Repository: TarletonGroup/CrystalPlasticity Branch: master Commit: 303ff9cbbaa2 Files: 180 Total size: 8.9 MB Directory structure: gitextract_jw1ye_9j/ ├── ARC runner/ │ └── abq_arc.sh ├── Documentation/ │ ├── ElementTypes.xlsx │ └── PROPS.xlsx ├── Dream3D2Abaqus/ │ ├── Step-1 Dream3D/ │ │ ├── testcase.csv │ │ ├── testcase.dream3d │ │ ├── testcase.inp │ │ ├── testcase.vox │ │ ├── testcase_.dream3d │ │ ├── testcase_.xdmf │ │ ├── testcase__.dream3d │ │ ├── testcase__.xdmf │ │ ├── testcase_elems.inp │ │ ├── testcase_elset.inp │ │ ├── testcase_gbels.txt │ │ ├── testcase_nodes.inp │ │ └── testcase_sects.inp │ ├── Step-2a Matlab/ │ │ ├── Dream3D2Abaqus.m │ │ ├── PROPS.xlsx │ │ ├── testcase.inp │ │ ├── testcase.vox │ │ ├── testcase_elems.inp │ │ ├── testcase_elset.inp │ │ ├── testcase_nodes.inp │ │ └── testcase_sects.inp │ └── Step-2b Python/ │ ├── Dream3D2Abaqus.py │ ├── PROPS.xlsx │ ├── testcase.inp │ ├── testcase.vox │ ├── testcase_elems.inp │ ├── testcase_elset.inp │ ├── testcase_nodes.inp │ └── testcase_sects.inp ├── Example - Polycrytal with PROPS/ │ ├── Job-1.inp │ ├── OXFORD-UMAT.f │ ├── backstress.f │ ├── cpsolver.f │ ├── creep.f │ ├── crss.f │ ├── errors.f │ ├── globalvariables.f │ ├── hardening.f │ ├── initializations.f │ ├── innerloop.f │ ├── irradiation.f │ ├── meshprop.f │ ├── slip.f │ ├── slipreverse.f │ ├── straingradients.f │ ├── userinputs.f │ ├── usermaterials.f │ ├── useroutputs.f │ └── utilities.f ├── Example - Residual deformation/ │ ├── Job-1.inp │ ├── OXFORD-UMAT.f │ ├── UEXTERNALDB.f │ ├── backstress.f │ ├── cpsolver.f │ ├── creep.f │ ├── crss.f │ ├── errors.f │ ├── globalvariables.f │ ├── hardening.f │ ├── initializations.f │ ├── innerloop.f │ ├── irradiation.f │ ├── meshprop.f │ ├── slip.f │ ├── slipreverse.f │ ├── straingradients.f │ ├── userinputs.f │ ├── usermaterials.f │ ├── useroutputs.f │ └── utilities.f ├── Example - Single crystal with material vox file/ │ ├── Job-1.inp │ ├── OXFORD-UMAT.f │ ├── backstress.f │ ├── cpsolver.f │ ├── creep.f │ ├── crss.f │ ├── errors.f │ ├── globalvariables.f │ ├── hardening.f │ ├── initializations.f │ ├── innerloop.f │ ├── irradiation.f │ ├── meshprop.f │ ├── slip.f │ ├── slipreverse.f │ ├── straingradients.f │ ├── userinputs.f │ ├── usermaterials.f │ ├── useroutputs.f │ └── utilities.f ├── Neper2Abaqus/ │ ├── Step-1 Neper/ │ │ ├── abq_hex.inp │ │ ├── abq_hex.msh │ │ ├── abq_hex.stelset │ │ ├── abq_tet.inp │ │ ├── abq_tet.msh │ │ ├── abq_tet.stelset │ │ ├── gene_mult_3.tess │ │ └── script │ ├── Step-2a Matlab/ │ │ ├── Neper2Abaqus.m │ │ ├── PROPS.xlsx │ │ ├── abq_hex.inp │ │ ├── abq_hex.msh │ │ ├── abq_tet.inp │ │ └── abq_tet.msh │ └── Step-2b Python/ │ ├── Neper2Abaqus.py │ ├── PROPS.xlsx │ ├── abq_hex.inp │ ├── abq_hex.msh │ ├── abq_tet.inp │ └── abq_tet.msh ├── OXFORD-UMAT v3.3/ │ ├── OXFORD-UMAT.f │ ├── UEXTERNALDB.f │ ├── backstress.f │ ├── cpsolver.f │ ├── creep.f │ ├── crss.f │ ├── errors.f │ ├── globalvariables.f │ ├── hardening.f │ ├── initializations.f │ ├── innerloop.f │ ├── irradiation.f │ ├── meshprop.f │ ├── miscellaneous.f │ ├── slip.f │ ├── slipreverse.f │ ├── straingradients.f │ ├── userinputs.f │ ├── usermaterials.f │ ├── useroutputs.f │ ├── utilities.f │ └── v3.3-updates.txt ├── README.md └── old version/ ├── NickelSuperalloy.f ├── README.md ├── SMAAspUserArrays.hdr ├── SMAAspUserSubroutines.hdr ├── SMAAspUserUtilities.hdr ├── UEL.for ├── abaqus_v6.env ├── kCRSS.f ├── kHardening.f ├── kMaterialParam.f ├── kRhoTwinInit.f ├── kcurlET.f ├── kdirns.f ├── kgndl2ET.f ├── kmat.f ├── kshapes.f ├── kslip0.f ├── kslip5ET.f ├── kslip6ET.f ├── kslipCreepPowerLaw.f ├── kslipDoubleExponent.f ├── kslipPowerLaw.f ├── ksvd.f ├── ktwinneighbourhood.f ├── ktwinrot.f ├── mycommon.f ├── test.txt ├── uexternaldb.f ├── umat.for ├── utils.f ├── xDir0ET.f ├── xDir1.f ├── xDir2.f ├── xDir2c.f ├── xDir4.f ├── xDirAlphaUranium.f ├── xNorm0ET.f ├── xNorm1.f ├── xNorm2.f ├── xNorm2c.f ├── xNorm4.f ├── xNormAlphaUranium.f ├── xTwinDirAlphaUranium.f └── xTwinNormAlphaUranium.f ================================================ FILE CONTENTS ================================================ ================================================ FILE: ARC runner/abq_arc.sh ================================================ #!/bin/bash #SBATCH --clusters=arc #SBATCH --partition=devel #SBATCH --nodes=2 #SBATCH --ntasks-per-node=48 #SBATCH --time=00:10:00 #SBATCH --job-name=AbaqusJob #SBATCH --switch=1 module purge module load Abaqus/2022 module load iimpi/2020a . abaqus.sh abaqus fetch job=Job-1.inp abaqus input=Job-1.inp job=AbaqusJob user=OXFORD-UMAT.f cpus=${SLURM_NTASKS} interactive ================================================ FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase.csv ================================================ 49 Feature_ID,AvgMisorientations,AvgQuats_0,AvgQuats_1,AvgQuats_2,AvgQuats_3,Centroids_0,Centroids_1,Centroids_2,EulerAngles_0,EulerAngles_1,EulerAngles_2,NumNeighbors,Phases,Sphericity,SurfaceAreaVolumeRatio,SurfaceFeatures,Volumes,surface 1,45.822422,0.52541733,0.70275456,0.022556955,0.47912818,6.4548388,3.3516128,2.6290324,4.0233464,2.1410608,2.1657498,7,1,0.029487295,164,1,155,0.58064514 2,44.52689,0.49648196,0.23105259,-0.83650637,0.019427212,13.341122,9.4158878,3.6028037,5.1247387,1.1590168,4.2535992,7,1,0.029487295,164,1,107,0.74766356 3,36.691441,-0.82023346,0.11776148,0.55376559,0.081810348,2.9147582,7.3142495,8.7315521,4.7164664,1.9533615,5.0016589,14,1,0.014566014,332,1,393,0.4351145 4,41.628105,0.69416827,0.13589515,0.47867107,0.52013171,18.644444,9.2222223,9.4444447,2.5910029,1.5714705,2.2043591,8,1,0.042051449,115,1,90,0.67777777 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47,36.119606,-0.078786992,0.15583827,0.40581295,0.89711916,10.934783,18.956522,1.9565217,4.7556744,0.35104439,0.6778962,4,1,0.076760583,63,1,46,0.60869563 48,32.403946,-0.6656267,-0.68806511,-0.023085797,0.28805307,8.3538208,12.39701,8.7392025,0.17003241,2.3209622,4.2225304,15,1,0.013584035,356,0,301,0.58139533 49,39.026283,0.33117127,-0.32123977,0.86993986,0.17417009,18.29394,11.269697,3.8151515,0.99821663,0.95909494,2.5385697,10,1,0.029668199,163,1,165,0.5151515 ================================================ FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase.inp ================================================ *Heading testcase ** Job name : testcase ** Generated by : ImportExport Version 6.5.163.1998a502a *Preprint, echo = NO, model = NO, history = NO, contact = NO ** ** ----------------------------Geometry---------------------------- ** *Include, Input = testcase_nodes.inp *Include, Input = testcase_elems.inp *Include, Input = testcase_elset.inp *Include, Input = testcase_sects.inp ** 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1 95.231 79.465 123.093 4 2 1 15 1 230.521 122.674 124.088 5 2 1 1 1 230.521 122.674 124.088 6 2 1 1 1 230.521 122.674 124.088 7 2 1 1 1 230.521 122.674 124.088 8 2 1 1 1 230.521 122.674 124.088 9 2 1 1 1 274.734 98.596 118.313 10 2 1 30 1 274.734 98.596 118.313 11 2 1 30 1 274.734 98.596 118.313 12 2 1 30 1 274.734 98.596 118.313 13 2 1 30 1 274.734 98.596 118.313 14 2 1 30 1 274.734 98.596 118.313 15 2 1 30 1 274.734 98.596 118.313 16 2 1 30 1 274.734 98.596 118.313 17 2 1 30 1 186.737 147.482 229.397 18 2 1 7 1 356.516 25.903 288.489 19 2 1 33 1 356.516 25.903 288.489 20 2 1 33 1 95.231 79.465 123.093 1 3 1 15 1 95.231 79.465 123.093 2 3 1 15 1 95.231 79.465 123.093 3 3 1 15 1 95.231 79.465 123.093 4 3 1 15 1 230.521 122.674 124.088 5 3 1 1 1 230.521 122.674 124.088 6 3 1 1 1 230.521 122.674 124.088 7 3 1 1 1 230.521 122.674 124.088 8 3 1 1 1 230.521 122.674 124.088 9 3 1 1 1 274.734 98.596 118.313 10 3 1 30 1 274.734 98.596 118.313 11 3 1 30 1 274.734 98.596 118.313 12 3 1 30 1 274.734 98.596 118.313 13 3 1 30 1 274.734 98.596 118.313 14 3 1 30 1 274.734 98.596 118.313 15 3 1 30 1 274.734 98.596 118.313 16 3 1 30 1 186.737 147.482 229.397 17 3 1 7 1 186.737 147.482 229.397 18 3 1 7 1 186.737 147.482 229.397 19 3 1 7 1 186.737 147.482 229.397 20 3 1 7 1 95.231 79.465 123.093 1 4 1 15 1 95.231 79.465 123.093 2 4 1 15 1 95.231 79.465 123.093 3 4 1 15 1 95.231 79.465 123.093 4 4 1 15 1 230.521 122.674 124.088 5 4 1 1 1 230.521 122.674 124.088 6 4 1 1 1 230.521 122.674 124.088 7 4 1 1 1 230.521 122.674 124.088 8 4 1 1 1 230.521 122.674 124.088 9 4 1 1 1 230.521 122.674 124.088 10 4 1 1 1 274.734 98.596 118.313 11 4 1 30 1 274.734 98.596 118.313 12 4 1 30 1 274.734 98.596 118.313 13 4 1 30 1 274.734 98.596 118.313 14 4 1 30 1 186.737 147.482 229.397 15 4 1 7 1 186.737 147.482 229.397 16 4 1 7 1 186.737 147.482 229.397 17 4 1 7 1 186.737 147.482 229.397 18 4 1 7 1 186.737 147.482 229.397 19 4 1 7 1 186.737 147.482 229.397 20 4 1 7 1 95.231 79.465 123.093 1 5 1 15 1 95.231 79.465 123.093 2 5 1 15 1 95.231 79.465 123.093 3 5 1 15 1 95.231 79.465 123.093 4 5 1 15 1 230.521 122.674 124.088 5 5 1 1 1 230.521 122.674 124.088 6 5 1 1 1 230.521 122.674 124.088 7 5 1 1 1 230.521 122.674 124.088 8 5 1 1 1 230.521 122.674 124.088 9 5 1 1 1 230.521 122.674 124.088 10 5 1 1 1 274.734 98.596 118.313 11 5 1 30 1 274.734 98.596 118.313 12 5 1 30 1 274.734 98.596 118.313 13 5 1 30 1 186.737 147.482 229.397 14 5 1 7 1 186.737 147.482 229.397 15 5 1 7 1 186.737 147.482 229.397 16 5 1 7 1 186.737 147.482 229.397 17 5 1 7 1 186.737 147.482 229.397 18 5 1 7 1 186.737 147.482 229.397 19 5 1 7 1 186.737 147.482 229.397 20 5 1 7 1 53.412 94.863 139.682 1 6 1 45 1 53.412 94.863 139.682 2 6 1 45 1 53.412 94.863 139.682 3 6 1 45 1 53.412 94.863 139.682 4 6 1 45 1 230.521 122.674 124.088 5 6 1 1 1 230.521 122.674 124.088 6 6 1 1 1 230.521 122.674 124.088 7 6 1 1 1 230.521 122.674 124.088 8 6 1 1 1 230.521 122.674 124.088 9 6 1 1 1 230.521 122.674 124.088 10 6 1 1 1 274.734 98.596 118.313 11 6 1 30 1 274.734 98.596 118.313 12 6 1 30 1 186.737 147.482 229.397 13 6 1 7 1 186.737 147.482 229.397 14 6 1 7 1 186.737 147.482 229.397 15 6 1 7 1 186.737 147.482 229.397 16 6 1 7 1 186.737 147.482 229.397 17 6 1 7 1 186.737 147.482 229.397 18 6 1 7 1 186.737 147.482 229.397 19 6 1 7 1 186.737 147.482 229.397 20 6 1 7 1 53.412 94.863 139.682 1 7 1 45 1 53.412 94.863 139.682 2 7 1 45 1 53.412 94.863 139.682 3 7 1 45 1 53.412 94.863 139.682 4 7 1 45 1 53.412 94.863 139.682 5 7 1 45 1 180.174 122.825 230.419 6 7 1 17 1 180.174 122.825 230.419 7 7 1 17 1 180.174 122.825 230.419 8 7 1 17 1 180.174 122.825 230.419 9 7 1 17 1 180.174 122.825 230.419 10 7 1 17 1 180.174 122.825 230.419 11 7 1 17 1 186.737 147.482 229.397 12 7 1 7 1 186.737 147.482 229.397 13 7 1 7 1 186.737 147.482 229.397 14 7 1 7 1 186.737 147.482 229.397 15 7 1 7 1 186.737 147.482 229.397 16 7 1 7 1 186.737 147.482 229.397 17 7 1 7 1 186.737 147.482 229.397 18 7 1 7 1 186.737 147.482 229.397 19 7 1 7 1 186.737 147.482 229.397 20 7 1 7 1 53.412 94.863 139.682 1 8 1 45 1 53.412 94.863 139.682 2 8 1 45 1 53.412 94.863 139.682 3 8 1 45 1 53.412 94.863 139.682 4 8 1 45 1 53.412 94.863 139.682 5 8 1 45 1 180.174 122.825 230.419 6 8 1 17 1 180.174 122.825 230.419 7 8 1 17 1 180.174 122.825 230.419 8 8 1 17 1 180.174 122.825 230.419 9 8 1 17 1 180.174 122.825 230.419 10 8 1 17 1 180.174 122.825 230.419 11 8 1 17 1 186.737 147.482 229.397 12 8 1 7 1 186.737 147.482 229.397 13 8 1 7 1 186.737 147.482 229.397 14 8 1 7 1 186.737 147.482 229.397 15 8 1 7 1 186.737 147.482 229.397 16 8 1 7 1 186.737 147.482 229.397 17 8 1 7 1 186.737 147.482 229.397 18 8 1 7 1 186.737 147.482 229.397 19 8 1 7 1 186.737 147.482 229.397 20 8 1 7 1 53.412 94.863 139.682 1 9 1 45 1 53.412 94.863 139.682 2 9 1 45 1 53.412 94.863 139.682 3 9 1 45 1 53.412 94.863 139.682 4 9 1 45 1 53.412 94.863 139.682 5 9 1 45 1 180.174 122.825 230.419 6 9 1 17 1 180.174 122.825 230.419 7 9 1 17 1 180.174 122.825 230.419 8 9 1 17 1 180.174 122.825 230.419 9 9 1 17 1 180.174 122.825 230.419 10 9 1 17 1 180.174 122.825 230.419 11 9 1 17 1 293.626 66.407 243.713 12 9 1 2 1 293.626 66.407 243.713 13 9 1 2 1 186.737 147.482 229.397 14 9 1 7 1 186.737 147.482 229.397 15 9 1 7 1 186.737 147.482 229.397 16 9 1 7 1 186.737 147.482 229.397 17 9 1 7 1 186.737 147.482 229.397 18 9 1 7 1 186.737 147.482 229.397 19 9 1 7 1 57.194 54.952 145.449 20 9 1 49 1 53.412 94.863 139.682 1 10 1 45 1 53.412 94.863 139.682 2 10 1 45 1 53.412 94.863 139.682 3 10 1 45 1 53.412 94.863 139.682 4 10 1 45 1 53.412 94.863 139.682 5 10 1 45 1 180.174 122.825 230.419 6 10 1 17 1 180.174 122.825 230.419 7 10 1 17 1 180.174 122.825 230.419 8 10 1 17 1 180.174 122.825 230.419 9 10 1 17 1 180.174 122.825 230.419 10 10 1 17 1 180.174 122.825 230.419 11 10 1 17 1 293.626 66.407 243.713 12 10 1 2 1 293.626 66.407 243.713 13 10 1 2 1 150.351 104.102 27.922 14 10 1 44 1 150.351 104.102 27.922 15 10 1 44 1 150.351 104.102 27.922 16 10 1 44 1 150.351 104.102 27.922 17 10 1 44 1 57.194 54.952 145.449 18 10 1 49 1 57.194 54.952 145.449 19 10 1 49 1 57.194 54.952 145.449 20 10 1 49 1 53.412 94.863 139.682 1 11 1 45 1 53.412 94.863 139.682 2 11 1 45 1 53.412 94.863 139.682 3 11 1 45 1 53.412 94.863 139.682 4 11 1 45 1 53.412 94.863 139.682 5 11 1 45 1 180.174 122.825 230.419 6 11 1 17 1 180.174 122.825 230.419 7 11 1 17 1 180.174 122.825 230.419 8 11 1 17 1 180.174 122.825 230.419 9 11 1 17 1 180.174 122.825 230.419 10 11 1 17 1 150.351 104.102 27.922 11 11 1 44 1 150.351 104.102 27.922 12 11 1 44 1 150.351 104.102 27.922 13 11 1 44 1 150.351 104.102 27.922 14 11 1 44 1 150.351 104.102 27.922 15 11 1 44 1 150.351 104.102 27.922 16 11 1 44 1 150.351 104.102 27.922 17 11 1 44 1 57.194 54.952 145.449 18 11 1 49 1 57.194 54.952 145.449 19 11 1 49 1 57.194 54.952 145.449 20 11 1 49 1 89.425 89.017 160.972 1 12 1 40 1 89.425 89.017 160.972 2 12 1 40 1 89.425 89.017 160.972 3 12 1 40 1 89.425 89.017 160.972 4 12 1 40 1 89.425 89.017 160.972 5 12 1 40 1 86.623 107.539 130.891 6 12 1 39 1 86.623 107.539 130.891 7 12 1 39 1 86.623 107.539 130.891 8 12 1 39 1 86.623 107.539 130.891 9 12 1 39 1 86.623 107.539 130.891 10 12 1 39 1 150.351 104.102 27.922 11 12 1 44 1 150.351 104.102 27.922 12 12 1 44 1 150.351 104.102 27.922 13 12 1 44 1 150.351 104.102 27.922 14 12 1 44 1 150.351 104.102 27.922 15 12 1 44 1 150.351 104.102 27.922 16 12 1 44 1 150.351 104.102 27.922 17 12 1 44 1 150.351 104.102 27.922 18 12 1 44 1 57.194 54.952 145.449 19 12 1 49 1 57.194 54.952 145.449 20 12 1 49 1 89.425 89.017 160.972 1 13 1 40 1 89.425 89.017 160.972 2 13 1 40 1 89.425 89.017 160.972 3 13 1 40 1 89.425 89.017 160.972 4 13 1 40 1 89.425 89.017 160.972 5 13 1 40 1 86.623 107.539 130.891 6 13 1 39 1 86.623 107.539 130.891 7 13 1 39 1 86.623 107.539 130.891 8 13 1 39 1 86.623 107.539 130.891 9 13 1 39 1 86.623 107.539 130.891 10 13 1 39 1 150.351 104.102 27.922 11 13 1 44 1 150.351 104.102 27.922 12 13 1 44 1 150.351 104.102 27.922 13 13 1 44 1 150.351 104.102 27.922 14 13 1 44 1 150.351 104.102 27.922 15 13 1 44 1 150.351 104.102 27.922 16 13 1 44 1 150.351 104.102 27.922 17 13 1 44 1 150.351 104.102 27.922 18 13 1 44 1 57.194 54.952 145.449 19 13 1 49 1 57.194 54.952 145.449 20 13 1 49 1 89.425 89.017 160.972 1 14 1 40 1 89.425 89.017 160.972 2 14 1 40 1 89.425 89.017 160.972 3 14 1 40 1 89.425 89.017 160.972 4 14 1 40 1 89.425 89.017 160.972 5 14 1 40 1 89.425 89.017 160.972 6 14 1 40 1 86.623 107.539 130.891 7 14 1 39 1 86.623 107.539 130.891 8 14 1 39 1 86.623 107.539 130.891 9 14 1 39 1 86.623 107.539 130.891 10 14 1 39 1 150.351 104.102 27.922 11 14 1 44 1 150.351 104.102 27.922 12 14 1 44 1 150.351 104.102 27.922 13 14 1 44 1 150.351 104.102 27.922 14 14 1 44 1 150.351 104.102 27.922 15 14 1 44 1 150.351 104.102 27.922 16 14 1 44 1 150.351 104.102 27.922 17 14 1 44 1 150.351 104.102 27.922 18 14 1 44 1 57.194 54.952 145.449 19 14 1 49 1 57.194 54.952 145.449 20 14 1 49 1 89.425 89.017 160.972 1 15 1 40 1 89.425 89.017 160.972 2 15 1 40 1 89.425 89.017 160.972 3 15 1 40 1 89.425 89.017 160.972 4 15 1 40 1 89.425 89.017 160.972 5 15 1 40 1 89.425 89.017 160.972 6 15 1 40 1 86.623 107.539 130.891 7 15 1 39 1 86.623 107.539 130.891 8 15 1 39 1 86.623 107.539 130.891 9 15 1 39 1 86.623 107.539 130.891 10 15 1 39 1 150.351 104.102 27.922 11 15 1 44 1 150.351 104.102 27.922 12 15 1 44 1 150.351 104.102 27.922 13 15 1 44 1 150.351 104.102 27.922 14 15 1 44 1 150.351 104.102 27.922 15 15 1 44 1 150.351 104.102 27.922 16 15 1 44 1 150.351 104.102 27.922 17 15 1 44 1 150.351 104.102 27.922 18 15 1 44 1 150.351 104.102 27.922 19 15 1 44 1 149.551 55.620 315.280 20 15 1 13 1 89.425 89.017 160.972 1 16 1 40 1 89.425 89.017 160.972 2 16 1 40 1 89.425 89.017 160.972 3 16 1 40 1 89.425 89.017 160.972 4 16 1 40 1 89.425 89.017 160.972 5 16 1 40 1 89.425 89.017 160.972 6 16 1 40 1 113.490 82.977 263.375 7 16 1 21 1 113.490 82.977 263.375 8 16 1 21 1 113.490 82.977 263.375 9 16 1 21 1 113.490 82.977 263.375 10 16 1 21 1 150.351 104.102 27.922 11 16 1 44 1 150.351 104.102 27.922 12 16 1 44 1 150.351 104.102 27.922 13 16 1 44 1 150.351 104.102 27.922 14 16 1 44 1 150.351 104.102 27.922 15 16 1 44 1 150.351 104.102 27.922 16 16 1 44 1 149.551 55.620 315.280 17 16 1 13 1 149.551 55.620 315.280 18 16 1 13 1 149.551 55.620 315.280 19 16 1 13 1 149.551 55.620 315.280 20 16 1 13 1 89.425 89.017 160.972 1 17 1 40 1 89.425 89.017 160.972 2 17 1 40 1 93.502 48.689 158.386 3 17 1 22 1 93.502 48.689 158.386 4 17 1 22 1 93.502 48.689 158.386 5 17 1 22 1 113.490 82.977 263.375 6 17 1 21 1 113.490 82.977 263.375 7 17 1 21 1 113.490 82.977 263.375 8 17 1 21 1 113.490 82.977 263.375 9 17 1 21 1 113.490 82.977 263.375 10 17 1 21 1 113.490 82.977 263.375 11 17 1 21 1 150.351 104.102 27.922 12 17 1 44 1 150.351 104.102 27.922 13 17 1 44 1 150.351 104.102 27.922 14 17 1 44 1 150.351 104.102 27.922 15 17 1 44 1 149.551 55.620 315.280 16 17 1 13 1 149.551 55.620 315.280 17 17 1 13 1 149.551 55.620 315.280 18 17 1 13 1 149.551 55.620 315.280 19 17 1 13 1 149.551 55.620 315.280 20 17 1 13 1 93.502 48.689 158.386 1 18 1 22 1 93.502 48.689 158.386 2 18 1 22 1 93.502 48.689 158.386 3 18 1 22 1 93.502 48.689 158.386 4 18 1 22 1 93.502 48.689 158.386 5 18 1 22 1 113.490 82.977 263.375 6 18 1 21 1 113.490 82.977 263.375 7 18 1 21 1 113.490 82.977 263.375 8 18 1 21 1 113.490 82.977 263.375 9 18 1 21 1 113.490 82.977 263.375 10 18 1 21 1 272.480 20.113 38.841 11 18 1 47 1 272.480 20.113 38.841 12 18 1 47 1 150.351 104.102 27.922 13 18 1 44 1 150.351 104.102 27.922 14 18 1 44 1 149.551 55.620 315.280 15 18 1 13 1 149.551 55.620 315.280 16 18 1 13 1 149.551 55.620 315.280 17 18 1 13 1 149.551 55.620 315.280 18 18 1 13 1 149.551 55.620 315.280 19 18 1 13 1 149.551 55.620 315.280 20 18 1 13 1 93.502 48.689 158.386 1 19 1 22 1 93.502 48.689 158.386 2 19 1 22 1 93.502 48.689 158.386 3 19 1 22 1 93.502 48.689 158.386 4 19 1 22 1 93.502 48.689 158.386 5 19 1 22 1 93.502 48.689 158.386 6 19 1 22 1 113.490 82.977 263.375 7 19 1 21 1 113.490 82.977 263.375 8 19 1 21 1 272.480 20.113 38.841 9 19 1 47 1 272.480 20.113 38.841 10 19 1 47 1 272.480 20.113 38.841 11 19 1 47 1 272.480 20.113 38.841 12 19 1 47 1 272.480 20.113 38.841 13 19 1 47 1 149.551 55.620 315.280 14 19 1 13 1 149.551 55.620 315.280 15 19 1 13 1 149.551 55.620 315.280 16 19 1 13 1 149.551 55.620 315.280 17 19 1 13 1 149.551 55.620 315.280 18 19 1 13 1 149.551 55.620 315.280 19 19 1 13 1 149.551 55.620 315.280 20 19 1 13 1 93.502 48.689 158.386 1 20 1 22 1 93.502 48.689 158.386 2 20 1 22 1 93.502 48.689 158.386 3 20 1 22 1 93.502 48.689 158.386 4 20 1 22 1 93.502 48.689 158.386 5 20 1 22 1 93.502 48.689 158.386 6 20 1 22 1 113.490 82.977 263.375 7 20 1 21 1 272.480 20.113 38.841 8 20 1 47 1 272.480 20.113 38.841 9 20 1 47 1 272.480 20.113 38.841 10 20 1 47 1 272.480 20.113 38.841 11 20 1 47 1 272.480 20.113 38.841 12 20 1 47 1 272.480 20.113 38.841 13 20 1 47 1 272.480 20.113 38.841 14 20 1 47 1 149.551 55.620 315.280 15 20 1 13 1 149.551 55.620 315.280 16 20 1 13 1 149.551 55.620 315.280 17 20 1 13 1 149.551 55.620 315.280 18 20 1 13 1 149.551 55.620 315.280 19 20 1 13 1 164.080 41.609 152.840 20 20 1 32 1 95.231 79.465 123.093 1 1 2 15 1 95.231 79.465 123.093 2 1 2 15 1 95.231 79.465 123.093 3 1 2 15 1 95.231 79.465 123.093 4 1 2 15 1 95.231 79.465 123.093 5 1 2 15 1 230.521 122.674 124.088 6 1 2 1 1 230.521 122.674 124.088 7 1 2 1 1 230.521 122.674 124.088 8 1 2 1 1 274.734 98.596 118.313 9 1 2 30 1 274.734 98.596 118.313 10 1 2 30 1 274.734 98.596 118.313 11 1 2 30 1 274.734 98.596 118.313 12 1 2 30 1 274.734 98.596 118.313 13 1 2 30 1 274.734 98.596 118.313 14 1 2 30 1 274.734 98.596 118.313 15 1 2 30 1 274.734 98.596 118.313 16 1 2 30 1 356.516 25.903 288.489 17 1 2 33 1 356.516 25.903 288.489 18 1 2 33 1 356.516 25.903 288.489 19 1 2 33 1 356.516 25.903 288.489 20 1 2 33 1 95.231 79.465 123.093 1 2 2 15 1 95.231 79.465 123.093 2 2 2 15 1 95.231 79.465 123.093 3 2 2 15 1 95.231 79.465 123.093 4 2 2 15 1 95.231 79.465 123.093 5 2 2 15 1 230.521 122.674 124.088 6 2 2 1 1 230.521 122.674 124.088 7 2 2 1 1 230.521 122.674 124.088 8 2 2 1 1 230.521 122.674 124.088 9 2 2 1 1 274.734 98.596 118.313 10 2 2 30 1 274.734 98.596 118.313 11 2 2 30 1 274.734 98.596 118.313 12 2 2 30 1 274.734 98.596 118.313 13 2 2 30 1 274.734 98.596 118.313 14 2 2 30 1 274.734 98.596 118.313 15 2 2 30 1 274.734 98.596 118.313 16 2 2 30 1 274.734 98.596 118.313 17 2 2 30 1 356.516 25.903 288.489 18 2 2 33 1 356.516 25.903 288.489 19 2 2 33 1 356.516 25.903 288.489 20 2 2 33 1 95.231 79.465 123.093 1 3 2 15 1 95.231 79.465 123.093 2 3 2 15 1 95.231 79.465 123.093 3 3 2 15 1 95.231 79.465 123.093 4 3 2 15 1 230.521 122.674 124.088 5 3 2 1 1 230.521 122.674 124.088 6 3 2 1 1 230.521 122.674 124.088 7 3 2 1 1 230.521 122.674 124.088 8 3 2 1 1 230.521 122.674 124.088 9 3 2 1 1 274.734 98.596 118.313 10 3 2 30 1 274.734 98.596 118.313 11 3 2 30 1 274.734 98.596 118.313 12 3 2 30 1 274.734 98.596 118.313 13 3 2 30 1 274.734 98.596 118.313 14 3 2 30 1 274.734 98.596 118.313 15 3 2 30 1 274.734 98.596 118.313 16 3 2 30 1 186.737 147.482 229.397 17 3 2 7 1 186.737 147.482 229.397 18 3 2 7 1 356.516 25.903 288.489 19 3 2 33 1 356.516 25.903 288.489 20 3 2 33 1 95.231 79.465 123.093 1 4 2 15 1 95.231 79.465 123.093 2 4 2 15 1 95.231 79.465 123.093 3 4 2 15 1 95.231 79.465 123.093 4 4 2 15 1 230.521 122.674 124.088 5 4 2 1 1 230.521 122.674 124.088 6 4 2 1 1 230.521 122.674 124.088 7 4 2 1 1 230.521 122.674 124.088 8 4 2 1 1 230.521 122.674 124.088 9 4 2 1 1 230.521 122.674 124.088 10 4 2 1 1 274.734 98.596 118.313 11 4 2 30 1 274.734 98.596 118.313 12 4 2 30 1 274.734 98.596 118.313 13 4 2 30 1 274.734 98.596 118.313 14 4 2 30 1 186.737 147.482 229.397 15 4 2 7 1 186.737 147.482 229.397 16 4 2 7 1 186.737 147.482 229.397 17 4 2 7 1 186.737 147.482 229.397 18 4 2 7 1 186.737 147.482 229.397 19 4 2 7 1 186.737 147.482 229.397 20 4 2 7 1 95.231 79.465 123.093 1 5 2 15 1 95.231 79.465 123.093 2 5 2 15 1 95.231 79.465 123.093 3 5 2 15 1 95.231 79.465 123.093 4 5 2 15 1 230.521 122.674 124.088 5 5 2 1 1 230.521 122.674 124.088 6 5 2 1 1 230.521 122.674 124.088 7 5 2 1 1 230.521 122.674 124.088 8 5 2 1 1 230.521 122.674 124.088 9 5 2 1 1 230.521 122.674 124.088 10 5 2 1 1 50.532 146.407 318.633 11 5 2 11 1 274.734 98.596 118.313 12 5 2 30 1 274.734 98.596 118.313 13 5 2 30 1 186.737 147.482 229.397 14 5 2 7 1 186.737 147.482 229.397 15 5 2 7 1 186.737 147.482 229.397 16 5 2 7 1 186.737 147.482 229.397 17 5 2 7 1 186.737 147.482 229.397 18 5 2 7 1 186.737 147.482 229.397 19 5 2 7 1 186.737 147.482 229.397 20 5 2 7 1 53.412 94.863 139.682 1 6 2 45 1 53.412 94.863 139.682 2 6 2 45 1 53.412 94.863 139.682 3 6 2 45 1 53.412 94.863 139.682 4 6 2 45 1 230.521 122.674 124.088 5 6 2 1 1 230.521 122.674 124.088 6 6 2 1 1 230.521 122.674 124.088 7 6 2 1 1 230.521 122.674 124.088 8 6 2 1 1 230.521 122.674 124.088 9 6 2 1 1 50.532 146.407 318.633 10 6 2 11 1 50.532 146.407 318.633 11 6 2 11 1 50.532 146.407 318.633 12 6 2 11 1 186.737 147.482 229.397 13 6 2 7 1 186.737 147.482 229.397 14 6 2 7 1 186.737 147.482 229.397 15 6 2 7 1 186.737 147.482 229.397 16 6 2 7 1 186.737 147.482 229.397 17 6 2 7 1 186.737 147.482 229.397 18 6 2 7 1 186.737 147.482 229.397 19 6 2 7 1 186.737 147.482 229.397 20 6 2 7 1 53.412 94.863 139.682 1 7 2 45 1 53.412 94.863 139.682 2 7 2 45 1 53.412 94.863 139.682 3 7 2 45 1 53.412 94.863 139.682 4 7 2 45 1 53.412 94.863 139.682 5 7 2 45 1 230.521 122.674 124.088 6 7 2 1 1 180.174 122.825 230.419 7 7 2 17 1 180.174 122.825 230.419 8 7 2 17 1 180.174 122.825 230.419 9 7 2 17 1 180.174 122.825 230.419 10 7 2 17 1 50.532 146.407 318.633 11 7 2 11 1 50.532 146.407 318.633 12 7 2 11 1 186.737 147.482 229.397 13 7 2 7 1 186.737 147.482 229.397 14 7 2 7 1 186.737 147.482 229.397 15 7 2 7 1 186.737 147.482 229.397 16 7 2 7 1 186.737 147.482 229.397 17 7 2 7 1 186.737 147.482 229.397 18 7 2 7 1 186.737 147.482 229.397 19 7 2 7 1 186.737 147.482 229.397 20 7 2 7 1 53.412 94.863 139.682 1 8 2 45 1 53.412 94.863 139.682 2 8 2 45 1 53.412 94.863 139.682 3 8 2 45 1 53.412 94.863 139.682 4 8 2 45 1 53.412 94.863 139.682 5 8 2 45 1 180.174 122.825 230.419 6 8 2 17 1 180.174 122.825 230.419 7 8 2 17 1 180.174 122.825 230.419 8 8 2 17 1 180.174 122.825 230.419 9 8 2 17 1 180.174 122.825 230.419 10 8 2 17 1 50.532 146.407 318.633 11 8 2 11 1 50.532 146.407 318.633 12 8 2 11 1 186.737 147.482 229.397 13 8 2 7 1 186.737 147.482 229.397 14 8 2 7 1 186.737 147.482 229.397 15 8 2 7 1 186.737 147.482 229.397 16 8 2 7 1 186.737 147.482 229.397 17 8 2 7 1 186.737 147.482 229.397 18 8 2 7 1 186.737 147.482 229.397 19 8 2 7 1 186.737 147.482 229.397 20 8 2 7 1 53.412 94.863 139.682 1 9 2 45 1 53.412 94.863 139.682 2 9 2 45 1 53.412 94.863 139.682 3 9 2 45 1 53.412 94.863 139.682 4 9 2 45 1 53.412 94.863 139.682 5 9 2 45 1 180.174 122.825 230.419 6 9 2 17 1 180.174 122.825 230.419 7 9 2 17 1 180.174 122.825 230.419 8 9 2 17 1 180.174 122.825 230.419 9 9 2 17 1 180.174 122.825 230.419 10 9 2 17 1 180.174 122.825 230.419 11 9 2 17 1 293.626 66.407 243.713 12 9 2 2 1 293.626 66.407 243.713 13 9 2 2 1 293.626 66.407 243.713 14 9 2 2 1 293.626 66.407 243.713 15 9 2 2 1 293.626 66.407 243.713 16 9 2 2 1 186.737 147.482 229.397 17 9 2 7 1 186.737 147.482 229.397 18 9 2 7 1 57.194 54.952 145.449 19 9 2 49 1 57.194 54.952 145.449 20 9 2 49 1 53.412 94.863 139.682 1 10 2 45 1 53.412 94.863 139.682 2 10 2 45 1 53.412 94.863 139.682 3 10 2 45 1 53.412 94.863 139.682 4 10 2 45 1 53.412 94.863 139.682 5 10 2 45 1 180.174 122.825 230.419 6 10 2 17 1 180.174 122.825 230.419 7 10 2 17 1 180.174 122.825 230.419 8 10 2 17 1 180.174 122.825 230.419 9 10 2 17 1 180.174 122.825 230.419 10 10 2 17 1 180.174 122.825 230.419 11 10 2 17 1 293.626 66.407 243.713 12 10 2 2 1 293.626 66.407 243.713 13 10 2 2 1 293.626 66.407 243.713 14 10 2 2 1 293.626 66.407 243.713 15 10 2 2 1 293.626 66.407 243.713 16 10 2 2 1 57.194 54.952 145.449 17 10 2 49 1 57.194 54.952 145.449 18 10 2 49 1 57.194 54.952 145.449 19 10 2 49 1 57.194 54.952 145.449 20 10 2 49 1 53.412 94.863 139.682 1 11 2 45 1 53.412 94.863 139.682 2 11 2 45 1 53.412 94.863 139.682 3 11 2 45 1 53.412 94.863 139.682 4 11 2 45 1 53.412 94.863 139.682 5 11 2 45 1 86.623 107.539 130.891 6 11 2 39 1 86.623 107.539 130.891 7 11 2 39 1 86.623 107.539 130.891 8 11 2 39 1 86.623 107.539 130.891 9 11 2 39 1 86.623 107.539 130.891 10 11 2 39 1 86.623 107.539 130.891 11 11 2 39 1 293.626 66.407 243.713 12 11 2 2 1 293.626 66.407 243.713 13 11 2 2 1 293.626 66.407 243.713 14 11 2 2 1 150.351 104.102 27.922 15 11 2 44 1 150.351 104.102 27.922 16 11 2 44 1 150.351 104.102 27.922 17 11 2 44 1 57.194 54.952 145.449 18 11 2 49 1 57.194 54.952 145.449 19 11 2 49 1 57.194 54.952 145.449 20 11 2 49 1 89.425 89.017 160.972 1 12 2 40 1 89.425 89.017 160.972 2 12 2 40 1 89.425 89.017 160.972 3 12 2 40 1 89.425 89.017 160.972 4 12 2 40 1 89.425 89.017 160.972 5 12 2 40 1 86.623 107.539 130.891 6 12 2 39 1 86.623 107.539 130.891 7 12 2 39 1 86.623 107.539 130.891 8 12 2 39 1 86.623 107.539 130.891 9 12 2 39 1 86.623 107.539 130.891 10 12 2 39 1 86.623 107.539 130.891 11 12 2 39 1 150.351 104.102 27.922 12 12 2 44 1 150.351 104.102 27.922 13 12 2 44 1 150.351 104.102 27.922 14 12 2 44 1 150.351 104.102 27.922 15 12 2 44 1 150.351 104.102 27.922 16 12 2 44 1 150.351 104.102 27.922 17 12 2 44 1 57.194 54.952 145.449 18 12 2 49 1 57.194 54.952 145.449 19 12 2 49 1 57.194 54.952 145.449 20 12 2 49 1 89.425 89.017 160.972 1 13 2 40 1 89.425 89.017 160.972 2 13 2 40 1 89.425 89.017 160.972 3 13 2 40 1 89.425 89.017 160.972 4 13 2 40 1 89.425 89.017 160.972 5 13 2 40 1 86.623 107.539 130.891 6 13 2 39 1 86.623 107.539 130.891 7 13 2 39 1 86.623 107.539 130.891 8 13 2 39 1 86.623 107.539 130.891 9 13 2 39 1 86.623 107.539 130.891 10 13 2 39 1 150.351 104.102 27.922 11 13 2 44 1 150.351 104.102 27.922 12 13 2 44 1 150.351 104.102 27.922 13 13 2 44 1 150.351 104.102 27.922 14 13 2 44 1 150.351 104.102 27.922 15 13 2 44 1 150.351 104.102 27.922 16 13 2 44 1 150.351 104.102 27.922 17 13 2 44 1 57.194 54.952 145.449 18 13 2 49 1 57.194 54.952 145.449 19 13 2 49 1 57.194 54.952 145.449 20 13 2 49 1 89.425 89.017 160.972 1 14 2 40 1 89.425 89.017 160.972 2 14 2 40 1 89.425 89.017 160.972 3 14 2 40 1 89.425 89.017 160.972 4 14 2 40 1 89.425 89.017 160.972 5 14 2 40 1 89.425 89.017 160.972 6 14 2 40 1 86.623 107.539 130.891 7 14 2 39 1 86.623 107.539 130.891 8 14 2 39 1 86.623 107.539 130.891 9 14 2 39 1 86.623 107.539 130.891 10 14 2 39 1 150.351 104.102 27.922 11 14 2 44 1 150.351 104.102 27.922 12 14 2 44 1 150.351 104.102 27.922 13 14 2 44 1 150.351 104.102 27.922 14 14 2 44 1 150.351 104.102 27.922 15 14 2 44 1 150.351 104.102 27.922 16 14 2 44 1 150.351 104.102 27.922 17 14 2 44 1 150.351 104.102 27.922 18 14 2 44 1 57.194 54.952 145.449 19 14 2 49 1 57.194 54.952 145.449 20 14 2 49 1 89.425 89.017 160.972 1 15 2 40 1 89.425 89.017 160.972 2 15 2 40 1 89.425 89.017 160.972 3 15 2 40 1 89.425 89.017 160.972 4 15 2 40 1 89.425 89.017 160.972 5 15 2 40 1 89.425 89.017 160.972 6 15 2 40 1 86.623 107.539 130.891 7 15 2 39 1 86.623 107.539 130.891 8 15 2 39 1 86.623 107.539 130.891 9 15 2 39 1 86.623 107.539 130.891 10 15 2 39 1 150.351 104.102 27.922 11 15 2 44 1 150.351 104.102 27.922 12 15 2 44 1 150.351 104.102 27.922 13 15 2 44 1 150.351 104.102 27.922 14 15 2 44 1 150.351 104.102 27.922 15 15 2 44 1 150.351 104.102 27.922 16 15 2 44 1 150.351 104.102 27.922 17 15 2 44 1 150.351 104.102 27.922 18 15 2 44 1 57.194 54.952 145.449 19 15 2 49 1 57.194 54.952 145.449 20 15 2 49 1 89.425 89.017 160.972 1 16 2 40 1 89.425 89.017 160.972 2 16 2 40 1 89.425 89.017 160.972 3 16 2 40 1 89.425 89.017 160.972 4 16 2 40 1 89.425 89.017 160.972 5 16 2 40 1 113.490 82.977 263.375 6 16 2 21 1 113.490 82.977 263.375 7 16 2 21 1 113.490 82.977 263.375 8 16 2 21 1 113.490 82.977 263.375 9 16 2 21 1 113.490 82.977 263.375 10 16 2 21 1 113.490 82.977 263.375 11 16 2 21 1 150.351 104.102 27.922 12 16 2 44 1 150.351 104.102 27.922 13 16 2 44 1 150.351 104.102 27.922 14 16 2 44 1 150.351 104.102 27.922 15 16 2 44 1 150.351 104.102 27.922 16 16 2 44 1 149.551 55.620 315.280 17 16 2 13 1 149.551 55.620 315.280 18 16 2 13 1 149.551 55.620 315.280 19 16 2 13 1 149.551 55.620 315.280 20 16 2 13 1 89.425 89.017 160.972 1 17 2 40 1 89.425 89.017 160.972 2 17 2 40 1 89.425 89.017 160.972 3 17 2 40 1 93.502 48.689 158.386 4 17 2 22 1 93.502 48.689 158.386 5 17 2 22 1 113.490 82.977 263.375 6 17 2 21 1 113.490 82.977 263.375 7 17 2 21 1 113.490 82.977 263.375 8 17 2 21 1 113.490 82.977 263.375 9 17 2 21 1 113.490 82.977 263.375 10 17 2 21 1 113.490 82.977 263.375 11 17 2 21 1 150.351 104.102 27.922 12 17 2 44 1 150.351 104.102 27.922 13 17 2 44 1 150.351 104.102 27.922 14 17 2 44 1 150.351 104.102 27.922 15 17 2 44 1 149.551 55.620 315.280 16 17 2 13 1 149.551 55.620 315.280 17 17 2 13 1 149.551 55.620 315.280 18 17 2 13 1 149.551 55.620 315.280 19 17 2 13 1 149.551 55.620 315.280 20 17 2 13 1 93.502 48.689 158.386 1 18 2 22 1 93.502 48.689 158.386 2 18 2 22 1 93.502 48.689 158.386 3 18 2 22 1 93.502 48.689 158.386 4 18 2 22 1 93.502 48.689 158.386 5 18 2 22 1 113.490 82.977 263.375 6 18 2 21 1 113.490 82.977 263.375 7 18 2 21 1 113.490 82.977 263.375 8 18 2 21 1 113.490 82.977 263.375 9 18 2 21 1 113.490 82.977 263.375 10 18 2 21 1 272.480 20.113 38.841 11 18 2 47 1 272.480 20.113 38.841 12 18 2 47 1 150.351 104.102 27.922 13 18 2 44 1 150.351 104.102 27.922 14 18 2 44 1 149.551 55.620 315.280 15 18 2 13 1 149.551 55.620 315.280 16 18 2 13 1 149.551 55.620 315.280 17 18 2 13 1 149.551 55.620 315.280 18 18 2 13 1 149.551 55.620 315.280 19 18 2 13 1 164.080 41.609 152.840 20 18 2 32 1 93.502 48.689 158.386 1 19 2 22 1 93.502 48.689 158.386 2 19 2 22 1 93.502 48.689 158.386 3 19 2 22 1 93.502 48.689 158.386 4 19 2 22 1 93.502 48.689 158.386 5 19 2 22 1 113.490 82.977 263.375 6 19 2 21 1 113.490 82.977 263.375 7 19 2 21 1 113.490 82.977 263.375 8 19 2 21 1 113.490 82.977 263.375 9 19 2 21 1 272.480 20.113 38.841 10 19 2 47 1 272.480 20.113 38.841 11 19 2 47 1 272.480 20.113 38.841 12 19 2 47 1 272.480 20.113 38.841 13 19 2 47 1 149.551 55.620 315.280 14 19 2 13 1 149.551 55.620 315.280 15 19 2 13 1 149.551 55.620 315.280 16 19 2 13 1 149.551 55.620 315.280 17 19 2 13 1 149.551 55.620 315.280 18 19 2 13 1 149.551 55.620 315.280 19 19 2 13 1 164.080 41.609 152.840 20 19 2 32 1 93.502 48.689 158.386 1 20 2 22 1 93.502 48.689 158.386 2 20 2 22 1 93.502 48.689 158.386 3 20 2 22 1 93.502 48.689 158.386 4 20 2 22 1 93.502 48.689 158.386 5 20 2 22 1 93.502 48.689 158.386 6 20 2 22 1 113.490 82.977 263.375 7 20 2 21 1 113.490 82.977 263.375 8 20 2 21 1 272.480 20.113 38.841 9 20 2 47 1 272.480 20.113 38.841 10 20 2 47 1 272.480 20.113 38.841 11 20 2 47 1 272.480 20.113 38.841 12 20 2 47 1 272.480 20.113 38.841 13 20 2 47 1 272.480 20.113 38.841 14 20 2 47 1 149.551 55.620 315.280 15 20 2 13 1 149.551 55.620 315.280 16 20 2 13 1 149.551 55.620 315.280 17 20 2 13 1 149.551 55.620 315.280 18 20 2 13 1 164.080 41.609 152.840 19 20 2 32 1 164.080 41.609 152.840 20 20 2 32 1 95.231 79.465 123.093 1 1 3 15 1 95.231 79.465 123.093 2 1 3 15 1 95.231 79.465 123.093 3 1 3 15 1 95.231 79.465 123.093 4 1 3 15 1 95.231 79.465 123.093 5 1 3 15 1 230.521 122.674 124.088 6 1 3 1 1 230.521 122.674 124.088 7 1 3 1 1 230.521 122.674 124.088 8 1 3 1 1 274.734 98.596 118.313 9 1 3 30 1 274.734 98.596 118.313 10 1 3 30 1 274.734 98.596 118.313 11 1 3 30 1 274.734 98.596 118.313 12 1 3 30 1 274.734 98.596 118.313 13 1 3 30 1 274.734 98.596 118.313 14 1 3 30 1 274.734 98.596 118.313 15 1 3 30 1 356.516 25.903 288.489 16 1 3 33 1 356.516 25.903 288.489 17 1 3 33 1 356.516 25.903 288.489 18 1 3 33 1 356.516 25.903 288.489 19 1 3 33 1 356.516 25.903 288.489 20 1 3 33 1 95.231 79.465 123.093 1 2 3 15 1 95.231 79.465 123.093 2 2 3 15 1 95.231 79.465 123.093 3 2 3 15 1 95.231 79.465 123.093 4 2 3 15 1 230.521 122.674 124.088 5 2 3 1 1 230.521 122.674 124.088 6 2 3 1 1 230.521 122.674 124.088 7 2 3 1 1 230.521 122.674 124.088 8 2 3 1 1 230.521 122.674 124.088 9 2 3 1 1 274.734 98.596 118.313 10 2 3 30 1 274.734 98.596 118.313 11 2 3 30 1 274.734 98.596 118.313 12 2 3 30 1 274.734 98.596 118.313 13 2 3 30 1 274.734 98.596 118.313 14 2 3 30 1 274.734 98.596 118.313 15 2 3 30 1 356.516 25.903 288.489 16 2 3 33 1 356.516 25.903 288.489 17 2 3 33 1 356.516 25.903 288.489 18 2 3 33 1 356.516 25.903 288.489 19 2 3 33 1 356.516 25.903 288.489 20 2 3 33 1 95.231 79.465 123.093 1 3 3 15 1 95.231 79.465 123.093 2 3 3 15 1 95.231 79.465 123.093 3 3 3 15 1 95.231 79.465 123.093 4 3 3 15 1 230.521 122.674 124.088 5 3 3 1 1 230.521 122.674 124.088 6 3 3 1 1 230.521 122.674 124.088 7 3 3 1 1 230.521 122.674 124.088 8 3 3 1 1 230.521 122.674 124.088 9 3 3 1 1 274.734 98.596 118.313 10 3 3 30 1 274.734 98.596 118.313 11 3 3 30 1 274.734 98.596 118.313 12 3 3 30 1 274.734 98.596 118.313 13 3 3 30 1 274.734 98.596 118.313 14 3 3 30 1 274.734 98.596 118.313 15 3 3 30 1 356.516 25.903 288.489 16 3 3 33 1 356.516 25.903 288.489 17 3 3 33 1 356.516 25.903 288.489 18 3 3 33 1 356.516 25.903 288.489 19 3 3 33 1 356.516 25.903 288.489 20 3 3 33 1 95.231 79.465 123.093 1 4 3 15 1 95.231 79.465 123.093 2 4 3 15 1 95.231 79.465 123.093 3 4 3 15 1 95.231 79.465 123.093 4 4 3 15 1 230.521 122.674 124.088 5 4 3 1 1 230.521 122.674 124.088 6 4 3 1 1 230.521 122.674 124.088 7 4 3 1 1 230.521 122.674 124.088 8 4 3 1 1 230.521 122.674 124.088 9 4 3 1 1 230.521 122.674 124.088 10 4 3 1 1 274.734 98.596 118.313 11 4 3 30 1 274.734 98.596 118.313 12 4 3 30 1 274.734 98.596 118.313 13 4 3 30 1 274.734 98.596 118.313 14 4 3 30 1 186.737 147.482 229.397 15 4 3 7 1 186.737 147.482 229.397 16 4 3 7 1 186.737 147.482 229.397 17 4 3 7 1 186.737 147.482 229.397 18 4 3 7 1 186.737 147.482 229.397 19 4 3 7 1 356.516 25.903 288.489 20 4 3 33 1 95.231 79.465 123.093 1 5 3 15 1 95.231 79.465 123.093 2 5 3 15 1 95.231 79.465 123.093 3 5 3 15 1 95.231 79.465 123.093 4 5 3 15 1 230.521 122.674 124.088 5 5 3 1 1 230.521 122.674 124.088 6 5 3 1 1 230.521 122.674 124.088 7 5 3 1 1 230.521 122.674 124.088 8 5 3 1 1 230.521 122.674 124.088 9 5 3 1 1 50.532 146.407 318.633 10 5 3 11 1 50.532 146.407 318.633 11 5 3 11 1 50.532 146.407 318.633 12 5 3 11 1 274.734 98.596 118.313 13 5 3 30 1 186.737 147.482 229.397 14 5 3 7 1 186.737 147.482 229.397 15 5 3 7 1 186.737 147.482 229.397 16 5 3 7 1 186.737 147.482 229.397 17 5 3 7 1 186.737 147.482 229.397 18 5 3 7 1 186.737 147.482 229.397 19 5 3 7 1 186.737 147.482 229.397 20 5 3 7 1 53.412 94.863 139.682 1 6 3 45 1 53.412 94.863 139.682 2 6 3 45 1 53.412 94.863 139.682 3 6 3 45 1 53.412 94.863 139.682 4 6 3 45 1 230.521 122.674 124.088 5 6 3 1 1 230.521 122.674 124.088 6 6 3 1 1 230.521 122.674 124.088 7 6 3 1 1 230.521 122.674 124.088 8 6 3 1 1 50.532 146.407 318.633 9 6 3 11 1 50.532 146.407 318.633 10 6 3 11 1 50.532 146.407 318.633 11 6 3 11 1 50.532 146.407 318.633 12 6 3 11 1 186.737 147.482 229.397 13 6 3 7 1 186.737 147.482 229.397 14 6 3 7 1 186.737 147.482 229.397 15 6 3 7 1 186.737 147.482 229.397 16 6 3 7 1 186.737 147.482 229.397 17 6 3 7 1 186.737 147.482 229.397 18 6 3 7 1 186.737 147.482 229.397 19 6 3 7 1 186.737 147.482 229.397 20 6 3 7 1 53.412 94.863 139.682 1 7 3 45 1 53.412 94.863 139.682 2 7 3 45 1 53.412 94.863 139.682 3 7 3 45 1 53.412 94.863 139.682 4 7 3 45 1 53.412 94.863 139.682 5 7 3 45 1 230.521 122.674 124.088 6 7 3 1 1 180.174 122.825 230.419 7 7 3 17 1 180.174 122.825 230.419 8 7 3 17 1 180.174 122.825 230.419 9 7 3 17 1 50.532 146.407 318.633 10 7 3 11 1 50.532 146.407 318.633 11 7 3 11 1 50.532 146.407 318.633 12 7 3 11 1 186.737 147.482 229.397 13 7 3 7 1 186.737 147.482 229.397 14 7 3 7 1 186.737 147.482 229.397 15 7 3 7 1 186.737 147.482 229.397 16 7 3 7 1 186.737 147.482 229.397 17 7 3 7 1 186.737 147.482 229.397 18 7 3 7 1 186.737 147.482 229.397 19 7 3 7 1 186.737 147.482 229.397 20 7 3 7 1 53.412 94.863 139.682 1 8 3 45 1 53.412 94.863 139.682 2 8 3 45 1 53.412 94.863 139.682 3 8 3 45 1 53.412 94.863 139.682 4 8 3 45 1 53.412 94.863 139.682 5 8 3 45 1 180.174 122.825 230.419 6 8 3 17 1 180.174 122.825 230.419 7 8 3 17 1 180.174 122.825 230.419 8 8 3 17 1 180.174 122.825 230.419 9 8 3 17 1 180.174 122.825 230.419 10 8 3 17 1 50.532 146.407 318.633 11 8 3 11 1 293.626 66.407 243.713 12 8 3 2 1 293.626 66.407 243.713 13 8 3 2 1 293.626 66.407 243.713 14 8 3 2 1 186.737 147.482 229.397 15 8 3 7 1 186.737 147.482 229.397 16 8 3 7 1 186.737 147.482 229.397 17 8 3 7 1 186.737 147.482 229.397 18 8 3 7 1 186.737 147.482 229.397 19 8 3 7 1 57.194 54.952 145.449 20 8 3 49 1 53.412 94.863 139.682 1 9 3 45 1 53.412 94.863 139.682 2 9 3 45 1 53.412 94.863 139.682 3 9 3 45 1 53.412 94.863 139.682 4 9 3 45 1 53.412 94.863 139.682 5 9 3 45 1 180.174 122.825 230.419 6 9 3 17 1 180.174 122.825 230.419 7 9 3 17 1 180.174 122.825 230.419 8 9 3 17 1 180.174 122.825 230.419 9 9 3 17 1 180.174 122.825 230.419 10 9 3 17 1 180.174 122.825 230.419 11 9 3 17 1 293.626 66.407 243.713 12 9 3 2 1 293.626 66.407 243.713 13 9 3 2 1 293.626 66.407 243.713 14 9 3 2 1 293.626 66.407 243.713 15 9 3 2 1 293.626 66.407 243.713 16 9 3 2 1 186.737 147.482 229.397 17 9 3 7 1 186.737 147.482 229.397 18 9 3 7 1 57.194 54.952 145.449 19 9 3 49 1 57.194 54.952 145.449 20 9 3 49 1 53.412 94.863 139.682 1 10 3 45 1 53.412 94.863 139.682 2 10 3 45 1 53.412 94.863 139.682 3 10 3 45 1 53.412 94.863 139.682 4 10 3 45 1 53.412 94.863 139.682 5 10 3 45 1 180.174 122.825 230.419 6 10 3 17 1 180.174 122.825 230.419 7 10 3 17 1 180.174 122.825 230.419 8 10 3 17 1 180.174 122.825 230.419 9 10 3 17 1 180.174 122.825 230.419 10 10 3 17 1 180.174 122.825 230.419 11 10 3 17 1 293.626 66.407 243.713 12 10 3 2 1 293.626 66.407 243.713 13 10 3 2 1 293.626 66.407 243.713 14 10 3 2 1 293.626 66.407 243.713 15 10 3 2 1 293.626 66.407 243.713 16 10 3 2 1 57.194 54.952 145.449 17 10 3 49 1 57.194 54.952 145.449 18 10 3 49 1 57.194 54.952 145.449 19 10 3 49 1 57.194 54.952 145.449 20 10 3 49 1 89.425 89.017 160.972 1 11 3 40 1 89.425 89.017 160.972 2 11 3 40 1 53.412 94.863 139.682 3 11 3 45 1 53.412 94.863 139.682 4 11 3 45 1 53.412 94.863 139.682 5 11 3 45 1 86.623 107.539 130.891 6 11 3 39 1 86.623 107.539 130.891 7 11 3 39 1 86.623 107.539 130.891 8 11 3 39 1 86.623 107.539 130.891 9 11 3 39 1 86.623 107.539 130.891 10 11 3 39 1 86.623 107.539 130.891 11 11 3 39 1 293.626 66.407 243.713 12 11 3 2 1 293.626 66.407 243.713 13 11 3 2 1 293.626 66.407 243.713 14 11 3 2 1 293.626 66.407 243.713 15 11 3 2 1 293.626 66.407 243.713 16 11 3 2 1 57.194 54.952 145.449 17 11 3 49 1 57.194 54.952 145.449 18 11 3 49 1 57.194 54.952 145.449 19 11 3 49 1 57.194 54.952 145.449 20 11 3 49 1 89.425 89.017 160.972 1 12 3 40 1 89.425 89.017 160.972 2 12 3 40 1 89.425 89.017 160.972 3 12 3 40 1 89.425 89.017 160.972 4 12 3 40 1 89.425 89.017 160.972 5 12 3 40 1 86.623 107.539 130.891 6 12 3 39 1 86.623 107.539 130.891 7 12 3 39 1 86.623 107.539 130.891 8 12 3 39 1 86.623 107.539 130.891 9 12 3 39 1 86.623 107.539 130.891 10 12 3 39 1 86.623 107.539 130.891 11 12 3 39 1 150.351 104.102 27.922 12 12 3 44 1 150.351 104.102 27.922 13 12 3 44 1 150.351 104.102 27.922 14 12 3 44 1 150.351 104.102 27.922 15 12 3 44 1 150.351 104.102 27.922 16 12 3 44 1 57.194 54.952 145.449 17 12 3 49 1 57.194 54.952 145.449 18 12 3 49 1 57.194 54.952 145.449 19 12 3 49 1 57.194 54.952 145.449 20 12 3 49 1 89.425 89.017 160.972 1 13 3 40 1 89.425 89.017 160.972 2 13 3 40 1 89.425 89.017 160.972 3 13 3 40 1 89.425 89.017 160.972 4 13 3 40 1 89.425 89.017 160.972 5 13 3 40 1 86.623 107.539 130.891 6 13 3 39 1 86.623 107.539 130.891 7 13 3 39 1 86.623 107.539 130.891 8 13 3 39 1 86.623 107.539 130.891 9 13 3 39 1 86.623 107.539 130.891 10 13 3 39 1 86.623 107.539 130.891 11 13 3 39 1 150.351 104.102 27.922 12 13 3 44 1 150.351 104.102 27.922 13 13 3 44 1 150.351 104.102 27.922 14 13 3 44 1 150.351 104.102 27.922 15 13 3 44 1 150.351 104.102 27.922 16 13 3 44 1 150.351 104.102 27.922 17 13 3 44 1 57.194 54.952 145.449 18 13 3 49 1 57.194 54.952 145.449 19 13 3 49 1 57.194 54.952 145.449 20 13 3 49 1 89.425 89.017 160.972 1 14 3 40 1 89.425 89.017 160.972 2 14 3 40 1 89.425 89.017 160.972 3 14 3 40 1 89.425 89.017 160.972 4 14 3 40 1 89.425 89.017 160.972 5 14 3 40 1 86.623 107.539 130.891 6 14 3 39 1 86.623 107.539 130.891 7 14 3 39 1 86.623 107.539 130.891 8 14 3 39 1 86.623 107.539 130.891 9 14 3 39 1 86.623 107.539 130.891 10 14 3 39 1 150.351 104.102 27.922 11 14 3 44 1 150.351 104.102 27.922 12 14 3 44 1 150.351 104.102 27.922 13 14 3 44 1 150.351 104.102 27.922 14 14 3 44 1 150.351 104.102 27.922 15 14 3 44 1 150.351 104.102 27.922 16 14 3 44 1 150.351 104.102 27.922 17 14 3 44 1 57.194 54.952 145.449 18 14 3 49 1 57.194 54.952 145.449 19 14 3 49 1 57.194 54.952 145.449 20 14 3 49 1 89.425 89.017 160.972 1 15 3 40 1 89.425 89.017 160.972 2 15 3 40 1 89.425 89.017 160.972 3 15 3 40 1 89.425 89.017 160.972 4 15 3 40 1 89.425 89.017 160.972 5 15 3 40 1 113.490 82.977 263.375 6 15 3 21 1 113.490 82.977 263.375 7 15 3 21 1 86.623 107.539 130.891 8 15 3 39 1 113.490 82.977 263.375 9 15 3 21 1 113.490 82.977 263.375 10 15 3 21 1 150.351 104.102 27.922 11 15 3 44 1 150.351 104.102 27.922 12 15 3 44 1 150.351 104.102 27.922 13 15 3 44 1 150.351 104.102 27.922 14 15 3 44 1 150.351 104.102 27.922 15 15 3 44 1 150.351 104.102 27.922 16 15 3 44 1 150.351 104.102 27.922 17 15 3 44 1 57.194 54.952 145.449 18 15 3 49 1 57.194 54.952 145.449 19 15 3 49 1 57.194 54.952 145.449 20 15 3 49 1 89.425 89.017 160.972 1 16 3 40 1 89.425 89.017 160.972 2 16 3 40 1 89.425 89.017 160.972 3 16 3 40 1 89.425 89.017 160.972 4 16 3 40 1 89.425 89.017 160.972 5 16 3 40 1 113.490 82.977 263.375 6 16 3 21 1 113.490 82.977 263.375 7 16 3 21 1 113.490 82.977 263.375 8 16 3 21 1 113.490 82.977 263.375 9 16 3 21 1 113.490 82.977 263.375 10 16 3 21 1 113.490 82.977 263.375 11 16 3 21 1 150.351 104.102 27.922 12 16 3 44 1 150.351 104.102 27.922 13 16 3 44 1 150.351 104.102 27.922 14 16 3 44 1 150.351 104.102 27.922 15 16 3 44 1 150.351 104.102 27.922 16 16 3 44 1 149.551 55.620 315.280 17 16 3 13 1 149.551 55.620 315.280 18 16 3 13 1 149.551 55.620 315.280 19 16 3 13 1 149.551 55.620 315.280 20 16 3 13 1 89.425 89.017 160.972 1 17 3 40 1 89.425 89.017 160.972 2 17 3 40 1 89.425 89.017 160.972 3 17 3 40 1 89.425 89.017 160.972 4 17 3 40 1 113.490 82.977 263.375 5 17 3 21 1 113.490 82.977 263.375 6 17 3 21 1 113.490 82.977 263.375 7 17 3 21 1 113.490 82.977 263.375 8 17 3 21 1 113.490 82.977 263.375 9 17 3 21 1 113.490 82.977 263.375 10 17 3 21 1 113.490 82.977 263.375 11 17 3 21 1 150.351 104.102 27.922 12 17 3 44 1 150.351 104.102 27.922 13 17 3 44 1 150.351 104.102 27.922 14 17 3 44 1 150.351 104.102 27.922 15 17 3 44 1 149.551 55.620 315.280 16 17 3 13 1 149.551 55.620 315.280 17 17 3 13 1 149.551 55.620 315.280 18 17 3 13 1 149.551 55.620 315.280 19 17 3 13 1 164.080 41.609 152.840 20 17 3 32 1 93.502 48.689 158.386 1 18 3 22 1 93.502 48.689 158.386 2 18 3 22 1 93.502 48.689 158.386 3 18 3 22 1 93.502 48.689 158.386 4 18 3 22 1 93.502 48.689 158.386 5 18 3 22 1 113.490 82.977 263.375 6 18 3 21 1 113.490 82.977 263.375 7 18 3 21 1 113.490 82.977 263.375 8 18 3 21 1 113.490 82.977 263.375 9 18 3 21 1 113.490 82.977 263.375 10 18 3 21 1 113.490 82.977 263.375 11 18 3 21 1 113.490 82.977 263.375 12 18 3 21 1 150.351 104.102 27.922 13 18 3 44 1 150.351 104.102 27.922 14 18 3 44 1 149.551 55.620 315.280 15 18 3 13 1 149.551 55.620 315.280 16 18 3 13 1 149.551 55.620 315.280 17 18 3 13 1 149.551 55.620 315.280 18 18 3 13 1 149.551 55.620 315.280 19 18 3 13 1 164.080 41.609 152.840 20 18 3 32 1 93.502 48.689 158.386 1 19 3 22 1 93.502 48.689 158.386 2 19 3 22 1 93.502 48.689 158.386 3 19 3 22 1 93.502 48.689 158.386 4 19 3 22 1 93.502 48.689 158.386 5 19 3 22 1 113.490 82.977 263.375 6 19 3 21 1 113.490 82.977 263.375 7 19 3 21 1 113.490 82.977 263.375 8 19 3 21 1 113.490 82.977 263.375 9 19 3 21 1 113.490 82.977 263.375 10 19 3 21 1 272.480 20.113 38.841 11 19 3 47 1 272.480 20.113 38.841 12 19 3 47 1 272.480 20.113 38.841 13 19 3 47 1 149.551 55.620 315.280 14 19 3 13 1 149.551 55.620 315.280 15 19 3 13 1 149.551 55.620 315.280 16 19 3 13 1 149.551 55.620 315.280 17 19 3 13 1 149.551 55.620 315.280 18 19 3 13 1 164.080 41.609 152.840 19 19 3 32 1 164.080 41.609 152.840 20 19 3 32 1 93.502 48.689 158.386 1 20 3 22 1 93.502 48.689 158.386 2 20 3 22 1 93.502 48.689 158.386 3 20 3 22 1 93.502 48.689 158.386 4 20 3 22 1 93.502 48.689 158.386 5 20 3 22 1 113.490 82.977 263.375 6 20 3 21 1 113.490 82.977 263.375 7 20 3 21 1 113.490 82.977 263.375 8 20 3 21 1 272.480 20.113 38.841 9 20 3 47 1 272.480 20.113 38.841 10 20 3 47 1 272.480 20.113 38.841 11 20 3 47 1 272.480 20.113 38.841 12 20 3 47 1 272.480 20.113 38.841 13 20 3 47 1 272.480 20.113 38.841 14 20 3 47 1 149.551 55.620 315.280 15 20 3 13 1 149.551 55.620 315.280 16 20 3 13 1 149.551 55.620 315.280 17 20 3 13 1 149.551 55.620 315.280 18 20 3 13 1 164.080 41.609 152.840 19 20 3 32 1 164.080 41.609 152.840 20 20 3 32 1 95.231 79.465 123.093 1 1 4 15 1 95.231 79.465 123.093 2 1 4 15 1 95.231 79.465 123.093 3 1 4 15 1 95.231 79.465 123.093 4 1 4 15 1 95.231 79.465 123.093 5 1 4 15 1 230.521 122.674 124.088 6 1 4 1 1 230.521 122.674 124.088 7 1 4 1 1 230.521 122.674 124.088 8 1 4 1 1 274.734 98.596 118.313 9 1 4 30 1 274.734 98.596 118.313 10 1 4 30 1 274.734 98.596 118.313 11 1 4 30 1 274.734 98.596 118.313 12 1 4 30 1 274.734 98.596 118.313 13 1 4 30 1 274.734 98.596 118.313 14 1 4 30 1 356.516 25.903 288.489 15 1 4 33 1 356.516 25.903 288.489 16 1 4 33 1 356.516 25.903 288.489 17 1 4 33 1 356.516 25.903 288.489 18 1 4 33 1 356.516 25.903 288.489 19 1 4 33 1 356.516 25.903 288.489 20 1 4 33 1 95.231 79.465 123.093 1 2 4 15 1 95.231 79.465 123.093 2 2 4 15 1 95.231 79.465 123.093 3 2 4 15 1 95.231 79.465 123.093 4 2 4 15 1 230.521 122.674 124.088 5 2 4 1 1 230.521 122.674 124.088 6 2 4 1 1 230.521 122.674 124.088 7 2 4 1 1 230.521 122.674 124.088 8 2 4 1 1 230.521 122.674 124.088 9 2 4 1 1 274.734 98.596 118.313 10 2 4 30 1 274.734 98.596 118.313 11 2 4 30 1 274.734 98.596 118.313 12 2 4 30 1 274.734 98.596 118.313 13 2 4 30 1 274.734 98.596 118.313 14 2 4 30 1 356.516 25.903 288.489 15 2 4 33 1 356.516 25.903 288.489 16 2 4 33 1 356.516 25.903 288.489 17 2 4 33 1 356.516 25.903 288.489 18 2 4 33 1 356.516 25.903 288.489 19 2 4 33 1 356.516 25.903 288.489 20 2 4 33 1 95.231 79.465 123.093 1 3 4 15 1 95.231 79.465 123.093 2 3 4 15 1 95.231 79.465 123.093 3 3 4 15 1 95.231 79.465 123.093 4 3 4 15 1 230.521 122.674 124.088 5 3 4 1 1 230.521 122.674 124.088 6 3 4 1 1 230.521 122.674 124.088 7 3 4 1 1 230.521 122.674 124.088 8 3 4 1 1 230.521 122.674 124.088 9 3 4 1 1 274.734 98.596 118.313 10 3 4 30 1 274.734 98.596 118.313 11 3 4 30 1 274.734 98.596 118.313 12 3 4 30 1 274.734 98.596 118.313 13 3 4 30 1 274.734 98.596 118.313 14 3 4 30 1 356.516 25.903 288.489 15 3 4 33 1 356.516 25.903 288.489 16 3 4 33 1 356.516 25.903 288.489 17 3 4 33 1 356.516 25.903 288.489 18 3 4 33 1 356.516 25.903 288.489 19 3 4 33 1 356.516 25.903 288.489 20 3 4 33 1 95.231 79.465 123.093 1 4 4 15 1 95.231 79.465 123.093 2 4 4 15 1 95.231 79.465 123.093 3 4 4 15 1 95.231 79.465 123.093 4 4 4 15 1 230.521 122.674 124.088 5 4 4 1 1 230.521 122.674 124.088 6 4 4 1 1 230.521 122.674 124.088 7 4 4 1 1 230.521 122.674 124.088 8 4 4 1 1 230.521 122.674 124.088 9 4 4 1 1 50.532 146.407 318.633 10 4 4 11 1 50.532 146.407 318.633 11 4 4 11 1 50.532 146.407 318.633 12 4 4 11 1 274.734 98.596 118.313 13 4 4 30 1 274.734 98.596 118.313 14 4 4 30 1 186.737 147.482 229.397 15 4 4 7 1 356.516 25.903 288.489 16 4 4 33 1 356.516 25.903 288.489 17 4 4 33 1 356.516 25.903 288.489 18 4 4 33 1 356.516 25.903 288.489 19 4 4 33 1 356.516 25.903 288.489 20 4 4 33 1 95.231 79.465 123.093 1 5 4 15 1 95.231 79.465 123.093 2 5 4 15 1 95.231 79.465 123.093 3 5 4 15 1 230.521 122.674 124.088 4 5 4 1 1 230.521 122.674 124.088 5 5 4 1 1 230.521 122.674 124.088 6 5 4 1 1 230.521 122.674 124.088 7 5 4 1 1 230.521 122.674 124.088 8 5 4 1 1 50.532 146.407 318.633 9 5 4 11 1 50.532 146.407 318.633 10 5 4 11 1 50.532 146.407 318.633 11 5 4 11 1 50.532 146.407 318.633 12 5 4 11 1 50.532 146.407 318.633 13 5 4 11 1 186.737 147.482 229.397 14 5 4 7 1 186.737 147.482 229.397 15 5 4 7 1 186.737 147.482 229.397 16 5 4 7 1 186.737 147.482 229.397 17 5 4 7 1 186.737 147.482 229.397 18 5 4 7 1 186.737 147.482 229.397 19 5 4 7 1 356.516 25.903 288.489 20 5 4 33 1 53.412 94.863 139.682 1 6 4 45 1 53.412 94.863 139.682 2 6 4 45 1 53.412 94.863 139.682 3 6 4 45 1 53.412 94.863 139.682 4 6 4 45 1 230.521 122.674 124.088 5 6 4 1 1 230.521 122.674 124.088 6 6 4 1 1 230.521 122.674 124.088 7 6 4 1 1 230.521 122.674 124.088 8 6 4 1 1 50.532 146.407 318.633 9 6 4 11 1 50.532 146.407 318.633 10 6 4 11 1 50.532 146.407 318.633 11 6 4 11 1 50.532 146.407 318.633 12 6 4 11 1 50.532 146.407 318.633 13 6 4 11 1 186.737 147.482 229.397 14 6 4 7 1 186.737 147.482 229.397 15 6 4 7 1 186.737 147.482 229.397 16 6 4 7 1 186.737 147.482 229.397 17 6 4 7 1 186.737 147.482 229.397 18 6 4 7 1 186.737 147.482 229.397 19 6 4 7 1 186.737 147.482 229.397 20 6 4 7 1 53.412 94.863 139.682 1 7 4 45 1 53.412 94.863 139.682 2 7 4 45 1 53.412 94.863 139.682 3 7 4 45 1 53.412 94.863 139.682 4 7 4 45 1 53.412 94.863 139.682 5 7 4 45 1 230.521 122.674 124.088 6 7 4 1 1 180.174 122.825 230.419 7 7 4 17 1 180.174 122.825 230.419 8 7 4 17 1 50.532 146.407 318.633 9 7 4 11 1 50.532 146.407 318.633 10 7 4 11 1 50.532 146.407 318.633 11 7 4 11 1 50.532 146.407 318.633 12 7 4 11 1 50.532 146.407 318.633 13 7 4 11 1 186.737 147.482 229.397 14 7 4 7 1 186.737 147.482 229.397 15 7 4 7 1 186.737 147.482 229.397 16 7 4 7 1 186.737 147.482 229.397 17 7 4 7 1 186.737 147.482 229.397 18 7 4 7 1 186.737 147.482 229.397 19 7 4 7 1 186.737 147.482 229.397 20 7 4 7 1 53.412 94.863 139.682 1 8 4 45 1 53.412 94.863 139.682 2 8 4 45 1 53.412 94.863 139.682 3 8 4 45 1 53.412 94.863 139.682 4 8 4 45 1 53.412 94.863 139.682 5 8 4 45 1 180.174 122.825 230.419 6 8 4 17 1 180.174 122.825 230.419 7 8 4 17 1 180.174 122.825 230.419 8 8 4 17 1 180.174 122.825 230.419 9 8 4 17 1 180.174 122.825 230.419 10 8 4 17 1 50.532 146.407 318.633 11 8 4 11 1 50.532 146.407 318.633 12 8 4 11 1 293.626 66.407 243.713 13 8 4 2 1 293.626 66.407 243.713 14 8 4 2 1 293.626 66.407 243.713 15 8 4 2 1 186.737 147.482 229.397 16 8 4 7 1 186.737 147.482 229.397 17 8 4 7 1 186.737 147.482 229.397 18 8 4 7 1 57.194 54.952 145.449 19 8 4 49 1 57.194 54.952 145.449 20 8 4 49 1 53.412 94.863 139.682 1 9 4 45 1 53.412 94.863 139.682 2 9 4 45 1 53.412 94.863 139.682 3 9 4 45 1 53.412 94.863 139.682 4 9 4 45 1 53.412 94.863 139.682 5 9 4 45 1 180.174 122.825 230.419 6 9 4 17 1 180.174 122.825 230.419 7 9 4 17 1 180.174 122.825 230.419 8 9 4 17 1 180.174 122.825 230.419 9 9 4 17 1 180.174 122.825 230.419 10 9 4 17 1 50.532 146.407 318.633 11 9 4 11 1 293.626 66.407 243.713 12 9 4 2 1 293.626 66.407 243.713 13 9 4 2 1 293.626 66.407 243.713 14 9 4 2 1 293.626 66.407 243.713 15 9 4 2 1 293.626 66.407 243.713 16 9 4 2 1 186.737 147.482 229.397 17 9 4 7 1 57.194 54.952 145.449 18 9 4 49 1 57.194 54.952 145.449 19 9 4 49 1 57.194 54.952 145.449 20 9 4 49 1 53.412 94.863 139.682 1 10 4 45 1 53.412 94.863 139.682 2 10 4 45 1 53.412 94.863 139.682 3 10 4 45 1 53.412 94.863 139.682 4 10 4 45 1 53.412 94.863 139.682 5 10 4 45 1 180.174 122.825 230.419 6 10 4 17 1 180.174 122.825 230.419 7 10 4 17 1 180.174 122.825 230.419 8 10 4 17 1 180.174 122.825 230.419 9 10 4 17 1 180.174 122.825 230.419 10 10 4 17 1 293.626 66.407 243.713 11 10 4 2 1 293.626 66.407 243.713 12 10 4 2 1 293.626 66.407 243.713 13 10 4 2 1 293.626 66.407 243.713 14 10 4 2 1 293.626 66.407 243.713 15 10 4 2 1 293.626 66.407 243.713 16 10 4 2 1 57.194 54.952 145.449 17 10 4 49 1 57.194 54.952 145.449 18 10 4 49 1 57.194 54.952 145.449 19 10 4 49 1 57.194 54.952 145.449 20 10 4 49 1 89.425 89.017 160.972 1 11 4 40 1 89.425 89.017 160.972 2 11 4 40 1 89.425 89.017 160.972 3 11 4 40 1 53.412 94.863 139.682 4 11 4 45 1 53.412 94.863 139.682 5 11 4 45 1 86.623 107.539 130.891 6 11 4 39 1 86.623 107.539 130.891 7 11 4 39 1 86.623 107.539 130.891 8 11 4 39 1 86.623 107.539 130.891 9 11 4 39 1 86.623 107.539 130.891 10 11 4 39 1 293.626 66.407 243.713 11 11 4 2 1 293.626 66.407 243.713 12 11 4 2 1 293.626 66.407 243.713 13 11 4 2 1 293.626 66.407 243.713 14 11 4 2 1 293.626 66.407 243.713 15 11 4 2 1 293.626 66.407 243.713 16 11 4 2 1 57.194 54.952 145.449 17 11 4 49 1 57.194 54.952 145.449 18 11 4 49 1 57.194 54.952 145.449 19 11 4 49 1 57.194 54.952 145.449 20 11 4 49 1 89.425 89.017 160.972 1 12 4 40 1 89.425 89.017 160.972 2 12 4 40 1 89.425 89.017 160.972 3 12 4 40 1 89.425 89.017 160.972 4 12 4 40 1 89.425 89.017 160.972 5 12 4 40 1 86.623 107.539 130.891 6 12 4 39 1 86.623 107.539 130.891 7 12 4 39 1 86.623 107.539 130.891 8 12 4 39 1 86.623 107.539 130.891 9 12 4 39 1 86.623 107.539 130.891 10 12 4 39 1 86.623 107.539 130.891 11 12 4 39 1 293.626 66.407 243.713 12 12 4 2 1 293.626 66.407 243.713 13 12 4 2 1 293.626 66.407 243.713 14 12 4 2 1 293.626 66.407 243.713 15 12 4 2 1 150.351 104.102 27.922 16 12 4 44 1 57.194 54.952 145.449 17 12 4 49 1 57.194 54.952 145.449 18 12 4 49 1 57.194 54.952 145.449 19 12 4 49 1 57.194 54.952 145.449 20 12 4 49 1 89.425 89.017 160.972 1 13 4 40 1 89.425 89.017 160.972 2 13 4 40 1 89.425 89.017 160.972 3 13 4 40 1 89.425 89.017 160.972 4 13 4 40 1 89.425 89.017 160.972 5 13 4 40 1 86.623 107.539 130.891 6 13 4 39 1 86.623 107.539 130.891 7 13 4 39 1 86.623 107.539 130.891 8 13 4 39 1 86.623 107.539 130.891 9 13 4 39 1 86.623 107.539 130.891 10 13 4 39 1 86.623 107.539 130.891 11 13 4 39 1 150.351 104.102 27.922 12 13 4 44 1 150.351 104.102 27.922 13 13 4 44 1 150.351 104.102 27.922 14 13 4 44 1 150.351 104.102 27.922 15 13 4 44 1 150.351 104.102 27.922 16 13 4 44 1 57.194 54.952 145.449 17 13 4 49 1 57.194 54.952 145.449 18 13 4 49 1 57.194 54.952 145.449 19 13 4 49 1 57.194 54.952 145.449 20 13 4 49 1 89.425 89.017 160.972 1 14 4 40 1 89.425 89.017 160.972 2 14 4 40 1 89.425 89.017 160.972 3 14 4 40 1 89.425 89.017 160.972 4 14 4 40 1 89.425 89.017 160.972 5 14 4 40 1 86.623 107.539 130.891 6 14 4 39 1 86.623 107.539 130.891 7 14 4 39 1 86.623 107.539 130.891 8 14 4 39 1 86.623 107.539 130.891 9 14 4 39 1 86.623 107.539 130.891 10 14 4 39 1 86.623 107.539 130.891 11 14 4 39 1 150.351 104.102 27.922 12 14 4 44 1 150.351 104.102 27.922 13 14 4 44 1 150.351 104.102 27.922 14 14 4 44 1 150.351 104.102 27.922 15 14 4 44 1 150.351 104.102 27.922 16 14 4 44 1 150.351 104.102 27.922 17 14 4 44 1 57.194 54.952 145.449 18 14 4 49 1 57.194 54.952 145.449 19 14 4 49 1 57.194 54.952 145.449 20 14 4 49 1 89.425 89.017 160.972 1 15 4 40 1 89.425 89.017 160.972 2 15 4 40 1 89.425 89.017 160.972 3 15 4 40 1 89.425 89.017 160.972 4 15 4 40 1 89.425 89.017 160.972 5 15 4 40 1 89.425 89.017 160.972 6 15 4 40 1 113.490 82.977 263.375 7 15 4 21 1 113.490 82.977 263.375 8 15 4 21 1 113.490 82.977 263.375 9 15 4 21 1 113.490 82.977 263.375 10 15 4 21 1 150.351 104.102 27.922 11 15 4 44 1 150.351 104.102 27.922 12 15 4 44 1 150.351 104.102 27.922 13 15 4 44 1 150.351 104.102 27.922 14 15 4 44 1 150.351 104.102 27.922 15 15 4 44 1 150.351 104.102 27.922 16 15 4 44 1 150.351 104.102 27.922 17 15 4 44 1 57.194 54.952 145.449 18 15 4 49 1 57.194 54.952 145.449 19 15 4 49 1 57.194 54.952 145.449 20 15 4 49 1 89.425 89.017 160.972 1 16 4 40 1 89.425 89.017 160.972 2 16 4 40 1 89.425 89.017 160.972 3 16 4 40 1 89.425 89.017 160.972 4 16 4 40 1 89.425 89.017 160.972 5 16 4 40 1 113.490 82.977 263.375 6 16 4 21 1 113.490 82.977 263.375 7 16 4 21 1 113.490 82.977 263.375 8 16 4 21 1 113.490 82.977 263.375 9 16 4 21 1 113.490 82.977 263.375 10 16 4 21 1 113.490 82.977 263.375 11 16 4 21 1 150.351 104.102 27.922 12 16 4 44 1 150.351 104.102 27.922 13 16 4 44 1 150.351 104.102 27.922 14 16 4 44 1 150.351 104.102 27.922 15 16 4 44 1 150.351 104.102 27.922 16 16 4 44 1 149.551 55.620 315.280 17 16 4 13 1 149.551 55.620 315.280 18 16 4 13 1 149.551 55.620 315.280 19 16 4 13 1 57.194 54.952 145.449 20 16 4 49 1 89.425 89.017 160.972 1 17 4 40 1 89.425 89.017 160.972 2 17 4 40 1 89.425 89.017 160.972 3 17 4 40 1 89.425 89.017 160.972 4 17 4 40 1 113.490 82.977 263.375 5 17 4 21 1 113.490 82.977 263.375 6 17 4 21 1 113.490 82.977 263.375 7 17 4 21 1 113.490 82.977 263.375 8 17 4 21 1 113.490 82.977 263.375 9 17 4 21 1 113.490 82.977 263.375 10 17 4 21 1 113.490 82.977 263.375 11 17 4 21 1 113.490 82.977 263.375 12 17 4 21 1 150.351 104.102 27.922 13 17 4 44 1 150.351 104.102 27.922 14 17 4 44 1 150.351 104.102 27.922 15 17 4 44 1 149.551 55.620 315.280 16 17 4 13 1 149.551 55.620 315.280 17 17 4 13 1 149.551 55.620 315.280 18 17 4 13 1 164.080 41.609 152.840 19 17 4 32 1 164.080 41.609 152.840 20 17 4 32 1 93.502 48.689 158.386 1 18 4 22 1 93.502 48.689 158.386 2 18 4 22 1 93.502 48.689 158.386 3 18 4 22 1 93.502 48.689 158.386 4 18 4 22 1 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274.734 98.596 118.313 11 2 5 30 1 274.734 98.596 118.313 12 2 5 30 1 274.734 98.596 118.313 13 2 5 30 1 274.734 98.596 118.313 14 2 5 30 1 356.516 25.903 288.489 15 2 5 33 1 356.516 25.903 288.489 16 2 5 33 1 356.516 25.903 288.489 17 2 5 33 1 356.516 25.903 288.489 18 2 5 33 1 356.516 25.903 288.489 19 2 5 33 1 356.516 25.903 288.489 20 2 5 33 1 95.231 79.465 123.093 1 3 5 15 1 95.231 79.465 123.093 2 3 5 15 1 95.231 79.465 123.093 3 3 5 15 1 95.231 79.465 123.093 4 3 5 15 1 230.521 122.674 124.088 5 3 5 1 1 230.521 122.674 124.088 6 3 5 1 1 230.521 122.674 124.088 7 3 5 1 1 230.521 122.674 124.088 8 3 5 1 1 230.521 122.674 124.088 9 3 5 1 1 274.734 98.596 118.313 10 3 5 30 1 274.734 98.596 118.313 11 3 5 30 1 274.734 98.596 118.313 12 3 5 30 1 274.734 98.596 118.313 13 3 5 30 1 274.734 98.596 118.313 14 3 5 30 1 356.516 25.903 288.489 15 3 5 33 1 356.516 25.903 288.489 16 3 5 33 1 356.516 25.903 288.489 17 3 5 33 1 356.516 25.903 288.489 18 3 5 33 1 356.516 25.903 288.489 19 3 5 33 1 356.516 25.903 288.489 20 3 5 33 1 95.231 79.465 123.093 1 4 5 15 1 95.231 79.465 123.093 2 4 5 15 1 95.231 79.465 123.093 3 4 5 15 1 95.231 79.465 123.093 4 4 5 15 1 230.521 122.674 124.088 5 4 5 1 1 230.521 122.674 124.088 6 4 5 1 1 230.521 122.674 124.088 7 4 5 1 1 230.521 122.674 124.088 8 4 5 1 1 50.532 146.407 318.633 9 4 5 11 1 50.532 146.407 318.633 10 4 5 11 1 50.532 146.407 318.633 11 4 5 11 1 50.532 146.407 318.633 12 4 5 11 1 274.734 98.596 118.313 13 4 5 30 1 274.734 98.596 118.313 14 4 5 30 1 356.516 25.903 288.489 15 4 5 33 1 356.516 25.903 288.489 16 4 5 33 1 356.516 25.903 288.489 17 4 5 33 1 356.516 25.903 288.489 18 4 5 33 1 356.516 25.903 288.489 19 4 5 33 1 356.516 25.903 288.489 20 4 5 33 1 95.231 79.465 123.093 1 5 5 15 1 95.231 79.465 123.093 2 5 5 15 1 95.231 79.465 123.093 3 5 5 15 1 230.521 122.674 124.088 4 5 5 1 1 230.521 122.674 124.088 5 5 5 1 1 230.521 122.674 124.088 6 5 5 1 1 230.521 122.674 124.088 7 5 5 1 1 230.521 122.674 124.088 8 5 5 1 1 50.532 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106.683 84.268 15 19 5 27 1 118.375 106.683 84.268 16 19 5 27 1 118.375 106.683 84.268 17 19 5 27 1 164.080 41.609 152.840 18 19 5 32 1 164.080 41.609 152.840 19 19 5 32 1 164.080 41.609 152.840 20 19 5 32 1 285.464 98.224 119.291 1 20 5 42 1 285.464 98.224 119.291 2 20 5 42 1 285.464 98.224 119.291 3 20 5 42 1 285.464 98.224 119.291 4 20 5 42 1 285.464 98.224 119.291 5 20 5 42 1 113.490 82.977 263.375 6 20 5 21 1 113.490 82.977 263.375 7 20 5 21 1 113.490 82.977 263.375 8 20 5 21 1 113.490 82.977 263.375 9 20 5 21 1 113.490 82.977 263.375 10 20 5 21 1 272.480 20.113 38.841 11 20 5 47 1 272.480 20.113 38.841 12 20 5 47 1 118.375 106.683 84.268 13 20 5 27 1 118.375 106.683 84.268 14 20 5 27 1 118.375 106.683 84.268 15 20 5 27 1 118.375 106.683 84.268 16 20 5 27 1 118.375 106.683 84.268 17 20 5 27 1 164.080 41.609 152.840 18 20 5 32 1 164.080 41.609 152.840 19 20 5 32 1 164.080 41.609 152.840 20 20 5 32 1 95.231 79.465 123.093 1 1 6 15 1 95.231 79.465 123.093 2 1 6 15 1 95.231 79.465 123.093 3 1 6 15 1 95.231 79.465 123.093 4 1 6 15 1 58.725 54.417 306.240 5 1 6 14 1 58.725 54.417 306.240 6 1 6 14 1 58.725 54.417 306.240 7 1 6 14 1 58.725 54.417 306.240 8 1 6 14 1 58.725 54.417 306.240 9 1 6 14 1 58.725 54.417 306.240 10 1 6 14 1 274.734 98.596 118.313 11 1 6 30 1 274.734 98.596 118.313 12 1 6 30 1 274.734 98.596 118.313 13 1 6 30 1 356.516 25.903 288.489 14 1 6 33 1 356.516 25.903 288.489 15 1 6 33 1 356.516 25.903 288.489 16 1 6 33 1 356.516 25.903 288.489 17 1 6 33 1 356.516 25.903 288.489 18 1 6 33 1 356.516 25.903 288.489 19 1 6 33 1 356.516 25.903 288.489 20 1 6 33 1 95.231 79.465 123.093 1 2 6 15 1 95.231 79.465 123.093 2 2 6 15 1 95.231 79.465 123.093 3 2 6 15 1 95.231 79.465 123.093 4 2 6 15 1 58.725 54.417 306.240 5 2 6 14 1 58.725 54.417 306.240 6 2 6 14 1 58.725 54.417 306.240 7 2 6 14 1 58.725 54.417 306.240 8 2 6 14 1 58.725 54.417 306.240 9 2 6 14 1 58.725 54.417 306.240 10 2 6 14 1 58.725 54.417 306.240 11 2 6 14 1 274.734 98.596 118.313 12 2 6 30 1 274.734 98.596 118.313 13 2 6 30 1 356.516 25.903 288.489 14 2 6 33 1 356.516 25.903 288.489 15 2 6 33 1 356.516 25.903 288.489 16 2 6 33 1 356.516 25.903 288.489 17 2 6 33 1 356.516 25.903 288.489 18 2 6 33 1 356.516 25.903 288.489 19 2 6 33 1 356.516 25.903 288.489 20 2 6 33 1 95.231 79.465 123.093 1 3 6 15 1 95.231 79.465 123.093 2 3 6 15 1 95.231 79.465 123.093 3 3 6 15 1 95.231 79.465 123.093 4 3 6 15 1 58.725 54.417 306.240 5 3 6 14 1 58.725 54.417 306.240 6 3 6 14 1 58.725 54.417 306.240 7 3 6 14 1 58.725 54.417 306.240 8 3 6 14 1 58.725 54.417 306.240 9 3 6 14 1 58.725 54.417 306.240 10 3 6 14 1 58.725 54.417 306.240 11 3 6 14 1 274.734 98.596 118.313 12 3 6 30 1 274.734 98.596 118.313 13 3 6 30 1 356.516 25.903 288.489 14 3 6 33 1 356.516 25.903 288.489 15 3 6 33 1 356.516 25.903 288.489 16 3 6 33 1 356.516 25.903 288.489 17 3 6 33 1 356.516 25.903 288.489 18 3 6 33 1 356.516 25.903 288.489 19 3 6 33 1 356.516 25.903 288.489 20 3 6 33 1 270.234 111.919 286.574 1 4 6 3 1 270.234 111.919 286.574 2 4 6 3 1 270.234 111.919 286.574 3 4 6 3 1 270.234 111.919 286.574 4 4 6 3 1 230.521 122.674 124.088 5 4 6 1 1 230.521 122.674 124.088 6 4 6 1 1 230.521 122.674 124.088 7 4 6 1 1 58.725 54.417 306.240 8 4 6 14 1 58.725 54.417 306.240 9 4 6 14 1 50.532 146.407 318.633 10 4 6 11 1 50.532 146.407 318.633 11 4 6 11 1 50.532 146.407 318.633 12 4 6 11 1 274.734 98.596 118.313 13 4 6 30 1 356.516 25.903 288.489 14 4 6 33 1 356.516 25.903 288.489 15 4 6 33 1 356.516 25.903 288.489 16 4 6 33 1 356.516 25.903 288.489 17 4 6 33 1 356.516 25.903 288.489 18 4 6 33 1 356.516 25.903 288.489 19 4 6 33 1 356.516 25.903 288.489 20 4 6 33 1 270.234 111.919 286.574 1 5 6 3 1 270.234 111.919 286.574 2 5 6 3 1 270.234 111.919 286.574 3 5 6 3 1 270.234 111.919 286.574 4 5 6 3 1 230.521 122.674 124.088 5 5 6 1 1 230.521 122.674 124.088 6 5 6 1 1 230.521 122.674 124.088 7 5 6 1 1 230.521 122.674 124.088 8 5 6 1 1 50.532 146.407 318.633 9 5 6 11 1 50.532 146.407 318.633 10 5 6 11 1 50.532 146.407 318.633 11 5 6 11 1 50.532 146.407 318.633 12 5 6 11 1 50.532 146.407 318.633 13 5 6 11 1 356.516 25.903 288.489 14 5 6 33 1 356.516 25.903 288.489 15 5 6 33 1 356.516 25.903 288.489 16 5 6 33 1 356.516 25.903 288.489 17 5 6 33 1 356.516 25.903 288.489 18 5 6 33 1 356.516 25.903 288.489 19 5 6 33 1 356.516 25.903 288.489 20 5 6 33 1 270.234 111.919 286.574 1 6 6 3 1 270.234 111.919 286.574 2 6 6 3 1 270.234 111.919 286.574 3 6 6 3 1 270.234 111.919 286.574 4 6 6 3 1 270.234 111.919 286.574 5 6 6 3 1 230.521 122.674 124.088 6 6 6 1 1 230.521 122.674 124.088 7 6 6 1 1 230.521 122.674 124.088 8 6 6 1 1 50.532 146.407 318.633 9 6 6 11 1 50.532 146.407 318.633 10 6 6 11 1 50.532 146.407 318.633 11 6 6 11 1 50.532 146.407 318.633 12 6 6 11 1 50.532 146.407 318.633 13 6 6 11 1 230.679 68.083 62.237 14 6 6 26 1 356.516 25.903 288.489 15 6 6 33 1 356.516 25.903 288.489 16 6 6 33 1 356.516 25.903 288.489 17 6 6 33 1 356.516 25.903 288.489 18 6 6 33 1 356.516 25.903 288.489 19 6 6 33 1 356.516 25.903 288.489 20 6 6 33 1 270.234 111.919 286.574 1 7 6 3 1 270.234 111.919 286.574 2 7 6 3 1 270.234 111.919 286.574 3 7 6 3 1 270.234 111.919 286.574 4 7 6 3 1 270.234 111.919 286.574 5 7 6 3 1 270.234 111.919 286.574 6 7 6 3 1 180.174 122.825 230.419 7 7 6 17 1 180.174 122.825 230.419 8 7 6 17 1 50.532 146.407 318.633 9 7 6 11 1 50.532 146.407 318.633 10 7 6 11 1 50.532 146.407 318.633 11 7 6 11 1 50.532 146.407 318.633 12 7 6 11 1 230.679 68.083 62.237 13 7 6 26 1 230.679 68.083 62.237 14 7 6 26 1 230.679 68.083 62.237 15 7 6 26 1 230.679 68.083 62.237 16 7 6 26 1 186.737 147.482 229.397 17 7 6 7 1 186.737 147.482 229.397 18 7 6 7 1 356.516 25.903 288.489 19 7 6 33 1 356.516 25.903 288.489 20 7 6 33 1 270.234 111.919 286.574 1 8 6 3 1 270.234 111.919 286.574 2 8 6 3 1 270.234 111.919 286.574 3 8 6 3 1 270.234 111.919 286.574 4 8 6 3 1 270.234 111.919 286.574 5 8 6 3 1 270.234 111.919 286.574 6 8 6 3 1 180.174 122.825 230.419 7 8 6 17 1 180.174 122.825 230.419 8 8 6 17 1 180.174 122.825 230.419 9 8 6 17 1 230.679 68.083 62.237 10 8 6 26 1 230.679 68.083 62.237 11 8 6 26 1 230.679 68.083 62.237 12 8 6 26 1 293.626 66.407 243.713 13 8 6 2 1 293.626 66.407 243.713 14 8 6 2 1 293.626 66.407 243.713 15 8 6 2 1 230.679 68.083 62.237 16 8 6 26 1 230.679 68.083 62.237 17 8 6 26 1 57.194 54.952 145.449 18 8 6 49 1 57.194 54.952 145.449 19 8 6 49 1 57.194 54.952 145.449 20 8 6 49 1 270.234 111.919 286.574 1 9 6 3 1 270.234 111.919 286.574 2 9 6 3 1 270.234 111.919 286.574 3 9 6 3 1 270.234 111.919 286.574 4 9 6 3 1 270.234 111.919 286.574 5 9 6 3 1 270.234 111.919 286.574 6 9 6 3 1 180.174 122.825 230.419 7 9 6 17 1 180.174 122.825 230.419 8 9 6 17 1 180.174 122.825 230.419 9 9 6 17 1 230.679 68.083 62.237 10 9 6 26 1 230.679 68.083 62.237 11 9 6 26 1 230.679 68.083 62.237 12 9 6 26 1 293.626 66.407 243.713 13 9 6 2 1 293.626 66.407 243.713 14 9 6 2 1 293.626 66.407 243.713 15 9 6 2 1 293.626 66.407 243.713 16 9 6 2 1 293.626 66.407 243.713 17 9 6 2 1 57.194 54.952 145.449 18 9 6 49 1 57.194 54.952 145.449 19 9 6 49 1 57.194 54.952 145.449 20 9 6 49 1 270.234 111.919 286.574 1 10 6 3 1 270.234 111.919 286.574 2 10 6 3 1 270.234 111.919 286.574 3 10 6 3 1 270.234 111.919 286.574 4 10 6 3 1 270.234 111.919 286.574 5 10 6 3 1 270.234 111.919 286.574 6 10 6 3 1 180.174 122.825 230.419 7 10 6 17 1 9.742 132.981 241.933 8 10 6 48 1 9.742 132.981 241.933 9 10 6 48 1 230.679 68.083 62.237 10 10 6 26 1 230.679 68.083 62.237 11 10 6 26 1 230.679 68.083 62.237 12 10 6 26 1 293.626 66.407 243.713 13 10 6 2 1 293.626 66.407 243.713 14 10 6 2 1 293.626 66.407 243.713 15 10 6 2 1 293.626 66.407 243.713 16 10 6 2 1 57.194 54.952 145.449 17 10 6 49 1 57.194 54.952 145.449 18 10 6 49 1 57.194 54.952 145.449 19 10 6 49 1 57.194 54.952 145.449 20 10 6 49 1 270.234 111.919 286.574 1 11 6 3 1 270.234 111.919 286.574 2 11 6 3 1 270.234 111.919 286.574 3 11 6 3 1 270.234 111.919 286.574 4 11 6 3 1 270.234 111.919 286.574 5 11 6 3 1 86.623 107.539 130.891 6 11 6 39 1 86.623 107.539 130.891 7 11 6 39 1 9.742 132.981 241.933 8 11 6 48 1 9.742 132.981 241.933 9 11 6 48 1 9.742 132.981 241.933 10 11 6 48 1 230.679 68.083 62.237 11 11 6 26 1 230.679 68.083 62.237 12 11 6 26 1 293.626 66.407 243.713 13 11 6 2 1 293.626 66.407 243.713 14 11 6 2 1 293.626 66.407 243.713 15 11 6 2 1 293.626 66.407 243.713 16 11 6 2 1 57.194 54.952 145.449 17 11 6 49 1 57.194 54.952 145.449 18 11 6 49 1 57.194 54.952 145.449 19 11 6 49 1 57.194 54.952 145.449 20 11 6 49 1 89.425 89.017 160.972 1 12 6 40 1 89.425 89.017 160.972 2 12 6 40 1 89.425 89.017 160.972 3 12 6 40 1 89.425 89.017 160.972 4 12 6 40 1 89.425 89.017 160.972 5 12 6 40 1 86.623 107.539 130.891 6 12 6 39 1 86.623 107.539 130.891 7 12 6 39 1 86.623 107.539 130.891 8 12 6 39 1 9.742 132.981 241.933 9 12 6 48 1 9.742 132.981 241.933 10 12 6 48 1 9.742 132.981 241.933 11 12 6 48 1 230.679 68.083 62.237 12 12 6 26 1 293.626 66.407 243.713 13 12 6 2 1 293.626 66.407 243.713 14 12 6 2 1 293.626 66.407 243.713 15 12 6 2 1 57.194 54.952 145.449 16 12 6 49 1 57.194 54.952 145.449 17 12 6 49 1 57.194 54.952 145.449 18 12 6 49 1 57.194 54.952 145.449 19 12 6 49 1 57.194 54.952 145.449 20 12 6 49 1 89.425 89.017 160.972 1 13 6 40 1 89.425 89.017 160.972 2 13 6 40 1 89.425 89.017 160.972 3 13 6 40 1 89.425 89.017 160.972 4 13 6 40 1 89.425 89.017 160.972 5 13 6 40 1 86.623 107.539 130.891 6 13 6 39 1 86.623 107.539 130.891 7 13 6 39 1 9.742 132.981 241.933 8 13 6 48 1 9.742 132.981 241.933 9 13 6 48 1 9.742 132.981 241.933 10 13 6 48 1 9.742 132.981 241.933 11 13 6 48 1 9.742 132.981 241.933 12 13 6 48 1 230.679 68.083 62.237 13 13 6 26 1 150.351 104.102 27.922 14 13 6 44 1 150.351 104.102 27.922 15 13 6 44 1 57.194 54.952 145.449 16 13 6 49 1 57.194 54.952 145.449 17 13 6 49 1 57.194 54.952 145.449 18 13 6 49 1 57.194 54.952 145.449 19 13 6 49 1 57.194 54.952 145.449 20 13 6 49 1 89.425 89.017 160.972 1 14 6 40 1 89.425 89.017 160.972 2 14 6 40 1 89.425 89.017 160.972 3 14 6 40 1 89.425 89.017 160.972 4 14 6 40 1 89.425 89.017 160.972 5 14 6 40 1 9.742 132.981 241.933 6 14 6 48 1 9.742 132.981 241.933 7 14 6 48 1 86.623 107.539 130.891 8 14 6 39 1 9.742 132.981 241.933 9 14 6 48 1 9.742 132.981 241.933 10 14 6 48 1 9.742 132.981 241.933 11 14 6 48 1 9.742 132.981 241.933 12 14 6 48 1 150.351 104.102 27.922 13 14 6 44 1 150.351 104.102 27.922 14 14 6 44 1 118.375 106.683 84.268 15 14 6 27 1 118.375 106.683 84.268 16 14 6 27 1 57.194 54.952 145.449 17 14 6 49 1 57.194 54.952 145.449 18 14 6 49 1 57.194 54.952 145.449 19 14 6 49 1 57.194 54.952 145.449 20 14 6 49 1 89.425 89.017 160.972 1 15 6 40 1 89.425 89.017 160.972 2 15 6 40 1 89.425 89.017 160.972 3 15 6 40 1 89.425 89.017 160.972 4 15 6 40 1 89.425 89.017 160.972 5 15 6 40 1 9.742 132.981 241.933 6 15 6 48 1 9.742 132.981 241.933 7 15 6 48 1 9.742 132.981 241.933 8 15 6 48 1 9.742 132.981 241.933 9 15 6 48 1 9.742 132.981 241.933 10 15 6 48 1 9.742 132.981 241.933 11 15 6 48 1 9.742 132.981 241.933 12 15 6 48 1 118.375 106.683 84.268 13 15 6 27 1 118.375 106.683 84.268 14 15 6 27 1 118.375 106.683 84.268 15 15 6 27 1 118.375 106.683 84.268 16 15 6 27 1 118.375 106.683 84.268 17 15 6 27 1 118.375 106.683 84.268 18 15 6 27 1 57.194 54.952 145.449 19 15 6 49 1 57.194 54.952 145.449 20 15 6 49 1 285.464 98.224 119.291 1 16 6 42 1 285.464 98.224 119.291 2 16 6 42 1 285.464 98.224 119.291 3 16 6 42 1 285.464 98.224 119.291 4 16 6 42 1 285.464 98.224 119.291 5 16 6 42 1 319.814 151.911 4.100 6 16 6 38 1 319.814 151.911 4.100 7 16 6 38 1 319.814 151.911 4.100 8 16 6 38 1 319.814 151.911 4.100 9 16 6 38 1 319.814 151.911 4.100 10 16 6 38 1 9.742 132.981 241.933 11 16 6 48 1 118.375 106.683 84.268 12 16 6 27 1 118.375 106.683 84.268 13 16 6 27 1 118.375 106.683 84.268 14 16 6 27 1 118.375 106.683 84.268 15 16 6 27 1 118.375 106.683 84.268 16 16 6 27 1 118.375 106.683 84.268 17 16 6 27 1 118.375 106.683 84.268 18 16 6 27 1 118.375 106.683 84.268 19 16 6 27 1 118.375 106.683 84.268 20 16 6 27 1 285.464 98.224 119.291 1 17 6 42 1 285.464 98.224 119.291 2 17 6 42 1 285.464 98.224 119.291 3 17 6 42 1 285.464 98.224 119.291 4 17 6 42 1 285.464 98.224 119.291 5 17 6 42 1 319.814 151.911 4.100 6 17 6 38 1 319.814 151.911 4.100 7 17 6 38 1 319.814 151.911 4.100 8 17 6 38 1 319.814 151.911 4.100 9 17 6 38 1 319.814 151.911 4.100 10 17 6 38 1 118.375 106.683 84.268 11 17 6 27 1 118.375 106.683 84.268 12 17 6 27 1 118.375 106.683 84.268 13 17 6 27 1 118.375 106.683 84.268 14 17 6 27 1 118.375 106.683 84.268 15 17 6 27 1 118.375 106.683 84.268 16 17 6 27 1 118.375 106.683 84.268 17 17 6 27 1 118.375 106.683 84.268 18 17 6 27 1 118.375 106.683 84.268 19 17 6 27 1 164.080 41.609 152.840 20 17 6 32 1 285.464 98.224 119.291 1 18 6 42 1 285.464 98.224 119.291 2 18 6 42 1 285.464 98.224 119.291 3 18 6 42 1 285.464 98.224 119.291 4 18 6 42 1 285.464 98.224 119.291 5 18 6 42 1 319.814 151.911 4.100 6 18 6 38 1 319.814 151.911 4.100 7 18 6 38 1 319.814 151.911 4.100 8 18 6 38 1 319.814 151.911 4.100 9 18 6 38 1 319.814 151.911 4.100 10 18 6 38 1 118.375 106.683 84.268 11 18 6 27 1 118.375 106.683 84.268 12 18 6 27 1 118.375 106.683 84.268 13 18 6 27 1 118.375 106.683 84.268 14 18 6 27 1 118.375 106.683 84.268 15 18 6 27 1 118.375 106.683 84.268 16 18 6 27 1 118.375 106.683 84.268 17 18 6 27 1 118.375 106.683 84.268 18 18 6 27 1 118.375 106.683 84.268 19 18 6 27 1 164.080 41.609 152.840 20 18 6 32 1 285.464 98.224 119.291 1 19 6 42 1 285.464 98.224 119.291 2 19 6 42 1 285.464 98.224 119.291 3 19 6 42 1 285.464 98.224 119.291 4 19 6 42 1 285.464 98.224 119.291 5 19 6 42 1 319.814 151.911 4.100 6 19 6 38 1 319.814 151.911 4.100 7 19 6 38 1 319.814 151.911 4.100 8 19 6 38 1 319.814 151.911 4.100 9 19 6 38 1 319.814 151.911 4.100 10 19 6 38 1 118.375 106.683 84.268 11 19 6 27 1 118.375 106.683 84.268 12 19 6 27 1 118.375 106.683 84.268 13 19 6 27 1 118.375 106.683 84.268 14 19 6 27 1 118.375 106.683 84.268 15 19 6 27 1 118.375 106.683 84.268 16 19 6 27 1 118.375 106.683 84.268 17 19 6 27 1 118.375 106.683 84.268 18 19 6 27 1 118.375 106.683 84.268 19 19 6 27 1 164.080 41.609 152.840 20 19 6 32 1 285.464 98.224 119.291 1 20 6 42 1 285.464 98.224 119.291 2 20 6 42 1 285.464 98.224 119.291 3 20 6 42 1 285.464 98.224 119.291 4 20 6 42 1 285.464 98.224 119.291 5 20 6 42 1 285.464 98.224 119.291 6 20 6 42 1 319.814 151.911 4.100 7 20 6 38 1 319.814 151.911 4.100 8 20 6 38 1 319.814 151.911 4.100 9 20 6 38 1 319.814 151.911 4.100 10 20 6 38 1 118.375 106.683 84.268 11 20 6 27 1 118.375 106.683 84.268 12 20 6 27 1 118.375 106.683 84.268 13 20 6 27 1 118.375 106.683 84.268 14 20 6 27 1 118.375 106.683 84.268 15 20 6 27 1 118.375 106.683 84.268 16 20 6 27 1 118.375 106.683 84.268 17 20 6 27 1 118.375 106.683 84.268 18 20 6 27 1 164.080 41.609 152.840 19 20 6 32 1 164.080 41.609 152.840 20 20 6 32 1 95.231 79.465 123.093 1 1 7 15 1 95.231 79.465 123.093 2 1 7 15 1 95.231 79.465 123.093 3 1 7 15 1 58.725 54.417 306.240 4 1 7 14 1 58.725 54.417 306.240 5 1 7 14 1 58.725 54.417 306.240 6 1 7 14 1 58.725 54.417 306.240 7 1 7 14 1 58.725 54.417 306.240 8 1 7 14 1 58.725 54.417 306.240 9 1 7 14 1 58.725 54.417 306.240 10 1 7 14 1 58.725 54.417 306.240 11 1 7 14 1 58.725 54.417 306.240 12 1 7 14 1 58.725 54.417 306.240 13 1 7 14 1 356.516 25.903 288.489 14 1 7 33 1 356.516 25.903 288.489 15 1 7 33 1 356.516 25.903 288.489 16 1 7 33 1 356.516 25.903 288.489 17 1 7 33 1 356.516 25.903 288.489 18 1 7 33 1 356.516 25.903 288.489 19 1 7 33 1 356.516 25.903 288.489 20 1 7 33 1 95.231 79.465 123.093 1 2 7 15 1 95.231 79.465 123.093 2 2 7 15 1 95.231 79.465 123.093 3 2 7 15 1 58.725 54.417 306.240 4 2 7 14 1 58.725 54.417 306.240 5 2 7 14 1 58.725 54.417 306.240 6 2 7 14 1 58.725 54.417 306.240 7 2 7 14 1 58.725 54.417 306.240 8 2 7 14 1 58.725 54.417 306.240 9 2 7 14 1 58.725 54.417 306.240 10 2 7 14 1 58.725 54.417 306.240 11 2 7 14 1 58.725 54.417 306.240 12 2 7 14 1 58.725 54.417 306.240 13 2 7 14 1 356.516 25.903 288.489 14 2 7 33 1 356.516 25.903 288.489 15 2 7 33 1 356.516 25.903 288.489 16 2 7 33 1 356.516 25.903 288.489 17 2 7 33 1 356.516 25.903 288.489 18 2 7 33 1 356.516 25.903 288.489 19 2 7 33 1 356.516 25.903 288.489 20 2 7 33 1 270.234 111.919 286.574 1 3 7 3 1 270.234 111.919 286.574 2 3 7 3 1 270.234 111.919 286.574 3 3 7 3 1 58.725 54.417 306.240 4 3 7 14 1 58.725 54.417 306.240 5 3 7 14 1 58.725 54.417 306.240 6 3 7 14 1 58.725 54.417 306.240 7 3 7 14 1 58.725 54.417 306.240 8 3 7 14 1 58.725 54.417 306.240 9 3 7 14 1 58.725 54.417 306.240 10 3 7 14 1 58.725 54.417 306.240 11 3 7 14 1 58.725 54.417 306.240 12 3 7 14 1 58.725 54.417 306.240 13 3 7 14 1 356.516 25.903 288.489 14 3 7 33 1 356.516 25.903 288.489 15 3 7 33 1 356.516 25.903 288.489 16 3 7 33 1 356.516 25.903 288.489 17 3 7 33 1 356.516 25.903 288.489 18 3 7 33 1 356.516 25.903 288.489 19 3 7 33 1 356.516 25.903 288.489 20 3 7 33 1 270.234 111.919 286.574 1 4 7 3 1 270.234 111.919 286.574 2 4 7 3 1 270.234 111.919 286.574 3 4 7 3 1 270.234 111.919 286.574 4 4 7 3 1 58.725 54.417 306.240 5 4 7 14 1 58.725 54.417 306.240 6 4 7 14 1 58.725 54.417 306.240 7 4 7 14 1 58.725 54.417 306.240 8 4 7 14 1 58.725 54.417 306.240 9 4 7 14 1 58.725 54.417 306.240 10 4 7 14 1 58.725 54.417 306.240 11 4 7 14 1 58.725 54.417 306.240 12 4 7 14 1 58.725 54.417 306.240 13 4 7 14 1 356.516 25.903 288.489 14 4 7 33 1 356.516 25.903 288.489 15 4 7 33 1 356.516 25.903 288.489 16 4 7 33 1 356.516 25.903 288.489 17 4 7 33 1 356.516 25.903 288.489 18 4 7 33 1 356.516 25.903 288.489 19 4 7 33 1 356.516 25.903 288.489 20 4 7 33 1 270.234 111.919 286.574 1 5 7 3 1 270.234 111.919 286.574 2 5 7 3 1 270.234 111.919 286.574 3 5 7 3 1 270.234 111.919 286.574 4 5 7 3 1 270.234 111.919 286.574 5 5 7 3 1 58.725 54.417 306.240 6 5 7 14 1 58.725 54.417 306.240 7 5 7 14 1 58.725 54.417 306.240 8 5 7 14 1 58.725 54.417 306.240 9 5 7 14 1 58.725 54.417 306.240 10 5 7 14 1 58.725 54.417 306.240 11 5 7 14 1 58.725 54.417 306.240 12 5 7 14 1 58.725 54.417 306.240 13 5 7 14 1 356.516 25.903 288.489 14 5 7 33 1 356.516 25.903 288.489 15 5 7 33 1 356.516 25.903 288.489 16 5 7 33 1 356.516 25.903 288.489 17 5 7 33 1 356.516 25.903 288.489 18 5 7 33 1 356.516 25.903 288.489 19 5 7 33 1 356.516 25.903 288.489 20 5 7 33 1 270.234 111.919 286.574 1 6 7 3 1 270.234 111.919 286.574 2 6 7 3 1 270.234 111.919 286.574 3 6 7 3 1 270.234 111.919 286.574 4 6 7 3 1 270.234 111.919 286.574 5 6 7 3 1 270.234 111.919 286.574 6 6 7 3 1 58.725 54.417 306.240 7 6 7 14 1 58.725 54.417 306.240 8 6 7 14 1 58.725 54.417 306.240 9 6 7 14 1 50.532 146.407 318.633 10 6 7 11 1 50.532 146.407 318.633 11 6 7 11 1 50.532 146.407 318.633 12 6 7 11 1 230.679 68.083 62.237 13 6 7 26 1 230.679 68.083 62.237 14 6 7 26 1 230.679 68.083 62.237 15 6 7 26 1 356.516 25.903 288.489 16 6 7 33 1 356.516 25.903 288.489 17 6 7 33 1 356.516 25.903 288.489 18 6 7 33 1 356.516 25.903 288.489 19 6 7 33 1 356.516 25.903 288.489 20 6 7 33 1 270.234 111.919 286.574 1 7 7 3 1 270.234 111.919 286.574 2 7 7 3 1 270.234 111.919 286.574 3 7 7 3 1 270.234 111.919 286.574 4 7 7 3 1 270.234 111.919 286.574 5 7 7 3 1 270.234 111.919 286.574 6 7 7 3 1 270.234 111.919 286.574 7 7 7 3 1 58.725 54.417 306.240 8 7 7 14 1 50.532 146.407 318.633 9 7 7 11 1 230.679 68.083 62.237 10 7 7 26 1 230.679 68.083 62.237 11 7 7 26 1 230.679 68.083 62.237 12 7 7 26 1 230.679 68.083 62.237 13 7 7 26 1 230.679 68.083 62.237 14 7 7 26 1 230.679 68.083 62.237 15 7 7 26 1 230.679 68.083 62.237 16 7 7 26 1 230.679 68.083 62.237 17 7 7 26 1 356.516 25.903 288.489 18 7 7 33 1 356.516 25.903 288.489 19 7 7 33 1 148.454 90.039 126.300 20 7 7 4 1 270.234 111.919 286.574 1 8 7 3 1 270.234 111.919 286.574 2 8 7 3 1 270.234 111.919 286.574 3 8 7 3 1 270.234 111.919 286.574 4 8 7 3 1 270.234 111.919 286.574 5 8 7 3 1 270.234 111.919 286.574 6 8 7 3 1 270.234 111.919 286.574 7 8 7 3 1 270.234 111.919 286.574 8 8 7 3 1 230.679 68.083 62.237 9 8 7 26 1 230.679 68.083 62.237 10 8 7 26 1 230.679 68.083 62.237 11 8 7 26 1 230.679 68.083 62.237 12 8 7 26 1 230.679 68.083 62.237 13 8 7 26 1 230.679 68.083 62.237 14 8 7 26 1 230.679 68.083 62.237 15 8 7 26 1 230.679 68.083 62.237 16 8 7 26 1 230.679 68.083 62.237 17 8 7 26 1 148.454 90.039 126.300 18 8 7 4 1 148.454 90.039 126.300 19 8 7 4 1 148.454 90.039 126.300 20 8 7 4 1 270.234 111.919 286.574 1 9 7 3 1 270.234 111.919 286.574 2 9 7 3 1 270.234 111.919 286.574 3 9 7 3 1 270.234 111.919 286.574 4 9 7 3 1 270.234 111.919 286.574 5 9 7 3 1 270.234 111.919 286.574 6 9 7 3 1 270.234 111.919 286.574 7 9 7 3 1 9.742 132.981 241.933 8 9 7 48 1 9.742 132.981 241.933 9 9 7 48 1 230.679 68.083 62.237 10 9 7 26 1 230.679 68.083 62.237 11 9 7 26 1 230.679 68.083 62.237 12 9 7 26 1 230.679 68.083 62.237 13 9 7 26 1 230.679 68.083 62.237 14 9 7 26 1 230.679 68.083 62.237 15 9 7 26 1 230.679 68.083 62.237 16 9 7 26 1 230.679 68.083 62.237 17 9 7 26 1 148.454 90.039 126.300 18 9 7 4 1 57.194 54.952 145.449 19 9 7 49 1 57.194 54.952 145.449 20 9 7 49 1 270.234 111.919 286.574 1 10 7 3 1 270.234 111.919 286.574 2 10 7 3 1 270.234 111.919 286.574 3 10 7 3 1 270.234 111.919 286.574 4 10 7 3 1 270.234 111.919 286.574 5 10 7 3 1 270.234 111.919 286.574 6 10 7 3 1 9.742 132.981 241.933 7 10 7 48 1 9.742 132.981 241.933 8 10 7 48 1 9.742 132.981 241.933 9 10 7 48 1 230.679 68.083 62.237 10 10 7 26 1 230.679 68.083 62.237 11 10 7 26 1 230.679 68.083 62.237 12 10 7 26 1 230.679 68.083 62.237 13 10 7 26 1 230.679 68.083 62.237 14 10 7 26 1 230.679 68.083 62.237 15 10 7 26 1 230.679 68.083 62.237 16 10 7 26 1 230.679 68.083 62.237 17 10 7 26 1 57.194 54.952 145.449 18 10 7 49 1 57.194 54.952 145.449 19 10 7 49 1 57.194 54.952 145.449 20 10 7 49 1 270.234 111.919 286.574 1 11 7 3 1 270.234 111.919 286.574 2 11 7 3 1 270.234 111.919 286.574 3 11 7 3 1 270.234 111.919 286.574 4 11 7 3 1 270.234 111.919 286.574 5 11 7 3 1 9.742 132.981 241.933 6 11 7 48 1 9.742 132.981 241.933 7 11 7 48 1 9.742 132.981 241.933 8 11 7 48 1 9.742 132.981 241.933 9 11 7 48 1 9.742 132.981 241.933 10 11 7 48 1 230.679 68.083 62.237 11 11 7 26 1 230.679 68.083 62.237 12 11 7 26 1 230.679 68.083 62.237 13 11 7 26 1 230.679 68.083 62.237 14 11 7 26 1 230.679 68.083 62.237 15 11 7 26 1 230.679 68.083 62.237 16 11 7 26 1 57.194 54.952 145.449 17 11 7 49 1 57.194 54.952 145.449 18 11 7 49 1 57.194 54.952 145.449 19 11 7 49 1 57.194 54.952 145.449 20 11 7 49 1 270.234 111.919 286.574 1 12 7 3 1 270.234 111.919 286.574 2 12 7 3 1 270.234 111.919 286.574 3 12 7 3 1 270.234 111.919 286.574 4 12 7 3 1 9.742 132.981 241.933 5 12 7 48 1 9.742 132.981 241.933 6 12 7 48 1 9.742 132.981 241.933 7 12 7 48 1 9.742 132.981 241.933 8 12 7 48 1 9.742 132.981 241.933 9 12 7 48 1 9.742 132.981 241.933 10 12 7 48 1 9.742 132.981 241.933 11 12 7 48 1 230.679 68.083 62.237 12 12 7 26 1 230.679 68.083 62.237 13 12 7 26 1 230.679 68.083 62.237 14 12 7 26 1 230.679 68.083 62.237 15 12 7 26 1 230.679 68.083 62.237 16 12 7 26 1 57.194 54.952 145.449 17 12 7 49 1 57.194 54.952 145.449 18 12 7 49 1 57.194 54.952 145.449 19 12 7 49 1 57.194 54.952 145.449 20 12 7 49 1 89.425 89.017 160.972 1 13 7 40 1 89.425 89.017 160.972 2 13 7 40 1 89.425 89.017 160.972 3 13 7 40 1 89.425 89.017 160.972 4 13 7 40 1 9.742 132.981 241.933 5 13 7 48 1 9.742 132.981 241.933 6 13 7 48 1 9.742 132.981 241.933 7 13 7 48 1 9.742 132.981 241.933 8 13 7 48 1 9.742 132.981 241.933 9 13 7 48 1 9.742 132.981 241.933 10 13 7 48 1 9.742 132.981 241.933 11 13 7 48 1 9.742 132.981 241.933 12 13 7 48 1 230.679 68.083 62.237 13 13 7 26 1 230.679 68.083 62.237 14 13 7 26 1 230.679 68.083 62.237 15 13 7 26 1 230.679 68.083 62.237 16 13 7 26 1 57.194 54.952 145.449 17 13 7 49 1 57.194 54.952 145.449 18 13 7 49 1 57.194 54.952 145.449 19 13 7 49 1 57.194 54.952 145.449 20 13 7 49 1 89.425 89.017 160.972 1 14 7 40 1 89.425 89.017 160.972 2 14 7 40 1 89.425 89.017 160.972 3 14 7 40 1 89.425 89.017 160.972 4 14 7 40 1 9.742 132.981 241.933 5 14 7 48 1 9.742 132.981 241.933 6 14 7 48 1 9.742 132.981 241.933 7 14 7 48 1 9.742 132.981 241.933 8 14 7 48 1 9.742 132.981 241.933 9 14 7 48 1 9.742 132.981 241.933 10 14 7 48 1 9.742 132.981 241.933 11 14 7 48 1 9.742 132.981 241.933 12 14 7 48 1 9.742 132.981 241.933 13 14 7 48 1 118.375 106.683 84.268 14 14 7 27 1 118.375 106.683 84.268 15 14 7 27 1 118.375 106.683 84.268 16 14 7 27 1 118.375 106.683 84.268 17 14 7 27 1 57.194 54.952 145.449 18 14 7 49 1 57.194 54.952 145.449 19 14 7 49 1 57.194 54.952 145.449 20 14 7 49 1 285.464 98.224 119.291 1 15 7 42 1 285.464 98.224 119.291 2 15 7 42 1 285.464 98.224 119.291 3 15 7 42 1 285.464 98.224 119.291 4 15 7 42 1 9.742 132.981 241.933 5 15 7 48 1 9.742 132.981 241.933 6 15 7 48 1 9.742 132.981 241.933 7 15 7 48 1 9.742 132.981 241.933 8 15 7 48 1 9.742 132.981 241.933 9 15 7 48 1 9.742 132.981 241.933 10 15 7 48 1 9.742 132.981 241.933 11 15 7 48 1 9.742 132.981 241.933 12 15 7 48 1 118.375 106.683 84.268 13 15 7 27 1 118.375 106.683 84.268 14 15 7 27 1 118.375 106.683 84.268 15 15 7 27 1 118.375 106.683 84.268 16 15 7 27 1 118.375 106.683 84.268 17 15 7 27 1 118.375 106.683 84.268 18 15 7 27 1 118.375 106.683 84.268 19 15 7 27 1 57.194 54.952 145.449 20 15 7 49 1 285.464 98.224 119.291 1 16 7 42 1 285.464 98.224 119.291 2 16 7 42 1 285.464 98.224 119.291 3 16 7 42 1 285.464 98.224 119.291 4 16 7 42 1 285.464 98.224 119.291 5 16 7 42 1 319.814 151.911 4.100 6 16 7 38 1 319.814 151.911 4.100 7 16 7 38 1 319.814 151.911 4.100 8 16 7 38 1 319.814 151.911 4.100 9 16 7 38 1 319.814 151.911 4.100 10 16 7 38 1 9.742 132.981 241.933 11 16 7 48 1 118.375 106.683 84.268 12 16 7 27 1 118.375 106.683 84.268 13 16 7 27 1 118.375 106.683 84.268 14 16 7 27 1 118.375 106.683 84.268 15 16 7 27 1 118.375 106.683 84.268 16 16 7 27 1 118.375 106.683 84.268 17 16 7 27 1 118.375 106.683 84.268 18 16 7 27 1 118.375 106.683 84.268 19 16 7 27 1 118.375 106.683 84.268 20 16 7 27 1 285.464 98.224 119.291 1 17 7 42 1 285.464 98.224 119.291 2 17 7 42 1 285.464 98.224 119.291 3 17 7 42 1 285.464 98.224 119.291 4 17 7 42 1 285.464 98.224 119.291 5 17 7 42 1 319.814 151.911 4.100 6 17 7 38 1 319.814 151.911 4.100 7 17 7 38 1 319.814 151.911 4.100 8 17 7 38 1 319.814 151.911 4.100 9 17 7 38 1 319.814 151.911 4.100 10 17 7 38 1 319.814 151.911 4.100 11 17 7 38 1 118.375 106.683 84.268 12 17 7 27 1 118.375 106.683 84.268 13 17 7 27 1 118.375 106.683 84.268 14 17 7 27 1 118.375 106.683 84.268 15 17 7 27 1 118.375 106.683 84.268 16 17 7 27 1 118.375 106.683 84.268 17 17 7 27 1 118.375 106.683 84.268 18 17 7 27 1 118.375 106.683 84.268 19 17 7 27 1 118.375 106.683 84.268 20 17 7 27 1 285.464 98.224 119.291 1 18 7 42 1 285.464 98.224 119.291 2 18 7 42 1 285.464 98.224 119.291 3 18 7 42 1 285.464 98.224 119.291 4 18 7 42 1 285.464 98.224 119.291 5 18 7 42 1 319.814 151.911 4.100 6 18 7 38 1 319.814 151.911 4.100 7 18 7 38 1 319.814 151.911 4.100 8 18 7 38 1 319.814 151.911 4.100 9 18 7 38 1 319.814 151.911 4.100 10 18 7 38 1 319.814 151.911 4.100 11 18 7 38 1 118.375 106.683 84.268 12 18 7 27 1 118.375 106.683 84.268 13 18 7 27 1 118.375 106.683 84.268 14 18 7 27 1 118.375 106.683 84.268 15 18 7 27 1 118.375 106.683 84.268 16 18 7 27 1 118.375 106.683 84.268 17 18 7 27 1 118.375 106.683 84.268 18 18 7 27 1 118.375 106.683 84.268 19 18 7 27 1 118.375 106.683 84.268 20 18 7 27 1 285.464 98.224 119.291 1 19 7 42 1 285.464 98.224 119.291 2 19 7 42 1 285.464 98.224 119.291 3 19 7 42 1 285.464 98.224 119.291 4 19 7 42 1 285.464 98.224 119.291 5 19 7 42 1 319.814 151.911 4.100 6 19 7 38 1 319.814 151.911 4.100 7 19 7 38 1 319.814 151.911 4.100 8 19 7 38 1 319.814 151.911 4.100 9 19 7 38 1 319.814 151.911 4.100 10 19 7 38 1 319.814 151.911 4.100 11 19 7 38 1 118.375 106.683 84.268 12 19 7 27 1 118.375 106.683 84.268 13 19 7 27 1 118.375 106.683 84.268 14 19 7 27 1 118.375 106.683 84.268 15 19 7 27 1 118.375 106.683 84.268 16 19 7 27 1 118.375 106.683 84.268 17 19 7 27 1 118.375 106.683 84.268 18 19 7 27 1 118.375 106.683 84.268 19 19 7 27 1 118.375 106.683 84.268 20 19 7 27 1 285.464 98.224 119.291 1 20 7 42 1 285.464 98.224 119.291 2 20 7 42 1 285.464 98.224 119.291 3 20 7 42 1 285.464 98.224 119.291 4 20 7 42 1 285.464 98.224 119.291 5 20 7 42 1 319.814 151.911 4.100 6 20 7 38 1 319.814 151.911 4.100 7 20 7 38 1 319.814 151.911 4.100 8 20 7 38 1 319.814 151.911 4.100 9 20 7 38 1 319.814 151.911 4.100 10 20 7 38 1 118.375 106.683 84.268 11 20 7 27 1 118.375 106.683 84.268 12 20 7 27 1 118.375 106.683 84.268 13 20 7 27 1 118.375 106.683 84.268 14 20 7 27 1 118.375 106.683 84.268 15 20 7 27 1 118.375 106.683 84.268 16 20 7 27 1 118.375 106.683 84.268 17 20 7 27 1 118.375 106.683 84.268 18 20 7 27 1 118.375 106.683 84.268 19 20 7 27 1 118.375 106.683 84.268 20 20 7 27 1 270.234 111.919 286.574 1 1 8 3 1 270.234 111.919 286.574 2 1 8 3 1 58.725 54.417 306.240 3 1 8 14 1 58.725 54.417 306.240 4 1 8 14 1 58.725 54.417 306.240 5 1 8 14 1 58.725 54.417 306.240 6 1 8 14 1 58.725 54.417 306.240 7 1 8 14 1 58.725 54.417 306.240 8 1 8 14 1 58.725 54.417 306.240 9 1 8 14 1 58.725 54.417 306.240 10 1 8 14 1 58.725 54.417 306.240 11 1 8 14 1 58.725 54.417 306.240 12 1 8 14 1 58.725 54.417 306.240 13 1 8 14 1 58.725 54.417 306.240 14 1 8 14 1 356.516 25.903 288.489 15 1 8 33 1 356.516 25.903 288.489 16 1 8 33 1 356.516 25.903 288.489 17 1 8 33 1 356.516 25.903 288.489 18 1 8 33 1 356.516 25.903 288.489 19 1 8 33 1 356.516 25.903 288.489 20 1 8 33 1 270.234 111.919 286.574 1 2 8 3 1 270.234 111.919 286.574 2 2 8 3 1 58.725 54.417 306.240 3 2 8 14 1 58.725 54.417 306.240 4 2 8 14 1 58.725 54.417 306.240 5 2 8 14 1 58.725 54.417 306.240 6 2 8 14 1 58.725 54.417 306.240 7 2 8 14 1 58.725 54.417 306.240 8 2 8 14 1 58.725 54.417 306.240 9 2 8 14 1 58.725 54.417 306.240 10 2 8 14 1 58.725 54.417 306.240 11 2 8 14 1 58.725 54.417 306.240 12 2 8 14 1 58.725 54.417 306.240 13 2 8 14 1 356.516 25.903 288.489 14 2 8 33 1 356.516 25.903 288.489 15 2 8 33 1 356.516 25.903 288.489 16 2 8 33 1 356.516 25.903 288.489 17 2 8 33 1 356.516 25.903 288.489 18 2 8 33 1 356.516 25.903 288.489 19 2 8 33 1 356.516 25.903 288.489 20 2 8 33 1 270.234 111.919 286.574 1 3 8 3 1 270.234 111.919 286.574 2 3 8 3 1 270.234 111.919 286.574 3 3 8 3 1 58.725 54.417 306.240 4 3 8 14 1 58.725 54.417 306.240 5 3 8 14 1 58.725 54.417 306.240 6 3 8 14 1 58.725 54.417 306.240 7 3 8 14 1 58.725 54.417 306.240 8 3 8 14 1 58.725 54.417 306.240 9 3 8 14 1 58.725 54.417 306.240 10 3 8 14 1 58.725 54.417 306.240 11 3 8 14 1 58.725 54.417 306.240 12 3 8 14 1 58.725 54.417 306.240 13 3 8 14 1 58.725 54.417 306.240 14 3 8 14 1 356.516 25.903 288.489 15 3 8 33 1 356.516 25.903 288.489 16 3 8 33 1 356.516 25.903 288.489 17 3 8 33 1 356.516 25.903 288.489 18 3 8 33 1 356.516 25.903 288.489 19 3 8 33 1 356.516 25.903 288.489 20 3 8 33 1 270.234 111.919 286.574 1 4 8 3 1 270.234 111.919 286.574 2 4 8 3 1 270.234 111.919 286.574 3 4 8 3 1 270.234 111.919 286.574 4 4 8 3 1 58.725 54.417 306.240 5 4 8 14 1 58.725 54.417 306.240 6 4 8 14 1 58.725 54.417 306.240 7 4 8 14 1 58.725 54.417 306.240 8 4 8 14 1 58.725 54.417 306.240 9 4 8 14 1 58.725 54.417 306.240 10 4 8 14 1 58.725 54.417 306.240 11 4 8 14 1 58.725 54.417 306.240 12 4 8 14 1 58.725 54.417 306.240 13 4 8 14 1 58.725 54.417 306.240 14 4 8 14 1 356.516 25.903 288.489 15 4 8 33 1 356.516 25.903 288.489 16 4 8 33 1 356.516 25.903 288.489 17 4 8 33 1 356.516 25.903 288.489 18 4 8 33 1 356.516 25.903 288.489 19 4 8 33 1 356.516 25.903 288.489 20 4 8 33 1 270.234 111.919 286.574 1 5 8 3 1 270.234 111.919 286.574 2 5 8 3 1 270.234 111.919 286.574 3 5 8 3 1 270.234 111.919 286.574 4 5 8 3 1 270.234 111.919 286.574 5 5 8 3 1 58.725 54.417 306.240 6 5 8 14 1 58.725 54.417 306.240 7 5 8 14 1 58.725 54.417 306.240 8 5 8 14 1 58.725 54.417 306.240 9 5 8 14 1 58.725 54.417 306.240 10 5 8 14 1 58.725 54.417 306.240 11 5 8 14 1 58.725 54.417 306.240 12 5 8 14 1 58.725 54.417 306.240 13 5 8 14 1 58.725 54.417 306.240 14 5 8 14 1 155.686 60.526 232.560 15 5 8 41 1 356.516 25.903 288.489 16 5 8 33 1 356.516 25.903 288.489 17 5 8 33 1 356.516 25.903 288.489 18 5 8 33 1 356.516 25.903 288.489 19 5 8 33 1 356.516 25.903 288.489 20 5 8 33 1 270.234 111.919 286.574 1 6 8 3 1 270.234 111.919 286.574 2 6 8 3 1 270.234 111.919 286.574 3 6 8 3 1 270.234 111.919 286.574 4 6 8 3 1 270.234 111.919 286.574 5 6 8 3 1 270.234 111.919 286.574 6 6 8 3 1 58.725 54.417 306.240 7 6 8 14 1 58.725 54.417 306.240 8 6 8 14 1 58.725 54.417 306.240 9 6 8 14 1 58.725 54.417 306.240 10 6 8 14 1 58.725 54.417 306.240 11 6 8 14 1 230.679 68.083 62.237 12 6 8 26 1 230.679 68.083 62.237 13 6 8 26 1 230.679 68.083 62.237 14 6 8 26 1 230.679 68.083 62.237 15 6 8 26 1 230.679 68.083 62.237 16 6 8 26 1 155.686 60.526 232.560 17 6 8 41 1 356.516 25.903 288.489 18 6 8 33 1 356.516 25.903 288.489 19 6 8 33 1 356.516 25.903 288.489 20 6 8 33 1 270.234 111.919 286.574 1 7 8 3 1 270.234 111.919 286.574 2 7 8 3 1 270.234 111.919 286.574 3 7 8 3 1 270.234 111.919 286.574 4 7 8 3 1 270.234 111.919 286.574 5 7 8 3 1 270.234 111.919 286.574 6 7 8 3 1 270.234 111.919 286.574 7 7 8 3 1 58.725 54.417 306.240 8 7 8 14 1 230.679 68.083 62.237 9 7 8 26 1 230.679 68.083 62.237 10 7 8 26 1 230.679 68.083 62.237 11 7 8 26 1 230.679 68.083 62.237 12 7 8 26 1 230.679 68.083 62.237 13 7 8 26 1 230.679 68.083 62.237 14 7 8 26 1 230.679 68.083 62.237 15 7 8 26 1 230.679 68.083 62.237 16 7 8 26 1 230.679 68.083 62.237 17 7 8 26 1 356.516 25.903 288.489 18 7 8 33 1 148.454 90.039 126.300 19 7 8 4 1 148.454 90.039 126.300 20 7 8 4 1 270.234 111.919 286.574 1 8 8 3 1 270.234 111.919 286.574 2 8 8 3 1 270.234 111.919 286.574 3 8 8 3 1 270.234 111.919 286.574 4 8 8 3 1 270.234 111.919 286.574 5 8 8 3 1 270.234 111.919 286.574 6 8 8 3 1 270.234 111.919 286.574 7 8 8 3 1 270.234 111.919 286.574 8 8 8 3 1 230.679 68.083 62.237 9 8 8 26 1 230.679 68.083 62.237 10 8 8 26 1 230.679 68.083 62.237 11 8 8 26 1 230.679 68.083 62.237 12 8 8 26 1 230.679 68.083 62.237 13 8 8 26 1 230.679 68.083 62.237 14 8 8 26 1 230.679 68.083 62.237 15 8 8 26 1 230.679 68.083 62.237 16 8 8 26 1 230.679 68.083 62.237 17 8 8 26 1 148.454 90.039 126.300 18 8 8 4 1 148.454 90.039 126.300 19 8 8 4 1 148.454 90.039 126.300 20 8 8 4 1 270.234 111.919 286.574 1 9 8 3 1 270.234 111.919 286.574 2 9 8 3 1 270.234 111.919 286.574 3 9 8 3 1 270.234 111.919 286.574 4 9 8 3 1 270.234 111.919 286.574 5 9 8 3 1 270.234 111.919 286.574 6 9 8 3 1 270.234 111.919 286.574 7 9 8 3 1 9.742 132.981 241.933 8 9 8 48 1 9.742 132.981 241.933 9 9 8 48 1 230.679 68.083 62.237 10 9 8 26 1 230.679 68.083 62.237 11 9 8 26 1 230.679 68.083 62.237 12 9 8 26 1 230.679 68.083 62.237 13 9 8 26 1 230.679 68.083 62.237 14 9 8 26 1 230.679 68.083 62.237 15 9 8 26 1 230.679 68.083 62.237 16 9 8 26 1 230.679 68.083 62.237 17 9 8 26 1 148.454 90.039 126.300 18 9 8 4 1 148.454 90.039 126.300 19 9 8 4 1 148.454 90.039 126.300 20 9 8 4 1 270.234 111.919 286.574 1 10 8 3 1 270.234 111.919 286.574 2 10 8 3 1 270.234 111.919 286.574 3 10 8 3 1 270.234 111.919 286.574 4 10 8 3 1 270.234 111.919 286.574 5 10 8 3 1 270.234 111.919 286.574 6 10 8 3 1 9.742 132.981 241.933 7 10 8 48 1 9.742 132.981 241.933 8 10 8 48 1 9.742 132.981 241.933 9 10 8 48 1 9.742 132.981 241.933 10 10 8 48 1 230.679 68.083 62.237 11 10 8 26 1 230.679 68.083 62.237 12 10 8 26 1 230.679 68.083 62.237 13 10 8 26 1 230.679 68.083 62.237 14 10 8 26 1 230.679 68.083 62.237 15 10 8 26 1 230.679 68.083 62.237 16 10 8 26 1 230.679 68.083 62.237 17 10 8 26 1 148.454 90.039 126.300 18 10 8 4 1 148.454 90.039 126.300 19 10 8 4 1 148.454 90.039 126.300 20 10 8 4 1 270.234 111.919 286.574 1 11 8 3 1 270.234 111.919 286.574 2 11 8 3 1 270.234 111.919 286.574 3 11 8 3 1 270.234 111.919 286.574 4 11 8 3 1 270.234 111.919 286.574 5 11 8 3 1 9.742 132.981 241.933 6 11 8 48 1 9.742 132.981 241.933 7 11 8 48 1 9.742 132.981 241.933 8 11 8 48 1 9.742 132.981 241.933 9 11 8 48 1 9.742 132.981 241.933 10 11 8 48 1 9.742 132.981 241.933 11 11 8 48 1 230.679 68.083 62.237 12 11 8 26 1 230.679 68.083 62.237 13 11 8 26 1 230.679 68.083 62.237 14 11 8 26 1 230.679 68.083 62.237 15 11 8 26 1 230.679 68.083 62.237 16 11 8 26 1 230.679 68.083 62.237 17 11 8 26 1 148.454 90.039 126.300 18 11 8 4 1 148.454 90.039 126.300 19 11 8 4 1 148.454 90.039 126.300 20 11 8 4 1 270.234 111.919 286.574 1 12 8 3 1 270.234 111.919 286.574 2 12 8 3 1 270.234 111.919 286.574 3 12 8 3 1 270.234 111.919 286.574 4 12 8 3 1 9.742 132.981 241.933 5 12 8 48 1 9.742 132.981 241.933 6 12 8 48 1 9.742 132.981 241.933 7 12 8 48 1 9.742 132.981 241.933 8 12 8 48 1 9.742 132.981 241.933 9 12 8 48 1 9.742 132.981 241.933 10 12 8 48 1 9.742 132.981 241.933 11 12 8 48 1 230.679 68.083 62.237 12 12 8 26 1 230.679 68.083 62.237 13 12 8 26 1 230.679 68.083 62.237 14 12 8 26 1 230.679 68.083 62.237 15 12 8 26 1 230.679 68.083 62.237 16 12 8 26 1 230.679 68.083 62.237 17 12 8 26 1 148.454 90.039 126.300 18 12 8 4 1 148.454 90.039 126.300 19 12 8 4 1 148.454 90.039 126.300 20 12 8 4 1 270.234 111.919 286.574 1 13 8 3 1 246.290 104.982 183.986 2 13 8 23 1 270.234 111.919 286.574 3 13 8 3 1 270.234 111.919 286.574 4 13 8 3 1 9.742 132.981 241.933 5 13 8 48 1 9.742 132.981 241.933 6 13 8 48 1 9.742 132.981 241.933 7 13 8 48 1 9.742 132.981 241.933 8 13 8 48 1 9.742 132.981 241.933 9 13 8 48 1 9.742 132.981 241.933 10 13 8 48 1 9.742 132.981 241.933 11 13 8 48 1 9.742 132.981 241.933 12 13 8 48 1 230.679 68.083 62.237 13 13 8 26 1 230.679 68.083 62.237 14 13 8 26 1 230.679 68.083 62.237 15 13 8 26 1 230.679 68.083 62.237 16 13 8 26 1 230.679 68.083 62.237 17 13 8 26 1 103.919 42.576 234.753 18 13 8 8 1 103.919 42.576 234.753 19 13 8 8 1 103.919 42.576 234.753 20 13 8 8 1 246.290 104.982 183.986 1 14 8 23 1 246.290 104.982 183.986 2 14 8 23 1 246.290 104.982 183.986 3 14 8 23 1 246.290 104.982 183.986 4 14 8 23 1 9.742 132.981 241.933 5 14 8 48 1 9.742 132.981 241.933 6 14 8 48 1 9.742 132.981 241.933 7 14 8 48 1 9.742 132.981 241.933 8 14 8 48 1 9.742 132.981 241.933 9 14 8 48 1 9.742 132.981 241.933 10 14 8 48 1 9.742 132.981 241.933 11 14 8 48 1 9.742 132.981 241.933 12 14 8 48 1 9.742 132.981 241.933 13 14 8 48 1 118.375 106.683 84.268 14 14 8 27 1 118.375 106.683 84.268 15 14 8 27 1 118.375 106.683 84.268 16 14 8 27 1 118.375 106.683 84.268 17 14 8 27 1 118.375 106.683 84.268 18 14 8 27 1 103.919 42.576 234.753 19 14 8 8 1 103.919 42.576 234.753 20 14 8 8 1 285.464 98.224 119.291 1 15 8 42 1 285.464 98.224 119.291 2 15 8 42 1 285.464 98.224 119.291 3 15 8 42 1 285.464 98.224 119.291 4 15 8 42 1 9.742 132.981 241.933 5 15 8 48 1 9.742 132.981 241.933 6 15 8 48 1 9.742 132.981 241.933 7 15 8 48 1 9.742 132.981 241.933 8 15 8 48 1 9.742 132.981 241.933 9 15 8 48 1 9.742 132.981 241.933 10 15 8 48 1 9.742 132.981 241.933 11 15 8 48 1 9.742 132.981 241.933 12 15 8 48 1 118.375 106.683 84.268 13 15 8 27 1 118.375 106.683 84.268 14 15 8 27 1 118.375 106.683 84.268 15 15 8 27 1 118.375 106.683 84.268 16 15 8 27 1 118.375 106.683 84.268 17 15 8 27 1 118.375 106.683 84.268 18 15 8 27 1 118.375 106.683 84.268 19 15 8 27 1 103.919 42.576 234.753 20 15 8 8 1 285.464 98.224 119.291 1 16 8 42 1 285.464 98.224 119.291 2 16 8 42 1 285.464 98.224 119.291 3 16 8 42 1 285.464 98.224 119.291 4 16 8 42 1 319.814 151.911 4.100 5 16 8 38 1 319.814 151.911 4.100 6 16 8 38 1 319.814 151.911 4.100 7 16 8 38 1 319.814 151.911 4.100 8 16 8 38 1 319.814 151.911 4.100 9 16 8 38 1 319.814 151.911 4.100 10 16 8 38 1 9.742 132.981 241.933 11 16 8 48 1 118.375 106.683 84.268 12 16 8 27 1 118.375 106.683 84.268 13 16 8 27 1 118.375 106.683 84.268 14 16 8 27 1 118.375 106.683 84.268 15 16 8 27 1 118.375 106.683 84.268 16 16 8 27 1 118.375 106.683 84.268 17 16 8 27 1 118.375 106.683 84.268 18 16 8 27 1 118.375 106.683 84.268 19 16 8 27 1 118.375 106.683 84.268 20 16 8 27 1 285.464 98.224 119.291 1 17 8 42 1 285.464 98.224 119.291 2 17 8 42 1 285.464 98.224 119.291 3 17 8 42 1 285.464 98.224 119.291 4 17 8 42 1 319.814 151.911 4.100 5 17 8 38 1 319.814 151.911 4.100 6 17 8 38 1 319.814 151.911 4.100 7 17 8 38 1 319.814 151.911 4.100 8 17 8 38 1 319.814 151.911 4.100 9 17 8 38 1 319.814 151.911 4.100 10 17 8 38 1 319.814 151.911 4.100 11 17 8 38 1 118.375 106.683 84.268 12 17 8 27 1 118.375 106.683 84.268 13 17 8 27 1 118.375 106.683 84.268 14 17 8 27 1 118.375 106.683 84.268 15 17 8 27 1 118.375 106.683 84.268 16 17 8 27 1 118.375 106.683 84.268 17 17 8 27 1 118.375 106.683 84.268 18 17 8 27 1 118.375 106.683 84.268 19 17 8 27 1 118.375 106.683 84.268 20 17 8 27 1 285.464 98.224 119.291 1 18 8 42 1 285.464 98.224 119.291 2 18 8 42 1 285.464 98.224 119.291 3 18 8 42 1 285.464 98.224 119.291 4 18 8 42 1 285.464 98.224 119.291 5 18 8 42 1 319.814 151.911 4.100 6 18 8 38 1 319.814 151.911 4.100 7 18 8 38 1 319.814 151.911 4.100 8 18 8 38 1 319.814 151.911 4.100 9 18 8 38 1 319.814 151.911 4.100 10 18 8 38 1 319.814 151.911 4.100 11 18 8 38 1 118.375 106.683 84.268 12 18 8 27 1 118.375 106.683 84.268 13 18 8 27 1 118.375 106.683 84.268 14 18 8 27 1 118.375 106.683 84.268 15 18 8 27 1 118.375 106.683 84.268 16 18 8 27 1 118.375 106.683 84.268 17 18 8 27 1 118.375 106.683 84.268 18 18 8 27 1 118.375 106.683 84.268 19 18 8 27 1 118.375 106.683 84.268 20 18 8 27 1 285.464 98.224 119.291 1 19 8 42 1 285.464 98.224 119.291 2 19 8 42 1 285.464 98.224 119.291 3 19 8 42 1 285.464 98.224 119.291 4 19 8 42 1 285.464 98.224 119.291 5 19 8 42 1 319.814 151.911 4.100 6 19 8 38 1 319.814 151.911 4.100 7 19 8 38 1 319.814 151.911 4.100 8 19 8 38 1 319.814 151.911 4.100 9 19 8 38 1 319.814 151.911 4.100 10 19 8 38 1 319.814 151.911 4.100 11 19 8 38 1 118.375 106.683 84.268 12 19 8 27 1 118.375 106.683 84.268 13 19 8 27 1 118.375 106.683 84.268 14 19 8 27 1 118.375 106.683 84.268 15 19 8 27 1 118.375 106.683 84.268 16 19 8 27 1 118.375 106.683 84.268 17 19 8 27 1 118.375 106.683 84.268 18 19 8 27 1 118.375 106.683 84.268 19 19 8 27 1 118.375 106.683 84.268 20 19 8 27 1 285.464 98.224 119.291 1 20 8 42 1 285.464 98.224 119.291 2 20 8 42 1 285.464 98.224 119.291 3 20 8 42 1 285.464 98.224 119.291 4 20 8 42 1 285.464 98.224 119.291 5 20 8 42 1 319.814 151.911 4.100 6 20 8 38 1 319.814 151.911 4.100 7 20 8 38 1 319.814 151.911 4.100 8 20 8 38 1 319.814 151.911 4.100 9 20 8 38 1 319.814 151.911 4.100 10 20 8 38 1 319.814 151.911 4.100 11 20 8 38 1 118.375 106.683 84.268 12 20 8 27 1 118.375 106.683 84.268 13 20 8 27 1 118.375 106.683 84.268 14 20 8 27 1 118.375 106.683 84.268 15 20 8 27 1 118.375 106.683 84.268 16 20 8 27 1 118.375 106.683 84.268 17 20 8 27 1 118.375 106.683 84.268 18 20 8 27 1 118.375 106.683 84.268 19 20 8 27 1 118.375 106.683 84.268 20 20 8 27 1 213.704 129.862 233.466 1 1 9 5 1 213.704 129.862 233.466 2 1 9 5 1 58.725 54.417 306.240 3 1 9 14 1 58.725 54.417 306.240 4 1 9 14 1 58.725 54.417 306.240 5 1 9 14 1 58.725 54.417 306.240 6 1 9 14 1 58.725 54.417 306.240 7 1 9 14 1 58.725 54.417 306.240 8 1 9 14 1 58.725 54.417 306.240 9 1 9 14 1 58.725 54.417 306.240 10 1 9 14 1 58.725 54.417 306.240 11 1 9 14 1 58.725 54.417 306.240 12 1 9 14 1 58.725 54.417 306.240 13 1 9 14 1 58.725 54.417 306.240 14 1 9 14 1 356.516 25.903 288.489 15 1 9 33 1 356.516 25.903 288.489 16 1 9 33 1 356.516 25.903 288.489 17 1 9 33 1 356.516 25.903 288.489 18 1 9 33 1 356.516 25.903 288.489 19 1 9 33 1 356.516 25.903 288.489 20 1 9 33 1 270.234 111.919 286.574 1 2 9 3 1 270.234 111.919 286.574 2 2 9 3 1 58.725 54.417 306.240 3 2 9 14 1 58.725 54.417 306.240 4 2 9 14 1 58.725 54.417 306.240 5 2 9 14 1 58.725 54.417 306.240 6 2 9 14 1 58.725 54.417 306.240 7 2 9 14 1 58.725 54.417 306.240 8 2 9 14 1 58.725 54.417 306.240 9 2 9 14 1 58.725 54.417 306.240 10 2 9 14 1 58.725 54.417 306.240 11 2 9 14 1 58.725 54.417 306.240 12 2 9 14 1 58.725 54.417 306.240 13 2 9 14 1 58.725 54.417 306.240 14 2 9 14 1 356.516 25.903 288.489 15 2 9 33 1 356.516 25.903 288.489 16 2 9 33 1 356.516 25.903 288.489 17 2 9 33 1 356.516 25.903 288.489 18 2 9 33 1 356.516 25.903 288.489 19 2 9 33 1 356.516 25.903 288.489 20 2 9 33 1 270.234 111.919 286.574 1 3 9 3 1 270.234 111.919 286.574 2 3 9 3 1 270.234 111.919 286.574 3 3 9 3 1 58.725 54.417 306.240 4 3 9 14 1 58.725 54.417 306.240 5 3 9 14 1 58.725 54.417 306.240 6 3 9 14 1 58.725 54.417 306.240 7 3 9 14 1 58.725 54.417 306.240 8 3 9 14 1 58.725 54.417 306.240 9 3 9 14 1 58.725 54.417 306.240 10 3 9 14 1 58.725 54.417 306.240 11 3 9 14 1 58.725 54.417 306.240 12 3 9 14 1 58.725 54.417 306.240 13 3 9 14 1 58.725 54.417 306.240 14 3 9 14 1 356.516 25.903 288.489 15 3 9 33 1 356.516 25.903 288.489 16 3 9 33 1 356.516 25.903 288.489 17 3 9 33 1 356.516 25.903 288.489 18 3 9 33 1 356.516 25.903 288.489 19 3 9 33 1 356.516 25.903 288.489 20 3 9 33 1 270.234 111.919 286.574 1 4 9 3 1 270.234 111.919 286.574 2 4 9 3 1 270.234 111.919 286.574 3 4 9 3 1 270.234 111.919 286.574 4 4 9 3 1 58.725 54.417 306.240 5 4 9 14 1 58.725 54.417 306.240 6 4 9 14 1 58.725 54.417 306.240 7 4 9 14 1 58.725 54.417 306.240 8 4 9 14 1 58.725 54.417 306.240 9 4 9 14 1 58.725 54.417 306.240 10 4 9 14 1 58.725 54.417 306.240 11 4 9 14 1 58.725 54.417 306.240 12 4 9 14 1 58.725 54.417 306.240 13 4 9 14 1 58.725 54.417 306.240 14 4 9 14 1 155.686 60.526 232.560 15 4 9 41 1 155.686 60.526 232.560 16 4 9 41 1 155.686 60.526 232.560 17 4 9 41 1 356.516 25.903 288.489 18 4 9 33 1 356.516 25.903 288.489 19 4 9 33 1 356.516 25.903 288.489 20 4 9 33 1 270.234 111.919 286.574 1 5 9 3 1 270.234 111.919 286.574 2 5 9 3 1 270.234 111.919 286.574 3 5 9 3 1 270.234 111.919 286.574 4 5 9 3 1 270.234 111.919 286.574 5 5 9 3 1 58.725 54.417 306.240 6 5 9 14 1 58.725 54.417 306.240 7 5 9 14 1 58.725 54.417 306.240 8 5 9 14 1 58.725 54.417 306.240 9 5 9 14 1 58.725 54.417 306.240 10 5 9 14 1 58.725 54.417 306.240 11 5 9 14 1 58.725 54.417 306.240 12 5 9 14 1 58.725 54.417 306.240 13 5 9 14 1 155.686 60.526 232.560 14 5 9 41 1 155.686 60.526 232.560 15 5 9 41 1 155.686 60.526 232.560 16 5 9 41 1 155.686 60.526 232.560 17 5 9 41 1 155.686 60.526 232.560 18 5 9 41 1 359.146 112.896 37.983 19 5 9 6 1 359.146 112.896 37.983 20 5 9 6 1 270.234 111.919 286.574 1 6 9 3 1 270.234 111.919 286.574 2 6 9 3 1 270.234 111.919 286.574 3 6 9 3 1 270.234 111.919 286.574 4 6 9 3 1 270.234 111.919 286.574 5 6 9 3 1 270.234 111.919 286.574 6 6 9 3 1 58.725 54.417 306.240 7 6 9 14 1 58.725 54.417 306.240 8 6 9 14 1 58.725 54.417 306.240 9 6 9 14 1 58.725 54.417 306.240 10 6 9 14 1 58.725 54.417 306.240 11 6 9 14 1 230.679 68.083 62.237 12 6 9 26 1 230.679 68.083 62.237 13 6 9 26 1 230.679 68.083 62.237 14 6 9 26 1 155.686 60.526 232.560 15 6 9 41 1 155.686 60.526 232.560 16 6 9 41 1 155.686 60.526 232.560 17 6 9 41 1 155.686 60.526 232.560 18 6 9 41 1 155.686 60.526 232.560 19 6 9 41 1 359.146 112.896 37.983 20 6 9 6 1 270.234 111.919 286.574 1 7 9 3 1 270.234 111.919 286.574 2 7 9 3 1 270.234 111.919 286.574 3 7 9 3 1 270.234 111.919 286.574 4 7 9 3 1 270.234 111.919 286.574 5 7 9 3 1 270.234 111.919 286.574 6 7 9 3 1 270.234 111.919 286.574 7 7 9 3 1 58.725 54.417 306.240 8 7 9 14 1 58.725 54.417 306.240 9 7 9 14 1 230.679 68.083 62.237 10 7 9 26 1 230.679 68.083 62.237 11 7 9 26 1 230.679 68.083 62.237 12 7 9 26 1 230.679 68.083 62.237 13 7 9 26 1 230.679 68.083 62.237 14 7 9 26 1 230.679 68.083 62.237 15 7 9 26 1 155.686 60.526 232.560 16 7 9 41 1 155.686 60.526 232.560 17 7 9 41 1 155.686 60.526 232.560 18 7 9 41 1 148.454 90.039 126.300 19 7 9 4 1 148.454 90.039 126.300 20 7 9 4 1 270.234 111.919 286.574 1 8 9 3 1 270.234 111.919 286.574 2 8 9 3 1 270.234 111.919 286.574 3 8 9 3 1 270.234 111.919 286.574 4 8 9 3 1 270.234 111.919 286.574 5 8 9 3 1 270.234 111.919 286.574 6 8 9 3 1 270.234 111.919 286.574 7 8 9 3 1 58.725 54.417 306.240 8 8 9 14 1 230.679 68.083 62.237 9 8 9 26 1 230.679 68.083 62.237 10 8 9 26 1 230.679 68.083 62.237 11 8 9 26 1 230.679 68.083 62.237 12 8 9 26 1 230.679 68.083 62.237 13 8 9 26 1 230.679 68.083 62.237 14 8 9 26 1 230.679 68.083 62.237 15 8 9 26 1 230.679 68.083 62.237 16 8 9 26 1 230.679 68.083 62.237 17 8 9 26 1 148.454 90.039 126.300 18 8 9 4 1 148.454 90.039 126.300 19 8 9 4 1 148.454 90.039 126.300 20 8 9 4 1 270.234 111.919 286.574 1 9 9 3 1 270.234 111.919 286.574 2 9 9 3 1 270.234 111.919 286.574 3 9 9 3 1 270.234 111.919 286.574 4 9 9 3 1 270.234 111.919 286.574 5 9 9 3 1 270.234 111.919 286.574 6 9 9 3 1 270.234 111.919 286.574 7 9 9 3 1 9.742 132.981 241.933 8 9 9 48 1 9.742 132.981 241.933 9 9 9 48 1 230.679 68.083 62.237 10 9 9 26 1 230.679 68.083 62.237 11 9 9 26 1 230.679 68.083 62.237 12 9 9 26 1 230.679 68.083 62.237 13 9 9 26 1 230.679 68.083 62.237 14 9 9 26 1 230.679 68.083 62.237 15 9 9 26 1 230.679 68.083 62.237 16 9 9 26 1 230.679 68.083 62.237 17 9 9 26 1 148.454 90.039 126.300 18 9 9 4 1 148.454 90.039 126.300 19 9 9 4 1 148.454 90.039 126.300 20 9 9 4 1 270.234 111.919 286.574 1 10 9 3 1 270.234 111.919 286.574 2 10 9 3 1 270.234 111.919 286.574 3 10 9 3 1 270.234 111.919 286.574 4 10 9 3 1 270.234 111.919 286.574 5 10 9 3 1 270.234 111.919 286.574 6 10 9 3 1 9.742 132.981 241.933 7 10 9 48 1 9.742 132.981 241.933 8 10 9 48 1 9.742 132.981 241.933 9 10 9 48 1 9.742 132.981 241.933 10 10 9 48 1 230.679 68.083 62.237 11 10 9 26 1 230.679 68.083 62.237 12 10 9 26 1 230.679 68.083 62.237 13 10 9 26 1 230.679 68.083 62.237 14 10 9 26 1 230.679 68.083 62.237 15 10 9 26 1 230.679 68.083 62.237 16 10 9 26 1 230.679 68.083 62.237 17 10 9 26 1 148.454 90.039 126.300 18 10 9 4 1 148.454 90.039 126.300 19 10 9 4 1 148.454 90.039 126.300 20 10 9 4 1 270.234 111.919 286.574 1 11 9 3 1 270.234 111.919 286.574 2 11 9 3 1 270.234 111.919 286.574 3 11 9 3 1 270.234 111.919 286.574 4 11 9 3 1 270.234 111.919 286.574 5 11 9 3 1 9.742 132.981 241.933 6 11 9 48 1 9.742 132.981 241.933 7 11 9 48 1 9.742 132.981 241.933 8 11 9 48 1 9.742 132.981 241.933 9 11 9 48 1 9.742 132.981 241.933 10 11 9 48 1 9.742 132.981 241.933 11 11 9 48 1 230.679 68.083 62.237 12 11 9 26 1 230.679 68.083 62.237 13 11 9 26 1 230.679 68.083 62.237 14 11 9 26 1 230.679 68.083 62.237 15 11 9 26 1 230.679 68.083 62.237 16 11 9 26 1 230.679 68.083 62.237 17 11 9 26 1 148.454 90.039 126.300 18 11 9 4 1 148.454 90.039 126.300 19 11 9 4 1 148.454 90.039 126.300 20 11 9 4 1 270.234 111.919 286.574 1 12 9 3 1 270.234 111.919 286.574 2 12 9 3 1 270.234 111.919 286.574 3 12 9 3 1 270.234 111.919 286.574 4 12 9 3 1 270.234 111.919 286.574 5 12 9 3 1 9.742 132.981 241.933 6 12 9 48 1 9.742 132.981 241.933 7 12 9 48 1 9.742 132.981 241.933 8 12 9 48 1 9.742 132.981 241.933 9 12 9 48 1 9.742 132.981 241.933 10 12 9 48 1 9.742 132.981 241.933 11 12 9 48 1 230.679 68.083 62.237 12 12 9 26 1 230.679 68.083 62.237 13 12 9 26 1 230.679 68.083 62.237 14 12 9 26 1 230.679 68.083 62.237 15 12 9 26 1 230.679 68.083 62.237 16 12 9 26 1 230.679 68.083 62.237 17 12 9 26 1 148.454 90.039 126.300 18 12 9 4 1 148.454 90.039 126.300 19 12 9 4 1 148.454 90.039 126.300 20 12 9 4 1 270.234 111.919 286.574 1 13 9 3 1 246.290 104.982 183.986 2 13 9 23 1 270.234 111.919 286.574 3 13 9 3 1 270.234 111.919 286.574 4 13 9 3 1 9.742 132.981 241.933 5 13 9 48 1 9.742 132.981 241.933 6 13 9 48 1 9.742 132.981 241.933 7 13 9 48 1 9.742 132.981 241.933 8 13 9 48 1 9.742 132.981 241.933 9 13 9 48 1 9.742 132.981 241.933 10 13 9 48 1 9.742 132.981 241.933 11 13 9 48 1 9.742 132.981 241.933 12 13 9 48 1 230.679 68.083 62.237 13 13 9 26 1 230.679 68.083 62.237 14 13 9 26 1 230.679 68.083 62.237 15 13 9 26 1 230.679 68.083 62.237 16 13 9 26 1 230.679 68.083 62.237 17 13 9 26 1 103.919 42.576 234.753 18 13 9 8 1 103.919 42.576 234.753 19 13 9 8 1 103.919 42.576 234.753 20 13 9 8 1 246.290 104.982 183.986 1 14 9 23 1 246.290 104.982 183.986 2 14 9 23 1 246.290 104.982 183.986 3 14 9 23 1 246.290 104.982 183.986 4 14 9 23 1 9.742 132.981 241.933 5 14 9 48 1 9.742 132.981 241.933 6 14 9 48 1 9.742 132.981 241.933 7 14 9 48 1 9.742 132.981 241.933 8 14 9 48 1 9.742 132.981 241.933 9 14 9 48 1 9.742 132.981 241.933 10 14 9 48 1 9.742 132.981 241.933 11 14 9 48 1 9.742 132.981 241.933 12 14 9 48 1 9.742 132.981 241.933 13 14 9 48 1 230.679 68.083 62.237 14 14 9 26 1 118.375 106.683 84.268 15 14 9 27 1 118.375 106.683 84.268 16 14 9 27 1 118.375 106.683 84.268 17 14 9 27 1 103.919 42.576 234.753 18 14 9 8 1 103.919 42.576 234.753 19 14 9 8 1 103.919 42.576 234.753 20 14 9 8 1 246.290 104.982 183.986 1 15 9 23 1 246.290 104.982 183.986 2 15 9 23 1 246.290 104.982 183.986 3 15 9 23 1 246.290 104.982 183.986 4 15 9 23 1 246.290 104.982 183.986 5 15 9 23 1 9.742 132.981 241.933 6 15 9 48 1 9.742 132.981 241.933 7 15 9 48 1 9.742 132.981 241.933 8 15 9 48 1 9.742 132.981 241.933 9 15 9 48 1 9.742 132.981 241.933 10 15 9 48 1 9.742 132.981 241.933 11 15 9 48 1 9.742 132.981 241.933 12 15 9 48 1 9.742 132.981 241.933 13 15 9 48 1 118.375 106.683 84.268 14 15 9 27 1 118.375 106.683 84.268 15 15 9 27 1 118.375 106.683 84.268 16 15 9 27 1 118.375 106.683 84.268 17 15 9 27 1 118.375 106.683 84.268 18 15 9 27 1 103.919 42.576 234.753 19 15 9 8 1 103.919 42.576 234.753 20 15 9 8 1 246.290 104.982 183.986 1 16 9 23 1 246.290 104.982 183.986 2 16 9 23 1 246.290 104.982 183.986 3 16 9 23 1 246.290 104.982 183.986 4 16 9 23 1 285.464 98.224 119.291 5 16 9 42 1 319.814 151.911 4.100 6 16 9 38 1 319.814 151.911 4.100 7 16 9 38 1 319.814 151.911 4.100 8 16 9 38 1 9.742 132.981 241.933 9 16 9 48 1 9.742 132.981 241.933 10 16 9 48 1 9.742 132.981 241.933 11 16 9 48 1 9.742 132.981 241.933 12 16 9 48 1 118.375 106.683 84.268 13 16 9 27 1 118.375 106.683 84.268 14 16 9 27 1 118.375 106.683 84.268 15 16 9 27 1 118.375 106.683 84.268 16 16 9 27 1 118.375 106.683 84.268 17 16 9 27 1 118.375 106.683 84.268 18 16 9 27 1 118.375 106.683 84.268 19 16 9 27 1 103.919 42.576 234.753 20 16 9 8 1 285.464 98.224 119.291 1 17 9 42 1 285.464 98.224 119.291 2 17 9 42 1 285.464 98.224 119.291 3 17 9 42 1 285.464 98.224 119.291 4 17 9 42 1 285.464 98.224 119.291 5 17 9 42 1 319.814 151.911 4.100 6 17 9 38 1 319.814 151.911 4.100 7 17 9 38 1 319.814 151.911 4.100 8 17 9 38 1 319.814 151.911 4.100 9 17 9 38 1 319.814 151.911 4.100 10 17 9 38 1 319.814 151.911 4.100 11 17 9 38 1 118.375 106.683 84.268 12 17 9 27 1 118.375 106.683 84.268 13 17 9 27 1 118.375 106.683 84.268 14 17 9 27 1 118.375 106.683 84.268 15 17 9 27 1 118.375 106.683 84.268 16 17 9 27 1 118.375 106.683 84.268 17 17 9 27 1 118.375 106.683 84.268 18 17 9 27 1 118.375 106.683 84.268 19 17 9 27 1 118.375 106.683 84.268 20 17 9 27 1 285.464 98.224 119.291 1 18 9 42 1 285.464 98.224 119.291 2 18 9 42 1 285.464 98.224 119.291 3 18 9 42 1 285.464 98.224 119.291 4 18 9 42 1 285.464 98.224 119.291 5 18 9 42 1 319.814 151.911 4.100 6 18 9 38 1 319.814 151.911 4.100 7 18 9 38 1 319.814 151.911 4.100 8 18 9 38 1 319.814 151.911 4.100 9 18 9 38 1 319.814 151.911 4.100 10 18 9 38 1 319.814 151.911 4.100 11 18 9 38 1 118.375 106.683 84.268 12 18 9 27 1 118.375 106.683 84.268 13 18 9 27 1 118.375 106.683 84.268 14 18 9 27 1 118.375 106.683 84.268 15 18 9 27 1 118.375 106.683 84.268 16 18 9 27 1 118.375 106.683 84.268 17 18 9 27 1 118.375 106.683 84.268 18 18 9 27 1 118.375 106.683 84.268 19 18 9 27 1 118.375 106.683 84.268 20 18 9 27 1 285.464 98.224 119.291 1 19 9 42 1 285.464 98.224 119.291 2 19 9 42 1 285.464 98.224 119.291 3 19 9 42 1 285.464 98.224 119.291 4 19 9 42 1 285.464 98.224 119.291 5 19 9 42 1 319.814 151.911 4.100 6 19 9 38 1 319.814 151.911 4.100 7 19 9 38 1 319.814 151.911 4.100 8 19 9 38 1 319.814 151.911 4.100 9 19 9 38 1 319.814 151.911 4.100 10 19 9 38 1 319.814 151.911 4.100 11 19 9 38 1 118.375 106.683 84.268 12 19 9 27 1 118.375 106.683 84.268 13 19 9 27 1 118.375 106.683 84.268 14 19 9 27 1 118.375 106.683 84.268 15 19 9 27 1 118.375 106.683 84.268 16 19 9 27 1 118.375 106.683 84.268 17 19 9 27 1 118.375 106.683 84.268 18 19 9 27 1 118.375 106.683 84.268 19 19 9 27 1 118.375 106.683 84.268 20 19 9 27 1 285.464 98.224 119.291 1 20 9 42 1 285.464 98.224 119.291 2 20 9 42 1 285.464 98.224 119.291 3 20 9 42 1 285.464 98.224 119.291 4 20 9 42 1 285.464 98.224 119.291 5 20 9 42 1 285.464 98.224 119.291 6 20 9 42 1 319.814 151.911 4.100 7 20 9 38 1 319.814 151.911 4.100 8 20 9 38 1 319.814 151.911 4.100 9 20 9 38 1 319.814 151.911 4.100 10 20 9 38 1 118.375 106.683 84.268 11 20 9 27 1 118.375 106.683 84.268 12 20 9 27 1 118.375 106.683 84.268 13 20 9 27 1 118.375 106.683 84.268 14 20 9 27 1 118.375 106.683 84.268 15 20 9 27 1 118.375 106.683 84.268 16 20 9 27 1 118.375 106.683 84.268 17 20 9 27 1 118.375 106.683 84.268 18 20 9 27 1 118.375 106.683 84.268 19 20 9 27 1 118.375 106.683 84.268 20 20 9 27 1 213.704 129.862 233.466 1 1 10 5 1 213.704 129.862 233.466 2 1 10 5 1 213.704 129.862 233.466 3 1 10 5 1 58.725 54.417 306.240 4 1 10 14 1 58.725 54.417 306.240 5 1 10 14 1 58.725 54.417 306.240 6 1 10 14 1 58.725 54.417 306.240 7 1 10 14 1 58.725 54.417 306.240 8 1 10 14 1 58.725 54.417 306.240 9 1 10 14 1 58.725 54.417 306.240 10 1 10 14 1 58.725 54.417 306.240 11 1 10 14 1 58.725 54.417 306.240 12 1 10 14 1 58.725 54.417 306.240 13 1 10 14 1 58.725 54.417 306.240 14 1 10 14 1 58.725 54.417 306.240 15 1 10 14 1 356.516 25.903 288.489 16 1 10 33 1 356.516 25.903 288.489 17 1 10 33 1 356.516 25.903 288.489 18 1 10 33 1 356.516 25.903 288.489 19 1 10 33 1 359.146 112.896 37.983 20 1 10 6 1 213.704 129.862 233.466 1 2 10 5 1 213.704 129.862 233.466 2 2 10 5 1 213.704 129.862 233.466 3 2 10 5 1 58.725 54.417 306.240 4 2 10 14 1 58.725 54.417 306.240 5 2 10 14 1 58.725 54.417 306.240 6 2 10 14 1 58.725 54.417 306.240 7 2 10 14 1 58.725 54.417 306.240 8 2 10 14 1 58.725 54.417 306.240 9 2 10 14 1 58.725 54.417 306.240 10 2 10 14 1 58.725 54.417 306.240 11 2 10 14 1 58.725 54.417 306.240 12 2 10 14 1 58.725 54.417 306.240 13 2 10 14 1 58.725 54.417 306.240 14 2 10 14 1 58.725 54.417 306.240 15 2 10 14 1 155.686 60.526 232.560 16 2 10 41 1 356.516 25.903 288.489 17 2 10 33 1 356.516 25.903 288.489 18 2 10 33 1 359.146 112.896 37.983 19 2 10 6 1 359.146 112.896 37.983 20 2 10 6 1 270.234 111.919 286.574 1 3 10 3 1 270.234 111.919 286.574 2 3 10 3 1 270.234 111.919 286.574 3 3 10 3 1 58.725 54.417 306.240 4 3 10 14 1 58.725 54.417 306.240 5 3 10 14 1 58.725 54.417 306.240 6 3 10 14 1 58.725 54.417 306.240 7 3 10 14 1 58.725 54.417 306.240 8 3 10 14 1 58.725 54.417 306.240 9 3 10 14 1 58.725 54.417 306.240 10 3 10 14 1 58.725 54.417 306.240 11 3 10 14 1 58.725 54.417 306.240 12 3 10 14 1 58.725 54.417 306.240 13 3 10 14 1 58.725 54.417 306.240 14 3 10 14 1 155.686 60.526 232.560 15 3 10 41 1 155.686 60.526 232.560 16 3 10 41 1 155.686 60.526 232.560 17 3 10 41 1 359.146 112.896 37.983 18 3 10 6 1 359.146 112.896 37.983 19 3 10 6 1 359.146 112.896 37.983 20 3 10 6 1 270.234 111.919 286.574 1 4 10 3 1 270.234 111.919 286.574 2 4 10 3 1 270.234 111.919 286.574 3 4 10 3 1 270.234 111.919 286.574 4 4 10 3 1 58.725 54.417 306.240 5 4 10 14 1 58.725 54.417 306.240 6 4 10 14 1 58.725 54.417 306.240 7 4 10 14 1 58.725 54.417 306.240 8 4 10 14 1 58.725 54.417 306.240 9 4 10 14 1 58.725 54.417 306.240 10 4 10 14 1 58.725 54.417 306.240 11 4 10 14 1 58.725 54.417 306.240 12 4 10 14 1 58.725 54.417 306.240 13 4 10 14 1 155.686 60.526 232.560 14 4 10 41 1 155.686 60.526 232.560 15 4 10 41 1 155.686 60.526 232.560 16 4 10 41 1 155.686 60.526 232.560 17 4 10 41 1 155.686 60.526 232.560 18 4 10 41 1 359.146 112.896 37.983 19 4 10 6 1 359.146 112.896 37.983 20 4 10 6 1 270.234 111.919 286.574 1 5 10 3 1 270.234 111.919 286.574 2 5 10 3 1 270.234 111.919 286.574 3 5 10 3 1 270.234 111.919 286.574 4 5 10 3 1 270.234 111.919 286.574 5 5 10 3 1 58.725 54.417 306.240 6 5 10 14 1 58.725 54.417 306.240 7 5 10 14 1 58.725 54.417 306.240 8 5 10 14 1 58.725 54.417 306.240 9 5 10 14 1 58.725 54.417 306.240 10 5 10 14 1 58.725 54.417 306.240 11 5 10 14 1 58.725 54.417 306.240 12 5 10 14 1 155.686 60.526 232.560 13 5 10 41 1 155.686 60.526 232.560 14 5 10 41 1 155.686 60.526 232.560 15 5 10 41 1 155.686 60.526 232.560 16 5 10 41 1 155.686 60.526 232.560 17 5 10 41 1 155.686 60.526 232.560 18 5 10 41 1 359.146 112.896 37.983 19 5 10 6 1 359.146 112.896 37.983 20 5 10 6 1 270.234 111.919 286.574 1 6 10 3 1 270.234 111.919 286.574 2 6 10 3 1 270.234 111.919 286.574 3 6 10 3 1 270.234 111.919 286.574 4 6 10 3 1 270.234 111.919 286.574 5 6 10 3 1 270.234 111.919 286.574 6 6 10 3 1 58.725 54.417 306.240 7 6 10 14 1 58.725 54.417 306.240 8 6 10 14 1 58.725 54.417 306.240 9 6 10 14 1 58.725 54.417 306.240 10 6 10 14 1 58.725 54.417 306.240 11 6 10 14 1 230.679 68.083 62.237 12 6 10 26 1 230.679 68.083 62.237 13 6 10 26 1 155.686 60.526 232.560 14 6 10 41 1 155.686 60.526 232.560 15 6 10 41 1 155.686 60.526 232.560 16 6 10 41 1 155.686 60.526 232.560 17 6 10 41 1 155.686 60.526 232.560 18 6 10 41 1 155.686 60.526 232.560 19 6 10 41 1 359.146 112.896 37.983 20 6 10 6 1 270.234 111.919 286.574 1 7 10 3 1 270.234 111.919 286.574 2 7 10 3 1 270.234 111.919 286.574 3 7 10 3 1 270.234 111.919 286.574 4 7 10 3 1 270.234 111.919 286.574 5 7 10 3 1 270.234 111.919 286.574 6 7 10 3 1 270.234 111.919 286.574 7 7 10 3 1 58.725 54.417 306.240 8 7 10 14 1 58.725 54.417 306.240 9 7 10 14 1 230.679 68.083 62.237 10 7 10 26 1 230.679 68.083 62.237 11 7 10 26 1 230.679 68.083 62.237 12 7 10 26 1 230.679 68.083 62.237 13 7 10 26 1 230.679 68.083 62.237 14 7 10 26 1 155.686 60.526 232.560 15 7 10 41 1 155.686 60.526 232.560 16 7 10 41 1 155.686 60.526 232.560 17 7 10 41 1 155.686 60.526 232.560 18 7 10 41 1 148.454 90.039 126.300 19 7 10 4 1 148.454 90.039 126.300 20 7 10 4 1 270.234 111.919 286.574 1 8 10 3 1 270.234 111.919 286.574 2 8 10 3 1 270.234 111.919 286.574 3 8 10 3 1 270.234 111.919 286.574 4 8 10 3 1 270.234 111.919 286.574 5 8 10 3 1 270.234 111.919 286.574 6 8 10 3 1 270.234 111.919 286.574 7 8 10 3 1 58.725 54.417 306.240 8 8 10 14 1 230.679 68.083 62.237 9 8 10 26 1 230.679 68.083 62.237 10 8 10 26 1 230.679 68.083 62.237 11 8 10 26 1 230.679 68.083 62.237 12 8 10 26 1 230.679 68.083 62.237 13 8 10 26 1 230.679 68.083 62.237 14 8 10 26 1 230.679 68.083 62.237 15 8 10 26 1 230.679 68.083 62.237 16 8 10 26 1 155.686 60.526 232.560 17 8 10 41 1 148.454 90.039 126.300 18 8 10 4 1 148.454 90.039 126.300 19 8 10 4 1 148.454 90.039 126.300 20 8 10 4 1 270.234 111.919 286.574 1 9 10 3 1 270.234 111.919 286.574 2 9 10 3 1 270.234 111.919 286.574 3 9 10 3 1 270.234 111.919 286.574 4 9 10 3 1 270.234 111.919 286.574 5 9 10 3 1 270.234 111.919 286.574 6 9 10 3 1 270.234 111.919 286.574 7 9 10 3 1 9.742 132.981 241.933 8 9 10 48 1 9.742 132.981 241.933 9 9 10 48 1 230.679 68.083 62.237 10 9 10 26 1 230.679 68.083 62.237 11 9 10 26 1 230.679 68.083 62.237 12 9 10 26 1 230.679 68.083 62.237 13 9 10 26 1 230.679 68.083 62.237 14 9 10 26 1 230.679 68.083 62.237 15 9 10 26 1 230.679 68.083 62.237 16 9 10 26 1 230.679 68.083 62.237 17 9 10 26 1 148.454 90.039 126.300 18 9 10 4 1 148.454 90.039 126.300 19 9 10 4 1 148.454 90.039 126.300 20 9 10 4 1 270.234 111.919 286.574 1 10 10 3 1 270.234 111.919 286.574 2 10 10 3 1 270.234 111.919 286.574 3 10 10 3 1 270.234 111.919 286.574 4 10 10 3 1 270.234 111.919 286.574 5 10 10 3 1 270.234 111.919 286.574 6 10 10 3 1 9.742 132.981 241.933 7 10 10 48 1 9.742 132.981 241.933 8 10 10 48 1 9.742 132.981 241.933 9 10 10 48 1 9.742 132.981 241.933 10 10 10 48 1 230.679 68.083 62.237 11 10 10 26 1 230.679 68.083 62.237 12 10 10 26 1 230.679 68.083 62.237 13 10 10 26 1 230.679 68.083 62.237 14 10 10 26 1 230.679 68.083 62.237 15 10 10 26 1 230.679 68.083 62.237 16 10 10 26 1 230.679 68.083 62.237 17 10 10 26 1 148.454 90.039 126.300 18 10 10 4 1 148.454 90.039 126.300 19 10 10 4 1 148.454 90.039 126.300 20 10 10 4 1 270.234 111.919 286.574 1 11 10 3 1 270.234 111.919 286.574 2 11 10 3 1 270.234 111.919 286.574 3 11 10 3 1 270.234 111.919 286.574 4 11 10 3 1 270.234 111.919 286.574 5 11 10 3 1 9.742 132.981 241.933 6 11 10 48 1 9.742 132.981 241.933 7 11 10 48 1 9.742 132.981 241.933 8 11 10 48 1 9.742 132.981 241.933 9 11 10 48 1 9.742 132.981 241.933 10 11 10 48 1 9.742 132.981 241.933 11 11 10 48 1 230.679 68.083 62.237 12 11 10 26 1 230.679 68.083 62.237 13 11 10 26 1 230.679 68.083 62.237 14 11 10 26 1 230.679 68.083 62.237 15 11 10 26 1 230.679 68.083 62.237 16 11 10 26 1 230.679 68.083 62.237 17 11 10 26 1 148.454 90.039 126.300 18 11 10 4 1 148.454 90.039 126.300 19 11 10 4 1 148.454 90.039 126.300 20 11 10 4 1 270.234 111.919 286.574 1 12 10 3 1 270.234 111.919 286.574 2 12 10 3 1 270.234 111.919 286.574 3 12 10 3 1 270.234 111.919 286.574 4 12 10 3 1 270.234 111.919 286.574 5 12 10 3 1 9.742 132.981 241.933 6 12 10 48 1 9.742 132.981 241.933 7 12 10 48 1 9.742 132.981 241.933 8 12 10 48 1 9.742 132.981 241.933 9 12 10 48 1 9.742 132.981 241.933 10 12 10 48 1 9.742 132.981 241.933 11 12 10 48 1 230.679 68.083 62.237 12 12 10 26 1 230.679 68.083 62.237 13 12 10 26 1 230.679 68.083 62.237 14 12 10 26 1 230.679 68.083 62.237 15 12 10 26 1 230.679 68.083 62.237 16 12 10 26 1 230.679 68.083 62.237 17 12 10 26 1 148.454 90.039 126.300 18 12 10 4 1 148.454 90.039 126.300 19 12 10 4 1 148.454 90.039 126.300 20 12 10 4 1 246.290 104.982 183.986 1 13 10 23 1 246.290 104.982 183.986 2 13 10 23 1 246.290 104.982 183.986 3 13 10 23 1 246.290 104.982 183.986 4 13 10 23 1 9.742 132.981 241.933 5 13 10 48 1 9.742 132.981 241.933 6 13 10 48 1 9.742 132.981 241.933 7 13 10 48 1 9.742 132.981 241.933 8 13 10 48 1 9.742 132.981 241.933 9 13 10 48 1 9.742 132.981 241.933 10 13 10 48 1 9.742 132.981 241.933 11 13 10 48 1 9.742 132.981 241.933 12 13 10 48 1 230.679 68.083 62.237 13 13 10 26 1 230.679 68.083 62.237 14 13 10 26 1 230.679 68.083 62.237 15 13 10 26 1 230.679 68.083 62.237 16 13 10 26 1 230.679 68.083 62.237 17 13 10 26 1 103.919 42.576 234.753 18 13 10 8 1 103.919 42.576 234.753 19 13 10 8 1 103.919 42.576 234.753 20 13 10 8 1 246.290 104.982 183.986 1 14 10 23 1 246.290 104.982 183.986 2 14 10 23 1 246.290 104.982 183.986 3 14 10 23 1 246.290 104.982 183.986 4 14 10 23 1 246.290 104.982 183.986 5 14 10 23 1 9.742 132.981 241.933 6 14 10 48 1 9.742 132.981 241.933 7 14 10 48 1 9.742 132.981 241.933 8 14 10 48 1 9.742 132.981 241.933 9 14 10 48 1 9.742 132.981 241.933 10 14 10 48 1 9.742 132.981 241.933 11 14 10 48 1 9.742 132.981 241.933 12 14 10 48 1 9.742 132.981 241.933 13 14 10 48 1 230.679 68.083 62.237 14 14 10 26 1 230.679 68.083 62.237 15 14 10 26 1 230.679 68.083 62.237 16 14 10 26 1 118.375 106.683 84.268 17 14 10 27 1 103.919 42.576 234.753 18 14 10 8 1 103.919 42.576 234.753 19 14 10 8 1 103.919 42.576 234.753 20 14 10 8 1 246.290 104.982 183.986 1 15 10 23 1 246.290 104.982 183.986 2 15 10 23 1 246.290 104.982 183.986 3 15 10 23 1 246.290 104.982 183.986 4 15 10 23 1 246.290 104.982 183.986 5 15 10 23 1 9.742 132.981 241.933 6 15 10 48 1 9.742 132.981 241.933 7 15 10 48 1 9.742 132.981 241.933 8 15 10 48 1 9.742 132.981 241.933 9 15 10 48 1 9.742 132.981 241.933 10 15 10 48 1 9.742 132.981 241.933 11 15 10 48 1 9.742 132.981 241.933 12 15 10 48 1 9.742 132.981 241.933 13 15 10 48 1 118.375 106.683 84.268 14 15 10 27 1 118.375 106.683 84.268 15 15 10 27 1 118.375 106.683 84.268 16 15 10 27 1 118.375 106.683 84.268 17 15 10 27 1 103.919 42.576 234.753 18 15 10 8 1 103.919 42.576 234.753 19 15 10 8 1 103.919 42.576 234.753 20 15 10 8 1 246.290 104.982 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1 319.814 151.911 4.100 9 17 10 38 1 319.814 151.911 4.100 10 17 10 38 1 319.814 151.911 4.100 11 17 10 38 1 118.375 106.683 84.268 12 17 10 27 1 118.375 106.683 84.268 13 17 10 27 1 118.375 106.683 84.268 14 17 10 27 1 118.375 106.683 84.268 15 17 10 27 1 118.375 106.683 84.268 16 17 10 27 1 118.375 106.683 84.268 17 17 10 27 1 118.375 106.683 84.268 18 17 10 27 1 118.375 106.683 84.268 19 17 10 27 1 118.375 106.683 84.268 20 17 10 27 1 285.464 98.224 119.291 1 18 10 42 1 285.464 98.224 119.291 2 18 10 42 1 285.464 98.224 119.291 3 18 10 42 1 285.464 98.224 119.291 4 18 10 42 1 285.464 98.224 119.291 5 18 10 42 1 319.814 151.911 4.100 6 18 10 38 1 319.814 151.911 4.100 7 18 10 38 1 319.814 151.911 4.100 8 18 10 38 1 319.814 151.911 4.100 9 18 10 38 1 319.814 151.911 4.100 10 18 10 38 1 319.814 151.911 4.100 11 18 10 38 1 118.375 106.683 84.268 12 18 10 27 1 118.375 106.683 84.268 13 18 10 27 1 118.375 106.683 84.268 14 18 10 27 1 118.375 106.683 84.268 15 18 10 27 1 118.375 106.683 84.268 16 18 10 27 1 118.375 106.683 84.268 17 18 10 27 1 118.375 106.683 84.268 18 18 10 27 1 118.375 106.683 84.268 19 18 10 27 1 118.375 106.683 84.268 20 18 10 27 1 285.464 98.224 119.291 1 19 10 42 1 285.464 98.224 119.291 2 19 10 42 1 285.464 98.224 119.291 3 19 10 42 1 285.464 98.224 119.291 4 19 10 42 1 285.464 98.224 119.291 5 19 10 42 1 319.814 151.911 4.100 6 19 10 38 1 319.814 151.911 4.100 7 19 10 38 1 319.814 151.911 4.100 8 19 10 38 1 319.814 151.911 4.100 9 19 10 38 1 319.814 151.911 4.100 10 19 10 38 1 319.814 151.911 4.100 11 19 10 38 1 118.375 106.683 84.268 12 19 10 27 1 118.375 106.683 84.268 13 19 10 27 1 118.375 106.683 84.268 14 19 10 27 1 118.375 106.683 84.268 15 19 10 27 1 118.375 106.683 84.268 16 19 10 27 1 118.375 106.683 84.268 17 19 10 27 1 118.375 106.683 84.268 18 19 10 27 1 118.375 106.683 84.268 19 19 10 27 1 118.375 106.683 84.268 20 19 10 27 1 285.464 98.224 119.291 1 20 10 42 1 285.464 98.224 119.291 2 20 10 42 1 285.464 98.224 119.291 3 20 10 42 1 285.464 98.224 119.291 4 20 10 42 1 285.464 98.224 119.291 5 20 10 42 1 285.464 98.224 119.291 6 20 10 42 1 319.814 151.911 4.100 7 20 10 38 1 319.814 151.911 4.100 8 20 10 38 1 319.814 151.911 4.100 9 20 10 38 1 319.814 151.911 4.100 10 20 10 38 1 118.375 106.683 84.268 11 20 10 27 1 118.375 106.683 84.268 12 20 10 27 1 118.375 106.683 84.268 13 20 10 27 1 118.375 106.683 84.268 14 20 10 27 1 118.375 106.683 84.268 15 20 10 27 1 118.375 106.683 84.268 16 20 10 27 1 118.375 106.683 84.268 17 20 10 27 1 118.375 106.683 84.268 18 20 10 27 1 118.375 106.683 84.268 19 20 10 27 1 118.375 106.683 84.268 20 20 10 27 1 213.704 129.862 233.466 1 1 11 5 1 213.704 129.862 233.466 2 1 11 5 1 213.704 129.862 233.466 3 1 11 5 1 213.704 129.862 233.466 4 1 11 5 1 213.704 129.862 233.466 5 1 11 5 1 58.725 54.417 306.240 6 1 11 14 1 58.725 54.417 306.240 7 1 11 14 1 58.725 54.417 306.240 8 1 11 14 1 58.725 54.417 306.240 9 1 11 14 1 58.725 54.417 306.240 10 1 11 14 1 58.725 54.417 306.240 11 1 11 14 1 58.725 54.417 306.240 12 1 11 14 1 58.725 54.417 306.240 13 1 11 14 1 58.725 54.417 306.240 14 1 11 14 1 58.725 54.417 306.240 15 1 11 14 1 155.686 60.526 232.560 16 1 11 41 1 359.146 112.896 37.983 17 1 11 6 1 359.146 112.896 37.983 18 1 11 6 1 359.146 112.896 37.983 19 1 11 6 1 359.146 112.896 37.983 20 1 11 6 1 213.704 129.862 233.466 1 2 11 5 1 213.704 129.862 233.466 2 2 11 5 1 213.704 129.862 233.466 3 2 11 5 1 213.704 129.862 233.466 4 2 11 5 1 213.704 129.862 233.466 5 2 11 5 1 58.725 54.417 306.240 6 2 11 14 1 58.725 54.417 306.240 7 2 11 14 1 58.725 54.417 306.240 8 2 11 14 1 58.725 54.417 306.240 9 2 11 14 1 58.725 54.417 306.240 10 2 11 14 1 58.725 54.417 306.240 11 2 11 14 1 58.725 54.417 306.240 12 2 11 14 1 58.725 54.417 306.240 13 2 11 14 1 58.725 54.417 306.240 14 2 11 14 1 155.686 60.526 232.560 15 2 11 41 1 155.686 60.526 232.560 16 2 11 41 1 359.146 112.896 37.983 17 2 11 6 1 359.146 112.896 37.983 18 2 11 6 1 359.146 112.896 37.983 19 2 11 6 1 359.146 112.896 37.983 20 2 11 6 1 213.704 129.862 233.466 1 3 11 5 1 213.704 129.862 233.466 2 3 11 5 1 213.704 129.862 233.466 3 3 11 5 1 213.704 129.862 233.466 4 3 11 5 1 213.704 129.862 233.466 5 3 11 5 1 58.725 54.417 306.240 6 3 11 14 1 58.725 54.417 306.240 7 3 11 14 1 58.725 54.417 306.240 8 3 11 14 1 58.725 54.417 306.240 9 3 11 14 1 58.725 54.417 306.240 10 3 11 14 1 58.725 54.417 306.240 11 3 11 14 1 58.725 54.417 306.240 12 3 11 14 1 58.725 54.417 306.240 13 3 11 14 1 155.686 60.526 232.560 14 3 11 41 1 155.686 60.526 232.560 15 3 11 41 1 155.686 60.526 232.560 16 3 11 41 1 155.686 60.526 232.560 17 3 11 41 1 359.146 112.896 37.983 18 3 11 6 1 359.146 112.896 37.983 19 3 11 6 1 359.146 112.896 37.983 20 3 11 6 1 270.234 111.919 286.574 1 4 11 3 1 270.234 111.919 286.574 2 4 11 3 1 270.234 111.919 286.574 3 4 11 3 1 213.704 129.862 233.466 4 4 11 5 1 213.704 129.862 233.466 5 4 11 5 1 58.725 54.417 306.240 6 4 11 14 1 58.725 54.417 306.240 7 4 11 14 1 58.725 54.417 306.240 8 4 11 14 1 58.725 54.417 306.240 9 4 11 14 1 58.725 54.417 306.240 10 4 11 14 1 58.725 54.417 306.240 11 4 11 14 1 58.725 54.417 306.240 12 4 11 14 1 58.725 54.417 306.240 13 4 11 14 1 155.686 60.526 232.560 14 4 11 41 1 155.686 60.526 232.560 15 4 11 41 1 155.686 60.526 232.560 16 4 11 41 1 155.686 60.526 232.560 17 4 11 41 1 359.146 112.896 37.983 18 4 11 6 1 359.146 112.896 37.983 19 4 11 6 1 359.146 112.896 37.983 20 4 11 6 1 270.234 111.919 286.574 1 5 11 3 1 270.234 111.919 286.574 2 5 11 3 1 270.234 111.919 286.574 3 5 11 3 1 270.234 111.919 286.574 4 5 11 3 1 270.234 111.919 286.574 5 5 11 3 1 58.725 54.417 306.240 6 5 11 14 1 58.725 54.417 306.240 7 5 11 14 1 58.725 54.417 306.240 8 5 11 14 1 58.725 54.417 306.240 9 5 11 14 1 58.725 54.417 306.240 10 5 11 14 1 58.725 54.417 306.240 11 5 11 14 1 58.725 54.417 306.240 12 5 11 14 1 155.686 60.526 232.560 13 5 11 41 1 155.686 60.526 232.560 14 5 11 41 1 155.686 60.526 232.560 15 5 11 41 1 155.686 60.526 232.560 16 5 11 41 1 155.686 60.526 232.560 17 5 11 41 1 155.686 60.526 232.560 18 5 11 41 1 359.146 112.896 37.983 19 5 11 6 1 359.146 112.896 37.983 20 5 11 6 1 270.234 111.919 286.574 1 6 11 3 1 270.234 111.919 286.574 2 6 11 3 1 270.234 111.919 286.574 3 6 11 3 1 270.234 111.919 286.574 4 6 11 3 1 270.234 111.919 286.574 5 6 11 3 1 270.234 111.919 286.574 6 6 11 3 1 58.725 54.417 306.240 7 6 11 14 1 58.725 54.417 306.240 8 6 11 14 1 58.725 54.417 306.240 9 6 11 14 1 58.725 54.417 306.240 10 6 11 14 1 58.725 54.417 306.240 11 6 11 14 1 230.679 68.083 62.237 12 6 11 26 1 155.686 60.526 232.560 13 6 11 41 1 155.686 60.526 232.560 14 6 11 41 1 155.686 60.526 232.560 15 6 11 41 1 155.686 60.526 232.560 16 6 11 41 1 155.686 60.526 232.560 17 6 11 41 1 155.686 60.526 232.560 18 6 11 41 1 155.686 60.526 232.560 19 6 11 41 1 359.146 112.896 37.983 20 6 11 6 1 270.234 111.919 286.574 1 7 11 3 1 270.234 111.919 286.574 2 7 11 3 1 270.234 111.919 286.574 3 7 11 3 1 270.234 111.919 286.574 4 7 11 3 1 270.234 111.919 286.574 5 7 11 3 1 270.234 111.919 286.574 6 7 11 3 1 270.234 111.919 286.574 7 7 11 3 1 58.725 54.417 306.240 8 7 11 14 1 58.725 54.417 306.240 9 7 11 14 1 230.679 68.083 62.237 10 7 11 26 1 230.679 68.083 62.237 11 7 11 26 1 230.679 68.083 62.237 12 7 11 26 1 230.679 68.083 62.237 13 7 11 26 1 155.686 60.526 232.560 14 7 11 41 1 155.686 60.526 232.560 15 7 11 41 1 155.686 60.526 232.560 16 7 11 41 1 155.686 60.526 232.560 17 7 11 41 1 155.686 60.526 232.560 18 7 11 41 1 155.686 60.526 232.560 19 7 11 41 1 148.454 90.039 126.300 20 7 11 4 1 270.234 111.919 286.574 1 8 11 3 1 270.234 111.919 286.574 2 8 11 3 1 270.234 111.919 286.574 3 8 11 3 1 270.234 111.919 286.574 4 8 11 3 1 270.234 111.919 286.574 5 8 11 3 1 270.234 111.919 286.574 6 8 11 3 1 270.234 111.919 286.574 7 8 11 3 1 58.725 54.417 306.240 8 8 11 14 1 230.679 68.083 62.237 9 8 11 26 1 230.679 68.083 62.237 10 8 11 26 1 230.679 68.083 62.237 11 8 11 26 1 230.679 68.083 62.237 12 8 11 26 1 230.679 68.083 62.237 13 8 11 26 1 230.679 68.083 62.237 14 8 11 26 1 230.679 68.083 62.237 15 8 11 26 1 155.686 60.526 232.560 16 8 11 41 1 155.686 60.526 232.560 17 8 11 41 1 155.686 60.526 232.560 18 8 11 41 1 148.454 90.039 126.300 19 8 11 4 1 148.454 90.039 126.300 20 8 11 4 1 270.234 111.919 286.574 1 9 11 3 1 270.234 111.919 286.574 2 9 11 3 1 270.234 111.919 286.574 3 9 11 3 1 270.234 111.919 286.574 4 9 11 3 1 270.234 111.919 286.574 5 9 11 3 1 270.234 111.919 286.574 6 9 11 3 1 270.234 111.919 286.574 7 9 11 3 1 9.742 132.981 241.933 8 9 11 48 1 9.742 132.981 241.933 9 9 11 48 1 230.679 68.083 62.237 10 9 11 26 1 230.679 68.083 62.237 11 9 11 26 1 230.679 68.083 62.237 12 9 11 26 1 230.679 68.083 62.237 13 9 11 26 1 230.679 68.083 62.237 14 9 11 26 1 230.679 68.083 62.237 15 9 11 26 1 230.679 68.083 62.237 16 9 11 26 1 230.679 68.083 62.237 17 9 11 26 1 148.454 90.039 126.300 18 9 11 4 1 148.454 90.039 126.300 19 9 11 4 1 148.454 90.039 126.300 20 9 11 4 1 270.234 111.919 286.574 1 10 11 3 1 270.234 111.919 286.574 2 10 11 3 1 270.234 111.919 286.574 3 10 11 3 1 270.234 111.919 286.574 4 10 11 3 1 270.234 111.919 286.574 5 10 11 3 1 270.234 111.919 286.574 6 10 11 3 1 9.742 132.981 241.933 7 10 11 48 1 9.742 132.981 241.933 8 10 11 48 1 9.742 132.981 241.933 9 10 11 48 1 9.742 132.981 241.933 10 10 11 48 1 230.679 68.083 62.237 11 10 11 26 1 230.679 68.083 62.237 12 10 11 26 1 230.679 68.083 62.237 13 10 11 26 1 230.679 68.083 62.237 14 10 11 26 1 230.679 68.083 62.237 15 10 11 26 1 230.679 68.083 62.237 16 10 11 26 1 230.679 68.083 62.237 17 10 11 26 1 148.454 90.039 126.300 18 10 11 4 1 148.454 90.039 126.300 19 10 11 4 1 148.454 90.039 126.300 20 10 11 4 1 270.234 111.919 286.574 1 11 11 3 1 270.234 111.919 286.574 2 11 11 3 1 270.234 111.919 286.574 3 11 11 3 1 270.234 111.919 286.574 4 11 11 3 1 270.234 111.919 286.574 5 11 11 3 1 9.742 132.981 241.933 6 11 11 48 1 9.742 132.981 241.933 7 11 11 48 1 9.742 132.981 241.933 8 11 11 48 1 9.742 132.981 241.933 9 11 11 48 1 9.742 132.981 241.933 10 11 11 48 1 9.742 132.981 241.933 11 11 11 48 1 230.679 68.083 62.237 12 11 11 26 1 230.679 68.083 62.237 13 11 11 26 1 230.679 68.083 62.237 14 11 11 26 1 230.679 68.083 62.237 15 11 11 26 1 230.679 68.083 62.237 16 11 11 26 1 230.679 68.083 62.237 17 11 11 26 1 148.454 90.039 126.300 18 11 11 4 1 148.454 90.039 126.300 19 11 11 4 1 148.454 90.039 126.300 20 11 11 4 1 270.234 111.919 286.574 1 12 11 3 1 270.234 111.919 286.574 2 12 11 3 1 270.234 111.919 286.574 3 12 11 3 1 270.234 111.919 286.574 4 12 11 3 1 270.234 111.919 286.574 5 12 11 3 1 9.742 132.981 241.933 6 12 11 48 1 9.742 132.981 241.933 7 12 11 48 1 9.742 132.981 241.933 8 12 11 48 1 9.742 132.981 241.933 9 12 11 48 1 9.742 132.981 241.933 10 12 11 48 1 9.742 132.981 241.933 11 12 11 48 1 230.679 68.083 62.237 12 12 11 26 1 230.679 68.083 62.237 13 12 11 26 1 230.679 68.083 62.237 14 12 11 26 1 230.679 68.083 62.237 15 12 11 26 1 230.679 68.083 62.237 16 12 11 26 1 230.679 68.083 62.237 17 12 11 26 1 148.454 90.039 126.300 18 12 11 4 1 148.454 90.039 126.300 19 12 11 4 1 148.454 90.039 126.300 20 12 11 4 1 246.290 104.982 183.986 1 13 11 23 1 246.290 104.982 183.986 2 13 11 23 1 246.290 104.982 183.986 3 13 11 23 1 246.290 104.982 183.986 4 13 11 23 1 246.290 104.982 183.986 5 13 11 23 1 9.742 132.981 241.933 6 13 11 48 1 9.742 132.981 241.933 7 13 11 48 1 9.742 132.981 241.933 8 13 11 48 1 9.742 132.981 241.933 9 13 11 48 1 9.742 132.981 241.933 10 13 11 48 1 9.742 132.981 241.933 11 13 11 48 1 9.742 132.981 241.933 12 13 11 48 1 230.679 68.083 62.237 13 13 11 26 1 230.679 68.083 62.237 14 13 11 26 1 230.679 68.083 62.237 15 13 11 26 1 230.679 68.083 62.237 16 13 11 26 1 230.679 68.083 62.237 17 13 11 26 1 103.919 42.576 234.753 18 13 11 8 1 103.919 42.576 234.753 19 13 11 8 1 103.919 42.576 234.753 20 13 11 8 1 246.290 104.982 183.986 1 14 11 23 1 246.290 104.982 183.986 2 14 11 23 1 246.290 104.982 183.986 3 14 11 23 1 246.290 104.982 183.986 4 14 11 23 1 246.290 104.982 183.986 5 14 11 23 1 9.742 132.981 241.933 6 14 11 48 1 9.742 132.981 241.933 7 14 11 48 1 9.742 132.981 241.933 8 14 11 48 1 9.742 132.981 241.933 9 14 11 48 1 9.742 132.981 241.933 10 14 11 48 1 9.742 132.981 241.933 11 14 11 48 1 9.742 132.981 241.933 12 14 11 48 1 9.742 132.981 241.933 13 14 11 48 1 230.679 68.083 62.237 14 14 11 26 1 230.679 68.083 62.237 15 14 11 26 1 307.313 113.083 57.838 16 14 11 19 1 103.919 42.576 234.753 17 14 11 8 1 103.919 42.576 234.753 18 14 11 8 1 103.919 42.576 234.753 19 14 11 8 1 103.919 42.576 234.753 20 14 11 8 1 246.290 104.982 183.986 1 15 11 23 1 246.290 104.982 183.986 2 15 11 23 1 246.290 104.982 183.986 3 15 11 23 1 246.290 104.982 183.986 4 15 11 23 1 246.290 104.982 183.986 5 15 11 23 1 9.742 132.981 241.933 6 15 11 48 1 9.742 132.981 241.933 7 15 11 48 1 9.742 132.981 241.933 8 15 11 48 1 9.742 132.981 241.933 9 15 11 48 1 9.742 132.981 241.933 10 15 11 48 1 9.742 132.981 241.933 11 15 11 48 1 9.742 132.981 241.933 12 15 11 48 1 9.742 132.981 241.933 13 15 11 48 1 118.375 106.683 84.268 14 15 11 27 1 118.375 106.683 84.268 15 15 11 27 1 307.313 113.083 57.838 16 15 11 19 1 118.375 106.683 84.268 17 15 11 27 1 103.919 42.576 234.753 18 15 11 8 1 103.919 42.576 234.753 19 15 11 8 1 103.919 42.576 234.753 20 15 11 8 1 246.290 104.982 183.986 1 16 11 23 1 246.290 104.982 183.986 2 16 11 23 1 246.290 104.982 183.986 3 16 11 23 1 246.290 104.982 183.986 4 16 11 23 1 246.290 104.982 183.986 5 16 11 23 1 246.290 104.982 183.986 6 16 11 23 1 9.742 132.981 241.933 7 16 11 48 1 9.742 132.981 241.933 8 16 11 48 1 9.742 132.981 241.933 9 16 11 48 1 9.742 132.981 241.933 10 16 11 48 1 9.742 132.981 241.933 11 16 11 48 1 9.742 132.981 241.933 12 16 11 48 1 118.375 106.683 84.268 13 16 11 27 1 118.375 106.683 84.268 14 16 11 27 1 118.375 106.683 84.268 15 16 11 27 1 118.375 106.683 84.268 16 16 11 27 1 118.375 106.683 84.268 17 16 11 27 1 118.375 106.683 84.268 18 16 11 27 1 103.919 42.576 234.753 19 16 11 8 1 103.919 42.576 234.753 20 16 11 8 1 246.290 104.982 183.986 1 17 11 23 1 246.290 104.982 183.986 2 17 11 23 1 246.290 104.982 183.986 3 17 11 23 1 246.290 104.982 183.986 4 17 11 23 1 246.290 104.982 183.986 5 17 11 23 1 246.290 104.982 183.986 6 17 11 23 1 319.814 151.911 4.100 7 17 11 38 1 319.814 151.911 4.100 8 17 11 38 1 319.814 151.911 4.100 9 17 11 38 1 9.742 132.981 241.933 10 17 11 48 1 9.742 132.981 241.933 11 17 11 48 1 193.199 106.176 102.671 12 17 11 29 1 118.375 106.683 84.268 13 17 11 27 1 118.375 106.683 84.268 14 17 11 27 1 118.375 106.683 84.268 15 17 11 27 1 118.375 106.683 84.268 16 17 11 27 1 118.375 106.683 84.268 17 17 11 27 1 118.375 106.683 84.268 18 17 11 27 1 118.375 106.683 84.268 19 17 11 27 1 103.919 42.576 234.753 20 17 11 8 1 246.290 104.982 183.986 1 18 11 23 1 246.290 104.982 183.986 2 18 11 23 1 246.290 104.982 183.986 3 18 11 23 1 246.290 104.982 183.986 4 18 11 23 1 246.290 104.982 183.986 5 18 11 23 1 246.290 104.982 183.986 6 18 11 23 1 319.814 151.911 4.100 7 18 11 38 1 319.814 151.911 4.100 8 18 11 38 1 319.814 151.911 4.100 9 18 11 38 1 319.814 151.911 4.100 10 18 11 38 1 193.199 106.176 102.671 11 18 11 29 1 118.375 106.683 84.268 12 18 11 27 1 118.375 106.683 84.268 13 18 11 27 1 118.375 106.683 84.268 14 18 11 27 1 118.375 106.683 84.268 15 18 11 27 1 118.375 106.683 84.268 16 18 11 27 1 118.375 106.683 84.268 17 18 11 27 1 118.375 106.683 84.268 18 18 11 27 1 118.375 106.683 84.268 19 18 11 27 1 118.375 106.683 84.268 20 18 11 27 1 285.464 98.224 119.291 1 19 11 42 1 285.464 98.224 119.291 2 19 11 42 1 285.464 98.224 119.291 3 19 11 42 1 285.464 98.224 119.291 4 19 11 42 1 285.464 98.224 119.291 5 19 11 42 1 140.911 146.459 236.524 6 19 11 28 1 319.814 151.911 4.100 7 19 11 38 1 319.814 151.911 4.100 8 19 11 38 1 319.814 151.911 4.100 9 19 11 38 1 319.814 151.911 4.100 10 19 11 38 1 193.199 106.176 102.671 11 19 11 29 1 118.375 106.683 84.268 12 19 11 27 1 118.375 106.683 84.268 13 19 11 27 1 118.375 106.683 84.268 14 19 11 27 1 118.375 106.683 84.268 15 19 11 27 1 118.375 106.683 84.268 16 19 11 27 1 118.375 106.683 84.268 17 19 11 27 1 118.375 106.683 84.268 18 19 11 27 1 118.375 106.683 84.268 19 19 11 27 1 118.375 106.683 84.268 20 19 11 27 1 285.464 98.224 119.291 1 20 11 42 1 285.464 98.224 119.291 2 20 11 42 1 285.464 98.224 119.291 3 20 11 42 1 285.464 98.224 119.291 4 20 11 42 1 140.911 146.459 236.524 5 20 11 28 1 140.911 146.459 236.524 6 20 11 28 1 140.911 146.459 236.524 7 20 11 28 1 319.814 151.911 4.100 8 20 11 38 1 319.814 151.911 4.100 9 20 11 38 1 319.814 151.911 4.100 10 20 11 38 1 118.375 106.683 84.268 11 20 11 27 1 118.375 106.683 84.268 12 20 11 27 1 118.375 106.683 84.268 13 20 11 27 1 118.375 106.683 84.268 14 20 11 27 1 118.375 106.683 84.268 15 20 11 27 1 118.375 106.683 84.268 16 20 11 27 1 118.375 106.683 84.268 17 20 11 27 1 118.375 106.683 84.268 18 20 11 27 1 118.375 106.683 84.268 19 20 11 27 1 118.375 106.683 84.268 20 20 11 27 1 213.704 129.862 233.466 1 1 12 5 1 213.704 129.862 233.466 2 1 12 5 1 213.704 129.862 233.466 3 1 12 5 1 213.704 129.862 233.466 4 1 12 5 1 213.704 129.862 233.466 5 1 12 5 1 213.704 129.862 233.466 6 1 12 5 1 58.725 54.417 306.240 7 1 12 14 1 58.725 54.417 306.240 8 1 12 14 1 58.725 54.417 306.240 9 1 12 14 1 58.725 54.417 306.240 10 1 12 14 1 58.725 54.417 306.240 11 1 12 14 1 58.725 54.417 306.240 12 1 12 14 1 58.725 54.417 306.240 13 1 12 14 1 58.725 54.417 306.240 14 1 12 14 1 58.725 54.417 306.240 15 1 12 14 1 359.146 112.896 37.983 16 1 12 6 1 359.146 112.896 37.983 17 1 12 6 1 359.146 112.896 37.983 18 1 12 6 1 359.146 112.896 37.983 19 1 12 6 1 359.146 112.896 37.983 20 1 12 6 1 213.704 129.862 233.466 1 2 12 5 1 213.704 129.862 233.466 2 2 12 5 1 213.704 129.862 233.466 3 2 12 5 1 213.704 129.862 233.466 4 2 12 5 1 213.704 129.862 233.466 5 2 12 5 1 213.704 129.862 233.466 6 2 12 5 1 58.725 54.417 306.240 7 2 12 14 1 58.725 54.417 306.240 8 2 12 14 1 58.725 54.417 306.240 9 2 12 14 1 58.725 54.417 306.240 10 2 12 14 1 58.725 54.417 306.240 11 2 12 14 1 58.725 54.417 306.240 12 2 12 14 1 58.725 54.417 306.240 13 2 12 14 1 58.725 54.417 306.240 14 2 12 14 1 155.686 60.526 232.560 15 2 12 41 1 359.146 112.896 37.983 16 2 12 6 1 359.146 112.896 37.983 17 2 12 6 1 359.146 112.896 37.983 18 2 12 6 1 359.146 112.896 37.983 19 2 12 6 1 359.146 112.896 37.983 20 2 12 6 1 213.704 129.862 233.466 1 3 12 5 1 213.704 129.862 233.466 2 3 12 5 1 213.704 129.862 233.466 3 3 12 5 1 213.704 129.862 233.466 4 3 12 5 1 213.704 129.862 233.466 5 3 12 5 1 213.704 129.862 233.466 6 3 12 5 1 58.725 54.417 306.240 7 3 12 14 1 58.725 54.417 306.240 8 3 12 14 1 58.725 54.417 306.240 9 3 12 14 1 58.725 54.417 306.240 10 3 12 14 1 58.725 54.417 306.240 11 3 12 14 1 58.725 54.417 306.240 12 3 12 14 1 58.725 54.417 306.240 13 3 12 14 1 155.686 60.526 232.560 14 3 12 41 1 155.686 60.526 232.560 15 3 12 41 1 155.686 60.526 232.560 16 3 12 41 1 359.146 112.896 37.983 17 3 12 6 1 359.146 112.896 37.983 18 3 12 6 1 359.146 112.896 37.983 19 3 12 6 1 359.146 112.896 37.983 20 3 12 6 1 213.704 129.862 233.466 1 4 12 5 1 213.704 129.862 233.466 2 4 12 5 1 213.704 129.862 233.466 3 4 12 5 1 213.704 129.862 233.466 4 4 12 5 1 213.704 129.862 233.466 5 4 12 5 1 213.704 129.862 233.466 6 4 12 5 1 58.725 54.417 306.240 7 4 12 14 1 58.725 54.417 306.240 8 4 12 14 1 58.725 54.417 306.240 9 4 12 14 1 58.725 54.417 306.240 10 4 12 14 1 58.725 54.417 306.240 11 4 12 14 1 58.725 54.417 306.240 12 4 12 14 1 155.686 60.526 232.560 13 4 12 41 1 155.686 60.526 232.560 14 4 12 41 1 155.686 60.526 232.560 15 4 12 41 1 155.686 60.526 232.560 16 4 12 41 1 155.686 60.526 232.560 17 4 12 41 1 359.146 112.896 37.983 18 4 12 6 1 359.146 112.896 37.983 19 4 12 6 1 359.146 112.896 37.983 20 4 12 6 1 270.234 111.919 286.574 1 5 12 3 1 270.234 111.919 286.574 2 5 12 3 1 270.234 111.919 286.574 3 5 12 3 1 213.704 129.862 233.466 4 5 12 5 1 213.704 129.862 233.466 5 5 12 5 1 213.704 129.862 233.466 6 5 12 5 1 58.725 54.417 306.240 7 5 12 14 1 58.725 54.417 306.240 8 5 12 14 1 58.725 54.417 306.240 9 5 12 14 1 58.725 54.417 306.240 10 5 12 14 1 58.725 54.417 306.240 11 5 12 14 1 58.725 54.417 306.240 12 5 12 14 1 155.686 60.526 232.560 13 5 12 41 1 155.686 60.526 232.560 14 5 12 41 1 155.686 60.526 232.560 15 5 12 41 1 155.686 60.526 232.560 16 5 12 41 1 155.686 60.526 232.560 17 5 12 41 1 155.686 60.526 232.560 18 5 12 41 1 359.146 112.896 37.983 19 5 12 6 1 359.146 112.896 37.983 20 5 12 6 1 270.234 111.919 286.574 1 6 12 3 1 270.234 111.919 286.574 2 6 12 3 1 270.234 111.919 286.574 3 6 12 3 1 270.234 111.919 286.574 4 6 12 3 1 270.234 111.919 286.574 5 6 12 3 1 270.234 111.919 286.574 6 6 12 3 1 58.725 54.417 306.240 7 6 12 14 1 58.725 54.417 306.240 8 6 12 14 1 58.725 54.417 306.240 9 6 12 14 1 58.725 54.417 306.240 10 6 12 14 1 58.725 54.417 306.240 11 6 12 14 1 155.686 60.526 232.560 12 6 12 41 1 155.686 60.526 232.560 13 6 12 41 1 155.686 60.526 232.560 14 6 12 41 1 155.686 60.526 232.560 15 6 12 41 1 155.686 60.526 232.560 16 6 12 41 1 155.686 60.526 232.560 17 6 12 41 1 155.686 60.526 232.560 18 6 12 41 1 359.146 112.896 37.983 19 6 12 6 1 359.146 112.896 37.983 20 6 12 6 1 270.234 111.919 286.574 1 7 12 3 1 270.234 111.919 286.574 2 7 12 3 1 270.234 111.919 286.574 3 7 12 3 1 270.234 111.919 286.574 4 7 12 3 1 270.234 111.919 286.574 5 7 12 3 1 270.234 111.919 286.574 6 7 12 3 1 270.234 111.919 286.574 7 7 12 3 1 58.725 54.417 306.240 8 7 12 14 1 206.865 60.889 308.280 9 7 12 43 1 206.865 60.889 308.280 10 7 12 43 1 230.679 68.083 62.237 11 7 12 26 1 230.679 68.083 62.237 12 7 12 26 1 155.686 60.526 232.560 13 7 12 41 1 155.686 60.526 232.560 14 7 12 41 1 155.686 60.526 232.560 15 7 12 41 1 155.686 60.526 232.560 16 7 12 41 1 155.686 60.526 232.560 17 7 12 41 1 155.686 60.526 232.560 18 7 12 41 1 155.686 60.526 232.560 19 7 12 41 1 359.146 112.896 37.983 20 7 12 6 1 270.234 111.919 286.574 1 8 12 3 1 270.234 111.919 286.574 2 8 12 3 1 270.234 111.919 286.574 3 8 12 3 1 270.234 111.919 286.574 4 8 12 3 1 270.234 111.919 286.574 5 8 12 3 1 270.234 111.919 286.574 6 8 12 3 1 270.234 111.919 286.574 7 8 12 3 1 270.234 111.919 286.574 8 8 12 3 1 230.679 68.083 62.237 9 8 12 26 1 230.679 68.083 62.237 10 8 12 26 1 230.679 68.083 62.237 11 8 12 26 1 230.679 68.083 62.237 12 8 12 26 1 230.679 68.083 62.237 13 8 12 26 1 230.679 68.083 62.237 14 8 12 26 1 155.686 60.526 232.560 15 8 12 41 1 155.686 60.526 232.560 16 8 12 41 1 155.686 60.526 232.560 17 8 12 41 1 155.686 60.526 232.560 18 8 12 41 1 155.686 60.526 232.560 19 8 12 41 1 148.454 90.039 126.300 20 8 12 4 1 270.234 111.919 286.574 1 9 12 3 1 270.234 111.919 286.574 2 9 12 3 1 270.234 111.919 286.574 3 9 12 3 1 270.234 111.919 286.574 4 9 12 3 1 270.234 111.919 286.574 5 9 12 3 1 270.234 111.919 286.574 6 9 12 3 1 270.234 111.919 286.574 7 9 12 3 1 9.742 132.981 241.933 8 9 12 48 1 230.679 68.083 62.237 9 9 12 26 1 230.679 68.083 62.237 10 9 12 26 1 230.679 68.083 62.237 11 9 12 26 1 230.679 68.083 62.237 12 9 12 26 1 230.679 68.083 62.237 13 9 12 26 1 230.679 68.083 62.237 14 9 12 26 1 230.679 68.083 62.237 15 9 12 26 1 230.679 68.083 62.237 16 9 12 26 1 155.686 60.526 232.560 17 9 12 41 1 155.686 60.526 232.560 18 9 12 41 1 148.454 90.039 126.300 19 9 12 4 1 148.454 90.039 126.300 20 9 12 4 1 270.234 111.919 286.574 1 10 12 3 1 270.234 111.919 286.574 2 10 12 3 1 270.234 111.919 286.574 3 10 12 3 1 270.234 111.919 286.574 4 10 12 3 1 270.234 111.919 286.574 5 10 12 3 1 270.234 111.919 286.574 6 10 12 3 1 9.742 132.981 241.933 7 10 12 48 1 9.742 132.981 241.933 8 10 12 48 1 9.742 132.981 241.933 9 10 12 48 1 230.679 68.083 62.237 10 10 12 26 1 230.679 68.083 62.237 11 10 12 26 1 230.679 68.083 62.237 12 10 12 26 1 230.679 68.083 62.237 13 10 12 26 1 230.679 68.083 62.237 14 10 12 26 1 230.679 68.083 62.237 15 10 12 26 1 230.679 68.083 62.237 16 10 12 26 1 230.679 68.083 62.237 17 10 12 26 1 148.454 90.039 126.300 18 10 12 4 1 148.454 90.039 126.300 19 10 12 4 1 148.454 90.039 126.300 20 10 12 4 1 270.234 111.919 286.574 1 11 12 3 1 270.234 111.919 286.574 2 11 12 3 1 270.234 111.919 286.574 3 11 12 3 1 270.234 111.919 286.574 4 11 12 3 1 270.234 111.919 286.574 5 11 12 3 1 9.742 132.981 241.933 6 11 12 48 1 9.742 132.981 241.933 7 11 12 48 1 9.742 132.981 241.933 8 11 12 48 1 9.742 132.981 241.933 9 11 12 48 1 9.742 132.981 241.933 10 11 12 48 1 230.679 68.083 62.237 11 11 12 26 1 230.679 68.083 62.237 12 11 12 26 1 230.679 68.083 62.237 13 11 12 26 1 230.679 68.083 62.237 14 11 12 26 1 230.679 68.083 62.237 15 11 12 26 1 230.679 68.083 62.237 16 11 12 26 1 230.679 68.083 62.237 17 11 12 26 1 148.454 90.039 126.300 18 11 12 4 1 148.454 90.039 126.300 19 11 12 4 1 148.454 90.039 126.300 20 11 12 4 1 246.290 104.982 183.986 1 12 12 23 1 246.290 104.982 183.986 2 12 12 23 1 246.290 104.982 183.986 3 12 12 23 1 246.290 104.982 183.986 4 12 12 23 1 270.234 111.919 286.574 5 12 12 3 1 9.742 132.981 241.933 6 12 12 48 1 9.742 132.981 241.933 7 12 12 48 1 9.742 132.981 241.933 8 12 12 48 1 9.742 132.981 241.933 9 12 12 48 1 9.742 132.981 241.933 10 12 12 48 1 9.742 132.981 241.933 11 12 12 48 1 230.679 68.083 62.237 12 12 12 26 1 230.679 68.083 62.237 13 12 12 26 1 230.679 68.083 62.237 14 12 12 26 1 230.679 68.083 62.237 15 12 12 26 1 230.679 68.083 62.237 16 12 12 26 1 230.679 68.083 62.237 17 12 12 26 1 148.454 90.039 126.300 18 12 12 4 1 148.454 90.039 126.300 19 12 12 4 1 148.454 90.039 126.300 20 12 12 4 1 246.290 104.982 183.986 1 13 12 23 1 246.290 104.982 183.986 2 13 12 23 1 246.290 104.982 183.986 3 13 12 23 1 246.290 104.982 183.986 4 13 12 23 1 246.290 104.982 183.986 5 13 12 23 1 9.742 132.981 241.933 6 13 12 48 1 9.742 132.981 241.933 7 13 12 48 1 9.742 132.981 241.933 8 13 12 48 1 9.742 132.981 241.933 9 13 12 48 1 9.742 132.981 241.933 10 13 12 48 1 9.742 132.981 241.933 11 13 12 48 1 9.742 132.981 241.933 12 13 12 48 1 230.679 68.083 62.237 13 13 12 26 1 230.679 68.083 62.237 14 13 12 26 1 230.679 68.083 62.237 15 13 12 26 1 230.679 68.083 62.237 16 13 12 26 1 307.313 113.083 57.838 17 13 12 19 1 103.919 42.576 234.753 18 13 12 8 1 103.919 42.576 234.753 19 13 12 8 1 103.919 42.576 234.753 20 13 12 8 1 246.290 104.982 183.986 1 14 12 23 1 246.290 104.982 183.986 2 14 12 23 1 246.290 104.982 183.986 3 14 12 23 1 246.290 104.982 183.986 4 14 12 23 1 246.290 104.982 183.986 5 14 12 23 1 9.742 132.981 241.933 6 14 12 48 1 9.742 132.981 241.933 7 14 12 48 1 9.742 132.981 241.933 8 14 12 48 1 9.742 132.981 241.933 9 14 12 48 1 9.742 132.981 241.933 10 14 12 48 1 9.742 132.981 241.933 11 14 12 48 1 9.742 132.981 241.933 12 14 12 48 1 9.742 132.981 241.933 13 14 12 48 1 307.313 113.083 57.838 14 14 12 19 1 307.313 113.083 57.838 15 14 12 19 1 307.313 113.083 57.838 16 14 12 19 1 307.313 113.083 57.838 17 14 12 19 1 307.313 113.083 57.838 18 14 12 19 1 103.919 42.576 234.753 19 14 12 8 1 103.919 42.576 234.753 20 14 12 8 1 246.290 104.982 183.986 1 15 12 23 1 246.290 104.982 183.986 2 15 12 23 1 246.290 104.982 183.986 3 15 12 23 1 246.290 104.982 183.986 4 15 12 23 1 246.290 104.982 183.986 5 15 12 23 1 246.290 104.982 183.986 6 15 12 23 1 193.199 106.176 102.671 7 15 12 29 1 193.199 106.176 102.671 8 15 12 29 1 193.199 106.176 102.671 9 15 12 29 1 193.199 106.176 102.671 10 15 12 29 1 193.199 106.176 102.671 11 15 12 29 1 193.199 106.176 102.671 12 15 12 29 1 193.199 106.176 102.671 13 15 12 29 1 307.313 113.083 57.838 14 15 12 19 1 307.313 113.083 57.838 15 15 12 19 1 307.313 113.083 57.838 16 15 12 19 1 307.313 113.083 57.838 17 15 12 19 1 307.313 113.083 57.838 18 15 12 19 1 103.919 42.576 234.753 19 15 12 8 1 103.919 42.576 234.753 20 15 12 8 1 246.290 104.982 183.986 1 16 12 23 1 246.290 104.982 183.986 2 16 12 23 1 246.290 104.982 183.986 3 16 12 23 1 246.290 104.982 183.986 4 16 12 23 1 246.290 104.982 183.986 5 16 12 23 1 246.290 104.982 183.986 6 16 12 23 1 193.199 106.176 102.671 7 16 12 29 1 193.199 106.176 102.671 8 16 12 29 1 193.199 106.176 102.671 9 16 12 29 1 193.199 106.176 102.671 10 16 12 29 1 193.199 106.176 102.671 11 16 12 29 1 193.199 106.176 102.671 12 16 12 29 1 193.199 106.176 102.671 13 16 12 29 1 307.313 113.083 57.838 14 16 12 19 1 307.313 113.083 57.838 15 16 12 19 1 307.313 113.083 57.838 16 16 12 19 1 307.313 113.083 57.838 17 16 12 19 1 307.313 113.083 57.838 18 16 12 19 1 103.919 42.576 234.753 19 16 12 8 1 103.919 42.576 234.753 20 16 12 8 1 246.290 104.982 183.986 1 17 12 23 1 246.290 104.982 183.986 2 17 12 23 1 246.290 104.982 183.986 3 17 12 23 1 246.290 104.982 183.986 4 17 12 23 1 246.290 104.982 183.986 5 17 12 23 1 246.290 104.982 183.986 6 17 12 23 1 193.199 106.176 102.671 7 17 12 29 1 193.199 106.176 102.671 8 17 12 29 1 193.199 106.176 102.671 9 17 12 29 1 193.199 106.176 102.671 10 17 12 29 1 193.199 106.176 102.671 11 17 12 29 1 193.199 106.176 102.671 12 17 12 29 1 193.199 106.176 102.671 13 17 12 29 1 307.313 113.083 57.838 14 17 12 19 1 307.313 113.083 57.838 15 17 12 19 1 307.313 113.083 57.838 16 17 12 19 1 307.313 113.083 57.838 17 17 12 19 1 307.313 113.083 57.838 18 17 12 19 1 307.313 113.083 57.838 19 17 12 19 1 103.919 42.576 234.753 20 17 12 8 1 246.290 104.982 183.986 1 18 12 23 1 246.290 104.982 183.986 2 18 12 23 1 246.290 104.982 183.986 3 18 12 23 1 246.290 104.982 183.986 4 18 12 23 1 140.911 146.459 236.524 5 18 12 28 1 140.911 146.459 236.524 6 18 12 28 1 140.911 146.459 236.524 7 18 12 28 1 193.199 106.176 102.671 8 18 12 29 1 193.199 106.176 102.671 9 18 12 29 1 193.199 106.176 102.671 10 18 12 29 1 193.199 106.176 102.671 11 18 12 29 1 193.199 106.176 102.671 12 18 12 29 1 193.199 106.176 102.671 13 18 12 29 1 307.313 113.083 57.838 14 18 12 19 1 307.313 113.083 57.838 15 18 12 19 1 307.313 113.083 57.838 16 18 12 19 1 307.313 113.083 57.838 17 18 12 19 1 307.313 113.083 57.838 18 18 12 19 1 118.375 106.683 84.268 19 18 12 27 1 118.375 106.683 84.268 20 18 12 27 1 246.290 104.982 183.986 1 19 12 23 1 140.911 146.459 236.524 2 19 12 28 1 140.911 146.459 236.524 3 19 12 28 1 140.911 146.459 236.524 4 19 12 28 1 140.911 146.459 236.524 5 19 12 28 1 140.911 146.459 236.524 6 19 12 28 1 140.911 146.459 236.524 7 19 12 28 1 193.199 106.176 102.671 8 19 12 29 1 193.199 106.176 102.671 9 19 12 29 1 193.199 106.176 102.671 10 19 12 29 1 193.199 106.176 102.671 11 19 12 29 1 193.199 106.176 102.671 12 19 12 29 1 193.199 106.176 102.671 13 19 12 29 1 118.375 106.683 84.268 14 19 12 27 1 118.375 106.683 84.268 15 19 12 27 1 307.313 113.083 57.838 16 19 12 19 1 118.375 106.683 84.268 17 19 12 27 1 118.375 106.683 84.268 18 19 12 27 1 118.375 106.683 84.268 19 19 12 27 1 118.375 106.683 84.268 20 19 12 27 1 140.911 146.459 236.524 1 20 12 28 1 140.911 146.459 236.524 2 20 12 28 1 140.911 146.459 236.524 3 20 12 28 1 140.911 146.459 236.524 4 20 12 28 1 140.911 146.459 236.524 5 20 12 28 1 140.911 146.459 236.524 6 20 12 28 1 140.911 146.459 236.524 7 20 12 28 1 140.911 146.459 236.524 8 20 12 28 1 193.199 106.176 102.671 9 20 12 29 1 193.199 106.176 102.671 10 20 12 29 1 193.199 106.176 102.671 11 20 12 29 1 193.199 106.176 102.671 12 20 12 29 1 118.375 106.683 84.268 13 20 12 27 1 118.375 106.683 84.268 14 20 12 27 1 118.375 106.683 84.268 15 20 12 27 1 118.375 106.683 84.268 16 20 12 27 1 118.375 106.683 84.268 17 20 12 27 1 118.375 106.683 84.268 18 20 12 27 1 118.375 106.683 84.268 19 20 12 27 1 118.375 106.683 84.268 20 20 12 27 1 213.704 129.862 233.466 1 1 13 5 1 213.704 129.862 233.466 2 1 13 5 1 213.704 129.862 233.466 3 1 13 5 1 213.704 129.862 233.466 4 1 13 5 1 213.704 129.862 233.466 5 1 13 5 1 213.704 129.862 233.466 6 1 13 5 1 213.704 129.862 233.466 7 1 13 5 1 58.725 54.417 306.240 8 1 13 14 1 58.725 54.417 306.240 9 1 13 14 1 58.725 54.417 306.240 10 1 13 14 1 58.725 54.417 306.240 11 1 13 14 1 58.725 54.417 306.240 12 1 13 14 1 58.725 54.417 306.240 13 1 13 14 1 58.725 54.417 306.240 14 1 13 14 1 155.686 60.526 232.560 15 1 13 41 1 359.146 112.896 37.983 16 1 13 6 1 359.146 112.896 37.983 17 1 13 6 1 359.146 112.896 37.983 18 1 13 6 1 359.146 112.896 37.983 19 1 13 6 1 359.146 112.896 37.983 20 1 13 6 1 213.704 129.862 233.466 1 2 13 5 1 213.704 129.862 233.466 2 2 13 5 1 213.704 129.862 233.466 3 2 13 5 1 213.704 129.862 233.466 4 2 13 5 1 213.704 129.862 233.466 5 2 13 5 1 213.704 129.862 233.466 6 2 13 5 1 213.704 129.862 233.466 7 2 13 5 1 58.725 54.417 306.240 8 2 13 14 1 58.725 54.417 306.240 9 2 13 14 1 58.725 54.417 306.240 10 2 13 14 1 58.725 54.417 306.240 11 2 13 14 1 58.725 54.417 306.240 12 2 13 14 1 58.725 54.417 306.240 13 2 13 14 1 155.686 60.526 232.560 14 2 13 41 1 155.686 60.526 232.560 15 2 13 41 1 359.146 112.896 37.983 16 2 13 6 1 359.146 112.896 37.983 17 2 13 6 1 359.146 112.896 37.983 18 2 13 6 1 359.146 112.896 37.983 19 2 13 6 1 359.146 112.896 37.983 20 2 13 6 1 213.704 129.862 233.466 1 3 13 5 1 213.704 129.862 233.466 2 3 13 5 1 213.704 129.862 233.466 3 3 13 5 1 213.704 129.862 233.466 4 3 13 5 1 213.704 129.862 233.466 5 3 13 5 1 213.704 129.862 233.466 6 3 13 5 1 213.704 129.862 233.466 7 3 13 5 1 58.725 54.417 306.240 8 3 13 14 1 58.725 54.417 306.240 9 3 13 14 1 58.725 54.417 306.240 10 3 13 14 1 58.725 54.417 306.240 11 3 13 14 1 58.725 54.417 306.240 12 3 13 14 1 58.725 54.417 306.240 13 3 13 14 1 155.686 60.526 232.560 14 3 13 41 1 155.686 60.526 232.560 15 3 13 41 1 155.686 60.526 232.560 16 3 13 41 1 359.146 112.896 37.983 17 3 13 6 1 359.146 112.896 37.983 18 3 13 6 1 359.146 112.896 37.983 19 3 13 6 1 359.146 112.896 37.983 20 3 13 6 1 213.704 129.862 233.466 1 4 13 5 1 213.704 129.862 233.466 2 4 13 5 1 213.704 129.862 233.466 3 4 13 5 1 213.704 129.862 233.466 4 4 13 5 1 213.704 129.862 233.466 5 4 13 5 1 213.704 129.862 233.466 6 4 13 5 1 213.704 129.862 233.466 7 4 13 5 1 58.725 54.417 306.240 8 4 13 14 1 58.725 54.417 306.240 9 4 13 14 1 58.725 54.417 306.240 10 4 13 14 1 58.725 54.417 306.240 11 4 13 14 1 58.725 54.417 306.240 12 4 13 14 1 155.686 60.526 232.560 13 4 13 41 1 155.686 60.526 232.560 14 4 13 41 1 155.686 60.526 232.560 15 4 13 41 1 155.686 60.526 232.560 16 4 13 41 1 155.686 60.526 232.560 17 4 13 41 1 359.146 112.896 37.983 18 4 13 6 1 359.146 112.896 37.983 19 4 13 6 1 359.146 112.896 37.983 20 4 13 6 1 270.234 111.919 286.574 1 5 13 3 1 213.704 129.862 233.466 2 5 13 5 1 213.704 129.862 233.466 3 5 13 5 1 213.704 129.862 233.466 4 5 13 5 1 213.704 129.862 233.466 5 5 13 5 1 213.704 129.862 233.466 6 5 13 5 1 213.704 129.862 233.466 7 5 13 5 1 58.725 54.417 306.240 8 5 13 14 1 206.865 60.889 308.280 9 5 13 43 1 206.865 60.889 308.280 10 5 13 43 1 206.865 60.889 308.280 11 5 13 43 1 206.865 60.889 308.280 12 5 13 43 1 155.686 60.526 232.560 13 5 13 41 1 155.686 60.526 232.560 14 5 13 41 1 155.686 60.526 232.560 15 5 13 41 1 155.686 60.526 232.560 16 5 13 41 1 155.686 60.526 232.560 17 5 13 41 1 359.146 112.896 37.983 18 5 13 6 1 359.146 112.896 37.983 19 5 13 6 1 359.146 112.896 37.983 20 5 13 6 1 270.234 111.919 286.574 1 6 13 3 1 270.234 111.919 286.574 2 6 13 3 1 270.234 111.919 286.574 3 6 13 3 1 270.234 111.919 286.574 4 6 13 3 1 270.234 111.919 286.574 5 6 13 3 1 213.704 129.862 233.466 6 6 13 5 1 206.865 60.889 308.280 7 6 13 43 1 206.865 60.889 308.280 8 6 13 43 1 206.865 60.889 308.280 9 6 13 43 1 206.865 60.889 308.280 10 6 13 43 1 206.865 60.889 308.280 11 6 13 43 1 206.865 60.889 308.280 12 6 13 43 1 155.686 60.526 232.560 13 6 13 41 1 155.686 60.526 232.560 14 6 13 41 1 155.686 60.526 232.560 15 6 13 41 1 155.686 60.526 232.560 16 6 13 41 1 155.686 60.526 232.560 17 6 13 41 1 155.686 60.526 232.560 18 6 13 41 1 359.146 112.896 37.983 19 6 13 6 1 359.146 112.896 37.983 20 6 13 6 1 270.234 111.919 286.574 1 7 13 3 1 270.234 111.919 286.574 2 7 13 3 1 270.234 111.919 286.574 3 7 13 3 1 270.234 111.919 286.574 4 7 13 3 1 270.234 111.919 286.574 5 7 13 3 1 270.234 111.919 286.574 6 7 13 3 1 206.865 60.889 308.280 7 7 13 43 1 206.865 60.889 308.280 8 7 13 43 1 206.865 60.889 308.280 9 7 13 43 1 206.865 60.889 308.280 10 7 13 43 1 206.865 60.889 308.280 11 7 13 43 1 230.679 68.083 62.237 12 7 13 26 1 155.686 60.526 232.560 13 7 13 41 1 155.686 60.526 232.560 14 7 13 41 1 155.686 60.526 232.560 15 7 13 41 1 155.686 60.526 232.560 16 7 13 41 1 155.686 60.526 232.560 17 7 13 41 1 155.686 60.526 232.560 18 7 13 41 1 155.686 60.526 232.560 19 7 13 41 1 359.146 112.896 37.983 20 7 13 6 1 270.234 111.919 286.574 1 8 13 3 1 270.234 111.919 286.574 2 8 13 3 1 270.234 111.919 286.574 3 8 13 3 1 270.234 111.919 286.574 4 8 13 3 1 270.234 111.919 286.574 5 8 13 3 1 270.234 111.919 286.574 6 8 13 3 1 270.234 111.919 286.574 7 8 13 3 1 206.865 60.889 308.280 8 8 13 43 1 206.865 60.889 308.280 9 8 13 43 1 206.865 60.889 308.280 10 8 13 43 1 230.679 68.083 62.237 11 8 13 26 1 230.679 68.083 62.237 12 8 13 26 1 230.679 68.083 62.237 13 8 13 26 1 155.686 60.526 232.560 14 8 13 41 1 155.686 60.526 232.560 15 8 13 41 1 155.686 60.526 232.560 16 8 13 41 1 155.686 60.526 232.560 17 8 13 41 1 155.686 60.526 232.560 18 8 13 41 1 155.686 60.526 232.560 19 8 13 41 1 148.454 90.039 126.300 20 8 13 4 1 195.836 46.286 27.037 1 9 13 34 1 195.836 46.286 27.037 2 9 13 34 1 195.836 46.286 27.037 3 9 13 34 1 270.234 111.919 286.574 4 9 13 3 1 270.234 111.919 286.574 5 9 13 3 1 270.234 111.919 286.574 6 9 13 3 1 61.871 127.308 31.203 7 9 13 16 1 61.871 127.308 31.203 8 9 13 16 1 230.679 68.083 62.237 9 9 13 26 1 230.679 68.083 62.237 10 9 13 26 1 230.679 68.083 62.237 11 9 13 26 1 230.679 68.083 62.237 12 9 13 26 1 230.679 68.083 62.237 13 9 13 26 1 230.679 68.083 62.237 14 9 13 26 1 230.679 68.083 62.237 15 9 13 26 1 155.686 60.526 232.560 16 9 13 41 1 155.686 60.526 232.560 17 9 13 41 1 155.686 60.526 232.560 18 9 13 41 1 155.686 60.526 232.560 19 9 13 41 1 148.454 90.039 126.300 20 9 13 4 1 195.836 46.286 27.037 1 10 13 34 1 195.836 46.286 27.037 2 10 13 34 1 195.836 46.286 27.037 3 10 13 34 1 195.836 46.286 27.037 4 10 13 34 1 195.836 46.286 27.037 5 10 13 34 1 61.871 127.308 31.203 6 10 13 16 1 61.871 127.308 31.203 7 10 13 16 1 61.871 127.308 31.203 8 10 13 16 1 9.742 132.981 241.933 9 10 13 48 1 230.679 68.083 62.237 10 10 13 26 1 230.679 68.083 62.237 11 10 13 26 1 230.679 68.083 62.237 12 10 13 26 1 230.679 68.083 62.237 13 10 13 26 1 230.679 68.083 62.237 14 10 13 26 1 111.594 70.700 44.838 15 10 13 20 1 111.594 70.700 44.838 16 10 13 20 1 111.594 70.700 44.838 17 10 13 20 1 111.594 70.700 44.838 18 10 13 20 1 148.454 90.039 126.300 19 10 13 4 1 148.454 90.039 126.300 20 10 13 4 1 195.836 46.286 27.037 1 11 13 34 1 195.836 46.286 27.037 2 11 13 34 1 195.836 46.286 27.037 3 11 13 34 1 195.836 46.286 27.037 4 11 13 34 1 195.836 46.286 27.037 5 11 13 34 1 61.871 127.308 31.203 6 11 13 16 1 9.742 132.981 241.933 7 11 13 48 1 9.742 132.981 241.933 8 11 13 48 1 9.742 132.981 241.933 9 11 13 48 1 9.742 132.981 241.933 10 11 13 48 1 230.679 68.083 62.237 11 11 13 26 1 230.679 68.083 62.237 12 11 13 26 1 230.679 68.083 62.237 13 11 13 26 1 111.594 70.700 44.838 14 11 13 20 1 111.594 70.700 44.838 15 11 13 20 1 111.594 70.700 44.838 16 11 13 20 1 111.594 70.700 44.838 17 11 13 20 1 111.594 70.700 44.838 18 11 13 20 1 111.594 70.700 44.838 19 11 13 20 1 148.454 90.039 126.300 20 11 13 4 1 246.290 104.982 183.986 1 12 13 23 1 246.290 104.982 183.986 2 12 13 23 1 246.290 104.982 183.986 3 12 13 23 1 246.290 104.982 183.986 4 12 13 23 1 246.290 104.982 183.986 5 12 13 23 1 61.871 127.308 31.203 6 12 13 16 1 9.742 132.981 241.933 7 12 13 48 1 9.742 132.981 241.933 8 12 13 48 1 9.742 132.981 241.933 9 12 13 48 1 9.742 132.981 241.933 10 12 13 48 1 9.742 132.981 241.933 11 12 13 48 1 230.679 68.083 62.237 12 12 13 26 1 111.594 70.700 44.838 13 12 13 20 1 111.594 70.700 44.838 14 12 13 20 1 111.594 70.700 44.838 15 12 13 20 1 111.594 70.700 44.838 16 12 13 20 1 111.594 70.700 44.838 17 12 13 20 1 111.594 70.700 44.838 18 12 13 20 1 111.594 70.700 44.838 19 12 13 20 1 148.454 90.039 126.300 20 12 13 4 1 246.290 104.982 183.986 1 13 13 23 1 246.290 104.982 183.986 2 13 13 23 1 246.290 104.982 183.986 3 13 13 23 1 246.290 104.982 183.986 4 13 13 23 1 246.290 104.982 183.986 5 13 13 23 1 61.871 127.308 31.203 6 13 13 16 1 9.742 132.981 241.933 7 13 13 48 1 9.742 132.981 241.933 8 13 13 48 1 193.199 106.176 102.671 9 13 13 29 1 193.199 106.176 102.671 10 13 13 29 1 193.199 106.176 102.671 11 13 13 29 1 193.199 106.176 102.671 12 13 13 29 1 111.594 70.700 44.838 13 13 13 20 1 111.594 70.700 44.838 14 13 13 20 1 111.594 70.700 44.838 15 13 13 20 1 111.594 70.700 44.838 16 13 13 20 1 111.594 70.700 44.838 17 13 13 20 1 111.594 70.700 44.838 18 13 13 20 1 103.919 42.576 234.753 19 13 13 8 1 103.919 42.576 234.753 20 13 13 8 1 246.290 104.982 183.986 1 14 13 23 1 246.290 104.982 183.986 2 14 13 23 1 246.290 104.982 183.986 3 14 13 23 1 246.290 104.982 183.986 4 14 13 23 1 246.290 104.982 183.986 5 14 13 23 1 246.290 104.982 183.986 6 14 13 23 1 193.199 106.176 102.671 7 14 13 29 1 193.199 106.176 102.671 8 14 13 29 1 193.199 106.176 102.671 9 14 13 29 1 193.199 106.176 102.671 10 14 13 29 1 193.199 106.176 102.671 11 14 13 29 1 193.199 106.176 102.671 12 14 13 29 1 193.199 106.176 102.671 13 14 13 29 1 307.313 113.083 57.838 14 14 13 19 1 307.313 113.083 57.838 15 14 13 19 1 307.313 113.083 57.838 16 14 13 19 1 307.313 113.083 57.838 17 14 13 19 1 307.313 113.083 57.838 18 14 13 19 1 103.919 42.576 234.753 19 14 13 8 1 103.919 42.576 234.753 20 14 13 8 1 246.290 104.982 183.986 1 15 13 23 1 246.290 104.982 183.986 2 15 13 23 1 246.290 104.982 183.986 3 15 13 23 1 246.290 104.982 183.986 4 15 13 23 1 246.290 104.982 183.986 5 15 13 23 1 246.290 104.982 183.986 6 15 13 23 1 193.199 106.176 102.671 7 15 13 29 1 193.199 106.176 102.671 8 15 13 29 1 193.199 106.176 102.671 9 15 13 29 1 193.199 106.176 102.671 10 15 13 29 1 193.199 106.176 102.671 11 15 13 29 1 193.199 106.176 102.671 12 15 13 29 1 193.199 106.176 102.671 13 15 13 29 1 307.313 113.083 57.838 14 15 13 19 1 307.313 113.083 57.838 15 15 13 19 1 307.313 113.083 57.838 16 15 13 19 1 307.313 113.083 57.838 17 15 13 19 1 307.313 113.083 57.838 18 15 13 19 1 307.313 113.083 57.838 19 15 13 19 1 103.919 42.576 234.753 20 15 13 8 1 246.290 104.982 183.986 1 16 13 23 1 246.290 104.982 183.986 2 16 13 23 1 246.290 104.982 183.986 3 16 13 23 1 246.290 104.982 183.986 4 16 13 23 1 246.290 104.982 183.986 5 16 13 23 1 246.290 104.982 183.986 6 16 13 23 1 193.199 106.176 102.671 7 16 13 29 1 193.199 106.176 102.671 8 16 13 29 1 193.199 106.176 102.671 9 16 13 29 1 193.199 106.176 102.671 10 16 13 29 1 193.199 106.176 102.671 11 16 13 29 1 193.199 106.176 102.671 12 16 13 29 1 193.199 106.176 102.671 13 16 13 29 1 307.313 113.083 57.838 14 16 13 19 1 307.313 113.083 57.838 15 16 13 19 1 307.313 113.083 57.838 16 16 13 19 1 307.313 113.083 57.838 17 16 13 19 1 307.313 113.083 57.838 18 16 13 19 1 307.313 113.083 57.838 19 16 13 19 1 307.313 113.083 57.838 20 16 13 19 1 246.290 104.982 183.986 1 17 13 23 1 246.290 104.982 183.986 2 17 13 23 1 246.290 104.982 183.986 3 17 13 23 1 246.290 104.982 183.986 4 17 13 23 1 140.911 146.459 236.524 5 17 13 28 1 140.911 146.459 236.524 6 17 13 28 1 193.199 106.176 102.671 7 17 13 29 1 193.199 106.176 102.671 8 17 13 29 1 193.199 106.176 102.671 9 17 13 29 1 193.199 106.176 102.671 10 17 13 29 1 193.199 106.176 102.671 11 17 13 29 1 193.199 106.176 102.671 12 17 13 29 1 193.199 106.176 102.671 13 17 13 29 1 307.313 113.083 57.838 14 17 13 19 1 307.313 113.083 57.838 15 17 13 19 1 307.313 113.083 57.838 16 17 13 19 1 307.313 113.083 57.838 17 17 13 19 1 307.313 113.083 57.838 18 17 13 19 1 307.313 113.083 57.838 19 17 13 19 1 307.313 113.083 57.838 20 17 13 19 1 246.290 104.982 183.986 1 18 13 23 1 246.290 104.982 183.986 2 18 13 23 1 140.911 146.459 236.524 3 18 13 28 1 140.911 146.459 236.524 4 18 13 28 1 140.911 146.459 236.524 5 18 13 28 1 140.911 146.459 236.524 6 18 13 28 1 140.911 146.459 236.524 7 18 13 28 1 193.199 106.176 102.671 8 18 13 29 1 193.199 106.176 102.671 9 18 13 29 1 193.199 106.176 102.671 10 18 13 29 1 193.199 106.176 102.671 11 18 13 29 1 193.199 106.176 102.671 12 18 13 29 1 193.199 106.176 102.671 13 18 13 29 1 307.313 113.083 57.838 14 18 13 19 1 307.313 113.083 57.838 15 18 13 19 1 307.313 113.083 57.838 16 18 13 19 1 307.313 113.083 57.838 17 18 13 19 1 307.313 113.083 57.838 18 18 13 19 1 307.313 113.083 57.838 19 18 13 19 1 307.313 113.083 57.838 20 18 13 19 1 140.911 146.459 236.524 1 19 13 28 1 140.911 146.459 236.524 2 19 13 28 1 140.911 146.459 236.524 3 19 13 28 1 140.911 146.459 236.524 4 19 13 28 1 140.911 146.459 236.524 5 19 13 28 1 140.911 146.459 236.524 6 19 13 28 1 140.911 146.459 236.524 7 19 13 28 1 193.199 106.176 102.671 8 19 13 29 1 193.199 106.176 102.671 9 19 13 29 1 193.199 106.176 102.671 10 19 13 29 1 193.199 106.176 102.671 11 19 13 29 1 193.199 106.176 102.671 12 19 13 29 1 193.199 106.176 102.671 13 19 13 29 1 307.313 113.083 57.838 14 19 13 19 1 307.313 113.083 57.838 15 19 13 19 1 307.313 113.083 57.838 16 19 13 19 1 307.313 113.083 57.838 17 19 13 19 1 307.313 113.083 57.838 18 19 13 19 1 307.313 113.083 57.838 19 19 13 19 1 307.313 113.083 57.838 20 19 13 19 1 140.911 146.459 236.524 1 20 13 28 1 140.911 146.459 236.524 2 20 13 28 1 140.911 146.459 236.524 3 20 13 28 1 140.911 146.459 236.524 4 20 13 28 1 140.911 146.459 236.524 5 20 13 28 1 140.911 146.459 236.524 6 20 13 28 1 140.911 146.459 236.524 7 20 13 28 1 140.911 146.459 236.524 8 20 13 28 1 193.199 106.176 102.671 9 20 13 29 1 193.199 106.176 102.671 10 20 13 29 1 193.199 106.176 102.671 11 20 13 29 1 193.199 106.176 102.671 12 20 13 29 1 193.199 106.176 102.671 13 20 13 29 1 118.375 106.683 84.268 14 20 13 27 1 307.313 113.083 57.838 15 20 13 19 1 307.313 113.083 57.838 16 20 13 19 1 307.313 113.083 57.838 17 20 13 19 1 118.375 106.683 84.268 18 20 13 27 1 118.375 106.683 84.268 19 20 13 27 1 118.375 106.683 84.268 20 20 13 27 1 213.704 129.862 233.466 1 1 14 5 1 213.704 129.862 233.466 2 1 14 5 1 213.704 129.862 233.466 3 1 14 5 1 213.704 129.862 233.466 4 1 14 5 1 213.704 129.862 233.466 5 1 14 5 1 213.704 129.862 233.466 6 1 14 5 1 213.704 129.862 233.466 7 1 14 5 1 213.704 129.862 233.466 8 1 14 5 1 58.725 54.417 306.240 9 1 14 14 1 58.725 54.417 306.240 10 1 14 14 1 58.725 54.417 306.240 11 1 14 14 1 58.725 54.417 306.240 12 1 14 14 1 58.725 54.417 306.240 13 1 14 14 1 58.725 54.417 306.240 14 1 14 14 1 155.686 60.526 232.560 15 1 14 41 1 359.146 112.896 37.983 16 1 14 6 1 359.146 112.896 37.983 17 1 14 6 1 359.146 112.896 37.983 18 1 14 6 1 359.146 112.896 37.983 19 1 14 6 1 359.146 112.896 37.983 20 1 14 6 1 213.704 129.862 233.466 1 2 14 5 1 213.704 129.862 233.466 2 2 14 5 1 213.704 129.862 233.466 3 2 14 5 1 213.704 129.862 233.466 4 2 14 5 1 213.704 129.862 233.466 5 2 14 5 1 213.704 129.862 233.466 6 2 14 5 1 213.704 129.862 233.466 7 2 14 5 1 213.704 129.862 233.466 8 2 14 5 1 58.725 54.417 306.240 9 2 14 14 1 58.725 54.417 306.240 10 2 14 14 1 58.725 54.417 306.240 11 2 14 14 1 58.725 54.417 306.240 12 2 14 14 1 58.725 54.417 306.240 13 2 14 14 1 155.686 60.526 232.560 14 2 14 41 1 155.686 60.526 232.560 15 2 14 41 1 359.146 112.896 37.983 16 2 14 6 1 359.146 112.896 37.983 17 2 14 6 1 359.146 112.896 37.983 18 2 14 6 1 359.146 112.896 37.983 19 2 14 6 1 359.146 112.896 37.983 20 2 14 6 1 213.704 129.862 233.466 1 3 14 5 1 213.704 129.862 233.466 2 3 14 5 1 213.704 129.862 233.466 3 3 14 5 1 213.704 129.862 233.466 4 3 14 5 1 213.704 129.862 233.466 5 3 14 5 1 213.704 129.862 233.466 6 3 14 5 1 213.704 129.862 233.466 7 3 14 5 1 213.704 129.862 233.466 8 3 14 5 1 206.865 60.889 308.280 9 3 14 43 1 206.865 60.889 308.280 10 3 14 43 1 206.865 60.889 308.280 11 3 14 43 1 58.725 54.417 306.240 12 3 14 14 1 32.741 35.872 10.181 13 3 14 25 1 155.686 60.526 232.560 14 3 14 41 1 155.686 60.526 232.560 15 3 14 41 1 155.686 60.526 232.560 16 3 14 41 1 359.146 112.896 37.983 17 3 14 6 1 359.146 112.896 37.983 18 3 14 6 1 359.146 112.896 37.983 19 3 14 6 1 359.146 112.896 37.983 20 3 14 6 1 213.704 129.862 233.466 1 4 14 5 1 213.704 129.862 233.466 2 4 14 5 1 213.704 129.862 233.466 3 4 14 5 1 213.704 129.862 233.466 4 4 14 5 1 213.704 129.862 233.466 5 4 14 5 1 213.704 129.862 233.466 6 4 14 5 1 213.704 129.862 233.466 7 4 14 5 1 206.865 60.889 308.280 8 4 14 43 1 206.865 60.889 308.280 9 4 14 43 1 206.865 60.889 308.280 10 4 14 43 1 206.865 60.889 308.280 11 4 14 43 1 206.865 60.889 308.280 12 4 14 43 1 155.686 60.526 232.560 13 4 14 41 1 155.686 60.526 232.560 14 4 14 41 1 155.686 60.526 232.560 15 4 14 41 1 155.686 60.526 232.560 16 4 14 41 1 359.146 112.896 37.983 17 4 14 6 1 359.146 112.896 37.983 18 4 14 6 1 359.146 112.896 37.983 19 4 14 6 1 359.146 112.896 37.983 20 4 14 6 1 213.704 129.862 233.466 1 5 14 5 1 213.704 129.862 233.466 2 5 14 5 1 213.704 129.862 233.466 3 5 14 5 1 213.704 129.862 233.466 4 5 14 5 1 213.704 129.862 233.466 5 5 14 5 1 213.704 129.862 233.466 6 5 14 5 1 213.704 129.862 233.466 7 5 14 5 1 206.865 60.889 308.280 8 5 14 43 1 206.865 60.889 308.280 9 5 14 43 1 206.865 60.889 308.280 10 5 14 43 1 206.865 60.889 308.280 11 5 14 43 1 206.865 60.889 308.280 12 5 14 43 1 155.686 60.526 232.560 13 5 14 41 1 155.686 60.526 232.560 14 5 14 41 1 155.686 60.526 232.560 15 5 14 41 1 155.686 60.526 232.560 16 5 14 41 1 155.686 60.526 232.560 17 5 14 41 1 359.146 112.896 37.983 18 5 14 6 1 359.146 112.896 37.983 19 5 14 6 1 359.146 112.896 37.983 20 5 14 6 1 270.234 111.919 286.574 1 6 14 3 1 213.704 129.862 233.466 2 6 14 5 1 213.704 129.862 233.466 3 6 14 5 1 213.704 129.862 233.466 4 6 14 5 1 213.704 129.862 233.466 5 6 14 5 1 213.704 129.862 233.466 6 6 14 5 1 206.865 60.889 308.280 7 6 14 43 1 206.865 60.889 308.280 8 6 14 43 1 206.865 60.889 308.280 9 6 14 43 1 206.865 60.889 308.280 10 6 14 43 1 206.865 60.889 308.280 11 6 14 43 1 206.865 60.889 308.280 12 6 14 43 1 155.686 60.526 232.560 13 6 14 41 1 155.686 60.526 232.560 14 6 14 41 1 155.686 60.526 232.560 15 6 14 41 1 155.686 60.526 232.560 16 6 14 41 1 155.686 60.526 232.560 17 6 14 41 1 155.686 60.526 232.560 18 6 14 41 1 359.146 112.896 37.983 19 6 14 6 1 359.146 112.896 37.983 20 6 14 6 1 195.836 46.286 27.037 1 7 14 34 1 195.836 46.286 27.037 2 7 14 34 1 195.836 46.286 27.037 3 7 14 34 1 195.836 46.286 27.037 4 7 14 34 1 270.234 111.919 286.574 5 7 14 3 1 270.234 111.919 286.574 6 7 14 3 1 206.865 60.889 308.280 7 7 14 43 1 206.865 60.889 308.280 8 7 14 43 1 206.865 60.889 308.280 9 7 14 43 1 206.865 60.889 308.280 10 7 14 43 1 206.865 60.889 308.280 11 7 14 43 1 206.865 60.889 308.280 12 7 14 43 1 155.686 60.526 232.560 13 7 14 41 1 155.686 60.526 232.560 14 7 14 41 1 155.686 60.526 232.560 15 7 14 41 1 155.686 60.526 232.560 16 7 14 41 1 155.686 60.526 232.560 17 7 14 41 1 155.686 60.526 232.560 18 7 14 41 1 155.686 60.526 232.560 19 7 14 41 1 359.146 112.896 37.983 20 7 14 6 1 195.836 46.286 27.037 1 8 14 34 1 195.836 46.286 27.037 2 8 14 34 1 195.836 46.286 27.037 3 8 14 34 1 195.836 46.286 27.037 4 8 14 34 1 195.836 46.286 27.037 5 8 14 34 1 195.836 46.286 27.037 6 8 14 34 1 206.865 60.889 308.280 7 8 14 43 1 206.865 60.889 308.280 8 8 14 43 1 206.865 60.889 308.280 9 8 14 43 1 206.865 60.889 308.280 10 8 14 43 1 206.865 60.889 308.280 11 8 14 43 1 206.865 60.889 308.280 12 8 14 43 1 155.686 60.526 232.560 13 8 14 41 1 155.686 60.526 232.560 14 8 14 41 1 155.686 60.526 232.560 15 8 14 41 1 155.686 60.526 232.560 16 8 14 41 1 155.686 60.526 232.560 17 8 14 41 1 155.686 60.526 232.560 18 8 14 41 1 155.686 60.526 232.560 19 8 14 41 1 359.146 112.896 37.983 20 8 14 6 1 195.836 46.286 27.037 1 9 14 34 1 195.836 46.286 27.037 2 9 14 34 1 195.836 46.286 27.037 3 9 14 34 1 195.836 46.286 27.037 4 9 14 34 1 195.836 46.286 27.037 5 9 14 34 1 195.836 46.286 27.037 6 9 14 34 1 61.871 127.308 31.203 7 9 14 16 1 61.871 127.308 31.203 8 9 14 16 1 206.865 60.889 308.280 9 9 14 43 1 206.865 60.889 308.280 10 9 14 43 1 206.865 60.889 308.280 11 9 14 43 1 230.679 68.083 62.237 12 9 14 26 1 111.594 70.700 44.838 13 9 14 20 1 111.594 70.700 44.838 14 9 14 20 1 111.594 70.700 44.838 15 9 14 20 1 111.594 70.700 44.838 16 9 14 20 1 111.594 70.700 44.838 17 9 14 20 1 111.594 70.700 44.838 18 9 14 20 1 111.594 70.700 44.838 19 9 14 20 1 148.454 90.039 126.300 20 9 14 4 1 195.836 46.286 27.037 1 10 14 34 1 195.836 46.286 27.037 2 10 14 34 1 195.836 46.286 27.037 3 10 14 34 1 195.836 46.286 27.037 4 10 14 34 1 195.836 46.286 27.037 5 10 14 34 1 61.871 127.308 31.203 6 10 14 16 1 61.871 127.308 31.203 7 10 14 16 1 61.871 127.308 31.203 8 10 14 16 1 61.871 127.308 31.203 9 10 14 16 1 61.871 127.308 31.203 10 10 14 16 1 230.679 68.083 62.237 11 10 14 26 1 111.594 70.700 44.838 12 10 14 20 1 111.594 70.700 44.838 13 10 14 20 1 111.594 70.700 44.838 14 10 14 20 1 111.594 70.700 44.838 15 10 14 20 1 111.594 70.700 44.838 16 10 14 20 1 111.594 70.700 44.838 17 10 14 20 1 111.594 70.700 44.838 18 10 14 20 1 111.594 70.700 44.838 19 10 14 20 1 111.594 70.700 44.838 20 10 14 20 1 195.836 46.286 27.037 1 11 14 34 1 195.836 46.286 27.037 2 11 14 34 1 195.836 46.286 27.037 3 11 14 34 1 195.836 46.286 27.037 4 11 14 34 1 195.836 46.286 27.037 5 11 14 34 1 61.871 127.308 31.203 6 11 14 16 1 61.871 127.308 31.203 7 11 14 16 1 61.871 127.308 31.203 8 11 14 16 1 61.871 127.308 31.203 9 11 14 16 1 61.871 127.308 31.203 10 11 14 16 1 230.679 68.083 62.237 11 11 14 26 1 111.594 70.700 44.838 12 11 14 20 1 111.594 70.700 44.838 13 11 14 20 1 111.594 70.700 44.838 14 11 14 20 1 111.594 70.700 44.838 15 11 14 20 1 111.594 70.700 44.838 16 11 14 20 1 111.594 70.700 44.838 17 11 14 20 1 111.594 70.700 44.838 18 11 14 20 1 111.594 70.700 44.838 19 11 14 20 1 111.594 70.700 44.838 20 11 14 20 1 195.836 46.286 27.037 1 12 14 34 1 195.836 46.286 27.037 2 12 14 34 1 195.836 46.286 27.037 3 12 14 34 1 195.836 46.286 27.037 4 12 14 34 1 61.871 127.308 31.203 5 12 14 16 1 61.871 127.308 31.203 6 12 14 16 1 61.871 127.308 31.203 7 12 14 16 1 61.871 127.308 31.203 8 12 14 16 1 61.871 127.308 31.203 9 12 14 16 1 61.871 127.308 31.203 10 12 14 16 1 61.871 127.308 31.203 11 12 14 16 1 111.594 70.700 44.838 12 12 14 20 1 111.594 70.700 44.838 13 12 14 20 1 111.594 70.700 44.838 14 12 14 20 1 111.594 70.700 44.838 15 12 14 20 1 111.594 70.700 44.838 16 12 14 20 1 111.594 70.700 44.838 17 12 14 20 1 111.594 70.700 44.838 18 12 14 20 1 111.594 70.700 44.838 19 12 14 20 1 111.594 70.700 44.838 20 12 14 20 1 246.290 104.982 183.986 1 13 14 23 1 246.290 104.982 183.986 2 13 14 23 1 246.290 104.982 183.986 3 13 14 23 1 246.290 104.982 183.986 4 13 14 23 1 61.871 127.308 31.203 5 13 14 16 1 61.871 127.308 31.203 6 13 14 16 1 61.871 127.308 31.203 7 13 14 16 1 61.871 127.308 31.203 8 13 14 16 1 193.199 106.176 102.671 9 13 14 29 1 193.199 106.176 102.671 10 13 14 29 1 193.199 106.176 102.671 11 13 14 29 1 193.199 106.176 102.671 12 13 14 29 1 111.594 70.700 44.838 13 13 14 20 1 111.594 70.700 44.838 14 13 14 20 1 111.594 70.700 44.838 15 13 14 20 1 111.594 70.700 44.838 16 13 14 20 1 111.594 70.700 44.838 17 13 14 20 1 111.594 70.700 44.838 18 13 14 20 1 111.594 70.700 44.838 19 13 14 20 1 111.594 70.700 44.838 20 13 14 20 1 246.290 104.982 183.986 1 14 14 23 1 246.290 104.982 183.986 2 14 14 23 1 246.290 104.982 183.986 3 14 14 23 1 246.290 104.982 183.986 4 14 14 23 1 246.290 104.982 183.986 5 14 14 23 1 61.871 127.308 31.203 6 14 14 16 1 193.199 106.176 102.671 7 14 14 29 1 193.199 106.176 102.671 8 14 14 29 1 193.199 106.176 102.671 9 14 14 29 1 193.199 106.176 102.671 10 14 14 29 1 193.199 106.176 102.671 11 14 14 29 1 193.199 106.176 102.671 12 14 14 29 1 193.199 106.176 102.671 13 14 14 29 1 307.313 113.083 57.838 14 14 14 19 1 307.313 113.083 57.838 15 14 14 19 1 307.313 113.083 57.838 16 14 14 19 1 307.313 113.083 57.838 17 14 14 19 1 307.313 113.083 57.838 18 14 14 19 1 307.313 113.083 57.838 19 14 14 19 1 307.313 113.083 57.838 20 14 14 19 1 246.290 104.982 183.986 1 15 14 23 1 246.290 104.982 183.986 2 15 14 23 1 246.290 104.982 183.986 3 15 14 23 1 246.290 104.982 183.986 4 15 14 23 1 246.290 104.982 183.986 5 15 14 23 1 193.199 106.176 102.671 6 15 14 29 1 193.199 106.176 102.671 7 15 14 29 1 193.199 106.176 102.671 8 15 14 29 1 193.199 106.176 102.671 9 15 14 29 1 193.199 106.176 102.671 10 15 14 29 1 193.199 106.176 102.671 11 15 14 29 1 193.199 106.176 102.671 12 15 14 29 1 193.199 106.176 102.671 13 15 14 29 1 307.313 113.083 57.838 14 15 14 19 1 307.313 113.083 57.838 15 15 14 19 1 307.313 113.083 57.838 16 15 14 19 1 307.313 113.083 57.838 17 15 14 19 1 307.313 113.083 57.838 18 15 14 19 1 307.313 113.083 57.838 19 15 14 19 1 307.313 113.083 57.838 20 15 14 19 1 246.290 104.982 183.986 1 16 14 23 1 246.290 104.982 183.986 2 16 14 23 1 246.290 104.982 183.986 3 16 14 23 1 246.290 104.982 183.986 4 16 14 23 1 246.290 104.982 183.986 5 16 14 23 1 193.199 106.176 102.671 6 16 14 29 1 193.199 106.176 102.671 7 16 14 29 1 193.199 106.176 102.671 8 16 14 29 1 193.199 106.176 102.671 9 16 14 29 1 193.199 106.176 102.671 10 16 14 29 1 193.199 106.176 102.671 11 16 14 29 1 193.199 106.176 102.671 12 16 14 29 1 193.199 106.176 102.671 13 16 14 29 1 307.313 113.083 57.838 14 16 14 19 1 307.313 113.083 57.838 15 16 14 19 1 307.313 113.083 57.838 16 16 14 19 1 307.313 113.083 57.838 17 16 14 19 1 307.313 113.083 57.838 18 16 14 19 1 307.313 113.083 57.838 19 16 14 19 1 307.313 113.083 57.838 20 16 14 19 1 246.290 104.982 183.986 1 17 14 23 1 246.290 104.982 183.986 2 17 14 23 1 246.290 104.982 183.986 3 17 14 23 1 140.911 146.459 236.524 4 17 14 28 1 140.911 146.459 236.524 5 17 14 28 1 140.911 146.459 236.524 6 17 14 28 1 193.199 106.176 102.671 7 17 14 29 1 193.199 106.176 102.671 8 17 14 29 1 193.199 106.176 102.671 9 17 14 29 1 193.199 106.176 102.671 10 17 14 29 1 193.199 106.176 102.671 11 17 14 29 1 193.199 106.176 102.671 12 17 14 29 1 193.199 106.176 102.671 13 17 14 29 1 307.313 113.083 57.838 14 17 14 19 1 307.313 113.083 57.838 15 17 14 19 1 307.313 113.083 57.838 16 17 14 19 1 307.313 113.083 57.838 17 17 14 19 1 307.313 113.083 57.838 18 17 14 19 1 307.313 113.083 57.838 19 17 14 19 1 307.313 113.083 57.838 20 17 14 19 1 140.911 146.459 236.524 1 18 14 28 1 140.911 146.459 236.524 2 18 14 28 1 140.911 146.459 236.524 3 18 14 28 1 140.911 146.459 236.524 4 18 14 28 1 140.911 146.459 236.524 5 18 14 28 1 140.911 146.459 236.524 6 18 14 28 1 140.911 146.459 236.524 7 18 14 28 1 193.199 106.176 102.671 8 18 14 29 1 193.199 106.176 102.671 9 18 14 29 1 193.199 106.176 102.671 10 18 14 29 1 193.199 106.176 102.671 11 18 14 29 1 193.199 106.176 102.671 12 18 14 29 1 193.199 106.176 102.671 13 18 14 29 1 307.313 113.083 57.838 14 18 14 19 1 307.313 113.083 57.838 15 18 14 19 1 307.313 113.083 57.838 16 18 14 19 1 307.313 113.083 57.838 17 18 14 19 1 307.313 113.083 57.838 18 18 14 19 1 307.313 113.083 57.838 19 18 14 19 1 307.313 113.083 57.838 20 18 14 19 1 140.911 146.459 236.524 1 19 14 28 1 140.911 146.459 236.524 2 19 14 28 1 140.911 146.459 236.524 3 19 14 28 1 140.911 146.459 236.524 4 19 14 28 1 140.911 146.459 236.524 5 19 14 28 1 140.911 146.459 236.524 6 19 14 28 1 140.911 146.459 236.524 7 19 14 28 1 193.199 106.176 102.671 8 19 14 29 1 193.199 106.176 102.671 9 19 14 29 1 193.199 106.176 102.671 10 19 14 29 1 193.199 106.176 102.671 11 19 14 29 1 193.199 106.176 102.671 12 19 14 29 1 193.199 106.176 102.671 13 19 14 29 1 307.313 113.083 57.838 14 19 14 19 1 307.313 113.083 57.838 15 19 14 19 1 307.313 113.083 57.838 16 19 14 19 1 307.313 113.083 57.838 17 19 14 19 1 307.313 113.083 57.838 18 19 14 19 1 307.313 113.083 57.838 19 19 14 19 1 307.313 113.083 57.838 20 19 14 19 1 140.911 146.459 236.524 1 20 14 28 1 140.911 146.459 236.524 2 20 14 28 1 140.911 146.459 236.524 3 20 14 28 1 140.911 146.459 236.524 4 20 14 28 1 140.911 146.459 236.524 5 20 14 28 1 140.911 146.459 236.524 6 20 14 28 1 140.911 146.459 236.524 7 20 14 28 1 140.911 146.459 236.524 8 20 14 28 1 193.199 106.176 102.671 9 20 14 29 1 193.199 106.176 102.671 10 20 14 29 1 193.199 106.176 102.671 11 20 14 29 1 193.199 106.176 102.671 12 20 14 29 1 193.199 106.176 102.671 13 20 14 29 1 307.313 113.083 57.838 14 20 14 19 1 307.313 113.083 57.838 15 20 14 19 1 307.313 113.083 57.838 16 20 14 19 1 307.313 113.083 57.838 17 20 14 19 1 307.313 113.083 57.838 18 20 14 19 1 307.313 113.083 57.838 19 20 14 19 1 307.313 113.083 57.838 20 20 14 19 1 213.704 129.862 233.466 1 1 15 5 1 213.704 129.862 233.466 2 1 15 5 1 213.704 129.862 233.466 3 1 15 5 1 213.704 129.862 233.466 4 1 15 5 1 213.704 129.862 233.466 5 1 15 5 1 213.704 129.862 233.466 6 1 15 5 1 213.704 129.862 233.466 7 1 15 5 1 213.704 129.862 233.466 8 1 15 5 1 213.704 129.862 233.466 9 1 15 5 1 58.725 54.417 306.240 10 1 15 14 1 58.725 54.417 306.240 11 1 15 14 1 32.741 35.872 10.181 12 1 15 25 1 32.741 35.872 10.181 13 1 15 25 1 32.741 35.872 10.181 14 1 15 25 1 21.084 85.761 243.412 15 1 15 46 1 21.084 85.761 243.412 16 1 15 46 1 359.146 112.896 37.983 17 1 15 6 1 359.146 112.896 37.983 18 1 15 6 1 359.146 112.896 37.983 19 1 15 6 1 359.146 112.896 37.983 20 1 15 6 1 213.704 129.862 233.466 1 2 15 5 1 213.704 129.862 233.466 2 2 15 5 1 213.704 129.862 233.466 3 2 15 5 1 213.704 129.862 233.466 4 2 15 5 1 213.704 129.862 233.466 5 2 15 5 1 213.704 129.862 233.466 6 2 15 5 1 213.704 129.862 233.466 7 2 15 5 1 213.704 129.862 233.466 8 2 15 5 1 213.704 129.862 233.466 9 2 15 5 1 206.865 60.889 308.280 10 2 15 43 1 206.865 60.889 308.280 11 2 15 43 1 32.741 35.872 10.181 12 2 15 25 1 32.741 35.872 10.181 13 2 15 25 1 32.741 35.872 10.181 14 2 15 25 1 32.741 35.872 10.181 15 2 15 25 1 359.146 112.896 37.983 16 2 15 6 1 359.146 112.896 37.983 17 2 15 6 1 359.146 112.896 37.983 18 2 15 6 1 359.146 112.896 37.983 19 2 15 6 1 359.146 112.896 37.983 20 2 15 6 1 213.704 129.862 233.466 1 3 15 5 1 213.704 129.862 233.466 2 3 15 5 1 213.704 129.862 233.466 3 3 15 5 1 213.704 129.862 233.466 4 3 15 5 1 213.704 129.862 233.466 5 3 15 5 1 213.704 129.862 233.466 6 3 15 5 1 213.704 129.862 233.466 7 3 15 5 1 213.704 129.862 233.466 8 3 15 5 1 206.865 60.889 308.280 9 3 15 43 1 206.865 60.889 308.280 10 3 15 43 1 206.865 60.889 308.280 11 3 15 43 1 32.741 35.872 10.181 12 3 15 25 1 32.741 35.872 10.181 13 3 15 25 1 32.741 35.872 10.181 14 3 15 25 1 32.741 35.872 10.181 15 3 15 25 1 155.686 60.526 232.560 16 3 15 41 1 359.146 112.896 37.983 17 3 15 6 1 359.146 112.896 37.983 18 3 15 6 1 359.146 112.896 37.983 19 3 15 6 1 359.146 112.896 37.983 20 3 15 6 1 213.704 129.862 233.466 1 4 15 5 1 213.704 129.862 233.466 2 4 15 5 1 213.704 129.862 233.466 3 4 15 5 1 213.704 129.862 233.466 4 4 15 5 1 213.704 129.862 233.466 5 4 15 5 1 213.704 129.862 233.466 6 4 15 5 1 213.704 129.862 233.466 7 4 15 5 1 206.865 60.889 308.280 8 4 15 43 1 206.865 60.889 308.280 9 4 15 43 1 206.865 60.889 308.280 10 4 15 43 1 206.865 60.889 308.280 11 4 15 43 1 206.865 60.889 308.280 12 4 15 43 1 32.741 35.872 10.181 13 4 15 25 1 32.741 35.872 10.181 14 4 15 25 1 155.686 60.526 232.560 15 4 15 41 1 155.686 60.526 232.560 16 4 15 41 1 359.146 112.896 37.983 17 4 15 6 1 359.146 112.896 37.983 18 4 15 6 1 359.146 112.896 37.983 19 4 15 6 1 359.146 112.896 37.983 20 4 15 6 1 213.704 129.862 233.466 1 5 15 5 1 213.704 129.862 233.466 2 5 15 5 1 213.704 129.862 233.466 3 5 15 5 1 213.704 129.862 233.466 4 5 15 5 1 213.704 129.862 233.466 5 5 15 5 1 213.704 129.862 233.466 6 5 15 5 1 206.865 60.889 308.280 7 5 15 43 1 206.865 60.889 308.280 8 5 15 43 1 206.865 60.889 308.280 9 5 15 43 1 206.865 60.889 308.280 10 5 15 43 1 206.865 60.889 308.280 11 5 15 43 1 206.865 60.889 308.280 12 5 15 43 1 206.865 60.889 308.280 13 5 15 43 1 155.686 60.526 232.560 14 5 15 41 1 155.686 60.526 232.560 15 5 15 41 1 155.686 60.526 232.560 16 5 15 41 1 155.686 60.526 232.560 17 5 15 41 1 359.146 112.896 37.983 18 5 15 6 1 359.146 112.896 37.983 19 5 15 6 1 359.146 112.896 37.983 20 5 15 6 1 195.836 46.286 27.037 1 6 15 34 1 213.704 129.862 233.466 2 6 15 5 1 213.704 129.862 233.466 3 6 15 5 1 213.704 129.862 233.466 4 6 15 5 1 213.704 129.862 233.466 5 6 15 5 1 213.704 129.862 233.466 6 6 15 5 1 206.865 60.889 308.280 7 6 15 43 1 206.865 60.889 308.280 8 6 15 43 1 206.865 60.889 308.280 9 6 15 43 1 206.865 60.889 308.280 10 6 15 43 1 206.865 60.889 308.280 11 6 15 43 1 206.865 60.889 308.280 12 6 15 43 1 206.865 60.889 308.280 13 6 15 43 1 155.686 60.526 232.560 14 6 15 41 1 155.686 60.526 232.560 15 6 15 41 1 155.686 60.526 232.560 16 6 15 41 1 155.686 60.526 232.560 17 6 15 41 1 155.686 60.526 232.560 18 6 15 41 1 359.146 112.896 37.983 19 6 15 6 1 359.146 112.896 37.983 20 6 15 6 1 195.836 46.286 27.037 1 7 15 34 1 195.836 46.286 27.037 2 7 15 34 1 195.836 46.286 27.037 3 7 15 34 1 195.836 46.286 27.037 4 7 15 34 1 195.836 46.286 27.037 5 7 15 34 1 206.865 60.889 308.280 6 7 15 43 1 206.865 60.889 308.280 7 7 15 43 1 206.865 60.889 308.280 8 7 15 43 1 206.865 60.889 308.280 9 7 15 43 1 206.865 60.889 308.280 10 7 15 43 1 206.865 60.889 308.280 11 7 15 43 1 206.865 60.889 308.280 12 7 15 43 1 206.865 60.889 308.280 13 7 15 43 1 155.686 60.526 232.560 14 7 15 41 1 155.686 60.526 232.560 15 7 15 41 1 155.686 60.526 232.560 16 7 15 41 1 155.686 60.526 232.560 17 7 15 41 1 155.686 60.526 232.560 18 7 15 41 1 155.686 60.526 232.560 19 7 15 41 1 359.146 112.896 37.983 20 7 15 6 1 195.836 46.286 27.037 1 8 15 34 1 195.836 46.286 27.037 2 8 15 34 1 195.836 46.286 27.037 3 8 15 34 1 195.836 46.286 27.037 4 8 15 34 1 195.836 46.286 27.037 5 8 15 34 1 195.836 46.286 27.037 6 8 15 34 1 206.865 60.889 308.280 7 8 15 43 1 206.865 60.889 308.280 8 8 15 43 1 206.865 60.889 308.280 9 8 15 43 1 206.865 60.889 308.280 10 8 15 43 1 206.865 60.889 308.280 11 8 15 43 1 206.865 60.889 308.280 12 8 15 43 1 206.865 60.889 308.280 13 8 15 43 1 155.686 60.526 232.560 14 8 15 41 1 155.686 60.526 232.560 15 8 15 41 1 155.686 60.526 232.560 16 8 15 41 1 155.686 60.526 232.560 17 8 15 41 1 155.686 60.526 232.560 18 8 15 41 1 337.952 156.456 36.702 19 8 15 24 1 337.952 156.456 36.702 20 8 15 24 1 195.836 46.286 27.037 1 9 15 34 1 195.836 46.286 27.037 2 9 15 34 1 195.836 46.286 27.037 3 9 15 34 1 195.836 46.286 27.037 4 9 15 34 1 195.836 46.286 27.037 5 9 15 34 1 195.836 46.286 27.037 6 9 15 34 1 61.871 127.308 31.203 7 9 15 16 1 61.871 127.308 31.203 8 9 15 16 1 206.865 60.889 308.280 9 9 15 43 1 206.865 60.889 308.280 10 9 15 43 1 206.865 60.889 308.280 11 9 15 43 1 206.865 60.889 308.280 12 9 15 43 1 111.594 70.700 44.838 13 9 15 20 1 111.594 70.700 44.838 14 9 15 20 1 111.594 70.700 44.838 15 9 15 20 1 111.594 70.700 44.838 16 9 15 20 1 111.594 70.700 44.838 17 9 15 20 1 111.594 70.700 44.838 18 9 15 20 1 111.594 70.700 44.838 19 9 15 20 1 337.952 156.456 36.702 20 9 15 24 1 195.836 46.286 27.037 1 10 15 34 1 195.836 46.286 27.037 2 10 15 34 1 195.836 46.286 27.037 3 10 15 34 1 195.836 46.286 27.037 4 10 15 34 1 195.836 46.286 27.037 5 10 15 34 1 61.871 127.308 31.203 6 10 15 16 1 61.871 127.308 31.203 7 10 15 16 1 61.871 127.308 31.203 8 10 15 16 1 61.871 127.308 31.203 9 10 15 16 1 61.871 127.308 31.203 10 10 15 16 1 206.865 60.889 308.280 11 10 15 43 1 111.594 70.700 44.838 12 10 15 20 1 111.594 70.700 44.838 13 10 15 20 1 111.594 70.700 44.838 14 10 15 20 1 111.594 70.700 44.838 15 10 15 20 1 111.594 70.700 44.838 16 10 15 20 1 111.594 70.700 44.838 17 10 15 20 1 111.594 70.700 44.838 18 10 15 20 1 111.594 70.700 44.838 19 10 15 20 1 111.594 70.700 44.838 20 10 15 20 1 195.836 46.286 27.037 1 11 15 34 1 195.836 46.286 27.037 2 11 15 34 1 195.836 46.286 27.037 3 11 15 34 1 195.836 46.286 27.037 4 11 15 34 1 195.836 46.286 27.037 5 11 15 34 1 61.871 127.308 31.203 6 11 15 16 1 61.871 127.308 31.203 7 11 15 16 1 61.871 127.308 31.203 8 11 15 16 1 61.871 127.308 31.203 9 11 15 16 1 61.871 127.308 31.203 10 11 15 16 1 61.871 127.308 31.203 11 11 15 16 1 111.594 70.700 44.838 12 11 15 20 1 111.594 70.700 44.838 13 11 15 20 1 111.594 70.700 44.838 14 11 15 20 1 111.594 70.700 44.838 15 11 15 20 1 111.594 70.700 44.838 16 11 15 20 1 111.594 70.700 44.838 17 11 15 20 1 111.594 70.700 44.838 18 11 15 20 1 111.594 70.700 44.838 19 11 15 20 1 111.594 70.700 44.838 20 11 15 20 1 195.836 46.286 27.037 1 12 15 34 1 195.836 46.286 27.037 2 12 15 34 1 195.836 46.286 27.037 3 12 15 34 1 195.836 46.286 27.037 4 12 15 34 1 61.871 127.308 31.203 5 12 15 16 1 61.871 127.308 31.203 6 12 15 16 1 61.871 127.308 31.203 7 12 15 16 1 61.871 127.308 31.203 8 12 15 16 1 61.871 127.308 31.203 9 12 15 16 1 61.871 127.308 31.203 10 12 15 16 1 61.871 127.308 31.203 11 12 15 16 1 111.594 70.700 44.838 12 12 15 20 1 111.594 70.700 44.838 13 12 15 20 1 111.594 70.700 44.838 14 12 15 20 1 111.594 70.700 44.838 15 12 15 20 1 111.594 70.700 44.838 16 12 15 20 1 111.594 70.700 44.838 17 12 15 20 1 111.594 70.700 44.838 18 12 15 20 1 111.594 70.700 44.838 19 12 15 20 1 111.594 70.700 44.838 20 12 15 20 1 174.974 118.636 115.906 1 13 15 18 1 174.974 118.636 115.906 2 13 15 18 1 174.974 118.636 115.906 3 13 15 18 1 174.974 118.636 115.906 4 13 15 18 1 174.974 118.636 115.906 5 13 15 18 1 61.871 127.308 31.203 6 13 15 16 1 61.871 127.308 31.203 7 13 15 16 1 61.871 127.308 31.203 8 13 15 16 1 61.871 127.308 31.203 9 13 15 16 1 61.871 127.308 31.203 10 13 15 16 1 193.199 106.176 102.671 11 13 15 29 1 193.199 106.176 102.671 12 13 15 29 1 111.594 70.700 44.838 13 13 15 20 1 111.594 70.700 44.838 14 13 15 20 1 111.594 70.700 44.838 15 13 15 20 1 111.594 70.700 44.838 16 13 15 20 1 111.594 70.700 44.838 17 13 15 20 1 111.594 70.700 44.838 18 13 15 20 1 111.594 70.700 44.838 19 13 15 20 1 111.594 70.700 44.838 20 13 15 20 1 174.974 118.636 115.906 1 14 15 18 1 174.974 118.636 115.906 2 14 15 18 1 174.974 118.636 115.906 3 14 15 18 1 174.974 118.636 115.906 4 14 15 18 1 174.974 118.636 115.906 5 14 15 18 1 61.871 127.308 31.203 6 14 15 16 1 61.871 127.308 31.203 7 14 15 16 1 61.871 127.308 31.203 8 14 15 16 1 193.199 106.176 102.671 9 14 15 29 1 193.199 106.176 102.671 10 14 15 29 1 193.199 106.176 102.671 11 14 15 29 1 193.199 106.176 102.671 12 14 15 29 1 193.199 106.176 102.671 13 14 15 29 1 111.594 70.700 44.838 14 14 15 20 1 307.313 113.083 57.838 15 14 15 19 1 307.313 113.083 57.838 16 14 15 19 1 307.313 113.083 57.838 17 14 15 19 1 307.313 113.083 57.838 18 14 15 19 1 307.313 113.083 57.838 19 14 15 19 1 307.313 113.083 57.838 20 14 15 19 1 174.974 118.636 115.906 1 15 15 18 1 174.974 118.636 115.906 2 15 15 18 1 174.974 118.636 115.906 3 15 15 18 1 174.974 118.636 115.906 4 15 15 18 1 174.974 118.636 115.906 5 15 15 18 1 61.871 127.308 31.203 6 15 15 16 1 193.199 106.176 102.671 7 15 15 29 1 193.199 106.176 102.671 8 15 15 29 1 193.199 106.176 102.671 9 15 15 29 1 193.199 106.176 102.671 10 15 15 29 1 193.199 106.176 102.671 11 15 15 29 1 193.199 106.176 102.671 12 15 15 29 1 193.199 106.176 102.671 13 15 15 29 1 307.313 113.083 57.838 14 15 15 19 1 307.313 113.083 57.838 15 15 15 19 1 307.313 113.083 57.838 16 15 15 19 1 307.313 113.083 57.838 17 15 15 19 1 307.313 113.083 57.838 18 15 15 19 1 307.313 113.083 57.838 19 15 15 19 1 307.313 113.083 57.838 20 15 15 19 1 174.974 118.636 115.906 1 16 15 18 1 246.290 104.982 183.986 2 16 15 23 1 246.290 104.982 183.986 3 16 15 23 1 174.974 118.636 115.906 4 16 15 18 1 174.974 118.636 115.906 5 16 15 18 1 193.199 106.176 102.671 6 16 15 29 1 193.199 106.176 102.671 7 16 15 29 1 193.199 106.176 102.671 8 16 15 29 1 193.199 106.176 102.671 9 16 15 29 1 193.199 106.176 102.671 10 16 15 29 1 193.199 106.176 102.671 11 16 15 29 1 193.199 106.176 102.671 12 16 15 29 1 193.199 106.176 102.671 13 16 15 29 1 307.313 113.083 57.838 14 16 15 19 1 307.313 113.083 57.838 15 16 15 19 1 307.313 113.083 57.838 16 16 15 19 1 307.313 113.083 57.838 17 16 15 19 1 307.313 113.083 57.838 18 16 15 19 1 307.313 113.083 57.838 19 16 15 19 1 307.313 113.083 57.838 20 16 15 19 1 246.290 104.982 183.986 1 17 15 23 1 140.911 146.459 236.524 2 17 15 28 1 140.911 146.459 236.524 3 17 15 28 1 140.911 146.459 236.524 4 17 15 28 1 140.911 146.459 236.524 5 17 15 28 1 140.911 146.459 236.524 6 17 15 28 1 193.199 106.176 102.671 7 17 15 29 1 193.199 106.176 102.671 8 17 15 29 1 193.199 106.176 102.671 9 17 15 29 1 193.199 106.176 102.671 10 17 15 29 1 193.199 106.176 102.671 11 17 15 29 1 193.199 106.176 102.671 12 17 15 29 1 193.199 106.176 102.671 13 17 15 29 1 307.313 113.083 57.838 14 17 15 19 1 307.313 113.083 57.838 15 17 15 19 1 307.313 113.083 57.838 16 17 15 19 1 307.313 113.083 57.838 17 17 15 19 1 307.313 113.083 57.838 18 17 15 19 1 307.313 113.083 57.838 19 17 15 19 1 307.313 113.083 57.838 20 17 15 19 1 140.911 146.459 236.524 1 18 15 28 1 140.911 146.459 236.524 2 18 15 28 1 140.911 146.459 236.524 3 18 15 28 1 140.911 146.459 236.524 4 18 15 28 1 140.911 146.459 236.524 5 18 15 28 1 140.911 146.459 236.524 6 18 15 28 1 140.911 146.459 236.524 7 18 15 28 1 193.199 106.176 102.671 8 18 15 29 1 193.199 106.176 102.671 9 18 15 29 1 193.199 106.176 102.671 10 18 15 29 1 193.199 106.176 102.671 11 18 15 29 1 193.199 106.176 102.671 12 18 15 29 1 193.199 106.176 102.671 13 18 15 29 1 307.313 113.083 57.838 14 18 15 19 1 307.313 113.083 57.838 15 18 15 19 1 307.313 113.083 57.838 16 18 15 19 1 307.313 113.083 57.838 17 18 15 19 1 307.313 113.083 57.838 18 18 15 19 1 307.313 113.083 57.838 19 18 15 19 1 307.313 113.083 57.838 20 18 15 19 1 140.911 146.459 236.524 1 19 15 28 1 140.911 146.459 236.524 2 19 15 28 1 140.911 146.459 236.524 3 19 15 28 1 140.911 146.459 236.524 4 19 15 28 1 140.911 146.459 236.524 5 19 15 28 1 140.911 146.459 236.524 6 19 15 28 1 140.911 146.459 236.524 7 19 15 28 1 193.199 106.176 102.671 8 19 15 29 1 193.199 106.176 102.671 9 19 15 29 1 193.199 106.176 102.671 10 19 15 29 1 193.199 106.176 102.671 11 19 15 29 1 193.199 106.176 102.671 12 19 15 29 1 193.199 106.176 102.671 13 19 15 29 1 307.313 113.083 57.838 14 19 15 19 1 307.313 113.083 57.838 15 19 15 19 1 307.313 113.083 57.838 16 19 15 19 1 307.313 113.083 57.838 17 19 15 19 1 307.313 113.083 57.838 18 19 15 19 1 307.313 113.083 57.838 19 19 15 19 1 307.313 113.083 57.838 20 19 15 19 1 140.911 146.459 236.524 1 20 15 28 1 140.911 146.459 236.524 2 20 15 28 1 140.911 146.459 236.524 3 20 15 28 1 140.911 146.459 236.524 4 20 15 28 1 140.911 146.459 236.524 5 20 15 28 1 140.911 146.459 236.524 6 20 15 28 1 140.911 146.459 236.524 7 20 15 28 1 140.911 146.459 236.524 8 20 15 28 1 193.199 106.176 102.671 9 20 15 29 1 193.199 106.176 102.671 10 20 15 29 1 193.199 106.176 102.671 11 20 15 29 1 193.199 106.176 102.671 12 20 15 29 1 193.199 106.176 102.671 13 20 15 29 1 307.313 113.083 57.838 14 20 15 19 1 307.313 113.083 57.838 15 20 15 19 1 307.313 113.083 57.838 16 20 15 19 1 307.313 113.083 57.838 17 20 15 19 1 307.313 113.083 57.838 18 20 15 19 1 307.313 113.083 57.838 19 20 15 19 1 147.237 136.696 99.729 20 20 15 9 1 213.704 129.862 233.466 1 1 16 5 1 213.704 129.862 233.466 2 1 16 5 1 213.704 129.862 233.466 3 1 16 5 1 213.704 129.862 233.466 4 1 16 5 1 213.704 129.862 233.466 5 1 16 5 1 213.704 129.862 233.466 6 1 16 5 1 213.704 129.862 233.466 7 1 16 5 1 213.704 129.862 233.466 8 1 16 5 1 213.704 129.862 233.466 9 1 16 5 1 32.741 35.872 10.181 10 1 16 25 1 32.741 35.872 10.181 11 1 16 25 1 32.741 35.872 10.181 12 1 16 25 1 32.741 35.872 10.181 13 1 16 25 1 32.741 35.872 10.181 14 1 16 25 1 21.084 85.761 243.412 15 1 16 46 1 21.084 85.761 243.412 16 1 16 46 1 21.084 85.761 243.412 17 1 16 46 1 21.084 85.761 243.412 18 1 16 46 1 359.146 112.896 37.983 19 1 16 6 1 359.146 112.896 37.983 20 1 16 6 1 213.704 129.862 233.466 1 2 16 5 1 213.704 129.862 233.466 2 2 16 5 1 213.704 129.862 233.466 3 2 16 5 1 213.704 129.862 233.466 4 2 16 5 1 213.704 129.862 233.466 5 2 16 5 1 213.704 129.862 233.466 6 2 16 5 1 213.704 129.862 233.466 7 2 16 5 1 213.704 129.862 233.466 8 2 16 5 1 206.865 60.889 308.280 9 2 16 43 1 32.741 35.872 10.181 10 2 16 25 1 32.741 35.872 10.181 11 2 16 25 1 32.741 35.872 10.181 12 2 16 25 1 32.741 35.872 10.181 13 2 16 25 1 32.741 35.872 10.181 14 2 16 25 1 32.741 35.872 10.181 15 2 16 25 1 21.084 85.761 243.412 16 2 16 46 1 21.084 85.761 243.412 17 2 16 46 1 359.146 112.896 37.983 18 2 16 6 1 359.146 112.896 37.983 19 2 16 6 1 359.146 112.896 37.983 20 2 16 6 1 213.704 129.862 233.466 1 3 16 5 1 213.704 129.862 233.466 2 3 16 5 1 213.704 129.862 233.466 3 3 16 5 1 213.704 129.862 233.466 4 3 16 5 1 213.704 129.862 233.466 5 3 16 5 1 213.704 129.862 233.466 6 3 16 5 1 213.704 129.862 233.466 7 3 16 5 1 206.865 60.889 308.280 8 3 16 43 1 206.865 60.889 308.280 9 3 16 43 1 206.865 60.889 308.280 10 3 16 43 1 32.741 35.872 10.181 11 3 16 25 1 32.741 35.872 10.181 12 3 16 25 1 32.741 35.872 10.181 13 3 16 25 1 32.741 35.872 10.181 14 3 16 25 1 32.741 35.872 10.181 15 3 16 25 1 32.741 35.872 10.181 16 3 16 25 1 359.146 112.896 37.983 17 3 16 6 1 359.146 112.896 37.983 18 3 16 6 1 359.146 112.896 37.983 19 3 16 6 1 359.146 112.896 37.983 20 3 16 6 1 213.704 129.862 233.466 1 4 16 5 1 213.704 129.862 233.466 2 4 16 5 1 213.704 129.862 233.466 3 4 16 5 1 213.704 129.862 233.466 4 4 16 5 1 213.704 129.862 233.466 5 4 16 5 1 213.704 129.862 233.466 6 4 16 5 1 206.865 60.889 308.280 7 4 16 43 1 206.865 60.889 308.280 8 4 16 43 1 206.865 60.889 308.280 9 4 16 43 1 206.865 60.889 308.280 10 4 16 43 1 206.865 60.889 308.280 11 4 16 43 1 32.741 35.872 10.181 12 4 16 25 1 32.741 35.872 10.181 13 4 16 25 1 32.741 35.872 10.181 14 4 16 25 1 32.741 35.872 10.181 15 4 16 25 1 155.686 60.526 232.560 16 4 16 41 1 359.146 112.896 37.983 17 4 16 6 1 359.146 112.896 37.983 18 4 16 6 1 359.146 112.896 37.983 19 4 16 6 1 359.146 112.896 37.983 20 4 16 6 1 213.704 129.862 233.466 1 5 16 5 1 213.704 129.862 233.466 2 5 16 5 1 213.704 129.862 233.466 3 5 16 5 1 213.704 129.862 233.466 4 5 16 5 1 213.704 129.862 233.466 5 5 16 5 1 213.704 129.862 233.466 6 5 16 5 1 206.865 60.889 308.280 7 5 16 43 1 206.865 60.889 308.280 8 5 16 43 1 206.865 60.889 308.280 9 5 16 43 1 206.865 60.889 308.280 10 5 16 43 1 206.865 60.889 308.280 11 5 16 43 1 206.865 60.889 308.280 12 5 16 43 1 32.741 35.872 10.181 13 5 16 25 1 32.741 35.872 10.181 14 5 16 25 1 32.741 35.872 10.181 15 5 16 25 1 155.686 60.526 232.560 16 5 16 41 1 337.952 156.456 36.702 17 5 16 24 1 337.952 156.456 36.702 18 5 16 24 1 337.952 156.456 36.702 19 5 16 24 1 337.952 156.456 36.702 20 5 16 24 1 195.836 46.286 27.037 1 6 16 34 1 213.704 129.862 233.466 2 6 16 5 1 213.704 129.862 233.466 3 6 16 5 1 213.704 129.862 233.466 4 6 16 5 1 213.704 129.862 233.466 5 6 16 5 1 213.704 129.862 233.466 6 6 16 5 1 206.865 60.889 308.280 7 6 16 43 1 206.865 60.889 308.280 8 6 16 43 1 206.865 60.889 308.280 9 6 16 43 1 206.865 60.889 308.280 10 6 16 43 1 206.865 60.889 308.280 11 6 16 43 1 206.865 60.889 308.280 12 6 16 43 1 206.865 60.889 308.280 13 6 16 43 1 32.741 35.872 10.181 14 6 16 25 1 32.741 35.872 10.181 15 6 16 25 1 337.952 156.456 36.702 16 6 16 24 1 337.952 156.456 36.702 17 6 16 24 1 337.952 156.456 36.702 18 6 16 24 1 337.952 156.456 36.702 19 6 16 24 1 337.952 156.456 36.702 20 6 16 24 1 195.836 46.286 27.037 1 7 16 34 1 195.836 46.286 27.037 2 7 16 34 1 195.836 46.286 27.037 3 7 16 34 1 195.836 46.286 27.037 4 7 16 34 1 195.836 46.286 27.037 5 7 16 34 1 206.865 60.889 308.280 6 7 16 43 1 206.865 60.889 308.280 7 7 16 43 1 206.865 60.889 308.280 8 7 16 43 1 206.865 60.889 308.280 9 7 16 43 1 206.865 60.889 308.280 10 7 16 43 1 206.865 60.889 308.280 11 7 16 43 1 206.865 60.889 308.280 12 7 16 43 1 206.865 60.889 308.280 13 7 16 43 1 32.741 35.872 10.181 14 7 16 25 1 155.686 60.526 232.560 15 7 16 41 1 337.952 156.456 36.702 16 7 16 24 1 337.952 156.456 36.702 17 7 16 24 1 337.952 156.456 36.702 18 7 16 24 1 337.952 156.456 36.702 19 7 16 24 1 337.952 156.456 36.702 20 7 16 24 1 195.836 46.286 27.037 1 8 16 34 1 195.836 46.286 27.037 2 8 16 34 1 195.836 46.286 27.037 3 8 16 34 1 195.836 46.286 27.037 4 8 16 34 1 195.836 46.286 27.037 5 8 16 34 1 195.836 46.286 27.037 6 8 16 34 1 206.865 60.889 308.280 7 8 16 43 1 206.865 60.889 308.280 8 8 16 43 1 206.865 60.889 308.280 9 8 16 43 1 206.865 60.889 308.280 10 8 16 43 1 206.865 60.889 308.280 11 8 16 43 1 206.865 60.889 308.280 12 8 16 43 1 206.865 60.889 308.280 13 8 16 43 1 206.865 60.889 308.280 14 8 16 43 1 111.594 70.700 44.838 15 8 16 20 1 337.952 156.456 36.702 16 8 16 24 1 337.952 156.456 36.702 17 8 16 24 1 337.952 156.456 36.702 18 8 16 24 1 337.952 156.456 36.702 19 8 16 24 1 337.952 156.456 36.702 20 8 16 24 1 195.836 46.286 27.037 1 9 16 34 1 195.836 46.286 27.037 2 9 16 34 1 195.836 46.286 27.037 3 9 16 34 1 195.836 46.286 27.037 4 9 16 34 1 195.836 46.286 27.037 5 9 16 34 1 61.871 127.308 31.203 6 9 16 16 1 61.871 127.308 31.203 7 9 16 16 1 61.871 127.308 31.203 8 9 16 16 1 206.865 60.889 308.280 9 9 16 43 1 206.865 60.889 308.280 10 9 16 43 1 206.865 60.889 308.280 11 9 16 43 1 206.865 60.889 308.280 12 9 16 43 1 111.594 70.700 44.838 13 9 16 20 1 111.594 70.700 44.838 14 9 16 20 1 111.594 70.700 44.838 15 9 16 20 1 111.594 70.700 44.838 16 9 16 20 1 111.594 70.700 44.838 17 9 16 20 1 111.594 70.700 44.838 18 9 16 20 1 337.952 156.456 36.702 19 9 16 24 1 337.952 156.456 36.702 20 9 16 24 1 195.836 46.286 27.037 1 10 16 34 1 195.836 46.286 27.037 2 10 16 34 1 195.836 46.286 27.037 3 10 16 34 1 195.836 46.286 27.037 4 10 16 34 1 195.836 46.286 27.037 5 10 16 34 1 61.871 127.308 31.203 6 10 16 16 1 61.871 127.308 31.203 7 10 16 16 1 61.871 127.308 31.203 8 10 16 16 1 61.871 127.308 31.203 9 10 16 16 1 61.871 127.308 31.203 10 10 16 16 1 61.871 127.308 31.203 11 10 16 16 1 111.594 70.700 44.838 12 10 16 20 1 111.594 70.700 44.838 13 10 16 20 1 111.594 70.700 44.838 14 10 16 20 1 111.594 70.700 44.838 15 10 16 20 1 111.594 70.700 44.838 16 10 16 20 1 111.594 70.700 44.838 17 10 16 20 1 111.594 70.700 44.838 18 10 16 20 1 111.594 70.700 44.838 19 10 16 20 1 337.952 156.456 36.702 20 10 16 24 1 195.836 46.286 27.037 1 11 16 34 1 195.836 46.286 27.037 2 11 16 34 1 195.836 46.286 27.037 3 11 16 34 1 195.836 46.286 27.037 4 11 16 34 1 61.871 127.308 31.203 5 11 16 16 1 61.871 127.308 31.203 6 11 16 16 1 61.871 127.308 31.203 7 11 16 16 1 61.871 127.308 31.203 8 11 16 16 1 61.871 127.308 31.203 9 11 16 16 1 61.871 127.308 31.203 10 11 16 16 1 61.871 127.308 31.203 11 11 16 16 1 111.594 70.700 44.838 12 11 16 20 1 111.594 70.700 44.838 13 11 16 20 1 111.594 70.700 44.838 14 11 16 20 1 111.594 70.700 44.838 15 11 16 20 1 111.594 70.700 44.838 16 11 16 20 1 111.594 70.700 44.838 17 11 16 20 1 111.594 70.700 44.838 18 11 16 20 1 111.594 70.700 44.838 19 11 16 20 1 313.941 133.588 281.173 20 11 16 31 1 174.974 118.636 115.906 1 12 16 18 1 174.974 118.636 115.906 2 12 16 18 1 174.974 118.636 115.906 3 12 16 18 1 174.974 118.636 115.906 4 12 16 18 1 61.871 127.308 31.203 5 12 16 16 1 61.871 127.308 31.203 6 12 16 16 1 61.871 127.308 31.203 7 12 16 16 1 61.871 127.308 31.203 8 12 16 16 1 61.871 127.308 31.203 9 12 16 16 1 61.871 127.308 31.203 10 12 16 16 1 61.871 127.308 31.203 11 12 16 16 1 111.594 70.700 44.838 12 12 16 20 1 111.594 70.700 44.838 13 12 16 20 1 111.594 70.700 44.838 14 12 16 20 1 111.594 70.700 44.838 15 12 16 20 1 111.594 70.700 44.838 16 12 16 20 1 111.594 70.700 44.838 17 12 16 20 1 111.594 70.700 44.838 18 12 16 20 1 313.941 133.588 281.173 19 12 16 31 1 313.941 133.588 281.173 20 12 16 31 1 174.974 118.636 115.906 1 13 16 18 1 174.974 118.636 115.906 2 13 16 18 1 174.974 118.636 115.906 3 13 16 18 1 174.974 118.636 115.906 4 13 16 18 1 174.974 118.636 115.906 5 13 16 18 1 61.871 127.308 31.203 6 13 16 16 1 61.871 127.308 31.203 7 13 16 16 1 61.871 127.308 31.203 8 13 16 16 1 61.871 127.308 31.203 9 13 16 16 1 61.871 127.308 31.203 10 13 16 16 1 61.871 127.308 31.203 11 13 16 16 1 111.594 70.700 44.838 12 13 16 20 1 111.594 70.700 44.838 13 13 16 20 1 111.594 70.700 44.838 14 13 16 20 1 111.594 70.700 44.838 15 13 16 20 1 111.594 70.700 44.838 16 13 16 20 1 111.594 70.700 44.838 17 13 16 20 1 313.941 133.588 281.173 18 13 16 31 1 313.941 133.588 281.173 19 13 16 31 1 313.941 133.588 281.173 20 13 16 31 1 174.974 118.636 115.906 1 14 16 18 1 174.974 118.636 115.906 2 14 16 18 1 174.974 118.636 115.906 3 14 16 18 1 174.974 118.636 115.906 4 14 16 18 1 174.974 118.636 115.906 5 14 16 18 1 61.871 127.308 31.203 6 14 16 16 1 61.871 127.308 31.203 7 14 16 16 1 61.871 127.308 31.203 8 14 16 16 1 61.871 127.308 31.203 9 14 16 16 1 193.199 106.176 102.671 10 14 16 29 1 193.199 106.176 102.671 11 14 16 29 1 193.199 106.176 102.671 12 14 16 29 1 193.199 106.176 102.671 13 14 16 29 1 111.594 70.700 44.838 14 14 16 20 1 111.594 70.700 44.838 15 14 16 20 1 111.594 70.700 44.838 16 14 16 20 1 313.941 133.588 281.173 17 14 16 31 1 313.941 133.588 281.173 18 14 16 31 1 313.941 133.588 281.173 19 14 16 31 1 313.941 133.588 281.173 20 14 16 31 1 174.974 118.636 115.906 1 15 16 18 1 174.974 118.636 115.906 2 15 16 18 1 174.974 118.636 115.906 3 15 16 18 1 174.974 118.636 115.906 4 15 16 18 1 174.974 118.636 115.906 5 15 16 18 1 174.974 118.636 115.906 6 15 16 18 1 61.871 127.308 31.203 7 15 16 16 1 193.199 106.176 102.671 8 15 16 29 1 193.199 106.176 102.671 9 15 16 29 1 193.199 106.176 102.671 10 15 16 29 1 193.199 106.176 102.671 11 15 16 29 1 193.199 106.176 102.671 12 15 16 29 1 193.199 106.176 102.671 13 15 16 29 1 307.313 113.083 57.838 14 15 16 19 1 307.313 113.083 57.838 15 15 16 19 1 307.313 113.083 57.838 16 15 16 19 1 307.313 113.083 57.838 17 15 16 19 1 307.313 113.083 57.838 18 15 16 19 1 313.941 133.588 281.173 19 15 16 31 1 313.941 133.588 281.173 20 15 16 31 1 174.974 118.636 115.906 1 16 16 18 1 174.974 118.636 115.906 2 16 16 18 1 174.974 118.636 115.906 3 16 16 18 1 174.974 118.636 115.906 4 16 16 18 1 174.974 118.636 115.906 5 16 16 18 1 174.974 118.636 115.906 6 16 16 18 1 193.199 106.176 102.671 7 16 16 29 1 193.199 106.176 102.671 8 16 16 29 1 193.199 106.176 102.671 9 16 16 29 1 193.199 106.176 102.671 10 16 16 29 1 193.199 106.176 102.671 11 16 16 29 1 193.199 106.176 102.671 12 16 16 29 1 193.199 106.176 102.671 13 16 16 29 1 307.313 113.083 57.838 14 16 16 19 1 307.313 113.083 57.838 15 16 16 19 1 307.313 113.083 57.838 16 16 16 19 1 307.313 113.083 57.838 17 16 16 19 1 307.313 113.083 57.838 18 16 16 19 1 307.313 113.083 57.838 19 16 16 19 1 313.941 133.588 281.173 20 16 16 31 1 174.974 118.636 115.906 1 17 16 18 1 174.974 118.636 115.906 2 17 16 18 1 174.974 118.636 115.906 3 17 16 18 1 174.974 118.636 115.906 4 17 16 18 1 140.911 146.459 236.524 5 17 16 28 1 140.911 146.459 236.524 6 17 16 28 1 193.199 106.176 102.671 7 17 16 29 1 193.199 106.176 102.671 8 17 16 29 1 193.199 106.176 102.671 9 17 16 29 1 193.199 106.176 102.671 10 17 16 29 1 193.199 106.176 102.671 11 17 16 29 1 193.199 106.176 102.671 12 17 16 29 1 193.199 106.176 102.671 13 17 16 29 1 307.313 113.083 57.838 14 17 16 19 1 307.313 113.083 57.838 15 17 16 19 1 307.313 113.083 57.838 16 17 16 19 1 307.313 113.083 57.838 17 17 16 19 1 307.313 113.083 57.838 18 17 16 19 1 307.313 113.083 57.838 19 17 16 19 1 313.941 133.588 281.173 20 17 16 31 1 140.911 146.459 236.524 1 18 16 28 1 140.911 146.459 236.524 2 18 16 28 1 140.911 146.459 236.524 3 18 16 28 1 140.911 146.459 236.524 4 18 16 28 1 140.911 146.459 236.524 5 18 16 28 1 140.911 146.459 236.524 6 18 16 28 1 140.911 146.459 236.524 7 18 16 28 1 193.199 106.176 102.671 8 18 16 29 1 193.199 106.176 102.671 9 18 16 29 1 193.199 106.176 102.671 10 18 16 29 1 193.199 106.176 102.671 11 18 16 29 1 193.199 106.176 102.671 12 18 16 29 1 193.199 106.176 102.671 13 18 16 29 1 307.313 113.083 57.838 14 18 16 19 1 307.313 113.083 57.838 15 18 16 19 1 307.313 113.083 57.838 16 18 16 19 1 307.313 113.083 57.838 17 18 16 19 1 307.313 113.083 57.838 18 18 16 19 1 307.313 113.083 57.838 19 18 16 19 1 307.313 113.083 57.838 20 18 16 19 1 140.911 146.459 236.524 1 19 16 28 1 140.911 146.459 236.524 2 19 16 28 1 140.911 146.459 236.524 3 19 16 28 1 140.911 146.459 236.524 4 19 16 28 1 140.911 146.459 236.524 5 19 16 28 1 140.911 146.459 236.524 6 19 16 28 1 140.911 146.459 236.524 7 19 16 28 1 193.199 106.176 102.671 8 19 16 29 1 193.199 106.176 102.671 9 19 16 29 1 193.199 106.176 102.671 10 19 16 29 1 193.199 106.176 102.671 11 19 16 29 1 193.199 106.176 102.671 12 19 16 29 1 193.199 106.176 102.671 13 19 16 29 1 307.313 113.083 57.838 14 19 16 19 1 307.313 113.083 57.838 15 19 16 19 1 307.313 113.083 57.838 16 19 16 19 1 307.313 113.083 57.838 17 19 16 19 1 307.313 113.083 57.838 18 19 16 19 1 147.237 136.696 99.729 19 19 16 9 1 147.237 136.696 99.729 20 19 16 9 1 140.911 146.459 236.524 1 20 16 28 1 140.911 146.459 236.524 2 20 16 28 1 140.911 146.459 236.524 3 20 16 28 1 140.911 146.459 236.524 4 20 16 28 1 140.911 146.459 236.524 5 20 16 28 1 140.911 146.459 236.524 6 20 16 28 1 140.911 146.459 236.524 7 20 16 28 1 140.911 146.459 236.524 8 20 16 28 1 223.840 69.973 177.562 9 20 16 37 1 193.199 106.176 102.671 10 20 16 29 1 193.199 106.176 102.671 11 20 16 29 1 193.199 106.176 102.671 12 20 16 29 1 193.199 106.176 102.671 13 20 16 29 1 307.313 113.083 57.838 14 20 16 19 1 307.313 113.083 57.838 15 20 16 19 1 307.313 113.083 57.838 16 20 16 19 1 307.313 113.083 57.838 17 20 16 19 1 147.237 136.696 99.729 18 20 16 9 1 147.237 136.696 99.729 19 20 16 9 1 147.237 136.696 99.729 20 20 16 9 1 213.704 129.862 233.466 1 1 17 5 1 213.704 129.862 233.466 2 1 17 5 1 213.704 129.862 233.466 3 1 17 5 1 213.704 129.862 233.466 4 1 17 5 1 213.704 129.862 233.466 5 1 17 5 1 213.704 129.862 233.466 6 1 17 5 1 213.704 129.862 233.466 7 1 17 5 1 29.107 41.050 111.993 8 1 17 12 1 32.741 35.872 10.181 9 1 17 25 1 32.741 35.872 10.181 10 1 17 25 1 32.741 35.872 10.181 11 1 17 25 1 32.741 35.872 10.181 12 1 17 25 1 32.741 35.872 10.181 13 1 17 25 1 21.084 85.761 243.412 14 1 17 46 1 21.084 85.761 243.412 15 1 17 46 1 21.084 85.761 243.412 16 1 17 46 1 21.084 85.761 243.412 17 1 17 46 1 21.084 85.761 243.412 18 1 17 46 1 21.084 85.761 243.412 19 1 17 46 1 62.280 67.002 307.632 20 1 17 35 1 213.704 129.862 233.466 1 2 17 5 1 213.704 129.862 233.466 2 2 17 5 1 213.704 129.862 233.466 3 2 17 5 1 213.704 129.862 233.466 4 2 17 5 1 213.704 129.862 233.466 5 2 17 5 1 213.704 129.862 233.466 6 2 17 5 1 29.107 41.050 111.993 7 2 17 12 1 29.107 41.050 111.993 8 2 17 12 1 32.741 35.872 10.181 9 2 17 25 1 32.741 35.872 10.181 10 2 17 25 1 32.741 35.872 10.181 11 2 17 25 1 32.741 35.872 10.181 12 2 17 25 1 32.741 35.872 10.181 13 2 17 25 1 32.741 35.872 10.181 14 2 17 25 1 21.084 85.761 243.412 15 2 17 46 1 21.084 85.761 243.412 16 2 17 46 1 21.084 85.761 243.412 17 2 17 46 1 21.084 85.761 243.412 18 2 17 46 1 21.084 85.761 243.412 19 2 17 46 1 62.280 67.002 307.632 20 2 17 35 1 213.704 129.862 233.466 1 3 17 5 1 213.704 129.862 233.466 2 3 17 5 1 213.704 129.862 233.466 3 3 17 5 1 213.704 129.862 233.466 4 3 17 5 1 213.704 129.862 233.466 5 3 17 5 1 213.704 129.862 233.466 6 3 17 5 1 213.704 129.862 233.466 7 3 17 5 1 206.865 60.889 308.280 8 3 17 43 1 206.865 60.889 308.280 9 3 17 43 1 32.741 35.872 10.181 10 3 17 25 1 32.741 35.872 10.181 11 3 17 25 1 32.741 35.872 10.181 12 3 17 25 1 32.741 35.872 10.181 13 3 17 25 1 32.741 35.872 10.181 14 3 17 25 1 32.741 35.872 10.181 15 3 17 25 1 21.084 85.761 243.412 16 3 17 46 1 21.084 85.761 243.412 17 3 17 46 1 21.084 85.761 243.412 18 3 17 46 1 21.084 85.761 243.412 19 3 17 46 1 359.146 112.896 37.983 20 3 17 6 1 213.704 129.862 233.466 1 4 17 5 1 213.704 129.862 233.466 2 4 17 5 1 213.704 129.862 233.466 3 4 17 5 1 213.704 129.862 233.466 4 4 17 5 1 213.704 129.862 233.466 5 4 17 5 1 213.704 129.862 233.466 6 4 17 5 1 206.865 60.889 308.280 7 4 17 43 1 206.865 60.889 308.280 8 4 17 43 1 206.865 60.889 308.280 9 4 17 43 1 206.865 60.889 308.280 10 4 17 43 1 32.741 35.872 10.181 11 4 17 25 1 32.741 35.872 10.181 12 4 17 25 1 32.741 35.872 10.181 13 4 17 25 1 32.741 35.872 10.181 14 4 17 25 1 32.741 35.872 10.181 15 4 17 25 1 21.084 85.761 243.412 16 4 17 46 1 21.084 85.761 243.412 17 4 17 46 1 337.952 156.456 36.702 18 4 17 24 1 337.952 156.456 36.702 19 4 17 24 1 337.952 156.456 36.702 20 4 17 24 1 134.113 92.523 201.119 1 5 17 36 1 134.113 92.523 201.119 2 5 17 36 1 213.704 129.862 233.466 3 5 17 5 1 213.704 129.862 233.466 4 5 17 5 1 213.704 129.862 233.466 5 5 17 5 1 213.704 129.862 233.466 6 5 17 5 1 206.865 60.889 308.280 7 5 17 43 1 206.865 60.889 308.280 8 5 17 43 1 206.865 60.889 308.280 9 5 17 43 1 206.865 60.889 308.280 10 5 17 43 1 206.865 60.889 308.280 11 5 17 43 1 32.741 35.872 10.181 12 5 17 25 1 32.741 35.872 10.181 13 5 17 25 1 32.741 35.872 10.181 14 5 17 25 1 32.741 35.872 10.181 15 5 17 25 1 337.952 156.456 36.702 16 5 17 24 1 337.952 156.456 36.702 17 5 17 24 1 337.952 156.456 36.702 18 5 17 24 1 337.952 156.456 36.702 19 5 17 24 1 337.952 156.456 36.702 20 5 17 24 1 134.113 92.523 201.119 1 6 17 36 1 134.113 92.523 201.119 2 6 17 36 1 134.113 92.523 201.119 3 6 17 36 1 134.113 92.523 201.119 4 6 17 36 1 134.113 92.523 201.119 5 6 17 36 1 206.865 60.889 308.280 6 6 17 43 1 206.865 60.889 308.280 7 6 17 43 1 206.865 60.889 308.280 8 6 17 43 1 206.865 60.889 308.280 9 6 17 43 1 206.865 60.889 308.280 10 6 17 43 1 206.865 60.889 308.280 11 6 17 43 1 206.865 60.889 308.280 12 6 17 43 1 32.741 35.872 10.181 13 6 17 25 1 32.741 35.872 10.181 14 6 17 25 1 32.741 35.872 10.181 15 6 17 25 1 337.952 156.456 36.702 16 6 17 24 1 337.952 156.456 36.702 17 6 17 24 1 337.952 156.456 36.702 18 6 17 24 1 337.952 156.456 36.702 19 6 17 24 1 337.952 156.456 36.702 20 6 17 24 1 195.836 46.286 27.037 1 7 17 34 1 195.836 46.286 27.037 2 7 17 34 1 134.113 92.523 201.119 3 7 17 36 1 134.113 92.523 201.119 4 7 17 36 1 134.113 92.523 201.119 5 7 17 36 1 206.865 60.889 308.280 6 7 17 43 1 206.865 60.889 308.280 7 7 17 43 1 206.865 60.889 308.280 8 7 17 43 1 206.865 60.889 308.280 9 7 17 43 1 206.865 60.889 308.280 10 7 17 43 1 206.865 60.889 308.280 11 7 17 43 1 206.865 60.889 308.280 12 7 17 43 1 206.865 60.889 308.280 13 7 17 43 1 32.741 35.872 10.181 14 7 17 25 1 32.741 35.872 10.181 15 7 17 25 1 337.952 156.456 36.702 16 7 17 24 1 337.952 156.456 36.702 17 7 17 24 1 337.952 156.456 36.702 18 7 17 24 1 337.952 156.456 36.702 19 7 17 24 1 337.952 156.456 36.702 20 7 17 24 1 195.836 46.286 27.037 1 8 17 34 1 195.836 46.286 27.037 2 8 17 34 1 195.836 46.286 27.037 3 8 17 34 1 195.836 46.286 27.037 4 8 17 34 1 195.836 46.286 27.037 5 8 17 34 1 206.865 60.889 308.280 6 8 17 43 1 206.865 60.889 308.280 7 8 17 43 1 206.865 60.889 308.280 8 8 17 43 1 206.865 60.889 308.280 9 8 17 43 1 206.865 60.889 308.280 10 8 17 43 1 206.865 60.889 308.280 11 8 17 43 1 206.865 60.889 308.280 12 8 17 43 1 206.865 60.889 308.280 13 8 17 43 1 206.865 60.889 308.280 14 8 17 43 1 337.952 156.456 36.702 15 8 17 24 1 337.952 156.456 36.702 16 8 17 24 1 337.952 156.456 36.702 17 8 17 24 1 337.952 156.456 36.702 18 8 17 24 1 337.952 156.456 36.702 19 8 17 24 1 337.952 156.456 36.702 20 8 17 24 1 195.836 46.286 27.037 1 9 17 34 1 195.836 46.286 27.037 2 9 17 34 1 195.836 46.286 27.037 3 9 17 34 1 195.836 46.286 27.037 4 9 17 34 1 195.836 46.286 27.037 5 9 17 34 1 61.871 127.308 31.203 6 9 17 16 1 61.871 127.308 31.203 7 9 17 16 1 61.871 127.308 31.203 8 9 17 16 1 206.865 60.889 308.280 9 9 17 43 1 206.865 60.889 308.280 10 9 17 43 1 206.865 60.889 308.280 11 9 17 43 1 206.865 60.889 308.280 12 9 17 43 1 111.594 70.700 44.838 13 9 17 20 1 111.594 70.700 44.838 14 9 17 20 1 111.594 70.700 44.838 15 9 17 20 1 337.952 156.456 36.702 16 9 17 24 1 337.952 156.456 36.702 17 9 17 24 1 337.952 156.456 36.702 18 9 17 24 1 337.952 156.456 36.702 19 9 17 24 1 337.952 156.456 36.702 20 9 17 24 1 195.836 46.286 27.037 1 10 17 34 1 195.836 46.286 27.037 2 10 17 34 1 195.836 46.286 27.037 3 10 17 34 1 195.836 46.286 27.037 4 10 17 34 1 195.836 46.286 27.037 5 10 17 34 1 61.871 127.308 31.203 6 10 17 16 1 61.871 127.308 31.203 7 10 17 16 1 61.871 127.308 31.203 8 10 17 16 1 61.871 127.308 31.203 9 10 17 16 1 61.871 127.308 31.203 10 10 17 16 1 206.865 60.889 308.280 11 10 17 43 1 111.594 70.700 44.838 12 10 17 20 1 111.594 70.700 44.838 13 10 17 20 1 111.594 70.700 44.838 14 10 17 20 1 111.594 70.700 44.838 15 10 17 20 1 111.594 70.700 44.838 16 10 17 20 1 111.594 70.700 44.838 17 10 17 20 1 111.594 70.700 44.838 18 10 17 20 1 313.941 133.588 281.173 19 10 17 31 1 337.952 156.456 36.702 20 10 17 24 1 195.836 46.286 27.037 1 11 17 34 1 195.836 46.286 27.037 2 11 17 34 1 195.836 46.286 27.037 3 11 17 34 1 174.974 118.636 115.906 4 11 17 18 1 174.974 118.636 115.906 5 11 17 18 1 61.871 127.308 31.203 6 11 17 16 1 61.871 127.308 31.203 7 11 17 16 1 61.871 127.308 31.203 8 11 17 16 1 61.871 127.308 31.203 9 11 17 16 1 61.871 127.308 31.203 10 11 17 16 1 61.871 127.308 31.203 11 11 17 16 1 111.594 70.700 44.838 12 11 17 20 1 111.594 70.700 44.838 13 11 17 20 1 111.594 70.700 44.838 14 11 17 20 1 111.594 70.700 44.838 15 11 17 20 1 111.594 70.700 44.838 16 11 17 20 1 111.594 70.700 44.838 17 11 17 20 1 313.941 133.588 281.173 18 11 17 31 1 313.941 133.588 281.173 19 11 17 31 1 313.941 133.588 281.173 20 11 17 31 1 174.974 118.636 115.906 1 12 17 18 1 174.974 118.636 115.906 2 12 17 18 1 174.974 118.636 115.906 3 12 17 18 1 174.974 118.636 115.906 4 12 17 18 1 174.974 118.636 115.906 5 12 17 18 1 61.871 127.308 31.203 6 12 17 16 1 61.871 127.308 31.203 7 12 17 16 1 61.871 127.308 31.203 8 12 17 16 1 61.871 127.308 31.203 9 12 17 16 1 61.871 127.308 31.203 10 12 17 16 1 61.871 127.308 31.203 11 12 17 16 1 111.594 70.700 44.838 12 12 17 20 1 111.594 70.700 44.838 13 12 17 20 1 111.594 70.700 44.838 14 12 17 20 1 111.594 70.700 44.838 15 12 17 20 1 111.594 70.700 44.838 16 12 17 20 1 313.941 133.588 281.173 17 12 17 31 1 313.941 133.588 281.173 18 12 17 31 1 313.941 133.588 281.173 19 12 17 31 1 313.941 133.588 281.173 20 12 17 31 1 174.974 118.636 115.906 1 13 17 18 1 174.974 118.636 115.906 2 13 17 18 1 174.974 118.636 115.906 3 13 17 18 1 174.974 118.636 115.906 4 13 17 18 1 174.974 118.636 115.906 5 13 17 18 1 61.871 127.308 31.203 6 13 17 16 1 61.871 127.308 31.203 7 13 17 16 1 61.871 127.308 31.203 8 13 17 16 1 61.871 127.308 31.203 9 13 17 16 1 61.871 127.308 31.203 10 13 17 16 1 61.871 127.308 31.203 11 13 17 16 1 111.594 70.700 44.838 12 13 17 20 1 111.594 70.700 44.838 13 13 17 20 1 111.594 70.700 44.838 14 13 17 20 1 313.941 133.588 281.173 15 13 17 31 1 313.941 133.588 281.173 16 13 17 31 1 313.941 133.588 281.173 17 13 17 31 1 313.941 133.588 281.173 18 13 17 31 1 313.941 133.588 281.173 19 13 17 31 1 313.941 133.588 281.173 20 13 17 31 1 174.974 118.636 115.906 1 14 17 18 1 174.974 118.636 115.906 2 14 17 18 1 174.974 118.636 115.906 3 14 17 18 1 174.974 118.636 115.906 4 14 17 18 1 174.974 118.636 115.906 5 14 17 18 1 174.974 118.636 115.906 6 14 17 18 1 61.871 127.308 31.203 7 14 17 16 1 61.871 127.308 31.203 8 14 17 16 1 61.871 127.308 31.203 9 14 17 16 1 61.871 127.308 31.203 10 14 17 16 1 193.199 106.176 102.671 11 14 17 29 1 193.199 106.176 102.671 12 14 17 29 1 193.199 106.176 102.671 13 14 17 29 1 111.594 70.700 44.838 14 14 17 20 1 313.941 133.588 281.173 15 14 17 31 1 313.941 133.588 281.173 16 14 17 31 1 313.941 133.588 281.173 17 14 17 31 1 313.941 133.588 281.173 18 14 17 31 1 313.941 133.588 281.173 19 14 17 31 1 313.941 133.588 281.173 20 14 17 31 1 174.974 118.636 115.906 1 15 17 18 1 174.974 118.636 115.906 2 15 17 18 1 174.974 118.636 115.906 3 15 17 18 1 174.974 118.636 115.906 4 15 17 18 1 174.974 118.636 115.906 5 15 17 18 1 174.974 118.636 115.906 6 15 17 18 1 61.871 127.308 31.203 7 15 17 16 1 61.871 127.308 31.203 8 15 17 16 1 61.871 127.308 31.203 9 15 17 16 1 193.199 106.176 102.671 10 15 17 29 1 193.199 106.176 102.671 11 15 17 29 1 193.199 106.176 102.671 12 15 17 29 1 193.199 106.176 102.671 13 15 17 29 1 313.941 133.588 281.173 14 15 17 31 1 313.941 133.588 281.173 15 15 17 31 1 313.941 133.588 281.173 16 15 17 31 1 313.941 133.588 281.173 17 15 17 31 1 313.941 133.588 281.173 18 15 17 31 1 313.941 133.588 281.173 19 15 17 31 1 313.941 133.588 281.173 20 15 17 31 1 174.974 118.636 115.906 1 16 17 18 1 174.974 118.636 115.906 2 16 17 18 1 174.974 118.636 115.906 3 16 17 18 1 174.974 118.636 115.906 4 16 17 18 1 174.974 118.636 115.906 5 16 17 18 1 174.974 118.636 115.906 6 16 17 18 1 174.974 118.636 115.906 7 16 17 18 1 193.199 106.176 102.671 8 16 17 29 1 193.199 106.176 102.671 9 16 17 29 1 193.199 106.176 102.671 10 16 17 29 1 193.199 106.176 102.671 11 16 17 29 1 193.199 106.176 102.671 12 16 17 29 1 193.199 106.176 102.671 13 16 17 29 1 307.313 113.083 57.838 14 16 17 19 1 307.313 113.083 57.838 15 16 17 19 1 313.941 133.588 281.173 16 16 17 31 1 313.941 133.588 281.173 17 16 17 31 1 313.941 133.588 281.173 18 16 17 31 1 313.941 133.588 281.173 19 16 17 31 1 313.941 133.588 281.173 20 16 17 31 1 174.974 118.636 115.906 1 17 17 18 1 174.974 118.636 115.906 2 17 17 18 1 174.974 118.636 115.906 3 17 17 18 1 174.974 118.636 115.906 4 17 17 18 1 174.974 118.636 115.906 5 17 17 18 1 174.974 118.636 115.906 6 17 17 18 1 174.974 118.636 115.906 7 17 17 18 1 193.199 106.176 102.671 8 17 17 29 1 193.199 106.176 102.671 9 17 17 29 1 193.199 106.176 102.671 10 17 17 29 1 193.199 106.176 102.671 11 17 17 29 1 193.199 106.176 102.671 12 17 17 29 1 193.199 106.176 102.671 13 17 17 29 1 307.313 113.083 57.838 14 17 17 19 1 307.313 113.083 57.838 15 17 17 19 1 307.313 113.083 57.838 16 17 17 19 1 313.941 133.588 281.173 17 17 17 31 1 313.941 133.588 281.173 18 17 17 31 1 313.941 133.588 281.173 19 17 17 31 1 313.941 133.588 281.173 20 17 17 31 1 174.974 118.636 115.906 1 18 17 18 1 174.974 118.636 115.906 2 18 17 18 1 174.974 118.636 115.906 3 18 17 18 1 140.911 146.459 236.524 4 18 17 28 1 140.911 146.459 236.524 5 18 17 28 1 140.911 146.459 236.524 6 18 17 28 1 223.840 69.973 177.562 7 18 17 37 1 223.840 69.973 177.562 8 18 17 37 1 223.840 69.973 177.562 9 18 17 37 1 193.199 106.176 102.671 10 18 17 29 1 193.199 106.176 102.671 11 18 17 29 1 193.199 106.176 102.671 12 18 17 29 1 193.199 106.176 102.671 13 18 17 29 1 307.313 113.083 57.838 14 18 17 19 1 307.313 113.083 57.838 15 18 17 19 1 307.313 113.083 57.838 16 18 17 19 1 307.313 113.083 57.838 17 18 17 19 1 313.941 133.588 281.173 18 18 17 31 1 313.941 133.588 281.173 19 18 17 31 1 313.941 133.588 281.173 20 18 17 31 1 140.911 146.459 236.524 1 19 17 28 1 140.911 146.459 236.524 2 19 17 28 1 140.911 146.459 236.524 3 19 17 28 1 140.911 146.459 236.524 4 19 17 28 1 140.911 146.459 236.524 5 19 17 28 1 223.840 69.973 177.562 6 19 17 37 1 223.840 69.973 177.562 7 19 17 37 1 223.840 69.973 177.562 8 19 17 37 1 223.840 69.973 177.562 9 19 17 37 1 223.840 69.973 177.562 10 19 17 37 1 223.840 69.973 177.562 11 19 17 37 1 193.199 106.176 102.671 12 19 17 29 1 193.199 106.176 102.671 13 19 17 29 1 307.313 113.083 57.838 14 19 17 19 1 307.313 113.083 57.838 15 19 17 19 1 147.237 136.696 99.729 16 19 17 9 1 147.237 136.696 99.729 17 19 17 9 1 147.237 136.696 99.729 18 19 17 9 1 147.237 136.696 99.729 19 19 17 9 1 147.237 136.696 99.729 20 19 17 9 1 140.911 146.459 236.524 1 20 17 28 1 140.911 146.459 236.524 2 20 17 28 1 140.911 146.459 236.524 3 20 17 28 1 140.911 146.459 236.524 4 20 17 28 1 140.911 146.459 236.524 5 20 17 28 1 223.840 69.973 177.562 6 20 17 37 1 223.840 69.973 177.562 7 20 17 37 1 223.840 69.973 177.562 8 20 17 37 1 223.840 69.973 177.562 9 20 17 37 1 223.840 69.973 177.562 10 20 17 37 1 223.840 69.973 177.562 11 20 17 37 1 223.840 69.973 177.562 12 20 17 37 1 223.840 69.973 177.562 13 20 17 37 1 147.237 136.696 99.729 14 20 17 9 1 147.237 136.696 99.729 15 20 17 9 1 147.237 136.696 99.729 16 20 17 9 1 147.237 136.696 99.729 17 20 17 9 1 147.237 136.696 99.729 18 20 17 9 1 147.237 136.696 99.729 19 20 17 9 1 147.237 136.696 99.729 20 20 17 9 1 213.704 129.862 233.466 1 1 18 5 1 213.704 129.862 233.466 2 1 18 5 1 213.704 129.862 233.466 3 1 18 5 1 29.107 41.050 111.993 4 1 18 12 1 29.107 41.050 111.993 5 1 18 12 1 29.107 41.050 111.993 6 1 18 12 1 29.107 41.050 111.993 7 1 18 12 1 29.107 41.050 111.993 8 1 18 12 1 29.107 41.050 111.993 9 1 18 12 1 32.741 35.872 10.181 10 1 18 25 1 32.741 35.872 10.181 11 1 18 25 1 32.741 35.872 10.181 12 1 18 25 1 32.741 35.872 10.181 13 1 18 25 1 21.084 85.761 243.412 14 1 18 46 1 21.084 85.761 243.412 15 1 18 46 1 21.084 85.761 243.412 16 1 18 46 1 21.084 85.761 243.412 17 1 18 46 1 21.084 85.761 243.412 18 1 18 46 1 62.280 67.002 307.632 19 1 18 35 1 62.280 67.002 307.632 20 1 18 35 1 213.704 129.862 233.466 1 2 18 5 1 213.704 129.862 233.466 2 2 18 5 1 29.107 41.050 111.993 3 2 18 12 1 29.107 41.050 111.993 4 2 18 12 1 29.107 41.050 111.993 5 2 18 12 1 29.107 41.050 111.993 6 2 18 12 1 29.107 41.050 111.993 7 2 18 12 1 29.107 41.050 111.993 8 2 18 12 1 29.107 41.050 111.993 9 2 18 12 1 32.741 35.872 10.181 10 2 18 25 1 32.741 35.872 10.181 11 2 18 25 1 32.741 35.872 10.181 12 2 18 25 1 32.741 35.872 10.181 13 2 18 25 1 32.741 35.872 10.181 14 2 18 25 1 21.084 85.761 243.412 15 2 18 46 1 21.084 85.761 243.412 16 2 18 46 1 21.084 85.761 243.412 17 2 18 46 1 21.084 85.761 243.412 18 2 18 46 1 62.280 67.002 307.632 19 2 18 35 1 62.280 67.002 307.632 20 2 18 35 1 213.704 129.862 233.466 1 3 18 5 1 213.704 129.862 233.466 2 3 18 5 1 213.704 129.862 233.466 3 3 18 5 1 29.107 41.050 111.993 4 3 18 12 1 29.107 41.050 111.993 5 3 18 12 1 29.107 41.050 111.993 6 3 18 12 1 29.107 41.050 111.993 7 3 18 12 1 29.107 41.050 111.993 8 3 18 12 1 206.865 60.889 308.280 9 3 18 43 1 32.741 35.872 10.181 10 3 18 25 1 32.741 35.872 10.181 11 3 18 25 1 32.741 35.872 10.181 12 3 18 25 1 32.741 35.872 10.181 13 3 18 25 1 32.741 35.872 10.181 14 3 18 25 1 21.084 85.761 243.412 15 3 18 46 1 21.084 85.761 243.412 16 3 18 46 1 21.084 85.761 243.412 17 3 18 46 1 21.084 85.761 243.412 18 3 18 46 1 21.084 85.761 243.412 19 3 18 46 1 62.280 67.002 307.632 20 3 18 35 1 134.113 92.523 201.119 1 4 18 36 1 134.113 92.523 201.119 2 4 18 36 1 134.113 92.523 201.119 3 4 18 36 1 134.113 92.523 201.119 4 4 18 36 1 29.107 41.050 111.993 5 4 18 12 1 29.107 41.050 111.993 6 4 18 12 1 29.107 41.050 111.993 7 4 18 12 1 206.865 60.889 308.280 8 4 18 43 1 206.865 60.889 308.280 9 4 18 43 1 32.741 35.872 10.181 10 4 18 25 1 32.741 35.872 10.181 11 4 18 25 1 32.741 35.872 10.181 12 4 18 25 1 32.741 35.872 10.181 13 4 18 25 1 32.741 35.872 10.181 14 4 18 25 1 32.741 35.872 10.181 15 4 18 25 1 21.084 85.761 243.412 16 4 18 46 1 21.084 85.761 243.412 17 4 18 46 1 21.084 85.761 243.412 18 4 18 46 1 337.952 156.456 36.702 19 4 18 24 1 337.952 156.456 36.702 20 4 18 24 1 134.113 92.523 201.119 1 5 18 36 1 134.113 92.523 201.119 2 5 18 36 1 134.113 92.523 201.119 3 5 18 36 1 134.113 92.523 201.119 4 5 18 36 1 134.113 92.523 201.119 5 5 18 36 1 263.722 37.538 64.597 6 5 18 10 1 206.865 60.889 308.280 7 5 18 43 1 206.865 60.889 308.280 8 5 18 43 1 206.865 60.889 308.280 9 5 18 43 1 206.865 60.889 308.280 10 5 18 43 1 32.741 35.872 10.181 11 5 18 25 1 32.741 35.872 10.181 12 5 18 25 1 32.741 35.872 10.181 13 5 18 25 1 32.741 35.872 10.181 14 5 18 25 1 32.741 35.872 10.181 15 5 18 25 1 21.084 85.761 243.412 16 5 18 46 1 337.952 156.456 36.702 17 5 18 24 1 337.952 156.456 36.702 18 5 18 24 1 337.952 156.456 36.702 19 5 18 24 1 337.952 156.456 36.702 20 5 18 24 1 134.113 92.523 201.119 1 6 18 36 1 134.113 92.523 201.119 2 6 18 36 1 134.113 92.523 201.119 3 6 18 36 1 134.113 92.523 201.119 4 6 18 36 1 134.113 92.523 201.119 5 6 18 36 1 263.722 37.538 64.597 6 6 18 10 1 263.722 37.538 64.597 7 6 18 10 1 206.865 60.889 308.280 8 6 18 43 1 206.865 60.889 308.280 9 6 18 43 1 206.865 60.889 308.280 10 6 18 43 1 206.865 60.889 308.280 11 6 18 43 1 32.741 35.872 10.181 12 6 18 25 1 32.741 35.872 10.181 13 6 18 25 1 32.741 35.872 10.181 14 6 18 25 1 32.741 35.872 10.181 15 6 18 25 1 337.952 156.456 36.702 16 6 18 24 1 337.952 156.456 36.702 17 6 18 24 1 337.952 156.456 36.702 18 6 18 24 1 337.952 156.456 36.702 19 6 18 24 1 337.952 156.456 36.702 20 6 18 24 1 134.113 92.523 201.119 1 7 18 36 1 134.113 92.523 201.119 2 7 18 36 1 134.113 92.523 201.119 3 7 18 36 1 134.113 92.523 201.119 4 7 18 36 1 263.722 37.538 64.597 5 7 18 10 1 263.722 37.538 64.597 6 7 18 10 1 263.722 37.538 64.597 7 7 18 10 1 206.865 60.889 308.280 8 7 18 43 1 206.865 60.889 308.280 9 7 18 43 1 206.865 60.889 308.280 10 7 18 43 1 206.865 60.889 308.280 11 7 18 43 1 206.865 60.889 308.280 12 7 18 43 1 32.741 35.872 10.181 13 7 18 25 1 32.741 35.872 10.181 14 7 18 25 1 32.741 35.872 10.181 15 7 18 25 1 337.952 156.456 36.702 16 7 18 24 1 337.952 156.456 36.702 17 7 18 24 1 337.952 156.456 36.702 18 7 18 24 1 337.952 156.456 36.702 19 7 18 24 1 337.952 156.456 36.702 20 7 18 24 1 134.113 92.523 201.119 1 8 18 36 1 134.113 92.523 201.119 2 8 18 36 1 134.113 92.523 201.119 3 8 18 36 1 134.113 92.523 201.119 4 8 18 36 1 263.722 37.538 64.597 5 8 18 10 1 263.722 37.538 64.597 6 8 18 10 1 263.722 37.538 64.597 7 8 18 10 1 263.722 37.538 64.597 8 8 18 10 1 206.865 60.889 308.280 9 8 18 43 1 206.865 60.889 308.280 10 8 18 43 1 206.865 60.889 308.280 11 8 18 43 1 206.865 60.889 308.280 12 8 18 43 1 32.741 35.872 10.181 13 8 18 25 1 32.741 35.872 10.181 14 8 18 25 1 337.952 156.456 36.702 15 8 18 24 1 337.952 156.456 36.702 16 8 18 24 1 337.952 156.456 36.702 17 8 18 24 1 337.952 156.456 36.702 18 8 18 24 1 337.952 156.456 36.702 19 8 18 24 1 337.952 156.456 36.702 20 8 18 24 1 134.113 92.523 201.119 1 9 18 36 1 134.113 92.523 201.119 2 9 18 36 1 134.113 92.523 201.119 3 9 18 36 1 134.113 92.523 201.119 4 9 18 36 1 263.722 37.538 64.597 5 9 18 10 1 263.722 37.538 64.597 6 9 18 10 1 263.722 37.538 64.597 7 9 18 10 1 263.722 37.538 64.597 8 9 18 10 1 206.865 60.889 308.280 9 9 18 43 1 206.865 60.889 308.280 10 9 18 43 1 206.865 60.889 308.280 11 9 18 43 1 206.865 60.889 308.280 12 9 18 43 1 32.741 35.872 10.181 13 9 18 25 1 111.594 70.700 44.838 14 9 18 20 1 337.952 156.456 36.702 15 9 18 24 1 337.952 156.456 36.702 16 9 18 24 1 337.952 156.456 36.702 17 9 18 24 1 337.952 156.456 36.702 18 9 18 24 1 337.952 156.456 36.702 19 9 18 24 1 337.952 156.456 36.702 20 9 18 24 1 195.836 46.286 27.037 1 10 18 34 1 195.836 46.286 27.037 2 10 18 34 1 195.836 46.286 27.037 3 10 18 34 1 195.836 46.286 27.037 4 10 18 34 1 263.722 37.538 64.597 5 10 18 10 1 263.722 37.538 64.597 6 10 18 10 1 263.722 37.538 64.597 7 10 18 10 1 61.871 127.308 31.203 8 10 18 16 1 61.871 127.308 31.203 9 10 18 16 1 61.871 127.308 31.203 10 10 18 16 1 206.865 60.889 308.280 11 10 18 43 1 206.865 60.889 308.280 12 10 18 43 1 111.594 70.700 44.838 13 10 18 20 1 111.594 70.700 44.838 14 10 18 20 1 313.941 133.588 281.173 15 10 18 31 1 313.941 133.588 281.173 16 10 18 31 1 313.941 133.588 281.173 17 10 18 31 1 313.941 133.588 281.173 18 10 18 31 1 313.941 133.588 281.173 19 10 18 31 1 313.941 133.588 281.173 20 10 18 31 1 174.974 118.636 115.906 1 11 18 18 1 174.974 118.636 115.906 2 11 18 18 1 174.974 118.636 115.906 3 11 18 18 1 174.974 118.636 115.906 4 11 18 18 1 174.974 118.636 115.906 5 11 18 18 1 61.871 127.308 31.203 6 11 18 16 1 61.871 127.308 31.203 7 11 18 16 1 61.871 127.308 31.203 8 11 18 16 1 61.871 127.308 31.203 9 11 18 16 1 61.871 127.308 31.203 10 11 18 16 1 61.871 127.308 31.203 11 11 18 16 1 111.594 70.700 44.838 12 11 18 20 1 111.594 70.700 44.838 13 11 18 20 1 313.941 133.588 281.173 14 11 18 31 1 313.941 133.588 281.173 15 11 18 31 1 313.941 133.588 281.173 16 11 18 31 1 313.941 133.588 281.173 17 11 18 31 1 313.941 133.588 281.173 18 11 18 31 1 313.941 133.588 281.173 19 11 18 31 1 313.941 133.588 281.173 20 11 18 31 1 174.974 118.636 115.906 1 12 18 18 1 174.974 118.636 115.906 2 12 18 18 1 174.974 118.636 115.906 3 12 18 18 1 174.974 118.636 115.906 4 12 18 18 1 174.974 118.636 115.906 5 12 18 18 1 61.871 127.308 31.203 6 12 18 16 1 61.871 127.308 31.203 7 12 18 16 1 61.871 127.308 31.203 8 12 18 16 1 61.871 127.308 31.203 9 12 18 16 1 61.871 127.308 31.203 10 12 18 16 1 61.871 127.308 31.203 11 12 18 16 1 111.594 70.700 44.838 12 12 18 20 1 111.594 70.700 44.838 13 12 18 20 1 313.941 133.588 281.173 14 12 18 31 1 313.941 133.588 281.173 15 12 18 31 1 313.941 133.588 281.173 16 12 18 31 1 313.941 133.588 281.173 17 12 18 31 1 313.941 133.588 281.173 18 12 18 31 1 313.941 133.588 281.173 19 12 18 31 1 313.941 133.588 281.173 20 12 18 31 1 174.974 118.636 115.906 1 13 18 18 1 174.974 118.636 115.906 2 13 18 18 1 174.974 118.636 115.906 3 13 18 18 1 174.974 118.636 115.906 4 13 18 18 1 174.974 118.636 115.906 5 13 18 18 1 174.974 118.636 115.906 6 13 18 18 1 61.871 127.308 31.203 7 13 18 16 1 61.871 127.308 31.203 8 13 18 16 1 61.871 127.308 31.203 9 13 18 16 1 61.871 127.308 31.203 10 13 18 16 1 61.871 127.308 31.203 11 13 18 16 1 61.871 127.308 31.203 12 13 18 16 1 313.941 133.588 281.173 13 13 18 31 1 313.941 133.588 281.173 14 13 18 31 1 313.941 133.588 281.173 15 13 18 31 1 313.941 133.588 281.173 16 13 18 31 1 313.941 133.588 281.173 17 13 18 31 1 313.941 133.588 281.173 18 13 18 31 1 313.941 133.588 281.173 19 13 18 31 1 313.941 133.588 281.173 20 13 18 31 1 174.974 118.636 115.906 1 14 18 18 1 174.974 118.636 115.906 2 14 18 18 1 174.974 118.636 115.906 3 14 18 18 1 174.974 118.636 115.906 4 14 18 18 1 174.974 118.636 115.906 5 14 18 18 1 174.974 118.636 115.906 6 14 18 18 1 61.871 127.308 31.203 7 14 18 16 1 61.871 127.308 31.203 8 14 18 16 1 61.871 127.308 31.203 9 14 18 16 1 61.871 127.308 31.203 10 14 18 16 1 61.871 127.308 31.203 11 14 18 16 1 193.199 106.176 102.671 12 14 18 29 1 313.941 133.588 281.173 13 14 18 31 1 313.941 133.588 281.173 14 14 18 31 1 313.941 133.588 281.173 15 14 18 31 1 313.941 133.588 281.173 16 14 18 31 1 313.941 133.588 281.173 17 14 18 31 1 313.941 133.588 281.173 18 14 18 31 1 313.941 133.588 281.173 19 14 18 31 1 313.941 133.588 281.173 20 14 18 31 1 174.974 118.636 115.906 1 15 18 18 1 174.974 118.636 115.906 2 15 18 18 1 174.974 118.636 115.906 3 15 18 18 1 174.974 118.636 115.906 4 15 18 18 1 174.974 118.636 115.906 5 15 18 18 1 174.974 118.636 115.906 6 15 18 18 1 61.871 127.308 31.203 7 15 18 16 1 61.871 127.308 31.203 8 15 18 16 1 61.871 127.308 31.203 9 15 18 16 1 61.871 127.308 31.203 10 15 18 16 1 193.199 106.176 102.671 11 15 18 29 1 193.199 106.176 102.671 12 15 18 29 1 313.941 133.588 281.173 13 15 18 31 1 313.941 133.588 281.173 14 15 18 31 1 313.941 133.588 281.173 15 15 18 31 1 313.941 133.588 281.173 16 15 18 31 1 313.941 133.588 281.173 17 15 18 31 1 313.941 133.588 281.173 18 15 18 31 1 313.941 133.588 281.173 19 15 18 31 1 313.941 133.588 281.173 20 15 18 31 1 174.974 118.636 115.906 1 16 18 18 1 174.974 118.636 115.906 2 16 18 18 1 174.974 118.636 115.906 3 16 18 18 1 174.974 118.636 115.906 4 16 18 18 1 174.974 118.636 115.906 5 16 18 18 1 174.974 118.636 115.906 6 16 18 18 1 174.974 118.636 115.906 7 16 18 18 1 223.840 69.973 177.562 8 16 18 37 1 223.840 69.973 177.562 9 16 18 37 1 193.199 106.176 102.671 10 16 18 29 1 193.199 106.176 102.671 11 16 18 29 1 193.199 106.176 102.671 12 16 18 29 1 313.941 133.588 281.173 13 16 18 31 1 313.941 133.588 281.173 14 16 18 31 1 313.941 133.588 281.173 15 16 18 31 1 313.941 133.588 281.173 16 16 18 31 1 313.941 133.588 281.173 17 16 18 31 1 313.941 133.588 281.173 18 16 18 31 1 313.941 133.588 281.173 19 16 18 31 1 313.941 133.588 281.173 20 16 18 31 1 174.974 118.636 115.906 1 17 18 18 1 174.974 118.636 115.906 2 17 18 18 1 174.974 118.636 115.906 3 17 18 18 1 174.974 118.636 115.906 4 17 18 18 1 174.974 118.636 115.906 5 17 18 18 1 174.974 118.636 115.906 6 17 18 18 1 223.840 69.973 177.562 7 17 18 37 1 223.840 69.973 177.562 8 17 18 37 1 223.840 69.973 177.562 9 17 18 37 1 223.840 69.973 177.562 10 17 18 37 1 223.840 69.973 177.562 11 17 18 37 1 193.199 106.176 102.671 12 17 18 29 1 193.199 106.176 102.671 13 17 18 29 1 313.941 133.588 281.173 14 17 18 31 1 313.941 133.588 281.173 15 17 18 31 1 313.941 133.588 281.173 16 17 18 31 1 313.941 133.588 281.173 17 17 18 31 1 313.941 133.588 281.173 18 17 18 31 1 313.941 133.588 281.173 19 17 18 31 1 313.941 133.588 281.173 20 17 18 31 1 174.974 118.636 115.906 1 18 18 18 1 174.974 118.636 115.906 2 18 18 18 1 174.974 118.636 115.906 3 18 18 18 1 174.974 118.636 115.906 4 18 18 18 1 223.840 69.973 177.562 5 18 18 37 1 223.840 69.973 177.562 6 18 18 37 1 223.840 69.973 177.562 7 18 18 37 1 223.840 69.973 177.562 8 18 18 37 1 223.840 69.973 177.562 9 18 18 37 1 223.840 69.973 177.562 10 18 18 37 1 223.840 69.973 177.562 11 18 18 37 1 223.840 69.973 177.562 12 18 18 37 1 223.840 69.973 177.562 13 18 18 37 1 313.941 133.588 281.173 14 18 18 31 1 313.941 133.588 281.173 15 18 18 31 1 313.941 133.588 281.173 16 18 18 31 1 147.237 136.696 99.729 17 18 18 9 1 147.237 136.696 99.729 18 18 18 9 1 147.237 136.696 99.729 19 18 18 9 1 313.941 133.588 281.173 20 18 18 31 1 174.974 118.636 115.906 1 19 18 18 1 174.974 118.636 115.906 2 19 18 18 1 174.974 118.636 115.906 3 19 18 18 1 140.911 146.459 236.524 4 19 18 28 1 223.840 69.973 177.562 5 19 18 37 1 223.840 69.973 177.562 6 19 18 37 1 223.840 69.973 177.562 7 19 18 37 1 223.840 69.973 177.562 8 19 18 37 1 223.840 69.973 177.562 9 19 18 37 1 223.840 69.973 177.562 10 19 18 37 1 223.840 69.973 177.562 11 19 18 37 1 223.840 69.973 177.562 12 19 18 37 1 223.840 69.973 177.562 13 19 18 37 1 147.237 136.696 99.729 14 19 18 9 1 147.237 136.696 99.729 15 19 18 9 1 147.237 136.696 99.729 16 19 18 9 1 147.237 136.696 99.729 17 19 18 9 1 147.237 136.696 99.729 18 19 18 9 1 147.237 136.696 99.729 19 19 18 9 1 147.237 136.696 99.729 20 19 18 9 1 140.911 146.459 236.524 1 20 18 28 1 140.911 146.459 236.524 2 20 18 28 1 140.911 146.459 236.524 3 20 18 28 1 140.911 146.459 236.524 4 20 18 28 1 223.840 69.973 177.562 5 20 18 37 1 223.840 69.973 177.562 6 20 18 37 1 223.840 69.973 177.562 7 20 18 37 1 223.840 69.973 177.562 8 20 18 37 1 223.840 69.973 177.562 9 20 18 37 1 223.840 69.973 177.562 10 20 18 37 1 223.840 69.973 177.562 11 20 18 37 1 223.840 69.973 177.562 12 20 18 37 1 223.840 69.973 177.562 13 20 18 37 1 147.237 136.696 99.729 14 20 18 9 1 147.237 136.696 99.729 15 20 18 9 1 147.237 136.696 99.729 16 20 18 9 1 147.237 136.696 99.729 17 20 18 9 1 147.237 136.696 99.729 18 20 18 9 1 147.237 136.696 99.729 19 20 18 9 1 147.237 136.696 99.729 20 20 18 9 1 29.107 41.050 111.993 1 1 19 12 1 29.107 41.050 111.993 2 1 19 12 1 29.107 41.050 111.993 3 1 19 12 1 29.107 41.050 111.993 4 1 19 12 1 29.107 41.050 111.993 5 1 19 12 1 29.107 41.050 111.993 6 1 19 12 1 29.107 41.050 111.993 7 1 19 12 1 29.107 41.050 111.993 8 1 19 12 1 29.107 41.050 111.993 9 1 19 12 1 29.107 41.050 111.993 10 1 19 12 1 32.741 35.872 10.181 11 1 19 25 1 21.084 85.761 243.412 12 1 19 46 1 21.084 85.761 243.412 13 1 19 46 1 21.084 85.761 243.412 14 1 19 46 1 21.084 85.761 243.412 15 1 19 46 1 21.084 85.761 243.412 16 1 19 46 1 21.084 85.761 243.412 17 1 19 46 1 21.084 85.761 243.412 18 1 19 46 1 62.280 67.002 307.632 19 1 19 35 1 62.280 67.002 307.632 20 1 19 35 1 29.107 41.050 111.993 1 2 19 12 1 29.107 41.050 111.993 2 2 19 12 1 29.107 41.050 111.993 3 2 19 12 1 29.107 41.050 111.993 4 2 19 12 1 29.107 41.050 111.993 5 2 19 12 1 29.107 41.050 111.993 6 2 19 12 1 29.107 41.050 111.993 7 2 19 12 1 29.107 41.050 111.993 8 2 19 12 1 29.107 41.050 111.993 9 2 19 12 1 32.741 35.872 10.181 10 2 19 25 1 32.741 35.872 10.181 11 2 19 25 1 32.741 35.872 10.181 12 2 19 25 1 32.741 35.872 10.181 13 2 19 25 1 21.084 85.761 243.412 14 2 19 46 1 21.084 85.761 243.412 15 2 19 46 1 21.084 85.761 243.412 16 2 19 46 1 21.084 85.761 243.412 17 2 19 46 1 21.084 85.761 243.412 18 2 19 46 1 62.280 67.002 307.632 19 2 19 35 1 62.280 67.002 307.632 20 2 19 35 1 134.113 92.523 201.119 1 3 19 36 1 134.113 92.523 201.119 2 3 19 36 1 29.107 41.050 111.993 3 3 19 12 1 29.107 41.050 111.993 4 3 19 12 1 29.107 41.050 111.993 5 3 19 12 1 29.107 41.050 111.993 6 3 19 12 1 29.107 41.050 111.993 7 3 19 12 1 29.107 41.050 111.993 8 3 19 12 1 29.107 41.050 111.993 9 3 19 12 1 32.741 35.872 10.181 10 3 19 25 1 32.741 35.872 10.181 11 3 19 25 1 32.741 35.872 10.181 12 3 19 25 1 32.741 35.872 10.181 13 3 19 25 1 21.084 85.761 243.412 14 3 19 46 1 21.084 85.761 243.412 15 3 19 46 1 21.084 85.761 243.412 16 3 19 46 1 21.084 85.761 243.412 17 3 19 46 1 21.084 85.761 243.412 18 3 19 46 1 62.280 67.002 307.632 19 3 19 35 1 62.280 67.002 307.632 20 3 19 35 1 134.113 92.523 201.119 1 4 19 36 1 134.113 92.523 201.119 2 4 19 36 1 134.113 92.523 201.119 3 4 19 36 1 134.113 92.523 201.119 4 4 19 36 1 29.107 41.050 111.993 5 4 19 12 1 29.107 41.050 111.993 6 4 19 12 1 29.107 41.050 111.993 7 4 19 12 1 29.107 41.050 111.993 8 4 19 12 1 29.107 41.050 111.993 9 4 19 12 1 32.741 35.872 10.181 10 4 19 25 1 32.741 35.872 10.181 11 4 19 25 1 32.741 35.872 10.181 12 4 19 25 1 32.741 35.872 10.181 13 4 19 25 1 32.741 35.872 10.181 14 4 19 25 1 21.084 85.761 243.412 15 4 19 46 1 21.084 85.761 243.412 16 4 19 46 1 21.084 85.761 243.412 17 4 19 46 1 21.084 85.761 243.412 18 4 19 46 1 21.084 85.761 243.412 19 4 19 46 1 62.280 67.002 307.632 20 4 19 35 1 134.113 92.523 201.119 1 5 19 36 1 134.113 92.523 201.119 2 5 19 36 1 134.113 92.523 201.119 3 5 19 36 1 134.113 92.523 201.119 4 5 19 36 1 134.113 92.523 201.119 5 5 19 36 1 263.722 37.538 64.597 6 5 19 10 1 29.107 41.050 111.993 7 5 19 12 1 29.107 41.050 111.993 8 5 19 12 1 206.865 60.889 308.280 9 5 19 43 1 206.865 60.889 308.280 10 5 19 43 1 32.741 35.872 10.181 11 5 19 25 1 32.741 35.872 10.181 12 5 19 25 1 32.741 35.872 10.181 13 5 19 25 1 32.741 35.872 10.181 14 5 19 25 1 21.084 85.761 243.412 15 5 19 46 1 21.084 85.761 243.412 16 5 19 46 1 21.084 85.761 243.412 17 5 19 46 1 337.952 156.456 36.702 18 5 19 24 1 337.952 156.456 36.702 19 5 19 24 1 337.952 156.456 36.702 20 5 19 24 1 134.113 92.523 201.119 1 6 19 36 1 134.113 92.523 201.119 2 6 19 36 1 134.113 92.523 201.119 3 6 19 36 1 134.113 92.523 201.119 4 6 19 36 1 134.113 92.523 201.119 5 6 19 36 1 263.722 37.538 64.597 6 6 19 10 1 263.722 37.538 64.597 7 6 19 10 1 263.722 37.538 64.597 8 6 19 10 1 206.865 60.889 308.280 9 6 19 43 1 206.865 60.889 308.280 10 6 19 43 1 32.741 35.872 10.181 11 6 19 25 1 32.741 35.872 10.181 12 6 19 25 1 32.741 35.872 10.181 13 6 19 25 1 32.741 35.872 10.181 14 6 19 25 1 32.741 35.872 10.181 15 6 19 25 1 337.952 156.456 36.702 16 6 19 24 1 337.952 156.456 36.702 17 6 19 24 1 337.952 156.456 36.702 18 6 19 24 1 337.952 156.456 36.702 19 6 19 24 1 337.952 156.456 36.702 20 6 19 24 1 134.113 92.523 201.119 1 7 19 36 1 134.113 92.523 201.119 2 7 19 36 1 134.113 92.523 201.119 3 7 19 36 1 134.113 92.523 201.119 4 7 19 36 1 263.722 37.538 64.597 5 7 19 10 1 263.722 37.538 64.597 6 7 19 10 1 263.722 37.538 64.597 7 7 19 10 1 263.722 37.538 64.597 8 7 19 10 1 263.722 37.538 64.597 9 7 19 10 1 206.865 60.889 308.280 10 7 19 43 1 206.865 60.889 308.280 11 7 19 43 1 206.865 60.889 308.280 12 7 19 43 1 32.741 35.872 10.181 13 7 19 25 1 32.741 35.872 10.181 14 7 19 25 1 337.952 156.456 36.702 15 7 19 24 1 337.952 156.456 36.702 16 7 19 24 1 337.952 156.456 36.702 17 7 19 24 1 337.952 156.456 36.702 18 7 19 24 1 337.952 156.456 36.702 19 7 19 24 1 337.952 156.456 36.702 20 7 19 24 1 134.113 92.523 201.119 1 8 19 36 1 134.113 92.523 201.119 2 8 19 36 1 134.113 92.523 201.119 3 8 19 36 1 134.113 92.523 201.119 4 8 19 36 1 263.722 37.538 64.597 5 8 19 10 1 263.722 37.538 64.597 6 8 19 10 1 263.722 37.538 64.597 7 8 19 10 1 263.722 37.538 64.597 8 8 19 10 1 263.722 37.538 64.597 9 8 19 10 1 206.865 60.889 308.280 10 8 19 43 1 206.865 60.889 308.280 11 8 19 43 1 206.865 60.889 308.280 12 8 19 43 1 32.741 35.872 10.181 13 8 19 25 1 32.741 35.872 10.181 14 8 19 25 1 337.952 156.456 36.702 15 8 19 24 1 337.952 156.456 36.702 16 8 19 24 1 337.952 156.456 36.702 17 8 19 24 1 337.952 156.456 36.702 18 8 19 24 1 337.952 156.456 36.702 19 8 19 24 1 337.952 156.456 36.702 20 8 19 24 1 134.113 92.523 201.119 1 9 19 36 1 134.113 92.523 201.119 2 9 19 36 1 134.113 92.523 201.119 3 9 19 36 1 134.113 92.523 201.119 4 9 19 36 1 263.722 37.538 64.597 5 9 19 10 1 263.722 37.538 64.597 6 9 19 10 1 263.722 37.538 64.597 7 9 19 10 1 263.722 37.538 64.597 8 9 19 10 1 263.722 37.538 64.597 9 9 19 10 1 263.722 37.538 64.597 10 9 19 10 1 206.865 60.889 308.280 11 9 19 43 1 206.865 60.889 308.280 12 9 19 43 1 32.741 35.872 10.181 13 9 19 25 1 111.594 70.700 44.838 14 9 19 20 1 337.952 156.456 36.702 15 9 19 24 1 337.952 156.456 36.702 16 9 19 24 1 337.952 156.456 36.702 17 9 19 24 1 337.952 156.456 36.702 18 9 19 24 1 337.952 156.456 36.702 19 9 19 24 1 337.952 156.456 36.702 20 9 19 24 1 134.113 92.523 201.119 1 10 19 36 1 134.113 92.523 201.119 2 10 19 36 1 134.113 92.523 201.119 3 10 19 36 1 263.722 37.538 64.597 4 10 19 10 1 263.722 37.538 64.597 5 10 19 10 1 263.722 37.538 64.597 6 10 19 10 1 263.722 37.538 64.597 7 10 19 10 1 263.722 37.538 64.597 8 10 19 10 1 263.722 37.538 64.597 9 10 19 10 1 263.722 37.538 64.597 10 10 19 10 1 206.865 60.889 308.280 11 10 19 43 1 206.865 60.889 308.280 12 10 19 43 1 313.941 133.588 281.173 13 10 19 31 1 313.941 133.588 281.173 14 10 19 31 1 313.941 133.588 281.173 15 10 19 31 1 313.941 133.588 281.173 16 10 19 31 1 313.941 133.588 281.173 17 10 19 31 1 313.941 133.588 281.173 18 10 19 31 1 313.941 133.588 281.173 19 10 19 31 1 313.941 133.588 281.173 20 10 19 31 1 174.974 118.636 115.906 1 11 19 18 1 174.974 118.636 115.906 2 11 19 18 1 174.974 118.636 115.906 3 11 19 18 1 174.974 118.636 115.906 4 11 19 18 1 263.722 37.538 64.597 5 11 19 10 1 263.722 37.538 64.597 6 11 19 10 1 263.722 37.538 64.597 7 11 19 10 1 263.722 37.538 64.597 8 11 19 10 1 61.871 127.308 31.203 9 11 19 16 1 61.871 127.308 31.203 10 11 19 16 1 61.871 127.308 31.203 11 11 19 16 1 313.941 133.588 281.173 12 11 19 31 1 313.941 133.588 281.173 13 11 19 31 1 313.941 133.588 281.173 14 11 19 31 1 313.941 133.588 281.173 15 11 19 31 1 313.941 133.588 281.173 16 11 19 31 1 313.941 133.588 281.173 17 11 19 31 1 313.941 133.588 281.173 18 11 19 31 1 313.941 133.588 281.173 19 11 19 31 1 313.941 133.588 281.173 20 11 19 31 1 174.974 118.636 115.906 1 12 19 18 1 174.974 118.636 115.906 2 12 19 18 1 174.974 118.636 115.906 3 12 19 18 1 174.974 118.636 115.906 4 12 19 18 1 174.974 118.636 115.906 5 12 19 18 1 174.974 118.636 115.906 6 12 19 18 1 61.871 127.308 31.203 7 12 19 16 1 61.871 127.308 31.203 8 12 19 16 1 61.871 127.308 31.203 9 12 19 16 1 61.871 127.308 31.203 10 12 19 16 1 61.871 127.308 31.203 11 12 19 16 1 313.941 133.588 281.173 12 12 19 31 1 313.941 133.588 281.173 13 12 19 31 1 313.941 133.588 281.173 14 12 19 31 1 313.941 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41.050 111.993 6 2 20 12 1 29.107 41.050 111.993 7 2 20 12 1 29.107 41.050 111.993 8 2 20 12 1 29.107 41.050 111.993 9 2 20 12 1 29.107 41.050 111.993 10 2 20 12 1 32.741 35.872 10.181 11 2 20 25 1 21.084 85.761 243.412 12 2 20 46 1 21.084 85.761 243.412 13 2 20 46 1 21.084 85.761 243.412 14 2 20 46 1 21.084 85.761 243.412 15 2 20 46 1 21.084 85.761 243.412 16 2 20 46 1 21.084 85.761 243.412 17 2 20 46 1 21.084 85.761 243.412 18 2 20 46 1 62.280 67.002 307.632 19 2 20 35 1 62.280 67.002 307.632 20 2 20 35 1 134.113 92.523 201.119 1 3 20 36 1 29.107 41.050 111.993 2 3 20 12 1 29.107 41.050 111.993 3 3 20 12 1 29.107 41.050 111.993 4 3 20 12 1 29.107 41.050 111.993 5 3 20 12 1 29.107 41.050 111.993 6 3 20 12 1 29.107 41.050 111.993 7 3 20 12 1 29.107 41.050 111.993 8 3 20 12 1 29.107 41.050 111.993 9 3 20 12 1 32.741 35.872 10.181 10 3 20 25 1 32.741 35.872 10.181 11 3 20 25 1 32.741 35.872 10.181 12 3 20 25 1 21.084 85.761 243.412 13 3 20 46 1 21.084 85.761 243.412 14 3 20 46 1 21.084 85.761 243.412 15 3 20 46 1 21.084 85.761 243.412 16 3 20 46 1 21.084 85.761 243.412 17 3 20 46 1 21.084 85.761 243.412 18 3 20 46 1 62.280 67.002 307.632 19 3 20 35 1 62.280 67.002 307.632 20 3 20 35 1 134.113 92.523 201.119 1 4 20 36 1 134.113 92.523 201.119 2 4 20 36 1 134.113 92.523 201.119 3 4 20 36 1 134.113 92.523 201.119 4 4 20 36 1 29.107 41.050 111.993 5 4 20 12 1 29.107 41.050 111.993 6 4 20 12 1 29.107 41.050 111.993 7 4 20 12 1 29.107 41.050 111.993 8 4 20 12 1 29.107 41.050 111.993 9 4 20 12 1 32.741 35.872 10.181 10 4 20 25 1 32.741 35.872 10.181 11 4 20 25 1 32.741 35.872 10.181 12 4 20 25 1 32.741 35.872 10.181 13 4 20 25 1 21.084 85.761 243.412 14 4 20 46 1 21.084 85.761 243.412 15 4 20 46 1 21.084 85.761 243.412 16 4 20 46 1 21.084 85.761 243.412 17 4 20 46 1 21.084 85.761 243.412 18 4 20 46 1 21.084 85.761 243.412 19 4 20 46 1 62.280 67.002 307.632 20 4 20 35 1 134.113 92.523 201.119 1 5 20 36 1 134.113 92.523 201.119 2 5 20 36 1 134.113 92.523 201.119 3 5 20 36 1 134.113 92.523 201.119 4 5 20 36 1 134.113 92.523 201.119 5 5 20 36 1 263.722 37.538 64.597 6 5 20 10 1 263.722 37.538 64.597 7 5 20 10 1 263.722 37.538 64.597 8 5 20 10 1 206.865 60.889 308.280 9 5 20 43 1 206.865 60.889 308.280 10 5 20 43 1 32.741 35.872 10.181 11 5 20 25 1 32.741 35.872 10.181 12 5 20 25 1 32.741 35.872 10.181 13 5 20 25 1 21.084 85.761 243.412 14 5 20 46 1 21.084 85.761 243.412 15 5 20 46 1 21.084 85.761 243.412 16 5 20 46 1 21.084 85.761 243.412 17 5 20 46 1 21.084 85.761 243.412 18 5 20 46 1 337.952 156.456 36.702 19 5 20 24 1 337.952 156.456 36.702 20 5 20 24 1 134.113 92.523 201.119 1 6 20 36 1 134.113 92.523 201.119 2 6 20 36 1 134.113 92.523 201.119 3 6 20 36 1 134.113 92.523 201.119 4 6 20 36 1 134.113 92.523 201.119 5 6 20 36 1 263.722 37.538 64.597 6 6 20 10 1 263.722 37.538 64.597 7 6 20 10 1 263.722 37.538 64.597 8 6 20 10 1 263.722 37.538 64.597 9 6 20 10 1 206.865 60.889 308.280 10 6 20 43 1 32.741 35.872 10.181 11 6 20 25 1 32.741 35.872 10.181 12 6 20 25 1 32.741 35.872 10.181 13 6 20 25 1 32.741 35.872 10.181 14 6 20 25 1 21.084 85.761 243.412 15 6 20 46 1 337.952 156.456 36.702 16 6 20 24 1 337.952 156.456 36.702 17 6 20 24 1 337.952 156.456 36.702 18 6 20 24 1 337.952 156.456 36.702 19 6 20 24 1 337.952 156.456 36.702 20 6 20 24 1 134.113 92.523 201.119 1 7 20 36 1 134.113 92.523 201.119 2 7 20 36 1 134.113 92.523 201.119 3 7 20 36 1 134.113 92.523 201.119 4 7 20 36 1 263.722 37.538 64.597 5 7 20 10 1 263.722 37.538 64.597 6 7 20 10 1 263.722 37.538 64.597 7 7 20 10 1 263.722 37.538 64.597 8 7 20 10 1 263.722 37.538 64.597 9 7 20 10 1 206.865 60.889 308.280 10 7 20 43 1 206.865 60.889 308.280 11 7 20 43 1 206.865 60.889 308.280 12 7 20 43 1 32.741 35.872 10.181 13 7 20 25 1 32.741 35.872 10.181 14 7 20 25 1 337.952 156.456 36.702 15 7 20 24 1 337.952 156.456 36.702 16 7 20 24 1 337.952 156.456 36.702 17 7 20 24 1 337.952 156.456 36.702 18 7 20 24 1 337.952 156.456 36.702 19 7 20 24 1 337.952 156.456 36.702 20 7 20 24 1 134.113 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1 263.722 37.538 64.597 10 9 20 10 1 263.722 37.538 64.597 11 9 20 10 1 206.865 60.889 308.280 12 9 20 43 1 32.741 35.872 10.181 13 9 20 25 1 313.941 133.588 281.173 14 9 20 31 1 313.941 133.588 281.173 15 9 20 31 1 313.941 133.588 281.173 16 9 20 31 1 337.952 156.456 36.702 17 9 20 24 1 337.952 156.456 36.702 18 9 20 24 1 337.952 156.456 36.702 19 9 20 24 1 337.952 156.456 36.702 20 9 20 24 1 134.113 92.523 201.119 1 10 20 36 1 134.113 92.523 201.119 2 10 20 36 1 134.113 92.523 201.119 3 10 20 36 1 263.722 37.538 64.597 4 10 20 10 1 263.722 37.538 64.597 5 10 20 10 1 263.722 37.538 64.597 6 10 20 10 1 263.722 37.538 64.597 7 10 20 10 1 263.722 37.538 64.597 8 10 20 10 1 263.722 37.538 64.597 9 10 20 10 1 263.722 37.538 64.597 10 10 20 10 1 263.722 37.538 64.597 11 10 20 10 1 263.722 37.538 64.597 12 10 20 10 1 313.941 133.588 281.173 13 10 20 31 1 313.941 133.588 281.173 14 10 20 31 1 313.941 133.588 281.173 15 10 20 31 1 313.941 133.588 281.173 16 10 20 31 1 313.941 133.588 281.173 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174.974 118.636 115.906 5 16 20 18 1 174.974 118.636 115.906 6 16 20 18 1 223.840 69.973 177.562 7 16 20 37 1 223.840 69.973 177.562 8 16 20 37 1 223.840 69.973 177.562 9 16 20 37 1 223.840 69.973 177.562 10 16 20 37 1 223.840 69.973 177.562 11 16 20 37 1 313.941 133.588 281.173 12 16 20 31 1 313.941 133.588 281.173 13 16 20 31 1 313.941 133.588 281.173 14 16 20 31 1 313.941 133.588 281.173 15 16 20 31 1 313.941 133.588 281.173 16 16 20 31 1 313.941 133.588 281.173 17 16 20 31 1 313.941 133.588 281.173 18 16 20 31 1 313.941 133.588 281.173 19 16 20 31 1 313.941 133.588 281.173 20 16 20 31 1 174.974 118.636 115.906 1 17 20 18 1 174.974 118.636 115.906 2 17 20 18 1 174.974 118.636 115.906 3 17 20 18 1 174.974 118.636 115.906 4 17 20 18 1 174.974 118.636 115.906 5 17 20 18 1 223.840 69.973 177.562 6 17 20 37 1 223.840 69.973 177.562 7 17 20 37 1 223.840 69.973 177.562 8 17 20 37 1 223.840 69.973 177.562 9 17 20 37 1 223.840 69.973 177.562 10 17 20 37 1 223.840 69.973 177.562 11 17 20 37 1 223.840 69.973 177.562 12 17 20 37 1 313.941 133.588 281.173 13 17 20 31 1 313.941 133.588 281.173 14 17 20 31 1 313.941 133.588 281.173 15 17 20 31 1 313.941 133.588 281.173 16 17 20 31 1 313.941 133.588 281.173 17 17 20 31 1 313.941 133.588 281.173 18 17 20 31 1 313.941 133.588 281.173 19 17 20 31 1 313.941 133.588 281.173 20 17 20 31 1 174.974 118.636 115.906 1 18 20 18 1 174.974 118.636 115.906 2 18 20 18 1 174.974 118.636 115.906 3 18 20 18 1 174.974 118.636 115.906 4 18 20 18 1 223.840 69.973 177.562 5 18 20 37 1 223.840 69.973 177.562 6 18 20 37 1 223.840 69.973 177.562 7 18 20 37 1 223.840 69.973 177.562 8 18 20 37 1 223.840 69.973 177.562 9 18 20 37 1 223.840 69.973 177.562 10 18 20 37 1 223.840 69.973 177.562 11 18 20 37 1 223.840 69.973 177.562 12 18 20 37 1 223.840 69.973 177.562 13 18 20 37 1 147.237 136.696 99.729 14 18 20 9 1 147.237 136.696 99.729 15 18 20 9 1 147.237 136.696 99.729 16 18 20 9 1 147.237 136.696 99.729 17 18 20 9 1 147.237 136.696 99.729 18 18 20 9 1 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780, 802, 361, 360, 801 324, 782, 341, 340, 781, 803, 362, 361, 802 325, 783, 342, 341, 782, 804, 363, 362, 803 326, 784, 343, 342, 783, 805, 364, 363, 804 327, 785, 344, 343, 784, 806, 365, 364, 805 328, 786, 345, 344, 785, 807, 366, 365, 806 329, 787, 346, 345, 786, 808, 367, 366, 807 330, 788, 347, 346, 787, 809, 368, 367, 808 331, 789, 348, 347, 788, 810, 369, 368, 809 332, 790, 349, 348, 789, 811, 370, 369, 810 333, 791, 350, 349, 790, 812, 371, 370, 811 334, 792, 351, 350, 791, 813, 372, 371, 812 335, 793, 352, 351, 792, 814, 373, 372, 813 336, 794, 353, 352, 793, 815, 374, 373, 814 337, 795, 354, 353, 794, 816, 375, 374, 815 338, 796, 355, 354, 795, 817, 376, 375, 816 339, 797, 356, 355, 796, 818, 377, 376, 817 340, 798, 357, 356, 797, 819, 378, 377, 818 341, 800, 359, 358, 799, 821, 380, 379, 820 342, 801, 360, 359, 800, 822, 381, 380, 821 343, 802, 361, 360, 801, 823, 382, 381, 822 344, 803, 362, 361, 802, 824, 383, 382, 823 345, 804, 363, 362, 803, 825, 384, 383, 824 346, 805, 364, 363, 804, 826, 385, 384, 825 347, 806, 365, 364, 805, 827, 386, 385, 826 348, 807, 366, 365, 806, 828, 387, 386, 827 349, 808, 367, 366, 807, 829, 388, 387, 828 350, 809, 368, 367, 808, 830, 389, 388, 829 351, 810, 369, 368, 809, 831, 390, 389, 830 352, 811, 370, 369, 810, 832, 391, 390, 831 353, 812, 371, 370, 811, 833, 392, 391, 832 354, 813, 372, 371, 812, 834, 393, 392, 833 355, 814, 373, 372, 813, 835, 394, 393, 834 356, 815, 374, 373, 814, 836, 395, 394, 835 357, 816, 375, 374, 815, 837, 396, 395, 836 358, 817, 376, 375, 816, 838, 397, 396, 837 359, 818, 377, 376, 817, 839, 398, 397, 838 360, 819, 378, 377, 818, 840, 399, 398, 839 361, 821, 380, 379, 820, 842, 401, 400, 841 362, 822, 381, 380, 821, 843, 402, 401, 842 363, 823, 382, 381, 822, 844, 403, 402, 843 364, 824, 383, 382, 823, 845, 404, 403, 844 365, 825, 384, 383, 824, 846, 405, 404, 845 366, 826, 385, 384, 825, 847, 406, 405, 846 367, 827, 386, 385, 826, 848, 407, 406, 847 368, 828, 387, 386, 827, 849, 408, 407, 848 369, 829, 388, 387, 828, 850, 409, 408, 849 370, 830, 389, 388, 829, 851, 410, 409, 850 371, 831, 390, 389, 830, 852, 411, 410, 851 372, 832, 391, 390, 831, 853, 412, 411, 852 373, 833, 392, 391, 832, 854, 413, 412, 853 374, 834, 393, 392, 833, 855, 414, 413, 854 375, 835, 394, 393, 834, 856, 415, 414, 855 376, 836, 395, 394, 835, 857, 416, 415, 856 377, 837, 396, 395, 836, 858, 417, 416, 857 378, 838, 397, 396, 837, 859, 418, 417, 858 379, 839, 398, 397, 838, 860, 419, 418, 859 380, 840, 399, 398, 839, 861, 420, 419, 860 381, 842, 401, 400, 841, 863, 422, 421, 862 382, 843, 402, 401, 842, 864, 423, 422, 863 383, 844, 403, 402, 843, 865, 424, 423, 864 384, 845, 404, 403, 844, 866, 425, 424, 865 385, 846, 405, 404, 845, 867, 426, 425, 866 386, 847, 406, 405, 846, 868, 427, 426, 867 387, 848, 407, 406, 847, 869, 428, 427, 868 388, 849, 408, 407, 848, 870, 429, 428, 869 389, 850, 409, 408, 849, 871, 430, 429, 870 390, 851, 410, 409, 850, 872, 431, 430, 871 391, 852, 411, 410, 851, 873, 432, 431, 872 392, 853, 412, 411, 852, 874, 433, 432, 873 393, 854, 413, 412, 853, 875, 434, 433, 874 394, 855, 414, 413, 854, 876, 435, 434, 875 395, 856, 415, 414, 855, 877, 436, 435, 876 396, 857, 416, 415, 856, 878, 437, 436, 877 397, 858, 417, 416, 857, 879, 438, 437, 878 398, 859, 418, 417, 858, 880, 439, 438, 879 399, 860, 419, 418, 859, 881, 440, 439, 880 400, 861, 420, 419, 860, 882, 441, 440, 881 401, 884, 443, 442, 883, 905, 464, 463, 904 402, 885, 444, 443, 884, 906, 465, 464, 905 403, 886, 445, 444, 885, 907, 466, 465, 906 404, 887, 446, 445, 886, 908, 467, 466, 907 405, 888, 447, 446, 887, 909, 468, 467, 908 406, 889, 448, 447, 888, 910, 469, 468, 909 407, 890, 449, 448, 889, 911, 470, 469, 910 408, 891, 450, 449, 890, 912, 471, 470, 911 409, 892, 451, 450, 891, 913, 472, 471, 912 410, 893, 452, 451, 892, 914, 473, 472, 913 411, 894, 453, 452, 893, 915, 474, 473, 914 412, 895, 454, 453, 894, 916, 475, 474, 915 413, 896, 455, 454, 895, 917, 476, 475, 916 414, 897, 456, 455, 896, 918, 477, 476, 917 415, 898, 457, 456, 897, 919, 478, 477, 918 416, 899, 458, 457, 898, 920, 479, 478, 919 417, 900, 459, 458, 899, 921, 480, 479, 920 418, 901, 460, 459, 900, 922, 481, 480, 921 419, 902, 461, 460, 901, 923, 482, 481, 922 420, 903, 462, 461, 902, 924, 483, 482, 923 421, 905, 464, 463, 904, 926, 485, 484, 925 422, 906, 465, 464, 905, 927, 486, 485, 926 423, 907, 466, 465, 906, 928, 487, 486, 927 424, 908, 467, 466, 907, 929, 488, 487, 928 425, 909, 468, 467, 908, 930, 489, 488, 929 426, 910, 469, 468, 909, 931, 490, 489, 930 427, 911, 470, 469, 910, 932, 491, 490, 931 428, 912, 471, 470, 911, 933, 492, 491, 932 429, 913, 472, 471, 912, 934, 493, 492, 933 430, 914, 473, 472, 913, 935, 494, 493, 934 431, 915, 474, 473, 914, 936, 495, 494, 935 432, 916, 475, 474, 915, 937, 496, 495, 936 433, 917, 476, 475, 916, 938, 497, 496, 937 434, 918, 477, 476, 917, 939, 498, 497, 938 435, 919, 478, 477, 918, 940, 499, 498, 939 436, 920, 479, 478, 919, 941, 500, 499, 940 437, 921, 480, 479, 920, 942, 501, 500, 941 438, 922, 481, 480, 921, 943, 502, 501, 942 439, 923, 482, 481, 922, 944, 503, 502, 943 440, 924, 483, 482, 923, 945, 504, 503, 944 441, 926, 485, 484, 925, 947, 506, 505, 946 442, 927, 486, 485, 926, 948, 507, 506, 947 443, 928, 487, 486, 927, 949, 508, 507, 948 444, 929, 488, 487, 928, 950, 509, 508, 949 445, 930, 489, 488, 929, 951, 510, 509, 950 446, 931, 490, 489, 930, 952, 511, 510, 951 447, 932, 491, 490, 931, 953, 512, 511, 952 448, 933, 492, 491, 932, 954, 513, 512, 953 449, 934, 493, 492, 933, 955, 514, 513, 954 450, 935, 494, 493, 934, 956, 515, 514, 955 451, 936, 495, 494, 935, 957, 516, 515, 956 452, 937, 496, 495, 936, 958, 517, 516, 957 453, 938, 497, 496, 937, 959, 518, 517, 958 454, 939, 498, 497, 938, 960, 519, 518, 959 455, 940, 499, 498, 939, 961, 520, 519, 960 456, 941, 500, 499, 940, 962, 521, 520, 961 457, 942, 501, 500, 941, 963, 522, 521, 962 458, 943, 502, 501, 942, 964, 523, 522, 963 459, 944, 503, 502, 943, 965, 524, 523, 964 460, 945, 504, 503, 944, 966, 525, 524, 965 461, 947, 506, 505, 946, 968, 527, 526, 967 462, 948, 507, 506, 947, 969, 528, 527, 968 463, 949, 508, 507, 948, 970, 529, 528, 969 464, 950, 509, 508, 949, 971, 530, 529, 970 465, 951, 510, 509, 950, 972, 531, 530, 971 466, 952, 511, 510, 951, 973, 532, 531, 972 467, 953, 512, 511, 952, 974, 533, 532, 973 468, 954, 513, 512, 953, 975, 534, 533, 974 469, 955, 514, 513, 954, 976, 535, 534, 975 470, 956, 515, 514, 955, 977, 536, 535, 976 471, 957, 516, 515, 956, 978, 537, 536, 977 472, 958, 517, 516, 957, 979, 538, 537, 978 473, 959, 518, 517, 958, 980, 539, 538, 979 474, 960, 519, 518, 959, 981, 540, 539, 980 475, 961, 520, 519, 960, 982, 541, 540, 981 476, 962, 521, 520, 961, 983, 542, 541, 982 477, 963, 522, 521, 962, 984, 543, 542, 983 478, 964, 523, 522, 963, 985, 544, 543, 984 479, 965, 524, 523, 964, 986, 545, 544, 985 480, 966, 525, 524, 965, 987, 546, 545, 986 481, 968, 527, 526, 967, 989, 548, 547, 988 482, 969, 528, 527, 968, 990, 549, 548, 989 483, 970, 529, 528, 969, 991, 550, 549, 990 484, 971, 530, 529, 970, 992, 551, 550, 991 485, 972, 531, 530, 971, 993, 552, 551, 992 486, 973, 532, 531, 972, 994, 553, 552, 993 487, 974, 533, 532, 973, 995, 554, 553, 994 488, 975, 534, 533, 974, 996, 555, 554, 995 489, 976, 535, 534, 975, 997, 556, 555, 996 490, 977, 536, 535, 976, 998, 557, 556, 997 491, 978, 537, 536, 977, 999, 558, 557, 998 492, 979, 538, 537, 978, 1000, 559, 558, 999 493, 980, 539, 538, 979, 1001, 560, 559, 1000 494, 981, 540, 539, 980, 1002, 561, 560, 1001 495, 982, 541, 540, 981, 1003, 562, 561, 1002 496, 983, 542, 541, 982, 1004, 563, 562, 1003 497, 984, 543, 542, 983, 1005, 564, 563, 1004 498, 985, 544, 543, 984, 1006, 565, 564, 1005 499, 986, 545, 544, 985, 1007, 566, 565, 1006 500, 987, 546, 545, 986, 1008, 567, 566, 1007 501, 989, 548, 547, 988, 1010, 569, 568, 1009 502, 990, 549, 548, 989, 1011, 570, 569, 1010 503, 991, 550, 549, 990, 1012, 571, 570, 1011 504, 992, 551, 550, 991, 1013, 572, 571, 1012 505, 993, 552, 551, 992, 1014, 573, 572, 1013 506, 994, 553, 552, 993, 1015, 574, 573, 1014 507, 995, 554, 553, 994, 1016, 575, 574, 1015 508, 996, 555, 554, 995, 1017, 576, 575, 1016 509, 997, 556, 555, 996, 1018, 577, 576, 1017 510, 998, 557, 556, 997, 1019, 578, 577, 1018 511, 999, 558, 557, 998, 1020, 579, 578, 1019 512, 1000, 559, 558, 999, 1021, 580, 579, 1020 513, 1001, 560, 559, 1000, 1022, 581, 580, 1021 514, 1002, 561, 560, 1001, 1023, 582, 581, 1022 515, 1003, 562, 561, 1002, 1024, 583, 582, 1023 516, 1004, 563, 562, 1003, 1025, 584, 583, 1024 517, 1005, 564, 563, 1004, 1026, 585, 584, 1025 518, 1006, 565, 564, 1005, 1027, 586, 585, 1026 519, 1007, 566, 565, 1006, 1028, 587, 586, 1027 520, 1008, 567, 566, 1007, 1029, 588, 587, 1028 521, 1010, 569, 568, 1009, 1031, 590, 589, 1030 522, 1011, 570, 569, 1010, 1032, 591, 590, 1031 523, 1012, 571, 570, 1011, 1033, 592, 591, 1032 524, 1013, 572, 571, 1012, 1034, 593, 592, 1033 525, 1014, 573, 572, 1013, 1035, 594, 593, 1034 526, 1015, 574, 573, 1014, 1036, 595, 594, 1035 527, 1016, 575, 574, 1015, 1037, 596, 595, 1036 528, 1017, 576, 575, 1016, 1038, 597, 596, 1037 529, 1018, 577, 576, 1017, 1039, 598, 597, 1038 530, 1019, 578, 577, 1018, 1040, 599, 598, 1039 531, 1020, 579, 578, 1019, 1041, 600, 599, 1040 532, 1021, 580, 579, 1020, 1042, 601, 600, 1041 533, 1022, 581, 580, 1021, 1043, 602, 601, 1042 534, 1023, 582, 581, 1022, 1044, 603, 602, 1043 535, 1024, 583, 582, 1023, 1045, 604, 603, 1044 536, 1025, 584, 583, 1024, 1046, 605, 604, 1045 537, 1026, 585, 584, 1025, 1047, 606, 605, 1046 538, 1027, 586, 585, 1026, 1048, 607, 606, 1047 539, 1028, 587, 586, 1027, 1049, 608, 607, 1048 540, 1029, 588, 587, 1028, 1050, 609, 608, 1049 541, 1031, 590, 589, 1030, 1052, 611, 610, 1051 542, 1032, 591, 590, 1031, 1053, 612, 611, 1052 543, 1033, 592, 591, 1032, 1054, 613, 612, 1053 544, 1034, 593, 592, 1033, 1055, 614, 613, 1054 545, 1035, 594, 593, 1034, 1056, 615, 614, 1055 546, 1036, 595, 594, 1035, 1057, 616, 615, 1056 547, 1037, 596, 595, 1036, 1058, 617, 616, 1057 548, 1038, 597, 596, 1037, 1059, 618, 617, 1058 549, 1039, 598, 597, 1038, 1060, 619, 618, 1059 550, 1040, 599, 598, 1039, 1061, 620, 619, 1060 551, 1041, 600, 599, 1040, 1062, 621, 620, 1061 552, 1042, 601, 600, 1041, 1063, 622, 621, 1062 553, 1043, 602, 601, 1042, 1064, 623, 622, 1063 554, 1044, 603, 602, 1043, 1065, 624, 623, 1064 555, 1045, 604, 603, 1044, 1066, 625, 624, 1065 556, 1046, 605, 604, 1045, 1067, 626, 625, 1066 557, 1047, 606, 605, 1046, 1068, 627, 626, 1067 558, 1048, 607, 606, 1047, 1069, 628, 627, 1068 559, 1049, 608, 607, 1048, 1070, 629, 628, 1069 560, 1050, 609, 608, 1049, 1071, 630, 629, 1070 561, 1052, 611, 610, 1051, 1073, 632, 631, 1072 562, 1053, 612, 611, 1052, 1074, 633, 632, 1073 563, 1054, 613, 612, 1053, 1075, 634, 633, 1074 564, 1055, 614, 613, 1054, 1076, 635, 634, 1075 565, 1056, 615, 614, 1055, 1077, 636, 635, 1076 566, 1057, 616, 615, 1056, 1078, 637, 636, 1077 567, 1058, 617, 616, 1057, 1079, 638, 637, 1078 568, 1059, 618, 617, 1058, 1080, 639, 638, 1079 569, 1060, 619, 618, 1059, 1081, 640, 639, 1080 570, 1061, 620, 619, 1060, 1082, 641, 640, 1081 571, 1062, 621, 620, 1061, 1083, 642, 641, 1082 572, 1063, 622, 621, 1062, 1084, 643, 642, 1083 573, 1064, 623, 622, 1063, 1085, 644, 643, 1084 574, 1065, 624, 623, 1064, 1086, 645, 644, 1085 575, 1066, 625, 624, 1065, 1087, 646, 645, 1086 576, 1067, 626, 625, 1066, 1088, 647, 646, 1087 577, 1068, 627, 626, 1067, 1089, 648, 647, 1088 578, 1069, 628, 627, 1068, 1090, 649, 648, 1089 579, 1070, 629, 628, 1069, 1091, 650, 649, 1090 580, 1071, 630, 629, 1070, 1092, 651, 650, 1091 581, 1073, 632, 631, 1072, 1094, 653, 652, 1093 582, 1074, 633, 632, 1073, 1095, 654, 653, 1094 583, 1075, 634, 633, 1074, 1096, 655, 654, 1095 584, 1076, 635, 634, 1075, 1097, 656, 655, 1096 585, 1077, 636, 635, 1076, 1098, 657, 656, 1097 586, 1078, 637, 636, 1077, 1099, 658, 657, 1098 587, 1079, 638, 637, 1078, 1100, 659, 658, 1099 588, 1080, 639, 638, 1079, 1101, 660, 659, 1100 589, 1081, 640, 639, 1080, 1102, 661, 660, 1101 590, 1082, 641, 640, 1081, 1103, 662, 661, 1102 591, 1083, 642, 641, 1082, 1104, 663, 662, 1103 592, 1084, 643, 642, 1083, 1105, 664, 663, 1104 593, 1085, 644, 643, 1084, 1106, 665, 664, 1105 594, 1086, 645, 644, 1085, 1107, 666, 665, 1106 595, 1087, 646, 645, 1086, 1108, 667, 666, 1107 596, 1088, 647, 646, 1087, 1109, 668, 667, 1108 597, 1089, 648, 647, 1088, 1110, 669, 668, 1109 598, 1090, 649, 648, 1089, 1111, 670, 669, 1110 599, 1091, 650, 649, 1090, 1112, 671, 670, 1111 600, 1092, 651, 650, 1091, 1113, 672, 671, 1112 601, 1094, 653, 652, 1093, 1115, 674, 673, 1114 602, 1095, 654, 653, 1094, 1116, 675, 674, 1115 603, 1096, 655, 654, 1095, 1117, 676, 675, 1116 604, 1097, 656, 655, 1096, 1118, 677, 676, 1117 605, 1098, 657, 656, 1097, 1119, 678, 677, 1118 606, 1099, 658, 657, 1098, 1120, 679, 678, 1119 607, 1100, 659, 658, 1099, 1121, 680, 679, 1120 608, 1101, 660, 659, 1100, 1122, 681, 680, 1121 609, 1102, 661, 660, 1101, 1123, 682, 681, 1122 610, 1103, 662, 661, 1102, 1124, 683, 682, 1123 611, 1104, 663, 662, 1103, 1125, 684, 683, 1124 612, 1105, 664, 663, 1104, 1126, 685, 684, 1125 613, 1106, 665, 664, 1105, 1127, 686, 685, 1126 614, 1107, 666, 665, 1106, 1128, 687, 686, 1127 615, 1108, 667, 666, 1107, 1129, 688, 687, 1128 616, 1109, 668, 667, 1108, 1130, 689, 688, 1129 617, 1110, 669, 668, 1109, 1131, 690, 689, 1130 618, 1111, 670, 669, 1110, 1132, 691, 690, 1131 619, 1112, 671, 670, 1111, 1133, 692, 691, 1132 620, 1113, 672, 671, 1112, 1134, 693, 692, 1133 621, 1115, 674, 673, 1114, 1136, 695, 694, 1135 622, 1116, 675, 674, 1115, 1137, 696, 695, 1136 623, 1117, 676, 675, 1116, 1138, 697, 696, 1137 624, 1118, 677, 676, 1117, 1139, 698, 697, 1138 625, 1119, 678, 677, 1118, 1140, 699, 698, 1139 626, 1120, 679, 678, 1119, 1141, 700, 699, 1140 627, 1121, 680, 679, 1120, 1142, 701, 700, 1141 628, 1122, 681, 680, 1121, 1143, 702, 701, 1142 629, 1123, 682, 681, 1122, 1144, 703, 702, 1143 630, 1124, 683, 682, 1123, 1145, 704, 703, 1144 631, 1125, 684, 683, 1124, 1146, 705, 704, 1145 632, 1126, 685, 684, 1125, 1147, 706, 705, 1146 633, 1127, 686, 685, 1126, 1148, 707, 706, 1147 634, 1128, 687, 686, 1127, 1149, 708, 707, 1148 635, 1129, 688, 687, 1128, 1150, 709, 708, 1149 636, 1130, 689, 688, 1129, 1151, 710, 709, 1150 637, 1131, 690, 689, 1130, 1152, 711, 710, 1151 638, 1132, 691, 690, 1131, 1153, 712, 711, 1152 639, 1133, 692, 691, 1132, 1154, 713, 712, 1153 640, 1134, 693, 692, 1133, 1155, 714, 713, 1154 641, 1136, 695, 694, 1135, 1157, 716, 715, 1156 642, 1137, 696, 695, 1136, 1158, 717, 716, 1157 643, 1138, 697, 696, 1137, 1159, 718, 717, 1158 644, 1139, 698, 697, 1138, 1160, 719, 718, 1159 645, 1140, 699, 698, 1139, 1161, 720, 719, 1160 646, 1141, 700, 699, 1140, 1162, 721, 720, 1161 647, 1142, 701, 700, 1141, 1163, 722, 721, 1162 648, 1143, 702, 701, 1142, 1164, 723, 722, 1163 649, 1144, 703, 702, 1143, 1165, 724, 723, 1164 650, 1145, 704, 703, 1144, 1166, 725, 724, 1165 651, 1146, 705, 704, 1145, 1167, 726, 725, 1166 652, 1147, 706, 705, 1146, 1168, 727, 726, 1167 653, 1148, 707, 706, 1147, 1169, 728, 727, 1168 654, 1149, 708, 707, 1148, 1170, 729, 728, 1169 655, 1150, 709, 708, 1149, 1171, 730, 729, 1170 656, 1151, 710, 709, 1150, 1172, 731, 730, 1171 657, 1152, 711, 710, 1151, 1173, 732, 731, 1172 658, 1153, 712, 711, 1152, 1174, 733, 732, 1173 659, 1154, 713, 712, 1153, 1175, 734, 733, 1174 660, 1155, 714, 713, 1154, 1176, 735, 734, 1175 661, 1157, 716, 715, 1156, 1178, 737, 736, 1177 662, 1158, 717, 716, 1157, 1179, 738, 737, 1178 663, 1159, 718, 717, 1158, 1180, 739, 738, 1179 664, 1160, 719, 718, 1159, 1181, 740, 739, 1180 665, 1161, 720, 719, 1160, 1182, 741, 740, 1181 666, 1162, 721, 720, 1161, 1183, 742, 741, 1182 667, 1163, 722, 721, 1162, 1184, 743, 742, 1183 668, 1164, 723, 722, 1163, 1185, 744, 743, 1184 669, 1165, 724, 723, 1164, 1186, 745, 744, 1185 670, 1166, 725, 724, 1165, 1187, 746, 745, 1186 671, 1167, 726, 725, 1166, 1188, 747, 746, 1187 672, 1168, 727, 726, 1167, 1189, 748, 747, 1188 673, 1169, 728, 727, 1168, 1190, 749, 748, 1189 674, 1170, 729, 728, 1169, 1191, 750, 749, 1190 675, 1171, 730, 729, 1170, 1192, 751, 750, 1191 676, 1172, 731, 730, 1171, 1193, 752, 751, 1192 677, 1173, 732, 731, 1172, 1194, 753, 752, 1193 678, 1174, 733, 732, 1173, 1195, 754, 753, 1194 679, 1175, 734, 733, 1174, 1196, 755, 754, 1195 680, 1176, 735, 734, 1175, 1197, 756, 755, 1196 681, 1178, 737, 736, 1177, 1199, 758, 757, 1198 682, 1179, 738, 737, 1178, 1200, 759, 758, 1199 683, 1180, 739, 738, 1179, 1201, 760, 759, 1200 684, 1181, 740, 739, 1180, 1202, 761, 760, 1201 685, 1182, 741, 740, 1181, 1203, 762, 761, 1202 686, 1183, 742, 741, 1182, 1204, 763, 762, 1203 687, 1184, 743, 742, 1183, 1205, 764, 763, 1204 688, 1185, 744, 743, 1184, 1206, 765, 764, 1205 689, 1186, 745, 744, 1185, 1207, 766, 765, 1206 690, 1187, 746, 745, 1186, 1208, 767, 766, 1207 691, 1188, 747, 746, 1187, 1209, 768, 767, 1208 692, 1189, 748, 747, 1188, 1210, 769, 768, 1209 693, 1190, 749, 748, 1189, 1211, 770, 769, 1210 694, 1191, 750, 749, 1190, 1212, 771, 770, 1211 695, 1192, 751, 750, 1191, 1213, 772, 771, 1212 696, 1193, 752, 751, 1192, 1214, 773, 772, 1213 697, 1194, 753, 752, 1193, 1215, 774, 773, 1214 698, 1195, 754, 753, 1194, 1216, 775, 774, 1215 699, 1196, 755, 754, 1195, 1217, 776, 775, 1216 700, 1197, 756, 755, 1196, 1218, 777, 776, 1217 701, 1199, 758, 757, 1198, 1220, 779, 778, 1219 702, 1200, 759, 758, 1199, 1221, 780, 779, 1220 703, 1201, 760, 759, 1200, 1222, 781, 780, 1221 704, 1202, 761, 760, 1201, 1223, 782, 781, 1222 705, 1203, 762, 761, 1202, 1224, 783, 782, 1223 706, 1204, 763, 762, 1203, 1225, 784, 783, 1224 707, 1205, 764, 763, 1204, 1226, 785, 784, 1225 708, 1206, 765, 764, 1205, 1227, 786, 785, 1226 709, 1207, 766, 765, 1206, 1228, 787, 786, 1227 710, 1208, 767, 766, 1207, 1229, 788, 787, 1228 711, 1209, 768, 767, 1208, 1230, 789, 788, 1229 712, 1210, 769, 768, 1209, 1231, 790, 789, 1230 713, 1211, 770, 769, 1210, 1232, 791, 790, 1231 714, 1212, 771, 770, 1211, 1233, 792, 791, 1232 715, 1213, 772, 771, 1212, 1234, 793, 792, 1233 716, 1214, 773, 772, 1213, 1235, 794, 793, 1234 717, 1215, 774, 773, 1214, 1236, 795, 794, 1235 718, 1216, 775, 774, 1215, 1237, 796, 795, 1236 719, 1217, 776, 775, 1216, 1238, 797, 796, 1237 720, 1218, 777, 776, 1217, 1239, 798, 797, 1238 721, 1220, 779, 778, 1219, 1241, 800, 799, 1240 722, 1221, 780, 779, 1220, 1242, 801, 800, 1241 723, 1222, 781, 780, 1221, 1243, 802, 801, 1242 724, 1223, 782, 781, 1222, 1244, 803, 802, 1243 725, 1224, 783, 782, 1223, 1245, 804, 803, 1244 726, 1225, 784, 783, 1224, 1246, 805, 804, 1245 727, 1226, 785, 784, 1225, 1247, 806, 805, 1246 728, 1227, 786, 785, 1226, 1248, 807, 806, 1247 729, 1228, 787, 786, 1227, 1249, 808, 807, 1248 730, 1229, 788, 787, 1228, 1250, 809, 808, 1249 731, 1230, 789, 788, 1229, 1251, 810, 809, 1250 732, 1231, 790, 789, 1230, 1252, 811, 810, 1251 733, 1232, 791, 790, 1231, 1253, 812, 811, 1252 734, 1233, 792, 791, 1232, 1254, 813, 812, 1253 735, 1234, 793, 792, 1233, 1255, 814, 813, 1254 736, 1235, 794, 793, 1234, 1256, 815, 814, 1255 737, 1236, 795, 794, 1235, 1257, 816, 815, 1256 738, 1237, 796, 795, 1236, 1258, 817, 816, 1257 739, 1238, 797, 796, 1237, 1259, 818, 817, 1258 740, 1239, 798, 797, 1238, 1260, 819, 818, 1259 741, 1241, 800, 799, 1240, 1262, 821, 820, 1261 742, 1242, 801, 800, 1241, 1263, 822, 821, 1262 743, 1243, 802, 801, 1242, 1264, 823, 822, 1263 744, 1244, 803, 802, 1243, 1265, 824, 823, 1264 745, 1245, 804, 803, 1244, 1266, 825, 824, 1265 746, 1246, 805, 804, 1245, 1267, 826, 825, 1266 747, 1247, 806, 805, 1246, 1268, 827, 826, 1267 748, 1248, 807, 806, 1247, 1269, 828, 827, 1268 749, 1249, 808, 807, 1248, 1270, 829, 828, 1269 750, 1250, 809, 808, 1249, 1271, 830, 829, 1270 751, 1251, 810, 809, 1250, 1272, 831, 830, 1271 752, 1252, 811, 810, 1251, 1273, 832, 831, 1272 753, 1253, 812, 811, 1252, 1274, 833, 832, 1273 754, 1254, 813, 812, 1253, 1275, 834, 833, 1274 755, 1255, 814, 813, 1254, 1276, 835, 834, 1275 756, 1256, 815, 814, 1255, 1277, 836, 835, 1276 757, 1257, 816, 815, 1256, 1278, 837, 836, 1277 758, 1258, 817, 816, 1257, 1279, 838, 837, 1278 759, 1259, 818, 817, 1258, 1280, 839, 838, 1279 760, 1260, 819, 818, 1259, 1281, 840, 839, 1280 761, 1262, 821, 820, 1261, 1283, 842, 841, 1282 762, 1263, 822, 821, 1262, 1284, 843, 842, 1283 763, 1264, 823, 822, 1263, 1285, 844, 843, 1284 764, 1265, 824, 823, 1264, 1286, 845, 844, 1285 765, 1266, 825, 824, 1265, 1287, 846, 845, 1286 766, 1267, 826, 825, 1266, 1288, 847, 846, 1287 767, 1268, 827, 826, 1267, 1289, 848, 847, 1288 768, 1269, 828, 827, 1268, 1290, 849, 848, 1289 769, 1270, 829, 828, 1269, 1291, 850, 849, 1290 770, 1271, 830, 829, 1270, 1292, 851, 850, 1291 771, 1272, 831, 830, 1271, 1293, 852, 851, 1292 772, 1273, 832, 831, 1272, 1294, 853, 852, 1293 773, 1274, 833, 832, 1273, 1295, 854, 853, 1294 774, 1275, 834, 833, 1274, 1296, 855, 854, 1295 775, 1276, 835, 834, 1275, 1297, 856, 855, 1296 776, 1277, 836, 835, 1276, 1298, 857, 856, 1297 777, 1278, 837, 836, 1277, 1299, 858, 857, 1298 778, 1279, 838, 837, 1278, 1300, 859, 858, 1299 779, 1280, 839, 838, 1279, 1301, 860, 859, 1300 780, 1281, 840, 839, 1280, 1302, 861, 860, 1301 781, 1283, 842, 841, 1282, 1304, 863, 862, 1303 782, 1284, 843, 842, 1283, 1305, 864, 863, 1304 783, 1285, 844, 843, 1284, 1306, 865, 864, 1305 784, 1286, 845, 844, 1285, 1307, 866, 865, 1306 785, 1287, 846, 845, 1286, 1308, 867, 866, 1307 786, 1288, 847, 846, 1287, 1309, 868, 867, 1308 787, 1289, 848, 847, 1288, 1310, 869, 868, 1309 788, 1290, 849, 848, 1289, 1311, 870, 869, 1310 789, 1291, 850, 849, 1290, 1312, 871, 870, 1311 790, 1292, 851, 850, 1291, 1313, 872, 871, 1312 791, 1293, 852, 851, 1292, 1314, 873, 872, 1313 792, 1294, 853, 852, 1293, 1315, 874, 873, 1314 793, 1295, 854, 853, 1294, 1316, 875, 874, 1315 794, 1296, 855, 854, 1295, 1317, 876, 875, 1316 795, 1297, 856, 855, 1296, 1318, 877, 876, 1317 796, 1298, 857, 856, 1297, 1319, 878, 877, 1318 797, 1299, 858, 857, 1298, 1320, 879, 878, 1319 798, 1300, 859, 858, 1299, 1321, 880, 879, 1320 799, 1301, 860, 859, 1300, 1322, 881, 880, 1321 800, 1302, 861, 860, 1301, 1323, 882, 881, 1322 801, 1325, 884, 883, 1324, 1346, 905, 904, 1345 802, 1326, 885, 884, 1325, 1347, 906, 905, 1346 803, 1327, 886, 885, 1326, 1348, 907, 906, 1347 804, 1328, 887, 886, 1327, 1349, 908, 907, 1348 805, 1329, 888, 887, 1328, 1350, 909, 908, 1349 806, 1330, 889, 888, 1329, 1351, 910, 909, 1350 807, 1331, 890, 889, 1330, 1352, 911, 910, 1351 808, 1332, 891, 890, 1331, 1353, 912, 911, 1352 809, 1333, 892, 891, 1332, 1354, 913, 912, 1353 810, 1334, 893, 892, 1333, 1355, 914, 913, 1354 811, 1335, 894, 893, 1334, 1356, 915, 914, 1355 812, 1336, 895, 894, 1335, 1357, 916, 915, 1356 813, 1337, 896, 895, 1336, 1358, 917, 916, 1357 814, 1338, 897, 896, 1337, 1359, 918, 917, 1358 815, 1339, 898, 897, 1338, 1360, 919, 918, 1359 816, 1340, 899, 898, 1339, 1361, 920, 919, 1360 817, 1341, 900, 899, 1340, 1362, 921, 920, 1361 818, 1342, 901, 900, 1341, 1363, 922, 921, 1362 819, 1343, 902, 901, 1342, 1364, 923, 922, 1363 820, 1344, 903, 902, 1343, 1365, 924, 923, 1364 821, 1346, 905, 904, 1345, 1367, 926, 925, 1366 822, 1347, 906, 905, 1346, 1368, 927, 926, 1367 823, 1348, 907, 906, 1347, 1369, 928, 927, 1368 824, 1349, 908, 907, 1348, 1370, 929, 928, 1369 825, 1350, 909, 908, 1349, 1371, 930, 929, 1370 826, 1351, 910, 909, 1350, 1372, 931, 930, 1371 827, 1352, 911, 910, 1351, 1373, 932, 931, 1372 828, 1353, 912, 911, 1352, 1374, 933, 932, 1373 829, 1354, 913, 912, 1353, 1375, 934, 933, 1374 830, 1355, 914, 913, 1354, 1376, 935, 934, 1375 831, 1356, 915, 914, 1355, 1377, 936, 935, 1376 832, 1357, 916, 915, 1356, 1378, 937, 936, 1377 833, 1358, 917, 916, 1357, 1379, 938, 937, 1378 834, 1359, 918, 917, 1358, 1380, 939, 938, 1379 835, 1360, 919, 918, 1359, 1381, 940, 939, 1380 836, 1361, 920, 919, 1360, 1382, 941, 940, 1381 837, 1362, 921, 920, 1361, 1383, 942, 941, 1382 838, 1363, 922, 921, 1362, 1384, 943, 942, 1383 839, 1364, 923, 922, 1363, 1385, 944, 943, 1384 840, 1365, 924, 923, 1364, 1386, 945, 944, 1385 841, 1367, 926, 925, 1366, 1388, 947, 946, 1387 842, 1368, 927, 926, 1367, 1389, 948, 947, 1388 843, 1369, 928, 927, 1368, 1390, 949, 948, 1389 844, 1370, 929, 928, 1369, 1391, 950, 949, 1390 845, 1371, 930, 929, 1370, 1392, 951, 950, 1391 846, 1372, 931, 930, 1371, 1393, 952, 951, 1392 847, 1373, 932, 931, 1372, 1394, 953, 952, 1393 848, 1374, 933, 932, 1373, 1395, 954, 953, 1394 849, 1375, 934, 933, 1374, 1396, 955, 954, 1395 850, 1376, 935, 934, 1375, 1397, 956, 955, 1396 851, 1377, 936, 935, 1376, 1398, 957, 956, 1397 852, 1378, 937, 936, 1377, 1399, 958, 957, 1398 853, 1379, 938, 937, 1378, 1400, 959, 958, 1399 854, 1380, 939, 938, 1379, 1401, 960, 959, 1400 855, 1381, 940, 939, 1380, 1402, 961, 960, 1401 856, 1382, 941, 940, 1381, 1403, 962, 961, 1402 857, 1383, 942, 941, 1382, 1404, 963, 962, 1403 858, 1384, 943, 942, 1383, 1405, 964, 963, 1404 859, 1385, 944, 943, 1384, 1406, 965, 964, 1405 860, 1386, 945, 944, 1385, 1407, 966, 965, 1406 861, 1388, 947, 946, 1387, 1409, 968, 967, 1408 862, 1389, 948, 947, 1388, 1410, 969, 968, 1409 863, 1390, 949, 948, 1389, 1411, 970, 969, 1410 864, 1391, 950, 949, 1390, 1412, 971, 970, 1411 865, 1392, 951, 950, 1391, 1413, 972, 971, 1412 866, 1393, 952, 951, 1392, 1414, 973, 972, 1413 867, 1394, 953, 952, 1393, 1415, 974, 973, 1414 868, 1395, 954, 953, 1394, 1416, 975, 974, 1415 869, 1396, 955, 954, 1395, 1417, 976, 975, 1416 870, 1397, 956, 955, 1396, 1418, 977, 976, 1417 871, 1398, 957, 956, 1397, 1419, 978, 977, 1418 872, 1399, 958, 957, 1398, 1420, 979, 978, 1419 873, 1400, 959, 958, 1399, 1421, 980, 979, 1420 874, 1401, 960, 959, 1400, 1422, 981, 980, 1421 875, 1402, 961, 960, 1401, 1423, 982, 981, 1422 876, 1403, 962, 961, 1402, 1424, 983, 982, 1423 877, 1404, 963, 962, 1403, 1425, 984, 983, 1424 878, 1405, 964, 963, 1404, 1426, 985, 984, 1425 879, 1406, 965, 964, 1405, 1427, 986, 985, 1426 880, 1407, 966, 965, 1406, 1428, 987, 986, 1427 881, 1409, 968, 967, 1408, 1430, 989, 988, 1429 882, 1410, 969, 968, 1409, 1431, 990, 989, 1430 883, 1411, 970, 969, 1410, 1432, 991, 990, 1431 884, 1412, 971, 970, 1411, 1433, 992, 991, 1432 885, 1413, 972, 971, 1412, 1434, 993, 992, 1433 886, 1414, 973, 972, 1413, 1435, 994, 993, 1434 887, 1415, 974, 973, 1414, 1436, 995, 994, 1435 888, 1416, 975, 974, 1415, 1437, 996, 995, 1436 889, 1417, 976, 975, 1416, 1438, 997, 996, 1437 890, 1418, 977, 976, 1417, 1439, 998, 997, 1438 891, 1419, 978, 977, 1418, 1440, 999, 998, 1439 892, 1420, 979, 978, 1419, 1441, 1000, 999, 1440 893, 1421, 980, 979, 1420, 1442, 1001, 1000, 1441 894, 1422, 981, 980, 1421, 1443, 1002, 1001, 1442 895, 1423, 982, 981, 1422, 1444, 1003, 1002, 1443 896, 1424, 983, 982, 1423, 1445, 1004, 1003, 1444 897, 1425, 984, 983, 1424, 1446, 1005, 1004, 1445 898, 1426, 985, 984, 1425, 1447, 1006, 1005, 1446 899, 1427, 986, 985, 1426, 1448, 1007, 1006, 1447 900, 1428, 987, 986, 1427, 1449, 1008, 1007, 1448 901, 1430, 989, 988, 1429, 1451, 1010, 1009, 1450 902, 1431, 990, 989, 1430, 1452, 1011, 1010, 1451 903, 1432, 991, 990, 1431, 1453, 1012, 1011, 1452 904, 1433, 992, 991, 1432, 1454, 1013, 1012, 1453 905, 1434, 993, 992, 1433, 1455, 1014, 1013, 1454 906, 1435, 994, 993, 1434, 1456, 1015, 1014, 1455 907, 1436, 995, 994, 1435, 1457, 1016, 1015, 1456 908, 1437, 996, 995, 1436, 1458, 1017, 1016, 1457 909, 1438, 997, 996, 1437, 1459, 1018, 1017, 1458 910, 1439, 998, 997, 1438, 1460, 1019, 1018, 1459 911, 1440, 999, 998, 1439, 1461, 1020, 1019, 1460 912, 1441, 1000, 999, 1440, 1462, 1021, 1020, 1461 913, 1442, 1001, 1000, 1441, 1463, 1022, 1021, 1462 914, 1443, 1002, 1001, 1442, 1464, 1023, 1022, 1463 915, 1444, 1003, 1002, 1443, 1465, 1024, 1023, 1464 916, 1445, 1004, 1003, 1444, 1466, 1025, 1024, 1465 917, 1446, 1005, 1004, 1445, 1467, 1026, 1025, 1466 918, 1447, 1006, 1005, 1446, 1468, 1027, 1026, 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1346, 1787, 1809, 1368, 1367, 1808 1223, 1789, 1348, 1347, 1788, 1810, 1369, 1368, 1809 1224, 1790, 1349, 1348, 1789, 1811, 1370, 1369, 1810 1225, 1791, 1350, 1349, 1790, 1812, 1371, 1370, 1811 1226, 1792, 1351, 1350, 1791, 1813, 1372, 1371, 1812 1227, 1793, 1352, 1351, 1792, 1814, 1373, 1372, 1813 1228, 1794, 1353, 1352, 1793, 1815, 1374, 1373, 1814 1229, 1795, 1354, 1353, 1794, 1816, 1375, 1374, 1815 1230, 1796, 1355, 1354, 1795, 1817, 1376, 1375, 1816 1231, 1797, 1356, 1355, 1796, 1818, 1377, 1376, 1817 1232, 1798, 1357, 1356, 1797, 1819, 1378, 1377, 1818 1233, 1799, 1358, 1357, 1798, 1820, 1379, 1378, 1819 1234, 1800, 1359, 1358, 1799, 1821, 1380, 1379, 1820 1235, 1801, 1360, 1359, 1800, 1822, 1381, 1380, 1821 1236, 1802, 1361, 1360, 1801, 1823, 1382, 1381, 1822 1237, 1803, 1362, 1361, 1802, 1824, 1383, 1382, 1823 1238, 1804, 1363, 1362, 1803, 1825, 1384, 1383, 1824 1239, 1805, 1364, 1363, 1804, 1826, 1385, 1384, 1825 1240, 1806, 1365, 1364, 1805, 1827, 1386, 1385, 1826 1241, 1808, 1367, 1366, 1807, 1829, 1388, 1387, 1828 1242, 1809, 1368, 1367, 1808, 1830, 1389, 1388, 1829 1243, 1810, 1369, 1368, 1809, 1831, 1390, 1389, 1830 1244, 1811, 1370, 1369, 1810, 1832, 1391, 1390, 1831 1245, 1812, 1371, 1370, 1811, 1833, 1392, 1391, 1832 1246, 1813, 1372, 1371, 1812, 1834, 1393, 1392, 1833 1247, 1814, 1373, 1372, 1813, 1835, 1394, 1393, 1834 1248, 1815, 1374, 1373, 1814, 1836, 1395, 1394, 1835 1249, 1816, 1375, 1374, 1815, 1837, 1396, 1395, 1836 1250, 1817, 1376, 1375, 1816, 1838, 1397, 1396, 1837 1251, 1818, 1377, 1376, 1817, 1839, 1398, 1397, 1838 1252, 1819, 1378, 1377, 1818, 1840, 1399, 1398, 1839 1253, 1820, 1379, 1378, 1819, 1841, 1400, 1399, 1840 1254, 1821, 1380, 1379, 1820, 1842, 1401, 1400, 1841 1255, 1822, 1381, 1380, 1821, 1843, 1402, 1401, 1842 1256, 1823, 1382, 1381, 1822, 1844, 1403, 1402, 1843 1257, 1824, 1383, 1382, 1823, 1845, 1404, 1403, 1844 1258, 1825, 1384, 1383, 1824, 1846, 1405, 1404, 1845 1259, 1826, 1385, 1384, 1825, 1847, 1406, 1405, 1846 1260, 1827, 1386, 1385, 1826, 1848, 1407, 1406, 1847 1261, 1829, 1388, 1387, 1828, 1850, 1409, 1408, 1849 1262, 1830, 1389, 1388, 1829, 1851, 1410, 1409, 1850 1263, 1831, 1390, 1389, 1830, 1852, 1411, 1410, 1851 1264, 1832, 1391, 1390, 1831, 1853, 1412, 1411, 1852 1265, 1833, 1392, 1391, 1832, 1854, 1413, 1412, 1853 1266, 1834, 1393, 1392, 1833, 1855, 1414, 1413, 1854 1267, 1835, 1394, 1393, 1834, 1856, 1415, 1414, 1855 1268, 1836, 1395, 1394, 1835, 1857, 1416, 1415, 1856 1269, 1837, 1396, 1395, 1836, 1858, 1417, 1416, 1857 1270, 1838, 1397, 1396, 1837, 1859, 1418, 1417, 1858 1271, 1839, 1398, 1397, 1838, 1860, 1419, 1418, 1859 1272, 1840, 1399, 1398, 1839, 1861, 1420, 1419, 1860 1273, 1841, 1400, 1399, 1840, 1862, 1421, 1420, 1861 1274, 1842, 1401, 1400, 1841, 1863, 1422, 1421, 1862 1275, 1843, 1402, 1401, 1842, 1864, 1423, 1422, 1863 1276, 1844, 1403, 1402, 1843, 1865, 1424, 1423, 1864 1277, 1845, 1404, 1403, 1844, 1866, 1425, 1424, 1865 1278, 1846, 1405, 1404, 1845, 1867, 1426, 1425, 1866 1279, 1847, 1406, 1405, 1846, 1868, 1427, 1426, 1867 1280, 1848, 1407, 1406, 1847, 1869, 1428, 1427, 1868 1281, 1850, 1409, 1408, 1849, 1871, 1430, 1429, 1870 1282, 1851, 1410, 1409, 1850, 1872, 1431, 1430, 1871 1283, 1852, 1411, 1410, 1851, 1873, 1432, 1431, 1872 1284, 1853, 1412, 1411, 1852, 1874, 1433, 1432, 1873 1285, 1854, 1413, 1412, 1853, 1875, 1434, 1433, 1874 1286, 1855, 1414, 1413, 1854, 1876, 1435, 1434, 1875 1287, 1856, 1415, 1414, 1855, 1877, 1436, 1435, 1876 1288, 1857, 1416, 1415, 1856, 1878, 1437, 1436, 1877 1289, 1858, 1417, 1416, 1857, 1879, 1438, 1437, 1878 1290, 1859, 1418, 1417, 1858, 1880, 1439, 1438, 1879 1291, 1860, 1419, 1418, 1859, 1881, 1440, 1439, 1880 1292, 1861, 1420, 1419, 1860, 1882, 1441, 1440, 1881 1293, 1862, 1421, 1420, 1861, 1883, 1442, 1441, 1882 1294, 1863, 1422, 1421, 1862, 1884, 1443, 1442, 1883 1295, 1864, 1423, 1422, 1863, 1885, 1444, 1443, 1884 1296, 1865, 1424, 1423, 1864, 1886, 1445, 1444, 1885 1297, 1866, 1425, 1424, 1865, 1887, 1446, 1445, 1886 1298, 1867, 1426, 1425, 1866, 1888, 1447, 1446, 1887 1299, 1868, 1427, 1426, 1867, 1889, 1448, 1447, 1888 1300, 1869, 1428, 1427, 1868, 1890, 1449, 1448, 1889 1301, 1871, 1430, 1429, 1870, 1892, 1451, 1450, 1891 1302, 1872, 1431, 1430, 1871, 1893, 1452, 1451, 1892 1303, 1873, 1432, 1431, 1872, 1894, 1453, 1452, 1893 1304, 1874, 1433, 1432, 1873, 1895, 1454, 1453, 1894 1305, 1875, 1434, 1433, 1874, 1896, 1455, 1454, 1895 1306, 1876, 1435, 1434, 1875, 1897, 1456, 1455, 1896 1307, 1877, 1436, 1435, 1876, 1898, 1457, 1456, 1897 1308, 1878, 1437, 1436, 1877, 1899, 1458, 1457, 1898 1309, 1879, 1438, 1437, 1878, 1900, 1459, 1458, 1899 1310, 1880, 1439, 1438, 1879, 1901, 1460, 1459, 1900 1311, 1881, 1440, 1439, 1880, 1902, 1461, 1460, 1901 1312, 1882, 1441, 1440, 1881, 1903, 1462, 1461, 1902 1313, 1883, 1442, 1441, 1882, 1904, 1463, 1462, 1903 1314, 1884, 1443, 1442, 1883, 1905, 1464, 1463, 1904 1315, 1885, 1444, 1443, 1884, 1906, 1465, 1464, 1905 1316, 1886, 1445, 1444, 1885, 1907, 1466, 1465, 1906 1317, 1887, 1446, 1445, 1886, 1908, 1467, 1466, 1907 1318, 1888, 1447, 1446, 1887, 1909, 1468, 1467, 1908 1319, 1889, 1448, 1447, 1888, 1910, 1469, 1468, 1909 1320, 1890, 1449, 1448, 1889, 1911, 1470, 1469, 1910 1321, 1892, 1451, 1450, 1891, 1913, 1472, 1471, 1912 1322, 1893, 1452, 1451, 1892, 1914, 1473, 1472, 1913 1323, 1894, 1453, 1452, 1893, 1915, 1474, 1473, 1914 1324, 1895, 1454, 1453, 1894, 1916, 1475, 1474, 1915 1325, 1896, 1455, 1454, 1895, 1917, 1476, 1475, 1916 1326, 1897, 1456, 1455, 1896, 1918, 1477, 1476, 1917 1327, 1898, 1457, 1456, 1897, 1919, 1478, 1477, 1918 1328, 1899, 1458, 1457, 1898, 1920, 1479, 1478, 1919 1329, 1900, 1459, 1458, 1899, 1921, 1480, 1479, 1920 1330, 1901, 1460, 1459, 1900, 1922, 1481, 1480, 1921 1331, 1902, 1461, 1460, 1901, 1923, 1482, 1481, 1922 1332, 1903, 1462, 1461, 1902, 1924, 1483, 1482, 1923 1333, 1904, 1463, 1462, 1903, 1925, 1484, 1483, 1924 1334, 1905, 1464, 1463, 1904, 1926, 1485, 1484, 1925 1335, 1906, 1465, 1464, 1905, 1927, 1486, 1485, 1926 1336, 1907, 1466, 1465, 1906, 1928, 1487, 1486, 1927 1337, 1908, 1467, 1466, 1907, 1929, 1488, 1487, 1928 1338, 1909, 1468, 1467, 1908, 1930, 1489, 1488, 1929 1339, 1910, 1469, 1468, 1909, 1931, 1490, 1489, 1930 1340, 1911, 1470, 1469, 1910, 1932, 1491, 1490, 1931 1341, 1913, 1472, 1471, 1912, 1934, 1493, 1492, 1933 1342, 1914, 1473, 1472, 1913, 1935, 1494, 1493, 1934 1343, 1915, 1474, 1473, 1914, 1936, 1495, 1494, 1935 1344, 1916, 1475, 1474, 1915, 1937, 1496, 1495, 1936 1345, 1917, 1476, 1475, 1916, 1938, 1497, 1496, 1937 1346, 1918, 1477, 1476, 1917, 1939, 1498, 1497, 1938 1347, 1919, 1478, 1477, 1918, 1940, 1499, 1498, 1939 1348, 1920, 1479, 1478, 1919, 1941, 1500, 1499, 1940 1349, 1921, 1480, 1479, 1920, 1942, 1501, 1500, 1941 1350, 1922, 1481, 1480, 1921, 1943, 1502, 1501, 1942 1351, 1923, 1482, 1481, 1922, 1944, 1503, 1502, 1943 1352, 1924, 1483, 1482, 1923, 1945, 1504, 1503, 1944 1353, 1925, 1484, 1483, 1924, 1946, 1505, 1504, 1945 1354, 1926, 1485, 1484, 1925, 1947, 1506, 1505, 1946 1355, 1927, 1486, 1485, 1926, 1948, 1507, 1506, 1947 1356, 1928, 1487, 1486, 1927, 1949, 1508, 1507, 1948 1357, 1929, 1488, 1487, 1928, 1950, 1509, 1508, 1949 1358, 1930, 1489, 1488, 1929, 1951, 1510, 1509, 1950 1359, 1931, 1490, 1489, 1930, 1952, 1511, 1510, 1951 1360, 1932, 1491, 1490, 1931, 1953, 1512, 1511, 1952 1361, 1934, 1493, 1492, 1933, 1955, 1514, 1513, 1954 1362, 1935, 1494, 1493, 1934, 1956, 1515, 1514, 1955 1363, 1936, 1495, 1494, 1935, 1957, 1516, 1515, 1956 1364, 1937, 1496, 1495, 1936, 1958, 1517, 1516, 1957 1365, 1938, 1497, 1496, 1937, 1959, 1518, 1517, 1958 1366, 1939, 1498, 1497, 1938, 1960, 1519, 1518, 1959 1367, 1940, 1499, 1498, 1939, 1961, 1520, 1519, 1960 1368, 1941, 1500, 1499, 1940, 1962, 1521, 1520, 1961 1369, 1942, 1501, 1500, 1941, 1963, 1522, 1521, 1962 1370, 1943, 1502, 1501, 1942, 1964, 1523, 1522, 1963 1371, 1944, 1503, 1502, 1943, 1965, 1524, 1523, 1964 1372, 1945, 1504, 1503, 1944, 1966, 1525, 1524, 1965 1373, 1946, 1505, 1504, 1945, 1967, 1526, 1525, 1966 1374, 1947, 1506, 1505, 1946, 1968, 1527, 1526, 1967 1375, 1948, 1507, 1506, 1947, 1969, 1528, 1527, 1968 1376, 1949, 1508, 1507, 1948, 1970, 1529, 1528, 1969 1377, 1950, 1509, 1508, 1949, 1971, 1530, 1529, 1970 1378, 1951, 1510, 1509, 1950, 1972, 1531, 1530, 1971 1379, 1952, 1511, 1510, 1951, 1973, 1532, 1531, 1972 1380, 1953, 1512, 1511, 1952, 1974, 1533, 1532, 1973 1381, 1955, 1514, 1513, 1954, 1976, 1535, 1534, 1975 1382, 1956, 1515, 1514, 1955, 1977, 1536, 1535, 1976 1383, 1957, 1516, 1515, 1956, 1978, 1537, 1536, 1977 1384, 1958, 1517, 1516, 1957, 1979, 1538, 1537, 1978 1385, 1959, 1518, 1517, 1958, 1980, 1539, 1538, 1979 1386, 1960, 1519, 1518, 1959, 1981, 1540, 1539, 1980 1387, 1961, 1520, 1519, 1960, 1982, 1541, 1540, 1981 1388, 1962, 1521, 1520, 1961, 1983, 1542, 1541, 1982 1389, 1963, 1522, 1521, 1962, 1984, 1543, 1542, 1983 1390, 1964, 1523, 1522, 1963, 1985, 1544, 1543, 1984 1391, 1965, 1524, 1523, 1964, 1986, 1545, 1544, 1985 1392, 1966, 1525, 1524, 1965, 1987, 1546, 1545, 1986 1393, 1967, 1526, 1525, 1966, 1988, 1547, 1546, 1987 1394, 1968, 1527, 1526, 1967, 1989, 1548, 1547, 1988 1395, 1969, 1528, 1527, 1968, 1990, 1549, 1548, 1989 1396, 1970, 1529, 1528, 1969, 1991, 1550, 1549, 1990 1397, 1971, 1530, 1529, 1970, 1992, 1551, 1550, 1991 1398, 1972, 1531, 1530, 1971, 1993, 1552, 1551, 1992 1399, 1973, 1532, 1531, 1972, 1994, 1553, 1552, 1993 1400, 1974, 1533, 1532, 1973, 1995, 1554, 1553, 1994 1401, 1976, 1535, 1534, 1975, 1997, 1556, 1555, 1996 1402, 1977, 1536, 1535, 1976, 1998, 1557, 1556, 1997 1403, 1978, 1537, 1536, 1977, 1999, 1558, 1557, 1998 1404, 1979, 1538, 1537, 1978, 2000, 1559, 1558, 1999 1405, 1980, 1539, 1538, 1979, 2001, 1560, 1559, 2000 1406, 1981, 1540, 1539, 1980, 2002, 1561, 1560, 2001 1407, 1982, 1541, 1540, 1981, 2003, 1562, 1561, 2002 1408, 1983, 1542, 1541, 1982, 2004, 1563, 1562, 2003 1409, 1984, 1543, 1542, 1983, 2005, 1564, 1563, 2004 1410, 1985, 1544, 1543, 1984, 2006, 1565, 1564, 2005 1411, 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1942, 2383 1751, 2364, 1923, 1922, 2363, 2385, 1944, 1943, 2384 1752, 2365, 1924, 1923, 2364, 2386, 1945, 1944, 2385 1753, 2366, 1925, 1924, 2365, 2387, 1946, 1945, 2386 1754, 2367, 1926, 1925, 2366, 2388, 1947, 1946, 2387 1755, 2368, 1927, 1926, 2367, 2389, 1948, 1947, 2388 1756, 2369, 1928, 1927, 2368, 2390, 1949, 1948, 2389 1757, 2370, 1929, 1928, 2369, 2391, 1950, 1949, 2390 1758, 2371, 1930, 1929, 2370, 2392, 1951, 1950, 2391 1759, 2372, 1931, 1930, 2371, 2393, 1952, 1951, 2392 1760, 2373, 1932, 1931, 2372, 2394, 1953, 1952, 2393 1761, 2375, 1934, 1933, 2374, 2396, 1955, 1954, 2395 1762, 2376, 1935, 1934, 2375, 2397, 1956, 1955, 2396 1763, 2377, 1936, 1935, 2376, 2398, 1957, 1956, 2397 1764, 2378, 1937, 1936, 2377, 2399, 1958, 1957, 2398 1765, 2379, 1938, 1937, 2378, 2400, 1959, 1958, 2399 1766, 2380, 1939, 1938, 2379, 2401, 1960, 1959, 2400 1767, 2381, 1940, 1939, 2380, 2402, 1961, 1960, 2401 1768, 2382, 1941, 1940, 2381, 2403, 1962, 1961, 2402 1769, 2383, 1942, 1941, 2382, 2404, 1963, 1962, 2403 1770, 2384, 1943, 1942, 2383, 2405, 1964, 1963, 2404 1771, 2385, 1944, 1943, 2384, 2406, 1965, 1964, 2405 1772, 2386, 1945, 1944, 2385, 2407, 1966, 1965, 2406 1773, 2387, 1946, 1945, 2386, 2408, 1967, 1966, 2407 1774, 2388, 1947, 1946, 2387, 2409, 1968, 1967, 2408 1775, 2389, 1948, 1947, 2388, 2410, 1969, 1968, 2409 1776, 2390, 1949, 1948, 2389, 2411, 1970, 1969, 2410 1777, 2391, 1950, 1949, 2390, 2412, 1971, 1970, 2411 1778, 2392, 1951, 1950, 2391, 2413, 1972, 1971, 2412 1779, 2393, 1952, 1951, 2392, 2414, 1973, 1972, 2413 1780, 2394, 1953, 1952, 2393, 2415, 1974, 1973, 2414 1781, 2396, 1955, 1954, 2395, 2417, 1976, 1975, 2416 1782, 2397, 1956, 1955, 2396, 2418, 1977, 1976, 2417 1783, 2398, 1957, 1956, 2397, 2419, 1978, 1977, 2418 1784, 2399, 1958, 1957, 2398, 2420, 1979, 1978, 2419 1785, 2400, 1959, 1958, 2399, 2421, 1980, 1979, 2420 1786, 2401, 1960, 1959, 2400, 2422, 1981, 1980, 2421 1787, 2402, 1961, 1960, 2401, 2423, 1982, 1981, 2422 1788, 2403, 1962, 1961, 2402, 2424, 1983, 1982, 2423 1789, 2404, 1963, 1962, 2403, 2425, 1984, 1983, 2424 1790, 2405, 1964, 1963, 2404, 2426, 1985, 1984, 2425 1791, 2406, 1965, 1964, 2405, 2427, 1986, 1985, 2426 1792, 2407, 1966, 1965, 2406, 2428, 1987, 1986, 2427 1793, 2408, 1967, 1966, 2407, 2429, 1988, 1987, 2428 1794, 2409, 1968, 1967, 2408, 2430, 1989, 1988, 2429 1795, 2410, 1969, 1968, 2409, 2431, 1990, 1989, 2430 1796, 2411, 1970, 1969, 2410, 2432, 1991, 1990, 2431 1797, 2412, 1971, 1970, 2411, 2433, 1992, 1991, 2432 1798, 2413, 1972, 1971, 2412, 2434, 1993, 1992, 2433 1799, 2414, 1973, 1972, 2413, 2435, 1994, 1993, 2434 1800, 2415, 1974, 1973, 2414, 2436, 1995, 1994, 2435 1801, 2417, 1976, 1975, 2416, 2438, 1997, 1996, 2437 1802, 2418, 1977, 1976, 2417, 2439, 1998, 1997, 2438 1803, 2419, 1978, 1977, 2418, 2440, 1999, 1998, 2439 1804, 2420, 1979, 1978, 2419, 2441, 2000, 1999, 2440 1805, 2421, 1980, 1979, 2420, 2442, 2001, 2000, 2441 1806, 2422, 1981, 1980, 2421, 2443, 2002, 2001, 2442 1807, 2423, 1982, 1981, 2422, 2444, 2003, 2002, 2443 1808, 2424, 1983, 1982, 2423, 2445, 2004, 2003, 2444 1809, 2425, 1984, 1983, 2424, 2446, 2005, 2004, 2445 1810, 2426, 1985, 1984, 2425, 2447, 2006, 2005, 2446 1811, 2427, 1986, 1985, 2426, 2448, 2007, 2006, 2447 1812, 2428, 1987, 1986, 2427, 2449, 2008, 2007, 2448 1813, 2429, 1988, 1987, 2428, 2450, 2009, 2008, 2449 1814, 2430, 1989, 1988, 2429, 2451, 2010, 2009, 2450 1815, 2431, 1990, 1989, 2430, 2452, 2011, 2010, 2451 1816, 2432, 1991, 1990, 2431, 2453, 2012, 2011, 2452 1817, 2433, 1992, 1991, 2432, 2454, 2013, 2012, 2453 1818, 2434, 1993, 1992, 2433, 2455, 2014, 2013, 2454 1819, 2435, 1994, 1993, 2434, 2456, 2015, 2014, 2455 1820, 2436, 1995, 1994, 2435, 2457, 2016, 2015, 2456 1821, 2438, 1997, 1996, 2437, 2459, 2018, 2017, 2458 1822, 2439, 1998, 1997, 2438, 2460, 2019, 2018, 2459 1823, 2440, 1999, 1998, 2439, 2461, 2020, 2019, 2460 1824, 2441, 2000, 1999, 2440, 2462, 2021, 2020, 2461 1825, 2442, 2001, 2000, 2441, 2463, 2022, 2021, 2462 1826, 2443, 2002, 2001, 2442, 2464, 2023, 2022, 2463 1827, 2444, 2003, 2002, 2443, 2465, 2024, 2023, 2464 1828, 2445, 2004, 2003, 2444, 2466, 2025, 2024, 2465 1829, 2446, 2005, 2004, 2445, 2467, 2026, 2025, 2466 1830, 2447, 2006, 2005, 2446, 2468, 2027, 2026, 2467 1831, 2448, 2007, 2006, 2447, 2469, 2028, 2027, 2468 1832, 2449, 2008, 2007, 2448, 2470, 2029, 2028, 2469 1833, 2450, 2009, 2008, 2449, 2471, 2030, 2029, 2470 1834, 2451, 2010, 2009, 2450, 2472, 2031, 2030, 2471 1835, 2452, 2011, 2010, 2451, 2473, 2032, 2031, 2472 1836, 2453, 2012, 2011, 2452, 2474, 2033, 2032, 2473 1837, 2454, 2013, 2012, 2453, 2475, 2034, 2033, 2474 1838, 2455, 2014, 2013, 2454, 2476, 2035, 2034, 2475 1839, 2456, 2015, 2014, 2455, 2477, 2036, 2035, 2476 1840, 2457, 2016, 2015, 2456, 2478, 2037, 2036, 2477 1841, 2459, 2018, 2017, 2458, 2480, 2039, 2038, 2479 1842, 2460, 2019, 2018, 2459, 2481, 2040, 2039, 2480 1843, 2461, 2020, 2019, 2460, 2482, 2041, 2040, 2481 1844, 2462, 2021, 2020, 2461, 2483, 2042, 2041, 2482 1845, 2463, 2022, 2021, 2462, 2484, 2043, 2042, 2483 1846, 2464, 2023, 2022, 2463, 2485, 2044, 2043, 2484 1847, 2465, 2024, 2023, 2464, 2486, 2045, 2044, 2485 1848, 2466, 2025, 2024, 2465, 2487, 2046, 2045, 2486 1849, 2467, 2026, 2025, 2466, 2488, 2047, 2046, 2487 1850, 2468, 2027, 2026, 2467, 2489, 2048, 2047, 2488 1851, 2469, 2028, 2027, 2468, 2490, 2049, 2048, 2489 1852, 2470, 2029, 2028, 2469, 2491, 2050, 2049, 2490 1853, 2471, 2030, 2029, 2470, 2492, 2051, 2050, 2491 1854, 2472, 2031, 2030, 2471, 2493, 2052, 2051, 2492 1855, 2473, 2032, 2031, 2472, 2494, 2053, 2052, 2493 1856, 2474, 2033, 2032, 2473, 2495, 2054, 2053, 2494 1857, 2475, 2034, 2033, 2474, 2496, 2055, 2054, 2495 1858, 2476, 2035, 2034, 2475, 2497, 2056, 2055, 2496 1859, 2477, 2036, 2035, 2476, 2498, 2057, 2056, 2497 1860, 2478, 2037, 2036, 2477, 2499, 2058, 2057, 2498 1861, 2480, 2039, 2038, 2479, 2501, 2060, 2059, 2500 1862, 2481, 2040, 2039, 2480, 2502, 2061, 2060, 2501 1863, 2482, 2041, 2040, 2481, 2503, 2062, 2061, 2502 1864, 2483, 2042, 2041, 2482, 2504, 2063, 2062, 2503 1865, 2484, 2043, 2042, 2483, 2505, 2064, 2063, 2504 1866, 2485, 2044, 2043, 2484, 2506, 2065, 2064, 2505 1867, 2486, 2045, 2044, 2485, 2507, 2066, 2065, 2506 1868, 2487, 2046, 2045, 2486, 2508, 2067, 2066, 2507 1869, 2488, 2047, 2046, 2487, 2509, 2068, 2067, 2508 1870, 2489, 2048, 2047, 2488, 2510, 2069, 2068, 2509 1871, 2490, 2049, 2048, 2489, 2511, 2070, 2069, 2510 1872, 2491, 2050, 2049, 2490, 2512, 2071, 2070, 2511 1873, 2492, 2051, 2050, 2491, 2513, 2072, 2071, 2512 1874, 2493, 2052, 2051, 2492, 2514, 2073, 2072, 2513 1875, 2494, 2053, 2052, 2493, 2515, 2074, 2073, 2514 1876, 2495, 2054, 2053, 2494, 2516, 2075, 2074, 2515 1877, 2496, 2055, 2054, 2495, 2517, 2076, 2075, 2516 1878, 2497, 2056, 2055, 2496, 2518, 2077, 2076, 2517 1879, 2498, 2057, 2056, 2497, 2519, 2078, 2077, 2518 1880, 2499, 2058, 2057, 2498, 2520, 2079, 2078, 2519 1881, 2501, 2060, 2059, 2500, 2522, 2081, 2080, 2521 1882, 2502, 2061, 2060, 2501, 2523, 2082, 2081, 2522 1883, 2503, 2062, 2061, 2502, 2524, 2083, 2082, 2523 1884, 2504, 2063, 2062, 2503, 2525, 2084, 2083, 2524 1885, 2505, 2064, 2063, 2504, 2526, 2085, 2084, 2525 1886, 2506, 2065, 2064, 2505, 2527, 2086, 2085, 2526 1887, 2507, 2066, 2065, 2506, 2528, 2087, 2086, 2527 1888, 2508, 2067, 2066, 2507, 2529, 2088, 2087, 2528 1889, 2509, 2068, 2067, 2508, 2530, 2089, 2088, 2529 1890, 2510, 2069, 2068, 2509, 2531, 2090, 2089, 2530 1891, 2511, 2070, 2069, 2510, 2532, 2091, 2090, 2531 1892, 2512, 2071, 2070, 2511, 2533, 2092, 2091, 2532 1893, 2513, 2072, 2071, 2512, 2534, 2093, 2092, 2533 1894, 2514, 2073, 2072, 2513, 2535, 2094, 2093, 2534 1895, 2515, 2074, 2073, 2514, 2536, 2095, 2094, 2535 1896, 2516, 2075, 2074, 2515, 2537, 2096, 2095, 2536 1897, 2517, 2076, 2075, 2516, 2538, 2097, 2096, 2537 1898, 2518, 2077, 2076, 2517, 2539, 2098, 2097, 2538 1899, 2519, 2078, 2077, 2518, 2540, 2099, 2098, 2539 1900, 2520, 2079, 2078, 2519, 2541, 2100, 2099, 2540 1901, 2522, 2081, 2080, 2521, 2543, 2102, 2101, 2542 1902, 2523, 2082, 2081, 2522, 2544, 2103, 2102, 2543 1903, 2524, 2083, 2082, 2523, 2545, 2104, 2103, 2544 1904, 2525, 2084, 2083, 2524, 2546, 2105, 2104, 2545 1905, 2526, 2085, 2084, 2525, 2547, 2106, 2105, 2546 1906, 2527, 2086, 2085, 2526, 2548, 2107, 2106, 2547 1907, 2528, 2087, 2086, 2527, 2549, 2108, 2107, 2548 1908, 2529, 2088, 2087, 2528, 2550, 2109, 2108, 2549 1909, 2530, 2089, 2088, 2529, 2551, 2110, 2109, 2550 1910, 2531, 2090, 2089, 2530, 2552, 2111, 2110, 2551 1911, 2532, 2091, 2090, 2531, 2553, 2112, 2111, 2552 1912, 2533, 2092, 2091, 2532, 2554, 2113, 2112, 2553 1913, 2534, 2093, 2092, 2533, 2555, 2114, 2113, 2554 1914, 2535, 2094, 2093, 2534, 2556, 2115, 2114, 2555 1915, 2536, 2095, 2094, 2535, 2557, 2116, 2115, 2556 1916, 2537, 2096, 2095, 2536, 2558, 2117, 2116, 2557 1917, 2538, 2097, 2096, 2537, 2559, 2118, 2117, 2558 1918, 2539, 2098, 2097, 2538, 2560, 2119, 2118, 2559 1919, 2540, 2099, 2098, 2539, 2561, 2120, 2119, 2560 1920, 2541, 2100, 2099, 2540, 2562, 2121, 2120, 2561 1921, 2543, 2102, 2101, 2542, 2564, 2123, 2122, 2563 1922, 2544, 2103, 2102, 2543, 2565, 2124, 2123, 2564 1923, 2545, 2104, 2103, 2544, 2566, 2125, 2124, 2565 1924, 2546, 2105, 2104, 2545, 2567, 2126, 2125, 2566 1925, 2547, 2106, 2105, 2546, 2568, 2127, 2126, 2567 1926, 2548, 2107, 2106, 2547, 2569, 2128, 2127, 2568 1927, 2549, 2108, 2107, 2548, 2570, 2129, 2128, 2569 1928, 2550, 2109, 2108, 2549, 2571, 2130, 2129, 2570 1929, 2551, 2110, 2109, 2550, 2572, 2131, 2130, 2571 1930, 2552, 2111, 2110, 2551, 2573, 2132, 2131, 2572 1931, 2553, 2112, 2111, 2552, 2574, 2133, 2132, 2573 1932, 2554, 2113, 2112, 2553, 2575, 2134, 2133, 2574 1933, 2555, 2114, 2113, 2554, 2576, 2135, 2134, 2575 1934, 2556, 2115, 2114, 2555, 2577, 2136, 2135, 2576 1935, 2557, 2116, 2115, 2556, 2578, 2137, 2136, 2577 1936, 2558, 2117, 2116, 2557, 2579, 2138, 2137, 2578 1937, 2559, 2118, 2117, 2558, 2580, 2139, 2138, 2579 1938, 2560, 2119, 2118, 2559, 2581, 2140, 2139, 2580 1939, 2561, 2120, 2119, 2560, 2582, 2141, 2140, 2581 1940, 2562, 2121, 2120, 2561, 2583, 2142, 2141, 2582 1941, 2564, 2123, 2122, 2563, 2585, 2144, 2143, 2584 1942, 2565, 2124, 2123, 2564, 2586, 2145, 2144, 2585 1943, 2566, 2125, 2124, 2565, 2587, 2146, 2145, 2586 1944, 2567, 2126, 2125, 2566, 2588, 2147, 2146, 2587 1945, 2568, 2127, 2126, 2567, 2589, 2148, 2147, 2588 1946, 2569, 2128, 2127, 2568, 2590, 2149, 2148, 2589 1947, 2570, 2129, 2128, 2569, 2591, 2150, 2149, 2590 1948, 2571, 2130, 2129, 2570, 2592, 2151, 2150, 2591 1949, 2572, 2131, 2130, 2571, 2593, 2152, 2151, 2592 1950, 2573, 2132, 2131, 2572, 2594, 2153, 2152, 2593 1951, 2574, 2133, 2132, 2573, 2595, 2154, 2153, 2594 1952, 2575, 2134, 2133, 2574, 2596, 2155, 2154, 2595 1953, 2576, 2135, 2134, 2575, 2597, 2156, 2155, 2596 1954, 2577, 2136, 2135, 2576, 2598, 2157, 2156, 2597 1955, 2578, 2137, 2136, 2577, 2599, 2158, 2157, 2598 1956, 2579, 2138, 2137, 2578, 2600, 2159, 2158, 2599 1957, 2580, 2139, 2138, 2579, 2601, 2160, 2159, 2600 1958, 2581, 2140, 2139, 2580, 2602, 2161, 2160, 2601 1959, 2582, 2141, 2140, 2581, 2603, 2162, 2161, 2602 1960, 2583, 2142, 2141, 2582, 2604, 2163, 2162, 2603 1961, 2585, 2144, 2143, 2584, 2606, 2165, 2164, 2605 1962, 2586, 2145, 2144, 2585, 2607, 2166, 2165, 2606 1963, 2587, 2146, 2145, 2586, 2608, 2167, 2166, 2607 1964, 2588, 2147, 2146, 2587, 2609, 2168, 2167, 2608 1965, 2589, 2148, 2147, 2588, 2610, 2169, 2168, 2609 1966, 2590, 2149, 2148, 2589, 2611, 2170, 2169, 2610 1967, 2591, 2150, 2149, 2590, 2612, 2171, 2170, 2611 1968, 2592, 2151, 2150, 2591, 2613, 2172, 2171, 2612 1969, 2593, 2152, 2151, 2592, 2614, 2173, 2172, 2613 1970, 2594, 2153, 2152, 2593, 2615, 2174, 2173, 2614 1971, 2595, 2154, 2153, 2594, 2616, 2175, 2174, 2615 1972, 2596, 2155, 2154, 2595, 2617, 2176, 2175, 2616 1973, 2597, 2156, 2155, 2596, 2618, 2177, 2176, 2617 1974, 2598, 2157, 2156, 2597, 2619, 2178, 2177, 2618 1975, 2599, 2158, 2157, 2598, 2620, 2179, 2178, 2619 1976, 2600, 2159, 2158, 2599, 2621, 2180, 2179, 2620 1977, 2601, 2160, 2159, 2600, 2622, 2181, 2180, 2621 1978, 2602, 2161, 2160, 2601, 2623, 2182, 2181, 2622 1979, 2603, 2162, 2161, 2602, 2624, 2183, 2182, 2623 1980, 2604, 2163, 2162, 2603, 2625, 2184, 2183, 2624 1981, 2606, 2165, 2164, 2605, 2627, 2186, 2185, 2626 1982, 2607, 2166, 2165, 2606, 2628, 2187, 2186, 2627 1983, 2608, 2167, 2166, 2607, 2629, 2188, 2187, 2628 1984, 2609, 2168, 2167, 2608, 2630, 2189, 2188, 2629 1985, 2610, 2169, 2168, 2609, 2631, 2190, 2189, 2630 1986, 2611, 2170, 2169, 2610, 2632, 2191, 2190, 2631 1987, 2612, 2171, 2170, 2611, 2633, 2192, 2191, 2632 1988, 2613, 2172, 2171, 2612, 2634, 2193, 2192, 2633 1989, 2614, 2173, 2172, 2613, 2635, 2194, 2193, 2634 1990, 2615, 2174, 2173, 2614, 2636, 2195, 2194, 2635 1991, 2616, 2175, 2174, 2615, 2637, 2196, 2195, 2636 1992, 2617, 2176, 2175, 2616, 2638, 2197, 2196, 2637 1993, 2618, 2177, 2176, 2617, 2639, 2198, 2197, 2638 1994, 2619, 2178, 2177, 2618, 2640, 2199, 2198, 2639 1995, 2620, 2179, 2178, 2619, 2641, 2200, 2199, 2640 1996, 2621, 2180, 2179, 2620, 2642, 2201, 2200, 2641 1997, 2622, 2181, 2180, 2621, 2643, 2202, 2201, 2642 1998, 2623, 2182, 2181, 2622, 2644, 2203, 2202, 2643 1999, 2624, 2183, 2182, 2623, 2645, 2204, 2203, 2644 2000, 2625, 2184, 2183, 2624, 2646, 2205, 2204, 2645 2001, 2648, 2207, 2206, 2647, 2669, 2228, 2227, 2668 2002, 2649, 2208, 2207, 2648, 2670, 2229, 2228, 2669 2003, 2650, 2209, 2208, 2649, 2671, 2230, 2229, 2670 2004, 2651, 2210, 2209, 2650, 2672, 2231, 2230, 2671 2005, 2652, 2211, 2210, 2651, 2673, 2232, 2231, 2672 2006, 2653, 2212, 2211, 2652, 2674, 2233, 2232, 2673 2007, 2654, 2213, 2212, 2653, 2675, 2234, 2233, 2674 2008, 2655, 2214, 2213, 2654, 2676, 2235, 2234, 2675 2009, 2656, 2215, 2214, 2655, 2677, 2236, 2235, 2676 2010, 2657, 2216, 2215, 2656, 2678, 2237, 2236, 2677 2011, 2658, 2217, 2216, 2657, 2679, 2238, 2237, 2678 2012, 2659, 2218, 2217, 2658, 2680, 2239, 2238, 2679 2013, 2660, 2219, 2218, 2659, 2681, 2240, 2239, 2680 2014, 2661, 2220, 2219, 2660, 2682, 2241, 2240, 2681 2015, 2662, 2221, 2220, 2661, 2683, 2242, 2241, 2682 2016, 2663, 2222, 2221, 2662, 2684, 2243, 2242, 2683 2017, 2664, 2223, 2222, 2663, 2685, 2244, 2243, 2684 2018, 2665, 2224, 2223, 2664, 2686, 2245, 2244, 2685 2019, 2666, 2225, 2224, 2665, 2687, 2246, 2245, 2686 2020, 2667, 2226, 2225, 2666, 2688, 2247, 2246, 2687 2021, 2669, 2228, 2227, 2668, 2690, 2249, 2248, 2689 2022, 2670, 2229, 2228, 2669, 2691, 2250, 2249, 2690 2023, 2671, 2230, 2229, 2670, 2692, 2251, 2250, 2691 2024, 2672, 2231, 2230, 2671, 2693, 2252, 2251, 2692 2025, 2673, 2232, 2231, 2672, 2694, 2253, 2252, 2693 2026, 2674, 2233, 2232, 2673, 2695, 2254, 2253, 2694 2027, 2675, 2234, 2233, 2674, 2696, 2255, 2254, 2695 2028, 2676, 2235, 2234, 2675, 2697, 2256, 2255, 2696 2029, 2677, 2236, 2235, 2676, 2698, 2257, 2256, 2697 2030, 2678, 2237, 2236, 2677, 2699, 2258, 2257, 2698 2031, 2679, 2238, 2237, 2678, 2700, 2259, 2258, 2699 2032, 2680, 2239, 2238, 2679, 2701, 2260, 2259, 2700 2033, 2681, 2240, 2239, 2680, 2702, 2261, 2260, 2701 2034, 2682, 2241, 2240, 2681, 2703, 2262, 2261, 2702 2035, 2683, 2242, 2241, 2682, 2704, 2263, 2262, 2703 2036, 2684, 2243, 2242, 2683, 2705, 2264, 2263, 2704 2037, 2685, 2244, 2243, 2684, 2706, 2265, 2264, 2705 2038, 2686, 2245, 2244, 2685, 2707, 2266, 2265, 2706 2039, 2687, 2246, 2245, 2686, 2708, 2267, 2266, 2707 2040, 2688, 2247, 2246, 2687, 2709, 2268, 2267, 2708 2041, 2690, 2249, 2248, 2689, 2711, 2270, 2269, 2710 2042, 2691, 2250, 2249, 2690, 2712, 2271, 2270, 2711 2043, 2692, 2251, 2250, 2691, 2713, 2272, 2271, 2712 2044, 2693, 2252, 2251, 2692, 2714, 2273, 2272, 2713 2045, 2694, 2253, 2252, 2693, 2715, 2274, 2273, 2714 2046, 2695, 2254, 2253, 2694, 2716, 2275, 2274, 2715 2047, 2696, 2255, 2254, 2695, 2717, 2276, 2275, 2716 2048, 2697, 2256, 2255, 2696, 2718, 2277, 2276, 2717 2049, 2698, 2257, 2256, 2697, 2719, 2278, 2277, 2718 2050, 2699, 2258, 2257, 2698, 2720, 2279, 2278, 2719 2051, 2700, 2259, 2258, 2699, 2721, 2280, 2279, 2720 2052, 2701, 2260, 2259, 2700, 2722, 2281, 2280, 2721 2053, 2702, 2261, 2260, 2701, 2723, 2282, 2281, 2722 2054, 2703, 2262, 2261, 2702, 2724, 2283, 2282, 2723 2055, 2704, 2263, 2262, 2703, 2725, 2284, 2283, 2724 2056, 2705, 2264, 2263, 2704, 2726, 2285, 2284, 2725 2057, 2706, 2265, 2264, 2705, 2727, 2286, 2285, 2726 2058, 2707, 2266, 2265, 2706, 2728, 2287, 2286, 2727 2059, 2708, 2267, 2266, 2707, 2729, 2288, 2287, 2728 2060, 2709, 2268, 2267, 2708, 2730, 2289, 2288, 2729 2061, 2711, 2270, 2269, 2710, 2732, 2291, 2290, 2731 2062, 2712, 2271, 2270, 2711, 2733, 2292, 2291, 2732 2063, 2713, 2272, 2271, 2712, 2734, 2293, 2292, 2733 2064, 2714, 2273, 2272, 2713, 2735, 2294, 2293, 2734 2065, 2715, 2274, 2273, 2714, 2736, 2295, 2294, 2735 2066, 2716, 2275, 2274, 2715, 2737, 2296, 2295, 2736 2067, 2717, 2276, 2275, 2716, 2738, 2297, 2296, 2737 2068, 2718, 2277, 2276, 2717, 2739, 2298, 2297, 2738 2069, 2719, 2278, 2277, 2718, 2740, 2299, 2298, 2739 2070, 2720, 2279, 2278, 2719, 2741, 2300, 2299, 2740 2071, 2721, 2280, 2279, 2720, 2742, 2301, 2300, 2741 2072, 2722, 2281, 2280, 2721, 2743, 2302, 2301, 2742 2073, 2723, 2282, 2281, 2722, 2744, 2303, 2302, 2743 2074, 2724, 2283, 2282, 2723, 2745, 2304, 2303, 2744 2075, 2725, 2284, 2283, 2724, 2746, 2305, 2304, 2745 2076, 2726, 2285, 2284, 2725, 2747, 2306, 2305, 2746 2077, 2727, 2286, 2285, 2726, 2748, 2307, 2306, 2747 2078, 2728, 2287, 2286, 2727, 2749, 2308, 2307, 2748 2079, 2729, 2288, 2287, 2728, 2750, 2309, 2308, 2749 2080, 2730, 2289, 2288, 2729, 2751, 2310, 2309, 2750 2081, 2732, 2291, 2290, 2731, 2753, 2312, 2311, 2752 2082, 2733, 2292, 2291, 2732, 2754, 2313, 2312, 2753 2083, 2734, 2293, 2292, 2733, 2755, 2314, 2313, 2754 2084, 2735, 2294, 2293, 2734, 2756, 2315, 2314, 2755 2085, 2736, 2295, 2294, 2735, 2757, 2316, 2315, 2756 2086, 2737, 2296, 2295, 2736, 2758, 2317, 2316, 2757 2087, 2738, 2297, 2296, 2737, 2759, 2318, 2317, 2758 2088, 2739, 2298, 2297, 2738, 2760, 2319, 2318, 2759 2089, 2740, 2299, 2298, 2739, 2761, 2320, 2319, 2760 2090, 2741, 2300, 2299, 2740, 2762, 2321, 2320, 2761 2091, 2742, 2301, 2300, 2741, 2763, 2322, 2321, 2762 2092, 2743, 2302, 2301, 2742, 2764, 2323, 2322, 2763 2093, 2744, 2303, 2302, 2743, 2765, 2324, 2323, 2764 2094, 2745, 2304, 2303, 2744, 2766, 2325, 2324, 2765 2095, 2746, 2305, 2304, 2745, 2767, 2326, 2325, 2766 2096, 2747, 2306, 2305, 2746, 2768, 2327, 2326, 2767 2097, 2748, 2307, 2306, 2747, 2769, 2328, 2327, 2768 2098, 2749, 2308, 2307, 2748, 2770, 2329, 2328, 2769 2099, 2750, 2309, 2308, 2749, 2771, 2330, 2329, 2770 2100, 2751, 2310, 2309, 2750, 2772, 2331, 2330, 2771 2101, 2753, 2312, 2311, 2752, 2774, 2333, 2332, 2773 2102, 2754, 2313, 2312, 2753, 2775, 2334, 2333, 2774 2103, 2755, 2314, 2313, 2754, 2776, 2335, 2334, 2775 2104, 2756, 2315, 2314, 2755, 2777, 2336, 2335, 2776 2105, 2757, 2316, 2315, 2756, 2778, 2337, 2336, 2777 2106, 2758, 2317, 2316, 2757, 2779, 2338, 2337, 2778 2107, 2759, 2318, 2317, 2758, 2780, 2339, 2338, 2779 2108, 2760, 2319, 2318, 2759, 2781, 2340, 2339, 2780 2109, 2761, 2320, 2319, 2760, 2782, 2341, 2340, 2781 2110, 2762, 2321, 2320, 2761, 2783, 2342, 2341, 2782 2111, 2763, 2322, 2321, 2762, 2784, 2343, 2342, 2783 2112, 2764, 2323, 2322, 2763, 2785, 2344, 2343, 2784 2113, 2765, 2324, 2323, 2764, 2786, 2345, 2344, 2785 2114, 2766, 2325, 2324, 2765, 2787, 2346, 2345, 2786 2115, 2767, 2326, 2325, 2766, 2788, 2347, 2346, 2787 2116, 2768, 2327, 2326, 2767, 2789, 2348, 2347, 2788 2117, 2769, 2328, 2327, 2768, 2790, 2349, 2348, 2789 2118, 2770, 2329, 2328, 2769, 2791, 2350, 2349, 2790 2119, 2771, 2330, 2329, 2770, 2792, 2351, 2350, 2791 2120, 2772, 2331, 2330, 2771, 2793, 2352, 2351, 2792 2121, 2774, 2333, 2332, 2773, 2795, 2354, 2353, 2794 2122, 2775, 2334, 2333, 2774, 2796, 2355, 2354, 2795 2123, 2776, 2335, 2334, 2775, 2797, 2356, 2355, 2796 2124, 2777, 2336, 2335, 2776, 2798, 2357, 2356, 2797 2125, 2778, 2337, 2336, 2777, 2799, 2358, 2357, 2798 2126, 2779, 2338, 2337, 2778, 2800, 2359, 2358, 2799 2127, 2780, 2339, 2338, 2779, 2801, 2360, 2359, 2800 2128, 2781, 2340, 2339, 2780, 2802, 2361, 2360, 2801 2129, 2782, 2341, 2340, 2781, 2803, 2362, 2361, 2802 2130, 2783, 2342, 2341, 2782, 2804, 2363, 2362, 2803 2131, 2784, 2343, 2342, 2783, 2805, 2364, 2363, 2804 2132, 2785, 2344, 2343, 2784, 2806, 2365, 2364, 2805 2133, 2786, 2345, 2344, 2785, 2807, 2366, 2365, 2806 2134, 2787, 2346, 2345, 2786, 2808, 2367, 2366, 2807 2135, 2788, 2347, 2346, 2787, 2809, 2368, 2367, 2808 2136, 2789, 2348, 2347, 2788, 2810, 2369, 2368, 2809 2137, 2790, 2349, 2348, 2789, 2811, 2370, 2369, 2810 2138, 2791, 2350, 2349, 2790, 2812, 2371, 2370, 2811 2139, 2792, 2351, 2350, 2791, 2813, 2372, 2371, 2812 2140, 2793, 2352, 2351, 2792, 2814, 2373, 2372, 2813 2141, 2795, 2354, 2353, 2794, 2816, 2375, 2374, 2815 2142, 2796, 2355, 2354, 2795, 2817, 2376, 2375, 2816 2143, 2797, 2356, 2355, 2796, 2818, 2377, 2376, 2817 2144, 2798, 2357, 2356, 2797, 2819, 2378, 2377, 2818 2145, 2799, 2358, 2357, 2798, 2820, 2379, 2378, 2819 2146, 2800, 2359, 2358, 2799, 2821, 2380, 2379, 2820 2147, 2801, 2360, 2359, 2800, 2822, 2381, 2380, 2821 2148, 2802, 2361, 2360, 2801, 2823, 2382, 2381, 2822 2149, 2803, 2362, 2361, 2802, 2824, 2383, 2382, 2823 2150, 2804, 2363, 2362, 2803, 2825, 2384, 2383, 2824 2151, 2805, 2364, 2363, 2804, 2826, 2385, 2384, 2825 2152, 2806, 2365, 2364, 2805, 2827, 2386, 2385, 2826 2153, 2807, 2366, 2365, 2806, 2828, 2387, 2386, 2827 2154, 2808, 2367, 2366, 2807, 2829, 2388, 2387, 2828 2155, 2809, 2368, 2367, 2808, 2830, 2389, 2388, 2829 2156, 2810, 2369, 2368, 2809, 2831, 2390, 2389, 2830 2157, 2811, 2370, 2369, 2810, 2832, 2391, 2390, 2831 2158, 2812, 2371, 2370, 2811, 2833, 2392, 2391, 2832 2159, 2813, 2372, 2371, 2812, 2834, 2393, 2392, 2833 2160, 2814, 2373, 2372, 2813, 2835, 2394, 2393, 2834 2161, 2816, 2375, 2374, 2815, 2837, 2396, 2395, 2836 2162, 2817, 2376, 2375, 2816, 2838, 2397, 2396, 2837 2163, 2818, 2377, 2376, 2817, 2839, 2398, 2397, 2838 2164, 2819, 2378, 2377, 2818, 2840, 2399, 2398, 2839 2165, 2820, 2379, 2378, 2819, 2841, 2400, 2399, 2840 2166, 2821, 2380, 2379, 2820, 2842, 2401, 2400, 2841 2167, 2822, 2381, 2380, 2821, 2843, 2402, 2401, 2842 2168, 2823, 2382, 2381, 2822, 2844, 2403, 2402, 2843 2169, 2824, 2383, 2382, 2823, 2845, 2404, 2403, 2844 2170, 2825, 2384, 2383, 2824, 2846, 2405, 2404, 2845 2171, 2826, 2385, 2384, 2825, 2847, 2406, 2405, 2846 2172, 2827, 2386, 2385, 2826, 2848, 2407, 2406, 2847 2173, 2828, 2387, 2386, 2827, 2849, 2408, 2407, 2848 2174, 2829, 2388, 2387, 2828, 2850, 2409, 2408, 2849 2175, 2830, 2389, 2388, 2829, 2851, 2410, 2409, 2850 2176, 2831, 2390, 2389, 2830, 2852, 2411, 2410, 2851 2177, 2832, 2391, 2390, 2831, 2853, 2412, 2411, 2852 2178, 2833, 2392, 2391, 2832, 2854, 2413, 2412, 2853 2179, 2834, 2393, 2392, 2833, 2855, 2414, 2413, 2854 2180, 2835, 2394, 2393, 2834, 2856, 2415, 2414, 2855 2181, 2837, 2396, 2395, 2836, 2858, 2417, 2416, 2857 2182, 2838, 2397, 2396, 2837, 2859, 2418, 2417, 2858 2183, 2839, 2398, 2397, 2838, 2860, 2419, 2418, 2859 2184, 2840, 2399, 2398, 2839, 2861, 2420, 2419, 2860 2185, 2841, 2400, 2399, 2840, 2862, 2421, 2420, 2861 2186, 2842, 2401, 2400, 2841, 2863, 2422, 2421, 2862 2187, 2843, 2402, 2401, 2842, 2864, 2423, 2422, 2863 2188, 2844, 2403, 2402, 2843, 2865, 2424, 2423, 2864 2189, 2845, 2404, 2403, 2844, 2866, 2425, 2424, 2865 2190, 2846, 2405, 2404, 2845, 2867, 2426, 2425, 2866 2191, 2847, 2406, 2405, 2846, 2868, 2427, 2426, 2867 2192, 2848, 2407, 2406, 2847, 2869, 2428, 2427, 2868 2193, 2849, 2408, 2407, 2848, 2870, 2429, 2428, 2869 2194, 2850, 2409, 2408, 2849, 2871, 2430, 2429, 2870 2195, 2851, 2410, 2409, 2850, 2872, 2431, 2430, 2871 2196, 2852, 2411, 2410, 2851, 2873, 2432, 2431, 2872 2197, 2853, 2412, 2411, 2852, 2874, 2433, 2432, 2873 2198, 2854, 2413, 2412, 2853, 2875, 2434, 2433, 2874 2199, 2855, 2414, 2413, 2854, 2876, 2435, 2434, 2875 2200, 2856, 2415, 2414, 2855, 2877, 2436, 2435, 2876 2201, 2858, 2417, 2416, 2857, 2879, 2438, 2437, 2878 2202, 2859, 2418, 2417, 2858, 2880, 2439, 2438, 2879 2203, 2860, 2419, 2418, 2859, 2881, 2440, 2439, 2880 2204, 2861, 2420, 2419, 2860, 2882, 2441, 2440, 2881 2205, 2862, 2421, 2420, 2861, 2883, 2442, 2441, 2882 2206, 2863, 2422, 2421, 2862, 2884, 2443, 2442, 2883 2207, 2864, 2423, 2422, 2863, 2885, 2444, 2443, 2884 2208, 2865, 2424, 2423, 2864, 2886, 2445, 2444, 2885 2209, 2866, 2425, 2424, 2865, 2887, 2446, 2445, 2886 2210, 2867, 2426, 2425, 2866, 2888, 2447, 2446, 2887 2211, 2868, 2427, 2426, 2867, 2889, 2448, 2447, 2888 2212, 2869, 2428, 2427, 2868, 2890, 2449, 2448, 2889 2213, 2870, 2429, 2428, 2869, 2891, 2450, 2449, 2890 2214, 2871, 2430, 2429, 2870, 2892, 2451, 2450, 2891 2215, 2872, 2431, 2430, 2871, 2893, 2452, 2451, 2892 2216, 2873, 2432, 2431, 2872, 2894, 2453, 2452, 2893 2217, 2874, 2433, 2432, 2873, 2895, 2454, 2453, 2894 2218, 2875, 2434, 2433, 2874, 2896, 2455, 2454, 2895 2219, 2876, 2435, 2434, 2875, 2897, 2456, 2455, 2896 2220, 2877, 2436, 2435, 2876, 2898, 2457, 2456, 2897 2221, 2879, 2438, 2437, 2878, 2900, 2459, 2458, 2899 2222, 2880, 2439, 2438, 2879, 2901, 2460, 2459, 2900 2223, 2881, 2440, 2439, 2880, 2902, 2461, 2460, 2901 2224, 2882, 2441, 2440, 2881, 2903, 2462, 2461, 2902 2225, 2883, 2442, 2441, 2882, 2904, 2463, 2462, 2903 2226, 2884, 2443, 2442, 2883, 2905, 2464, 2463, 2904 2227, 2885, 2444, 2443, 2884, 2906, 2465, 2464, 2905 2228, 2886, 2445, 2444, 2885, 2907, 2466, 2465, 2906 2229, 2887, 2446, 2445, 2886, 2908, 2467, 2466, 2907 2230, 2888, 2447, 2446, 2887, 2909, 2468, 2467, 2908 2231, 2889, 2448, 2447, 2888, 2910, 2469, 2468, 2909 2232, 2890, 2449, 2448, 2889, 2911, 2470, 2469, 2910 2233, 2891, 2450, 2449, 2890, 2912, 2471, 2470, 2911 2234, 2892, 2451, 2450, 2891, 2913, 2472, 2471, 2912 2235, 2893, 2452, 2451, 2892, 2914, 2473, 2472, 2913 2236, 2894, 2453, 2452, 2893, 2915, 2474, 2473, 2914 2237, 2895, 2454, 2453, 2894, 2916, 2475, 2474, 2915 2238, 2896, 2455, 2454, 2895, 2917, 2476, 2475, 2916 2239, 2897, 2456, 2455, 2896, 2918, 2477, 2476, 2917 2240, 2898, 2457, 2456, 2897, 2919, 2478, 2477, 2918 2241, 2900, 2459, 2458, 2899, 2921, 2480, 2479, 2920 2242, 2901, 2460, 2459, 2900, 2922, 2481, 2480, 2921 2243, 2902, 2461, 2460, 2901, 2923, 2482, 2481, 2922 2244, 2903, 2462, 2461, 2902, 2924, 2483, 2482, 2923 2245, 2904, 2463, 2462, 2903, 2925, 2484, 2483, 2924 2246, 2905, 2464, 2463, 2904, 2926, 2485, 2484, 2925 2247, 2906, 2465, 2464, 2905, 2927, 2486, 2485, 2926 2248, 2907, 2466, 2465, 2906, 2928, 2487, 2486, 2927 2249, 2908, 2467, 2466, 2907, 2929, 2488, 2487, 2928 2250, 2909, 2468, 2467, 2908, 2930, 2489, 2488, 2929 2251, 2910, 2469, 2468, 2909, 2931, 2490, 2489, 2930 2252, 2911, 2470, 2469, 2910, 2932, 2491, 2490, 2931 2253, 2912, 2471, 2470, 2911, 2933, 2492, 2491, 2932 2254, 2913, 2472, 2471, 2912, 2934, 2493, 2492, 2933 2255, 2914, 2473, 2472, 2913, 2935, 2494, 2493, 2934 2256, 2915, 2474, 2473, 2914, 2936, 2495, 2494, 2935 2257, 2916, 2475, 2474, 2915, 2937, 2496, 2495, 2936 2258, 2917, 2476, 2475, 2916, 2938, 2497, 2496, 2937 2259, 2918, 2477, 2476, 2917, 2939, 2498, 2497, 2938 2260, 2919, 2478, 2477, 2918, 2940, 2499, 2498, 2939 2261, 2921, 2480, 2479, 2920, 2942, 2501, 2500, 2941 2262, 2922, 2481, 2480, 2921, 2943, 2502, 2501, 2942 2263, 2923, 2482, 2481, 2922, 2944, 2503, 2502, 2943 2264, 2924, 2483, 2482, 2923, 2945, 2504, 2503, 2944 2265, 2925, 2484, 2483, 2924, 2946, 2505, 2504, 2945 2266, 2926, 2485, 2484, 2925, 2947, 2506, 2505, 2946 2267, 2927, 2486, 2485, 2926, 2948, 2507, 2506, 2947 2268, 2928, 2487, 2486, 2927, 2949, 2508, 2507, 2948 2269, 2929, 2488, 2487, 2928, 2950, 2509, 2508, 2949 2270, 2930, 2489, 2488, 2929, 2951, 2510, 2509, 2950 2271, 2931, 2490, 2489, 2930, 2952, 2511, 2510, 2951 2272, 2932, 2491, 2490, 2931, 2953, 2512, 2511, 2952 2273, 2933, 2492, 2491, 2932, 2954, 2513, 2512, 2953 2274, 2934, 2493, 2492, 2933, 2955, 2514, 2513, 2954 2275, 2935, 2494, 2493, 2934, 2956, 2515, 2514, 2955 2276, 2936, 2495, 2494, 2935, 2957, 2516, 2515, 2956 2277, 2937, 2496, 2495, 2936, 2958, 2517, 2516, 2957 2278, 2938, 2497, 2496, 2937, 2959, 2518, 2517, 2958 2279, 2939, 2498, 2497, 2938, 2960, 2519, 2518, 2959 2280, 2940, 2499, 2498, 2939, 2961, 2520, 2519, 2960 2281, 2942, 2501, 2500, 2941, 2963, 2522, 2521, 2962 2282, 2943, 2502, 2501, 2942, 2964, 2523, 2522, 2963 2283, 2944, 2503, 2502, 2943, 2965, 2524, 2523, 2964 2284, 2945, 2504, 2503, 2944, 2966, 2525, 2524, 2965 2285, 2946, 2505, 2504, 2945, 2967, 2526, 2525, 2966 2286, 2947, 2506, 2505, 2946, 2968, 2527, 2526, 2967 2287, 2948, 2507, 2506, 2947, 2969, 2528, 2527, 2968 2288, 2949, 2508, 2507, 2948, 2970, 2529, 2528, 2969 2289, 2950, 2509, 2508, 2949, 2971, 2530, 2529, 2970 2290, 2951, 2510, 2509, 2950, 2972, 2531, 2530, 2971 2291, 2952, 2511, 2510, 2951, 2973, 2532, 2531, 2972 2292, 2953, 2512, 2511, 2952, 2974, 2533, 2532, 2973 2293, 2954, 2513, 2512, 2953, 2975, 2534, 2533, 2974 2294, 2955, 2514, 2513, 2954, 2976, 2535, 2534, 2975 2295, 2956, 2515, 2514, 2955, 2977, 2536, 2535, 2976 2296, 2957, 2516, 2515, 2956, 2978, 2537, 2536, 2977 2297, 2958, 2517, 2516, 2957, 2979, 2538, 2537, 2978 2298, 2959, 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9079, 9101, 8660, 8659, 9100 7848, 9081, 8640, 8639, 9080, 9102, 8661, 8660, 9101 7849, 9082, 8641, 8640, 9081, 9103, 8662, 8661, 9102 7850, 9083, 8642, 8641, 9082, 9104, 8663, 8662, 9103 7851, 9084, 8643, 8642, 9083, 9105, 8664, 8663, 9104 7852, 9085, 8644, 8643, 9084, 9106, 8665, 8664, 9105 7853, 9086, 8645, 8644, 9085, 9107, 8666, 8665, 9106 7854, 9087, 8646, 8645, 9086, 9108, 8667, 8666, 9107 7855, 9088, 8647, 8646, 9087, 9109, 8668, 8667, 9108 7856, 9089, 8648, 8647, 9088, 9110, 8669, 8668, 9109 7857, 9090, 8649, 8648, 9089, 9111, 8670, 8669, 9110 7858, 9091, 8650, 8649, 9090, 9112, 8671, 8670, 9111 7859, 9092, 8651, 8650, 9091, 9113, 8672, 8671, 9112 7860, 9093, 8652, 8651, 9092, 9114, 8673, 8672, 9113 7861, 9095, 8654, 8653, 9094, 9116, 8675, 8674, 9115 7862, 9096, 8655, 8654, 9095, 9117, 8676, 8675, 9116 7863, 9097, 8656, 8655, 9096, 9118, 8677, 8676, 9117 7864, 9098, 8657, 8656, 9097, 9119, 8678, 8677, 9118 7865, 9099, 8658, 8657, 9098, 9120, 8679, 8678, 9119 7866, 9100, 8659, 8658, 9099, 9121, 8680, 8679, 9120 7867, 9101, 8660, 8659, 9100, 9122, 8681, 8680, 9121 7868, 9102, 8661, 8660, 9101, 9123, 8682, 8681, 9122 7869, 9103, 8662, 8661, 9102, 9124, 8683, 8682, 9123 7870, 9104, 8663, 8662, 9103, 9125, 8684, 8683, 9124 7871, 9105, 8664, 8663, 9104, 9126, 8685, 8684, 9125 7872, 9106, 8665, 8664, 9105, 9127, 8686, 8685, 9126 7873, 9107, 8666, 8665, 9106, 9128, 8687, 8686, 9127 7874, 9108, 8667, 8666, 9107, 9129, 8688, 8687, 9128 7875, 9109, 8668, 8667, 9108, 9130, 8689, 8688, 9129 7876, 9110, 8669, 8668, 9109, 9131, 8690, 8689, 9130 7877, 9111, 8670, 8669, 9110, 9132, 8691, 8690, 9131 7878, 9112, 8671, 8670, 9111, 9133, 8692, 8691, 9132 7879, 9113, 8672, 8671, 9112, 9134, 8693, 8692, 9133 7880, 9114, 8673, 8672, 9113, 9135, 8694, 8693, 9134 7881, 9116, 8675, 8674, 9115, 9137, 8696, 8695, 9136 7882, 9117, 8676, 8675, 9116, 9138, 8697, 8696, 9137 7883, 9118, 8677, 8676, 9117, 9139, 8698, 8697, 9138 7884, 9119, 8678, 8677, 9118, 9140, 8699, 8698, 9139 7885, 9120, 8679, 8678, 9119, 9141, 8700, 8699, 9140 7886, 9121, 8680, 8679, 9120, 9142, 8701, 8700, 9141 7887, 9122, 8681, 8680, 9121, 9143, 8702, 8701, 9142 7888, 9123, 8682, 8681, 9122, 9144, 8703, 8702, 9143 7889, 9124, 8683, 8682, 9123, 9145, 8704, 8703, 9144 7890, 9125, 8684, 8683, 9124, 9146, 8705, 8704, 9145 7891, 9126, 8685, 8684, 9125, 9147, 8706, 8705, 9146 7892, 9127, 8686, 8685, 9126, 9148, 8707, 8706, 9147 7893, 9128, 8687, 8686, 9127, 9149, 8708, 8707, 9148 7894, 9129, 8688, 8687, 9128, 9150, 8709, 8708, 9149 7895, 9130, 8689, 8688, 9129, 9151, 8710, 8709, 9150 7896, 9131, 8690, 8689, 9130, 9152, 8711, 8710, 9151 7897, 9132, 8691, 8690, 9131, 9153, 8712, 8711, 9152 7898, 9133, 8692, 8691, 9132, 9154, 8713, 8712, 9153 7899, 9134, 8693, 8692, 9133, 9155, 8714, 8713, 9154 7900, 9135, 8694, 8693, 9134, 9156, 8715, 8714, 9155 7901, 9137, 8696, 8695, 9136, 9158, 8717, 8716, 9157 7902, 9138, 8697, 8696, 9137, 9159, 8718, 8717, 9158 7903, 9139, 8698, 8697, 9138, 9160, 8719, 8718, 9159 7904, 9140, 8699, 8698, 9139, 9161, 8720, 8719, 9160 7905, 9141, 8700, 8699, 9140, 9162, 8721, 8720, 9161 7906, 9142, 8701, 8700, 9141, 9163, 8722, 8721, 9162 7907, 9143, 8702, 8701, 9142, 9164, 8723, 8722, 9163 7908, 9144, 8703, 8702, 9143, 9165, 8724, 8723, 9164 7909, 9145, 8704, 8703, 9144, 9166, 8725, 8724, 9165 7910, 9146, 8705, 8704, 9145, 9167, 8726, 8725, 9166 7911, 9147, 8706, 8705, 9146, 9168, 8727, 8726, 9167 7912, 9148, 8707, 8706, 9147, 9169, 8728, 8727, 9168 7913, 9149, 8708, 8707, 9148, 9170, 8729, 8728, 9169 7914, 9150, 8709, 8708, 9149, 9171, 8730, 8729, 9170 7915, 9151, 8710, 8709, 9150, 9172, 8731, 8730, 9171 7916, 9152, 8711, 8710, 9151, 9173, 8732, 8731, 9172 7917, 9153, 8712, 8711, 9152, 9174, 8733, 8732, 9173 7918, 9154, 8713, 8712, 9153, 9175, 8734, 8733, 9174 7919, 9155, 8714, 8713, 9154, 9176, 8735, 8734, 9175 7920, 9156, 8715, 8714, 9155, 9177, 8736, 8735, 9176 7921, 9158, 8717, 8716, 9157, 9179, 8738, 8737, 9178 7922, 9159, 8718, 8717, 9158, 9180, 8739, 8738, 9179 7923, 9160, 8719, 8718, 9159, 9181, 8740, 8739, 9180 7924, 9161, 8720, 8719, 9160, 9182, 8741, 8740, 9181 7925, 9162, 8721, 8720, 9161, 9183, 8742, 8741, 9182 7926, 9163, 8722, 8721, 9162, 9184, 8743, 8742, 9183 7927, 9164, 8723, 8722, 9163, 9185, 8744, 8743, 9184 7928, 9165, 8724, 8723, 9164, 9186, 8745, 8744, 9185 7929, 9166, 8725, 8724, 9165, 9187, 8746, 8745, 9186 7930, 9167, 8726, 8725, 9166, 9188, 8747, 8746, 9187 7931, 9168, 8727, 8726, 9167, 9189, 8748, 8747, 9188 7932, 9169, 8728, 8727, 9168, 9190, 8749, 8748, 9189 7933, 9170, 8729, 8728, 9169, 9191, 8750, 8749, 9190 7934, 9171, 8730, 8729, 9170, 9192, 8751, 8750, 9191 7935, 9172, 8731, 8730, 9171, 9193, 8752, 8751, 9192 7936, 9173, 8732, 8731, 9172, 9194, 8753, 8752, 9193 7937, 9174, 8733, 8732, 9173, 9195, 8754, 8753, 9194 7938, 9175, 8734, 8733, 9174, 9196, 8755, 8754, 9195 7939, 9176, 8735, 8734, 9175, 9197, 8756, 8755, 9196 7940, 9177, 8736, 8735, 9176, 9198, 8757, 8756, 9197 7941, 9179, 8738, 8737, 9178, 9200, 8759, 8758, 9199 7942, 9180, 8739, 8738, 9179, 9201, 8760, 8759, 9200 7943, 9181, 8740, 8739, 9180, 9202, 8761, 8760, 9201 7944, 9182, 8741, 8740, 9181, 9203, 8762, 8761, 9202 7945, 9183, 8742, 8741, 9182, 9204, 8763, 8762, 9203 7946, 9184, 8743, 8742, 9183, 9205, 8764, 8763, 9204 7947, 9185, 8744, 8743, 9184, 9206, 8765, 8764, 9205 7948, 9186, 8745, 8744, 9185, 9207, 8766, 8765, 9206 7949, 9187, 8746, 8745, 9186, 9208, 8767, 8766, 9207 7950, 9188, 8747, 8746, 9187, 9209, 8768, 8767, 9208 7951, 9189, 8748, 8747, 9188, 9210, 8769, 8768, 9209 7952, 9190, 8749, 8748, 9189, 9211, 8770, 8769, 9210 7953, 9191, 8750, 8749, 9190, 9212, 8771, 8770, 9211 7954, 9192, 8751, 8750, 9191, 9213, 8772, 8771, 9212 7955, 9193, 8752, 8751, 9192, 9214, 8773, 8772, 9213 7956, 9194, 8753, 8752, 9193, 9215, 8774, 8773, 9214 7957, 9195, 8754, 8753, 9194, 9216, 8775, 8774, 9215 7958, 9196, 8755, 8754, 9195, 9217, 8776, 8775, 9216 7959, 9197, 8756, 8755, 9196, 9218, 8777, 8776, 9217 7960, 9198, 8757, 8756, 9197, 9219, 8778, 8777, 9218 7961, 9200, 8759, 8758, 9199, 9221, 8780, 8779, 9220 7962, 9201, 8760, 8759, 9200, 9222, 8781, 8780, 9221 7963, 9202, 8761, 8760, 9201, 9223, 8782, 8781, 9222 7964, 9203, 8762, 8761, 9202, 9224, 8783, 8782, 9223 7965, 9204, 8763, 8762, 9203, 9225, 8784, 8783, 9224 7966, 9205, 8764, 8763, 9204, 9226, 8785, 8784, 9225 7967, 9206, 8765, 8764, 9205, 9227, 8786, 8785, 9226 7968, 9207, 8766, 8765, 9206, 9228, 8787, 8786, 9227 7969, 9208, 8767, 8766, 9207, 9229, 8788, 8787, 9228 7970, 9209, 8768, 8767, 9208, 9230, 8789, 8788, 9229 7971, 9210, 8769, 8768, 9209, 9231, 8790, 8789, 9230 7972, 9211, 8770, 8769, 9210, 9232, 8791, 8790, 9231 7973, 9212, 8771, 8770, 9211, 9233, 8792, 8791, 9232 7974, 9213, 8772, 8771, 9212, 9234, 8793, 8792, 9233 7975, 9214, 8773, 8772, 9213, 9235, 8794, 8793, 9234 7976, 9215, 8774, 8773, 9214, 9236, 8795, 8794, 9235 7977, 9216, 8775, 8774, 9215, 9237, 8796, 8795, 9236 7978, 9217, 8776, 8775, 9216, 9238, 8797, 8796, 9237 7979, 9218, 8777, 8776, 9217, 9239, 8798, 8797, 9238 7980, 9219, 8778, 8777, 9218, 9240, 8799, 8798, 9239 7981, 9221, 8780, 8779, 9220, 9242, 8801, 8800, 9241 7982, 9222, 8781, 8780, 9221, 9243, 8802, 8801, 9242 7983, 9223, 8782, 8781, 9222, 9244, 8803, 8802, 9243 7984, 9224, 8783, 8782, 9223, 9245, 8804, 8803, 9244 7985, 9225, 8784, 8783, 9224, 9246, 8805, 8804, 9245 7986, 9226, 8785, 8784, 9225, 9247, 8806, 8805, 9246 7987, 9227, 8786, 8785, 9226, 9248, 8807, 8806, 9247 7988, 9228, 8787, 8786, 9227, 9249, 8808, 8807, 9248 7989, 9229, 8788, 8787, 9228, 9250, 8809, 8808, 9249 7990, 9230, 8789, 8788, 9229, 9251, 8810, 8809, 9250 7991, 9231, 8790, 8789, 9230, 9252, 8811, 8810, 9251 7992, 9232, 8791, 8790, 9231, 9253, 8812, 8811, 9252 7993, 9233, 8792, 8791, 9232, 9254, 8813, 8812, 9253 7994, 9234, 8793, 8792, 9233, 9255, 8814, 8813, 9254 7995, 9235, 8794, 8793, 9234, 9256, 8815, 8814, 9255 7996, 9236, 8795, 8794, 9235, 9257, 8816, 8815, 9256 7997, 9237, 8796, 8795, 9236, 9258, 8817, 8816, 9257 7998, 9238, 8797, 8796, 9237, 9259, 8818, 8817, 9258 7999, 9239, 8798, 8797, 9238, 9260, 8819, 8818, 9259 8000, 9240, 8799, 8798, 9239, 9261, 8820, 8819, 9260 ** ** ---------------------------------------------------------------- ** ================================================ FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase_elset.inp ================================================ ** Generated by : ImportExport Version 6.5.163.1998a502a ** ---------------------------------------------------------------- ** ** The element sets *Elset, elset=cube, generate 1, 8000, 1 ** ** Each Grain is made up of multiple elements ** *Elset, elset=Grain1_set 6, 7, 8, 25, 26, 27, 28, 29, 45, 46, 47, 48, 49, 65, 66, 67, 68, 69, 70, 85, 86, 87, 88, 89, 90, 105, 106, 107, 108, 109, 110, 406, 407, 408, 426, 427, 428, 429, 445, 446, 447, 448, 449, 465, 466, 467, 468, 469, 470, 485, 486, 487, 488, 489, 490, 505, 506, 507, 508, 509, 526, 806, 807, 808, 825, 826, 827, 828, 829, 845, 846, 847, 848, 849, 865, 866, 867, 868, 869, 870, 885, 886, 887, 888, 889, 905, 906, 907, 908, 926, 1206, 1207, 1208, 1225, 1226, 1227, 1228, 1229, 1245, 1246, 1247, 1248, 1249, 1265, 1266, 1267, 1268, 1269, 1284, 1285, 1286, 1287, 1288, 1305, 1306, 1307, 1308, 1326, 1606, 1607, 1608, 1625, 1626, 1627, 1628, 1629, 1645, 1646, 1647, 1648, 1649, 1665, 1666, 1667, 1668, 1684, 1685, 1686, 1687, 1688, 1705, 1706, 1707, 1708, 1726, 2065, 2066, 2067, 2085, 2086, 2087, 2088, 2106, 2107, 2108 *Elset, elset=Grain2_set 172, 173, 192, 193, 572, 573, 574, 575, 576, 592, 593, 594, 595, 596, 612, 613, 614, 952, 953, 954, 972, 973, 974, 975, 976, 992, 993, 994, 995, 996, 1012, 1013, 1014, 1015, 1016, 1353, 1354, 1355, 1372, 1373, 1374, 1375, 1376, 1391, 1392, 1393, 1394, 1395, 1396, 1411, 1412, 1413, 1414, 1415, 1416, 1432, 1433, 1434, 1435, 1752, 1753, 1754, 1755, 1756, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1791, 1792, 1793, 1794, 1795, 1796, 1811, 1812, 1813, 1814, 1815, 1816, 1832, 1833, 1834, 1835, 1836, 2153, 2154, 2155, 2173, 2174, 2175, 2176, 2177, 2193, 2194, 2195, 2196, 2213, 2214, 2215, 2216, 2233, 2234, 2235 *Elset, elset=Grain3_set 2061, 2062, 2063, 2064, 2081, 2082, 2083, 2084, 2101, 2102, 2103, 2104, 2105, 2121, 2122, 2123, 2124, 2125, 2126, 2141, 2142, 2143, 2144, 2145, 2146, 2161, 2162, 2163, 2164, 2165, 2166, 2181, 2182, 2183, 2184, 2185, 2186, 2201, 2202, 2203, 2204, 2205, 2441, 2442, 2443, 2461, 2462, 2463, 2464, 2481, 2482, 2483, 2484, 2485, 2501, 2502, 2503, 2504, 2505, 2506, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2581, 2582, 2583, 2584, 2585, 2586, 2601, 2602, 2603, 2604, 2605, 2621, 2622, 2623, 2624, 2801, 2802, 2821, 2822, 2841, 2842, 2843, 2861, 2862, 2863, 2864, 2881, 2882, 2883, 2884, 2885, 2901, 2902, 2903, 2904, 2905, 2906, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2981, 2982, 2983, 2984, 2985, 2986, 3001, 3002, 3003, 3004, 3005, 3021, 3022, 3023, 3024, 3041, 3043, 3044, 3221, 3222, 3241, 3242, 3243, 3261, 3262, 3263, 3264, 3281, 3282, 3283, 3284, 3285, 3301, 3302, 3303, 3304, 3305, 3306, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3381, 3382, 3383, 3384, 3385, 3386, 3401, 3402, 3403, 3404, 3405, 3421, 3422, 3423, 3424, 3425, 3441, 3443, 3444, 3641, 3642, 3643, 3661, 3662, 3663, 3664, 3681, 3682, 3683, 3684, 3685, 3701, 3702, 3703, 3704, 3705, 3706, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3781, 3782, 3783, 3784, 3785, 3786, 3801, 3802, 3803, 3804, 3805, 3821, 3822, 3823, 3824, 3825, 4061, 4062, 4063, 4081, 4082, 4083, 4084, 4085, 4101, 4102, 4103, 4104, 4105, 4106, 4121, 4122, 4123, 4124, 4125, 4126, 4127, 4141, 4142, 4143, 4144, 4145, 4146, 4147, 4161, 4162, 4163, 4164, 4165, 4166, 4167, 4181, 4182, 4183, 4184, 4185, 4186, 4201, 4202, 4203, 4204, 4205, 4221, 4222, 4223, 4224, 4225, 4481, 4482, 4483, 4501, 4502, 4503, 4504, 4505, 4506, 4521, 4522, 4523, 4524, 4525, 4526, 4527, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548, 4561, 4562, 4563, 4564, 4565, 4566, 4567, 4581, 4582, 4583, 4584, 4585, 4586, 4601, 4602, 4603, 4604, 4605, 4625, 4881, 4901, 4902, 4903, 4904, 4905, 4921, 4922, 4923, 4924, 4925, 4926, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4964, 4965, 4966, 5301, 5325, 5326 *Elset, elset=Grain4_set 2540, 2558, 2559, 2560, 2578, 2939, 2940, 2958, 2959, 2960, 2978, 2979, 2980, 2998, 2999, 3000, 3018, 3019, 3020, 3038, 3039, 3040, 3339, 3340, 3358, 3359, 3360, 3378, 3379, 3380, 3398, 3399, 3400, 3418, 3419, 3420, 3438, 3439, 3440, 3739, 3740, 3758, 3759, 3760, 3778, 3779, 3780, 3798, 3799, 3800, 3818, 3819, 3820, 3838, 3839, 3840, 4140, 4159, 4160, 4178, 4179, 4180, 4198, 4199, 4200, 4218, 4219, 4220, 4238, 4239, 4240, 4560, 4579, 4580, 4598, 4599, 4600, 4618, 4619, 4620, 4638, 4639, 4640, 4960, 4980, 4999, 5000, 5020, 5040, 5380 *Elset, elset=Grain5_set 3201, 3202, 3601, 3602, 3603, 3621, 3622, 3623, 4001, 4002, 4003, 4004, 4005, 4021, 4022, 4023, 4024, 4025, 4041, 4042, 4043, 4044, 4045, 4064, 4065, 4401, 4402, 4403, 4404, 4405, 4406, 4421, 4422, 4423, 4424, 4425, 4426, 4441, 4442, 4443, 4444, 4445, 4446, 4461, 4462, 4463, 4464, 4465, 4466, 4484, 4485, 4486, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4821, 4822, 4823, 4824, 4825, 4826, 4827, 4841, 4842, 4843, 4844, 4845, 4846, 4847, 4861, 4862, 4863, 4864, 4865, 4866, 4867, 4882, 4883, 4884, 4885, 4886, 4887, 4906, 5201, 5202, 5203, 5204, 5205, 5206, 5207, 5208, 5221, 5222, 5223, 5224, 5225, 5226, 5227, 5228, 5241, 5242, 5243, 5244, 5245, 5246, 5247, 5248, 5261, 5262, 5263, 5264, 5265, 5266, 5267, 5281, 5282, 5283, 5284, 5285, 5286, 5287, 5302, 5303, 5304, 5305, 5306, 5601, 5602, 5603, 5604, 5605, 5606, 5607, 5608, 5609, 5621, 5622, 5623, 5624, 5625, 5626, 5627, 5628, 5629, 5641, 5642, 5643, 5644, 5645, 5646, 5647, 5648, 5661, 5662, 5663, 5664, 5665, 5666, 5667, 5681, 5682, 5683, 5684, 5685, 5686, 5702, 5703, 5704, 5705, 5706, 6001, 6002, 6003, 6004, 6005, 6006, 6007, 6008, 6009, 6021, 6022, 6023, 6024, 6025, 6026, 6027, 6028, 6041, 6042, 6043, 6044, 6045, 6046, 6047, 6061, 6062, 6063, 6064, 6065, 6066, 6081, 6082, 6083, 6084, 6085, 6086, 6102, 6103, 6104, 6105, 6106, 6401, 6402, 6403, 6404, 6405, 6406, 6407, 6421, 6422, 6423, 6424, 6425, 6426, 6441, 6442, 6443, 6444, 6445, 6446, 6447, 6461, 6462, 6463, 6464, 6465, 6466, 6483, 6484, 6485, 6486, 6801, 6802, 6803, 6821, 6822, 6841, 6842, 6843 *Elset, elset=Grain6_set 3299, 3300, 3320, 3620, 3639, 3640, 3658, 3659, 3660, 3679, 3680, 3699, 3700, 3720, 4017, 4018, 4019, 4020, 4037, 4038, 4039, 4040, 4058, 4059, 4060, 4078, 4079, 4080, 4099, 4100, 4120, 4416, 4417, 4418, 4419, 4420, 4436, 4437, 4438, 4439, 4440, 4457, 4458, 4459, 4460, 4478, 4479, 4480, 4499, 4500, 4519, 4520, 4540, 4816, 4817, 4818, 4819, 4820, 4836, 4837, 4838, 4839, 4840, 4857, 4858, 4859, 4860, 4878, 4879, 4880, 4898, 4899, 4900, 4919, 4920, 4940, 5216, 5217, 5218, 5219, 5220, 5236, 5237, 5238, 5239, 5240, 5257, 5258, 5259, 5260, 5277, 5278, 5279, 5280, 5298, 5299, 5300, 5319, 5320, 5340, 5360, 5617, 5618, 5619, 5620, 5636, 5637, 5638, 5639, 5640, 5657, 5658, 5659, 5660, 5677, 5678, 5679, 5680, 5698, 5699, 5700, 5719, 5720, 5740, 6019, 6020, 6038, 6039, 6040, 6057, 6058, 6059, 6060, 6077, 6078, 6079, 6080, 6460 *Elset, elset=Grain7_set 38, 57, 58, 59, 60, 75, 76, 77, 78, 79, 80, 94, 95, 96, 97, 98, 99, 100, 113, 114, 115, 116, 117, 118, 119, 120, 132, 133, 134, 135, 136, 137, 138, 139, 140, 152, 153, 154, 155, 156, 157, 158, 159, 160, 174, 175, 176, 177, 178, 179, 457, 458, 475, 476, 477, 478, 479, 480, 494, 495, 496, 497, 498, 499, 500, 513, 514, 515, 516, 517, 518, 519, 520, 533, 534, 535, 536, 537, 538, 539, 540, 553, 554, 555, 556, 557, 558, 559, 560, 577, 578, 875, 876, 877, 878, 879, 894, 895, 896, 897, 898, 899, 900, 913, 914, 915, 916, 917, 918, 919, 920, 933, 934, 935, 936, 937, 938, 939, 940, 955, 956, 957, 958, 959, 977, 978, 1275, 1294, 1295, 1296, 1297, 1298, 1299, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1356, 1357, 1358, 1377, 1694, 1714, 1715, 1716, 1717, 1718, 1734, 1735, 1736, 1737, 1738, 1739, 1757, 1758, 2137, 2138 *Elset, elset=Grain8_set 3058, 3059, 3060, 3079, 3080, 3100, 3458, 3459, 3460, 3478, 3479, 3480, 3499, 3500, 3520, 3858, 3859, 3860, 3878, 3879, 3880, 3898, 3899, 3900, 3919, 3920, 4258, 4259, 4260, 4277, 4278, 4279, 4280, 4298, 4299, 4300, 4319, 4320, 4340, 4658, 4659, 4660, 4679, 4680, 4699, 4700, 4719, 4720, 4740, 5059, 5060, 5079, 5080, 5100 *Elset, elset=Grain9_set 6000, 6379, 6380, 6398, 6399, 6400, 6776, 6777, 6778, 6779, 6780, 6794, 6795, 6796, 6797, 6798, 6799, 6800, 7157, 7158, 7159, 7174, 7175, 7176, 7177, 7178, 7179, 7180, 7194, 7195, 7196, 7197, 7198, 7199, 7200, 7554, 7555, 7556, 7557, 7558, 7559, 7560, 7574, 7575, 7576, 7577, 7578, 7579, 7580, 7593, 7594, 7595, 7596, 7597, 7598, 7599, 7600, 7954, 7955, 7956, 7957, 7958, 7959, 7960, 7973, 7974, 7975, 7976, 7977, 7978, 7979, 7980, 7993, 7994, 7995, 7996, 7997, 7998, 7999, 8000 *Elset, elset=Grain10_set 6886, 6906, 6907, 6925, 6926, 6927, 6945, 6946, 6947, 6948, 6965, 6966, 6967, 6968, 6985, 6986, 6987, 7286, 7306, 7307, 7308, 7325, 7326, 7327, 7328, 7329, 7345, 7346, 7347, 7348, 7349, 7365, 7366, 7367, 7368, 7369, 7370, 7384, 7385, 7386, 7387, 7388, 7389, 7390, 7405, 7406, 7407, 7408, 7686, 7687, 7688, 7706, 7707, 7708, 7709, 7725, 7726, 7727, 7728, 7729, 7745, 7746, 7747, 7748, 7749, 7750, 7765, 7766, 7767, 7768, 7769, 7770, 7771, 7784, 7785, 7786, 7787, 7788, 7789, 7790, 7791, 7792, 7805, 7806, 7807, 7808, 7809, 7810, 7811, 7827, 7828 *Elset, elset=Grain11_set 491, 510, 511, 512, 531, 532, 551, 552, 890, 891, 892, 909, 910, 911, 912, 930, 931, 932, 951, 1270, 1271, 1272, 1289, 1290, 1291, 1292, 1293, 1309, 1310, 1311, 1312, 1313, 1329, 1330, 1331, 1332, 1333, 1351, 1352, 1371, 1669, 1670, 1671, 1672, 1689, 1690, 1691, 1692, 1693, 1709, 1710, 1711, 1712, 1713, 1729, 1730, 1731, 1732, 1733, 1751, 2070, 2071, 2072, 2089, 2090, 2091, 2092, 2093, 2109, 2110, 2111, 2112, 2113, 2129, 2130, 2131, 2132, 2510, 2511, 2512, 2529 *Elset, elset=Grain12_set 6408, 6427, 6428, 6804, 6805, 6806, 6807, 6808, 6809, 6823, 6824, 6825, 6826, 6827, 6828, 6829, 6844, 6845, 6846, 6847, 6848, 6865, 6866, 6867, 7201, 7202, 7203, 7204, 7205, 7206, 7207, 7208, 7209, 7210, 7221, 7222, 7223, 7224, 7225, 7226, 7227, 7228, 7229, 7243, 7244, 7245, 7246, 7247, 7248, 7249, 7265, 7266, 7267, 7268, 7269, 7287, 7288, 7601, 7602, 7603, 7604, 7605, 7606, 7607, 7608, 7609, 7610, 7621, 7622, 7623, 7624, 7625, 7626, 7627, 7628, 7629, 7630, 7642, 7643, 7644, 7645, 7646, 7647, 7648, 7649, 7665, 7666, 7667, 7668, 7669 *Elset, elset=Grain13_set 300, 317, 318, 319, 320, 336, 337, 338, 339, 340, 355, 356, 357, 358, 359, 360, 374, 375, 376, 377, 378, 379, 380, 395, 396, 397, 398, 399, 717, 718, 719, 720, 736, 737, 738, 739, 740, 755, 756, 757, 758, 759, 774, 775, 776, 777, 778, 779, 795, 796, 797, 798, 1117, 1118, 1119, 1120, 1136, 1137, 1138, 1139, 1155, 1156, 1157, 1158, 1159, 1174, 1175, 1176, 1177, 1178, 1195, 1196, 1197, 1198, 1517, 1518, 1519, 1536, 1537, 1538, 1555, 1556, 1557, 1558, 1575, 1576, 1577, 1595, 1596, 1597 *Elset, elset=Grain14_set 2005, 2006, 2007, 2008, 2009, 2010, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2068, 2069, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2507, 2508, 2509, 2528, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2907, 2908, 2909, 2910, 2911, 2928, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3307, 3308, 3309, 3310, 3311, 3328, 3329, 3348, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3644, 3645, 3646, 3647, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3707, 3708, 3709, 3710, 3711, 3728, 3729, 3748, 4006, 4007, 4008, 4009, 4010, 4011, 4012, 4013, 4014, 4015, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4107, 4108, 4109, 4110, 4111, 4128, 4129, 4148, 4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415, 4427, 4428, 4429, 4430, 4431, 4432, 4433, 4434, 4447, 4448, 4449, 4450, 4451, 4452, 4453, 4467, 4468, 4469, 4470, 4471, 4472, 4487, 4488, 4489, 4490, 4491, 4492, 4507, 4508, 4509, 4510, 4511, 4528, 4808, 4809, 4810, 4811, 4812, 4813, 4814, 4828, 4829, 4830, 4831, 4832, 4833, 4848, 4849, 4850, 4851, 4852, 4853, 4868, 4869, 4870, 4871, 4872, 4888, 5209, 5210, 5211, 5212, 5213, 5214, 5229, 5230, 5231, 5232, 5233, 5252, 5610, 5611 *Elset, elset=Grain15_set 1, 2, 3, 4, 5, 21, 22, 23, 24, 41, 42, 43, 44, 61, 62, 63, 64, 81, 82, 83, 84, 401, 402, 403, 404, 405, 421, 422, 423, 424, 425, 441, 442, 443, 444, 461, 462, 463, 464, 481, 482, 483, 484, 801, 802, 803, 804, 805, 821, 822, 823, 824, 841, 842, 843, 844, 861, 862, 863, 864, 881, 882, 883, 884, 1201, 1202, 1203, 1204, 1205, 1221, 1222, 1223, 1224, 1241, 1242, 1243, 1244, 1261, 1262, 1263, 1264, 1281, 1282, 1283, 1601, 1602, 1603, 1604, 1605, 1621, 1622, 1623, 1624, 1641, 1642, 1643, 1644, 1661, 1662, 1663, 1664, 1681, 1682, 1683, 2001, 2002, 2003, 2004, 2021, 2022, 2023, 2024, 2041, 2042, 2043, 2044, 2401, 2402, 2403, 2421, 2422, 2423 *Elset, elset=Grain16_set 4967, 4968, 4986, 4987, 4988, 5006, 5026, 5046, 5367, 5368, 5386, 5387, 5388, 5389, 5390, 5406, 5407, 5408, 5409, 5410, 5425, 5426, 5427, 5428, 5429, 5430, 5431, 5445, 5446, 5447, 5448, 5466, 5767, 5768, 5786, 5787, 5788, 5789, 5790, 5806, 5807, 5808, 5809, 5810, 5811, 5825, 5826, 5827, 5828, 5829, 5830, 5831, 5846, 5847, 5848, 5849, 5850, 5866, 5867, 5868, 5886, 6166, 6167, 6168, 6186, 6187, 6188, 6189, 6190, 6191, 6205, 6206, 6207, 6208, 6209, 6210, 6211, 6225, 6226, 6227, 6228, 6229, 6230, 6231, 6246, 6247, 6248, 6249, 6250, 6251, 6266, 6267, 6268, 6269, 6287, 6566, 6567, 6568, 6586, 6587, 6588, 6589, 6590, 6606, 6607, 6608, 6609, 6610, 6611, 6626, 6627, 6628, 6629, 6630, 6631, 6646, 6647, 6648, 6649, 6650, 6651, 6667, 6668, 6669, 6670, 6687, 6688, 6689, 6988, 6989, 6990, 7006, 7007, 7008, 7009, 7010, 7011, 7026, 7027, 7028, 7029, 7030, 7031, 7047, 7048, 7049, 7050, 7051, 7052, 7067, 7068, 7069, 7070, 7071, 7087, 7088, 7089, 7090, 7409, 7410, 7411, 7427, 7428, 7429, 7430, 7431, 7447, 7448, 7449, 7450, 7451, 7467, 7468, 7469, 7470, 7471, 7488, 7489, 7490, 7829, 7830, 7831, 7848, 7849, 7850, 7851, 7868, 7869, 7870 *Elset, elset=Grain17_set 126, 127, 128, 129, 130, 131, 146, 147, 148, 149, 150, 151, 166, 167, 168, 169, 170, 171, 186, 187, 188, 189, 190, 191, 206, 207, 208, 209, 210, 527, 528, 529, 530, 546, 547, 548, 549, 550, 566, 567, 568, 569, 570, 571, 586, 587, 588, 589, 590, 591, 927, 928, 929, 946, 947, 948, 949, 950, 966, 967, 968, 969, 970, 971, 986, 987, 988, 989, 990, 991, 1327, 1328, 1346, 1347, 1348, 1349, 1350, 1366, 1367, 1368, 1369, 1370, 1386, 1387, 1388, 1389, 1390, 1727, 1728, 1746, 1747, 1748, 1749, 1750, 1766, 1767, 1768, 1769, 1770, 1786, 1787, 1788, 1789, 1790, 2127, 2128, 2147, 2148, 2149, 2167, 2168, 2169, 2187 *Elset, elset=Grain18_set 5841, 5842, 5843, 5844, 5845, 5861, 5862, 5863, 5864, 5865, 5881, 5882, 5883, 5884, 5885, 5901, 5904, 5905, 6221, 6222, 6223, 6224, 6241, 6242, 6243, 6244, 6245, 6261, 6262, 6263, 6264, 6265, 6281, 6282, 6283, 6284, 6285, 6286, 6301, 6302, 6303, 6304, 6305, 6306, 6321, 6322, 6323, 6324, 6604, 6605, 6621, 6622, 6623, 6624, 6625, 6641, 6642, 6643, 6644, 6645, 6661, 6662, 6663, 6664, 6665, 6666, 6681, 6682, 6683, 6684, 6685, 6686, 6701, 6702, 6703, 6704, 6705, 6706, 6707, 6721, 6722, 6723, 6724, 6725, 6726, 6727, 6741, 6742, 6743, 7001, 7002, 7003, 7004, 7005, 7021, 7022, 7023, 7024, 7025, 7041, 7042, 7043, 7044, 7045, 7046, 7061, 7062, 7063, 7064, 7065, 7066, 7081, 7082, 7083, 7084, 7085, 7086, 7101, 7102, 7103, 7104, 7105, 7106, 7107, 7121, 7122, 7123, 7124, 7125, 7126, 7141, 7142, 7143, 7144, 7161, 7162, 7163, 7401, 7402, 7403, 7404, 7421, 7422, 7423, 7424, 7425, 7426, 7441, 7442, 7443, 7444, 7445, 7446, 7461, 7462, 7463, 7464, 7465, 7466, 7481, 7482, 7483, 7484, 7485, 7486, 7487, 7501, 7502, 7503, 7504, 7505, 7506, 7507, 7521, 7522, 7523, 7524, 7525, 7541, 7542, 7543, 7544, 7561, 7562, 7563, 7581, 7582, 7801, 7802, 7803, 7804, 7821, 7822, 7823, 7824, 7825, 7826, 7841, 7842, 7843, 7844, 7845, 7846, 7847, 7861, 7862, 7863, 7864, 7865, 7866, 7867, 7881, 7882, 7883, 7884, 7885, 7886, 7887, 7888, 7901, 7902, 7903, 7904, 7905, 7906, 7921, 7922, 7923, 7924, 7925, 7941, 7942, 7943, 7944, 7961, 7962, 7963, 7981, 7982 *Elset, elset=Grain19_set 4276, 4296, 4657, 4674, 4675, 4676, 4677, 4678, 4694, 4695, 4696, 4697, 4698, 4714, 4715, 4716, 4717, 4718, 4734, 4735, 4736, 4737, 4738, 4739, 4754, 4755, 4756, 4757, 4758, 4776, 5074, 5075, 5076, 5077, 5078, 5094, 5095, 5096, 5097, 5098, 5099, 5114, 5115, 5116, 5117, 5118, 5119, 5120, 5134, 5135, 5136, 5137, 5138, 5139, 5140, 5154, 5155, 5156, 5157, 5158, 5159, 5160, 5174, 5175, 5176, 5177, 5178, 5179, 5180, 5195, 5196, 5197, 5474, 5475, 5476, 5477, 5478, 5479, 5480, 5494, 5495, 5496, 5497, 5498, 5499, 5500, 5514, 5515, 5516, 5517, 5518, 5519, 5520, 5534, 5535, 5536, 5537, 5538, 5539, 5540, 5554, 5555, 5556, 5557, 5558, 5559, 5560, 5574, 5575, 5576, 5577, 5578, 5579, 5580, 5594, 5595, 5596, 5597, 5598, 5599, 5600, 5875, 5876, 5877, 5878, 5879, 5880, 5894, 5895, 5896, 5897, 5898, 5899, 5900, 5914, 5915, 5916, 5917, 5918, 5919, 5920, 5934, 5935, 5936, 5937, 5938, 5939, 5940, 5954, 5955, 5956, 5957, 5958, 5959, 5960, 5974, 5975, 5976, 5977, 5978, 5979, 5980, 5994, 5995, 5996, 5997, 5998, 5999, 6294, 6295, 6296, 6297, 6298, 6314, 6315, 6316, 6317, 6318, 6319, 6334, 6335, 6336, 6337, 6338, 6339, 6354, 6355, 6356, 6357, 6358, 6359, 6360, 6374, 6375, 6376, 6377, 6378, 6394, 6395, 6396, 6397, 6714, 6715, 6734, 6735, 6736, 6754, 6755, 6756, 6757, 6774, 6775 *Elset, elset=Grain20_set 4995, 4996, 4997, 4998, 5014, 5015, 5016, 5017, 5018, 5019, 5033, 5034, 5035, 5036, 5037, 5038, 5039, 5053, 5054, 5055, 5056, 5057, 5058, 5373, 5374, 5375, 5376, 5377, 5378, 5379, 5392, 5393, 5394, 5395, 5396, 5397, 5398, 5399, 5400, 5412, 5413, 5414, 5415, 5416, 5417, 5418, 5419, 5420, 5432, 5433, 5434, 5435, 5436, 5437, 5438, 5439, 5440, 5453, 5454, 5455, 5456, 5457, 5458, 5459, 5460, 5773, 5774, 5775, 5776, 5777, 5778, 5779, 5792, 5793, 5794, 5795, 5796, 5797, 5798, 5799, 5800, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819, 5820, 5832, 5833, 5834, 5835, 5836, 5837, 5838, 5839, 5840, 5853, 5854, 5855, 5856, 5857, 5858, 5859, 5860, 5874, 6155, 6173, 6174, 6175, 6176, 6177, 6178, 6192, 6193, 6194, 6195, 6196, 6197, 6198, 6199, 6212, 6213, 6214, 6215, 6216, 6217, 6218, 6219, 6232, 6233, 6234, 6235, 6236, 6237, 6238, 6252, 6253, 6254, 6255, 6256, 6257, 6274, 6275, 6276, 6573, 6574, 6575, 6592, 6593, 6594, 6595, 6596, 6597, 6598, 6612, 6613, 6614, 6615, 6616, 6617, 6632, 6633, 6634, 6635, 6636, 6652, 6653, 6654, 6674, 6974, 6993, 6994, 7012, 7013, 7032, 7033, 7374 *Elset, elset=Grain21_set 307, 308, 309, 310, 326, 327, 328, 329, 330, 331, 346, 347, 348, 349, 350, 367, 368, 387, 706, 707, 708, 709, 710, 711, 726, 727, 728, 729, 730, 731, 746, 747, 748, 749, 750, 766, 767, 768, 769, 787, 788, 1086, 1087, 1089, 1090, 1106, 1107, 1108, 1109, 1110, 1111, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1166, 1167, 1168, 1169, 1170, 1186, 1187, 1188, 1487, 1488, 1489, 1490, 1506, 1507, 1508, 1509, 1510, 1511, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1566, 1567, 1568, 1569, 1570, 1586, 1587, 1588, 1589, 1887, 1888, 1889, 1890, 1906, 1907, 1908, 1909, 1910, 1911, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1966, 1967, 1968, 1969, 1970, 1986, 1987, 1988, 1989, 1990 *Elset, elset=Grain22_set 323, 324, 325, 341, 342, 343, 344, 345, 361, 362, 363, 364, 365, 366, 381, 382, 383, 384, 385, 386, 724, 725, 741, 742, 743, 744, 745, 761, 762, 763, 764, 765, 781, 782, 783, 784, 785, 786, 1141, 1142, 1143, 1144, 1145, 1161, 1162, 1163, 1164, 1165, 1181, 1182, 1183, 1184, 1185, 1541, 1542, 1543, 1544, 1545, 1561, 1562, 1563, 1564, 1565, 1581, 1582, 1583, 1584, 1585 *Elset, elset=Grain23_set 3042, 3061, 3062, 3063, 3064, 3442, 3461, 3462, 3463, 3464, 3481, 3482, 3483, 3484, 3485, 3501, 3502, 3503, 3504, 3841, 3842, 3843, 3844, 3861, 3862, 3863, 3864, 3865, 3881, 3882, 3883, 3884, 3885, 3901, 3902, 3903, 3904, 3905, 3906, 3921, 3922, 3923, 3924, 3925, 4241, 4242, 4243, 4244, 4245, 4261, 4262, 4263, 4264, 4265, 4281, 4282, 4283, 4284, 4285, 4301, 4302, 4303, 4304, 4305, 4306, 4321, 4322, 4323, 4324, 4325, 4326, 4341, 4342, 4343, 4344, 4345, 4346, 4621, 4622, 4623, 4624, 4641, 4642, 4643, 4644, 4645, 4661, 4662, 4663, 4664, 4665, 4681, 4682, 4683, 4684, 4685, 4686, 4701, 4702, 4703, 4704, 4705, 4706, 4721, 4722, 4723, 4724, 4725, 4726, 4741, 4742, 4743, 4744, 4761, 5021, 5022, 5023, 5024, 5025, 5041, 5042, 5043, 5044, 5045, 5061, 5062, 5063, 5064, 5065, 5066, 5081, 5082, 5083, 5084, 5085, 5086, 5101, 5102, 5103, 5104, 5105, 5106, 5121, 5122, 5123, 5124, 5141, 5142, 5441, 5442, 5443, 5444, 5461, 5462, 5463, 5464, 5465, 5481, 5482, 5483, 5484, 5485, 5501, 5502, 5503, 5504, 5505, 5521, 5522, 5523, 5902, 5903, 5921 *Elset, elset=Grain24_set 5759, 5760, 5780, 6097, 6098, 6099, 6100, 6116, 6117, 6118, 6119, 6120, 6136, 6137, 6138, 6139, 6140, 6156, 6157, 6158, 6159, 6160, 6179, 6180, 6200, 6478, 6479, 6480, 6496, 6497, 6498, 6499, 6500, 6516, 6517, 6518, 6519, 6520, 6536, 6537, 6538, 6539, 6540, 6555, 6556, 6557, 6558, 6559, 6560, 6576, 6577, 6578, 6579, 6580, 6600, 6879, 6880, 6897, 6898, 6899, 6900, 6916, 6917, 6918, 6919, 6920, 6936, 6937, 6938, 6939, 6940, 6955, 6956, 6957, 6958, 6959, 6960, 6975, 6976, 6977, 6978, 6979, 6980, 7298, 7299, 7300, 7316, 7317, 7318, 7319, 7320, 7335, 7336, 7337, 7338, 7339, 7340, 7355, 7356, 7357, 7358, 7359, 7360, 7375, 7376, 7377, 7378, 7379, 7380, 7699, 7700, 7716, 7717, 7718, 7719, 7720, 7735, 7736, 7737, 7738, 7739, 7740, 7755, 7756, 7757, 7758, 7759, 7760, 7777, 7778, 7779, 7780 *Elset, elset=Grain25_set 5253, 5612, 5613, 5614, 5632, 5633, 5634, 5635, 5652, 5653, 5654, 5655, 5673, 5674, 6010, 6011, 6012, 6013, 6014, 6030, 6031, 6032, 6033, 6034, 6035, 6051, 6052, 6053, 6054, 6055, 6056, 6072, 6073, 6074, 6075, 6093, 6094, 6095, 6114, 6115, 6134, 6409, 6410, 6411, 6412, 6413, 6429, 6430, 6431, 6432, 6433, 6434, 6450, 6451, 6452, 6453, 6454, 6455, 6471, 6472, 6473, 6474, 6475, 6492, 6493, 6494, 6495, 6513, 6514, 6515, 6534, 6535, 6810, 6811, 6812, 6813, 6830, 6831, 6832, 6833, 6834, 6850, 6851, 6852, 6853, 6854, 6870, 6871, 6872, 6873, 6874, 6875, 6891, 6892, 6893, 6894, 6895, 6912, 6913, 6914, 6915, 6933, 6934, 6935, 6953, 6954, 6973, 7211, 7230, 7231, 7232, 7233, 7250, 7251, 7252, 7253, 7270, 7271, 7272, 7273, 7274, 7291, 7292, 7293, 7294, 7311, 7312, 7313, 7314, 7315, 7333, 7334, 7353, 7354, 7373, 7631, 7650, 7651, 7652, 7670, 7671, 7672, 7673, 7691, 7692, 7693, 7711, 7712, 7713, 7714, 7733, 7734, 7753, 7754, 7773 *Elset, elset=Grain26_set 2114, 2133, 2134, 2135, 2136, 2150, 2151, 2152, 2156, 2157, 2170, 2171, 2172, 2190, 2191, 2192, 2211, 2212, 2232, 2253, 2513, 2514, 2515, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2611, 2612, 2613, 2614, 2615, 2616, 2632, 2633, 2634, 2635, 2636, 2653, 2654, 2655, 2656, 2912, 2913, 2914, 2915, 2916, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 3012, 3013, 3014, 3015, 3016, 3017, 3032, 3033, 3034, 3035, 3036, 3037, 3053, 3054, 3055, 3056, 3057, 3312, 3313, 3314, 3330, 3331, 3332, 3333, 3334, 3335, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3412, 3413, 3414, 3415, 3416, 3417, 3432, 3433, 3434, 3435, 3436, 3437, 3453, 3454, 3455, 3456, 3457, 3474, 3712, 3713, 3730, 3731, 3732, 3733, 3734, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3812, 3813, 3814, 3815, 3816, 3817, 3832, 3833, 3834, 3835, 3836, 3837, 3853, 3854, 3855, 3856, 3857, 3874, 3875, 3876, 4112, 4130, 4131, 4132, 4133, 4149, 4150, 4151, 4152, 4153, 4154, 4155, 4170, 4171, 4172, 4173, 4174, 4175, 4176, 4177, 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4212, 4213, 4214, 4215, 4216, 4217, 4232, 4233, 4234, 4235, 4236, 4237, 4253, 4254, 4255, 4256, 4257, 4274, 4275, 4531, 4532, 4549, 4550, 4551, 4552, 4553, 4554, 4569, 4570, 4571, 4572, 4573, 4574, 4575, 4576, 4590, 4591, 4592, 4593, 4594, 4595, 4596, 4597, 4611, 4612, 4613, 4614, 4615, 4616, 4617, 4632, 4633, 4634, 4635, 4636, 4637, 4653, 4654, 4655, 4656, 4932, 4951, 4952, 4953, 4969, 4970, 4971, 4972, 4973, 4974, 4975, 4990, 4991, 4992, 4993, 4994, 5011, 5012, 5013, 5032, 5372, 5391, 5411 *Elset, elset=Grain27_set 1553, 1554, 1574, 1594, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1973, 1974, 1975, 1976, 1977, 1993, 1994, 1995, 1996, 1997, 2275, 2276, 2293, 2294, 2295, 2296, 2297, 2298, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2674, 2675, 2676, 2677, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 3074, 3075, 3076, 3077, 3078, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3475, 3476, 3477, 3494, 3495, 3496, 3497, 3498, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3877, 3894, 3895, 3896, 3897, 3913, 3914, 3915, 3916, 3917, 3918, 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940, 3952, 3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3972, 3973, 3974, 3975, 3976, 3977, 3978, 3979, 3980, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4294, 4295, 4297, 4313, 4314, 4315, 4316, 4317, 4318, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4352, 4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379, 4380, 4391, 4392, 4393, 4394, 4395, 4396, 4397, 4398, 4399, 4400, 4759, 4760, 4774, 4775, 4777, 4778, 4779, 4780, 4793, 4794, 4795, 4796, 4797, 4798, 4799, 4800, 5194, 5198, 5199, 5200 *Elset, elset=Grain28_set 4366, 4385, 4386, 4387, 4745, 4746, 4747, 4762, 4763, 4764, 4765, 4766, 4767, 4781, 4782, 4783, 4784, 4785, 4786, 4787, 4788, 5125, 5126, 5143, 5144, 5145, 5146, 5147, 5161, 5162, 5163, 5164, 5165, 5166, 5167, 5181, 5182, 5183, 5184, 5185, 5186, 5187, 5188, 5524, 5525, 5526, 5541, 5542, 5543, 5544, 5545, 5546, 5547, 5561, 5562, 5563, 5564, 5565, 5566, 5567, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5588, 5922, 5923, 5924, 5925, 5926, 5941, 5942, 5943, 5944, 5945, 5946, 5947, 5961, 5962, 5963, 5964, 5965, 5966, 5967, 5981, 5982, 5983, 5984, 5985, 5986, 5987, 5988, 6325, 6326, 6341, 6342, 6343, 6344, 6345, 6346, 6347, 6361, 6362, 6363, 6364, 6365, 6366, 6367, 6381, 6382, 6383, 6384, 6385, 6386, 6387, 6388, 6744, 6745, 6746, 6761, 6762, 6763, 6764, 6765, 6781, 6782, 6783, 6784, 6785, 7164, 7181, 7182, 7183, 7184, 7583 *Elset, elset=Grain29_set 4332, 4351, 4371, 4687, 4688, 4689, 4690, 4691, 4692, 4693, 4707, 4708, 4709, 4710, 4711, 4712, 4713, 4727, 4728, 4729, 4730, 4731, 4732, 4733, 4748, 4749, 4750, 4751, 4752, 4753, 4768, 4769, 4770, 4771, 4772, 4773, 4789, 4790, 4791, 4792, 5049, 5050, 5051, 5052, 5067, 5068, 5069, 5070, 5071, 5072, 5073, 5087, 5088, 5089, 5090, 5091, 5092, 5093, 5107, 5108, 5109, 5110, 5111, 5112, 5113, 5127, 5128, 5129, 5130, 5131, 5132, 5133, 5148, 5149, 5150, 5151, 5152, 5153, 5168, 5169, 5170, 5171, 5172, 5173, 5189, 5190, 5191, 5192, 5193, 5449, 5450, 5451, 5452, 5467, 5468, 5469, 5470, 5471, 5472, 5473, 5486, 5487, 5488, 5489, 5490, 5491, 5492, 5493, 5506, 5507, 5508, 5509, 5510, 5511, 5512, 5513, 5527, 5528, 5529, 5530, 5531, 5532, 5533, 5548, 5549, 5550, 5551, 5552, 5553, 5568, 5569, 5570, 5571, 5572, 5573, 5589, 5590, 5591, 5592, 5593, 5851, 5852, 5869, 5870, 5871, 5872, 5873, 5887, 5888, 5889, 5890, 5891, 5892, 5893, 5906, 5907, 5908, 5909, 5910, 5911, 5912, 5913, 5927, 5928, 5929, 5930, 5931, 5932, 5933, 5948, 5949, 5950, 5951, 5952, 5953, 5968, 5969, 5970, 5971, 5972, 5973, 5989, 5990, 5991, 5992, 5993, 6270, 6271, 6272, 6273, 6288, 6289, 6290, 6291, 6292, 6293, 6307, 6308, 6309, 6310, 6311, 6312, 6313, 6327, 6328, 6329, 6330, 6331, 6332, 6333, 6348, 6349, 6350, 6351, 6352, 6353, 6368, 6369, 6370, 6371, 6372, 6373, 6390, 6391, 6392, 6393, 6671, 6672, 6673, 6690, 6691, 6692, 6693, 6708, 6709, 6710, 6711, 6712, 6713, 6728, 6729, 6730, 6731, 6732, 6733, 6750, 6751, 6752, 6753, 6772, 6773, 7072, 7091, 7092, 7110, 7111, 7112, 7132, 7133, 7491 *Elset, elset=Grain30_set 9, 10, 11, 12, 13, 14, 15, 16, 17, 30, 31, 32, 33, 34, 35, 36, 37, 50, 51, 52, 53, 54, 55, 56, 71, 72, 73, 74, 91, 92, 93, 111, 112, 409, 410, 411, 412, 413, 414, 415, 416, 430, 431, 432, 433, 434, 435, 436, 437, 450, 451, 452, 453, 454, 455, 456, 471, 472, 473, 474, 492, 493, 809, 810, 811, 812, 813, 814, 815, 830, 831, 832, 833, 834, 835, 850, 851, 852, 853, 854, 855, 871, 872, 873, 874, 893, 1209, 1210, 1211, 1212, 1213, 1214, 1230, 1231, 1232, 1233, 1234, 1250, 1251, 1252, 1253, 1254, 1273, 1274, 1609, 1610, 1611, 1612, 1613, 1614, 1630, 1631, 1632, 1633, 1634, 1650, 1651, 1652, 1653, 1654, 1673, 1674, 2011, 2012, 2013, 2032, 2033, 2052, 2053, 2073 *Elset, elset=Grain31_set 6220, 6239, 6240, 6258, 6259, 6260, 6277, 6278, 6279, 6280, 6299, 6300, 6320, 6340, 6599, 6618, 6619, 6620, 6637, 6638, 6639, 6640, 6655, 6656, 6657, 6658, 6659, 6660, 6675, 6676, 6677, 6678, 6679, 6680, 6694, 6695, 6696, 6697, 6698, 6699, 6700, 6716, 6717, 6718, 6719, 6720, 6737, 6738, 6739, 6740, 6758, 6759, 6760, 6995, 6996, 6997, 6998, 6999, 7000, 7014, 7015, 7016, 7017, 7018, 7019, 7020, 7034, 7035, 7036, 7037, 7038, 7039, 7040, 7053, 7054, 7055, 7056, 7057, 7058, 7059, 7060, 7073, 7074, 7075, 7076, 7077, 7078, 7079, 7080, 7093, 7094, 7095, 7096, 7097, 7098, 7099, 7100, 7113, 7114, 7115, 7116, 7117, 7118, 7119, 7120, 7134, 7135, 7136, 7137, 7138, 7139, 7140, 7154, 7155, 7156, 7160, 7393, 7394, 7395, 7396, 7397, 7398, 7399, 7400, 7412, 7413, 7414, 7415, 7416, 7417, 7418, 7419, 7420, 7432, 7433, 7434, 7435, 7436, 7437, 7438, 7439, 7440, 7452, 7453, 7454, 7455, 7456, 7457, 7458, 7459, 7460, 7472, 7473, 7474, 7475, 7476, 7477, 7478, 7479, 7480, 7492, 7493, 7494, 7495, 7496, 7497, 7498, 7499, 7500, 7512, 7513, 7514, 7515, 7516, 7517, 7518, 7519, 7520, 7533, 7534, 7535, 7536, 7537, 7538, 7539, 7540, 7774, 7775, 7776, 7793, 7794, 7795, 7796, 7797, 7798, 7799, 7800, 7812, 7813, 7814, 7815, 7816, 7817, 7818, 7819, 7820, 7832, 7833, 7834, 7835, 7836, 7837, 7838, 7839, 7840, 7852, 7853, 7854, 7855, 7856, 7857, 7858, 7859, 7860, 7871, 7872, 7873, 7874, 7875, 7876, 7877, 7878, 7879, 7880, 7892, 7893, 7894, 7895, 7896, 7897, 7898, 7899, 7900, 7912, 7913, 7914, 7915, 7916, 7917, 7918, 7919, 7920, 7933, 7934, 7935, 7936, 7937, 7938, 7939, 7940 *Elset, elset=Grain32_set 400, 760, 780, 799, 800, 1140, 1160, 1179, 1180, 1199, 1200, 1539, 1540, 1559, 1560, 1578, 1579, 1580, 1598, 1599, 1600, 1939, 1940, 1959, 1960, 1978, 1979, 1980, 1998, 1999, 2000, 2340, 2360, 2380, 2399, 2400 *Elset, elset=Grain33_set 18, 19, 20, 39, 40, 417, 418, 419, 420, 438, 439, 440, 459, 460, 816, 817, 818, 819, 820, 836, 837, 838, 839, 840, 856, 857, 858, 859, 860, 880, 1215, 1216, 1217, 1218, 1219, 1220, 1235, 1236, 1237, 1238, 1239, 1240, 1255, 1256, 1257, 1258, 1259, 1260, 1276, 1277, 1278, 1279, 1280, 1300, 1615, 1616, 1617, 1618, 1619, 1620, 1635, 1636, 1637, 1638, 1639, 1640, 1655, 1656, 1657, 1658, 1659, 1660, 1675, 1676, 1677, 1678, 1679, 1680, 1695, 1696, 1697, 1698, 1699, 1700, 1719, 1720, 1740, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2115, 2116, 2117, 2118, 2119, 2120, 2139, 2140, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2516, 2517, 2518, 2519, 2520, 2538, 2539, 2815, 2816, 2817, 2818, 2819, 2820, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2855, 2856, 2857, 2858, 2859, 2860, 2875, 2876, 2877, 2878, 2879, 2880, 2896, 2897, 2898, 2899, 2900, 2918, 2919, 2920, 2938, 3215, 3216, 3217, 3218, 3219, 3220, 3235, 3236, 3237, 3238, 3239, 3240, 3255, 3256, 3257, 3258, 3259, 3260, 3278, 3279, 3280, 3616, 3617, 3618, 3619, 3637, 3638 *Elset, elset=Grain34_set 4961, 4962, 4963, 4981, 4982, 4983, 4984, 4985, 5001, 5002, 5003, 5004, 5005, 5321, 5322, 5323, 5324, 5341, 5342, 5343, 5344, 5345, 5346, 5361, 5362, 5363, 5364, 5365, 5366, 5381, 5382, 5383, 5384, 5385, 5401, 5402, 5403, 5404, 5405, 5421, 5422, 5423, 5424, 5701, 5721, 5722, 5723, 5724, 5725, 5741, 5742, 5743, 5744, 5745, 5746, 5761, 5762, 5763, 5764, 5765, 5766, 5781, 5782, 5783, 5784, 5785, 5801, 5802, 5803, 5804, 5805, 5821, 5822, 5823, 5824, 6101, 6121, 6122, 6123, 6124, 6125, 6141, 6142, 6143, 6144, 6145, 6146, 6161, 6162, 6163, 6164, 6165, 6181, 6182, 6183, 6184, 6185, 6201, 6202, 6203, 6204, 6521, 6522, 6541, 6542, 6543, 6544, 6545, 6561, 6562, 6563, 6564, 6565, 6581, 6582, 6583, 6584, 6585, 6601, 6602, 6603, 6981, 6982, 6983, 6984 *Elset, elset=Grain35_set 6420, 6440, 6819, 6820, 6839, 6840, 6860, 7219, 7220, 7239, 7240, 7259, 7260, 7280, 7619, 7620, 7639, 7640, 7659, 7660, 7680 *Elset, elset=Grain36_set 6481, 6482, 6501, 6502, 6503, 6504, 6505, 6523, 6524, 6525, 6861, 6862, 6863, 6864, 6881, 6882, 6883, 6884, 6885, 6901, 6902, 6903, 6904, 6905, 6921, 6922, 6923, 6924, 6941, 6942, 6943, 6944, 6961, 6962, 6963, 6964, 7241, 7242, 7261, 7262, 7263, 7264, 7281, 7282, 7283, 7284, 7285, 7301, 7302, 7303, 7304, 7305, 7321, 7322, 7323, 7324, 7341, 7342, 7343, 7344, 7361, 7362, 7363, 7364, 7381, 7382, 7383, 7641, 7661, 7662, 7663, 7664, 7681, 7682, 7683, 7684, 7685, 7701, 7702, 7703, 7704, 7705, 7721, 7722, 7723, 7724, 7741, 7742, 7743, 7744, 7761, 7762, 7763, 7764, 7781, 7782, 7783 *Elset, elset=Grain37_set 6389, 6747, 6748, 6749, 6766, 6767, 6768, 6769, 6770, 6771, 6786, 6787, 6788, 6789, 6790, 6791, 6792, 6793, 7108, 7109, 7127, 7128, 7129, 7130, 7131, 7145, 7146, 7147, 7148, 7149, 7150, 7151, 7152, 7153, 7165, 7166, 7167, 7168, 7169, 7170, 7171, 7172, 7173, 7185, 7186, 7187, 7188, 7189, 7190, 7191, 7192, 7193, 7508, 7509, 7510, 7511, 7526, 7527, 7528, 7529, 7530, 7531, 7532, 7545, 7546, 7547, 7548, 7549, 7550, 7551, 7552, 7553, 7564, 7565, 7566, 7567, 7568, 7569, 7570, 7571, 7572, 7573, 7584, 7585, 7586, 7587, 7588, 7589, 7590, 7591, 7592, 7889, 7890, 7891, 7907, 7908, 7909, 7910, 7911, 7926, 7927, 7928, 7929, 7930, 7931, 7932, 7945, 7946, 7947, 7948, 7949, 7950, 7951, 7952, 7953, 7964, 7965, 7966, 7967, 7968, 7969, 7970, 7971, 7972, 7983, 7984, 7985, 7986, 7987, 7988, 7989, 7990, 7991, 7992 *Elset, elset=Grain38_set 2306, 2307, 2308, 2309, 2310, 2326, 2327, 2328, 2329, 2330, 2346, 2347, 2348, 2349, 2350, 2366, 2367, 2368, 2369, 2370, 2387, 2388, 2389, 2390, 2706, 2707, 2708, 2709, 2710, 2726, 2727, 2728, 2729, 2730, 2731, 2746, 2747, 2748, 2749, 2750, 2751, 2766, 2767, 2768, 2769, 2770, 2771, 2786, 2787, 2788, 2789, 2790, 3105, 3106, 3107, 3108, 3109, 3110, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3146, 3147, 3148, 3149, 3150, 3151, 3166, 3167, 3168, 3169, 3170, 3171, 3186, 3187, 3188, 3189, 3190, 3191, 3506, 3507, 3508, 3526, 3527, 3528, 3529, 3530, 3531, 3546, 3547, 3548, 3549, 3550, 3551, 3566, 3567, 3568, 3569, 3570, 3571, 3587, 3588, 3589, 3590, 3926, 3927, 3928, 3929, 3930, 3931, 3946, 3947, 3948, 3949, 3950, 3951, 3966, 3967, 3968, 3969, 3970, 3971, 3987, 3988, 3989, 3990, 4327, 4328, 4329, 4347, 4348, 4349, 4350, 4367, 4368, 4369, 4370, 4388, 4389, 4390 *Elset, elset=Grain39_set 226, 227, 228, 229, 230, 246, 247, 248, 249, 250, 267, 268, 269, 270, 287, 288, 289, 290, 606, 607, 608, 609, 610, 611, 626, 627, 628, 629, 630, 631, 646, 647, 648, 649, 650, 667, 668, 669, 670, 687, 688, 689, 690, 1006, 1007, 1008, 1009, 1010, 1011, 1026, 1027, 1028, 1029, 1030, 1031, 1046, 1047, 1048, 1049, 1050, 1051, 1066, 1067, 1068, 1069, 1070, 1088, 1406, 1407, 1408, 1409, 1410, 1426, 1427, 1428, 1429, 1430, 1431, 1446, 1447, 1448, 1449, 1450, 1451, 1466, 1467, 1468, 1469, 1470, 1471, 1806, 1807, 1808, 1809, 1810, 1826, 1827, 1828, 1829, 1830, 1831, 1846, 1847, 1848, 1849, 1850, 1851, 1866, 1867, 1868, 1869, 1870, 1871, 2206, 2207, 2226, 2227, 2228, 2246, 2247, 2268 *Elset, elset=Grain40_set 221, 222, 223, 224, 225, 241, 242, 243, 244, 245, 261, 262, 263, 264, 265, 266, 281, 282, 283, 284, 285, 286, 301, 302, 303, 304, 305, 306, 321, 322, 621, 622, 623, 624, 625, 641, 642, 643, 644, 645, 661, 662, 663, 664, 665, 666, 681, 682, 683, 684, 685, 686, 701, 702, 703, 704, 705, 721, 722, 723, 1001, 1002, 1021, 1022, 1023, 1024, 1025, 1041, 1042, 1043, 1044, 1045, 1061, 1062, 1063, 1064, 1065, 1081, 1082, 1083, 1084, 1085, 1101, 1102, 1103, 1104, 1105, 1121, 1122, 1123, 1124, 1401, 1402, 1403, 1421, 1422, 1423, 1424, 1425, 1441, 1442, 1443, 1444, 1445, 1461, 1462, 1463, 1464, 1465, 1481, 1482, 1483, 1484, 1485, 1486, 1501, 1502, 1503, 1504, 1505, 1521, 1522, 1523, 1524, 1801, 1802, 1803, 1821, 1822, 1823, 1824, 1825, 1841, 1842, 1843, 1844, 1845, 1861, 1862, 1863, 1864, 1865, 1881, 1882, 1883, 1884, 1885, 1886, 1901, 1902, 1903, 1904, 1905, 1921, 1922, 1923, 2221, 2222, 2223, 2224, 2225, 2241, 2242, 2243, 2244, 2245, 2261, 2262, 2263, 2264, 2265, 2281, 2282, 2283, 2284, 2285, 2641, 2642, 2643, 2644, 2661, 2662, 2663, 2664 *Elset, elset=Grain41_set 2895, 2917, 3275, 3276, 3277, 3294, 3295, 3296, 3297, 3298, 3315, 3316, 3317, 3318, 3319, 3336, 3337, 3338, 3636, 3655, 3656, 3657, 3674, 3675, 3676, 3677, 3678, 3693, 3694, 3695, 3696, 3697, 3698, 3714, 3715, 3716, 3717, 3718, 3719, 3735, 3736, 3737, 3738, 3757, 4016, 4035, 4036, 4054, 4055, 4056, 4057, 4074, 4075, 4076, 4077, 4093, 4094, 4095, 4096, 4097, 4098, 4113, 4114, 4115, 4116, 4117, 4118, 4119, 4134, 4135, 4136, 4137, 4138, 4139, 4156, 4157, 4158, 4435, 4454, 4455, 4456, 4473, 4474, 4475, 4476, 4477, 4493, 4494, 4495, 4496, 4497, 4498, 4512, 4513, 4514, 4515, 4516, 4517, 4518, 4533, 4534, 4535, 4536, 4537, 4538, 4539, 4555, 4556, 4557, 4558, 4559, 4577, 4578, 4815, 4834, 4835, 4854, 4855, 4856, 4873, 4874, 4875, 4876, 4877, 4893, 4894, 4895, 4896, 4897, 4913, 4914, 4915, 4916, 4917, 4918, 4933, 4934, 4935, 4936, 4937, 4938, 4939, 4954, 4955, 4956, 4957, 4958, 4959, 4976, 4977, 4978, 4979, 5215, 5234, 5235, 5254, 5255, 5256, 5273, 5274, 5275, 5276, 5293, 5294, 5295, 5296, 5297, 5313, 5314, 5315, 5316, 5317, 5318, 5333, 5334, 5335, 5336, 5337, 5338, 5339, 5353, 5354, 5355, 5356, 5357, 5358, 5359, 5656, 5675, 5676, 5694, 5695, 5696, 5697, 5714, 5715, 5716, 5717, 5718, 5734, 5735, 5736, 5737, 5738, 5739, 5754, 5755, 5756, 5757, 5758, 6076, 6096, 6135 *Elset, elset=Grain42_set 1924, 1941, 1942, 1943, 1944, 1961, 1962, 1963, 1964, 1965, 1981, 1982, 1983, 1984, 1985, 2301, 2302, 2303, 2304, 2305, 2321, 2322, 2323, 2324, 2325, 2341, 2342, 2343, 2344, 2345, 2361, 2362, 2363, 2364, 2365, 2381, 2382, 2383, 2384, 2385, 2386, 2681, 2682, 2683, 2684, 2701, 2702, 2703, 2704, 2705, 2721, 2722, 2723, 2724, 2725, 2741, 2742, 2743, 2744, 2745, 2761, 2762, 2763, 2764, 2765, 2781, 2782, 2783, 2784, 2785, 3081, 3082, 3083, 3084, 3101, 3102, 3103, 3104, 3121, 3122, 3123, 3124, 3141, 3142, 3143, 3144, 3145, 3161, 3162, 3163, 3164, 3165, 3181, 3182, 3183, 3184, 3185, 3505, 3521, 3522, 3523, 3524, 3525, 3541, 3542, 3543, 3544, 3545, 3561, 3562, 3563, 3564, 3565, 3581, 3582, 3583, 3584, 3585, 3586, 3941, 3942, 3943, 3944, 3945, 3961, 3962, 3963, 3964, 3965, 3981, 3982, 3983, 3984, 3985, 3986, 4361, 4362, 4363, 4364, 4365, 4381, 4382, 4383, 4384 *Elset, elset=Grain43_set 4529, 4530, 4889, 4890, 4891, 4892, 4907, 4908, 4909, 4910, 4911, 4912, 4927, 4928, 4929, 4930, 4931, 4948, 4949, 4950, 5249, 5250, 5251, 5268, 5269, 5270, 5271, 5272, 5288, 5289, 5290, 5291, 5292, 5307, 5308, 5309, 5310, 5311, 5312, 5327, 5328, 5329, 5330, 5331, 5332, 5347, 5348, 5349, 5350, 5351, 5352, 5369, 5370, 5371, 5630, 5631, 5649, 5650, 5651, 5668, 5669, 5670, 5671, 5672, 5687, 5688, 5689, 5690, 5691, 5692, 5693, 5707, 5708, 5709, 5710, 5711, 5712, 5713, 5726, 5727, 5728, 5729, 5730, 5731, 5732, 5733, 5747, 5748, 5749, 5750, 5751, 5752, 5753, 5769, 5770, 5771, 5772, 5791, 6029, 6048, 6049, 6050, 6067, 6068, 6069, 6070, 6071, 6087, 6088, 6089, 6090, 6091, 6092, 6107, 6108, 6109, 6110, 6111, 6112, 6113, 6126, 6127, 6128, 6129, 6130, 6131, 6132, 6133, 6147, 6148, 6149, 6150, 6151, 6152, 6153, 6154, 6169, 6170, 6171, 6172, 6448, 6449, 6467, 6468, 6469, 6470, 6487, 6488, 6489, 6490, 6491, 6506, 6507, 6508, 6509, 6510, 6511, 6512, 6526, 6527, 6528, 6529, 6530, 6531, 6532, 6533, 6546, 6547, 6548, 6549, 6550, 6551, 6552, 6553, 6554, 6569, 6570, 6571, 6572, 6591, 6849, 6868, 6869, 6887, 6888, 6889, 6890, 6908, 6909, 6910, 6911, 6928, 6929, 6930, 6931, 6932, 6949, 6950, 6951, 6952, 6969, 6970, 6971, 6972, 6991, 6992, 7289, 7290, 7309, 7310, 7330, 7331, 7332, 7350, 7351, 7352, 7371, 7372, 7391, 7392, 7689, 7690, 7710, 7730, 7731, 7732, 7751, 7752, 7772 *Elset, elset=Grain44_set 194, 195, 196, 197, 211, 212, 213, 214, 215, 216, 217, 231, 232, 233, 234, 235, 236, 237, 238, 251, 252, 253, 254, 255, 256, 257, 258, 271, 272, 273, 274, 275, 276, 277, 278, 291, 292, 293, 294, 295, 296, 297, 298, 299, 311, 312, 313, 314, 315, 316, 332, 333, 334, 335, 353, 354, 615, 616, 617, 632, 633, 634, 635, 636, 637, 651, 652, 653, 654, 655, 656, 657, 671, 672, 673, 674, 675, 676, 677, 678, 691, 692, 693, 694, 695, 696, 697, 698, 712, 713, 714, 715, 716, 732, 733, 734, 735, 753, 754, 1032, 1033, 1034, 1035, 1036, 1052, 1053, 1054, 1055, 1056, 1057, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1112, 1113, 1114, 1115, 1116, 1132, 1133, 1134, 1135, 1153, 1154, 1436, 1452, 1453, 1454, 1455, 1456, 1472, 1473, 1474, 1475, 1476, 1477, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1512, 1513, 1514, 1515, 1516, 1533, 1534, 1535, 1852, 1853, 1854, 1855, 1856, 1872, 1873, 1874, 1875, 1876, 1891, 1892, 1893, 1894, 1895, 1896, 1912, 2254, 2255, 2273, 2274 *Elset, elset=Grain45_set 101, 102, 103, 104, 121, 122, 123, 124, 125, 141, 142, 143, 144, 145, 161, 162, 163, 164, 165, 181, 182, 183, 184, 185, 201, 202, 203, 204, 205, 501, 502, 503, 504, 521, 522, 523, 524, 525, 541, 542, 543, 544, 545, 561, 562, 563, 564, 565, 581, 582, 583, 584, 585, 601, 602, 603, 604, 605, 901, 902, 903, 904, 921, 922, 923, 924, 925, 941, 942, 943, 944, 945, 961, 962, 963, 964, 965, 981, 982, 983, 984, 985, 1003, 1004, 1005, 1301, 1302, 1303, 1304, 1321, 1322, 1323, 1324, 1325, 1341, 1342, 1343, 1344, 1345, 1361, 1362, 1363, 1364, 1365, 1381, 1382, 1383, 1384, 1385, 1404, 1405, 1701, 1702, 1703, 1704, 1721, 1722, 1723, 1724, 1725, 1741, 1742, 1743, 1744, 1745, 1761, 1762, 1763, 1764, 1765, 1781, 1782, 1783, 1784, 1785, 1804, 1805 *Elset, elset=Grain46_set 5615, 5616, 6015, 6016, 6017, 6018, 6036, 6037, 6414, 6415, 6416, 6417, 6418, 6419, 6435, 6436, 6437, 6438, 6439, 6456, 6457, 6458, 6459, 6476, 6477, 6814, 6815, 6816, 6817, 6818, 6835, 6836, 6837, 6838, 6855, 6856, 6857, 6858, 6859, 6876, 6877, 6878, 6896, 7212, 7213, 7214, 7215, 7216, 7217, 7218, 7234, 7235, 7236, 7237, 7238, 7254, 7255, 7256, 7257, 7258, 7275, 7276, 7277, 7278, 7279, 7295, 7296, 7297, 7611, 7612, 7613, 7614, 7615, 7616, 7617, 7618, 7632, 7633, 7634, 7635, 7636, 7637, 7638, 7653, 7654, 7655, 7656, 7657, 7658, 7674, 7675, 7676, 7677, 7678, 7679, 7694, 7695, 7696, 7697, 7698, 7715 *Elset, elset=Grain47_set 351, 352, 369, 370, 371, 372, 373, 388, 389, 390, 391, 392, 393, 394, 751, 752, 770, 771, 772, 773, 789, 790, 791, 792, 793, 794, 1171, 1172, 1173, 1189, 1190, 1191, 1192, 1193, 1194, 1571, 1572, 1573, 1590, 1591, 1592, 1593, 1971, 1972, 1991, 1992 *Elset, elset=Grain48_set 2188, 2189, 2208, 2209, 2210, 2229, 2230, 2231, 2248, 2249, 2250, 2251, 2252, 2266, 2267, 2269, 2270, 2271, 2272, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2311, 2568, 2569, 2587, 2588, 2589, 2606, 2607, 2608, 2609, 2610, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2711, 2968, 2969, 2987, 2988, 2989, 2990, 3006, 3007, 3008, 3009, 3010, 3011, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3111, 3368, 3369, 3387, 3388, 3389, 3390, 3406, 3407, 3408, 3409, 3410, 3411, 3426, 3427, 3428, 3429, 3430, 3431, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3509, 3510, 3511, 3512, 3768, 3769, 3787, 3788, 3789, 3790, 3806, 3807, 3808, 3809, 3810, 3811, 3826, 3827, 3828, 3829, 3830, 3831, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3866, 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3907, 3908, 3909, 3910, 3911, 3912, 4168, 4169, 4187, 4188, 4189, 4190, 4206, 4207, 4208, 4209, 4210, 4211, 4226, 4227, 4228, 4229, 4230, 4231, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4286, 4287, 4288, 4289, 4290, 4291, 4292, 4293, 4307, 4308, 4309, 4310, 4311, 4312, 4330, 4331, 4568, 4587, 4588, 4589, 4606, 4607, 4608, 4609, 4610, 4626, 4627, 4628, 4629, 4630, 4631, 4646, 4647, 4648, 4649, 4650, 4651, 4652, 4666, 4667, 4668, 4669, 4670, 4671, 4672, 4673, 4989, 5007, 5008, 5009, 5010, 5027, 5028, 5029, 5030, 5031, 5047, 5048 *Elset, elset=Grain49_set 180, 198, 199, 200, 218, 219, 220, 239, 240, 259, 260, 279, 280, 579, 580, 597, 598, 599, 600, 618, 619, 620, 638, 639, 640, 658, 659, 660, 679, 680, 699, 700, 960, 979, 980, 997, 998, 999, 1000, 1017, 1018, 1019, 1020, 1037, 1038, 1039, 1040, 1058, 1059, 1060, 1078, 1079, 1080, 1098, 1099, 1100, 1359, 1360, 1378, 1379, 1380, 1397, 1398, 1399, 1400, 1417, 1418, 1419, 1420, 1437, 1438, 1439, 1440, 1457, 1458, 1459, 1460, 1478, 1479, 1480, 1498, 1499, 1500, 1520, 1759, 1760, 1778, 1779, 1780, 1797, 1798, 1799, 1800, 1817, 1818, 1819, 1820, 1837, 1838, 1839, 1840, 1857, 1858, 1859, 1860, 1877, 1878, 1879, 1880, 1897, 1898, 1899, 1900, 1920, 2158, 2159, 2160, 2178, 2179, 2180, 2197, 2198, 2199, 2200, 2217, 2218, 2219, 2220, 2236, 2237, 2238, 2239, 2240, 2256, 2257, 2258, 2259, 2260, 2277, 2278, 2279, 2280, 2299, 2300, 2579, 2580, 2598, 2599, 2600, 2617, 2618, 2619, 2620, 2637, 2638, 2639, 2640, 2657, 2658, 2659, 2660, 2678, 2679, 2680, 2700 ** ** ---------------------------------------------------------------- ** ================================================ FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase_gbels.txt ================================================ GBManhattanDistances FeatureIds 4 15 3 15 2 15 1 15 0 15 0 1 1 1 0 1 0 30 1 30 2 30 3 30 4 30 3 30 2 30 1 30 0 30 0 33 1 33 1 33 3 15 2 15 1 15 0 15 0 1 1 1 2 1 1 1 0 1 0 30 1 30 2 30 3 30 2 30 1 30 1 30 0 30 0 7 0 33 0 33 2 15 2 15 1 15 0 15 0 1 1 1 2 1 1 1 0 1 0 30 1 30 2 30 2 30 1 30 0 30 0 30 0 7 1 7 0 7 0 7 1 15 1 15 1 15 0 15 0 1 1 1 2 1 2 1 1 1 0 1 0 30 1 30 1 30 0 30 0 7 0 7 1 7 2 7 1 7 1 7 0 15 0 15 0 15 0 15 0 1 1 1 1 1 1 1 1 1 0 1 0 30 1 30 0 30 0 7 1 7 1 7 2 7 3 7 2 7 2 7 0 45 0 45 0 45 0 45 0 1 0 1 0 1 0 1 0 1 0 1 0 30 0 30 0 7 1 7 2 7 2 7 3 7 3 7 3 7 2 7 1 45 1 45 1 45 1 45 0 45 0 17 0 17 0 17 0 17 0 17 0 17 0 7 1 7 2 7 2 7 2 7 2 7 2 7 2 7 1 7 2 45 2 45 2 45 1 45 0 45 0 17 1 17 1 17 1 17 1 17 0 17 0 7 0 7 1 7 1 7 1 7 1 7 1 7 1 7 0 7 2 45 2 45 2 45 1 45 0 45 0 17 1 17 2 17 2 17 1 17 0 17 0 2 0 2 0 7 0 7 0 7 0 7 0 7 0 7 0 49 1 45 1 45 1 45 1 45 0 45 0 17 1 17 1 17 1 17 1 17 0 17 0 2 0 2 0 44 0 44 0 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20.000000 9248, 7.000000, 20.000000, 20.000000 9249, 8.000000, 20.000000, 20.000000 9250, 9.000000, 20.000000, 20.000000 9251, 10.000000, 20.000000, 20.000000 9252, 11.000000, 20.000000, 20.000000 9253, 12.000000, 20.000000, 20.000000 9254, 13.000000, 20.000000, 20.000000 9255, 14.000000, 20.000000, 20.000000 9256, 15.000000, 20.000000, 20.000000 9257, 16.000000, 20.000000, 20.000000 9258, 17.000000, 20.000000, 20.000000 9259, 18.000000, 20.000000, 20.000000 9260, 19.000000, 20.000000, 20.000000 9261, 20.000000, 20.000000, 20.000000 999999, 0.000000, 0.000000, 0.000000 ** ** ---------------------------------------------------------------- ** ================================================ FILE: Dream3D2Abaqus/Step-1 Dream3D/testcase_sects.inp ================================================ ** Generated by : ImportExport Version 6.5.163.1998a502a ** ---------------------------------------------------------------- ** ** Each section is a separate grain ** Section: Grain1 *Solid Section, elset=Grain1_set, material=Grain_Mat1 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain2 *Solid Section, elset=Grain2_set, material=Grain_Mat2 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain3 *Solid Section, elset=Grain3_set, material=Grain_Mat3 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain4 *Solid Section, elset=Grain4_set, material=Grain_Mat4 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain5 *Solid Section, elset=Grain5_set, material=Grain_Mat5 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain6 *Solid Section, elset=Grain6_set, material=Grain_Mat6 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain7 *Solid Section, elset=Grain7_set, material=Grain_Mat7 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain8 *Solid Section, elset=Grain8_set, material=Grain_Mat8 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain9 *Solid Section, elset=Grain9_set, material=Grain_Mat9 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain10 *Solid Section, elset=Grain10_set, material=Grain_Mat10 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain11 *Solid Section, elset=Grain11_set, material=Grain_Mat11 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain12 *Solid Section, elset=Grain12_set, material=Grain_Mat12 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain13 *Solid Section, elset=Grain13_set, material=Grain_Mat13 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain14 *Solid Section, elset=Grain14_set, material=Grain_Mat14 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain15 *Solid Section, elset=Grain15_set, material=Grain_Mat15 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain16 *Solid Section, elset=Grain16_set, material=Grain_Mat16 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain17 *Solid Section, elset=Grain17_set, material=Grain_Mat17 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain18 *Solid Section, elset=Grain18_set, material=Grain_Mat18 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain19 *Solid Section, elset=Grain19_set, material=Grain_Mat19 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain20 *Solid Section, elset=Grain20_set, material=Grain_Mat20 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain21 *Solid Section, elset=Grain21_set, material=Grain_Mat21 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain22 *Solid Section, elset=Grain22_set, material=Grain_Mat22 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain23 *Solid Section, elset=Grain23_set, material=Grain_Mat23 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain24 *Solid Section, elset=Grain24_set, material=Grain_Mat24 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain25 *Solid Section, elset=Grain25_set, material=Grain_Mat25 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain26 *Solid Section, elset=Grain26_set, material=Grain_Mat26 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain27 *Solid Section, elset=Grain27_set, material=Grain_Mat27 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain28 *Solid Section, elset=Grain28_set, material=Grain_Mat28 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain29 *Solid Section, elset=Grain29_set, material=Grain_Mat29 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain30 *Solid Section, elset=Grain30_set, material=Grain_Mat30 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain31 *Solid Section, elset=Grain31_set, material=Grain_Mat31 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain32 *Solid Section, elset=Grain32_set, material=Grain_Mat32 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain33 *Solid Section, elset=Grain33_set, material=Grain_Mat33 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain34 *Solid Section, elset=Grain34_set, material=Grain_Mat34 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain35 *Solid Section, elset=Grain35_set, material=Grain_Mat35 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain36 *Solid Section, elset=Grain36_set, material=Grain_Mat36 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain37 *Solid Section, elset=Grain37_set, material=Grain_Mat37 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain38 *Solid Section, elset=Grain38_set, material=Grain_Mat38 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain39 *Solid Section, elset=Grain39_set, material=Grain_Mat39 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain40 *Solid Section, elset=Grain40_set, material=Grain_Mat40 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain41 *Solid Section, elset=Grain41_set, material=Grain_Mat41 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain42 *Solid Section, elset=Grain42_set, material=Grain_Mat42 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain43 *Solid Section, elset=Grain43_set, material=Grain_Mat43 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain44 *Solid Section, elset=Grain44_set, material=Grain_Mat44 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain45 *Solid Section, elset=Grain45_set, material=Grain_Mat45 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain46 *Solid Section, elset=Grain46_set, material=Grain_Mat46 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain47 *Solid Section, elset=Grain47_set, material=Grain_Mat47 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain48 *Solid Section, elset=Grain48_set, material=Grain_Mat48 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain49 *Solid Section, elset=Grain49_set, material=Grain_Mat49 *Hourglass Stiffness 250 ** -------------------------------------- ** ** ---------------------------------------------------------------- ** ================================================ FILE: Dream3D2Abaqus/Step-2a Matlab/Dream3D2Abaqus.m ================================================ function Dream3D2Abaqus(filename,matID,noDepvar) %% Input % filename - name of the material parameter file % Set material ID: % - enter "0" to use Dream3D number output % - enter "1-10" material ID number if user defined! % Number of state variables % Number of outputs % noDepvar % The name of the excel file: % inputfile_info.xlsx % -------------------------- % Convert the Dream3D outputs to Abaqus input file % Designed for input structure of DBF_code - A UMAT subroutine for crystal % plasticity % Jan. 29th, 2022 % written by % Eralp Demir % eralp.demir@eng.ox.ac.uk % -------------------------- tic format shortg fid = fopen([filename '.vox'],'r+'); rawData = textscan(fid, '%f %f %f %f %f %f %d %d','delimiter',' '); fclose(fid); % load euler angles, coordinates, grain and phase IDs euler = cell2mat(rawData(1:3)); xyz = cell2mat(rawData(4:6)); grains = cell2mat(rawData(7)); phases = cell2mat(rawData(8)); clear max_value clear total_els %calculate the maximum value of elements and nodes max_value=max(cell2mat(rawData(4))); total_els=size(euler,1); % Material-ID materials = ones(total_els,1)*matID; [grain_order, grain_record]=unique(grains); grain_order=grain_order'; grain_record=grain_record'; phase_order=phases(grain_record); material_order=materials(grain_record); euler_angle1=euler(grain_record,1); euler_angle2=euler(grain_record,2); euler_angle3=euler(grain_record,3); % % %% Generate the rotation matrix % for ii=1:length(grain_order) % %% % %need to create the rotation matrix for each euler angle for each % %grain. This matrix is then used to rotate a global orientation to % %the what is is n the local orientation. % zrot=[cosd(euler_angle1(ii)), sind(euler_angle1(ii)), 0; -sind(euler_angle1(ii)), cosd(euler_angle1(ii)),0; 0,0,1]; % xrot=[1,0,0;0,cosd(euler_angle2(ii)),sind(euler_angle2(ii));0,-sind(euler_angle2(ii)),cosd(euler_angle2(ii))]; % zrot2=[cosd(euler_angle3(ii)),sind(euler_angle3(ii)),0;-sind(euler_angle3(ii)),cosd(euler_angle3(ii)),0;0,0,1]; % % %total rotation matrix - crystal to sample transformation % total_rot=transpose(zrot2*xrot*zrot); % % % % end format long % import node coordinates fid = fopen([filename '_nodes.inp'],'r+'); indata = textscan(fid, '%d %f %f %f', 'HeaderLines',4,'delimiter',','); fclose(fid); % Dream3D output is in micrometers - NOT converted to mm nodes = [double(indata{1,1}), indata{1,2} indata{1,3}, indata{1,4}]; nodes = nodes(1:end-1,:); % import connectivity fid = fopen([filename '_elems.inp'],'r+'); indata = textscan(fid, '%d %d %d %d %d %d %d %d %d', 'HeaderLines',4,'delimiter',','); fclose(fid); % Connectivity elem = [indata{1,1}, indata{1,2}, indata{1,3}, indata{1,4}, indata{1,5}, indata{1,6}, indata{1,7}, indata{1,8}, indata{1,9}]; %% Write the overall element and node sets to input file % open inp file and write keywords inpFile = fopen([filename '.inp'],'wt'); fprintf(inpFile,'** Generated by Dream3D and modified by: Dream3D2Abaqus.m\n'); fprintf(inpFile,'**PARTS\n**\n'); fprintf(inpFile,'*Part, name=DREAM3D\n'); % write nodes fprintf(inpFile,'*NODE\n'); fprintf(inpFile,'%d,\t%e,\t%e, \t%e\n',nodes'); % write elements fprintf(inpFile,['*Element, type=C3D8\n']); fprintf(inpFile,'%8d,%8d,%8d,%8d,%8d,%8d,%8d,%8d,%8d\n',elem'); %% Write the elements sets for each grain to the input file % create element sets containing grains for ii = 1:numel(unique(grains)) %% fprintf(inpFile,'\n*Elset, elset=GRAIN-%d\n',grain_order(ii)); fprintf(inpFile,'%d, %d, %d, %d, %d, %d, %d, %d, %d\n',elem(grains==grain_order(ii))'); numels=0; for tt=1:length(elem(grains==grain_order(ii))) %% numels=numels+1; end numels_total(grain_order(ii))=numels; end %% Write element set for each phase to input file uniPhases = unique(phases); for ii = 1:numel(unique(phases)) fprintf(inpFile,'\n*Elset, elset=Phase-%d\n',ii); fprintf(inpFile,'%d, %d, %d, %d, %d, %d, %d, %d, %d\n',elem(phases==uniPhases(ii))'); end % %% Calculate grain spherical equivalent diameter % % calulate diamater in microns % % additionally, the dimaters for each ground are written to a separate % % text file to be used to developed a grain size histogram % diameterID=fopen('diameter.txt','w'); % for ii=1:numel(unique(grains)) % %% % diameter(grain_order(ii))=((((6.0/pi)*(numels_total(grain_order(ii))))^(1/3))); % fprintf(diameterID, '%d\n', diameter(grain_order(ii))); % end % fclose(diameterID); %% write sections to each grain for ii=1:length(grain_order) %% fprintf(inpFile,'\n**Section: Section_Grain-%d\n*Solid Section, elset=GRAIN-%d, material=MATERIAL-GRAIN%d\n,\n',grain_order(ii),grain_order(ii),grain_order(ii)); end %% Continue writing the input file with assembly information % write a closing keyword fprintf(inpFile,'*End Part'); %writing assembly fprintf(inpFile,'\n**\n**ASSEMBLY\n**'); fprintf(inpFile,'\n*Assembly, name=Assembly\n**'); fprintf(inpFile,'\n*Instance, name=DREAM3D-1, part=DREAM3D\n'); % write nodes fprintf(inpFile,'*NODE\n'); fprintf(inpFile,'%d,\t%e,\t%e, \t%e\n',nodes'); % write elements fprintf(inpFile,'*Element, type=C3D8\n'); fprintf(inpFile,'%8d,%8d,%8d,%8d,%8d,%8d,%8d,%8d,%8d\n',elem'); fprintf(inpFile,'\n*End Instance\n**'); %% Closing the assembly component of the input file fprintf(inpFile,'\n*End Assembly'); fprintf(inpFile, '\n**MATERIALS\n**'); %import material parameters to be used in the development of materials %for each grain. xlRange='A1:A6'; [A16]=readmatrix('PROPS.xlsx','Sheet','Material_parameters','DataRange',xlRange); %% Finalising the input file % Flag for reading the inputs from the file or material library % "0": material library in usermaterial.f will be used % "1": use the material parameters in excel file % Are the material properties given in the excel file? % Read from excel file (if read_all_props==true) if A16(6)==0 A = strings(6,1); % Flag for reading the inputs from the file or material library % "0": material library in usermaterial.f will be used % "1": use the material parameters in excel file A(6)=0; % Number variables in DEPVAR noPROPS = 6; % Do not define anything further else A = strings(300,1); % Flag for reading the inputs from the file or material library % "0": material library in usermaterial.f will be used % "1": use the material parameters in excel file A(6)=1; % Number variables in DEPVAR % Has a fixed size - including additional space for extra variables noPROPS = 300; end for ii=1:length(grain_order) fprintf(inpFile, '\n*Material, name=MATERIAL-GRAIN%d',grain_order(ii)); fprintf(inpFile, ['\n*Depvar\n', num2str(noDepvar), ',']); fprintf(inpFile, ['\n*User Material, constants=',num2str(noPROPS),'\n']); % Euler angles A(1:3) = [euler_angle1(ii), euler_angle2(ii), euler_angle3(ii)]; % Grain - ID A(4) = grain_order(ii); % Phase - ID % IF DEFINED BY THE USER (>0) if matID>0 A(5) = material_order(ii); % Use Dream3D output else A(5) = phase_order(ii); end % % Adding the centroid information in x,y,z coordinates % A(9:11)=centroid(grain_order(ii),:); % % center element % %adding the calculated equivalent spherical diameter for each grain % A(13)=diameter(grain_order(ii)); % Read the properties from the PROPS if desired if A16(6) ==1 % Loop through all different phases for iph = 1:uniPhases % Column character (read next column for each phase) letter = char(iph+ 64); xlRange = [letter,'1:', letter, '300']; % A1-A300 [B]=readmatrix('PROPS.xlsx','Sheet','Material_parameters','DataRange',xlRange); % All parameters A(7:300) = B(7:300); end end % Printing this information to file fprintf(inpFile, '%s, %s, %s, %s, %s, %s, %s, %s\n',A); end fprintf(inpFile,'\n**'); fprintf(inpFile, '\n**\n** STEP: Loading\n**\n*Step, name=Loading, nlgeom=YES, inc=10000\n*Static\n0.01, 10., 1e-05, 1.'); fprintf(inpFile, '\n**\n** OUTPUT REQUESTS\n**'); fprintf(inpFile, '\n*Restart, write, frequency=0\n**'); fprintf(inpFile, '\n** FIELD OUTPUT: F-Output-1\n**\n*Output, field, variable=PRESELECT\n**'); if noDepvar>0 fprintf(inpFile, '\n** FIELD OUTPUT: F-Output-2\n**\n*Element Output, directions=YES\nSDV,\n**'); end fprintf(inpFile, '\n** HISTORY OUTPUT: H-Output-1\n**\n*Output, history, variable=PRESELECT\n**'); fprintf(inpFile, '\n*End Step'); % close the file fclose(inpFile); toc return end ================================================ FILE: Dream3D2Abaqus/Step-2a Matlab/testcase.inp ================================================ ** Generated by Dream3D and modified by: Dream3D2Abaqus.m **PARTS ** *Part, name=DREAM3D *NODE 1, 0.000000e+00, 0.000000e+00, 0.000000e+00 2, 1.000000e+00, 0.000000e+00, 0.000000e+00 3, 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1.000000e+01 1278, 1.000000e+00, 6.000000e+00, 1.000000e+01 1279, 2.000000e+00, 6.000000e+00, 1.000000e+01 1280, 3.000000e+00, 6.000000e+00, 1.000000e+01 1281, 4.000000e+00, 6.000000e+00, 1.000000e+01 1282, 5.000000e+00, 6.000000e+00, 1.000000e+01 1283, 6.000000e+00, 6.000000e+00, 1.000000e+01 1284, 7.000000e+00, 6.000000e+00, 1.000000e+01 1285, 8.000000e+00, 6.000000e+00, 1.000000e+01 1286, 9.000000e+00, 6.000000e+00, 1.000000e+01 1287, 1.000000e+01, 6.000000e+00, 1.000000e+01 1288, 0.000000e+00, 7.000000e+00, 1.000000e+01 1289, 1.000000e+00, 7.000000e+00, 1.000000e+01 1290, 2.000000e+00, 7.000000e+00, 1.000000e+01 1291, 3.000000e+00, 7.000000e+00, 1.000000e+01 1292, 4.000000e+00, 7.000000e+00, 1.000000e+01 1293, 5.000000e+00, 7.000000e+00, 1.000000e+01 1294, 6.000000e+00, 7.000000e+00, 1.000000e+01 1295, 7.000000e+00, 7.000000e+00, 1.000000e+01 1296, 8.000000e+00, 7.000000e+00, 1.000000e+01 1297, 9.000000e+00, 7.000000e+00, 1.000000e+01 1298, 1.000000e+01, 7.000000e+00, 1.000000e+01 1299, 0.000000e+00, 8.000000e+00, 1.000000e+01 1300, 1.000000e+00, 8.000000e+00, 1.000000e+01 1301, 2.000000e+00, 8.000000e+00, 1.000000e+01 1302, 3.000000e+00, 8.000000e+00, 1.000000e+01 1303, 4.000000e+00, 8.000000e+00, 1.000000e+01 1304, 5.000000e+00, 8.000000e+00, 1.000000e+01 1305, 6.000000e+00, 8.000000e+00, 1.000000e+01 1306, 7.000000e+00, 8.000000e+00, 1.000000e+01 1307, 8.000000e+00, 8.000000e+00, 1.000000e+01 1308, 9.000000e+00, 8.000000e+00, 1.000000e+01 1309, 1.000000e+01, 8.000000e+00, 1.000000e+01 1310, 0.000000e+00, 9.000000e+00, 1.000000e+01 1311, 1.000000e+00, 9.000000e+00, 1.000000e+01 1312, 2.000000e+00, 9.000000e+00, 1.000000e+01 1313, 3.000000e+00, 9.000000e+00, 1.000000e+01 1314, 4.000000e+00, 9.000000e+00, 1.000000e+01 1315, 5.000000e+00, 9.000000e+00, 1.000000e+01 1316, 6.000000e+00, 9.000000e+00, 1.000000e+01 1317, 7.000000e+00, 9.000000e+00, 1.000000e+01 1318, 8.000000e+00, 9.000000e+00, 1.000000e+01 1319, 9.000000e+00, 9.000000e+00, 1.000000e+01 1320, 1.000000e+01, 9.000000e+00, 1.000000e+01 1321, 0.000000e+00, 1.000000e+01, 1.000000e+01 1322, 1.000000e+00, 1.000000e+01, 1.000000e+01 1323, 2.000000e+00, 1.000000e+01, 1.000000e+01 1324, 3.000000e+00, 1.000000e+01, 1.000000e+01 1325, 4.000000e+00, 1.000000e+01, 1.000000e+01 1326, 5.000000e+00, 1.000000e+01, 1.000000e+01 1327, 6.000000e+00, 1.000000e+01, 1.000000e+01 1328, 7.000000e+00, 1.000000e+01, 1.000000e+01 1329, 8.000000e+00, 1.000000e+01, 1.000000e+01 1330, 9.000000e+00, 1.000000e+01, 1.000000e+01 1331, 1.000000e+01, 1.000000e+01, 1.000000e+01 *Element, type=C3D8 1, 123, 2, 1, 122, 134, 13, 12, 133 2, 124, 3, 2, 123, 135, 14, 13, 134 3, 125, 4, 3, 124, 136, 15, 14, 135 4, 126, 5, 4, 125, 137, 16, 15, 136 5, 127, 6, 5, 126, 138, 17, 16, 137 6, 128, 7, 6, 127, 139, 18, 17, 138 7, 129, 8, 7, 128, 140, 19, 18, 139 8, 130, 9, 8, 129, 141, 20, 19, 140 9, 131, 10, 9, 130, 142, 21, 20, 141 10, 132, 11, 10, 131, 143, 22, 21, 142 11, 134, 13, 12, 133, 145, 24, 23, 144 12, 135, 14, 13, 134, 146, 25, 24, 145 13, 136, 15, 14, 135, 147, 26, 25, 146 14, 137, 16, 15, 136, 148, 27, 26, 147 15, 138, 17, 16, 137, 149, 28, 27, 148 16, 139, 18, 17, 138, 150, 29, 28, 149 17, 140, 19, 18, 139, 151, 30, 29, 150 18, 141, 20, 19, 140, 152, 31, 30, 151 19, 142, 21, 20, 141, 153, 32, 31, 152 20, 143, 22, 21, 142, 154, 33, 32, 153 21, 145, 24, 23, 144, 156, 35, 34, 155 22, 146, 25, 24, 145, 157, 36, 35, 156 23, 147, 26, 25, 146, 158, 37, 36, 157 24, 148, 27, 26, 147, 159, 38, 37, 158 25, 149, 28, 27, 148, 160, 39, 38, 159 26, 150, 29, 28, 149, 161, 40, 39, 160 27, 151, 30, 29, 150, 162, 41, 40, 161 28, 152, 31, 30, 151, 163, 42, 41, 162 29, 153, 32, 31, 152, 164, 43, 42, 163 30, 154, 33, 32, 153, 165, 44, 43, 164 31, 156, 35, 34, 155, 167, 46, 45, 166 32, 157, 36, 35, 156, 168, 47, 46, 167 33, 158, 37, 36, 157, 169, 48, 47, 168 34, 159, 38, 37, 158, 170, 49, 48, 169 35, 160, 39, 38, 159, 171, 50, 49, 170 36, 161, 40, 39, 160, 172, 51, 50, 171 37, 162, 41, 40, 161, 173, 52, 51, 172 38, 163, 42, 41, 162, 174, 53, 52, 173 39, 164, 43, 42, 163, 175, 54, 53, 174 40, 165, 44, 43, 164, 176, 55, 54, 175 41, 167, 46, 45, 166, 178, 57, 56, 177 42, 168, 47, 46, 167, 179, 58, 57, 178 43, 169, 48, 47, 168, 180, 59, 58, 179 44, 170, 49, 48, 169, 181, 60, 59, 180 45, 171, 50, 49, 170, 182, 61, 60, 181 46, 172, 51, 50, 171, 183, 62, 61, 182 47, 173, 52, 51, 172, 184, 63, 62, 183 48, 174, 53, 52, 173, 185, 64, 63, 184 49, 175, 54, 53, 174, 186, 65, 64, 185 50, 176, 55, 54, 175, 187, 66, 65, 186 51, 178, 57, 56, 177, 189, 68, 67, 188 52, 179, 58, 57, 178, 190, 69, 68, 189 53, 180, 59, 58, 179, 191, 70, 69, 190 54, 181, 60, 59, 180, 192, 71, 70, 191 55, 182, 61, 60, 181, 193, 72, 71, 192 56, 183, 62, 61, 182, 194, 73, 72, 193 57, 184, 63, 62, 183, 195, 74, 73, 194 58, 185, 64, 63, 184, 196, 75, 74, 195 59, 186, 65, 64, 185, 197, 76, 75, 196 60, 187, 66, 65, 186, 198, 77, 76, 197 61, 189, 68, 67, 188, 200, 79, 78, 199 62, 190, 69, 68, 189, 201, 80, 79, 200 63, 191, 70, 69, 190, 202, 81, 80, 201 64, 192, 71, 70, 191, 203, 82, 81, 202 65, 193, 72, 71, 192, 204, 83, 82, 203 66, 194, 73, 72, 193, 205, 84, 83, 204 67, 195, 74, 73, 194, 206, 85, 84, 205 68, 196, 75, 74, 195, 207, 86, 85, 206 69, 197, 76, 75, 196, 208, 87, 86, 207 70, 198, 77, 76, 197, 209, 88, 87, 208 71, 200, 79, 78, 199, 211, 90, 89, 210 72, 201, 80, 79, 200, 212, 91, 90, 211 73, 202, 81, 80, 201, 213, 92, 91, 212 74, 203, 82, 81, 202, 214, 93, 92, 213 75, 204, 83, 82, 203, 215, 94, 93, 214 76, 205, 84, 83, 204, 216, 95, 94, 215 77, 206, 85, 84, 205, 217, 96, 95, 216 78, 207, 86, 85, 206, 218, 97, 96, 217 79, 208, 87, 86, 207, 219, 98, 97, 218 80, 209, 88, 87, 208, 220, 99, 98, 219 81, 211, 90, 89, 210, 222, 101, 100, 221 82, 212, 91, 90, 211, 223, 102, 101, 222 83, 213, 92, 91, 212, 224, 103, 102, 223 84, 214, 93, 92, 213, 225, 104, 103, 224 85, 215, 94, 93, 214, 226, 105, 104, 225 86, 216, 95, 94, 215, 227, 106, 105, 226 87, 217, 96, 95, 216, 228, 107, 106, 227 88, 218, 97, 96, 217, 229, 108, 107, 228 89, 219, 98, 97, 218, 230, 109, 108, 229 90, 220, 99, 98, 219, 231, 110, 109, 230 91, 222, 101, 100, 221, 233, 112, 111, 232 92, 223, 102, 101, 222, 234, 113, 112, 233 93, 224, 103, 102, 223, 235, 114, 113, 234 94, 225, 104, 103, 224, 236, 115, 114, 235 95, 226, 105, 104, 225, 237, 116, 115, 236 96, 227, 106, 105, 226, 238, 117, 116, 237 97, 228, 107, 106, 227, 239, 118, 117, 238 98, 229, 108, 107, 228, 240, 119, 118, 239 99, 230, 109, 108, 229, 241, 120, 119, 240 100, 231, 110, 109, 230, 242, 121, 120, 241 101, 244, 123, 122, 243, 255, 134, 133, 254 102, 245, 124, 123, 244, 256, 135, 134, 255 103, 246, 125, 124, 245, 257, 136, 135, 256 104, 247, 126, 125, 246, 258, 137, 136, 257 105, 248, 127, 126, 247, 259, 138, 137, 258 106, 249, 128, 127, 248, 260, 139, 138, 259 107, 250, 129, 128, 249, 261, 140, 139, 260 108, 251, 130, 129, 250, 262, 141, 140, 261 109, 252, 131, 130, 251, 263, 142, 141, 262 110, 253, 132, 131, 252, 264, 143, 142, 263 111, 255, 134, 133, 254, 266, 145, 144, 265 112, 256, 135, 134, 255, 267, 146, 145, 266 113, 257, 136, 135, 256, 268, 147, 146, 267 114, 258, 137, 136, 257, 269, 148, 147, 268 115, 259, 138, 137, 258, 270, 149, 148, 269 116, 260, 139, 138, 259, 271, 150, 149, 270 117, 261, 140, 139, 260, 272, 151, 150, 271 118, 262, 141, 140, 261, 273, 152, 151, 272 119, 263, 142, 141, 262, 274, 153, 152, 273 120, 264, 143, 142, 263, 275, 154, 153, 274 121, 266, 145, 144, 265, 277, 156, 155, 276 122, 267, 146, 145, 266, 278, 157, 156, 277 123, 268, 147, 146, 267, 279, 158, 157, 278 124, 269, 148, 147, 268, 280, 159, 158, 279 125, 270, 149, 148, 269, 281, 160, 159, 280 126, 271, 150, 149, 270, 282, 161, 160, 281 127, 272, 151, 150, 271, 283, 162, 161, 282 128, 273, 152, 151, 272, 284, 163, 162, 283 129, 274, 153, 152, 273, 285, 164, 163, 284 130, 275, 154, 153, 274, 286, 165, 164, 285 131, 277, 156, 155, 276, 288, 167, 166, 287 132, 278, 157, 156, 277, 289, 168, 167, 288 133, 279, 158, 157, 278, 290, 169, 168, 289 134, 280, 159, 158, 279, 291, 170, 169, 290 135, 281, 160, 159, 280, 292, 171, 170, 291 136, 282, 161, 160, 281, 293, 172, 171, 292 137, 283, 162, 161, 282, 294, 173, 172, 293 138, 284, 163, 162, 283, 295, 174, 173, 294 139, 285, 164, 163, 284, 296, 175, 174, 295 140, 286, 165, 164, 285, 297, 176, 175, 296 141, 288, 167, 166, 287, 299, 178, 177, 298 142, 289, 168, 167, 288, 300, 179, 178, 299 143, 290, 169, 168, 289, 301, 180, 179, 300 144, 291, 170, 169, 290, 302, 181, 180, 301 145, 292, 171, 170, 291, 303, 182, 181, 302 146, 293, 172, 171, 292, 304, 183, 182, 303 147, 294, 173, 172, 293, 305, 184, 183, 304 148, 295, 174, 173, 294, 306, 185, 184, 305 149, 296, 175, 174, 295, 307, 186, 185, 306 150, 297, 176, 175, 296, 308, 187, 186, 307 151, 299, 178, 177, 298, 310, 189, 188, 309 152, 300, 179, 178, 299, 311, 190, 189, 310 153, 301, 180, 179, 300, 312, 191, 190, 311 154, 302, 181, 180, 301, 313, 192, 191, 312 155, 303, 182, 181, 302, 314, 193, 192, 313 156, 304, 183, 182, 303, 315, 194, 193, 314 157, 305, 184, 183, 304, 316, 195, 194, 315 158, 306, 185, 184, 305, 317, 196, 195, 316 159, 307, 186, 185, 306, 318, 197, 196, 317 160, 308, 187, 186, 307, 319, 198, 197, 318 161, 310, 189, 188, 309, 321, 200, 199, 320 162, 311, 190, 189, 310, 322, 201, 200, 321 163, 312, 191, 190, 311, 323, 202, 201, 322 164, 313, 192, 191, 312, 324, 203, 202, 323 165, 314, 193, 192, 313, 325, 204, 203, 324 166, 315, 194, 193, 314, 326, 205, 204, 325 167, 316, 195, 194, 315, 327, 206, 205, 326 168, 317, 196, 195, 316, 328, 207, 206, 327 169, 318, 197, 196, 317, 329, 208, 207, 328 170, 319, 198, 197, 318, 330, 209, 208, 329 171, 321, 200, 199, 320, 332, 211, 210, 331 172, 322, 201, 200, 321, 333, 212, 211, 332 173, 323, 202, 201, 322, 334, 213, 212, 333 174, 324, 203, 202, 323, 335, 214, 213, 334 175, 325, 204, 203, 324, 336, 215, 214, 335 176, 326, 205, 204, 325, 337, 216, 215, 336 177, 327, 206, 205, 326, 338, 217, 216, 337 178, 328, 207, 206, 327, 339, 218, 217, 338 179, 329, 208, 207, 328, 340, 219, 218, 339 180, 330, 209, 208, 329, 341, 220, 219, 340 181, 332, 211, 210, 331, 343, 222, 221, 342 182, 333, 212, 211, 332, 344, 223, 222, 343 183, 334, 213, 212, 333, 345, 224, 223, 344 184, 335, 214, 213, 334, 346, 225, 224, 345 185, 336, 215, 214, 335, 347, 226, 225, 346 186, 337, 216, 215, 336, 348, 227, 226, 347 187, 338, 217, 216, 337, 349, 228, 227, 348 188, 339, 218, 217, 338, 350, 229, 228, 349 189, 340, 219, 218, 339, 351, 230, 229, 350 190, 341, 220, 219, 340, 352, 231, 230, 351 191, 343, 222, 221, 342, 354, 233, 232, 353 192, 344, 223, 222, 343, 355, 234, 233, 354 193, 345, 224, 223, 344, 356, 235, 234, 355 194, 346, 225, 224, 345, 357, 236, 235, 356 195, 347, 226, 225, 346, 358, 237, 236, 357 196, 348, 227, 226, 347, 359, 238, 237, 358 197, 349, 228, 227, 348, 360, 239, 238, 359 198, 350, 229, 228, 349, 361, 240, 239, 360 199, 351, 230, 229, 350, 362, 241, 240, 361 200, 352, 231, 230, 351, 363, 242, 241, 362 201, 365, 244, 243, 364, 376, 255, 254, 375 202, 366, 245, 244, 365, 377, 256, 255, 376 203, 367, 246, 245, 366, 378, 257, 256, 377 204, 368, 247, 246, 367, 379, 258, 257, 378 205, 369, 248, 247, 368, 380, 259, 258, 379 206, 370, 249, 248, 369, 381, 260, 259, 380 207, 371, 250, 249, 370, 382, 261, 260, 381 208, 372, 251, 250, 371, 383, 262, 261, 382 209, 373, 252, 251, 372, 384, 263, 262, 383 210, 374, 253, 252, 373, 385, 264, 263, 384 211, 376, 255, 254, 375, 387, 266, 265, 386 212, 377, 256, 255, 376, 388, 267, 266, 387 213, 378, 257, 256, 377, 389, 268, 267, 388 214, 379, 258, 257, 378, 390, 269, 268, 389 215, 380, 259, 258, 379, 391, 270, 269, 390 216, 381, 260, 259, 380, 392, 271, 270, 391 217, 382, 261, 260, 381, 393, 272, 271, 392 218, 383, 262, 261, 382, 394, 273, 272, 393 219, 384, 263, 262, 383, 395, 274, 273, 394 220, 385, 264, 263, 384, 396, 275, 274, 395 221, 387, 266, 265, 386, 398, 277, 276, 397 222, 388, 267, 266, 387, 399, 278, 277, 398 223, 389, 268, 267, 388, 400, 279, 278, 399 224, 390, 269, 268, 389, 401, 280, 279, 400 225, 391, 270, 269, 390, 402, 281, 280, 401 226, 392, 271, 270, 391, 403, 282, 281, 402 227, 393, 272, 271, 392, 404, 283, 282, 403 228, 394, 273, 272, 393, 405, 284, 283, 404 229, 395, 274, 273, 394, 406, 285, 284, 405 230, 396, 275, 274, 395, 407, 286, 285, 406 231, 398, 277, 276, 397, 409, 288, 287, 408 232, 399, 278, 277, 398, 410, 289, 288, 409 233, 400, 279, 278, 399, 411, 290, 289, 410 234, 401, 280, 279, 400, 412, 291, 290, 411 235, 402, 281, 280, 401, 413, 292, 291, 412 236, 403, 282, 281, 402, 414, 293, 292, 413 237, 404, 283, 282, 403, 415, 294, 293, 414 238, 405, 284, 283, 404, 416, 295, 294, 415 239, 406, 285, 284, 405, 417, 296, 295, 416 240, 407, 286, 285, 406, 418, 297, 296, 417 241, 409, 288, 287, 408, 420, 299, 298, 419 242, 410, 289, 288, 409, 421, 300, 299, 420 243, 411, 290, 289, 410, 422, 301, 300, 421 244, 412, 291, 290, 411, 423, 302, 301, 422 245, 413, 292, 291, 412, 424, 303, 302, 423 246, 414, 293, 292, 413, 425, 304, 303, 424 247, 415, 294, 293, 414, 426, 305, 304, 425 248, 416, 295, 294, 415, 427, 306, 305, 426 249, 417, 296, 295, 416, 428, 307, 306, 427 250, 418, 297, 296, 417, 429, 308, 307, 428 251, 420, 299, 298, 419, 431, 310, 309, 430 252, 421, 300, 299, 420, 432, 311, 310, 431 253, 422, 301, 300, 421, 433, 312, 311, 432 254, 423, 302, 301, 422, 434, 313, 312, 433 255, 424, 303, 302, 423, 435, 314, 313, 434 256, 425, 304, 303, 424, 436, 315, 314, 435 257, 426, 305, 304, 425, 437, 316, 315, 436 258, 427, 306, 305, 426, 438, 317, 316, 437 259, 428, 307, 306, 427, 439, 318, 317, 438 260, 429, 308, 307, 428, 440, 319, 318, 439 261, 431, 310, 309, 430, 442, 321, 320, 441 262, 432, 311, 310, 431, 443, 322, 321, 442 263, 433, 312, 311, 432, 444, 323, 322, 443 264, 434, 313, 312, 433, 445, 324, 323, 444 265, 435, 314, 313, 434, 446, 325, 324, 445 266, 436, 315, 314, 435, 447, 326, 325, 446 267, 437, 316, 315, 436, 448, 327, 326, 447 268, 438, 317, 316, 437, 449, 328, 327, 448 269, 439, 318, 317, 438, 450, 329, 328, 449 270, 440, 319, 318, 439, 451, 330, 329, 450 271, 442, 321, 320, 441, 453, 332, 331, 452 272, 443, 322, 321, 442, 454, 333, 332, 453 273, 444, 323, 322, 443, 455, 334, 333, 454 274, 445, 324, 323, 444, 456, 335, 334, 455 275, 446, 325, 324, 445, 457, 336, 335, 456 276, 447, 326, 325, 446, 458, 337, 336, 457 277, 448, 327, 326, 447, 459, 338, 337, 458 278, 449, 328, 327, 448, 460, 339, 338, 459 279, 450, 329, 328, 449, 461, 340, 339, 460 280, 451, 330, 329, 450, 462, 341, 340, 461 281, 453, 332, 331, 452, 464, 343, 342, 463 282, 454, 333, 332, 453, 465, 344, 343, 464 283, 455, 334, 333, 454, 466, 345, 344, 465 284, 456, 335, 334, 455, 467, 346, 345, 466 285, 457, 336, 335, 456, 468, 347, 346, 467 286, 458, 337, 336, 457, 469, 348, 347, 468 287, 459, 338, 337, 458, 470, 349, 348, 469 288, 460, 339, 338, 459, 471, 350, 349, 470 289, 461, 340, 339, 460, 472, 351, 350, 471 290, 462, 341, 340, 461, 473, 352, 351, 472 291, 464, 343, 342, 463, 475, 354, 353, 474 292, 465, 344, 343, 464, 476, 355, 354, 475 293, 466, 345, 344, 465, 477, 356, 355, 476 294, 467, 346, 345, 466, 478, 357, 356, 477 295, 468, 347, 346, 467, 479, 358, 357, 478 296, 469, 348, 347, 468, 480, 359, 358, 479 297, 470, 349, 348, 469, 481, 360, 359, 480 298, 471, 350, 349, 470, 482, 361, 360, 481 299, 472, 351, 350, 471, 483, 362, 361, 482 300, 473, 352, 351, 472, 484, 363, 362, 483 301, 486, 365, 364, 485, 497, 376, 375, 496 302, 487, 366, 365, 486, 498, 377, 376, 497 303, 488, 367, 366, 487, 499, 378, 377, 498 304, 489, 368, 367, 488, 500, 379, 378, 499 305, 490, 369, 368, 489, 501, 380, 379, 500 306, 491, 370, 369, 490, 502, 381, 380, 501 307, 492, 371, 370, 491, 503, 382, 381, 502 308, 493, 372, 371, 492, 504, 383, 382, 503 309, 494, 373, 372, 493, 505, 384, 383, 504 310, 495, 374, 373, 494, 506, 385, 384, 505 311, 497, 376, 375, 496, 508, 387, 386, 507 312, 498, 377, 376, 497, 509, 388, 387, 508 313, 499, 378, 377, 498, 510, 389, 388, 509 314, 500, 379, 378, 499, 511, 390, 389, 510 315, 501, 380, 379, 500, 512, 391, 390, 511 316, 502, 381, 380, 501, 513, 392, 391, 512 317, 503, 382, 381, 502, 514, 393, 392, 513 318, 504, 383, 382, 503, 515, 394, 393, 514 319, 505, 384, 383, 504, 516, 395, 394, 515 320, 506, 385, 384, 505, 517, 396, 395, 516 321, 508, 387, 386, 507, 519, 398, 397, 518 322, 509, 388, 387, 508, 520, 399, 398, 519 323, 510, 389, 388, 509, 521, 400, 399, 520 324, 511, 390, 389, 510, 522, 401, 400, 521 325, 512, 391, 390, 511, 523, 402, 401, 522 326, 513, 392, 391, 512, 524, 403, 402, 523 327, 514, 393, 392, 513, 525, 404, 403, 524 328, 515, 394, 393, 514, 526, 405, 404, 525 329, 516, 395, 394, 515, 527, 406, 405, 526 330, 517, 396, 395, 516, 528, 407, 406, 527 331, 519, 398, 397, 518, 530, 409, 408, 529 332, 520, 399, 398, 519, 531, 410, 409, 530 333, 521, 400, 399, 520, 532, 411, 410, 531 334, 522, 401, 400, 521, 533, 412, 411, 532 335, 523, 402, 401, 522, 534, 413, 412, 533 336, 524, 403, 402, 523, 535, 414, 413, 534 337, 525, 404, 403, 524, 536, 415, 414, 535 338, 526, 405, 404, 525, 537, 416, 415, 536 339, 527, 406, 405, 526, 538, 417, 416, 537 340, 528, 407, 406, 527, 539, 418, 417, 538 341, 530, 409, 408, 529, 541, 420, 419, 540 342, 531, 410, 409, 530, 542, 421, 420, 541 343, 532, 411, 410, 531, 543, 422, 421, 542 344, 533, 412, 411, 532, 544, 423, 422, 543 345, 534, 413, 412, 533, 545, 424, 423, 544 346, 535, 414, 413, 534, 546, 425, 424, 545 347, 536, 415, 414, 535, 547, 426, 425, 546 348, 537, 416, 415, 536, 548, 427, 426, 547 349, 538, 417, 416, 537, 549, 428, 427, 548 350, 539, 418, 417, 538, 550, 429, 428, 549 351, 541, 420, 419, 540, 552, 431, 430, 551 352, 542, 421, 420, 541, 553, 432, 431, 552 353, 543, 422, 421, 542, 554, 433, 432, 553 354, 544, 423, 422, 543, 555, 434, 433, 554 355, 545, 424, 423, 544, 556, 435, 434, 555 356, 546, 425, 424, 545, 557, 436, 435, 556 357, 547, 426, 425, 546, 558, 437, 436, 557 358, 548, 427, 426, 547, 559, 438, 437, 558 359, 549, 428, 427, 548, 560, 439, 438, 559 360, 550, 429, 428, 549, 561, 440, 439, 560 361, 552, 431, 430, 551, 563, 442, 441, 562 362, 553, 432, 431, 552, 564, 443, 442, 563 363, 554, 433, 432, 553, 565, 444, 443, 564 364, 555, 434, 433, 554, 566, 445, 444, 565 365, 556, 435, 434, 555, 567, 446, 445, 566 366, 557, 436, 435, 556, 568, 447, 446, 567 367, 558, 437, 436, 557, 569, 448, 447, 568 368, 559, 438, 437, 558, 570, 449, 448, 569 369, 560, 439, 438, 559, 571, 450, 449, 570 370, 561, 440, 439, 560, 572, 451, 450, 571 371, 563, 442, 441, 562, 574, 453, 452, 573 372, 564, 443, 442, 563, 575, 454, 453, 574 373, 565, 444, 443, 564, 576, 455, 454, 575 374, 566, 445, 444, 565, 577, 456, 455, 576 375, 567, 446, 445, 566, 578, 457, 456, 577 376, 568, 447, 446, 567, 579, 458, 457, 578 377, 569, 448, 447, 568, 580, 459, 458, 579 378, 570, 449, 448, 569, 581, 460, 459, 580 379, 571, 450, 449, 570, 582, 461, 460, 581 380, 572, 451, 450, 571, 583, 462, 461, 582 381, 574, 453, 452, 573, 585, 464, 463, 584 382, 575, 454, 453, 574, 586, 465, 464, 585 383, 576, 455, 454, 575, 587, 466, 465, 586 384, 577, 456, 455, 576, 588, 467, 466, 587 385, 578, 457, 456, 577, 589, 468, 467, 588 386, 579, 458, 457, 578, 590, 469, 468, 589 387, 580, 459, 458, 579, 591, 470, 469, 590 388, 581, 460, 459, 580, 592, 471, 470, 591 389, 582, 461, 460, 581, 593, 472, 471, 592 390, 583, 462, 461, 582, 594, 473, 472, 593 391, 585, 464, 463, 584, 596, 475, 474, 595 392, 586, 465, 464, 585, 597, 476, 475, 596 393, 587, 466, 465, 586, 598, 477, 476, 597 394, 588, 467, 466, 587, 599, 478, 477, 598 395, 589, 468, 467, 588, 600, 479, 478, 599 396, 590, 469, 468, 589, 601, 480, 479, 600 397, 591, 470, 469, 590, 602, 481, 480, 601 398, 592, 471, 470, 591, 603, 482, 481, 602 399, 593, 472, 471, 592, 604, 483, 482, 603 400, 594, 473, 472, 593, 605, 484, 483, 604 401, 607, 486, 485, 606, 618, 497, 496, 617 402, 608, 487, 486, 607, 619, 498, 497, 618 403, 609, 488, 487, 608, 620, 499, 498, 619 404, 610, 489, 488, 609, 621, 500, 499, 620 405, 611, 490, 489, 610, 622, 501, 500, 621 406, 612, 491, 490, 611, 623, 502, 501, 622 407, 613, 492, 491, 612, 624, 503, 502, 623 408, 614, 493, 492, 613, 625, 504, 503, 624 409, 615, 494, 493, 614, 626, 505, 504, 625 410, 616, 495, 494, 615, 627, 506, 505, 626 411, 618, 497, 496, 617, 629, 508, 507, 628 412, 619, 498, 497, 618, 630, 509, 508, 629 413, 620, 499, 498, 619, 631, 510, 509, 630 414, 621, 500, 499, 620, 632, 511, 510, 631 415, 622, 501, 500, 621, 633, 512, 511, 632 416, 623, 502, 501, 622, 634, 513, 512, 633 417, 624, 503, 502, 623, 635, 514, 513, 634 418, 625, 504, 503, 624, 636, 515, 514, 635 419, 626, 505, 504, 625, 637, 516, 515, 636 420, 627, 506, 505, 626, 638, 517, 516, 637 421, 629, 508, 507, 628, 640, 519, 518, 639 422, 630, 509, 508, 629, 641, 520, 519, 640 423, 631, 510, 509, 630, 642, 521, 520, 641 424, 632, 511, 510, 631, 643, 522, 521, 642 425, 633, 512, 511, 632, 644, 523, 522, 643 426, 634, 513, 512, 633, 645, 524, 523, 644 427, 635, 514, 513, 634, 646, 525, 524, 645 428, 636, 515, 514, 635, 647, 526, 525, 646 429, 637, 516, 515, 636, 648, 527, 526, 647 430, 638, 517, 516, 637, 649, 528, 527, 648 431, 640, 519, 518, 639, 651, 530, 529, 650 432, 641, 520, 519, 640, 652, 531, 530, 651 433, 642, 521, 520, 641, 653, 532, 531, 652 434, 643, 522, 521, 642, 654, 533, 532, 653 435, 644, 523, 522, 643, 655, 534, 533, 654 436, 645, 524, 523, 644, 656, 535, 534, 655 437, 646, 525, 524, 645, 657, 536, 535, 656 438, 647, 526, 525, 646, 658, 537, 536, 657 439, 648, 527, 526, 647, 659, 538, 537, 658 440, 649, 528, 527, 648, 660, 539, 538, 659 441, 651, 530, 529, 650, 662, 541, 540, 661 442, 652, 531, 530, 651, 663, 542, 541, 662 443, 653, 532, 531, 652, 664, 543, 542, 663 444, 654, 533, 532, 653, 665, 544, 543, 664 445, 655, 534, 533, 654, 666, 545, 544, 665 446, 656, 535, 534, 655, 667, 546, 545, 666 447, 657, 536, 535, 656, 668, 547, 546, 667 448, 658, 537, 536, 657, 669, 548, 547, 668 449, 659, 538, 537, 658, 670, 549, 548, 669 450, 660, 539, 538, 659, 671, 550, 549, 670 451, 662, 541, 540, 661, 673, 552, 551, 672 452, 663, 542, 541, 662, 674, 553, 552, 673 453, 664, 543, 542, 663, 675, 554, 553, 674 454, 665, 544, 543, 664, 676, 555, 554, 675 455, 666, 545, 544, 665, 677, 556, 555, 676 456, 667, 546, 545, 666, 678, 557, 556, 677 457, 668, 547, 546, 667, 679, 558, 557, 678 458, 669, 548, 547, 668, 680, 559, 558, 679 459, 670, 549, 548, 669, 681, 560, 559, 680 460, 671, 550, 549, 670, 682, 561, 560, 681 461, 673, 552, 551, 672, 684, 563, 562, 683 462, 674, 553, 552, 673, 685, 564, 563, 684 463, 675, 554, 553, 674, 686, 565, 564, 685 464, 676, 555, 554, 675, 687, 566, 565, 686 465, 677, 556, 555, 676, 688, 567, 566, 687 466, 678, 557, 556, 677, 689, 568, 567, 688 467, 679, 558, 557, 678, 690, 569, 568, 689 468, 680, 559, 558, 679, 691, 570, 569, 690 469, 681, 560, 559, 680, 692, 571, 570, 691 470, 682, 561, 560, 681, 693, 572, 571, 692 471, 684, 563, 562, 683, 695, 574, 573, 694 472, 685, 564, 563, 684, 696, 575, 574, 695 473, 686, 565, 564, 685, 697, 576, 575, 696 474, 687, 566, 565, 686, 698, 577, 576, 697 475, 688, 567, 566, 687, 699, 578, 577, 698 476, 689, 568, 567, 688, 700, 579, 578, 699 477, 690, 569, 568, 689, 701, 580, 579, 700 478, 691, 570, 569, 690, 702, 581, 580, 701 479, 692, 571, 570, 691, 703, 582, 581, 702 480, 693, 572, 571, 692, 704, 583, 582, 703 481, 695, 574, 573, 694, 706, 585, 584, 705 482, 696, 575, 574, 695, 707, 586, 585, 706 483, 697, 576, 575, 696, 708, 587, 586, 707 484, 698, 577, 576, 697, 709, 588, 587, 708 485, 699, 578, 577, 698, 710, 589, 588, 709 486, 700, 579, 578, 699, 711, 590, 589, 710 487, 701, 580, 579, 700, 712, 591, 590, 711 488, 702, 581, 580, 701, 713, 592, 591, 712 489, 703, 582, 581, 702, 714, 593, 592, 713 490, 704, 583, 582, 703, 715, 594, 593, 714 491, 706, 585, 584, 705, 717, 596, 595, 716 492, 707, 586, 585, 706, 718, 597, 596, 717 493, 708, 587, 586, 707, 719, 598, 597, 718 494, 709, 588, 587, 708, 720, 599, 598, 719 495, 710, 589, 588, 709, 721, 600, 599, 720 496, 711, 590, 589, 710, 722, 601, 600, 721 497, 712, 591, 590, 711, 723, 602, 601, 722 498, 713, 592, 591, 712, 724, 603, 602, 723 499, 714, 593, 592, 713, 725, 604, 603, 724 500, 715, 594, 593, 714, 726, 605, 604, 725 501, 728, 607, 606, 727, 739, 618, 617, 738 502, 729, 608, 607, 728, 740, 619, 618, 739 503, 730, 609, 608, 729, 741, 620, 619, 740 504, 731, 610, 609, 730, 742, 621, 620, 741 505, 732, 611, 610, 731, 743, 622, 621, 742 506, 733, 612, 611, 732, 744, 623, 622, 743 507, 734, 613, 612, 733, 745, 624, 623, 744 508, 735, 614, 613, 734, 746, 625, 624, 745 509, 736, 615, 614, 735, 747, 626, 625, 746 510, 737, 616, 615, 736, 748, 627, 626, 747 511, 739, 618, 617, 738, 750, 629, 628, 749 512, 740, 619, 618, 739, 751, 630, 629, 750 513, 741, 620, 619, 740, 752, 631, 630, 751 514, 742, 621, 620, 741, 753, 632, 631, 752 515, 743, 622, 621, 742, 754, 633, 632, 753 516, 744, 623, 622, 743, 755, 634, 633, 754 517, 745, 624, 623, 744, 756, 635, 634, 755 518, 746, 625, 624, 745, 757, 636, 635, 756 519, 747, 626, 625, 746, 758, 637, 636, 757 520, 748, 627, 626, 747, 759, 638, 637, 758 521, 750, 629, 628, 749, 761, 640, 639, 760 522, 751, 630, 629, 750, 762, 641, 640, 761 523, 752, 631, 630, 751, 763, 642, 641, 762 524, 753, 632, 631, 752, 764, 643, 642, 763 525, 754, 633, 632, 753, 765, 644, 643, 764 526, 755, 634, 633, 754, 766, 645, 644, 765 527, 756, 635, 634, 755, 767, 646, 645, 766 528, 757, 636, 635, 756, 768, 647, 646, 767 529, 758, 637, 636, 757, 769, 648, 647, 768 530, 759, 638, 637, 758, 770, 649, 648, 769 531, 761, 640, 639, 760, 772, 651, 650, 771 532, 762, 641, 640, 761, 773, 652, 651, 772 533, 763, 642, 641, 762, 774, 653, 652, 773 534, 764, 643, 642, 763, 775, 654, 653, 774 535, 765, 644, 643, 764, 776, 655, 654, 775 536, 766, 645, 644, 765, 777, 656, 655, 776 537, 767, 646, 645, 766, 778, 657, 656, 777 538, 768, 647, 646, 767, 779, 658, 657, 778 539, 769, 648, 647, 768, 780, 659, 658, 779 540, 770, 649, 648, 769, 781, 660, 659, 780 541, 772, 651, 650, 771, 783, 662, 661, 782 542, 773, 652, 651, 772, 784, 663, 662, 783 543, 774, 653, 652, 773, 785, 664, 663, 784 544, 775, 654, 653, 774, 786, 665, 664, 785 545, 776, 655, 654, 775, 787, 666, 665, 786 546, 777, 656, 655, 776, 788, 667, 666, 787 547, 778, 657, 656, 777, 789, 668, 667, 788 548, 779, 658, 657, 778, 790, 669, 668, 789 549, 780, 659, 658, 779, 791, 670, 669, 790 550, 781, 660, 659, 780, 792, 671, 670, 791 551, 783, 662, 661, 782, 794, 673, 672, 793 552, 784, 663, 662, 783, 795, 674, 673, 794 553, 785, 664, 663, 784, 796, 675, 674, 795 554, 786, 665, 664, 785, 797, 676, 675, 796 555, 787, 666, 665, 786, 798, 677, 676, 797 556, 788, 667, 666, 787, 799, 678, 677, 798 557, 789, 668, 667, 788, 800, 679, 678, 799 558, 790, 669, 668, 789, 801, 680, 679, 800 559, 791, 670, 669, 790, 802, 681, 680, 801 560, 792, 671, 670, 791, 803, 682, 681, 802 561, 794, 673, 672, 793, 805, 684, 683, 804 562, 795, 674, 673, 794, 806, 685, 684, 805 563, 796, 675, 674, 795, 807, 686, 685, 806 564, 797, 676, 675, 796, 808, 687, 686, 807 565, 798, 677, 676, 797, 809, 688, 687, 808 566, 799, 678, 677, 798, 810, 689, 688, 809 567, 800, 679, 678, 799, 811, 690, 689, 810 568, 801, 680, 679, 800, 812, 691, 690, 811 569, 802, 681, 680, 801, 813, 692, 691, 812 570, 803, 682, 681, 802, 814, 693, 692, 813 571, 805, 684, 683, 804, 816, 695, 694, 815 572, 806, 685, 684, 805, 817, 696, 695, 816 573, 807, 686, 685, 806, 818, 697, 696, 817 574, 808, 687, 686, 807, 819, 698, 697, 818 575, 809, 688, 687, 808, 820, 699, 698, 819 576, 810, 689, 688, 809, 821, 700, 699, 820 577, 811, 690, 689, 810, 822, 701, 700, 821 578, 812, 691, 690, 811, 823, 702, 701, 822 579, 813, 692, 691, 812, 824, 703, 702, 823 580, 814, 693, 692, 813, 825, 704, 703, 824 581, 816, 695, 694, 815, 827, 706, 705, 826 582, 817, 696, 695, 816, 828, 707, 706, 827 583, 818, 697, 696, 817, 829, 708, 707, 828 584, 819, 698, 697, 818, 830, 709, 708, 829 585, 820, 699, 698, 819, 831, 710, 709, 830 586, 821, 700, 699, 820, 832, 711, 710, 831 587, 822, 701, 700, 821, 833, 712, 711, 832 588, 823, 702, 701, 822, 834, 713, 712, 833 589, 824, 703, 702, 823, 835, 714, 713, 834 590, 825, 704, 703, 824, 836, 715, 714, 835 591, 827, 706, 705, 826, 838, 717, 716, 837 592, 828, 707, 706, 827, 839, 718, 717, 838 593, 829, 708, 707, 828, 840, 719, 718, 839 594, 830, 709, 708, 829, 841, 720, 719, 840 595, 831, 710, 709, 830, 842, 721, 720, 841 596, 832, 711, 710, 831, 843, 722, 721, 842 597, 833, 712, 711, 832, 844, 723, 722, 843 598, 834, 713, 712, 833, 845, 724, 723, 844 599, 835, 714, 713, 834, 846, 725, 724, 845 600, 836, 715, 714, 835, 847, 726, 725, 846 601, 849, 728, 727, 848, 860, 739, 738, 859 602, 850, 729, 728, 849, 861, 740, 739, 860 603, 851, 730, 729, 850, 862, 741, 740, 861 604, 852, 731, 730, 851, 863, 742, 741, 862 605, 853, 732, 731, 852, 864, 743, 742, 863 606, 854, 733, 732, 853, 865, 744, 743, 864 607, 855, 734, 733, 854, 866, 745, 744, 865 608, 856, 735, 734, 855, 867, 746, 745, 866 609, 857, 736, 735, 856, 868, 747, 746, 867 610, 858, 737, 736, 857, 869, 748, 747, 868 611, 860, 739, 738, 859, 871, 750, 749, 870 612, 861, 740, 739, 860, 872, 751, 750, 871 613, 862, 741, 740, 861, 873, 752, 751, 872 614, 863, 742, 741, 862, 874, 753, 752, 873 615, 864, 743, 742, 863, 875, 754, 753, 874 616, 865, 744, 743, 864, 876, 755, 754, 875 617, 866, 745, 744, 865, 877, 756, 755, 876 618, 867, 746, 745, 866, 878, 757, 756, 877 619, 868, 747, 746, 867, 879, 758, 757, 878 620, 869, 748, 747, 868, 880, 759, 758, 879 621, 871, 750, 749, 870, 882, 761, 760, 881 622, 872, 751, 750, 871, 883, 762, 761, 882 623, 873, 752, 751, 872, 884, 763, 762, 883 624, 874, 753, 752, 873, 885, 764, 763, 884 625, 875, 754, 753, 874, 886, 765, 764, 885 626, 876, 755, 754, 875, 887, 766, 765, 886 627, 877, 756, 755, 876, 888, 767, 766, 887 628, 878, 757, 756, 877, 889, 768, 767, 888 629, 879, 758, 757, 878, 890, 769, 768, 889 630, 880, 759, 758, 879, 891, 770, 769, 890 631, 882, 761, 760, 881, 893, 772, 771, 892 632, 883, 762, 761, 882, 894, 773, 772, 893 633, 884, 763, 762, 883, 895, 774, 773, 894 634, 885, 764, 763, 884, 896, 775, 774, 895 635, 886, 765, 764, 885, 897, 776, 775, 896 636, 887, 766, 765, 886, 898, 777, 776, 897 637, 888, 767, 766, 887, 899, 778, 777, 898 638, 889, 768, 767, 888, 900, 779, 778, 899 639, 890, 769, 768, 889, 901, 780, 779, 900 640, 891, 770, 769, 890, 902, 781, 780, 901 641, 893, 772, 771, 892, 904, 783, 782, 903 642, 894, 773, 772, 893, 905, 784, 783, 904 643, 895, 774, 773, 894, 906, 785, 784, 905 644, 896, 775, 774, 895, 907, 786, 785, 906 645, 897, 776, 775, 896, 908, 787, 786, 907 646, 898, 777, 776, 897, 909, 788, 787, 908 647, 899, 778, 777, 898, 910, 789, 788, 909 648, 900, 779, 778, 899, 911, 790, 789, 910 649, 901, 780, 779, 900, 912, 791, 790, 911 650, 902, 781, 780, 901, 913, 792, 791, 912 651, 904, 783, 782, 903, 915, 794, 793, 914 652, 905, 784, 783, 904, 916, 795, 794, 915 653, 906, 785, 784, 905, 917, 796, 795, 916 654, 907, 786, 785, 906, 918, 797, 796, 917 655, 908, 787, 786, 907, 919, 798, 797, 918 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823, 822, 943 679, 934, 813, 812, 933, 945, 824, 823, 944 680, 935, 814, 813, 934, 946, 825, 824, 945 681, 937, 816, 815, 936, 948, 827, 826, 947 682, 938, 817, 816, 937, 949, 828, 827, 948 683, 939, 818, 817, 938, 950, 829, 828, 949 684, 940, 819, 818, 939, 951, 830, 829, 950 685, 941, 820, 819, 940, 952, 831, 830, 951 686, 942, 821, 820, 941, 953, 832, 831, 952 687, 943, 822, 821, 942, 954, 833, 832, 953 688, 944, 823, 822, 943, 955, 834, 833, 954 689, 945, 824, 823, 944, 956, 835, 834, 955 690, 946, 825, 824, 945, 957, 836, 835, 956 691, 948, 827, 826, 947, 959, 838, 837, 958 692, 949, 828, 827, 948, 960, 839, 838, 959 693, 950, 829, 828, 949, 961, 840, 839, 960 694, 951, 830, 829, 950, 962, 841, 840, 961 695, 952, 831, 830, 951, 963, 842, 841, 962 696, 953, 832, 831, 952, 964, 843, 842, 963 697, 954, 833, 832, 953, 965, 844, 843, 964 698, 955, 834, 833, 954, 966, 845, 844, 965 699, 956, 835, 834, 955, 967, 846, 845, 966 700, 957, 836, 835, 956, 968, 847, 846, 967 701, 970, 849, 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930, 929, 1050 766, 1041, 920, 919, 1040, 1052, 931, 930, 1051 767, 1042, 921, 920, 1041, 1053, 932, 931, 1052 768, 1043, 922, 921, 1042, 1054, 933, 932, 1053 769, 1044, 923, 922, 1043, 1055, 934, 933, 1054 770, 1045, 924, 923, 1044, 1056, 935, 934, 1055 771, 1047, 926, 925, 1046, 1058, 937, 936, 1057 772, 1048, 927, 926, 1047, 1059, 938, 937, 1058 773, 1049, 928, 927, 1048, 1060, 939, 938, 1059 774, 1050, 929, 928, 1049, 1061, 940, 939, 1060 775, 1051, 930, 929, 1050, 1062, 941, 940, 1061 776, 1052, 931, 930, 1051, 1063, 942, 941, 1062 777, 1053, 932, 931, 1052, 1064, 943, 942, 1063 778, 1054, 933, 932, 1053, 1065, 944, 943, 1064 779, 1055, 934, 933, 1054, 1066, 945, 944, 1065 780, 1056, 935, 934, 1055, 1067, 946, 945, 1066 781, 1058, 937, 936, 1057, 1069, 948, 947, 1068 782, 1059, 938, 937, 1058, 1070, 949, 948, 1069 783, 1060, 939, 938, 1059, 1071, 950, 949, 1070 784, 1061, 940, 939, 1060, 1072, 951, 950, 1071 785, 1062, 941, 940, 1061, 1073, 952, 951, 1072 786, 1063, 942, 941, 1062, 1074, 953, 952, 1073 787, 1064, 943, 942, 1063, 1075, 954, 953, 1074 788, 1065, 944, 943, 1064, 1076, 955, 954, 1075 789, 1066, 945, 944, 1065, 1077, 956, 955, 1076 790, 1067, 946, 945, 1066, 1078, 957, 956, 1077 791, 1069, 948, 947, 1068, 1080, 959, 958, 1079 792, 1070, 949, 948, 1069, 1081, 960, 959, 1080 793, 1071, 950, 949, 1070, 1082, 961, 960, 1081 794, 1072, 951, 950, 1071, 1083, 962, 961, 1082 795, 1073, 952, 951, 1072, 1084, 963, 962, 1083 796, 1074, 953, 952, 1073, 1085, 964, 963, 1084 797, 1075, 954, 953, 1074, 1086, 965, 964, 1085 798, 1076, 955, 954, 1075, 1087, 966, 965, 1086 799, 1077, 956, 955, 1076, 1088, 967, 966, 1087 800, 1078, 957, 956, 1077, 1089, 968, 967, 1088 801, 1091, 970, 969, 1090, 1102, 981, 980, 1101 802, 1092, 971, 970, 1091, 1103, 982, 981, 1102 803, 1093, 972, 971, 1092, 1104, 983, 982, 1103 804, 1094, 973, 972, 1093, 1105, 984, 983, 1104 805, 1095, 974, 973, 1094, 1106, 985, 984, 1105 806, 1096, 975, 974, 1095, 1107, 986, 985, 1106 807, 1097, 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1061, 1182, 1194, 1073, 1072, 1193 886, 1184, 1063, 1062, 1183, 1195, 1074, 1073, 1194 887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195 888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196 889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197 890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198 891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200 892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201 893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202 894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203 895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204 896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205 897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206 898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207 899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208 900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209 901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222 902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223 903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224 904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225 905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226 906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227 907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228 908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229 909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230 910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231 911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233 912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234 913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235 914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236 915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237 916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238 917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239 918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240 919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241 920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242 921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244 922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245 923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246 924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247 925, 1238, 1117, 1116, 1237, 1249, 1128, 1127, 1248 926, 1239, 1118, 1117, 1238, 1250, 1129, 1128, 1249 927, 1240, 1119, 1118, 1239, 1251, 1130, 1129, 1250 928, 1241, 1120, 1119, 1240, 1252, 1131, 1130, 1251 929, 1242, 1121, 1120, 1241, 1253, 1132, 1131, 1252 930, 1243, 1122, 1121, 1242, 1254, 1133, 1132, 1253 931, 1245, 1124, 1123, 1244, 1256, 1135, 1134, 1255 932, 1246, 1125, 1124, 1245, 1257, 1136, 1135, 1256 933, 1247, 1126, 1125, 1246, 1258, 1137, 1136, 1257 934, 1248, 1127, 1126, 1247, 1259, 1138, 1137, 1258 935, 1249, 1128, 1127, 1248, 1260, 1139, 1138, 1259 936, 1250, 1129, 1128, 1249, 1261, 1140, 1139, 1260 937, 1251, 1130, 1129, 1250, 1262, 1141, 1140, 1261 938, 1252, 1131, 1130, 1251, 1263, 1142, 1141, 1262 939, 1253, 1132, 1131, 1252, 1264, 1143, 1142, 1263 940, 1254, 1133, 1132, 1253, 1265, 1144, 1143, 1264 941, 1256, 1135, 1134, 1255, 1267, 1146, 1145, 1266 942, 1257, 1136, 1135, 1256, 1268, 1147, 1146, 1267 943, 1258, 1137, 1136, 1257, 1269, 1148, 1147, 1268 944, 1259, 1138, 1137, 1258, 1270, 1149, 1148, 1269 945, 1260, 1139, 1138, 1259, 1271, 1150, 1149, 1270 946, 1261, 1140, 1139, 1260, 1272, 1151, 1150, 1271 947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272 948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273 949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274 950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275 951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277 952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278 953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279 954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280 955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281 956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282 957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283 958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284 959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285 960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286 961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288 962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289 963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290 964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291 965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292 966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293 967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294 968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295 969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296 970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297 971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299 972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300 973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301 974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302 975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303 976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304 977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305 978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306 979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307 980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308 981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310 982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311 983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312 984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313 985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314 986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315 987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316 988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317 989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318 990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319 991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321 992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322 993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323 994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324 995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325 996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326 997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327 998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328 999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329 1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330 *Elset, elset=GRAIN-1 505, 506, 515, 516, 604, 605, 606, 607, 608 609, 613, 614, 615, 616, 617, 618, 624, 625 626, 627, 635, 636, 702, 703, 704, 705, 706 707, 708, 709, 710, 712, 713, 714, 715, 716 717, 718, 719, 720, 722, 723, 724, 725, 726 727, 728, 729, 730, 734, 735, 736, 737, 738 739, 801, 802, 803, 804, 805, 806, 807, 808 809, 810, 811, 812, 813, 814, 815, 816, 817 818, 819, 820, 821, 822, 823, 824, 825, 826 827, 828, 829, 830, 833, 834, 835, 836, 837 838, 839, 840, 845, 846, 847, 848, 849, 901 902, 903, 904, 905, 906, 907, 908, 909, 910 911, 912, 913, 914, 915, 916, 917, 918, 919 920, 921, 922, 923, 924, 925, 926, 927, 928 929, 930, 931, 932, 933, 934, 935, 936, 937 938, 939, 940, 944, 945, 946, 947, 948, 949 950, *Elset, elset=GRAIN-2 35, 36, 37, 44, 45, 46, 47, 48, 54 55, 56, 57, 58, 59, 60, 64, 65, 66 67, 68, 69, 70, 74, 75, 76, 77, 78 79, 80, 83, 84, 85, 86, 87, 88, 89 90, 93, 94, 95, 96, 97, 98, 99, 100 135, 144, 145, 146, 147, 148, 154, 155, 156 157, 158, 159, 160, 164, 165, 166, 167, 168 169, 170, 174, 175, 176, 177, 178, 179, 180 184, 185, 186, 187, 188, 189, 190, 194, 195 196, 197, 198, 199, 200, 244, 245, 246, 247 254, 255, 256, 257, 258, 259, 264, 265, 266 267, 268, 269, 270, 274, 275, 276, 277, 278 279, 280, 284, 285, 286, 287, 288, 289, 290 295, 296, 297, 298, 299, 344, 345, 346, 354 355, 356, 357, 358, 359, 364, 365, 366, 367 368, 369, 375, 376, 377, 378, 379, 385, 386 387, 388, 397, 446, 456, 457, 458, 459, 466 467, 468, 476, 477, *Elset, elset=GRAIN-3 193, 293, 294, 374, 383, 384, 391, 392, 393 394, 395, 396, 443, 444, 445, 453, 454, 455 463, 464, 465, 473, 474, 475, 481, 482, 483 484, 485, 486, 491, 492, 493, 494, 495, 496 534, 535, 541, 542, 543, 544, 545, 546, 551 552, 553, 554, 555, 556, 557, 561, 562, 563 564, 565, 566, 567, 571, 572, 573, 574, 575 576, 577, 581, 582, 583, 584, 585, 586, 587 591, 592, 593, 594, 595, 596, 631, 632, 633 634, 641, 642, 643, 644, 645, 646, 647, 651 652, 653, 654, 655, 656, 657, 661, 662, 663 664, 665, 666, 667, 671, 672, 673, 674, 675 676, 677, 681, 682, 683, 684, 685, 686, 687 691, 692, 693, 694, 695, 696, 697, 731, 732 733, 741, 742, 743, 744, 745, 746, 747, 751 752, 753, 754, 755, 756, 757, 761, 762, 763 764, 765, 766, 767, 771, 772, 773, 774, 775 776, 777, 781, 782, 783, 784, 785, 786, 787 791, 792, 793, 794, 795, 796, 797, 831, 832 841, 842, 843, 844, 851, 852, 853, 854, 855 856, 857, 861, 862, 863, 864, 865, 866, 867 871, 872, 873, 874, 875, 876, 877, 881, 882 883, 884, 885, 886, 887, 891, 892, 893, 894 895, 896, 897, 941, 942, 943, 951, 952, 953 954, 955, 956, 957, 961, 962, 963, 964, 965 966, 967, 971, 972, 973, 974, 975, 976, 977 981, 982, 983, 984, 985, 986, 987, 991, 992 993, 994, 995, 996, 997, *Elset, elset=GRAIN-4 1, 2, 3, 4, 5, 11, 12, 13, 14 15, 21, 22, 23, 24, 25, 31, 32, 33 34, 42, 43, 101, 102, 103, 104, 105, 111 112, 113, 114, 115, 121, 122, 123, 124, 125 131, 132, 133, 134, 142, 143, 201, 202, 203 204, 205, 211, 212, 213, 214, 215, 221, 222 223, 224, 225, 231, 232, 233, 234, 301, 302 303, 304, 305, 311, 312, 313, 314, 315, 321 322, 323, 324, 331, 332, 333, 334, 401, 402 403, 404, 405, 411, 412, 413, 414, 415, 421 422, 423, 424, 431, 432, 433, 434, 501, 502 503, 504, 511, 512, 513, 514, 521, 522, 523 524, 531, 532, 533, 601, 602, 603, 611, 612 621, 622, 623, 701, 711, 721, *Elset, elset=GRAIN-5 6, 7, 8, 9, 10, 16, 17, 18, 19 20, 26, 27, 28, 29, 30, 38, 39, 40 49, 50, 106, 107, 108, 109, 110, 116, 117 118, 119, 120, 126, 127, 128, 129, 130, 136 137, 138, 139, 140, 149, 150, 206, 207, 208 209, 210, 216, 217, 218, 219, 220, 226, 227 228, 229, 230, 235, 236, 237, 238, 239, 240 248, 249, 250, 260, 306, 307, 308, 309, 310 316, 317, 318, 319, 320, 325, 326, 327, 328 329, 330, 335, 336, 337, 338, 339, 340, 347 348, 349, 350, 360, 406, 407, 408, 409, 410 416, 417, 418, 419, 420, 425, 426, 427, 428 429, 430, 435, 436, 437, 438, 439, 440, 447 448, 449, 450, 507, 508, 509, 510, 517, 518 519, 520, 525, 526, 527, 528, 529, 530, 536 537, 538, 539, 540, 547, 548, 549, 550, 610 619, 620, 628, 629, 630, 637, 638, 639, 640 648, 740, *Elset, elset=GRAIN-6 300, 370, 380, 389, 390, 398, 399, 400, 460 469, 470, 478, 479, 480, 487, 488, 489, 490 497, 498, 499, 500, 558, 559, 560, 568, 569 570, 578, 579, 580, 588, 589, 590, 597, 598 599, 600, 649, 650, 658, 659, 660, 668, 669 670, 678, 679, 680, 688, 689, 690, 698, 699 700, 748, 749, 750, 758, 759, 760, 768, 769 770, 778, 779, 780, 788, 789, 790, 798, 799 800, 850, 858, 859, 860, 868, 869, 870, 878 879, 880, 888, 889, 890, 898, 899, 900, 958 959, 960, 968, 969, 970, 978, 979, 980, 988 989, 990, 998, 999, 1000, *Elset, elset=GRAIN-7 41, 51, 52, 53, 61, 62, 63, 71, 72 73, 81, 82, 91, 92, 141, 151, 152, 153 161, 162, 163, 171, 172, 173, 181, 182, 183 191, 192, 241, 242, 243, 251, 252, 253, 261 262, 263, 271, 272, 273, 281, 282, 283, 291 292, 341, 342, 343, 351, 352, 353, 361, 362 363, 371, 372, 373, 381, 382, 441, 442, 451 452, 461, 462, 471, 472, *Elset, elset=Phase-1 1, 2, 3, 4, 5, 6, 7, 8, 9 10, 11, 12, 13, 14, 15, 16, 17, 18 19, 20, 21, 22, 23, 24, 25, 26, 27 28, 29, 30, 31, 32, 33, 34, 35, 36 37, 38, 39, 40, 41, 42, 43, 44, 45 46, 47, 48, 49, 50, 51, 52, 53, 54 55, 56, 57, 58, 59, 60, 61, 62, 63 64, 65, 66, 67, 68, 69, 70, 71, 72 73, 74, 75, 76, 77, 78, 79, 80, 81 82, 83, 84, 85, 86, 87, 88, 89, 90 91, 92, 93, 94, 95, 96, 97, 98, 99 100, 101, 102, 103, 104, 105, 106, 107, 108 109, 110, 111, 112, 113, 114, 115, 116, 117 118, 119, 120, 121, 122, 123, 124, 125, 126 127, 128, 129, 130, 131, 132, 133, 134, 135 136, 137, 138, 139, 140, 141, 142, 143, 144 145, 146, 147, 148, 149, 150, 151, 152, 153 154, 155, 156, 157, 158, 159, 160, 161, 162 163, 164, 165, 166, 167, 168, 169, 170, 171 172, 173, 174, 175, 176, 177, 178, 179, 180 181, 182, 183, 184, 185, 186, 187, 188, 189 190, 191, 192, 193, 194, 195, 196, 197, 198 199, 200, 201, 202, 203, 204, 205, 206, 207 208, 209, 210, 211, 212, 213, 214, 215, 216 217, 218, 219, 220, 221, 222, 223, 224, 225 226, 227, 228, 229, 230, 231, 232, 233, 234 235, 236, 237, 238, 239, 240, 241, 242, 243 244, 245, 246, 247, 248, 249, 250, 251, 252 253, 254, 255, 256, 257, 258, 259, 260, 261 262, 263, 264, 265, 266, 267, 268, 269, 270 271, 272, 273, 274, 275, 276, 277, 278, 279 280, 281, 282, 283, 284, 285, 286, 287, 288 289, 290, 291, 292, 293, 294, 295, 296, 297 298, 299, 300, 301, 302, 303, 304, 305, 306 307, 308, 309, 310, 311, 312, 313, 314, 315 316, 317, 318, 319, 320, 321, 322, 323, 324 325, 326, 327, 328, 329, 330, 331, 332, 333 334, 335, 336, 337, 338, 339, 340, 341, 342 343, 344, 345, 346, 347, 348, 349, 350, 351 352, 353, 354, 355, 356, 357, 358, 359, 360 361, 362, 363, 364, 365, 366, 367, 368, 369 370, 371, 372, 373, 374, 375, 376, 377, 378 379, 380, 381, 382, 383, 384, 385, 386, 387 388, 389, 390, 391, 392, 393, 394, 395, 396 397, 398, 399, 400, 401, 402, 403, 404, 405 406, 407, 408, 409, 410, 411, 412, 413, 414 415, 416, 417, 418, 419, 420, 421, 422, 423 424, 425, 426, 427, 428, 429, 430, 431, 432 433, 434, 435, 436, 437, 438, 439, 440, 441 442, 443, 444, 445, 446, 447, 448, 449, 450 451, 452, 453, 454, 455, 456, 457, 458, 459 460, 461, 462, 463, 464, 465, 466, 467, 468 469, 470, 471, 472, 473, 474, 475, 476, 477 478, 479, 480, 481, 482, 483, 484, 485, 486 487, 488, 489, 490, 491, 492, 493, 494, 495 496, 497, 498, 499, 500, 501, 502, 503, 504 505, 506, 507, 508, 509, 510, 511, 512, 513 514, 515, 516, 517, 518, 519, 520, 521, 522 523, 524, 525, 526, 527, 528, 529, 530, 531 532, 533, 534, 535, 536, 537, 538, 539, 540 541, 542, 543, 544, 545, 546, 547, 548, 549 550, 551, 552, 553, 554, 555, 556, 557, 558 559, 560, 561, 562, 563, 564, 565, 566, 567 568, 569, 570, 571, 572, 573, 574, 575, 576 577, 578, 579, 580, 581, 582, 583, 584, 585 586, 587, 588, 589, 590, 591, 592, 593, 594 595, 596, 597, 598, 599, 600, 601, 602, 603 604, 605, 606, 607, 608, 609, 610, 611, 612 613, 614, 615, 616, 617, 618, 619, 620, 621 622, 623, 624, 625, 626, 627, 628, 629, 630 631, 632, 633, 634, 635, 636, 637, 638, 639 640, 641, 642, 643, 644, 645, 646, 647, 648 649, 650, 651, 652, 653, 654, 655, 656, 657 658, 659, 660, 661, 662, 663, 664, 665, 666 667, 668, 669, 670, 671, 672, 673, 674, 675 676, 677, 678, 679, 680, 681, 682, 683, 684 685, 686, 687, 688, 689, 690, 691, 692, 693 694, 695, 696, 697, 698, 699, 700, 701, 702 703, 704, 705, 706, 707, 708, 709, 710, 711 712, 713, 714, 715, 716, 717, 718, 719, 720 721, 722, 723, 724, 725, 726, 727, 728, 729 730, 731, 732, 733, 734, 735, 736, 737, 738 739, 740, 741, 742, 743, 744, 745, 746, 747 748, 749, 750, 751, 752, 753, 754, 755, 756 757, 758, 759, 760, 761, 762, 763, 764, 765 766, 767, 768, 769, 770, 771, 772, 773, 774 775, 776, 777, 778, 779, 780, 781, 782, 783 784, 785, 786, 787, 788, 789, 790, 791, 792 793, 794, 795, 796, 797, 798, 799, 800, 801 802, 803, 804, 805, 806, 807, 808, 809, 810 811, 812, 813, 814, 815, 816, 817, 818, 819 820, 821, 822, 823, 824, 825, 826, 827, 828 829, 830, 831, 832, 833, 834, 835, 836, 837 838, 839, 840, 841, 842, 843, 844, 845, 846 847, 848, 849, 850, 851, 852, 853, 854, 855 856, 857, 858, 859, 860, 861, 862, 863, 864 865, 866, 867, 868, 869, 870, 871, 872, 873 874, 875, 876, 877, 878, 879, 880, 881, 882 883, 884, 885, 886, 887, 888, 889, 890, 891 892, 893, 894, 895, 896, 897, 898, 899, 900 901, 902, 903, 904, 905, 906, 907, 908, 909 910, 911, 912, 913, 914, 915, 916, 917, 918 919, 920, 921, 922, 923, 924, 925, 926, 927 928, 929, 930, 931, 932, 933, 934, 935, 936 937, 938, 939, 940, 941, 942, 943, 944, 945 946, 947, 948, 949, 950, 951, 952, 953, 954 955, 956, 957, 958, 959, 960, 961, 962, 963 964, 965, 966, 967, 968, 969, 970, 971, 972 973, 974, 975, 976, 977, 978, 979, 980, 981 982, 983, 984, 985, 986, 987, 988, 989, 990 991, 992, 993, 994, 995, 996, 997, 998, 999 1000, **Section: Section_Grain-1 *Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1 , **Section: Section_Grain-2 *Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2 , **Section: Section_Grain-3 *Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3 , **Section: Section_Grain-4 *Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4 , **Section: Section_Grain-5 *Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5 , **Section: Section_Grain-6 *Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6 , **Section: Section_Grain-7 *Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7 , *End Part ** **ASSEMBLY ** *Assembly, name=Assembly ** *Instance, name=DREAM3D-1, part=DREAM3D *NODE 1, 0.000000e+00, 0.000000e+00, 0.000000e+00 2, 1.000000e+00, 0.000000e+00, 0.000000e+00 3, 2.000000e+00, 0.000000e+00, 0.000000e+00 4, 3.000000e+00, 0.000000e+00, 0.000000e+00 5, 4.000000e+00, 0.000000e+00, 0.000000e+00 6, 5.000000e+00, 0.000000e+00, 0.000000e+00 7, 6.000000e+00, 0.000000e+00, 0.000000e+00 8, 7.000000e+00, 0.000000e+00, 0.000000e+00 9, 8.000000e+00, 0.000000e+00, 0.000000e+00 10, 9.000000e+00, 0.000000e+00, 0.000000e+00 11, 1.000000e+01, 0.000000e+00, 0.000000e+00 12, 0.000000e+00, 1.000000e+00, 0.000000e+00 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3.000000e+00, 1.000000e+01 1245, 1.000000e+00, 3.000000e+00, 1.000000e+01 1246, 2.000000e+00, 3.000000e+00, 1.000000e+01 1247, 3.000000e+00, 3.000000e+00, 1.000000e+01 1248, 4.000000e+00, 3.000000e+00, 1.000000e+01 1249, 5.000000e+00, 3.000000e+00, 1.000000e+01 1250, 6.000000e+00, 3.000000e+00, 1.000000e+01 1251, 7.000000e+00, 3.000000e+00, 1.000000e+01 1252, 8.000000e+00, 3.000000e+00, 1.000000e+01 1253, 9.000000e+00, 3.000000e+00, 1.000000e+01 1254, 1.000000e+01, 3.000000e+00, 1.000000e+01 1255, 0.000000e+00, 4.000000e+00, 1.000000e+01 1256, 1.000000e+00, 4.000000e+00, 1.000000e+01 1257, 2.000000e+00, 4.000000e+00, 1.000000e+01 1258, 3.000000e+00, 4.000000e+00, 1.000000e+01 1259, 4.000000e+00, 4.000000e+00, 1.000000e+01 1260, 5.000000e+00, 4.000000e+00, 1.000000e+01 1261, 6.000000e+00, 4.000000e+00, 1.000000e+01 1262, 7.000000e+00, 4.000000e+00, 1.000000e+01 1263, 8.000000e+00, 4.000000e+00, 1.000000e+01 1264, 9.000000e+00, 4.000000e+00, 1.000000e+01 1265, 1.000000e+01, 4.000000e+00, 1.000000e+01 1266, 0.000000e+00, 5.000000e+00, 1.000000e+01 1267, 1.000000e+00, 5.000000e+00, 1.000000e+01 1268, 2.000000e+00, 5.000000e+00, 1.000000e+01 1269, 3.000000e+00, 5.000000e+00, 1.000000e+01 1270, 4.000000e+00, 5.000000e+00, 1.000000e+01 1271, 5.000000e+00, 5.000000e+00, 1.000000e+01 1272, 6.000000e+00, 5.000000e+00, 1.000000e+01 1273, 7.000000e+00, 5.000000e+00, 1.000000e+01 1274, 8.000000e+00, 5.000000e+00, 1.000000e+01 1275, 9.000000e+00, 5.000000e+00, 1.000000e+01 1276, 1.000000e+01, 5.000000e+00, 1.000000e+01 1277, 0.000000e+00, 6.000000e+00, 1.000000e+01 1278, 1.000000e+00, 6.000000e+00, 1.000000e+01 1279, 2.000000e+00, 6.000000e+00, 1.000000e+01 1280, 3.000000e+00, 6.000000e+00, 1.000000e+01 1281, 4.000000e+00, 6.000000e+00, 1.000000e+01 1282, 5.000000e+00, 6.000000e+00, 1.000000e+01 1283, 6.000000e+00, 6.000000e+00, 1.000000e+01 1284, 7.000000e+00, 6.000000e+00, 1.000000e+01 1285, 8.000000e+00, 6.000000e+00, 1.000000e+01 1286, 9.000000e+00, 6.000000e+00, 1.000000e+01 1287, 1.000000e+01, 6.000000e+00, 1.000000e+01 1288, 0.000000e+00, 7.000000e+00, 1.000000e+01 1289, 1.000000e+00, 7.000000e+00, 1.000000e+01 1290, 2.000000e+00, 7.000000e+00, 1.000000e+01 1291, 3.000000e+00, 7.000000e+00, 1.000000e+01 1292, 4.000000e+00, 7.000000e+00, 1.000000e+01 1293, 5.000000e+00, 7.000000e+00, 1.000000e+01 1294, 6.000000e+00, 7.000000e+00, 1.000000e+01 1295, 7.000000e+00, 7.000000e+00, 1.000000e+01 1296, 8.000000e+00, 7.000000e+00, 1.000000e+01 1297, 9.000000e+00, 7.000000e+00, 1.000000e+01 1298, 1.000000e+01, 7.000000e+00, 1.000000e+01 1299, 0.000000e+00, 8.000000e+00, 1.000000e+01 1300, 1.000000e+00, 8.000000e+00, 1.000000e+01 1301, 2.000000e+00, 8.000000e+00, 1.000000e+01 1302, 3.000000e+00, 8.000000e+00, 1.000000e+01 1303, 4.000000e+00, 8.000000e+00, 1.000000e+01 1304, 5.000000e+00, 8.000000e+00, 1.000000e+01 1305, 6.000000e+00, 8.000000e+00, 1.000000e+01 1306, 7.000000e+00, 8.000000e+00, 1.000000e+01 1307, 8.000000e+00, 8.000000e+00, 1.000000e+01 1308, 9.000000e+00, 8.000000e+00, 1.000000e+01 1309, 1.000000e+01, 8.000000e+00, 1.000000e+01 1310, 0.000000e+00, 9.000000e+00, 1.000000e+01 1311, 1.000000e+00, 9.000000e+00, 1.000000e+01 1312, 2.000000e+00, 9.000000e+00, 1.000000e+01 1313, 3.000000e+00, 9.000000e+00, 1.000000e+01 1314, 4.000000e+00, 9.000000e+00, 1.000000e+01 1315, 5.000000e+00, 9.000000e+00, 1.000000e+01 1316, 6.000000e+00, 9.000000e+00, 1.000000e+01 1317, 7.000000e+00, 9.000000e+00, 1.000000e+01 1318, 8.000000e+00, 9.000000e+00, 1.000000e+01 1319, 9.000000e+00, 9.000000e+00, 1.000000e+01 1320, 1.000000e+01, 9.000000e+00, 1.000000e+01 1321, 0.000000e+00, 1.000000e+01, 1.000000e+01 1322, 1.000000e+00, 1.000000e+01, 1.000000e+01 1323, 2.000000e+00, 1.000000e+01, 1.000000e+01 1324, 3.000000e+00, 1.000000e+01, 1.000000e+01 1325, 4.000000e+00, 1.000000e+01, 1.000000e+01 1326, 5.000000e+00, 1.000000e+01, 1.000000e+01 1327, 6.000000e+00, 1.000000e+01, 1.000000e+01 1328, 7.000000e+00, 1.000000e+01, 1.000000e+01 1329, 8.000000e+00, 1.000000e+01, 1.000000e+01 1330, 9.000000e+00, 1.000000e+01, 1.000000e+01 1331, 1.000000e+01, 1.000000e+01, 1.000000e+01 *Element, type=C3D8 1, 123, 2, 1, 122, 134, 13, 12, 133 2, 124, 3, 2, 123, 135, 14, 13, 134 3, 125, 4, 3, 124, 136, 15, 14, 135 4, 126, 5, 4, 125, 137, 16, 15, 136 5, 127, 6, 5, 126, 138, 17, 16, 137 6, 128, 7, 6, 127, 139, 18, 17, 138 7, 129, 8, 7, 128, 140, 19, 18, 139 8, 130, 9, 8, 129, 141, 20, 19, 140 9, 131, 10, 9, 130, 142, 21, 20, 141 10, 132, 11, 10, 131, 143, 22, 21, 142 11, 134, 13, 12, 133, 145, 24, 23, 144 12, 135, 14, 13, 134, 146, 25, 24, 145 13, 136, 15, 14, 135, 147, 26, 25, 146 14, 137, 16, 15, 136, 148, 27, 26, 147 15, 138, 17, 16, 137, 149, 28, 27, 148 16, 139, 18, 17, 138, 150, 29, 28, 149 17, 140, 19, 18, 139, 151, 30, 29, 150 18, 141, 20, 19, 140, 152, 31, 30, 151 19, 142, 21, 20, 141, 153, 32, 31, 152 20, 143, 22, 21, 142, 154, 33, 32, 153 21, 145, 24, 23, 144, 156, 35, 34, 155 22, 146, 25, 24, 145, 157, 36, 35, 156 23, 147, 26, 25, 146, 158, 37, 36, 157 24, 148, 27, 26, 147, 159, 38, 37, 158 25, 149, 28, 27, 148, 160, 39, 38, 159 26, 150, 29, 28, 149, 161, 40, 39, 160 27, 151, 30, 29, 150, 162, 41, 40, 161 28, 152, 31, 30, 151, 163, 42, 41, 162 29, 153, 32, 31, 152, 164, 43, 42, 163 30, 154, 33, 32, 153, 165, 44, 43, 164 31, 156, 35, 34, 155, 167, 46, 45, 166 32, 157, 36, 35, 156, 168, 47, 46, 167 33, 158, 37, 36, 157, 169, 48, 47, 168 34, 159, 38, 37, 158, 170, 49, 48, 169 35, 160, 39, 38, 159, 171, 50, 49, 170 36, 161, 40, 39, 160, 172, 51, 50, 171 37, 162, 41, 40, 161, 173, 52, 51, 172 38, 163, 42, 41, 162, 174, 53, 52, 173 39, 164, 43, 42, 163, 175, 54, 53, 174 40, 165, 44, 43, 164, 176, 55, 54, 175 41, 167, 46, 45, 166, 178, 57, 56, 177 42, 168, 47, 46, 167, 179, 58, 57, 178 43, 169, 48, 47, 168, 180, 59, 58, 179 44, 170, 49, 48, 169, 181, 60, 59, 180 45, 171, 50, 49, 170, 182, 61, 60, 181 46, 172, 51, 50, 171, 183, 62, 61, 182 47, 173, 52, 51, 172, 184, 63, 62, 183 48, 174, 53, 52, 173, 185, 64, 63, 184 49, 175, 54, 53, 174, 186, 65, 64, 185 50, 176, 55, 54, 175, 187, 66, 65, 186 51, 178, 57, 56, 177, 189, 68, 67, 188 52, 179, 58, 57, 178, 190, 69, 68, 189 53, 180, 59, 58, 179, 191, 70, 69, 190 54, 181, 60, 59, 180, 192, 71, 70, 191 55, 182, 61, 60, 181, 193, 72, 71, 192 56, 183, 62, 61, 182, 194, 73, 72, 193 57, 184, 63, 62, 183, 195, 74, 73, 194 58, 185, 64, 63, 184, 196, 75, 74, 195 59, 186, 65, 64, 185, 197, 76, 75, 196 60, 187, 66, 65, 186, 198, 77, 76, 197 61, 189, 68, 67, 188, 200, 79, 78, 199 62, 190, 69, 68, 189, 201, 80, 79, 200 63, 191, 70, 69, 190, 202, 81, 80, 201 64, 192, 71, 70, 191, 203, 82, 81, 202 65, 193, 72, 71, 192, 204, 83, 82, 203 66, 194, 73, 72, 193, 205, 84, 83, 204 67, 195, 74, 73, 194, 206, 85, 84, 205 68, 196, 75, 74, 195, 207, 86, 85, 206 69, 197, 76, 75, 196, 208, 87, 86, 207 70, 198, 77, 76, 197, 209, 88, 87, 208 71, 200, 79, 78, 199, 211, 90, 89, 210 72, 201, 80, 79, 200, 212, 91, 90, 211 73, 202, 81, 80, 201, 213, 92, 91, 212 74, 203, 82, 81, 202, 214, 93, 92, 213 75, 204, 83, 82, 203, 215, 94, 93, 214 76, 205, 84, 83, 204, 216, 95, 94, 215 77, 206, 85, 84, 205, 217, 96, 95, 216 78, 207, 86, 85, 206, 218, 97, 96, 217 79, 208, 87, 86, 207, 219, 98, 97, 218 80, 209, 88, 87, 208, 220, 99, 98, 219 81, 211, 90, 89, 210, 222, 101, 100, 221 82, 212, 91, 90, 211, 223, 102, 101, 222 83, 213, 92, 91, 212, 224, 103, 102, 223 84, 214, 93, 92, 213, 225, 104, 103, 224 85, 215, 94, 93, 214, 226, 105, 104, 225 86, 216, 95, 94, 215, 227, 106, 105, 226 87, 217, 96, 95, 216, 228, 107, 106, 227 88, 218, 97, 96, 217, 229, 108, 107, 228 89, 219, 98, 97, 218, 230, 109, 108, 229 90, 220, 99, 98, 219, 231, 110, 109, 230 91, 222, 101, 100, 221, 233, 112, 111, 232 92, 223, 102, 101, 222, 234, 113, 112, 233 93, 224, 103, 102, 223, 235, 114, 113, 234 94, 225, 104, 103, 224, 236, 115, 114, 235 95, 226, 105, 104, 225, 237, 116, 115, 236 96, 227, 106, 105, 226, 238, 117, 116, 237 97, 228, 107, 106, 227, 239, 118, 117, 238 98, 229, 108, 107, 228, 240, 119, 118, 239 99, 230, 109, 108, 229, 241, 120, 119, 240 100, 231, 110, 109, 230, 242, 121, 120, 241 101, 244, 123, 122, 243, 255, 134, 133, 254 102, 245, 124, 123, 244, 256, 135, 134, 255 103, 246, 125, 124, 245, 257, 136, 135, 256 104, 247, 126, 125, 246, 258, 137, 136, 257 105, 248, 127, 126, 247, 259, 138, 137, 258 106, 249, 128, 127, 248, 260, 139, 138, 259 107, 250, 129, 128, 249, 261, 140, 139, 260 108, 251, 130, 129, 250, 262, 141, 140, 261 109, 252, 131, 130, 251, 263, 142, 141, 262 110, 253, 132, 131, 252, 264, 143, 142, 263 111, 255, 134, 133, 254, 266, 145, 144, 265 112, 256, 135, 134, 255, 267, 146, 145, 266 113, 257, 136, 135, 256, 268, 147, 146, 267 114, 258, 137, 136, 257, 269, 148, 147, 268 115, 259, 138, 137, 258, 270, 149, 148, 269 116, 260, 139, 138, 259, 271, 150, 149, 270 117, 261, 140, 139, 260, 272, 151, 150, 271 118, 262, 141, 140, 261, 273, 152, 151, 272 119, 263, 142, 141, 262, 274, 153, 152, 273 120, 264, 143, 142, 263, 275, 154, 153, 274 121, 266, 145, 144, 265, 277, 156, 155, 276 122, 267, 146, 145, 266, 278, 157, 156, 277 123, 268, 147, 146, 267, 279, 158, 157, 278 124, 269, 148, 147, 268, 280, 159, 158, 279 125, 270, 149, 148, 269, 281, 160, 159, 280 126, 271, 150, 149, 270, 282, 161, 160, 281 127, 272, 151, 150, 271, 283, 162, 161, 282 128, 273, 152, 151, 272, 284, 163, 162, 283 129, 274, 153, 152, 273, 285, 164, 163, 284 130, 275, 154, 153, 274, 286, 165, 164, 285 131, 277, 156, 155, 276, 288, 167, 166, 287 132, 278, 157, 156, 277, 289, 168, 167, 288 133, 279, 158, 157, 278, 290, 169, 168, 289 134, 280, 159, 158, 279, 291, 170, 169, 290 135, 281, 160, 159, 280, 292, 171, 170, 291 136, 282, 161, 160, 281, 293, 172, 171, 292 137, 283, 162, 161, 282, 294, 173, 172, 293 138, 284, 163, 162, 283, 295, 174, 173, 294 139, 285, 164, 163, 284, 296, 175, 174, 295 140, 286, 165, 164, 285, 297, 176, 175, 296 141, 288, 167, 166, 287, 299, 178, 177, 298 142, 289, 168, 167, 288, 300, 179, 178, 299 143, 290, 169, 168, 289, 301, 180, 179, 300 144, 291, 170, 169, 290, 302, 181, 180, 301 145, 292, 171, 170, 291, 303, 182, 181, 302 146, 293, 172, 171, 292, 304, 183, 182, 303 147, 294, 173, 172, 293, 305, 184, 183, 304 148, 295, 174, 173, 294, 306, 185, 184, 305 149, 296, 175, 174, 295, 307, 186, 185, 306 150, 297, 176, 175, 296, 308, 187, 186, 307 151, 299, 178, 177, 298, 310, 189, 188, 309 152, 300, 179, 178, 299, 311, 190, 189, 310 153, 301, 180, 179, 300, 312, 191, 190, 311 154, 302, 181, 180, 301, 313, 192, 191, 312 155, 303, 182, 181, 302, 314, 193, 192, 313 156, 304, 183, 182, 303, 315, 194, 193, 314 157, 305, 184, 183, 304, 316, 195, 194, 315 158, 306, 185, 184, 305, 317, 196, 195, 316 159, 307, 186, 185, 306, 318, 197, 196, 317 160, 308, 187, 186, 307, 319, 198, 197, 318 161, 310, 189, 188, 309, 321, 200, 199, 320 162, 311, 190, 189, 310, 322, 201, 200, 321 163, 312, 191, 190, 311, 323, 202, 201, 322 164, 313, 192, 191, 312, 324, 203, 202, 323 165, 314, 193, 192, 313, 325, 204, 203, 324 166, 315, 194, 193, 314, 326, 205, 204, 325 167, 316, 195, 194, 315, 327, 206, 205, 326 168, 317, 196, 195, 316, 328, 207, 206, 327 169, 318, 197, 196, 317, 329, 208, 207, 328 170, 319, 198, 197, 318, 330, 209, 208, 329 171, 321, 200, 199, 320, 332, 211, 210, 331 172, 322, 201, 200, 321, 333, 212, 211, 332 173, 323, 202, 201, 322, 334, 213, 212, 333 174, 324, 203, 202, 323, 335, 214, 213, 334 175, 325, 204, 203, 324, 336, 215, 214, 335 176, 326, 205, 204, 325, 337, 216, 215, 336 177, 327, 206, 205, 326, 338, 217, 216, 337 178, 328, 207, 206, 327, 339, 218, 217, 338 179, 329, 208, 207, 328, 340, 219, 218, 339 180, 330, 209, 208, 329, 341, 220, 219, 340 181, 332, 211, 210, 331, 343, 222, 221, 342 182, 333, 212, 211, 332, 344, 223, 222, 343 183, 334, 213, 212, 333, 345, 224, 223, 344 184, 335, 214, 213, 334, 346, 225, 224, 345 185, 336, 215, 214, 335, 347, 226, 225, 346 186, 337, 216, 215, 336, 348, 227, 226, 347 187, 338, 217, 216, 337, 349, 228, 227, 348 188, 339, 218, 217, 338, 350, 229, 228, 349 189, 340, 219, 218, 339, 351, 230, 229, 350 190, 341, 220, 219, 340, 352, 231, 230, 351 191, 343, 222, 221, 342, 354, 233, 232, 353 192, 344, 223, 222, 343, 355, 234, 233, 354 193, 345, 224, 223, 344, 356, 235, 234, 355 194, 346, 225, 224, 345, 357, 236, 235, 356 195, 347, 226, 225, 346, 358, 237, 236, 357 196, 348, 227, 226, 347, 359, 238, 237, 358 197, 349, 228, 227, 348, 360, 239, 238, 359 198, 350, 229, 228, 349, 361, 240, 239, 360 199, 351, 230, 229, 350, 362, 241, 240, 361 200, 352, 231, 230, 351, 363, 242, 241, 362 201, 365, 244, 243, 364, 376, 255, 254, 375 202, 366, 245, 244, 365, 377, 256, 255, 376 203, 367, 246, 245, 366, 378, 257, 256, 377 204, 368, 247, 246, 367, 379, 258, 257, 378 205, 369, 248, 247, 368, 380, 259, 258, 379 206, 370, 249, 248, 369, 381, 260, 259, 380 207, 371, 250, 249, 370, 382, 261, 260, 381 208, 372, 251, 250, 371, 383, 262, 261, 382 209, 373, 252, 251, 372, 384, 263, 262, 383 210, 374, 253, 252, 373, 385, 264, 263, 384 211, 376, 255, 254, 375, 387, 266, 265, 386 212, 377, 256, 255, 376, 388, 267, 266, 387 213, 378, 257, 256, 377, 389, 268, 267, 388 214, 379, 258, 257, 378, 390, 269, 268, 389 215, 380, 259, 258, 379, 391, 270, 269, 390 216, 381, 260, 259, 380, 392, 271, 270, 391 217, 382, 261, 260, 381, 393, 272, 271, 392 218, 383, 262, 261, 382, 394, 273, 272, 393 219, 384, 263, 262, 383, 395, 274, 273, 394 220, 385, 264, 263, 384, 396, 275, 274, 395 221, 387, 266, 265, 386, 398, 277, 276, 397 222, 388, 267, 266, 387, 399, 278, 277, 398 223, 389, 268, 267, 388, 400, 279, 278, 399 224, 390, 269, 268, 389, 401, 280, 279, 400 225, 391, 270, 269, 390, 402, 281, 280, 401 226, 392, 271, 270, 391, 403, 282, 281, 402 227, 393, 272, 271, 392, 404, 283, 282, 403 228, 394, 273, 272, 393, 405, 284, 283, 404 229, 395, 274, 273, 394, 406, 285, 284, 405 230, 396, 275, 274, 395, 407, 286, 285, 406 231, 398, 277, 276, 397, 409, 288, 287, 408 232, 399, 278, 277, 398, 410, 289, 288, 409 233, 400, 279, 278, 399, 411, 290, 289, 410 234, 401, 280, 279, 400, 412, 291, 290, 411 235, 402, 281, 280, 401, 413, 292, 291, 412 236, 403, 282, 281, 402, 414, 293, 292, 413 237, 404, 283, 282, 403, 415, 294, 293, 414 238, 405, 284, 283, 404, 416, 295, 294, 415 239, 406, 285, 284, 405, 417, 296, 295, 416 240, 407, 286, 285, 406, 418, 297, 296, 417 241, 409, 288, 287, 408, 420, 299, 298, 419 242, 410, 289, 288, 409, 421, 300, 299, 420 243, 411, 290, 289, 410, 422, 301, 300, 421 244, 412, 291, 290, 411, 423, 302, 301, 422 245, 413, 292, 291, 412, 424, 303, 302, 423 246, 414, 293, 292, 413, 425, 304, 303, 424 247, 415, 294, 293, 414, 426, 305, 304, 425 248, 416, 295, 294, 415, 427, 306, 305, 426 249, 417, 296, 295, 416, 428, 307, 306, 427 250, 418, 297, 296, 417, 429, 308, 307, 428 251, 420, 299, 298, 419, 431, 310, 309, 430 252, 421, 300, 299, 420, 432, 311, 310, 431 253, 422, 301, 300, 421, 433, 312, 311, 432 254, 423, 302, 301, 422, 434, 313, 312, 433 255, 424, 303, 302, 423, 435, 314, 313, 434 256, 425, 304, 303, 424, 436, 315, 314, 435 257, 426, 305, 304, 425, 437, 316, 315, 436 258, 427, 306, 305, 426, 438, 317, 316, 437 259, 428, 307, 306, 427, 439, 318, 317, 438 260, 429, 308, 307, 428, 440, 319, 318, 439 261, 431, 310, 309, 430, 442, 321, 320, 441 262, 432, 311, 310, 431, 443, 322, 321, 442 263, 433, 312, 311, 432, 444, 323, 322, 443 264, 434, 313, 312, 433, 445, 324, 323, 444 265, 435, 314, 313, 434, 446, 325, 324, 445 266, 436, 315, 314, 435, 447, 326, 325, 446 267, 437, 316, 315, 436, 448, 327, 326, 447 268, 438, 317, 316, 437, 449, 328, 327, 448 269, 439, 318, 317, 438, 450, 329, 328, 449 270, 440, 319, 318, 439, 451, 330, 329, 450 271, 442, 321, 320, 441, 453, 332, 331, 452 272, 443, 322, 321, 442, 454, 333, 332, 453 273, 444, 323, 322, 443, 455, 334, 333, 454 274, 445, 324, 323, 444, 456, 335, 334, 455 275, 446, 325, 324, 445, 457, 336, 335, 456 276, 447, 326, 325, 446, 458, 337, 336, 457 277, 448, 327, 326, 447, 459, 338, 337, 458 278, 449, 328, 327, 448, 460, 339, 338, 459 279, 450, 329, 328, 449, 461, 340, 339, 460 280, 451, 330, 329, 450, 462, 341, 340, 461 281, 453, 332, 331, 452, 464, 343, 342, 463 282, 454, 333, 332, 453, 465, 344, 343, 464 283, 455, 334, 333, 454, 466, 345, 344, 465 284, 456, 335, 334, 455, 467, 346, 345, 466 285, 457, 336, 335, 456, 468, 347, 346, 467 286, 458, 337, 336, 457, 469, 348, 347, 468 287, 459, 338, 337, 458, 470, 349, 348, 469 288, 460, 339, 338, 459, 471, 350, 349, 470 289, 461, 340, 339, 460, 472, 351, 350, 471 290, 462, 341, 340, 461, 473, 352, 351, 472 291, 464, 343, 342, 463, 475, 354, 353, 474 292, 465, 344, 343, 464, 476, 355, 354, 475 293, 466, 345, 344, 465, 477, 356, 355, 476 294, 467, 346, 345, 466, 478, 357, 356, 477 295, 468, 347, 346, 467, 479, 358, 357, 478 296, 469, 348, 347, 468, 480, 359, 358, 479 297, 470, 349, 348, 469, 481, 360, 359, 480 298, 471, 350, 349, 470, 482, 361, 360, 481 299, 472, 351, 350, 471, 483, 362, 361, 482 300, 473, 352, 351, 472, 484, 363, 362, 483 301, 486, 365, 364, 485, 497, 376, 375, 496 302, 487, 366, 365, 486, 498, 377, 376, 497 303, 488, 367, 366, 487, 499, 378, 377, 498 304, 489, 368, 367, 488, 500, 379, 378, 499 305, 490, 369, 368, 489, 501, 380, 379, 500 306, 491, 370, 369, 490, 502, 381, 380, 501 307, 492, 371, 370, 491, 503, 382, 381, 502 308, 493, 372, 371, 492, 504, 383, 382, 503 309, 494, 373, 372, 493, 505, 384, 383, 504 310, 495, 374, 373, 494, 506, 385, 384, 505 311, 497, 376, 375, 496, 508, 387, 386, 507 312, 498, 377, 376, 497, 509, 388, 387, 508 313, 499, 378, 377, 498, 510, 389, 388, 509 314, 500, 379, 378, 499, 511, 390, 389, 510 315, 501, 380, 379, 500, 512, 391, 390, 511 316, 502, 381, 380, 501, 513, 392, 391, 512 317, 503, 382, 381, 502, 514, 393, 392, 513 318, 504, 383, 382, 503, 515, 394, 393, 514 319, 505, 384, 383, 504, 516, 395, 394, 515 320, 506, 385, 384, 505, 517, 396, 395, 516 321, 508, 387, 386, 507, 519, 398, 397, 518 322, 509, 388, 387, 508, 520, 399, 398, 519 323, 510, 389, 388, 509, 521, 400, 399, 520 324, 511, 390, 389, 510, 522, 401, 400, 521 325, 512, 391, 390, 511, 523, 402, 401, 522 326, 513, 392, 391, 512, 524, 403, 402, 523 327, 514, 393, 392, 513, 525, 404, 403, 524 328, 515, 394, 393, 514, 526, 405, 404, 525 329, 516, 395, 394, 515, 527, 406, 405, 526 330, 517, 396, 395, 516, 528, 407, 406, 527 331, 519, 398, 397, 518, 530, 409, 408, 529 332, 520, 399, 398, 519, 531, 410, 409, 530 333, 521, 400, 399, 520, 532, 411, 410, 531 334, 522, 401, 400, 521, 533, 412, 411, 532 335, 523, 402, 401, 522, 534, 413, 412, 533 336, 524, 403, 402, 523, 535, 414, 413, 534 337, 525, 404, 403, 524, 536, 415, 414, 535 338, 526, 405, 404, 525, 537, 416, 415, 536 339, 527, 406, 405, 526, 538, 417, 416, 537 340, 528, 407, 406, 527, 539, 418, 417, 538 341, 530, 409, 408, 529, 541, 420, 419, 540 342, 531, 410, 409, 530, 542, 421, 420, 541 343, 532, 411, 410, 531, 543, 422, 421, 542 344, 533, 412, 411, 532, 544, 423, 422, 543 345, 534, 413, 412, 533, 545, 424, 423, 544 346, 535, 414, 413, 534, 546, 425, 424, 545 347, 536, 415, 414, 535, 547, 426, 425, 546 348, 537, 416, 415, 536, 548, 427, 426, 547 349, 538, 417, 416, 537, 549, 428, 427, 548 350, 539, 418, 417, 538, 550, 429, 428, 549 351, 541, 420, 419, 540, 552, 431, 430, 551 352, 542, 421, 420, 541, 553, 432, 431, 552 353, 543, 422, 421, 542, 554, 433, 432, 553 354, 544, 423, 422, 543, 555, 434, 433, 554 355, 545, 424, 423, 544, 556, 435, 434, 555 356, 546, 425, 424, 545, 557, 436, 435, 556 357, 547, 426, 425, 546, 558, 437, 436, 557 358, 548, 427, 426, 547, 559, 438, 437, 558 359, 549, 428, 427, 548, 560, 439, 438, 559 360, 550, 429, 428, 549, 561, 440, 439, 560 361, 552, 431, 430, 551, 563, 442, 441, 562 362, 553, 432, 431, 552, 564, 443, 442, 563 363, 554, 433, 432, 553, 565, 444, 443, 564 364, 555, 434, 433, 554, 566, 445, 444, 565 365, 556, 435, 434, 555, 567, 446, 445, 566 366, 557, 436, 435, 556, 568, 447, 446, 567 367, 558, 437, 436, 557, 569, 448, 447, 568 368, 559, 438, 437, 558, 570, 449, 448, 569 369, 560, 439, 438, 559, 571, 450, 449, 570 370, 561, 440, 439, 560, 572, 451, 450, 571 371, 563, 442, 441, 562, 574, 453, 452, 573 372, 564, 443, 442, 563, 575, 454, 453, 574 373, 565, 444, 443, 564, 576, 455, 454, 575 374, 566, 445, 444, 565, 577, 456, 455, 576 375, 567, 446, 445, 566, 578, 457, 456, 577 376, 568, 447, 446, 567, 579, 458, 457, 578 377, 569, 448, 447, 568, 580, 459, 458, 579 378, 570, 449, 448, 569, 581, 460, 459, 580 379, 571, 450, 449, 570, 582, 461, 460, 581 380, 572, 451, 450, 571, 583, 462, 461, 582 381, 574, 453, 452, 573, 585, 464, 463, 584 382, 575, 454, 453, 574, 586, 465, 464, 585 383, 576, 455, 454, 575, 587, 466, 465, 586 384, 577, 456, 455, 576, 588, 467, 466, 587 385, 578, 457, 456, 577, 589, 468, 467, 588 386, 579, 458, 457, 578, 590, 469, 468, 589 387, 580, 459, 458, 579, 591, 470, 469, 590 388, 581, 460, 459, 580, 592, 471, 470, 591 389, 582, 461, 460, 581, 593, 472, 471, 592 390, 583, 462, 461, 582, 594, 473, 472, 593 391, 585, 464, 463, 584, 596, 475, 474, 595 392, 586, 465, 464, 585, 597, 476, 475, 596 393, 587, 466, 465, 586, 598, 477, 476, 597 394, 588, 467, 466, 587, 599, 478, 477, 598 395, 589, 468, 467, 588, 600, 479, 478, 599 396, 590, 469, 468, 589, 601, 480, 479, 600 397, 591, 470, 469, 590, 602, 481, 480, 601 398, 592, 471, 470, 591, 603, 482, 481, 602 399, 593, 472, 471, 592, 604, 483, 482, 603 400, 594, 473, 472, 593, 605, 484, 483, 604 401, 607, 486, 485, 606, 618, 497, 496, 617 402, 608, 487, 486, 607, 619, 498, 497, 618 403, 609, 488, 487, 608, 620, 499, 498, 619 404, 610, 489, 488, 609, 621, 500, 499, 620 405, 611, 490, 489, 610, 622, 501, 500, 621 406, 612, 491, 490, 611, 623, 502, 501, 622 407, 613, 492, 491, 612, 624, 503, 502, 623 408, 614, 493, 492, 613, 625, 504, 503, 624 409, 615, 494, 493, 614, 626, 505, 504, 625 410, 616, 495, 494, 615, 627, 506, 505, 626 411, 618, 497, 496, 617, 629, 508, 507, 628 412, 619, 498, 497, 618, 630, 509, 508, 629 413, 620, 499, 498, 619, 631, 510, 509, 630 414, 621, 500, 499, 620, 632, 511, 510, 631 415, 622, 501, 500, 621, 633, 512, 511, 632 416, 623, 502, 501, 622, 634, 513, 512, 633 417, 624, 503, 502, 623, 635, 514, 513, 634 418, 625, 504, 503, 624, 636, 515, 514, 635 419, 626, 505, 504, 625, 637, 516, 515, 636 420, 627, 506, 505, 626, 638, 517, 516, 637 421, 629, 508, 507, 628, 640, 519, 518, 639 422, 630, 509, 508, 629, 641, 520, 519, 640 423, 631, 510, 509, 630, 642, 521, 520, 641 424, 632, 511, 510, 631, 643, 522, 521, 642 425, 633, 512, 511, 632, 644, 523, 522, 643 426, 634, 513, 512, 633, 645, 524, 523, 644 427, 635, 514, 513, 634, 646, 525, 524, 645 428, 636, 515, 514, 635, 647, 526, 525, 646 429, 637, 516, 515, 636, 648, 527, 526, 647 430, 638, 517, 516, 637, 649, 528, 527, 648 431, 640, 519, 518, 639, 651, 530, 529, 650 432, 641, 520, 519, 640, 652, 531, 530, 651 433, 642, 521, 520, 641, 653, 532, 531, 652 434, 643, 522, 521, 642, 654, 533, 532, 653 435, 644, 523, 522, 643, 655, 534, 533, 654 436, 645, 524, 523, 644, 656, 535, 534, 655 437, 646, 525, 524, 645, 657, 536, 535, 656 438, 647, 526, 525, 646, 658, 537, 536, 657 439, 648, 527, 526, 647, 659, 538, 537, 658 440, 649, 528, 527, 648, 660, 539, 538, 659 441, 651, 530, 529, 650, 662, 541, 540, 661 442, 652, 531, 530, 651, 663, 542, 541, 662 443, 653, 532, 531, 652, 664, 543, 542, 663 444, 654, 533, 532, 653, 665, 544, 543, 664 445, 655, 534, 533, 654, 666, 545, 544, 665 446, 656, 535, 534, 655, 667, 546, 545, 666 447, 657, 536, 535, 656, 668, 547, 546, 667 448, 658, 537, 536, 657, 669, 548, 547, 668 449, 659, 538, 537, 658, 670, 549, 548, 669 450, 660, 539, 538, 659, 671, 550, 549, 670 451, 662, 541, 540, 661, 673, 552, 551, 672 452, 663, 542, 541, 662, 674, 553, 552, 673 453, 664, 543, 542, 663, 675, 554, 553, 674 454, 665, 544, 543, 664, 676, 555, 554, 675 455, 666, 545, 544, 665, 677, 556, 555, 676 456, 667, 546, 545, 666, 678, 557, 556, 677 457, 668, 547, 546, 667, 679, 558, 557, 678 458, 669, 548, 547, 668, 680, 559, 558, 679 459, 670, 549, 548, 669, 681, 560, 559, 680 460, 671, 550, 549, 670, 682, 561, 560, 681 461, 673, 552, 551, 672, 684, 563, 562, 683 462, 674, 553, 552, 673, 685, 564, 563, 684 463, 675, 554, 553, 674, 686, 565, 564, 685 464, 676, 555, 554, 675, 687, 566, 565, 686 465, 677, 556, 555, 676, 688, 567, 566, 687 466, 678, 557, 556, 677, 689, 568, 567, 688 467, 679, 558, 557, 678, 690, 569, 568, 689 468, 680, 559, 558, 679, 691, 570, 569, 690 469, 681, 560, 559, 680, 692, 571, 570, 691 470, 682, 561, 560, 681, 693, 572, 571, 692 471, 684, 563, 562, 683, 695, 574, 573, 694 472, 685, 564, 563, 684, 696, 575, 574, 695 473, 686, 565, 564, 685, 697, 576, 575, 696 474, 687, 566, 565, 686, 698, 577, 576, 697 475, 688, 567, 566, 687, 699, 578, 577, 698 476, 689, 568, 567, 688, 700, 579, 578, 699 477, 690, 569, 568, 689, 701, 580, 579, 700 478, 691, 570, 569, 690, 702, 581, 580, 701 479, 692, 571, 570, 691, 703, 582, 581, 702 480, 693, 572, 571, 692, 704, 583, 582, 703 481, 695, 574, 573, 694, 706, 585, 584, 705 482, 696, 575, 574, 695, 707, 586, 585, 706 483, 697, 576, 575, 696, 708, 587, 586, 707 484, 698, 577, 576, 697, 709, 588, 587, 708 485, 699, 578, 577, 698, 710, 589, 588, 709 486, 700, 579, 578, 699, 711, 590, 589, 710 487, 701, 580, 579, 700, 712, 591, 590, 711 488, 702, 581, 580, 701, 713, 592, 591, 712 489, 703, 582, 581, 702, 714, 593, 592, 713 490, 704, 583, 582, 703, 715, 594, 593, 714 491, 706, 585, 584, 705, 717, 596, 595, 716 492, 707, 586, 585, 706, 718, 597, 596, 717 493, 708, 587, 586, 707, 719, 598, 597, 718 494, 709, 588, 587, 708, 720, 599, 598, 719 495, 710, 589, 588, 709, 721, 600, 599, 720 496, 711, 590, 589, 710, 722, 601, 600, 721 497, 712, 591, 590, 711, 723, 602, 601, 722 498, 713, 592, 591, 712, 724, 603, 602, 723 499, 714, 593, 592, 713, 725, 604, 603, 724 500, 715, 594, 593, 714, 726, 605, 604, 725 501, 728, 607, 606, 727, 739, 618, 617, 738 502, 729, 608, 607, 728, 740, 619, 618, 739 503, 730, 609, 608, 729, 741, 620, 619, 740 504, 731, 610, 609, 730, 742, 621, 620, 741 505, 732, 611, 610, 731, 743, 622, 621, 742 506, 733, 612, 611, 732, 744, 623, 622, 743 507, 734, 613, 612, 733, 745, 624, 623, 744 508, 735, 614, 613, 734, 746, 625, 624, 745 509, 736, 615, 614, 735, 747, 626, 625, 746 510, 737, 616, 615, 736, 748, 627, 626, 747 511, 739, 618, 617, 738, 750, 629, 628, 749 512, 740, 619, 618, 739, 751, 630, 629, 750 513, 741, 620, 619, 740, 752, 631, 630, 751 514, 742, 621, 620, 741, 753, 632, 631, 752 515, 743, 622, 621, 742, 754, 633, 632, 753 516, 744, 623, 622, 743, 755, 634, 633, 754 517, 745, 624, 623, 744, 756, 635, 634, 755 518, 746, 625, 624, 745, 757, 636, 635, 756 519, 747, 626, 625, 746, 758, 637, 636, 757 520, 748, 627, 626, 747, 759, 638, 637, 758 521, 750, 629, 628, 749, 761, 640, 639, 760 522, 751, 630, 629, 750, 762, 641, 640, 761 523, 752, 631, 630, 751, 763, 642, 641, 762 524, 753, 632, 631, 752, 764, 643, 642, 763 525, 754, 633, 632, 753, 765, 644, 643, 764 526, 755, 634, 633, 754, 766, 645, 644, 765 527, 756, 635, 634, 755, 767, 646, 645, 766 528, 757, 636, 635, 756, 768, 647, 646, 767 529, 758, 637, 636, 757, 769, 648, 647, 768 530, 759, 638, 637, 758, 770, 649, 648, 769 531, 761, 640, 639, 760, 772, 651, 650, 771 532, 762, 641, 640, 761, 773, 652, 651, 772 533, 763, 642, 641, 762, 774, 653, 652, 773 534, 764, 643, 642, 763, 775, 654, 653, 774 535, 765, 644, 643, 764, 776, 655, 654, 775 536, 766, 645, 644, 765, 777, 656, 655, 776 537, 767, 646, 645, 766, 778, 657, 656, 777 538, 768, 647, 646, 767, 779, 658, 657, 778 539, 769, 648, 647, 768, 780, 659, 658, 779 540, 770, 649, 648, 769, 781, 660, 659, 780 541, 772, 651, 650, 771, 783, 662, 661, 782 542, 773, 652, 651, 772, 784, 663, 662, 783 543, 774, 653, 652, 773, 785, 664, 663, 784 544, 775, 654, 653, 774, 786, 665, 664, 785 545, 776, 655, 654, 775, 787, 666, 665, 786 546, 777, 656, 655, 776, 788, 667, 666, 787 547, 778, 657, 656, 777, 789, 668, 667, 788 548, 779, 658, 657, 778, 790, 669, 668, 789 549, 780, 659, 658, 779, 791, 670, 669, 790 550, 781, 660, 659, 780, 792, 671, 670, 791 551, 783, 662, 661, 782, 794, 673, 672, 793 552, 784, 663, 662, 783, 795, 674, 673, 794 553, 785, 664, 663, 784, 796, 675, 674, 795 554, 786, 665, 664, 785, 797, 676, 675, 796 555, 787, 666, 665, 786, 798, 677, 676, 797 556, 788, 667, 666, 787, 799, 678, 677, 798 557, 789, 668, 667, 788, 800, 679, 678, 799 558, 790, 669, 668, 789, 801, 680, 679, 800 559, 791, 670, 669, 790, 802, 681, 680, 801 560, 792, 671, 670, 791, 803, 682, 681, 802 561, 794, 673, 672, 793, 805, 684, 683, 804 562, 795, 674, 673, 794, 806, 685, 684, 805 563, 796, 675, 674, 795, 807, 686, 685, 806 564, 797, 676, 675, 796, 808, 687, 686, 807 565, 798, 677, 676, 797, 809, 688, 687, 808 566, 799, 678, 677, 798, 810, 689, 688, 809 567, 800, 679, 678, 799, 811, 690, 689, 810 568, 801, 680, 679, 800, 812, 691, 690, 811 569, 802, 681, 680, 801, 813, 692, 691, 812 570, 803, 682, 681, 802, 814, 693, 692, 813 571, 805, 684, 683, 804, 816, 695, 694, 815 572, 806, 685, 684, 805, 817, 696, 695, 816 573, 807, 686, 685, 806, 818, 697, 696, 817 574, 808, 687, 686, 807, 819, 698, 697, 818 575, 809, 688, 687, 808, 820, 699, 698, 819 576, 810, 689, 688, 809, 821, 700, 699, 820 577, 811, 690, 689, 810, 822, 701, 700, 821 578, 812, 691, 690, 811, 823, 702, 701, 822 579, 813, 692, 691, 812, 824, 703, 702, 823 580, 814, 693, 692, 813, 825, 704, 703, 824 581, 816, 695, 694, 815, 827, 706, 705, 826 582, 817, 696, 695, 816, 828, 707, 706, 827 583, 818, 697, 696, 817, 829, 708, 707, 828 584, 819, 698, 697, 818, 830, 709, 708, 829 585, 820, 699, 698, 819, 831, 710, 709, 830 586, 821, 700, 699, 820, 832, 711, 710, 831 587, 822, 701, 700, 821, 833, 712, 711, 832 588, 823, 702, 701, 822, 834, 713, 712, 833 589, 824, 703, 702, 823, 835, 714, 713, 834 590, 825, 704, 703, 824, 836, 715, 714, 835 591, 827, 706, 705, 826, 838, 717, 716, 837 592, 828, 707, 706, 827, 839, 718, 717, 838 593, 829, 708, 707, 828, 840, 719, 718, 839 594, 830, 709, 708, 829, 841, 720, 719, 840 595, 831, 710, 709, 830, 842, 721, 720, 841 596, 832, 711, 710, 831, 843, 722, 721, 842 597, 833, 712, 711, 832, 844, 723, 722, 843 598, 834, 713, 712, 833, 845, 724, 723, 844 599, 835, 714, 713, 834, 846, 725, 724, 845 600, 836, 715, 714, 835, 847, 726, 725, 846 601, 849, 728, 727, 848, 860, 739, 738, 859 602, 850, 729, 728, 849, 861, 740, 739, 860 603, 851, 730, 729, 850, 862, 741, 740, 861 604, 852, 731, 730, 851, 863, 742, 741, 862 605, 853, 732, 731, 852, 864, 743, 742, 863 606, 854, 733, 732, 853, 865, 744, 743, 864 607, 855, 734, 733, 854, 866, 745, 744, 865 608, 856, 735, 734, 855, 867, 746, 745, 866 609, 857, 736, 735, 856, 868, 747, 746, 867 610, 858, 737, 736, 857, 869, 748, 747, 868 611, 860, 739, 738, 859, 871, 750, 749, 870 612, 861, 740, 739, 860, 872, 751, 750, 871 613, 862, 741, 740, 861, 873, 752, 751, 872 614, 863, 742, 741, 862, 874, 753, 752, 873 615, 864, 743, 742, 863, 875, 754, 753, 874 616, 865, 744, 743, 864, 876, 755, 754, 875 617, 866, 745, 744, 865, 877, 756, 755, 876 618, 867, 746, 745, 866, 878, 757, 756, 877 619, 868, 747, 746, 867, 879, 758, 757, 878 620, 869, 748, 747, 868, 880, 759, 758, 879 621, 871, 750, 749, 870, 882, 761, 760, 881 622, 872, 751, 750, 871, 883, 762, 761, 882 623, 873, 752, 751, 872, 884, 763, 762, 883 624, 874, 753, 752, 873, 885, 764, 763, 884 625, 875, 754, 753, 874, 886, 765, 764, 885 626, 876, 755, 754, 875, 887, 766, 765, 886 627, 877, 756, 755, 876, 888, 767, 766, 887 628, 878, 757, 756, 877, 889, 768, 767, 888 629, 879, 758, 757, 878, 890, 769, 768, 889 630, 880, 759, 758, 879, 891, 770, 769, 890 631, 882, 761, 760, 881, 893, 772, 771, 892 632, 883, 762, 761, 882, 894, 773, 772, 893 633, 884, 763, 762, 883, 895, 774, 773, 894 634, 885, 764, 763, 884, 896, 775, 774, 895 635, 886, 765, 764, 885, 897, 776, 775, 896 636, 887, 766, 765, 886, 898, 777, 776, 897 637, 888, 767, 766, 887, 899, 778, 777, 898 638, 889, 768, 767, 888, 900, 779, 778, 899 639, 890, 769, 768, 889, 901, 780, 779, 900 640, 891, 770, 769, 890, 902, 781, 780, 901 641, 893, 772, 771, 892, 904, 783, 782, 903 642, 894, 773, 772, 893, 905, 784, 783, 904 643, 895, 774, 773, 894, 906, 785, 784, 905 644, 896, 775, 774, 895, 907, 786, 785, 906 645, 897, 776, 775, 896, 908, 787, 786, 907 646, 898, 777, 776, 897, 909, 788, 787, 908 647, 899, 778, 777, 898, 910, 789, 788, 909 648, 900, 779, 778, 899, 911, 790, 789, 910 649, 901, 780, 779, 900, 912, 791, 790, 911 650, 902, 781, 780, 901, 913, 792, 791, 912 651, 904, 783, 782, 903, 915, 794, 793, 914 652, 905, 784, 783, 904, 916, 795, 794, 915 653, 906, 785, 784, 905, 917, 796, 795, 916 654, 907, 786, 785, 906, 918, 797, 796, 917 655, 908, 787, 786, 907, 919, 798, 797, 918 656, 909, 788, 787, 908, 920, 799, 798, 919 657, 910, 789, 788, 909, 921, 800, 799, 920 658, 911, 790, 789, 910, 922, 801, 800, 921 659, 912, 791, 790, 911, 923, 802, 801, 922 660, 913, 792, 791, 912, 924, 803, 802, 923 661, 915, 794, 793, 914, 926, 805, 804, 925 662, 916, 795, 794, 915, 927, 806, 805, 926 663, 917, 796, 795, 916, 928, 807, 806, 927 664, 918, 797, 796, 917, 929, 808, 807, 928 665, 919, 798, 797, 918, 930, 809, 808, 929 666, 920, 799, 798, 919, 931, 810, 809, 930 667, 921, 800, 799, 920, 932, 811, 810, 931 668, 922, 801, 800, 921, 933, 812, 811, 932 669, 923, 802, 801, 922, 934, 813, 812, 933 670, 924, 803, 802, 923, 935, 814, 813, 934 671, 926, 805, 804, 925, 937, 816, 815, 936 672, 927, 806, 805, 926, 938, 817, 816, 937 673, 928, 807, 806, 927, 939, 818, 817, 938 674, 929, 808, 807, 928, 940, 819, 818, 939 675, 930, 809, 808, 929, 941, 820, 819, 940 676, 931, 810, 809, 930, 942, 821, 820, 941 677, 932, 811, 810, 931, 943, 822, 821, 942 678, 933, 812, 811, 932, 944, 823, 822, 943 679, 934, 813, 812, 933, 945, 824, 823, 944 680, 935, 814, 813, 934, 946, 825, 824, 945 681, 937, 816, 815, 936, 948, 827, 826, 947 682, 938, 817, 816, 937, 949, 828, 827, 948 683, 939, 818, 817, 938, 950, 829, 828, 949 684, 940, 819, 818, 939, 951, 830, 829, 950 685, 941, 820, 819, 940, 952, 831, 830, 951 686, 942, 821, 820, 941, 953, 832, 831, 952 687, 943, 822, 821, 942, 954, 833, 832, 953 688, 944, 823, 822, 943, 955, 834, 833, 954 689, 945, 824, 823, 944, 956, 835, 834, 955 690, 946, 825, 824, 945, 957, 836, 835, 956 691, 948, 827, 826, 947, 959, 838, 837, 958 692, 949, 828, 827, 948, 960, 839, 838, 959 693, 950, 829, 828, 949, 961, 840, 839, 960 694, 951, 830, 829, 950, 962, 841, 840, 961 695, 952, 831, 830, 951, 963, 842, 841, 962 696, 953, 832, 831, 952, 964, 843, 842, 963 697, 954, 833, 832, 953, 965, 844, 843, 964 698, 955, 834, 833, 954, 966, 845, 844, 965 699, 956, 835, 834, 955, 967, 846, 845, 966 700, 957, 836, 835, 956, 968, 847, 846, 967 701, 970, 849, 848, 969, 981, 860, 859, 980 702, 971, 850, 849, 970, 982, 861, 860, 981 703, 972, 851, 850, 971, 983, 862, 861, 982 704, 973, 852, 851, 972, 984, 863, 862, 983 705, 974, 853, 852, 973, 985, 864, 863, 984 706, 975, 854, 853, 974, 986, 865, 864, 985 707, 976, 855, 854, 975, 987, 866, 865, 986 708, 977, 856, 855, 976, 988, 867, 866, 987 709, 978, 857, 856, 977, 989, 868, 867, 988 710, 979, 858, 857, 978, 990, 869, 868, 989 711, 981, 860, 859, 980, 992, 871, 870, 991 712, 982, 861, 860, 981, 993, 872, 871, 992 713, 983, 862, 861, 982, 994, 873, 872, 993 714, 984, 863, 862, 983, 995, 874, 873, 994 715, 985, 864, 863, 984, 996, 875, 874, 995 716, 986, 865, 864, 985, 997, 876, 875, 996 717, 987, 866, 865, 986, 998, 877, 876, 997 718, 988, 867, 866, 987, 999, 878, 877, 998 719, 989, 868, 867, 988, 1000, 879, 878, 999 720, 990, 869, 868, 989, 1001, 880, 879, 1000 721, 992, 871, 870, 991, 1003, 882, 881, 1002 722, 993, 872, 871, 992, 1004, 883, 882, 1003 723, 994, 873, 872, 993, 1005, 884, 883, 1004 724, 995, 874, 873, 994, 1006, 885, 884, 1005 725, 996, 875, 874, 995, 1007, 886, 885, 1006 726, 997, 876, 875, 996, 1008, 887, 886, 1007 727, 998, 877, 876, 997, 1009, 888, 887, 1008 728, 999, 878, 877, 998, 1010, 889, 888, 1009 729, 1000, 879, 878, 999, 1011, 890, 889, 1010 730, 1001, 880, 879, 1000, 1012, 891, 890, 1011 731, 1003, 882, 881, 1002, 1014, 893, 892, 1013 732, 1004, 883, 882, 1003, 1015, 894, 893, 1014 733, 1005, 884, 883, 1004, 1016, 895, 894, 1015 734, 1006, 885, 884, 1005, 1017, 896, 895, 1016 735, 1007, 886, 885, 1006, 1018, 897, 896, 1017 736, 1008, 887, 886, 1007, 1019, 898, 897, 1018 737, 1009, 888, 887, 1008, 1020, 899, 898, 1019 738, 1010, 889, 888, 1009, 1021, 900, 899, 1020 739, 1011, 890, 889, 1010, 1022, 901, 900, 1021 740, 1012, 891, 890, 1011, 1023, 902, 901, 1022 741, 1014, 893, 892, 1013, 1025, 904, 903, 1024 742, 1015, 894, 893, 1014, 1026, 905, 904, 1025 743, 1016, 895, 894, 1015, 1027, 906, 905, 1026 744, 1017, 896, 895, 1016, 1028, 907, 906, 1027 745, 1018, 897, 896, 1017, 1029, 908, 907, 1028 746, 1019, 898, 897, 1018, 1030, 909, 908, 1029 747, 1020, 899, 898, 1019, 1031, 910, 909, 1030 748, 1021, 900, 899, 1020, 1032, 911, 910, 1031 749, 1022, 901, 900, 1021, 1033, 912, 911, 1032 750, 1023, 902, 901, 1022, 1034, 913, 912, 1033 751, 1025, 904, 903, 1024, 1036, 915, 914, 1035 752, 1026, 905, 904, 1025, 1037, 916, 915, 1036 753, 1027, 906, 905, 1026, 1038, 917, 916, 1037 754, 1028, 907, 906, 1027, 1039, 918, 917, 1038 755, 1029, 908, 907, 1028, 1040, 919, 918, 1039 756, 1030, 909, 908, 1029, 1041, 920, 919, 1040 757, 1031, 910, 909, 1030, 1042, 921, 920, 1041 758, 1032, 911, 910, 1031, 1043, 922, 921, 1042 759, 1033, 912, 911, 1032, 1044, 923, 922, 1043 760, 1034, 913, 912, 1033, 1045, 924, 923, 1044 761, 1036, 915, 914, 1035, 1047, 926, 925, 1046 762, 1037, 916, 915, 1036, 1048, 927, 926, 1047 763, 1038, 917, 916, 1037, 1049, 928, 927, 1048 764, 1039, 918, 917, 1038, 1050, 929, 928, 1049 765, 1040, 919, 918, 1039, 1051, 930, 929, 1050 766, 1041, 920, 919, 1040, 1052, 931, 930, 1051 767, 1042, 921, 920, 1041, 1053, 932, 931, 1052 768, 1043, 922, 921, 1042, 1054, 933, 932, 1053 769, 1044, 923, 922, 1043, 1055, 934, 933, 1054 770, 1045, 924, 923, 1044, 1056, 935, 934, 1055 771, 1047, 926, 925, 1046, 1058, 937, 936, 1057 772, 1048, 927, 926, 1047, 1059, 938, 937, 1058 773, 1049, 928, 927, 1048, 1060, 939, 938, 1059 774, 1050, 929, 928, 1049, 1061, 940, 939, 1060 775, 1051, 930, 929, 1050, 1062, 941, 940, 1061 776, 1052, 931, 930, 1051, 1063, 942, 941, 1062 777, 1053, 932, 931, 1052, 1064, 943, 942, 1063 778, 1054, 933, 932, 1053, 1065, 944, 943, 1064 779, 1055, 934, 933, 1054, 1066, 945, 944, 1065 780, 1056, 935, 934, 1055, 1067, 946, 945, 1066 781, 1058, 937, 936, 1057, 1069, 948, 947, 1068 782, 1059, 938, 937, 1058, 1070, 949, 948, 1069 783, 1060, 939, 938, 1059, 1071, 950, 949, 1070 784, 1061, 940, 939, 1060, 1072, 951, 950, 1071 785, 1062, 941, 940, 1061, 1073, 952, 951, 1072 786, 1063, 942, 941, 1062, 1074, 953, 952, 1073 787, 1064, 943, 942, 1063, 1075, 954, 953, 1074 788, 1065, 944, 943, 1064, 1076, 955, 954, 1075 789, 1066, 945, 944, 1065, 1077, 956, 955, 1076 790, 1067, 946, 945, 1066, 1078, 957, 956, 1077 791, 1069, 948, 947, 1068, 1080, 959, 958, 1079 792, 1070, 949, 948, 1069, 1081, 960, 959, 1080 793, 1071, 950, 949, 1070, 1082, 961, 960, 1081 794, 1072, 951, 950, 1071, 1083, 962, 961, 1082 795, 1073, 952, 951, 1072, 1084, 963, 962, 1083 796, 1074, 953, 952, 1073, 1085, 964, 963, 1084 797, 1075, 954, 953, 1074, 1086, 965, 964, 1085 798, 1076, 955, 954, 1075, 1087, 966, 965, 1086 799, 1077, 956, 955, 1076, 1088, 967, 966, 1087 800, 1078, 957, 956, 1077, 1089, 968, 967, 1088 801, 1091, 970, 969, 1090, 1102, 981, 980, 1101 802, 1092, 971, 970, 1091, 1103, 982, 981, 1102 803, 1093, 972, 971, 1092, 1104, 983, 982, 1103 804, 1094, 973, 972, 1093, 1105, 984, 983, 1104 805, 1095, 974, 973, 1094, 1106, 985, 984, 1105 806, 1096, 975, 974, 1095, 1107, 986, 985, 1106 807, 1097, 976, 975, 1096, 1108, 987, 986, 1107 808, 1098, 977, 976, 1097, 1109, 988, 987, 1108 809, 1099, 978, 977, 1098, 1110, 989, 988, 1109 810, 1100, 979, 978, 1099, 1111, 990, 989, 1110 811, 1102, 981, 980, 1101, 1113, 992, 991, 1112 812, 1103, 982, 981, 1102, 1114, 993, 992, 1113 813, 1104, 983, 982, 1103, 1115, 994, 993, 1114 814, 1105, 984, 983, 1104, 1116, 995, 994, 1115 815, 1106, 985, 984, 1105, 1117, 996, 995, 1116 816, 1107, 986, 985, 1106, 1118, 997, 996, 1117 817, 1108, 987, 986, 1107, 1119, 998, 997, 1118 818, 1109, 988, 987, 1108, 1120, 999, 998, 1119 819, 1110, 989, 988, 1109, 1121, 1000, 999, 1120 820, 1111, 990, 989, 1110, 1122, 1001, 1000, 1121 821, 1113, 992, 991, 1112, 1124, 1003, 1002, 1123 822, 1114, 993, 992, 1113, 1125, 1004, 1003, 1124 823, 1115, 994, 993, 1114, 1126, 1005, 1004, 1125 824, 1116, 995, 994, 1115, 1127, 1006, 1005, 1126 825, 1117, 996, 995, 1116, 1128, 1007, 1006, 1127 826, 1118, 997, 996, 1117, 1129, 1008, 1007, 1128 827, 1119, 998, 997, 1118, 1130, 1009, 1008, 1129 828, 1120, 999, 998, 1119, 1131, 1010, 1009, 1130 829, 1121, 1000, 999, 1120, 1132, 1011, 1010, 1131 830, 1122, 1001, 1000, 1121, 1133, 1012, 1011, 1132 831, 1124, 1003, 1002, 1123, 1135, 1014, 1013, 1134 832, 1125, 1004, 1003, 1124, 1136, 1015, 1014, 1135 833, 1126, 1005, 1004, 1125, 1137, 1016, 1015, 1136 834, 1127, 1006, 1005, 1126, 1138, 1017, 1016, 1137 835, 1128, 1007, 1006, 1127, 1139, 1018, 1017, 1138 836, 1129, 1008, 1007, 1128, 1140, 1019, 1018, 1139 837, 1130, 1009, 1008, 1129, 1141, 1020, 1019, 1140 838, 1131, 1010, 1009, 1130, 1142, 1021, 1020, 1141 839, 1132, 1011, 1010, 1131, 1143, 1022, 1021, 1142 840, 1133, 1012, 1011, 1132, 1144, 1023, 1022, 1143 841, 1135, 1014, 1013, 1134, 1146, 1025, 1024, 1145 842, 1136, 1015, 1014, 1135, 1147, 1026, 1025, 1146 843, 1137, 1016, 1015, 1136, 1148, 1027, 1026, 1147 844, 1138, 1017, 1016, 1137, 1149, 1028, 1027, 1148 845, 1139, 1018, 1017, 1138, 1150, 1029, 1028, 1149 846, 1140, 1019, 1018, 1139, 1151, 1030, 1029, 1150 847, 1141, 1020, 1019, 1140, 1152, 1031, 1030, 1151 848, 1142, 1021, 1020, 1141, 1153, 1032, 1031, 1152 849, 1143, 1022, 1021, 1142, 1154, 1033, 1032, 1153 850, 1144, 1023, 1022, 1143, 1155, 1034, 1033, 1154 851, 1146, 1025, 1024, 1145, 1157, 1036, 1035, 1156 852, 1147, 1026, 1025, 1146, 1158, 1037, 1036, 1157 853, 1148, 1027, 1026, 1147, 1159, 1038, 1037, 1158 854, 1149, 1028, 1027, 1148, 1160, 1039, 1038, 1159 855, 1150, 1029, 1028, 1149, 1161, 1040, 1039, 1160 856, 1151, 1030, 1029, 1150, 1162, 1041, 1040, 1161 857, 1152, 1031, 1030, 1151, 1163, 1042, 1041, 1162 858, 1153, 1032, 1031, 1152, 1164, 1043, 1042, 1163 859, 1154, 1033, 1032, 1153, 1165, 1044, 1043, 1164 860, 1155, 1034, 1033, 1154, 1166, 1045, 1044, 1165 861, 1157, 1036, 1035, 1156, 1168, 1047, 1046, 1167 862, 1158, 1037, 1036, 1157, 1169, 1048, 1047, 1168 863, 1159, 1038, 1037, 1158, 1170, 1049, 1048, 1169 864, 1160, 1039, 1038, 1159, 1171, 1050, 1049, 1170 865, 1161, 1040, 1039, 1160, 1172, 1051, 1050, 1171 866, 1162, 1041, 1040, 1161, 1173, 1052, 1051, 1172 867, 1163, 1042, 1041, 1162, 1174, 1053, 1052, 1173 868, 1164, 1043, 1042, 1163, 1175, 1054, 1053, 1174 869, 1165, 1044, 1043, 1164, 1176, 1055, 1054, 1175 870, 1166, 1045, 1044, 1165, 1177, 1056, 1055, 1176 871, 1168, 1047, 1046, 1167, 1179, 1058, 1057, 1178 872, 1169, 1048, 1047, 1168, 1180, 1059, 1058, 1179 873, 1170, 1049, 1048, 1169, 1181, 1060, 1059, 1180 874, 1171, 1050, 1049, 1170, 1182, 1061, 1060, 1181 875, 1172, 1051, 1050, 1171, 1183, 1062, 1061, 1182 876, 1173, 1052, 1051, 1172, 1184, 1063, 1062, 1183 877, 1174, 1053, 1052, 1173, 1185, 1064, 1063, 1184 878, 1175, 1054, 1053, 1174, 1186, 1065, 1064, 1185 879, 1176, 1055, 1054, 1175, 1187, 1066, 1065, 1186 880, 1177, 1056, 1055, 1176, 1188, 1067, 1066, 1187 881, 1179, 1058, 1057, 1178, 1190, 1069, 1068, 1189 882, 1180, 1059, 1058, 1179, 1191, 1070, 1069, 1190 883, 1181, 1060, 1059, 1180, 1192, 1071, 1070, 1191 884, 1182, 1061, 1060, 1181, 1193, 1072, 1071, 1192 885, 1183, 1062, 1061, 1182, 1194, 1073, 1072, 1193 886, 1184, 1063, 1062, 1183, 1195, 1074, 1073, 1194 887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195 888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196 889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197 890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198 891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200 892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201 893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202 894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203 895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204 896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205 897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206 898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207 899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208 900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209 901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222 902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223 903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224 904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225 905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226 906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227 907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228 908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229 909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230 910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231 911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233 912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234 913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235 914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236 915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237 916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238 917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239 918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240 919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241 920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242 921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244 922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245 923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246 924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247 925, 1238, 1117, 1116, 1237, 1249, 1128, 1127, 1248 926, 1239, 1118, 1117, 1238, 1250, 1129, 1128, 1249 927, 1240, 1119, 1118, 1239, 1251, 1130, 1129, 1250 928, 1241, 1120, 1119, 1240, 1252, 1131, 1130, 1251 929, 1242, 1121, 1120, 1241, 1253, 1132, 1131, 1252 930, 1243, 1122, 1121, 1242, 1254, 1133, 1132, 1253 931, 1245, 1124, 1123, 1244, 1256, 1135, 1134, 1255 932, 1246, 1125, 1124, 1245, 1257, 1136, 1135, 1256 933, 1247, 1126, 1125, 1246, 1258, 1137, 1136, 1257 934, 1248, 1127, 1126, 1247, 1259, 1138, 1137, 1258 935, 1249, 1128, 1127, 1248, 1260, 1139, 1138, 1259 936, 1250, 1129, 1128, 1249, 1261, 1140, 1139, 1260 937, 1251, 1130, 1129, 1250, 1262, 1141, 1140, 1261 938, 1252, 1131, 1130, 1251, 1263, 1142, 1141, 1262 939, 1253, 1132, 1131, 1252, 1264, 1143, 1142, 1263 940, 1254, 1133, 1132, 1253, 1265, 1144, 1143, 1264 941, 1256, 1135, 1134, 1255, 1267, 1146, 1145, 1266 942, 1257, 1136, 1135, 1256, 1268, 1147, 1146, 1267 943, 1258, 1137, 1136, 1257, 1269, 1148, 1147, 1268 944, 1259, 1138, 1137, 1258, 1270, 1149, 1148, 1269 945, 1260, 1139, 1138, 1259, 1271, 1150, 1149, 1270 946, 1261, 1140, 1139, 1260, 1272, 1151, 1150, 1271 947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272 948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273 949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274 950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275 951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277 952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278 953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279 954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280 955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281 956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282 957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283 958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284 959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285 960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286 961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288 962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289 963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290 964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291 965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292 966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293 967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294 968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295 969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296 970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297 971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299 972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300 973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301 974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302 975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303 976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304 977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305 978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306 979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307 980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308 981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310 982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311 983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312 984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313 985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314 986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315 987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316 988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317 989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318 990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319 991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321 992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322 993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323 994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324 995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325 996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326 997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327 998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328 999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329 1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330 *End Instance ** *End Assembly **MATERIALS ** *Material, name=MATERIAL-GRAIN1 *Depvar 12, *User Material, constants=300 131.57, 106.934, 219.914, 1, 2, 1, 2, 12 6, 0, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 1, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 16, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 16, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, *Material, name=MATERIAL-GRAIN2 *Depvar 12, *User Material, constants=300 207.046, 89.158, 335.024, 2, 2, 1, 2, 12 6, 0, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 1, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 16, 16, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, *Material, name=MATERIAL-GRAIN3 *Depvar 12, *User Material, constants=300 178.061, 37.773, 321.494, 3, 2, 1, 2, 12 6, 0, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 1, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 16, 16, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, *Material, name=MATERIAL-GRAIN4 *Depvar 12, *User Material, constants=300 234.272, 107.927, 232.783, 4, 2, 1, 2, 12 6, 0, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 1, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 16, 16, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, *Material, name=MATERIAL-GRAIN5 *Depvar 12, *User Material, constants=300 131.024, 82.927, 261.214, 5, 2, 1, 2, 12 6, 0, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 1, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 16, 16, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, *Material, name=MATERIAL-GRAIN6 *Depvar 12, *User Material, constants=300 123.609, 63.988, 170.189, 6, 2, 1, 2, 12 6, 0, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 1, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 16, 16, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, *Material, name=MATERIAL-GRAIN7 *Depvar 12, *User Material, constants=300 78.282, 94.024, 208.666, 7, 2, 1, 2, 12 6, 0, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 1, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 16, 16, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, ** ** ** STEP: Loading ** *Step, name=Loading, nlgeom=YES, inc=10000 *Static 0.01, 10., 1e-05, 1. ** ** OUTPUT REQUESTS ** *Restart, write, frequency=0 ** ** FIELD OUTPUT: F-Output-1 ** *Output, field, variable=PRESELECT ** ** FIELD OUTPUT: F-Output-2 ** *Element Output, directions=YES SDV, ** ** HISTORY OUTPUT: H-Output-1 ** *Output, history, variable=PRESELECT ** *End Step ================================================ FILE: Dream3D2Abaqus/Step-2a Matlab/testcase.vox ================================================ 234.272 107.927 232.783 1 1 1 4 1 234.272 107.927 232.783 2 1 1 4 1 234.272 107.927 232.783 3 1 1 4 1 234.272 107.927 232.783 4 1 1 4 1 234.272 107.927 232.783 5 1 1 4 1 131.024 82.927 261.214 6 1 1 5 1 131.024 82.927 261.214 7 1 1 5 1 131.024 82.927 261.214 8 1 1 5 1 131.024 82.927 261.214 9 1 1 5 1 131.024 82.927 261.214 10 1 1 5 1 234.272 107.927 232.783 1 2 1 4 1 234.272 107.927 232.783 2 2 1 4 1 234.272 107.927 232.783 3 2 1 4 1 234.272 107.927 232.783 4 2 1 4 1 234.272 107.927 232.783 5 2 1 4 1 131.024 82.927 261.214 6 2 1 5 1 131.024 82.927 261.214 7 2 1 5 1 131.024 82.927 261.214 8 2 1 5 1 131.024 82.927 261.214 9 2 1 5 1 131.024 82.927 261.214 10 2 1 5 1 234.272 107.927 232.783 1 3 1 4 1 234.272 107.927 232.783 2 3 1 4 1 234.272 107.927 232.783 3 3 1 4 1 234.272 107.927 232.783 4 3 1 4 1 234.272 107.927 232.783 5 3 1 4 1 131.024 82.927 261.214 6 3 1 5 1 131.024 82.927 261.214 7 3 1 5 1 131.024 82.927 261.214 8 3 1 5 1 131.024 82.927 261.214 9 3 1 5 1 131.024 82.927 261.214 10 3 1 5 1 234.272 107.927 232.783 1 4 1 4 1 234.272 107.927 232.783 2 4 1 4 1 234.272 107.927 232.783 3 4 1 4 1 234.272 107.927 232.783 4 4 1 4 1 207.046 89.158 335.024 5 4 1 2 1 207.046 89.158 335.024 6 4 1 2 1 207.046 89.158 335.024 7 4 1 2 1 131.024 82.927 261.214 8 4 1 5 1 131.024 82.927 261.214 9 4 1 5 1 131.024 82.927 261.214 10 4 1 5 1 78.282 94.024 208.666 1 5 1 7 1 234.272 107.927 232.783 2 5 1 4 1 234.272 107.927 232.783 3 5 1 4 1 207.046 89.158 335.024 4 5 1 2 1 207.046 89.158 335.024 5 5 1 2 1 207.046 89.158 335.024 6 5 1 2 1 207.046 89.158 335.024 7 5 1 2 1 207.046 89.158 335.024 8 5 1 2 1 131.024 82.927 261.214 9 5 1 5 1 131.024 82.927 261.214 10 5 1 5 1 78.282 94.024 208.666 1 6 1 7 1 78.282 94.024 208.666 2 6 1 7 1 78.282 94.024 208.666 3 6 1 7 1 207.046 89.158 335.024 4 6 1 2 1 207.046 89.158 335.024 5 6 1 2 1 207.046 89.158 335.024 6 6 1 2 1 207.046 89.158 335.024 7 6 1 2 1 207.046 89.158 335.024 8 6 1 2 1 207.046 89.158 335.024 9 6 1 2 1 207.046 89.158 335.024 10 6 1 2 1 78.282 94.024 208.666 1 7 1 7 1 78.282 94.024 208.666 2 7 1 7 1 78.282 94.024 208.666 3 7 1 7 1 207.046 89.158 335.024 4 7 1 2 1 207.046 89.158 335.024 5 7 1 2 1 207.046 89.158 335.024 6 7 1 2 1 207.046 89.158 335.024 7 7 1 2 1 207.046 89.158 335.024 8 7 1 2 1 207.046 89.158 335.024 9 7 1 2 1 207.046 89.158 335.024 10 7 1 2 1 78.282 94.024 208.666 1 8 1 7 1 78.282 94.024 208.666 2 8 1 7 1 78.282 94.024 208.666 3 8 1 7 1 207.046 89.158 335.024 4 8 1 2 1 207.046 89.158 335.024 5 8 1 2 1 207.046 89.158 335.024 6 8 1 2 1 207.046 89.158 335.024 7 8 1 2 1 207.046 89.158 335.024 8 8 1 2 1 207.046 89.158 335.024 9 8 1 2 1 207.046 89.158 335.024 10 8 1 2 1 78.282 94.024 208.666 1 9 1 7 1 78.282 94.024 208.666 2 9 1 7 1 207.046 89.158 335.024 3 9 1 2 1 207.046 89.158 335.024 4 9 1 2 1 207.046 89.158 335.024 5 9 1 2 1 207.046 89.158 335.024 6 9 1 2 1 207.046 89.158 335.024 7 9 1 2 1 207.046 89.158 335.024 8 9 1 2 1 207.046 89.158 335.024 9 9 1 2 1 207.046 89.158 335.024 10 9 1 2 1 78.282 94.024 208.666 1 10 1 7 1 78.282 94.024 208.666 2 10 1 7 1 207.046 89.158 335.024 3 10 1 2 1 207.046 89.158 335.024 4 10 1 2 1 207.046 89.158 335.024 5 10 1 2 1 207.046 89.158 335.024 6 10 1 2 1 207.046 89.158 335.024 7 10 1 2 1 207.046 89.158 335.024 8 10 1 2 1 207.046 89.158 335.024 9 10 1 2 1 207.046 89.158 335.024 10 10 1 2 1 234.272 107.927 232.783 1 1 2 4 1 234.272 107.927 232.783 2 1 2 4 1 234.272 107.927 232.783 3 1 2 4 1 234.272 107.927 232.783 4 1 2 4 1 234.272 107.927 232.783 5 1 2 4 1 131.024 82.927 261.214 6 1 2 5 1 131.024 82.927 261.214 7 1 2 5 1 131.024 82.927 261.214 8 1 2 5 1 131.024 82.927 261.214 9 1 2 5 1 131.024 82.927 261.214 10 1 2 5 1 234.272 107.927 232.783 1 2 2 4 1 234.272 107.927 232.783 2 2 2 4 1 234.272 107.927 232.783 3 2 2 4 1 234.272 107.927 232.783 4 2 2 4 1 234.272 107.927 232.783 5 2 2 4 1 131.024 82.927 261.214 6 2 2 5 1 131.024 82.927 261.214 7 2 2 5 1 131.024 82.927 261.214 8 2 2 5 1 131.024 82.927 261.214 9 2 2 5 1 131.024 82.927 261.214 10 2 2 5 1 234.272 107.927 232.783 1 3 2 4 1 234.272 107.927 232.783 2 3 2 4 1 234.272 107.927 232.783 3 3 2 4 1 234.272 107.927 232.783 4 3 2 4 1 234.272 107.927 232.783 5 3 2 4 1 131.024 82.927 261.214 6 3 2 5 1 131.024 82.927 261.214 7 3 2 5 1 131.024 82.927 261.214 8 3 2 5 1 131.024 82.927 261.214 9 3 2 5 1 131.024 82.927 261.214 10 3 2 5 1 234.272 107.927 232.783 1 4 2 4 1 234.272 107.927 232.783 2 4 2 4 1 234.272 107.927 232.783 3 4 2 4 1 234.272 107.927 232.783 4 4 2 4 1 207.046 89.158 335.024 5 4 2 2 1 131.024 82.927 261.214 6 4 2 5 1 131.024 82.927 261.214 7 4 2 5 1 131.024 82.927 261.214 8 4 2 5 1 131.024 82.927 261.214 9 4 2 5 1 131.024 82.927 261.214 10 4 2 5 1 78.282 94.024 208.666 1 5 2 7 1 234.272 107.927 232.783 2 5 2 4 1 234.272 107.927 232.783 3 5 2 4 1 207.046 89.158 335.024 4 5 2 2 1 207.046 89.158 335.024 5 5 2 2 1 207.046 89.158 335.024 6 5 2 2 1 207.046 89.158 335.024 7 5 2 2 1 207.046 89.158 335.024 8 5 2 2 1 131.024 82.927 261.214 9 5 2 5 1 131.024 82.927 261.214 10 5 2 5 1 78.282 94.024 208.666 1 6 2 7 1 78.282 94.024 208.666 2 6 2 7 1 78.282 94.024 208.666 3 6 2 7 1 207.046 89.158 335.024 4 6 2 2 1 207.046 89.158 335.024 5 6 2 2 1 207.046 89.158 335.024 6 6 2 2 1 207.046 89.158 335.024 7 6 2 2 1 207.046 89.158 335.024 8 6 2 2 1 207.046 89.158 335.024 9 6 2 2 1 207.046 89.158 335.024 10 6 2 2 1 78.282 94.024 208.666 1 7 2 7 1 78.282 94.024 208.666 2 7 2 7 1 78.282 94.024 208.666 3 7 2 7 1 207.046 89.158 335.024 4 7 2 2 1 207.046 89.158 335.024 5 7 2 2 1 207.046 89.158 335.024 6 7 2 2 1 207.046 89.158 335.024 7 7 2 2 1 207.046 89.158 335.024 8 7 2 2 1 207.046 89.158 335.024 9 7 2 2 1 207.046 89.158 335.024 10 7 2 2 1 78.282 94.024 208.666 1 8 2 7 1 78.282 94.024 208.666 2 8 2 7 1 78.282 94.024 208.666 3 8 2 7 1 207.046 89.158 335.024 4 8 2 2 1 207.046 89.158 335.024 5 8 2 2 1 207.046 89.158 335.024 6 8 2 2 1 207.046 89.158 335.024 7 8 2 2 1 207.046 89.158 335.024 8 8 2 2 1 207.046 89.158 335.024 9 8 2 2 1 207.046 89.158 335.024 10 8 2 2 1 78.282 94.024 208.666 1 9 2 7 1 78.282 94.024 208.666 2 9 2 7 1 78.282 94.024 208.666 3 9 2 7 1 207.046 89.158 335.024 4 9 2 2 1 207.046 89.158 335.024 5 9 2 2 1 207.046 89.158 335.024 6 9 2 2 1 207.046 89.158 335.024 7 9 2 2 1 207.046 89.158 335.024 8 9 2 2 1 207.046 89.158 335.024 9 9 2 2 1 207.046 89.158 335.024 10 9 2 2 1 78.282 94.024 208.666 1 10 2 7 1 78.282 94.024 208.666 2 10 2 7 1 178.061 37.773 321.494 3 10 2 3 1 207.046 89.158 335.024 4 10 2 2 1 207.046 89.158 335.024 5 10 2 2 1 207.046 89.158 335.024 6 10 2 2 1 207.046 89.158 335.024 7 10 2 2 1 207.046 89.158 335.024 8 10 2 2 1 207.046 89.158 335.024 9 10 2 2 1 207.046 89.158 335.024 10 10 2 2 1 234.272 107.927 232.783 1 1 3 4 1 234.272 107.927 232.783 2 1 3 4 1 234.272 107.927 232.783 3 1 3 4 1 234.272 107.927 232.783 4 1 3 4 1 234.272 107.927 232.783 5 1 3 4 1 131.024 82.927 261.214 6 1 3 5 1 131.024 82.927 261.214 7 1 3 5 1 131.024 82.927 261.214 8 1 3 5 1 131.024 82.927 261.214 9 1 3 5 1 131.024 82.927 261.214 10 1 3 5 1 234.272 107.927 232.783 1 2 3 4 1 234.272 107.927 232.783 2 2 3 4 1 234.272 107.927 232.783 3 2 3 4 1 234.272 107.927 232.783 4 2 3 4 1 234.272 107.927 232.783 5 2 3 4 1 131.024 82.927 261.214 6 2 3 5 1 131.024 82.927 261.214 7 2 3 5 1 131.024 82.927 261.214 8 2 3 5 1 131.024 82.927 261.214 9 2 3 5 1 131.024 82.927 261.214 10 2 3 5 1 234.272 107.927 232.783 1 3 3 4 1 234.272 107.927 232.783 2 3 3 4 1 234.272 107.927 232.783 3 3 3 4 1 234.272 107.927 232.783 4 3 3 4 1 234.272 107.927 232.783 5 3 3 4 1 131.024 82.927 261.214 6 3 3 5 1 131.024 82.927 261.214 7 3 3 5 1 131.024 82.927 261.214 8 3 3 5 1 131.024 82.927 261.214 9 3 3 5 1 131.024 82.927 261.214 10 3 3 5 1 234.272 107.927 232.783 1 4 3 4 1 234.272 107.927 232.783 2 4 3 4 1 234.272 107.927 232.783 3 4 3 4 1 234.272 107.927 232.783 4 4 3 4 1 131.024 82.927 261.214 5 4 3 5 1 131.024 82.927 261.214 6 4 3 5 1 131.024 82.927 261.214 7 4 3 5 1 131.024 82.927 261.214 8 4 3 5 1 131.024 82.927 261.214 9 4 3 5 1 131.024 82.927 261.214 10 4 3 5 1 78.282 94.024 208.666 1 5 3 7 1 78.282 94.024 208.666 2 5 3 7 1 78.282 94.024 208.666 3 5 3 7 1 207.046 89.158 335.024 4 5 3 2 1 207.046 89.158 335.024 5 5 3 2 1 207.046 89.158 335.024 6 5 3 2 1 207.046 89.158 335.024 7 5 3 2 1 131.024 82.927 261.214 8 5 3 5 1 131.024 82.927 261.214 9 5 3 5 1 131.024 82.927 261.214 10 5 3 5 1 78.282 94.024 208.666 1 6 3 7 1 78.282 94.024 208.666 2 6 3 7 1 78.282 94.024 208.666 3 6 3 7 1 207.046 89.158 335.024 4 6 3 2 1 207.046 89.158 335.024 5 6 3 2 1 207.046 89.158 335.024 6 6 3 2 1 207.046 89.158 335.024 7 6 3 2 1 207.046 89.158 335.024 8 6 3 2 1 207.046 89.158 335.024 9 6 3 2 1 131.024 82.927 261.214 10 6 3 5 1 78.282 94.024 208.666 1 7 3 7 1 78.282 94.024 208.666 2 7 3 7 1 78.282 94.024 208.666 3 7 3 7 1 207.046 89.158 335.024 4 7 3 2 1 207.046 89.158 335.024 5 7 3 2 1 207.046 89.158 335.024 6 7 3 2 1 207.046 89.158 335.024 7 7 3 2 1 207.046 89.158 335.024 8 7 3 2 1 207.046 89.158 335.024 9 7 3 2 1 207.046 89.158 335.024 10 7 3 2 1 78.282 94.024 208.666 1 8 3 7 1 78.282 94.024 208.666 2 8 3 7 1 78.282 94.024 208.666 3 8 3 7 1 207.046 89.158 335.024 4 8 3 2 1 207.046 89.158 335.024 5 8 3 2 1 207.046 89.158 335.024 6 8 3 2 1 207.046 89.158 335.024 7 8 3 2 1 207.046 89.158 335.024 8 8 3 2 1 207.046 89.158 335.024 9 8 3 2 1 207.046 89.158 335.024 10 8 3 2 1 78.282 94.024 208.666 1 9 3 7 1 78.282 94.024 208.666 2 9 3 7 1 78.282 94.024 208.666 3 9 3 7 1 207.046 89.158 335.024 4 9 3 2 1 207.046 89.158 335.024 5 9 3 2 1 207.046 89.158 335.024 6 9 3 2 1 207.046 89.158 335.024 7 9 3 2 1 207.046 89.158 335.024 8 9 3 2 1 207.046 89.158 335.024 9 9 3 2 1 207.046 89.158 335.024 10 9 3 2 1 78.282 94.024 208.666 1 10 3 7 1 78.282 94.024 208.666 2 10 3 7 1 178.061 37.773 321.494 3 10 3 3 1 178.061 37.773 321.494 4 10 3 3 1 207.046 89.158 335.024 5 10 3 2 1 207.046 89.158 335.024 6 10 3 2 1 207.046 89.158 335.024 7 10 3 2 1 207.046 89.158 335.024 8 10 3 2 1 207.046 89.158 335.024 9 10 3 2 1 123.609 63.988 170.189 10 10 3 6 1 234.272 107.927 232.783 1 1 4 4 1 234.272 107.927 232.783 2 1 4 4 1 234.272 107.927 232.783 3 1 4 4 1 234.272 107.927 232.783 4 1 4 4 1 234.272 107.927 232.783 5 1 4 4 1 131.024 82.927 261.214 6 1 4 5 1 131.024 82.927 261.214 7 1 4 5 1 131.024 82.927 261.214 8 1 4 5 1 131.024 82.927 261.214 9 1 4 5 1 131.024 82.927 261.214 10 1 4 5 1 234.272 107.927 232.783 1 2 4 4 1 234.272 107.927 232.783 2 2 4 4 1 234.272 107.927 232.783 3 2 4 4 1 234.272 107.927 232.783 4 2 4 4 1 234.272 107.927 232.783 5 2 4 4 1 131.024 82.927 261.214 6 2 4 5 1 131.024 82.927 261.214 7 2 4 5 1 131.024 82.927 261.214 8 2 4 5 1 131.024 82.927 261.214 9 2 4 5 1 131.024 82.927 261.214 10 2 4 5 1 234.272 107.927 232.783 1 3 4 4 1 234.272 107.927 232.783 2 3 4 4 1 234.272 107.927 232.783 3 3 4 4 1 234.272 107.927 232.783 4 3 4 4 1 131.024 82.927 261.214 5 3 4 5 1 131.024 82.927 261.214 6 3 4 5 1 131.024 82.927 261.214 7 3 4 5 1 131.024 82.927 261.214 8 3 4 5 1 131.024 82.927 261.214 9 3 4 5 1 131.024 82.927 261.214 10 3 4 5 1 234.272 107.927 232.783 1 4 4 4 1 234.272 107.927 232.783 2 4 4 4 1 234.272 107.927 232.783 3 4 4 4 1 234.272 107.927 232.783 4 4 4 4 1 131.024 82.927 261.214 5 4 4 5 1 131.024 82.927 261.214 6 4 4 5 1 131.024 82.927 261.214 7 4 4 5 1 131.024 82.927 261.214 8 4 4 5 1 131.024 82.927 261.214 9 4 4 5 1 131.024 82.927 261.214 10 4 4 5 1 78.282 94.024 208.666 1 5 4 7 1 78.282 94.024 208.666 2 5 4 7 1 78.282 94.024 208.666 3 5 4 7 1 207.046 89.158 335.024 4 5 4 2 1 207.046 89.158 335.024 5 5 4 2 1 207.046 89.158 335.024 6 5 4 2 1 131.024 82.927 261.214 7 5 4 5 1 131.024 82.927 261.214 8 5 4 5 1 131.024 82.927 261.214 9 5 4 5 1 131.024 82.927 261.214 10 5 4 5 1 78.282 94.024 208.666 1 6 4 7 1 78.282 94.024 208.666 2 6 4 7 1 78.282 94.024 208.666 3 6 4 7 1 207.046 89.158 335.024 4 6 4 2 1 207.046 89.158 335.024 5 6 4 2 1 207.046 89.158 335.024 6 6 4 2 1 207.046 89.158 335.024 7 6 4 2 1 207.046 89.158 335.024 8 6 4 2 1 207.046 89.158 335.024 9 6 4 2 1 131.024 82.927 261.214 10 6 4 5 1 78.282 94.024 208.666 1 7 4 7 1 78.282 94.024 208.666 2 7 4 7 1 78.282 94.024 208.666 3 7 4 7 1 207.046 89.158 335.024 4 7 4 2 1 207.046 89.158 335.024 5 7 4 2 1 207.046 89.158 335.024 6 7 4 2 1 207.046 89.158 335.024 7 7 4 2 1 207.046 89.158 335.024 8 7 4 2 1 207.046 89.158 335.024 9 7 4 2 1 123.609 63.988 170.189 10 7 4 6 1 78.282 94.024 208.666 1 8 4 7 1 78.282 94.024 208.666 2 8 4 7 1 78.282 94.024 208.666 3 8 4 7 1 178.061 37.773 321.494 4 8 4 3 1 207.046 89.158 335.024 5 8 4 2 1 207.046 89.158 335.024 6 8 4 2 1 207.046 89.158 335.024 7 8 4 2 1 207.046 89.158 335.024 8 8 4 2 1 207.046 89.158 335.024 9 8 4 2 1 123.609 63.988 170.189 10 8 4 6 1 78.282 94.024 208.666 1 9 4 7 1 78.282 94.024 208.666 2 9 4 7 1 178.061 37.773 321.494 3 9 4 3 1 178.061 37.773 321.494 4 9 4 3 1 207.046 89.158 335.024 5 9 4 2 1 207.046 89.158 335.024 6 9 4 2 1 207.046 89.158 335.024 7 9 4 2 1 207.046 89.158 335.024 8 9 4 2 1 123.609 63.988 170.189 9 9 4 6 1 123.609 63.988 170.189 10 9 4 6 1 178.061 37.773 321.494 1 10 4 3 1 178.061 37.773 321.494 2 10 4 3 1 178.061 37.773 321.494 3 10 4 3 1 178.061 37.773 321.494 4 10 4 3 1 178.061 37.773 321.494 5 10 4 3 1 178.061 37.773 321.494 6 10 4 3 1 207.046 89.158 335.024 7 10 4 2 1 123.609 63.988 170.189 8 10 4 6 1 123.609 63.988 170.189 9 10 4 6 1 123.609 63.988 170.189 10 10 4 6 1 234.272 107.927 232.783 1 1 5 4 1 234.272 107.927 232.783 2 1 5 4 1 234.272 107.927 232.783 3 1 5 4 1 234.272 107.927 232.783 4 1 5 4 1 234.272 107.927 232.783 5 1 5 4 1 131.024 82.927 261.214 6 1 5 5 1 131.024 82.927 261.214 7 1 5 5 1 131.024 82.927 261.214 8 1 5 5 1 131.024 82.927 261.214 9 1 5 5 1 131.024 82.927 261.214 10 1 5 5 1 234.272 107.927 232.783 1 2 5 4 1 234.272 107.927 232.783 2 2 5 4 1 234.272 107.927 232.783 3 2 5 4 1 234.272 107.927 232.783 4 2 5 4 1 234.272 107.927 232.783 5 2 5 4 1 131.024 82.927 261.214 6 2 5 5 1 131.024 82.927 261.214 7 2 5 5 1 131.024 82.927 261.214 8 2 5 5 1 131.024 82.927 261.214 9 2 5 5 1 131.024 82.927 261.214 10 2 5 5 1 234.272 107.927 232.783 1 3 5 4 1 234.272 107.927 232.783 2 3 5 4 1 234.272 107.927 232.783 3 3 5 4 1 234.272 107.927 232.783 4 3 5 4 1 131.024 82.927 261.214 5 3 5 5 1 131.024 82.927 261.214 6 3 5 5 1 131.024 82.927 261.214 7 3 5 5 1 131.024 82.927 261.214 8 3 5 5 1 131.024 82.927 261.214 9 3 5 5 1 131.024 82.927 261.214 10 3 5 5 1 234.272 107.927 232.783 1 4 5 4 1 234.272 107.927 232.783 2 4 5 4 1 234.272 107.927 232.783 3 4 5 4 1 234.272 107.927 232.783 4 4 5 4 1 131.024 82.927 261.214 5 4 5 5 1 131.024 82.927 261.214 6 4 5 5 1 131.024 82.927 261.214 7 4 5 5 1 131.024 82.927 261.214 8 4 5 5 1 131.024 82.927 261.214 9 4 5 5 1 131.024 82.927 261.214 10 4 5 5 1 78.282 94.024 208.666 1 5 5 7 1 78.282 94.024 208.666 2 5 5 7 1 178.061 37.773 321.494 3 5 5 3 1 178.061 37.773 321.494 4 5 5 3 1 178.061 37.773 321.494 5 5 5 3 1 207.046 89.158 335.024 6 5 5 2 1 131.024 82.927 261.214 7 5 5 5 1 131.024 82.927 261.214 8 5 5 5 1 131.024 82.927 261.214 9 5 5 5 1 131.024 82.927 261.214 10 5 5 5 1 78.282 94.024 208.666 1 6 5 7 1 78.282 94.024 208.666 2 6 5 7 1 178.061 37.773 321.494 3 6 5 3 1 178.061 37.773 321.494 4 6 5 3 1 178.061 37.773 321.494 5 6 5 3 1 207.046 89.158 335.024 6 6 5 2 1 207.046 89.158 335.024 7 6 5 2 1 207.046 89.158 335.024 8 6 5 2 1 207.046 89.158 335.024 9 6 5 2 1 123.609 63.988 170.189 10 6 5 6 1 78.282 94.024 208.666 1 7 5 7 1 78.282 94.024 208.666 2 7 5 7 1 178.061 37.773 321.494 3 7 5 3 1 178.061 37.773 321.494 4 7 5 3 1 178.061 37.773 321.494 5 7 5 3 1 207.046 89.158 335.024 6 7 5 2 1 207.046 89.158 335.024 7 7 5 2 1 207.046 89.158 335.024 8 7 5 2 1 123.609 63.988 170.189 9 7 5 6 1 123.609 63.988 170.189 10 7 5 6 1 78.282 94.024 208.666 1 8 5 7 1 78.282 94.024 208.666 2 8 5 7 1 178.061 37.773 321.494 3 8 5 3 1 178.061 37.773 321.494 4 8 5 3 1 178.061 37.773 321.494 5 8 5 3 1 207.046 89.158 335.024 6 8 5 2 1 207.046 89.158 335.024 7 8 5 2 1 123.609 63.988 170.189 8 8 5 6 1 123.609 63.988 170.189 9 8 5 6 1 123.609 63.988 170.189 10 8 5 6 1 178.061 37.773 321.494 1 9 5 3 1 178.061 37.773 321.494 2 9 5 3 1 178.061 37.773 321.494 3 9 5 3 1 178.061 37.773 321.494 4 9 5 3 1 178.061 37.773 321.494 5 9 5 3 1 178.061 37.773 321.494 6 9 5 3 1 123.609 63.988 170.189 7 9 5 6 1 123.609 63.988 170.189 8 9 5 6 1 123.609 63.988 170.189 9 9 5 6 1 123.609 63.988 170.189 10 9 5 6 1 178.061 37.773 321.494 1 10 5 3 1 178.061 37.773 321.494 2 10 5 3 1 178.061 37.773 321.494 3 10 5 3 1 178.061 37.773 321.494 4 10 5 3 1 178.061 37.773 321.494 5 10 5 3 1 178.061 37.773 321.494 6 10 5 3 1 123.609 63.988 170.189 7 10 5 6 1 123.609 63.988 170.189 8 10 5 6 1 123.609 63.988 170.189 9 10 5 6 1 123.609 63.988 170.189 10 10 5 6 1 234.272 107.927 232.783 1 1 6 4 1 234.272 107.927 232.783 2 1 6 4 1 234.272 107.927 232.783 3 1 6 4 1 234.272 107.927 232.783 4 1 6 4 1 131.570 106.934 219.914 5 1 6 1 1 131.570 106.934 219.914 6 1 6 1 1 131.024 82.927 261.214 7 1 6 5 1 131.024 82.927 261.214 8 1 6 5 1 131.024 82.927 261.214 9 1 6 5 1 131.024 82.927 261.214 10 1 6 5 1 234.272 107.927 232.783 1 2 6 4 1 234.272 107.927 232.783 2 2 6 4 1 234.272 107.927 232.783 3 2 6 4 1 234.272 107.927 232.783 4 2 6 4 1 131.570 106.934 219.914 5 2 6 1 1 131.570 106.934 219.914 6 2 6 1 1 131.024 82.927 261.214 7 2 6 5 1 131.024 82.927 261.214 8 2 6 5 1 131.024 82.927 261.214 9 2 6 5 1 131.024 82.927 261.214 10 2 6 5 1 234.272 107.927 232.783 1 3 6 4 1 234.272 107.927 232.783 2 3 6 4 1 234.272 107.927 232.783 3 3 6 4 1 234.272 107.927 232.783 4 3 6 4 1 131.024 82.927 261.214 5 3 6 5 1 131.024 82.927 261.214 6 3 6 5 1 131.024 82.927 261.214 7 3 6 5 1 131.024 82.927 261.214 8 3 6 5 1 131.024 82.927 261.214 9 3 6 5 1 131.024 82.927 261.214 10 3 6 5 1 234.272 107.927 232.783 1 4 6 4 1 234.272 107.927 232.783 2 4 6 4 1 234.272 107.927 232.783 3 4 6 4 1 178.061 37.773 321.494 4 4 6 3 1 178.061 37.773 321.494 5 4 6 3 1 131.024 82.927 261.214 6 4 6 5 1 131.024 82.927 261.214 7 4 6 5 1 131.024 82.927 261.214 8 4 6 5 1 131.024 82.927 261.214 9 4 6 5 1 131.024 82.927 261.214 10 4 6 5 1 178.061 37.773 321.494 1 5 6 3 1 178.061 37.773 321.494 2 5 6 3 1 178.061 37.773 321.494 3 5 6 3 1 178.061 37.773 321.494 4 5 6 3 1 178.061 37.773 321.494 5 5 6 3 1 178.061 37.773 321.494 6 5 6 3 1 131.024 82.927 261.214 7 5 6 5 1 131.024 82.927 261.214 8 5 6 5 1 131.024 82.927 261.214 9 5 6 5 1 131.024 82.927 261.214 10 5 6 5 1 178.061 37.773 321.494 1 6 6 3 1 178.061 37.773 321.494 2 6 6 3 1 178.061 37.773 321.494 3 6 6 3 1 178.061 37.773 321.494 4 6 6 3 1 178.061 37.773 321.494 5 6 6 3 1 178.061 37.773 321.494 6 6 6 3 1 178.061 37.773 321.494 7 6 6 3 1 123.609 63.988 170.189 8 6 6 6 1 123.609 63.988 170.189 9 6 6 6 1 123.609 63.988 170.189 10 6 6 6 1 178.061 37.773 321.494 1 7 6 3 1 178.061 37.773 321.494 2 7 6 3 1 178.061 37.773 321.494 3 7 6 3 1 178.061 37.773 321.494 4 7 6 3 1 178.061 37.773 321.494 5 7 6 3 1 178.061 37.773 321.494 6 7 6 3 1 178.061 37.773 321.494 7 7 6 3 1 123.609 63.988 170.189 8 7 6 6 1 123.609 63.988 170.189 9 7 6 6 1 123.609 63.988 170.189 10 7 6 6 1 178.061 37.773 321.494 1 8 6 3 1 178.061 37.773 321.494 2 8 6 3 1 178.061 37.773 321.494 3 8 6 3 1 178.061 37.773 321.494 4 8 6 3 1 178.061 37.773 321.494 5 8 6 3 1 178.061 37.773 321.494 6 8 6 3 1 178.061 37.773 321.494 7 8 6 3 1 123.609 63.988 170.189 8 8 6 6 1 123.609 63.988 170.189 9 8 6 6 1 123.609 63.988 170.189 10 8 6 6 1 178.061 37.773 321.494 1 9 6 3 1 178.061 37.773 321.494 2 9 6 3 1 178.061 37.773 321.494 3 9 6 3 1 178.061 37.773 321.494 4 9 6 3 1 178.061 37.773 321.494 5 9 6 3 1 178.061 37.773 321.494 6 9 6 3 1 178.061 37.773 321.494 7 9 6 3 1 123.609 63.988 170.189 8 9 6 6 1 123.609 63.988 170.189 9 9 6 6 1 123.609 63.988 170.189 10 9 6 6 1 178.061 37.773 321.494 1 10 6 3 1 178.061 37.773 321.494 2 10 6 3 1 178.061 37.773 321.494 3 10 6 3 1 178.061 37.773 321.494 4 10 6 3 1 178.061 37.773 321.494 5 10 6 3 1 178.061 37.773 321.494 6 10 6 3 1 123.609 63.988 170.189 7 10 6 6 1 123.609 63.988 170.189 8 10 6 6 1 123.609 63.988 170.189 9 10 6 6 1 123.609 63.988 170.189 10 10 6 6 1 234.272 107.927 232.783 1 1 7 4 1 234.272 107.927 232.783 2 1 7 4 1 234.272 107.927 232.783 3 1 7 4 1 131.570 106.934 219.914 4 1 7 1 1 131.570 106.934 219.914 5 1 7 1 1 131.570 106.934 219.914 6 1 7 1 1 131.570 106.934 219.914 7 1 7 1 1 131.570 106.934 219.914 8 1 7 1 1 131.570 106.934 219.914 9 1 7 1 1 131.024 82.927 261.214 10 1 7 5 1 234.272 107.927 232.783 1 2 7 4 1 234.272 107.927 232.783 2 2 7 4 1 131.570 106.934 219.914 3 2 7 1 1 131.570 106.934 219.914 4 2 7 1 1 131.570 106.934 219.914 5 2 7 1 1 131.570 106.934 219.914 6 2 7 1 1 131.570 106.934 219.914 7 2 7 1 1 131.570 106.934 219.914 8 2 7 1 1 131.024 82.927 261.214 9 2 7 5 1 131.024 82.927 261.214 10 2 7 5 1 234.272 107.927 232.783 1 3 7 4 1 234.272 107.927 232.783 2 3 7 4 1 234.272 107.927 232.783 3 3 7 4 1 131.570 106.934 219.914 4 3 7 1 1 131.570 106.934 219.914 5 3 7 1 1 131.570 106.934 219.914 6 3 7 1 1 131.570 106.934 219.914 7 3 7 1 1 131.024 82.927 261.214 8 3 7 5 1 131.024 82.927 261.214 9 3 7 5 1 131.024 82.927 261.214 10 3 7 5 1 178.061 37.773 321.494 1 4 7 3 1 178.061 37.773 321.494 2 4 7 3 1 178.061 37.773 321.494 3 4 7 3 1 178.061 37.773 321.494 4 4 7 3 1 131.570 106.934 219.914 5 4 7 1 1 131.570 106.934 219.914 6 4 7 1 1 131.024 82.927 261.214 7 4 7 5 1 131.024 82.927 261.214 8 4 7 5 1 131.024 82.927 261.214 9 4 7 5 1 131.024 82.927 261.214 10 4 7 5 1 178.061 37.773 321.494 1 5 7 3 1 178.061 37.773 321.494 2 5 7 3 1 178.061 37.773 321.494 3 5 7 3 1 178.061 37.773 321.494 4 5 7 3 1 178.061 37.773 321.494 5 5 7 3 1 178.061 37.773 321.494 6 5 7 3 1 178.061 37.773 321.494 7 5 7 3 1 131.024 82.927 261.214 8 5 7 5 1 123.609 63.988 170.189 9 5 7 6 1 123.609 63.988 170.189 10 5 7 6 1 178.061 37.773 321.494 1 6 7 3 1 178.061 37.773 321.494 2 6 7 3 1 178.061 37.773 321.494 3 6 7 3 1 178.061 37.773 321.494 4 6 7 3 1 178.061 37.773 321.494 5 6 7 3 1 178.061 37.773 321.494 6 6 7 3 1 178.061 37.773 321.494 7 6 7 3 1 123.609 63.988 170.189 8 6 7 6 1 123.609 63.988 170.189 9 6 7 6 1 123.609 63.988 170.189 10 6 7 6 1 178.061 37.773 321.494 1 7 7 3 1 178.061 37.773 321.494 2 7 7 3 1 178.061 37.773 321.494 3 7 7 3 1 178.061 37.773 321.494 4 7 7 3 1 178.061 37.773 321.494 5 7 7 3 1 178.061 37.773 321.494 6 7 7 3 1 178.061 37.773 321.494 7 7 7 3 1 123.609 63.988 170.189 8 7 7 6 1 123.609 63.988 170.189 9 7 7 6 1 123.609 63.988 170.189 10 7 7 6 1 178.061 37.773 321.494 1 8 7 3 1 178.061 37.773 321.494 2 8 7 3 1 178.061 37.773 321.494 3 8 7 3 1 178.061 37.773 321.494 4 8 7 3 1 178.061 37.773 321.494 5 8 7 3 1 178.061 37.773 321.494 6 8 7 3 1 178.061 37.773 321.494 7 8 7 3 1 123.609 63.988 170.189 8 8 7 6 1 123.609 63.988 170.189 9 8 7 6 1 123.609 63.988 170.189 10 8 7 6 1 178.061 37.773 321.494 1 9 7 3 1 178.061 37.773 321.494 2 9 7 3 1 178.061 37.773 321.494 3 9 7 3 1 178.061 37.773 321.494 4 9 7 3 1 178.061 37.773 321.494 5 9 7 3 1 178.061 37.773 321.494 6 9 7 3 1 178.061 37.773 321.494 7 9 7 3 1 123.609 63.988 170.189 8 9 7 6 1 123.609 63.988 170.189 9 9 7 6 1 123.609 63.988 170.189 10 9 7 6 1 178.061 37.773 321.494 1 10 7 3 1 178.061 37.773 321.494 2 10 7 3 1 178.061 37.773 321.494 3 10 7 3 1 178.061 37.773 321.494 4 10 7 3 1 178.061 37.773 321.494 5 10 7 3 1 178.061 37.773 321.494 6 10 7 3 1 178.061 37.773 321.494 7 10 7 3 1 123.609 63.988 170.189 8 10 7 6 1 123.609 63.988 170.189 9 10 7 6 1 123.609 63.988 170.189 10 10 7 6 1 234.272 107.927 232.783 1 1 8 4 1 131.570 106.934 219.914 2 1 8 1 1 131.570 106.934 219.914 3 1 8 1 1 131.570 106.934 219.914 4 1 8 1 1 131.570 106.934 219.914 5 1 8 1 1 131.570 106.934 219.914 6 1 8 1 1 131.570 106.934 219.914 7 1 8 1 1 131.570 106.934 219.914 8 1 8 1 1 131.570 106.934 219.914 9 1 8 1 1 131.570 106.934 219.914 10 1 8 1 1 234.272 107.927 232.783 1 2 8 4 1 131.570 106.934 219.914 2 2 8 1 1 131.570 106.934 219.914 3 2 8 1 1 131.570 106.934 219.914 4 2 8 1 1 131.570 106.934 219.914 5 2 8 1 1 131.570 106.934 219.914 6 2 8 1 1 131.570 106.934 219.914 7 2 8 1 1 131.570 106.934 219.914 8 2 8 1 1 131.570 106.934 219.914 9 2 8 1 1 131.570 106.934 219.914 10 2 8 1 1 234.272 107.927 232.783 1 3 8 4 1 131.570 106.934 219.914 2 3 8 1 1 131.570 106.934 219.914 3 3 8 1 1 131.570 106.934 219.914 4 3 8 1 1 131.570 106.934 219.914 5 3 8 1 1 131.570 106.934 219.914 6 3 8 1 1 131.570 106.934 219.914 7 3 8 1 1 131.570 106.934 219.914 8 3 8 1 1 131.570 106.934 219.914 9 3 8 1 1 131.570 106.934 219.914 10 3 8 1 1 178.061 37.773 321.494 1 4 8 3 1 178.061 37.773 321.494 2 4 8 3 1 178.061 37.773 321.494 3 4 8 3 1 131.570 106.934 219.914 4 4 8 1 1 131.570 106.934 219.914 5 4 8 1 1 131.570 106.934 219.914 6 4 8 1 1 131.570 106.934 219.914 7 4 8 1 1 131.570 106.934 219.914 8 4 8 1 1 131.570 106.934 219.914 9 4 8 1 1 131.024 82.927 261.214 10 4 8 5 1 178.061 37.773 321.494 1 5 8 3 1 178.061 37.773 321.494 2 5 8 3 1 178.061 37.773 321.494 3 5 8 3 1 178.061 37.773 321.494 4 5 8 3 1 178.061 37.773 321.494 5 5 8 3 1 178.061 37.773 321.494 6 5 8 3 1 178.061 37.773 321.494 7 5 8 3 1 123.609 63.988 170.189 8 5 8 6 1 123.609 63.988 170.189 9 5 8 6 1 123.609 63.988 170.189 10 5 8 6 1 178.061 37.773 321.494 1 6 8 3 1 178.061 37.773 321.494 2 6 8 3 1 178.061 37.773 321.494 3 6 8 3 1 178.061 37.773 321.494 4 6 8 3 1 178.061 37.773 321.494 5 6 8 3 1 178.061 37.773 321.494 6 6 8 3 1 178.061 37.773 321.494 7 6 8 3 1 123.609 63.988 170.189 8 6 8 6 1 123.609 63.988 170.189 9 6 8 6 1 123.609 63.988 170.189 10 6 8 6 1 178.061 37.773 321.494 1 7 8 3 1 178.061 37.773 321.494 2 7 8 3 1 178.061 37.773 321.494 3 7 8 3 1 178.061 37.773 321.494 4 7 8 3 1 178.061 37.773 321.494 5 7 8 3 1 178.061 37.773 321.494 6 7 8 3 1 178.061 37.773 321.494 7 7 8 3 1 123.609 63.988 170.189 8 7 8 6 1 123.609 63.988 170.189 9 7 8 6 1 123.609 63.988 170.189 10 7 8 6 1 178.061 37.773 321.494 1 8 8 3 1 178.061 37.773 321.494 2 8 8 3 1 178.061 37.773 321.494 3 8 8 3 1 178.061 37.773 321.494 4 8 8 3 1 178.061 37.773 321.494 5 8 8 3 1 178.061 37.773 321.494 6 8 8 3 1 178.061 37.773 321.494 7 8 8 3 1 123.609 63.988 170.189 8 8 8 6 1 123.609 63.988 170.189 9 8 8 6 1 123.609 63.988 170.189 10 8 8 6 1 178.061 37.773 321.494 1 9 8 3 1 178.061 37.773 321.494 2 9 8 3 1 178.061 37.773 321.494 3 9 8 3 1 178.061 37.773 321.494 4 9 8 3 1 178.061 37.773 321.494 5 9 8 3 1 178.061 37.773 321.494 6 9 8 3 1 178.061 37.773 321.494 7 9 8 3 1 123.609 63.988 170.189 8 9 8 6 1 123.609 63.988 170.189 9 9 8 6 1 123.609 63.988 170.189 10 9 8 6 1 178.061 37.773 321.494 1 10 8 3 1 178.061 37.773 321.494 2 10 8 3 1 178.061 37.773 321.494 3 10 8 3 1 178.061 37.773 321.494 4 10 8 3 1 178.061 37.773 321.494 5 10 8 3 1 178.061 37.773 321.494 6 10 8 3 1 178.061 37.773 321.494 7 10 8 3 1 123.609 63.988 170.189 8 10 8 6 1 123.609 63.988 170.189 9 10 8 6 1 123.609 63.988 170.189 10 10 8 6 1 131.570 106.934 219.914 1 1 9 1 1 131.570 106.934 219.914 2 1 9 1 1 131.570 106.934 219.914 3 1 9 1 1 131.570 106.934 219.914 4 1 9 1 1 131.570 106.934 219.914 5 1 9 1 1 131.570 106.934 219.914 6 1 9 1 1 131.570 106.934 219.914 7 1 9 1 1 131.570 106.934 219.914 8 1 9 1 1 131.570 106.934 219.914 9 1 9 1 1 131.570 106.934 219.914 10 1 9 1 1 131.570 106.934 219.914 1 2 9 1 1 131.570 106.934 219.914 2 2 9 1 1 131.570 106.934 219.914 3 2 9 1 1 131.570 106.934 219.914 4 2 9 1 1 131.570 106.934 219.914 5 2 9 1 1 131.570 106.934 219.914 6 2 9 1 1 131.570 106.934 219.914 7 2 9 1 1 131.570 106.934 219.914 8 2 9 1 1 131.570 106.934 219.914 9 2 9 1 1 131.570 106.934 219.914 10 2 9 1 1 131.570 106.934 219.914 1 3 9 1 1 131.570 106.934 219.914 2 3 9 1 1 131.570 106.934 219.914 3 3 9 1 1 131.570 106.934 219.914 4 3 9 1 1 131.570 106.934 219.914 5 3 9 1 1 131.570 106.934 219.914 6 3 9 1 1 131.570 106.934 219.914 7 3 9 1 1 131.570 106.934 219.914 8 3 9 1 1 131.570 106.934 219.914 9 3 9 1 1 131.570 106.934 219.914 10 3 9 1 1 178.061 37.773 321.494 1 4 9 3 1 178.061 37.773 321.494 2 4 9 3 1 131.570 106.934 219.914 3 4 9 1 1 131.570 106.934 219.914 4 4 9 1 1 131.570 106.934 219.914 5 4 9 1 1 131.570 106.934 219.914 6 4 9 1 1 131.570 106.934 219.914 7 4 9 1 1 131.570 106.934 219.914 8 4 9 1 1 131.570 106.934 219.914 9 4 9 1 1 131.570 106.934 219.914 10 4 9 1 1 178.061 37.773 321.494 1 5 9 3 1 178.061 37.773 321.494 2 5 9 3 1 178.061 37.773 321.494 3 5 9 3 1 178.061 37.773 321.494 4 5 9 3 1 131.570 106.934 219.914 5 5 9 1 1 131.570 106.934 219.914 6 5 9 1 1 131.570 106.934 219.914 7 5 9 1 1 131.570 106.934 219.914 8 5 9 1 1 131.570 106.934 219.914 9 5 9 1 1 123.609 63.988 170.189 10 5 9 6 1 178.061 37.773 321.494 1 6 9 3 1 178.061 37.773 321.494 2 6 9 3 1 178.061 37.773 321.494 3 6 9 3 1 178.061 37.773 321.494 4 6 9 3 1 178.061 37.773 321.494 5 6 9 3 1 178.061 37.773 321.494 6 6 9 3 1 178.061 37.773 321.494 7 6 9 3 1 123.609 63.988 170.189 8 6 9 6 1 123.609 63.988 170.189 9 6 9 6 1 123.609 63.988 170.189 10 6 9 6 1 178.061 37.773 321.494 1 7 9 3 1 178.061 37.773 321.494 2 7 9 3 1 178.061 37.773 321.494 3 7 9 3 1 178.061 37.773 321.494 4 7 9 3 1 178.061 37.773 321.494 5 7 9 3 1 178.061 37.773 321.494 6 7 9 3 1 178.061 37.773 321.494 7 7 9 3 1 123.609 63.988 170.189 8 7 9 6 1 123.609 63.988 170.189 9 7 9 6 1 123.609 63.988 170.189 10 7 9 6 1 178.061 37.773 321.494 1 8 9 3 1 178.061 37.773 321.494 2 8 9 3 1 178.061 37.773 321.494 3 8 9 3 1 178.061 37.773 321.494 4 8 9 3 1 178.061 37.773 321.494 5 8 9 3 1 178.061 37.773 321.494 6 8 9 3 1 178.061 37.773 321.494 7 8 9 3 1 123.609 63.988 170.189 8 8 9 6 1 123.609 63.988 170.189 9 8 9 6 1 123.609 63.988 170.189 10 8 9 6 1 178.061 37.773 321.494 1 9 9 3 1 178.061 37.773 321.494 2 9 9 3 1 178.061 37.773 321.494 3 9 9 3 1 178.061 37.773 321.494 4 9 9 3 1 178.061 37.773 321.494 5 9 9 3 1 178.061 37.773 321.494 6 9 9 3 1 178.061 37.773 321.494 7 9 9 3 1 123.609 63.988 170.189 8 9 9 6 1 123.609 63.988 170.189 9 9 9 6 1 123.609 63.988 170.189 10 9 9 6 1 178.061 37.773 321.494 1 10 9 3 1 178.061 37.773 321.494 2 10 9 3 1 178.061 37.773 321.494 3 10 9 3 1 178.061 37.773 321.494 4 10 9 3 1 178.061 37.773 321.494 5 10 9 3 1 178.061 37.773 321.494 6 10 9 3 1 178.061 37.773 321.494 7 10 9 3 1 123.609 63.988 170.189 8 10 9 6 1 123.609 63.988 170.189 9 10 9 6 1 123.609 63.988 170.189 10 10 9 6 1 131.570 106.934 219.914 1 1 10 1 1 131.570 106.934 219.914 2 1 10 1 1 131.570 106.934 219.914 3 1 10 1 1 131.570 106.934 219.914 4 1 10 1 1 131.570 106.934 219.914 5 1 10 1 1 131.570 106.934 219.914 6 1 10 1 1 131.570 106.934 219.914 7 1 10 1 1 131.570 106.934 219.914 8 1 10 1 1 131.570 106.934 219.914 9 1 10 1 1 131.570 106.934 219.914 10 1 10 1 1 131.570 106.934 219.914 1 2 10 1 1 131.570 106.934 219.914 2 2 10 1 1 131.570 106.934 219.914 3 2 10 1 1 131.570 106.934 219.914 4 2 10 1 1 131.570 106.934 219.914 5 2 10 1 1 131.570 106.934 219.914 6 2 10 1 1 131.570 106.934 219.914 7 2 10 1 1 131.570 106.934 219.914 8 2 10 1 1 131.570 106.934 219.914 9 2 10 1 1 131.570 106.934 219.914 10 2 10 1 1 131.570 106.934 219.914 1 3 10 1 1 131.570 106.934 219.914 2 3 10 1 1 131.570 106.934 219.914 3 3 10 1 1 131.570 106.934 219.914 4 3 10 1 1 131.570 106.934 219.914 5 3 10 1 1 131.570 106.934 219.914 6 3 10 1 1 131.570 106.934 219.914 7 3 10 1 1 131.570 106.934 219.914 8 3 10 1 1 131.570 106.934 219.914 9 3 10 1 1 131.570 106.934 219.914 10 3 10 1 1 131.570 106.934 219.914 1 4 10 1 1 131.570 106.934 219.914 2 4 10 1 1 131.570 106.934 219.914 3 4 10 1 1 131.570 106.934 219.914 4 4 10 1 1 131.570 106.934 219.914 5 4 10 1 1 131.570 106.934 219.914 6 4 10 1 1 131.570 106.934 219.914 7 4 10 1 1 131.570 106.934 219.914 8 4 10 1 1 131.570 106.934 219.914 9 4 10 1 1 131.570 106.934 219.914 10 4 10 1 1 178.061 37.773 321.494 1 5 10 3 1 178.061 37.773 321.494 2 5 10 3 1 178.061 37.773 321.494 3 5 10 3 1 131.570 106.934 219.914 4 5 10 1 1 131.570 106.934 219.914 5 5 10 1 1 131.570 106.934 219.914 6 5 10 1 1 131.570 106.934 219.914 7 5 10 1 1 131.570 106.934 219.914 8 5 10 1 1 131.570 106.934 219.914 9 5 10 1 1 131.570 106.934 219.914 10 5 10 1 1 178.061 37.773 321.494 1 6 10 3 1 178.061 37.773 321.494 2 6 10 3 1 178.061 37.773 321.494 3 6 10 3 1 178.061 37.773 321.494 4 6 10 3 1 178.061 37.773 321.494 5 6 10 3 1 178.061 37.773 321.494 6 6 10 3 1 178.061 37.773 321.494 7 6 10 3 1 123.609 63.988 170.189 8 6 10 6 1 123.609 63.988 170.189 9 6 10 6 1 123.609 63.988 170.189 10 6 10 6 1 178.061 37.773 321.494 1 7 10 3 1 178.061 37.773 321.494 2 7 10 3 1 178.061 37.773 321.494 3 7 10 3 1 178.061 37.773 321.494 4 7 10 3 1 178.061 37.773 321.494 5 7 10 3 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456, 577, 589, 468, 467, 588 386, 579, 458, 457, 578, 590, 469, 468, 589 387, 580, 459, 458, 579, 591, 470, 469, 590 388, 581, 460, 459, 580, 592, 471, 470, 591 389, 582, 461, 460, 581, 593, 472, 471, 592 390, 583, 462, 461, 582, 594, 473, 472, 593 391, 585, 464, 463, 584, 596, 475, 474, 595 392, 586, 465, 464, 585, 597, 476, 475, 596 393, 587, 466, 465, 586, 598, 477, 476, 597 394, 588, 467, 466, 587, 599, 478, 477, 598 395, 589, 468, 467, 588, 600, 479, 478, 599 396, 590, 469, 468, 589, 601, 480, 479, 600 397, 591, 470, 469, 590, 602, 481, 480, 601 398, 592, 471, 470, 591, 603, 482, 481, 602 399, 593, 472, 471, 592, 604, 483, 482, 603 400, 594, 473, 472, 593, 605, 484, 483, 604 401, 607, 486, 485, 606, 618, 497, 496, 617 402, 608, 487, 486, 607, 619, 498, 497, 618 403, 609, 488, 487, 608, 620, 499, 498, 619 404, 610, 489, 488, 609, 621, 500, 499, 620 405, 611, 490, 489, 610, 622, 501, 500, 621 406, 612, 491, 490, 611, 623, 502, 501, 622 407, 613, 492, 491, 612, 624, 503, 502, 623 408, 614, 493, 492, 613, 625, 504, 503, 624 409, 615, 494, 493, 614, 626, 505, 504, 625 410, 616, 495, 494, 615, 627, 506, 505, 626 411, 618, 497, 496, 617, 629, 508, 507, 628 412, 619, 498, 497, 618, 630, 509, 508, 629 413, 620, 499, 498, 619, 631, 510, 509, 630 414, 621, 500, 499, 620, 632, 511, 510, 631 415, 622, 501, 500, 621, 633, 512, 511, 632 416, 623, 502, 501, 622, 634, 513, 512, 633 417, 624, 503, 502, 623, 635, 514, 513, 634 418, 625, 504, 503, 624, 636, 515, 514, 635 419, 626, 505, 504, 625, 637, 516, 515, 636 420, 627, 506, 505, 626, 638, 517, 516, 637 421, 629, 508, 507, 628, 640, 519, 518, 639 422, 630, 509, 508, 629, 641, 520, 519, 640 423, 631, 510, 509, 630, 642, 521, 520, 641 424, 632, 511, 510, 631, 643, 522, 521, 642 425, 633, 512, 511, 632, 644, 523, 522, 643 426, 634, 513, 512, 633, 645, 524, 523, 644 427, 635, 514, 513, 634, 646, 525, 524, 645 428, 636, 515, 514, 635, 647, 526, 525, 646 429, 637, 516, 515, 636, 648, 527, 526, 647 430, 638, 517, 516, 637, 649, 528, 527, 648 431, 640, 519, 518, 639, 651, 530, 529, 650 432, 641, 520, 519, 640, 652, 531, 530, 651 433, 642, 521, 520, 641, 653, 532, 531, 652 434, 643, 522, 521, 642, 654, 533, 532, 653 435, 644, 523, 522, 643, 655, 534, 533, 654 436, 645, 524, 523, 644, 656, 535, 534, 655 437, 646, 525, 524, 645, 657, 536, 535, 656 438, 647, 526, 525, 646, 658, 537, 536, 657 439, 648, 527, 526, 647, 659, 538, 537, 658 440, 649, 528, 527, 648, 660, 539, 538, 659 441, 651, 530, 529, 650, 662, 541, 540, 661 442, 652, 531, 530, 651, 663, 542, 541, 662 443, 653, 532, 531, 652, 664, 543, 542, 663 444, 654, 533, 532, 653, 665, 544, 543, 664 445, 655, 534, 533, 654, 666, 545, 544, 665 446, 656, 535, 534, 655, 667, 546, 545, 666 447, 657, 536, 535, 656, 668, 547, 546, 667 448, 658, 537, 536, 657, 669, 548, 547, 668 449, 659, 538, 537, 658, 670, 549, 548, 669 450, 660, 539, 538, 659, 671, 550, 549, 670 451, 662, 541, 540, 661, 673, 552, 551, 672 452, 663, 542, 541, 662, 674, 553, 552, 673 453, 664, 543, 542, 663, 675, 554, 553, 674 454, 665, 544, 543, 664, 676, 555, 554, 675 455, 666, 545, 544, 665, 677, 556, 555, 676 456, 667, 546, 545, 666, 678, 557, 556, 677 457, 668, 547, 546, 667, 679, 558, 557, 678 458, 669, 548, 547, 668, 680, 559, 558, 679 459, 670, 549, 548, 669, 681, 560, 559, 680 460, 671, 550, 549, 670, 682, 561, 560, 681 461, 673, 552, 551, 672, 684, 563, 562, 683 462, 674, 553, 552, 673, 685, 564, 563, 684 463, 675, 554, 553, 674, 686, 565, 564, 685 464, 676, 555, 554, 675, 687, 566, 565, 686 465, 677, 556, 555, 676, 688, 567, 566, 687 466, 678, 557, 556, 677, 689, 568, 567, 688 467, 679, 558, 557, 678, 690, 569, 568, 689 468, 680, 559, 558, 679, 691, 570, 569, 690 469, 681, 560, 559, 680, 692, 571, 570, 691 470, 682, 561, 560, 681, 693, 572, 571, 692 471, 684, 563, 562, 683, 695, 574, 573, 694 472, 685, 564, 563, 684, 696, 575, 574, 695 473, 686, 565, 564, 685, 697, 576, 575, 696 474, 687, 566, 565, 686, 698, 577, 576, 697 475, 688, 567, 566, 687, 699, 578, 577, 698 476, 689, 568, 567, 688, 700, 579, 578, 699 477, 690, 569, 568, 689, 701, 580, 579, 700 478, 691, 570, 569, 690, 702, 581, 580, 701 479, 692, 571, 570, 691, 703, 582, 581, 702 480, 693, 572, 571, 692, 704, 583, 582, 703 481, 695, 574, 573, 694, 706, 585, 584, 705 482, 696, 575, 574, 695, 707, 586, 585, 706 483, 697, 576, 575, 696, 708, 587, 586, 707 484, 698, 577, 576, 697, 709, 588, 587, 708 485, 699, 578, 577, 698, 710, 589, 588, 709 486, 700, 579, 578, 699, 711, 590, 589, 710 487, 701, 580, 579, 700, 712, 591, 590, 711 488, 702, 581, 580, 701, 713, 592, 591, 712 489, 703, 582, 581, 702, 714, 593, 592, 713 490, 704, 583, 582, 703, 715, 594, 593, 714 491, 706, 585, 584, 705, 717, 596, 595, 716 492, 707, 586, 585, 706, 718, 597, 596, 717 493, 708, 587, 586, 707, 719, 598, 597, 718 494, 709, 588, 587, 708, 720, 599, 598, 719 495, 710, 589, 588, 709, 721, 600, 599, 720 496, 711, 590, 589, 710, 722, 601, 600, 721 497, 712, 591, 590, 711, 723, 602, 601, 722 498, 713, 592, 591, 712, 724, 603, 602, 723 499, 714, 593, 592, 713, 725, 604, 603, 724 500, 715, 594, 593, 714, 726, 605, 604, 725 501, 728, 607, 606, 727, 739, 618, 617, 738 502, 729, 608, 607, 728, 740, 619, 618, 739 503, 730, 609, 608, 729, 741, 620, 619, 740 504, 731, 610, 609, 730, 742, 621, 620, 741 505, 732, 611, 610, 731, 743, 622, 621, 742 506, 733, 612, 611, 732, 744, 623, 622, 743 507, 734, 613, 612, 733, 745, 624, 623, 744 508, 735, 614, 613, 734, 746, 625, 624, 745 509, 736, 615, 614, 735, 747, 626, 625, 746 510, 737, 616, 615, 736, 748, 627, 626, 747 511, 739, 618, 617, 738, 750, 629, 628, 749 512, 740, 619, 618, 739, 751, 630, 629, 750 513, 741, 620, 619, 740, 752, 631, 630, 751 514, 742, 621, 620, 741, 753, 632, 631, 752 515, 743, 622, 621, 742, 754, 633, 632, 753 516, 744, 623, 622, 743, 755, 634, 633, 754 517, 745, 624, 623, 744, 756, 635, 634, 755 518, 746, 625, 624, 745, 757, 636, 635, 756 519, 747, 626, 625, 746, 758, 637, 636, 757 520, 748, 627, 626, 747, 759, 638, 637, 758 521, 750, 629, 628, 749, 761, 640, 639, 760 522, 751, 630, 629, 750, 762, 641, 640, 761 523, 752, 631, 630, 751, 763, 642, 641, 762 524, 753, 632, 631, 752, 764, 643, 642, 763 525, 754, 633, 632, 753, 765, 644, 643, 764 526, 755, 634, 633, 754, 766, 645, 644, 765 527, 756, 635, 634, 755, 767, 646, 645, 766 528, 757, 636, 635, 756, 768, 647, 646, 767 529, 758, 637, 636, 757, 769, 648, 647, 768 530, 759, 638, 637, 758, 770, 649, 648, 769 531, 761, 640, 639, 760, 772, 651, 650, 771 532, 762, 641, 640, 761, 773, 652, 651, 772 533, 763, 642, 641, 762, 774, 653, 652, 773 534, 764, 643, 642, 763, 775, 654, 653, 774 535, 765, 644, 643, 764, 776, 655, 654, 775 536, 766, 645, 644, 765, 777, 656, 655, 776 537, 767, 646, 645, 766, 778, 657, 656, 777 538, 768, 647, 646, 767, 779, 658, 657, 778 539, 769, 648, 647, 768, 780, 659, 658, 779 540, 770, 649, 648, 769, 781, 660, 659, 780 541, 772, 651, 650, 771, 783, 662, 661, 782 542, 773, 652, 651, 772, 784, 663, 662, 783 543, 774, 653, 652, 773, 785, 664, 663, 784 544, 775, 654, 653, 774, 786, 665, 664, 785 545, 776, 655, 654, 775, 787, 666, 665, 786 546, 777, 656, 655, 776, 788, 667, 666, 787 547, 778, 657, 656, 777, 789, 668, 667, 788 548, 779, 658, 657, 778, 790, 669, 668, 789 549, 780, 659, 658, 779, 791, 670, 669, 790 550, 781, 660, 659, 780, 792, 671, 670, 791 551, 783, 662, 661, 782, 794, 673, 672, 793 552, 784, 663, 662, 783, 795, 674, 673, 794 553, 785, 664, 663, 784, 796, 675, 674, 795 554, 786, 665, 664, 785, 797, 676, 675, 796 555, 787, 666, 665, 786, 798, 677, 676, 797 556, 788, 667, 666, 787, 799, 678, 677, 798 557, 789, 668, 667, 788, 800, 679, 678, 799 558, 790, 669, 668, 789, 801, 680, 679, 800 559, 791, 670, 669, 790, 802, 681, 680, 801 560, 792, 671, 670, 791, 803, 682, 681, 802 561, 794, 673, 672, 793, 805, 684, 683, 804 562, 795, 674, 673, 794, 806, 685, 684, 805 563, 796, 675, 674, 795, 807, 686, 685, 806 564, 797, 676, 675, 796, 808, 687, 686, 807 565, 798, 677, 676, 797, 809, 688, 687, 808 566, 799, 678, 677, 798, 810, 689, 688, 809 567, 800, 679, 678, 799, 811, 690, 689, 810 568, 801, 680, 679, 800, 812, 691, 690, 811 569, 802, 681, 680, 801, 813, 692, 691, 812 570, 803, 682, 681, 802, 814, 693, 692, 813 571, 805, 684, 683, 804, 816, 695, 694, 815 572, 806, 685, 684, 805, 817, 696, 695, 816 573, 807, 686, 685, 806, 818, 697, 696, 817 574, 808, 687, 686, 807, 819, 698, 697, 818 575, 809, 688, 687, 808, 820, 699, 698, 819 576, 810, 689, 688, 809, 821, 700, 699, 820 577, 811, 690, 689, 810, 822, 701, 700, 821 578, 812, 691, 690, 811, 823, 702, 701, 822 579, 813, 692, 691, 812, 824, 703, 702, 823 580, 814, 693, 692, 813, 825, 704, 703, 824 581, 816, 695, 694, 815, 827, 706, 705, 826 582, 817, 696, 695, 816, 828, 707, 706, 827 583, 818, 697, 696, 817, 829, 708, 707, 828 584, 819, 698, 697, 818, 830, 709, 708, 829 585, 820, 699, 698, 819, 831, 710, 709, 830 586, 821, 700, 699, 820, 832, 711, 710, 831 587, 822, 701, 700, 821, 833, 712, 711, 832 588, 823, 702, 701, 822, 834, 713, 712, 833 589, 824, 703, 702, 823, 835, 714, 713, 834 590, 825, 704, 703, 824, 836, 715, 714, 835 591, 827, 706, 705, 826, 838, 717, 716, 837 592, 828, 707, 706, 827, 839, 718, 717, 838 593, 829, 708, 707, 828, 840, 719, 718, 839 594, 830, 709, 708, 829, 841, 720, 719, 840 595, 831, 710, 709, 830, 842, 721, 720, 841 596, 832, 711, 710, 831, 843, 722, 721, 842 597, 833, 712, 711, 832, 844, 723, 722, 843 598, 834, 713, 712, 833, 845, 724, 723, 844 599, 835, 714, 713, 834, 846, 725, 724, 845 600, 836, 715, 714, 835, 847, 726, 725, 846 601, 849, 728, 727, 848, 860, 739, 738, 859 602, 850, 729, 728, 849, 861, 740, 739, 860 603, 851, 730, 729, 850, 862, 741, 740, 861 604, 852, 731, 730, 851, 863, 742, 741, 862 605, 853, 732, 731, 852, 864, 743, 742, 863 606, 854, 733, 732, 853, 865, 744, 743, 864 607, 855, 734, 733, 854, 866, 745, 744, 865 608, 856, 735, 734, 855, 867, 746, 745, 866 609, 857, 736, 735, 856, 868, 747, 746, 867 610, 858, 737, 736, 857, 869, 748, 747, 868 611, 860, 739, 738, 859, 871, 750, 749, 870 612, 861, 740, 739, 860, 872, 751, 750, 871 613, 862, 741, 740, 861, 873, 752, 751, 872 614, 863, 742, 741, 862, 874, 753, 752, 873 615, 864, 743, 742, 863, 875, 754, 753, 874 616, 865, 744, 743, 864, 876, 755, 754, 875 617, 866, 745, 744, 865, 877, 756, 755, 876 618, 867, 746, 745, 866, 878, 757, 756, 877 619, 868, 747, 746, 867, 879, 758, 757, 878 620, 869, 748, 747, 868, 880, 759, 758, 879 621, 871, 750, 749, 870, 882, 761, 760, 881 622, 872, 751, 750, 871, 883, 762, 761, 882 623, 873, 752, 751, 872, 884, 763, 762, 883 624, 874, 753, 752, 873, 885, 764, 763, 884 625, 875, 754, 753, 874, 886, 765, 764, 885 626, 876, 755, 754, 875, 887, 766, 765, 886 627, 877, 756, 755, 876, 888, 767, 766, 887 628, 878, 757, 756, 877, 889, 768, 767, 888 629, 879, 758, 757, 878, 890, 769, 768, 889 630, 880, 759, 758, 879, 891, 770, 769, 890 631, 882, 761, 760, 881, 893, 772, 771, 892 632, 883, 762, 761, 882, 894, 773, 772, 893 633, 884, 763, 762, 883, 895, 774, 773, 894 634, 885, 764, 763, 884, 896, 775, 774, 895 635, 886, 765, 764, 885, 897, 776, 775, 896 636, 887, 766, 765, 886, 898, 777, 776, 897 637, 888, 767, 766, 887, 899, 778, 777, 898 638, 889, 768, 767, 888, 900, 779, 778, 899 639, 890, 769, 768, 889, 901, 780, 779, 900 640, 891, 770, 769, 890, 902, 781, 780, 901 641, 893, 772, 771, 892, 904, 783, 782, 903 642, 894, 773, 772, 893, 905, 784, 783, 904 643, 895, 774, 773, 894, 906, 785, 784, 905 644, 896, 775, 774, 895, 907, 786, 785, 906 645, 897, 776, 775, 896, 908, 787, 786, 907 646, 898, 777, 776, 897, 909, 788, 787, 908 647, 899, 778, 777, 898, 910, 789, 788, 909 648, 900, 779, 778, 899, 911, 790, 789, 910 649, 901, 780, 779, 900, 912, 791, 790, 911 650, 902, 781, 780, 901, 913, 792, 791, 912 651, 904, 783, 782, 903, 915, 794, 793, 914 652, 905, 784, 783, 904, 916, 795, 794, 915 653, 906, 785, 784, 905, 917, 796, 795, 916 654, 907, 786, 785, 906, 918, 797, 796, 917 655, 908, 787, 786, 907, 919, 798, 797, 918 656, 909, 788, 787, 908, 920, 799, 798, 919 657, 910, 789, 788, 909, 921, 800, 799, 920 658, 911, 790, 789, 910, 922, 801, 800, 921 659, 912, 791, 790, 911, 923, 802, 801, 922 660, 913, 792, 791, 912, 924, 803, 802, 923 661, 915, 794, 793, 914, 926, 805, 804, 925 662, 916, 795, 794, 915, 927, 806, 805, 926 663, 917, 796, 795, 916, 928, 807, 806, 927 664, 918, 797, 796, 917, 929, 808, 807, 928 665, 919, 798, 797, 918, 930, 809, 808, 929 666, 920, 799, 798, 919, 931, 810, 809, 930 667, 921, 800, 799, 920, 932, 811, 810, 931 668, 922, 801, 800, 921, 933, 812, 811, 932 669, 923, 802, 801, 922, 934, 813, 812, 933 670, 924, 803, 802, 923, 935, 814, 813, 934 671, 926, 805, 804, 925, 937, 816, 815, 936 672, 927, 806, 805, 926, 938, 817, 816, 937 673, 928, 807, 806, 927, 939, 818, 817, 938 674, 929, 808, 807, 928, 940, 819, 818, 939 675, 930, 809, 808, 929, 941, 820, 819, 940 676, 931, 810, 809, 930, 942, 821, 820, 941 677, 932, 811, 810, 931, 943, 822, 821, 942 678, 933, 812, 811, 932, 944, 823, 822, 943 679, 934, 813, 812, 933, 945, 824, 823, 944 680, 935, 814, 813, 934, 946, 825, 824, 945 681, 937, 816, 815, 936, 948, 827, 826, 947 682, 938, 817, 816, 937, 949, 828, 827, 948 683, 939, 818, 817, 938, 950, 829, 828, 949 684, 940, 819, 818, 939, 951, 830, 829, 950 685, 941, 820, 819, 940, 952, 831, 830, 951 686, 942, 821, 820, 941, 953, 832, 831, 952 687, 943, 822, 821, 942, 954, 833, 832, 953 688, 944, 823, 822, 943, 955, 834, 833, 954 689, 945, 824, 823, 944, 956, 835, 834, 955 690, 946, 825, 824, 945, 957, 836, 835, 956 691, 948, 827, 826, 947, 959, 838, 837, 958 692, 949, 828, 827, 948, 960, 839, 838, 959 693, 950, 829, 828, 949, 961, 840, 839, 960 694, 951, 830, 829, 950, 962, 841, 840, 961 695, 952, 831, 830, 951, 963, 842, 841, 962 696, 953, 832, 831, 952, 964, 843, 842, 963 697, 954, 833, 832, 953, 965, 844, 843, 964 698, 955, 834, 833, 954, 966, 845, 844, 965 699, 956, 835, 834, 955, 967, 846, 845, 966 700, 957, 836, 835, 956, 968, 847, 846, 967 701, 970, 849, 848, 969, 981, 860, 859, 980 702, 971, 850, 849, 970, 982, 861, 860, 981 703, 972, 851, 850, 971, 983, 862, 861, 982 704, 973, 852, 851, 972, 984, 863, 862, 983 705, 974, 853, 852, 973, 985, 864, 863, 984 706, 975, 854, 853, 974, 986, 865, 864, 985 707, 976, 855, 854, 975, 987, 866, 865, 986 708, 977, 856, 855, 976, 988, 867, 866, 987 709, 978, 857, 856, 977, 989, 868, 867, 988 710, 979, 858, 857, 978, 990, 869, 868, 989 711, 981, 860, 859, 980, 992, 871, 870, 991 712, 982, 861, 860, 981, 993, 872, 871, 992 713, 983, 862, 861, 982, 994, 873, 872, 993 714, 984, 863, 862, 983, 995, 874, 873, 994 715, 985, 864, 863, 984, 996, 875, 874, 995 716, 986, 865, 864, 985, 997, 876, 875, 996 717, 987, 866, 865, 986, 998, 877, 876, 997 718, 988, 867, 866, 987, 999, 878, 877, 998 719, 989, 868, 867, 988, 1000, 879, 878, 999 720, 990, 869, 868, 989, 1001, 880, 879, 1000 721, 992, 871, 870, 991, 1003, 882, 881, 1002 722, 993, 872, 871, 992, 1004, 883, 882, 1003 723, 994, 873, 872, 993, 1005, 884, 883, 1004 724, 995, 874, 873, 994, 1006, 885, 884, 1005 725, 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1130 829, 1121, 1000, 999, 1120, 1132, 1011, 1010, 1131 830, 1122, 1001, 1000, 1121, 1133, 1012, 1011, 1132 831, 1124, 1003, 1002, 1123, 1135, 1014, 1013, 1134 832, 1125, 1004, 1003, 1124, 1136, 1015, 1014, 1135 833, 1126, 1005, 1004, 1125, 1137, 1016, 1015, 1136 834, 1127, 1006, 1005, 1126, 1138, 1017, 1016, 1137 835, 1128, 1007, 1006, 1127, 1139, 1018, 1017, 1138 836, 1129, 1008, 1007, 1128, 1140, 1019, 1018, 1139 837, 1130, 1009, 1008, 1129, 1141, 1020, 1019, 1140 838, 1131, 1010, 1009, 1130, 1142, 1021, 1020, 1141 839, 1132, 1011, 1010, 1131, 1143, 1022, 1021, 1142 840, 1133, 1012, 1011, 1132, 1144, 1023, 1022, 1143 841, 1135, 1014, 1013, 1134, 1146, 1025, 1024, 1145 842, 1136, 1015, 1014, 1135, 1147, 1026, 1025, 1146 843, 1137, 1016, 1015, 1136, 1148, 1027, 1026, 1147 844, 1138, 1017, 1016, 1137, 1149, 1028, 1027, 1148 845, 1139, 1018, 1017, 1138, 1150, 1029, 1028, 1149 846, 1140, 1019, 1018, 1139, 1151, 1030, 1029, 1150 847, 1141, 1020, 1019, 1140, 1152, 1031, 1030, 1151 848, 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1195, 1074, 1073, 1194 887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195 888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196 889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197 890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198 891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200 892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201 893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202 894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203 895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204 896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205 897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206 898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207 899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208 900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209 901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222 902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223 903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224 904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225 905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226 906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227 907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228 908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229 909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230 910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231 911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233 912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234 913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235 914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236 915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237 916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238 917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239 918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240 919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241 920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242 921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244 922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245 923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246 924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247 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---------------------------------------------------------------- ** ================================================ FILE: Dream3D2Abaqus/Step-2a Matlab/testcase_elset.inp ================================================ ** Generated by : ImportExport Version 6.5.160.2320e899c ** ---------------------------------------------------------------- ** ** The element sets *Elset, elset=cube, generate 1, 1000, 1 ** ** Each Grain is made up of multiple elements ** *Elset, elset=Grain1_set 505, 506, 515, 516, 604, 605, 606, 607, 608, 609, 613, 614, 615, 616, 617, 618, 624, 625, 626, 627, 635, 636, 702, 703, 704, 705, 706, 707, 708, 709, 710, 712, 713, 714, 715, 716, 717, 718, 719, 720, 722, 723, 724, 725, 726, 727, 728, 729, 730, 734, 735, 736, 737, 738, 739, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 833, 834, 835, 836, 837, 838, 839, 840, 845, 846, 847, 848, 849, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 944, 945, 946, 947, 948, 949, 950 *Elset, elset=Grain2_set 35, 36, 37, 44, 45, 46, 47, 48, 54, 55, 56, 57, 58, 59, 60, 64, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85, 86, 87, 88, 89, 90, 93, 94, 95, 96, 97, 98, 99, 100, 135, 144, 145, 146, 147, 148, 154, 155, 156, 157, 158, 159, 160, 164, 165, 166, 167, 168, 169, 170, 174, 175, 176, 177, 178, 179, 180, 184, 185, 186, 187, 188, 189, 190, 194, 195, 196, 197, 198, 199, 200, 244, 245, 246, 247, 254, 255, 256, 257, 258, 259, 264, 265, 266, 267, 268, 269, 270, 274, 275, 276, 277, 278, 279, 280, 284, 285, 286, 287, 288, 289, 290, 295, 296, 297, 298, 299, 344, 345, 346, 354, 355, 356, 357, 358, 359, 364, 365, 366, 367, 368, 369, 375, 376, 377, 378, 379, 385, 386, 387, 388, 397, 446, 456, 457, 458, 459, 466, 467, 468, 476, 477 *Elset, elset=Grain3_set 193, 293, 294, 374, 383, 384, 391, 392, 393, 394, 395, 396, 443, 444, 445, 453, 454, 455, 463, 464, 465, 473, 474, 475, 481, 482, 483, 484, 485, 486, 491, 492, 493, 494, 495, 496, 534, 535, 541, 542, 543, 544, 545, 546, 551, 552, 553, 554, 555, 556, 557, 561, 562, 563, 564, 565, 566, 567, 571, 572, 573, 574, 575, 576, 577, 581, 582, 583, 584, 585, 586, 587, 591, 592, 593, 594, 595, 596, 631, 632, 633, 634, 641, 642, 643, 644, 645, 646, 647, 651, 652, 653, 654, 655, 656, 657, 661, 662, 663, 664, 665, 666, 667, 671, 672, 673, 674, 675, 676, 677, 681, 682, 683, 684, 685, 686, 687, 691, 692, 693, 694, 695, 696, 697, 731, 732, 733, 741, 742, 743, 744, 745, 746, 747, 751, 752, 753, 754, 755, 756, 757, 761, 762, 763, 764, 765, 766, 767, 771, 772, 773, 774, 775, 776, 777, 781, 782, 783, 784, 785, 786, 787, 791, 792, 793, 794, 795, 796, 797, 831, 832, 841, 842, 843, 844, 851, 852, 853, 854, 855, 856, 857, 861, 862, 863, 864, 865, 866, 867, 871, 872, 873, 874, 875, 876, 877, 881, 882, 883, 884, 885, 886, 887, 891, 892, 893, 894, 895, 896, 897, 941, 942, 943, 951, 952, 953, 954, 955, 956, 957, 961, 962, 963, 964, 965, 966, 967, 971, 972, 973, 974, 975, 976, 977, 981, 982, 983, 984, 985, 986, 987, 991, 992, 993, 994, 995, 996, 997 *Elset, elset=Grain4_set 1, 2, 3, 4, 5, 11, 12, 13, 14, 15, 21, 22, 23, 24, 25, 31, 32, 33, 34, 42, 43, 101, 102, 103, 104, 105, 111, 112, 113, 114, 115, 121, 122, 123, 124, 125, 131, 132, 133, 134, 142, 143, 201, 202, 203, 204, 205, 211, 212, 213, 214, 215, 221, 222, 223, 224, 225, 231, 232, 233, 234, 301, 302, 303, 304, 305, 311, 312, 313, 314, 315, 321, 322, 323, 324, 331, 332, 333, 334, 401, 402, 403, 404, 405, 411, 412, 413, 414, 415, 421, 422, 423, 424, 431, 432, 433, 434, 501, 502, 503, 504, 511, 512, 513, 514, 521, 522, 523, 524, 531, 532, 533, 601, 602, 603, 611, 612, 621, 622, 623, 701, 711, 721 *Elset, elset=Grain5_set 6, 7, 8, 9, 10, 16, 17, 18, 19, 20, 26, 27, 28, 29, 30, 38, 39, 40, 49, 50, 106, 107, 108, 109, 110, 116, 117, 118, 119, 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790, 798, 799, 800, 850, 858, 859, 860, 868, 869, 870, 878, 879, 880, 888, 889, 890, 898, 899, 900, 958, 959, 960, 968, 969, 970, 978, 979, 980, 988, 989, 990, 998, 999, 1000 *Elset, elset=Grain7_set 41, 51, 52, 53, 61, 62, 63, 71, 72, 73, 81, 82, 91, 92, 141, 151, 152, 153, 161, 162, 163, 171, 172, 173, 181, 182, 183, 191, 192, 241, 242, 243, 251, 252, 253, 261, 262, 263, 271, 272, 273, 281, 282, 283, 291, 292, 341, 342, 343, 351, 352, 353, 361, 362, 363, 371, 372, 373, 381, 382, 441, 442, 451, 452, 461, 462, 471, 472 ** ** ---------------------------------------------------------------- ** ================================================ FILE: Dream3D2Abaqus/Step-2a Matlab/testcase_nodes.inp ================================================ ** Generated by : ImportExport Version 6.5.160.2320e899c ** ---------------------------------------------------------------- ** *Node 1, 0.000000, 0.000000, 0.000000 2, 1.000000, 0.000000, 0.000000 3, 2.000000, 0.000000, 0.000000 4, 3.000000, 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================================================ FILE: Dream3D2Abaqus/Step-2a Matlab/testcase_sects.inp ================================================ ** Generated by : ImportExport Version 6.5.160.2320e899c ** ---------------------------------------------------------------- ** ** Each section is a separate grain ** Section: Grain1 *Solid Section, elset=Grain1_set, material=Grain_Mat1 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain2 *Solid Section, elset=Grain2_set, material=Grain_Mat2 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain3 *Solid Section, elset=Grain3_set, material=Grain_Mat3 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain4 *Solid Section, elset=Grain4_set, material=Grain_Mat4 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain5 *Solid Section, elset=Grain5_set, material=Grain_Mat5 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain6 *Solid Section, elset=Grain6_set, material=Grain_Mat6 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain7 *Solid Section, elset=Grain7_set, material=Grain_Mat7 *Hourglass Stiffness 250 ** -------------------------------------- ** ** ---------------------------------------------------------------- ** ================================================ FILE: Dream3D2Abaqus/Step-2b Python/Dream3D2Abaqus.py ================================================ ###################### # VERSION 3 OF DREAM 3D TO ABAQUS #MADE BY ALVARO MARTINEZ # DPhil student of the Oxford Engineering Department #Any questions email to alvaro.martinezpechero@eng.ox.ac.uk ##################### import numpy as np import pandas as pd def Dream3D2Abaqus(filename,matID,noDepvar): with open(filename + '.vox', 'r') as f: raw_data = np.genfromtxt(f, delimiter=' ') euler = raw_data[:, :3] xyz = raw_data[:, 3:6] grains = raw_data[:, 6].astype(int) phases = raw_data[:, 7].astype(int) total_els=len(euler[:,1]) #print(total_els) materials = np.ones(total_els, dtype=int)*matID grain_order, grain_record = np.unique(grains, return_index=True) phase_order = phases[grain_record] material_order = materials[grain_record] euler_angle1 = euler[grain_record, 0] euler_angle2 = euler[grain_record, 1] euler_angle3 = euler[grain_record, 2] with open(f"{filename}_nodes.inp", "r+") as fid: indata = fid.readlines()[4:-4] indata = [line.strip().split(",") for line in indata] indata = [[float(x[0]), float(x[1]), float(x[2]), float(x[3])] for x in indata] nodes = np.array(indata) nodes = nodes[:] with open(filename + '_elems.inp', 'r') as f: elem = np.genfromtxt(f, delimiter=',', skip_header=4, skip_footer=3) #print(elem.shape) #return euler, xyz, grain_order, phase_order, euler_angle1, euler_angle2, euler_angle3, nodes, elem ## Write the overall element and node sets to input file # open inp file and write keywords with open(f"{filename}.inp", 'wt') as inp_file: inp_file.write("** Generated by: Dream3DtoAbaqus.m\n") inp_file.write("**PARTS\n**\n") inp_file.write("*Part, name=DREAM3D\n") # write nodes inp_file.write("*NODE\n") for node in nodes: inp_file.write(f"{int(node[0])},\t{'{:.6e}'.format(node[1])},\t{'{:.6e}'.format(node[2])},\t{'{:.6e}'.format(node[3])}\n") #inp_file.write(f"{int(node[0])},\t{node[1]},\t{node[2]},\t{node[3]}\n") # write elements inp_file.write("*Element, type=C3D8\n") for elementj in elem: inp_file.write(f" {int(elementj[0])}, {int(elementj[1])}, {int(elementj[2])} ,{int(elementj[3])} ,{int(elementj[4])}, {int(elementj[5])} ,{int(elementj[6])} ,{int(elementj[7])} ,{int(elementj[8])}\n") unique_grains = np.unique(grains) numels_total=[] inp_file.write("\n") for ii in range(len(unique_grains)): inp_file.write(f"*Elset, elset=GRAIN-{grain_order[ii]}\n") grain_elements = elem[grain_order[ii]] for ee in range(0,len(elem[grains == grain_order[ii]][:,0]),9): inp_file.write(", ".join(str(int(e)) for e in elem[grains == grain_order[ii]][ee:ee+9,0]) + "\n") numels = 0 for tt in range(len(grain_elements)): numels += 1 uniPhases = np.unique(phases) for ii in range(len(np.unique(phases))): inp_file.write(f"\n*Elset, elset=Phase-{ii + 1}\n") elem_for_ii = elem[phases == uniPhases[ii]] for ee in range(0,len(elem_for_ii[:,0]),9): inp_file.write(", ".join(str(int(e)) for e in elem_for_ii[ee:ee+9,0]) + "\n") #for tt in range(elem_for_ii.shape[0]): #inp_file.write(f"{elem_for_ii[tt, 0]}, {elem_for_ii[tt, 1]}, {elem_for_ii[tt, 2]}, {elem_for_ii[tt, 3]}, {elem_for_ii[tt, 4]}, {elem_for_ii[tt, 5]}, {elem_for_ii[tt, 6]}, {elem_for_ii[tt, 7]}, {elem_for_ii[tt, 8]}\n") for ii in range(len(grain_order)): inp_file.write("\n**Section: Section_Grain-%d\n" % grain_order[ii]) inp_file.write("*Solid Section, elset=GRAIN-%d, material=MATERIAL-GRAIN%d\n" % (grain_order[ii], grain_order[ii])) inp_file.write(",\n") # Write the closing keyword inp_file.write("*End Part\n") # Write the assembly information inp_file.write("**\n**ASSEMBLY\n**\n") inp_file.write("*Assembly, name=Assembly\n**\n") inp_file.write("*Instance, name=DREAM3D-1, part=DREAM3D\n") # Write the nodes inp_file.write("*NODE\n") for i in range(nodes.shape[0]): inp_file.write(f"{int(nodes[i, 0])},\t{'{:.6e}'.format(nodes[i, 1])},\t{'{:.6e}'.format(nodes[i, 2])},\t{'{:.6e}'.format(nodes[i, 3])}\n") #inp_file.write("%d, %.2f, %.2f, %.2f\n" % (i+1, nodes[i, 1], nodes[i, 2], nodes[i, 3])) # Write the elements inp_file.write("*Element, type=C3D8\n") for i in range(elem.shape[0]): inp_file.write("%d, %d, %d, %d, %d, %d, %d, %d, %d\n" % (i+1, elem[i, 1], elem[i, 2], elem[i, 3], elem[i, 4], elem[i, 5], elem[i, 6], elem[i, 7], elem[i, 8])) inp_file.write('\n*End Instance\n') inp_file.write('**\n') inp_file.write('*End Assembly\n**MATERIALS\n**\n') #import material parameters to be used in the development of materials #for each grain. df = pd.read_excel('PROPS.xlsx', sheet_name='Material_parameters', usecols="A", header=None) A16 = np.array(df.iloc[0:6, :]) #print(A19) # Flag for reading the inputs from the file or material library # "0": material library in usermaterial.f will be used # "1": use the material parameters in excel file if A16[5] == 0: A = [""] * 6 A[5] = 0 #CHANGE HERE noPROPS = 6 # Flag for reading the inputs from the file or material library # "0": material library in usermaterial.f will be used # "1": use the material parameters in excel file else: A = [""] * 300 A[5] = 1 noPROPS = 300 for ii in range(len(grain_order)): inp_file.write("\n*Material, name=MATERIAL-GRAIN%d" % grain_order[ii]) inp_file.write(f"\n*Depvar\n{noDepvar},") inp_file.write(f"\n*User Material, constants={noPROPS}\n") A[0:3] = [euler_angle1[ii], euler_angle2[ii], euler_angle3[ii]] A[3] = grain_order[ii] # If a non-zero material-ID defined by user if matID>0: A[4] = material_order[ii] else: A[4] = phase_order[ii] if A16[5] ==1: for iph in uniPhases: letter = chr(iph + 64) xlRange = f"{letter}1:{letter}300"#CHANGE df = pd.read_excel("PROPS.xlsx", sheet_name='Material_parameters', usecols="A", header=None) B = np.array(df.iloc[0:301, :]).flatten() #print(B) #B=tolist(B) nslip = B[6] # All parameters A[6:301] = B[6:301] #print(A) for i in range(0, len(A), 8): inp_file.write(",".join(str(x) for x in A[i:i+8]) + "\n") #inp_file.write("{}, {}, {}, {}, {}, {}, {}, {}, {},".format(*A)) inp_file.write("\n**") inp_file.write("\n**\n** STEP: Loading\n**\n*Step, name=Loading, nlgeom=YES, inc=10000\n*Static\n0.01, 10., 1e-05, 1.") inp_file.write("\n**\n** OUTPUT REQUESTS\n**") inp_file.write("\n*Restart, write, frequency=0\n**") inp_file.write("\n** FIELD OUTPUT: F-Output-1\n**\n*Output, field, variable=PRESELECT\n**") if noDepvar>0: inp_file.write("\n** FIELD OUTPUT: F-Output-2\n**\n*Element Output, directions=YES\nSDV,\n**") inp_file.write("\n** HISTORY OUTPUT: H-Output-1\n**\n*Output, history, variable=PRESELECT\n**") inp_file.write("\n*End Step") inp_file.close() return 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1.000000e+01, 9.000000e+00 1208, 8.000000e+00, 1.000000e+01, 9.000000e+00 1209, 9.000000e+00, 1.000000e+01, 9.000000e+00 1210, 1.000000e+01, 1.000000e+01, 9.000000e+00 1211, 0.000000e+00, 0.000000e+00, 1.000000e+01 1212, 1.000000e+00, 0.000000e+00, 1.000000e+01 1213, 2.000000e+00, 0.000000e+00, 1.000000e+01 1214, 3.000000e+00, 0.000000e+00, 1.000000e+01 1215, 4.000000e+00, 0.000000e+00, 1.000000e+01 1216, 5.000000e+00, 0.000000e+00, 1.000000e+01 1217, 6.000000e+00, 0.000000e+00, 1.000000e+01 1218, 7.000000e+00, 0.000000e+00, 1.000000e+01 1219, 8.000000e+00, 0.000000e+00, 1.000000e+01 1220, 9.000000e+00, 0.000000e+00, 1.000000e+01 1221, 1.000000e+01, 0.000000e+00, 1.000000e+01 1222, 0.000000e+00, 1.000000e+00, 1.000000e+01 1223, 1.000000e+00, 1.000000e+00, 1.000000e+01 1224, 2.000000e+00, 1.000000e+00, 1.000000e+01 1225, 3.000000e+00, 1.000000e+00, 1.000000e+01 1226, 4.000000e+00, 1.000000e+00, 1.000000e+01 1227, 5.000000e+00, 1.000000e+00, 1.000000e+01 1228, 6.000000e+00, 1.000000e+00, 1.000000e+01 1229, 7.000000e+00, 1.000000e+00, 1.000000e+01 1230, 8.000000e+00, 1.000000e+00, 1.000000e+01 1231, 9.000000e+00, 1.000000e+00, 1.000000e+01 1232, 1.000000e+01, 1.000000e+00, 1.000000e+01 1233, 0.000000e+00, 2.000000e+00, 1.000000e+01 1234, 1.000000e+00, 2.000000e+00, 1.000000e+01 1235, 2.000000e+00, 2.000000e+00, 1.000000e+01 1236, 3.000000e+00, 2.000000e+00, 1.000000e+01 1237, 4.000000e+00, 2.000000e+00, 1.000000e+01 1238, 5.000000e+00, 2.000000e+00, 1.000000e+01 1239, 6.000000e+00, 2.000000e+00, 1.000000e+01 1240, 7.000000e+00, 2.000000e+00, 1.000000e+01 1241, 8.000000e+00, 2.000000e+00, 1.000000e+01 1242, 9.000000e+00, 2.000000e+00, 1.000000e+01 1243, 1.000000e+01, 2.000000e+00, 1.000000e+01 1244, 0.000000e+00, 3.000000e+00, 1.000000e+01 1245, 1.000000e+00, 3.000000e+00, 1.000000e+01 1246, 2.000000e+00, 3.000000e+00, 1.000000e+01 1247, 3.000000e+00, 3.000000e+00, 1.000000e+01 1248, 4.000000e+00, 3.000000e+00, 1.000000e+01 1249, 5.000000e+00, 3.000000e+00, 1.000000e+01 1250, 6.000000e+00, 3.000000e+00, 1.000000e+01 1251, 7.000000e+00, 3.000000e+00, 1.000000e+01 1252, 8.000000e+00, 3.000000e+00, 1.000000e+01 1253, 9.000000e+00, 3.000000e+00, 1.000000e+01 1254, 1.000000e+01, 3.000000e+00, 1.000000e+01 1255, 0.000000e+00, 4.000000e+00, 1.000000e+01 1256, 1.000000e+00, 4.000000e+00, 1.000000e+01 1257, 2.000000e+00, 4.000000e+00, 1.000000e+01 1258, 3.000000e+00, 4.000000e+00, 1.000000e+01 1259, 4.000000e+00, 4.000000e+00, 1.000000e+01 1260, 5.000000e+00, 4.000000e+00, 1.000000e+01 1261, 6.000000e+00, 4.000000e+00, 1.000000e+01 1262, 7.000000e+00, 4.000000e+00, 1.000000e+01 1263, 8.000000e+00, 4.000000e+00, 1.000000e+01 1264, 9.000000e+00, 4.000000e+00, 1.000000e+01 1265, 1.000000e+01, 4.000000e+00, 1.000000e+01 1266, 0.000000e+00, 5.000000e+00, 1.000000e+01 1267, 1.000000e+00, 5.000000e+00, 1.000000e+01 1268, 2.000000e+00, 5.000000e+00, 1.000000e+01 1269, 3.000000e+00, 5.000000e+00, 1.000000e+01 1270, 4.000000e+00, 5.000000e+00, 1.000000e+01 1271, 5.000000e+00, 5.000000e+00, 1.000000e+01 1272, 6.000000e+00, 5.000000e+00, 1.000000e+01 1273, 7.000000e+00, 5.000000e+00, 1.000000e+01 1274, 8.000000e+00, 5.000000e+00, 1.000000e+01 1275, 9.000000e+00, 5.000000e+00, 1.000000e+01 1276, 1.000000e+01, 5.000000e+00, 1.000000e+01 1277, 0.000000e+00, 6.000000e+00, 1.000000e+01 1278, 1.000000e+00, 6.000000e+00, 1.000000e+01 1279, 2.000000e+00, 6.000000e+00, 1.000000e+01 1280, 3.000000e+00, 6.000000e+00, 1.000000e+01 1281, 4.000000e+00, 6.000000e+00, 1.000000e+01 1282, 5.000000e+00, 6.000000e+00, 1.000000e+01 1283, 6.000000e+00, 6.000000e+00, 1.000000e+01 1284, 7.000000e+00, 6.000000e+00, 1.000000e+01 1285, 8.000000e+00, 6.000000e+00, 1.000000e+01 1286, 9.000000e+00, 6.000000e+00, 1.000000e+01 1287, 1.000000e+01, 6.000000e+00, 1.000000e+01 1288, 0.000000e+00, 7.000000e+00, 1.000000e+01 1289, 1.000000e+00, 7.000000e+00, 1.000000e+01 1290, 2.000000e+00, 7.000000e+00, 1.000000e+01 1291, 3.000000e+00, 7.000000e+00, 1.000000e+01 1292, 4.000000e+00, 7.000000e+00, 1.000000e+01 1293, 5.000000e+00, 7.000000e+00, 1.000000e+01 1294, 6.000000e+00, 7.000000e+00, 1.000000e+01 1295, 7.000000e+00, 7.000000e+00, 1.000000e+01 1296, 8.000000e+00, 7.000000e+00, 1.000000e+01 1297, 9.000000e+00, 7.000000e+00, 1.000000e+01 1298, 1.000000e+01, 7.000000e+00, 1.000000e+01 1299, 0.000000e+00, 8.000000e+00, 1.000000e+01 1300, 1.000000e+00, 8.000000e+00, 1.000000e+01 1301, 2.000000e+00, 8.000000e+00, 1.000000e+01 1302, 3.000000e+00, 8.000000e+00, 1.000000e+01 1303, 4.000000e+00, 8.000000e+00, 1.000000e+01 1304, 5.000000e+00, 8.000000e+00, 1.000000e+01 1305, 6.000000e+00, 8.000000e+00, 1.000000e+01 1306, 7.000000e+00, 8.000000e+00, 1.000000e+01 1307, 8.000000e+00, 8.000000e+00, 1.000000e+01 1308, 9.000000e+00, 8.000000e+00, 1.000000e+01 1309, 1.000000e+01, 8.000000e+00, 1.000000e+01 1310, 0.000000e+00, 9.000000e+00, 1.000000e+01 1311, 1.000000e+00, 9.000000e+00, 1.000000e+01 1312, 2.000000e+00, 9.000000e+00, 1.000000e+01 1313, 3.000000e+00, 9.000000e+00, 1.000000e+01 1314, 4.000000e+00, 9.000000e+00, 1.000000e+01 1315, 5.000000e+00, 9.000000e+00, 1.000000e+01 1316, 6.000000e+00, 9.000000e+00, 1.000000e+01 1317, 7.000000e+00, 9.000000e+00, 1.000000e+01 1318, 8.000000e+00, 9.000000e+00, 1.000000e+01 1319, 9.000000e+00, 9.000000e+00, 1.000000e+01 1320, 1.000000e+01, 9.000000e+00, 1.000000e+01 1321, 0.000000e+00, 1.000000e+01, 1.000000e+01 1322, 1.000000e+00, 1.000000e+01, 1.000000e+01 1323, 2.000000e+00, 1.000000e+01, 1.000000e+01 1324, 3.000000e+00, 1.000000e+01, 1.000000e+01 1325, 4.000000e+00, 1.000000e+01, 1.000000e+01 1326, 5.000000e+00, 1.000000e+01, 1.000000e+01 1327, 6.000000e+00, 1.000000e+01, 1.000000e+01 1328, 7.000000e+00, 1.000000e+01, 1.000000e+01 1329, 8.000000e+00, 1.000000e+01, 1.000000e+01 1330, 9.000000e+00, 1.000000e+01, 1.000000e+01 1331, 1.000000e+01, 1.000000e+01, 1.000000e+01 *Element, type=C3D8 1, 123, 2 ,1 ,122, 134 ,13 ,12 ,133 2, 124, 3 ,2 ,123, 135 ,14 ,13 ,134 3, 125, 4 ,3 ,124, 136 ,15 ,14 ,135 4, 126, 5 ,4 ,125, 137 ,16 ,15 ,136 5, 127, 6 ,5 ,126, 138 ,17 ,16 ,137 6, 128, 7 ,6 ,127, 139 ,18 ,17 ,138 7, 129, 8 ,7 ,128, 140 ,19 ,18 ,139 8, 130, 9 ,8 ,129, 141 ,20 ,19 ,140 9, 131, 10 ,9 ,130, 142 ,21 ,20 ,141 10, 132, 11 ,10 ,131, 143 ,22 ,21 ,142 11, 134, 13 ,12 ,133, 145 ,24 ,23 ,144 12, 135, 14 ,13 ,134, 146 ,25 ,24 ,145 13, 136, 15 ,14 ,135, 147 ,26 ,25 ,146 14, 137, 16 ,15 ,136, 148 ,27 ,26 ,147 15, 138, 17 ,16 ,137, 149 ,28 ,27 ,148 16, 139, 18 ,17 ,138, 150 ,29 ,28 ,149 17, 140, 19 ,18 ,139, 151 ,30 ,29 ,150 18, 141, 20 ,19 ,140, 152 ,31 ,30 ,151 19, 142, 21 ,20 ,141, 153 ,32 ,31 ,152 20, 143, 22 ,21 ,142, 154 ,33 ,32 ,153 21, 145, 24 ,23 ,144, 156 ,35 ,34 ,155 22, 146, 25 ,24 ,145, 157 ,36 ,35 ,156 23, 147, 26 ,25 ,146, 158 ,37 ,36 ,157 24, 148, 27 ,26 ,147, 159 ,38 ,37 ,158 25, 149, 28 ,27 ,148, 160 ,39 ,38 ,159 26, 150, 29 ,28 ,149, 161 ,40 ,39 ,160 27, 151, 30 ,29 ,150, 162 ,41 ,40 ,161 28, 152, 31 ,30 ,151, 163 ,42 ,41 ,162 29, 153, 32 ,31 ,152, 164 ,43 ,42 ,163 30, 154, 33 ,32 ,153, 165 ,44 ,43 ,164 31, 156, 35 ,34 ,155, 167 ,46 ,45 ,166 32, 157, 36 ,35 ,156, 168 ,47 ,46 ,167 33, 158, 37 ,36 ,157, 169 ,48 ,47 ,168 34, 159, 38 ,37 ,158, 170 ,49 ,48 ,169 35, 160, 39 ,38 ,159, 171 ,50 ,49 ,170 36, 161, 40 ,39 ,160, 172 ,51 ,50 ,171 37, 162, 41 ,40 ,161, 173 ,52 ,51 ,172 38, 163, 42 ,41 ,162, 174 ,53 ,52 ,173 39, 164, 43 ,42 ,163, 175 ,54 ,53 ,174 40, 165, 44 ,43 ,164, 176 ,55 ,54 ,175 41, 167, 46 ,45 ,166, 178 ,57 ,56 ,177 42, 168, 47 ,46 ,167, 179 ,58 ,57 ,178 43, 169, 48 ,47 ,168, 180 ,59 ,58 ,179 44, 170, 49 ,48 ,169, 181 ,60 ,59 ,180 45, 171, 50 ,49 ,170, 182 ,61 ,60 ,181 46, 172, 51 ,50 ,171, 183 ,62 ,61 ,182 47, 173, 52 ,51 ,172, 184 ,63 ,62 ,183 48, 174, 53 ,52 ,173, 185 ,64 ,63 ,184 49, 175, 54 ,53 ,174, 186 ,65 ,64 ,185 50, 176, 55 ,54 ,175, 187 ,66 ,65 ,186 51, 178, 57 ,56 ,177, 189 ,68 ,67 ,188 52, 179, 58 ,57 ,178, 190 ,69 ,68 ,189 53, 180, 59 ,58 ,179, 191 ,70 ,69 ,190 54, 181, 60 ,59 ,180, 192 ,71 ,70 ,191 55, 182, 61 ,60 ,181, 193 ,72 ,71 ,192 56, 183, 62 ,61 ,182, 194 ,73 ,72 ,193 57, 184, 63 ,62 ,183, 195 ,74 ,73 ,194 58, 185, 64 ,63 ,184, 196 ,75 ,74 ,195 59, 186, 65 ,64 ,185, 197 ,76 ,75 ,196 60, 187, 66 ,65 ,186, 198 ,77 ,76 ,197 61, 189, 68 ,67 ,188, 200 ,79 ,78 ,199 62, 190, 69 ,68 ,189, 201 ,80 ,79 ,200 63, 191, 70 ,69 ,190, 202 ,81 ,80 ,201 64, 192, 71 ,70 ,191, 203 ,82 ,81 ,202 65, 193, 72 ,71 ,192, 204 ,83 ,82 ,203 66, 194, 73 ,72 ,193, 205 ,84 ,83 ,204 67, 195, 74 ,73 ,194, 206 ,85 ,84 ,205 68, 196, 75 ,74 ,195, 207 ,86 ,85 ,206 69, 197, 76 ,75 ,196, 208 ,87 ,86 ,207 70, 198, 77 ,76 ,197, 209 ,88 ,87 ,208 71, 200, 79 ,78 ,199, 211 ,90 ,89 ,210 72, 201, 80 ,79 ,200, 212 ,91 ,90 ,211 73, 202, 81 ,80 ,201, 213 ,92 ,91 ,212 74, 203, 82 ,81 ,202, 214 ,93 ,92 ,213 75, 204, 83 ,82 ,203, 215 ,94 ,93 ,214 76, 205, 84 ,83 ,204, 216 ,95 ,94 ,215 77, 206, 85 ,84 ,205, 217 ,96 ,95 ,216 78, 207, 86 ,85 ,206, 218 ,97 ,96 ,217 79, 208, 87 ,86 ,207, 219 ,98 ,97 ,218 80, 209, 88 ,87 ,208, 220 ,99 ,98 ,219 81, 211, 90 ,89 ,210, 222 ,101 ,100 ,221 82, 212, 91 ,90 ,211, 223 ,102 ,101 ,222 83, 213, 92 ,91 ,212, 224 ,103 ,102 ,223 84, 214, 93 ,92 ,213, 225 ,104 ,103 ,224 85, 215, 94 ,93 ,214, 226 ,105 ,104 ,225 86, 216, 95 ,94 ,215, 227 ,106 ,105 ,226 87, 217, 96 ,95 ,216, 228 ,107 ,106 ,227 88, 218, 97 ,96 ,217, 229 ,108 ,107 ,228 89, 219, 98 ,97 ,218, 230 ,109 ,108 ,229 90, 220, 99 ,98 ,219, 231 ,110 ,109 ,230 91, 222, 101 ,100 ,221, 233 ,112 ,111 ,232 92, 223, 102 ,101 ,222, 234 ,113 ,112 ,233 93, 224, 103 ,102 ,223, 235 ,114 ,113 ,234 94, 225, 104 ,103 ,224, 236 ,115 ,114 ,235 95, 226, 105 ,104 ,225, 237 ,116 ,115 ,236 96, 227, 106 ,105 ,226, 238 ,117 ,116 ,237 97, 228, 107 ,106 ,227, 239 ,118 ,117 ,238 98, 229, 108 ,107 ,228, 240 ,119 ,118 ,239 99, 230, 109 ,108 ,229, 241 ,120 ,119 ,240 100, 231, 110 ,109 ,230, 242 ,121 ,120 ,241 101, 244, 123 ,122 ,243, 255 ,134 ,133 ,254 102, 245, 124 ,123 ,244, 256 ,135 ,134 ,255 103, 246, 125 ,124 ,245, 257 ,136 ,135 ,256 104, 247, 126 ,125 ,246, 258 ,137 ,136 ,257 105, 248, 127 ,126 ,247, 259 ,138 ,137 ,258 106, 249, 128 ,127 ,248, 260 ,139 ,138 ,259 107, 250, 129 ,128 ,249, 261 ,140 ,139 ,260 108, 251, 130 ,129 ,250, 262 ,141 ,140 ,261 109, 252, 131 ,130 ,251, 263 ,142 ,141 ,262 110, 253, 132 ,131 ,252, 264 ,143 ,142 ,263 111, 255, 134 ,133 ,254, 266 ,145 ,144 ,265 112, 256, 135 ,134 ,255, 267 ,146 ,145 ,266 113, 257, 136 ,135 ,256, 268 ,147 ,146 ,267 114, 258, 137 ,136 ,257, 269 ,148 ,147 ,268 115, 259, 138 ,137 ,258, 270 ,149 ,148 ,269 116, 260, 139 ,138 ,259, 271 ,150 ,149 ,270 117, 261, 140 ,139 ,260, 272 ,151 ,150 ,271 118, 262, 141 ,140 ,261, 273 ,152 ,151 ,272 119, 263, 142 ,141 ,262, 274 ,153 ,152 ,273 120, 264, 143 ,142 ,263, 275 ,154 ,153 ,274 121, 266, 145 ,144 ,265, 277 ,156 ,155 ,276 122, 267, 146 ,145 ,266, 278 ,157 ,156 ,277 123, 268, 147 ,146 ,267, 279 ,158 ,157 ,278 124, 269, 148 ,147 ,268, 280 ,159 ,158 ,279 125, 270, 149 ,148 ,269, 281 ,160 ,159 ,280 126, 271, 150 ,149 ,270, 282 ,161 ,160 ,281 127, 272, 151 ,150 ,271, 283 ,162 ,161 ,282 128, 273, 152 ,151 ,272, 284 ,163 ,162 ,283 129, 274, 153 ,152 ,273, 285 ,164 ,163 ,284 130, 275, 154 ,153 ,274, 286 ,165 ,164 ,285 131, 277, 156 ,155 ,276, 288 ,167 ,166 ,287 132, 278, 157 ,156 ,277, 289 ,168 ,167 ,288 133, 279, 158 ,157 ,278, 290 ,169 ,168 ,289 134, 280, 159 ,158 ,279, 291 ,170 ,169 ,290 135, 281, 160 ,159 ,280, 292 ,171 ,170 ,291 136, 282, 161 ,160 ,281, 293 ,172 ,171 ,292 137, 283, 162 ,161 ,282, 294 ,173 ,172 ,293 138, 284, 163 ,162 ,283, 295 ,174 ,173 ,294 139, 285, 164 ,163 ,284, 296 ,175 ,174 ,295 140, 286, 165 ,164 ,285, 297 ,176 ,175 ,296 141, 288, 167 ,166 ,287, 299 ,178 ,177 ,298 142, 289, 168 ,167 ,288, 300 ,179 ,178 ,299 143, 290, 169 ,168 ,289, 301 ,180 ,179 ,300 144, 291, 170 ,169 ,290, 302 ,181 ,180 ,301 145, 292, 171 ,170 ,291, 303 ,182 ,181 ,302 146, 293, 172 ,171 ,292, 304 ,183 ,182 ,303 147, 294, 173 ,172 ,293, 305 ,184 ,183 ,304 148, 295, 174 ,173 ,294, 306 ,185 ,184 ,305 149, 296, 175 ,174 ,295, 307 ,186 ,185 ,306 150, 297, 176 ,175 ,296, 308 ,187 ,186 ,307 151, 299, 178 ,177 ,298, 310 ,189 ,188 ,309 152, 300, 179 ,178 ,299, 311 ,190 ,189 ,310 153, 301, 180 ,179 ,300, 312 ,191 ,190 ,311 154, 302, 181 ,180 ,301, 313 ,192 ,191 ,312 155, 303, 182 ,181 ,302, 314 ,193 ,192 ,313 156, 304, 183 ,182 ,303, 315 ,194 ,193 ,314 157, 305, 184 ,183 ,304, 316 ,195 ,194 ,315 158, 306, 185 ,184 ,305, 317 ,196 ,195 ,316 159, 307, 186 ,185 ,306, 318 ,197 ,196 ,317 160, 308, 187 ,186 ,307, 319 ,198 ,197 ,318 161, 310, 189 ,188 ,309, 321 ,200 ,199 ,320 162, 311, 190 ,189 ,310, 322 ,201 ,200 ,321 163, 312, 191 ,190 ,311, 323 ,202 ,201 ,322 164, 313, 192 ,191 ,312, 324 ,203 ,202 ,323 165, 314, 193 ,192 ,313, 325 ,204 ,203 ,324 166, 315, 194 ,193 ,314, 326 ,205 ,204 ,325 167, 316, 195 ,194 ,315, 327 ,206 ,205 ,326 168, 317, 196 ,195 ,316, 328 ,207 ,206 ,327 169, 318, 197 ,196 ,317, 329 ,208 ,207 ,328 170, 319, 198 ,197 ,318, 330 ,209 ,208 ,329 171, 321, 200 ,199 ,320, 332 ,211 ,210 ,331 172, 322, 201 ,200 ,321, 333 ,212 ,211 ,332 173, 323, 202 ,201 ,322, 334 ,213 ,212 ,333 174, 324, 203 ,202 ,323, 335 ,214 ,213 ,334 175, 325, 204 ,203 ,324, 336 ,215 ,214 ,335 176, 326, 205 ,204 ,325, 337 ,216 ,215 ,336 177, 327, 206 ,205 ,326, 338 ,217 ,216 ,337 178, 328, 207 ,206 ,327, 339 ,218 ,217 ,338 179, 329, 208 ,207 ,328, 340 ,219 ,218 ,339 180, 330, 209 ,208 ,329, 341 ,220 ,219 ,340 181, 332, 211 ,210 ,331, 343 ,222 ,221 ,342 182, 333, 212 ,211 ,332, 344 ,223 ,222 ,343 183, 334, 213 ,212 ,333, 345 ,224 ,223 ,344 184, 335, 214 ,213 ,334, 346 ,225 ,224 ,345 185, 336, 215 ,214 ,335, 347 ,226 ,225 ,346 186, 337, 216 ,215 ,336, 348 ,227 ,226 ,347 187, 338, 217 ,216 ,337, 349 ,228 ,227 ,348 188, 339, 218 ,217 ,338, 350 ,229 ,228 ,349 189, 340, 219 ,218 ,339, 351 ,230 ,229 ,350 190, 341, 220 ,219 ,340, 352 ,231 ,230 ,351 191, 343, 222 ,221 ,342, 354 ,233 ,232 ,353 192, 344, 223 ,222 ,343, 355 ,234 ,233 ,354 193, 345, 224 ,223 ,344, 356 ,235 ,234 ,355 194, 346, 225 ,224 ,345, 357 ,236 ,235 ,356 195, 347, 226 ,225 ,346, 358 ,237 ,236 ,357 196, 348, 227 ,226 ,347, 359 ,238 ,237 ,358 197, 349, 228 ,227 ,348, 360 ,239 ,238 ,359 198, 350, 229 ,228 ,349, 361 ,240 ,239 ,360 199, 351, 230 ,229 ,350, 362 ,241 ,240 ,361 200, 352, 231 ,230 ,351, 363 ,242 ,241 ,362 201, 365, 244 ,243 ,364, 376 ,255 ,254 ,375 202, 366, 245 ,244 ,365, 377 ,256 ,255 ,376 203, 367, 246 ,245 ,366, 378 ,257 ,256 ,377 204, 368, 247 ,246 ,367, 379 ,258 ,257 ,378 205, 369, 248 ,247 ,368, 380 ,259 ,258 ,379 206, 370, 249 ,248 ,369, 381 ,260 ,259 ,380 207, 371, 250 ,249 ,370, 382 ,261 ,260 ,381 208, 372, 251 ,250 ,371, 383 ,262 ,261 ,382 209, 373, 252 ,251 ,372, 384 ,263 ,262 ,383 210, 374, 253 ,252 ,373, 385 ,264 ,263 ,384 211, 376, 255 ,254 ,375, 387 ,266 ,265 ,386 212, 377, 256 ,255 ,376, 388 ,267 ,266 ,387 213, 378, 257 ,256 ,377, 389 ,268 ,267 ,388 214, 379, 258 ,257 ,378, 390 ,269 ,268 ,389 215, 380, 259 ,258 ,379, 391 ,270 ,269 ,390 216, 381, 260 ,259 ,380, 392 ,271 ,270 ,391 217, 382, 261 ,260 ,381, 393 ,272 ,271 ,392 218, 383, 262 ,261 ,382, 394 ,273 ,272 ,393 219, 384, 263 ,262 ,383, 395 ,274 ,273 ,394 220, 385, 264 ,263 ,384, 396 ,275 ,274 ,395 221, 387, 266 ,265 ,386, 398 ,277 ,276 ,397 222, 388, 267 ,266 ,387, 399 ,278 ,277 ,398 223, 389, 268 ,267 ,388, 400 ,279 ,278 ,399 224, 390, 269 ,268 ,389, 401 ,280 ,279 ,400 225, 391, 270 ,269 ,390, 402 ,281 ,280 ,401 226, 392, 271 ,270 ,391, 403 ,282 ,281 ,402 227, 393, 272 ,271 ,392, 404 ,283 ,282 ,403 228, 394, 273 ,272 ,393, 405 ,284 ,283 ,404 229, 395, 274 ,273 ,394, 406 ,285 ,284 ,405 230, 396, 275 ,274 ,395, 407 ,286 ,285 ,406 231, 398, 277 ,276 ,397, 409 ,288 ,287 ,408 232, 399, 278 ,277 ,398, 410 ,289 ,288 ,409 233, 400, 279 ,278 ,399, 411 ,290 ,289 ,410 234, 401, 280 ,279 ,400, 412 ,291 ,290 ,411 235, 402, 281 ,280 ,401, 413 ,292 ,291 ,412 236, 403, 282 ,281 ,402, 414 ,293 ,292 ,413 237, 404, 283 ,282 ,403, 415 ,294 ,293 ,414 238, 405, 284 ,283 ,404, 416 ,295 ,294 ,415 239, 406, 285 ,284 ,405, 417 ,296 ,295 ,416 240, 407, 286 ,285 ,406, 418 ,297 ,296 ,417 241, 409, 288 ,287 ,408, 420 ,299 ,298 ,419 242, 410, 289 ,288 ,409, 421 ,300 ,299 ,420 243, 411, 290 ,289 ,410, 422 ,301 ,300 ,421 244, 412, 291 ,290 ,411, 423 ,302 ,301 ,422 245, 413, 292 ,291 ,412, 424 ,303 ,302 ,423 246, 414, 293 ,292 ,413, 425 ,304 ,303 ,424 247, 415, 294 ,293 ,414, 426 ,305 ,304 ,425 248, 416, 295 ,294 ,415, 427 ,306 ,305 ,426 249, 417, 296 ,295 ,416, 428 ,307 ,306 ,427 250, 418, 297 ,296 ,417, 429 ,308 ,307 ,428 251, 420, 299 ,298 ,419, 431 ,310 ,309 ,430 252, 421, 300 ,299 ,420, 432 ,311 ,310 ,431 253, 422, 301 ,300 ,421, 433 ,312 ,311 ,432 254, 423, 302 ,301 ,422, 434 ,313 ,312 ,433 255, 424, 303 ,302 ,423, 435 ,314 ,313 ,434 256, 425, 304 ,303 ,424, 436 ,315 ,314 ,435 257, 426, 305 ,304 ,425, 437 ,316 ,315 ,436 258, 427, 306 ,305 ,426, 438 ,317 ,316 ,437 259, 428, 307 ,306 ,427, 439 ,318 ,317 ,438 260, 429, 308 ,307 ,428, 440 ,319 ,318 ,439 261, 431, 310 ,309 ,430, 442 ,321 ,320 ,441 262, 432, 311 ,310 ,431, 443 ,322 ,321 ,442 263, 433, 312 ,311 ,432, 444 ,323 ,322 ,443 264, 434, 313 ,312 ,433, 445 ,324 ,323 ,444 265, 435, 314 ,313 ,434, 446 ,325 ,324 ,445 266, 436, 315 ,314 ,435, 447 ,326 ,325 ,446 267, 437, 316 ,315 ,436, 448 ,327 ,326 ,447 268, 438, 317 ,316 ,437, 449 ,328 ,327 ,448 269, 439, 318 ,317 ,438, 450 ,329 ,328 ,449 270, 440, 319 ,318 ,439, 451 ,330 ,329 ,450 271, 442, 321 ,320 ,441, 453 ,332 ,331 ,452 272, 443, 322 ,321 ,442, 454 ,333 ,332 ,453 273, 444, 323 ,322 ,443, 455 ,334 ,333 ,454 274, 445, 324 ,323 ,444, 456 ,335 ,334 ,455 275, 446, 325 ,324 ,445, 457 ,336 ,335 ,456 276, 447, 326 ,325 ,446, 458 ,337 ,336 ,457 277, 448, 327 ,326 ,447, 459 ,338 ,337 ,458 278, 449, 328 ,327 ,448, 460 ,339 ,338 ,459 279, 450, 329 ,328 ,449, 461 ,340 ,339 ,460 280, 451, 330 ,329 ,450, 462 ,341 ,340 ,461 281, 453, 332 ,331 ,452, 464 ,343 ,342 ,463 282, 454, 333 ,332 ,453, 465 ,344 ,343 ,464 283, 455, 334 ,333 ,454, 466 ,345 ,344 ,465 284, 456, 335 ,334 ,455, 467 ,346 ,345 ,466 285, 457, 336 ,335 ,456, 468 ,347 ,346 ,467 286, 458, 337 ,336 ,457, 469 ,348 ,347 ,468 287, 459, 338 ,337 ,458, 470 ,349 ,348 ,469 288, 460, 339 ,338 ,459, 471 ,350 ,349 ,470 289, 461, 340 ,339 ,460, 472 ,351 ,350 ,471 290, 462, 341 ,340 ,461, 473 ,352 ,351 ,472 291, 464, 343 ,342 ,463, 475 ,354 ,353 ,474 292, 465, 344 ,343 ,464, 476 ,355 ,354 ,475 293, 466, 345 ,344 ,465, 477 ,356 ,355 ,476 294, 467, 346 ,345 ,466, 478 ,357 ,356 ,477 295, 468, 347 ,346 ,467, 479 ,358 ,357 ,478 296, 469, 348 ,347 ,468, 480 ,359 ,358 ,479 297, 470, 349 ,348 ,469, 481 ,360 ,359 ,480 298, 471, 350 ,349 ,470, 482 ,361 ,360 ,481 299, 472, 351 ,350 ,471, 483 ,362 ,361 ,482 300, 473, 352 ,351 ,472, 484 ,363 ,362 ,483 301, 486, 365 ,364 ,485, 497 ,376 ,375 ,496 302, 487, 366 ,365 ,486, 498 ,377 ,376 ,497 303, 488, 367 ,366 ,487, 499 ,378 ,377 ,498 304, 489, 368 ,367 ,488, 500 ,379 ,378 ,499 305, 490, 369 ,368 ,489, 501 ,380 ,379 ,500 306, 491, 370 ,369 ,490, 502 ,381 ,380 ,501 307, 492, 371 ,370 ,491, 503 ,382 ,381 ,502 308, 493, 372 ,371 ,492, 504 ,383 ,382 ,503 309, 494, 373 ,372 ,493, 505 ,384 ,383 ,504 310, 495, 374 ,373 ,494, 506 ,385 ,384 ,505 311, 497, 376 ,375 ,496, 508 ,387 ,386 ,507 312, 498, 377 ,376 ,497, 509 ,388 ,387 ,508 313, 499, 378 ,377 ,498, 510 ,389 ,388 ,509 314, 500, 379 ,378 ,499, 511 ,390 ,389 ,510 315, 501, 380 ,379 ,500, 512 ,391 ,390 ,511 316, 502, 381 ,380 ,501, 513 ,392 ,391 ,512 317, 503, 382 ,381 ,502, 514 ,393 ,392 ,513 318, 504, 383 ,382 ,503, 515 ,394 ,393 ,514 319, 505, 384 ,383 ,504, 516 ,395 ,394 ,515 320, 506, 385 ,384 ,505, 517 ,396 ,395 ,516 321, 508, 387 ,386 ,507, 519 ,398 ,397 ,518 322, 509, 388 ,387 ,508, 520 ,399 ,398 ,519 323, 510, 389 ,388 ,509, 521 ,400 ,399 ,520 324, 511, 390 ,389 ,510, 522 ,401 ,400 ,521 325, 512, 391 ,390 ,511, 523 ,402 ,401 ,522 326, 513, 392 ,391 ,512, 524 ,403 ,402 ,523 327, 514, 393 ,392 ,513, 525 ,404 ,403 ,524 328, 515, 394 ,393 ,514, 526 ,405 ,404 ,525 329, 516, 395 ,394 ,515, 527 ,406 ,405 ,526 330, 517, 396 ,395 ,516, 528 ,407 ,406 ,527 331, 519, 398 ,397 ,518, 530 ,409 ,408 ,529 332, 520, 399 ,398 ,519, 531 ,410 ,409 ,530 333, 521, 400 ,399 ,520, 532 ,411 ,410 ,531 334, 522, 401 ,400 ,521, 533 ,412 ,411 ,532 335, 523, 402 ,401 ,522, 534 ,413 ,412 ,533 336, 524, 403 ,402 ,523, 535 ,414 ,413 ,534 337, 525, 404 ,403 ,524, 536 ,415 ,414 ,535 338, 526, 405 ,404 ,525, 537 ,416 ,415 ,536 339, 527, 406 ,405 ,526, 538 ,417 ,416 ,537 340, 528, 407 ,406 ,527, 539 ,418 ,417 ,538 341, 530, 409 ,408 ,529, 541 ,420 ,419 ,540 342, 531, 410 ,409 ,530, 542 ,421 ,420 ,541 343, 532, 411 ,410 ,531, 543 ,422 ,421 ,542 344, 533, 412 ,411 ,532, 544 ,423 ,422 ,543 345, 534, 413 ,412 ,533, 545 ,424 ,423 ,544 346, 535, 414 ,413 ,534, 546 ,425 ,424 ,545 347, 536, 415 ,414 ,535, 547 ,426 ,425 ,546 348, 537, 416 ,415 ,536, 548 ,427 ,426 ,547 349, 538, 417 ,416 ,537, 549 ,428 ,427 ,548 350, 539, 418 ,417 ,538, 550 ,429 ,428 ,549 351, 541, 420 ,419 ,540, 552 ,431 ,430 ,551 352, 542, 421 ,420 ,541, 553 ,432 ,431 ,552 353, 543, 422 ,421 ,542, 554 ,433 ,432 ,553 354, 544, 423 ,422 ,543, 555 ,434 ,433 ,554 355, 545, 424 ,423 ,544, 556 ,435 ,434 ,555 356, 546, 425 ,424 ,545, 557 ,436 ,435 ,556 357, 547, 426 ,425 ,546, 558 ,437 ,436 ,557 358, 548, 427 ,426 ,547, 559 ,438 ,437 ,558 359, 549, 428 ,427 ,548, 560 ,439 ,438 ,559 360, 550, 429 ,428 ,549, 561 ,440 ,439 ,560 361, 552, 431 ,430 ,551, 563 ,442 ,441 ,562 362, 553, 432 ,431 ,552, 564 ,443 ,442 ,563 363, 554, 433 ,432 ,553, 565 ,444 ,443 ,564 364, 555, 434 ,433 ,554, 566 ,445 ,444 ,565 365, 556, 435 ,434 ,555, 567 ,446 ,445 ,566 366, 557, 436 ,435 ,556, 568 ,447 ,446 ,567 367, 558, 437 ,436 ,557, 569 ,448 ,447 ,568 368, 559, 438 ,437 ,558, 570 ,449 ,448 ,569 369, 560, 439 ,438 ,559, 571 ,450 ,449 ,570 370, 561, 440 ,439 ,560, 572 ,451 ,450 ,571 371, 563, 442 ,441 ,562, 574 ,453 ,452 ,573 372, 564, 443 ,442 ,563, 575 ,454 ,453 ,574 373, 565, 444 ,443 ,564, 576 ,455 ,454 ,575 374, 566, 445 ,444 ,565, 577 ,456 ,455 ,576 375, 567, 446 ,445 ,566, 578 ,457 ,456 ,577 376, 568, 447 ,446 ,567, 579 ,458 ,457 ,578 377, 569, 448 ,447 ,568, 580 ,459 ,458 ,579 378, 570, 449 ,448 ,569, 581 ,460 ,459 ,580 379, 571, 450 ,449 ,570, 582 ,461 ,460 ,581 380, 572, 451 ,450 ,571, 583 ,462 ,461 ,582 381, 574, 453 ,452 ,573, 585 ,464 ,463 ,584 382, 575, 454 ,453 ,574, 586 ,465 ,464 ,585 383, 576, 455 ,454 ,575, 587 ,466 ,465 ,586 384, 577, 456 ,455 ,576, 588 ,467 ,466 ,587 385, 578, 457 ,456 ,577, 589 ,468 ,467 ,588 386, 579, 458 ,457 ,578, 590 ,469 ,468 ,589 387, 580, 459 ,458 ,579, 591 ,470 ,469 ,590 388, 581, 460 ,459 ,580, 592 ,471 ,470 ,591 389, 582, 461 ,460 ,581, 593 ,472 ,471 ,592 390, 583, 462 ,461 ,582, 594 ,473 ,472 ,593 391, 585, 464 ,463 ,584, 596 ,475 ,474 ,595 392, 586, 465 ,464 ,585, 597 ,476 ,475 ,596 393, 587, 466 ,465 ,586, 598 ,477 ,476 ,597 394, 588, 467 ,466 ,587, 599 ,478 ,477 ,598 395, 589, 468 ,467 ,588, 600 ,479 ,478 ,599 396, 590, 469 ,468 ,589, 601 ,480 ,479 ,600 397, 591, 470 ,469 ,590, 602 ,481 ,480 ,601 398, 592, 471 ,470 ,591, 603 ,482 ,481 ,602 399, 593, 472 ,471 ,592, 604 ,483 ,482 ,603 400, 594, 473 ,472 ,593, 605 ,484 ,483 ,604 401, 607, 486 ,485 ,606, 618 ,497 ,496 ,617 402, 608, 487 ,486 ,607, 619 ,498 ,497 ,618 403, 609, 488 ,487 ,608, 620 ,499 ,498 ,619 404, 610, 489 ,488 ,609, 621 ,500 ,499 ,620 405, 611, 490 ,489 ,610, 622 ,501 ,500 ,621 406, 612, 491 ,490 ,611, 623 ,502 ,501 ,622 407, 613, 492 ,491 ,612, 624 ,503 ,502 ,623 408, 614, 493 ,492 ,613, 625 ,504 ,503 ,624 409, 615, 494 ,493 ,614, 626 ,505 ,504 ,625 410, 616, 495 ,494 ,615, 627 ,506 ,505 ,626 411, 618, 497 ,496 ,617, 629 ,508 ,507 ,628 412, 619, 498 ,497 ,618, 630 ,509 ,508 ,629 413, 620, 499 ,498 ,619, 631 ,510 ,509 ,630 414, 621, 500 ,499 ,620, 632 ,511 ,510 ,631 415, 622, 501 ,500 ,621, 633 ,512 ,511 ,632 416, 623, 502 ,501 ,622, 634 ,513 ,512 ,633 417, 624, 503 ,502 ,623, 635 ,514 ,513 ,634 418, 625, 504 ,503 ,624, 636 ,515 ,514 ,635 419, 626, 505 ,504 ,625, 637 ,516 ,515 ,636 420, 627, 506 ,505 ,626, 638 ,517 ,516 ,637 421, 629, 508 ,507 ,628, 640 ,519 ,518 ,639 422, 630, 509 ,508 ,629, 641 ,520 ,519 ,640 423, 631, 510 ,509 ,630, 642 ,521 ,520 ,641 424, 632, 511 ,510 ,631, 643 ,522 ,521 ,642 425, 633, 512 ,511 ,632, 644 ,523 ,522 ,643 426, 634, 513 ,512 ,633, 645 ,524 ,523 ,644 427, 635, 514 ,513 ,634, 646 ,525 ,524 ,645 428, 636, 515 ,514 ,635, 647 ,526 ,525 ,646 429, 637, 516 ,515 ,636, 648 ,527 ,526 ,647 430, 638, 517 ,516 ,637, 649 ,528 ,527 ,648 431, 640, 519 ,518 ,639, 651 ,530 ,529 ,650 432, 641, 520 ,519 ,640, 652 ,531 ,530 ,651 433, 642, 521 ,520 ,641, 653 ,532 ,531 ,652 434, 643, 522 ,521 ,642, 654 ,533 ,532 ,653 435, 644, 523 ,522 ,643, 655 ,534 ,533 ,654 436, 645, 524 ,523 ,644, 656 ,535 ,534 ,655 437, 646, 525 ,524 ,645, 657 ,536 ,535 ,656 438, 647, 526 ,525 ,646, 658 ,537 ,536 ,657 439, 648, 527 ,526 ,647, 659 ,538 ,537 ,658 440, 649, 528 ,527 ,648, 660 ,539 ,538 ,659 441, 651, 530 ,529 ,650, 662 ,541 ,540 ,661 442, 652, 531 ,530 ,651, 663 ,542 ,541 ,662 443, 653, 532 ,531 ,652, 664 ,543 ,542 ,663 444, 654, 533 ,532 ,653, 665 ,544 ,543 ,664 445, 655, 534 ,533 ,654, 666 ,545 ,544 ,665 446, 656, 535 ,534 ,655, 667 ,546 ,545 ,666 447, 657, 536 ,535 ,656, 668 ,547 ,546 ,667 448, 658, 537 ,536 ,657, 669 ,548 ,547 ,668 449, 659, 538 ,537 ,658, 670 ,549 ,548 ,669 450, 660, 539 ,538 ,659, 671 ,550 ,549 ,670 451, 662, 541 ,540 ,661, 673 ,552 ,551 ,672 452, 663, 542 ,541 ,662, 674 ,553 ,552 ,673 453, 664, 543 ,542 ,663, 675 ,554 ,553 ,674 454, 665, 544 ,543 ,664, 676 ,555 ,554 ,675 455, 666, 545 ,544 ,665, 677 ,556 ,555 ,676 456, 667, 546 ,545 ,666, 678 ,557 ,556 ,677 457, 668, 547 ,546 ,667, 679 ,558 ,557 ,678 458, 669, 548 ,547 ,668, 680 ,559 ,558 ,679 459, 670, 549 ,548 ,669, 681 ,560 ,559 ,680 460, 671, 550 ,549 ,670, 682 ,561 ,560 ,681 461, 673, 552 ,551 ,672, 684 ,563 ,562 ,683 462, 674, 553 ,552 ,673, 685 ,564 ,563 ,684 463, 675, 554 ,553 ,674, 686 ,565 ,564 ,685 464, 676, 555 ,554 ,675, 687 ,566 ,565 ,686 465, 677, 556 ,555 ,676, 688 ,567 ,566 ,687 466, 678, 557 ,556 ,677, 689 ,568 ,567 ,688 467, 679, 558 ,557 ,678, 690 ,569 ,568 ,689 468, 680, 559 ,558 ,679, 691 ,570 ,569 ,690 469, 681, 560 ,559 ,680, 692 ,571 ,570 ,691 470, 682, 561 ,560 ,681, 693 ,572 ,571 ,692 471, 684, 563 ,562 ,683, 695 ,574 ,573 ,694 472, 685, 564 ,563 ,684, 696 ,575 ,574 ,695 473, 686, 565 ,564 ,685, 697 ,576 ,575 ,696 474, 687, 566 ,565 ,686, 698 ,577 ,576 ,697 475, 688, 567 ,566 ,687, 699 ,578 ,577 ,698 476, 689, 568 ,567 ,688, 700 ,579 ,578 ,699 477, 690, 569 ,568 ,689, 701 ,580 ,579 ,700 478, 691, 570 ,569 ,690, 702 ,581 ,580 ,701 479, 692, 571 ,570 ,691, 703 ,582 ,581 ,702 480, 693, 572 ,571 ,692, 704 ,583 ,582 ,703 481, 695, 574 ,573 ,694, 706 ,585 ,584 ,705 482, 696, 575 ,574 ,695, 707 ,586 ,585 ,706 483, 697, 576 ,575 ,696, 708 ,587 ,586 ,707 484, 698, 577 ,576 ,697, 709 ,588 ,587 ,708 485, 699, 578 ,577 ,698, 710 ,589 ,588 ,709 486, 700, 579 ,578 ,699, 711 ,590 ,589 ,710 487, 701, 580 ,579 ,700, 712 ,591 ,590 ,711 488, 702, 581 ,580 ,701, 713 ,592 ,591 ,712 489, 703, 582 ,581 ,702, 714 ,593 ,592 ,713 490, 704, 583 ,582 ,703, 715 ,594 ,593 ,714 491, 706, 585 ,584 ,705, 717 ,596 ,595 ,716 492, 707, 586 ,585 ,706, 718 ,597 ,596 ,717 493, 708, 587 ,586 ,707, 719 ,598 ,597 ,718 494, 709, 588 ,587 ,708, 720 ,599 ,598 ,719 495, 710, 589 ,588 ,709, 721 ,600 ,599 ,720 496, 711, 590 ,589 ,710, 722 ,601 ,600 ,721 497, 712, 591 ,590 ,711, 723 ,602 ,601 ,722 498, 713, 592 ,591 ,712, 724 ,603 ,602 ,723 499, 714, 593 ,592 ,713, 725 ,604 ,603 ,724 500, 715, 594 ,593 ,714, 726 ,605 ,604 ,725 501, 728, 607 ,606 ,727, 739 ,618 ,617 ,738 502, 729, 608 ,607 ,728, 740 ,619 ,618 ,739 503, 730, 609 ,608 ,729, 741 ,620 ,619 ,740 504, 731, 610 ,609 ,730, 742 ,621 ,620 ,741 505, 732, 611 ,610 ,731, 743 ,622 ,621 ,742 506, 733, 612 ,611 ,732, 744 ,623 ,622 ,743 507, 734, 613 ,612 ,733, 745 ,624 ,623 ,744 508, 735, 614 ,613 ,734, 746 ,625 ,624 ,745 509, 736, 615 ,614 ,735, 747 ,626 ,625 ,746 510, 737, 616 ,615 ,736, 748 ,627 ,626 ,747 511, 739, 618 ,617 ,738, 750 ,629 ,628 ,749 512, 740, 619 ,618 ,739, 751 ,630 ,629 ,750 513, 741, 620 ,619 ,740, 752 ,631 ,630 ,751 514, 742, 621 ,620 ,741, 753 ,632 ,631 ,752 515, 743, 622 ,621 ,742, 754 ,633 ,632 ,753 516, 744, 623 ,622 ,743, 755 ,634 ,633 ,754 517, 745, 624 ,623 ,744, 756 ,635 ,634 ,755 518, 746, 625 ,624 ,745, 757 ,636 ,635 ,756 519, 747, 626 ,625 ,746, 758 ,637 ,636 ,757 520, 748, 627 ,626 ,747, 759 ,638 ,637 ,758 521, 750, 629 ,628 ,749, 761 ,640 ,639 ,760 522, 751, 630 ,629 ,750, 762 ,641 ,640 ,761 523, 752, 631 ,630 ,751, 763 ,642 ,641 ,762 524, 753, 632 ,631 ,752, 764 ,643 ,642 ,763 525, 754, 633 ,632 ,753, 765 ,644 ,643 ,764 526, 755, 634 ,633 ,754, 766 ,645 ,644 ,765 527, 756, 635 ,634 ,755, 767 ,646 ,645 ,766 528, 757, 636 ,635 ,756, 768 ,647 ,646 ,767 529, 758, 637 ,636 ,757, 769 ,648 ,647 ,768 530, 759, 638 ,637 ,758, 770 ,649 ,648 ,769 531, 761, 640 ,639 ,760, 772 ,651 ,650 ,771 532, 762, 641 ,640 ,761, 773 ,652 ,651 ,772 533, 763, 642 ,641 ,762, 774 ,653 ,652 ,773 534, 764, 643 ,642 ,763, 775 ,654 ,653 ,774 535, 765, 644 ,643 ,764, 776 ,655 ,654 ,775 536, 766, 645 ,644 ,765, 777 ,656 ,655 ,776 537, 767, 646 ,645 ,766, 778 ,657 ,656 ,777 538, 768, 647 ,646 ,767, 779 ,658 ,657 ,778 539, 769, 648 ,647 ,768, 780 ,659 ,658 ,779 540, 770, 649 ,648 ,769, 781 ,660 ,659 ,780 541, 772, 651 ,650 ,771, 783 ,662 ,661 ,782 542, 773, 652 ,651 ,772, 784 ,663 ,662 ,783 543, 774, 653 ,652 ,773, 785 ,664 ,663 ,784 544, 775, 654 ,653 ,774, 786 ,665 ,664 ,785 545, 776, 655 ,654 ,775, 787 ,666 ,665 ,786 546, 777, 656 ,655 ,776, 788 ,667 ,666 ,787 547, 778, 657 ,656 ,777, 789 ,668 ,667 ,788 548, 779, 658 ,657 ,778, 790 ,669 ,668 ,789 549, 780, 659 ,658 ,779, 791 ,670 ,669 ,790 550, 781, 660 ,659 ,780, 792 ,671 ,670 ,791 551, 783, 662 ,661 ,782, 794 ,673 ,672 ,793 552, 784, 663 ,662 ,783, 795 ,674 ,673 ,794 553, 785, 664 ,663 ,784, 796 ,675 ,674 ,795 554, 786, 665 ,664 ,785, 797 ,676 ,675 ,796 555, 787, 666 ,665 ,786, 798 ,677 ,676 ,797 556, 788, 667 ,666 ,787, 799 ,678 ,677 ,798 557, 789, 668 ,667 ,788, 800 ,679 ,678 ,799 558, 790, 669 ,668 ,789, 801 ,680 ,679 ,800 559, 791, 670 ,669 ,790, 802 ,681 ,680 ,801 560, 792, 671 ,670 ,791, 803 ,682 ,681 ,802 561, 794, 673 ,672 ,793, 805 ,684 ,683 ,804 562, 795, 674 ,673 ,794, 806 ,685 ,684 ,805 563, 796, 675 ,674 ,795, 807 ,686 ,685 ,806 564, 797, 676 ,675 ,796, 808 ,687 ,686 ,807 565, 798, 677 ,676 ,797, 809 ,688 ,687 ,808 566, 799, 678 ,677 ,798, 810 ,689 ,688 ,809 567, 800, 679 ,678 ,799, 811 ,690 ,689 ,810 568, 801, 680 ,679 ,800, 812 ,691 ,690 ,811 569, 802, 681 ,680 ,801, 813 ,692 ,691 ,812 570, 803, 682 ,681 ,802, 814 ,693 ,692 ,813 571, 805, 684 ,683 ,804, 816 ,695 ,694 ,815 572, 806, 685 ,684 ,805, 817 ,696 ,695 ,816 573, 807, 686 ,685 ,806, 818 ,697 ,696 ,817 574, 808, 687 ,686 ,807, 819 ,698 ,697 ,818 575, 809, 688 ,687 ,808, 820 ,699 ,698 ,819 576, 810, 689 ,688 ,809, 821 ,700 ,699 ,820 577, 811, 690 ,689 ,810, 822 ,701 ,700 ,821 578, 812, 691 ,690 ,811, 823 ,702 ,701 ,822 579, 813, 692 ,691 ,812, 824 ,703 ,702 ,823 580, 814, 693 ,692 ,813, 825 ,704 ,703 ,824 581, 816, 695 ,694 ,815, 827 ,706 ,705 ,826 582, 817, 696 ,695 ,816, 828 ,707 ,706 ,827 583, 818, 697 ,696 ,817, 829 ,708 ,707 ,828 584, 819, 698 ,697 ,818, 830 ,709 ,708 ,829 585, 820, 699 ,698 ,819, 831 ,710 ,709 ,830 586, 821, 700 ,699 ,820, 832 ,711 ,710 ,831 587, 822, 701 ,700 ,821, 833 ,712 ,711 ,832 588, 823, 702 ,701 ,822, 834 ,713 ,712 ,833 589, 824, 703 ,702 ,823, 835 ,714 ,713 ,834 590, 825, 704 ,703 ,824, 836 ,715 ,714 ,835 591, 827, 706 ,705 ,826, 838 ,717 ,716 ,837 592, 828, 707 ,706 ,827, 839 ,718 ,717 ,838 593, 829, 708 ,707 ,828, 840 ,719 ,718 ,839 594, 830, 709 ,708 ,829, 841 ,720 ,719 ,840 595, 831, 710 ,709 ,830, 842 ,721 ,720 ,841 596, 832, 711 ,710 ,831, 843 ,722 ,721 ,842 597, 833, 712 ,711 ,832, 844 ,723 ,722 ,843 598, 834, 713 ,712 ,833, 845 ,724 ,723 ,844 599, 835, 714 ,713 ,834, 846 ,725 ,724 ,845 600, 836, 715 ,714 ,835, 847 ,726 ,725 ,846 601, 849, 728 ,727 ,848, 860 ,739 ,738 ,859 602, 850, 729 ,728 ,849, 861 ,740 ,739 ,860 603, 851, 730 ,729 ,850, 862 ,741 ,740 ,861 604, 852, 731 ,730 ,851, 863 ,742 ,741 ,862 605, 853, 732 ,731 ,852, 864 ,743 ,742 ,863 606, 854, 733 ,732 ,853, 865 ,744 ,743 ,864 607, 855, 734 ,733 ,854, 866 ,745 ,744 ,865 608, 856, 735 ,734 ,855, 867 ,746 ,745 ,866 609, 857, 736 ,735 ,856, 868 ,747 ,746 ,867 610, 858, 737 ,736 ,857, 869 ,748 ,747 ,868 611, 860, 739 ,738 ,859, 871 ,750 ,749 ,870 612, 861, 740 ,739 ,860, 872 ,751 ,750 ,871 613, 862, 741 ,740 ,861, 873 ,752 ,751 ,872 614, 863, 742 ,741 ,862, 874 ,753 ,752 ,873 615, 864, 743 ,742 ,863, 875 ,754 ,753 ,874 616, 865, 744 ,743 ,864, 876 ,755 ,754 ,875 617, 866, 745 ,744 ,865, 877 ,756 ,755 ,876 618, 867, 746 ,745 ,866, 878 ,757 ,756 ,877 619, 868, 747 ,746 ,867, 879 ,758 ,757 ,878 620, 869, 748 ,747 ,868, 880 ,759 ,758 ,879 621, 871, 750 ,749 ,870, 882 ,761 ,760 ,881 622, 872, 751 ,750 ,871, 883 ,762 ,761 ,882 623, 873, 752 ,751 ,872, 884 ,763 ,762 ,883 624, 874, 753 ,752 ,873, 885 ,764 ,763 ,884 625, 875, 754 ,753 ,874, 886 ,765 ,764 ,885 626, 876, 755 ,754 ,875, 887 ,766 ,765 ,886 627, 877, 756 ,755 ,876, 888 ,767 ,766 ,887 628, 878, 757 ,756 ,877, 889 ,768 ,767 ,888 629, 879, 758 ,757 ,878, 890 ,769 ,768 ,889 630, 880, 759 ,758 ,879, 891 ,770 ,769 ,890 631, 882, 761 ,760 ,881, 893 ,772 ,771 ,892 632, 883, 762 ,761 ,882, 894 ,773 ,772 ,893 633, 884, 763 ,762 ,883, 895 ,774 ,773 ,894 634, 885, 764 ,763 ,884, 896 ,775 ,774 ,895 635, 886, 765 ,764 ,885, 897 ,776 ,775 ,896 636, 887, 766 ,765 ,886, 898 ,777 ,776 ,897 637, 888, 767 ,766 ,887, 899 ,778 ,777 ,898 638, 889, 768 ,767 ,888, 900 ,779 ,778 ,899 639, 890, 769 ,768 ,889, 901 ,780 ,779 ,900 640, 891, 770 ,769 ,890, 902 ,781 ,780 ,901 641, 893, 772 ,771 ,892, 904 ,783 ,782 ,903 642, 894, 773 ,772 ,893, 905 ,784 ,783 ,904 643, 895, 774 ,773 ,894, 906 ,785 ,784 ,905 644, 896, 775 ,774 ,895, 907 ,786 ,785 ,906 645, 897, 776 ,775 ,896, 908 ,787 ,786 ,907 646, 898, 777 ,776 ,897, 909 ,788 ,787 ,908 647, 899, 778 ,777 ,898, 910 ,789 ,788 ,909 648, 900, 779 ,778 ,899, 911 ,790 ,789 ,910 649, 901, 780 ,779 ,900, 912 ,791 ,790 ,911 650, 902, 781 ,780 ,901, 913 ,792 ,791 ,912 651, 904, 783 ,782 ,903, 915 ,794 ,793 ,914 652, 905, 784 ,783 ,904, 916 ,795 ,794 ,915 653, 906, 785 ,784 ,905, 917 ,796 ,795 ,916 654, 907, 786 ,785 ,906, 918 ,797 ,796 ,917 655, 908, 787 ,786 ,907, 919 ,798 ,797 ,918 656, 909, 788 ,787 ,908, 920 ,799 ,798 ,919 657, 910, 789 ,788 ,909, 921 ,800 ,799 ,920 658, 911, 790 ,789 ,910, 922 ,801 ,800 ,921 659, 912, 791 ,790 ,911, 923 ,802 ,801 ,922 660, 913, 792 ,791 ,912, 924 ,803 ,802 ,923 661, 915, 794 ,793 ,914, 926 ,805 ,804 ,925 662, 916, 795 ,794 ,915, 927 ,806 ,805 ,926 663, 917, 796 ,795 ,916, 928 ,807 ,806 ,927 664, 918, 797 ,796 ,917, 929 ,808 ,807 ,928 665, 919, 798 ,797 ,918, 930 ,809 ,808 ,929 666, 920, 799 ,798 ,919, 931 ,810 ,809 ,930 667, 921, 800 ,799 ,920, 932 ,811 ,810 ,931 668, 922, 801 ,800 ,921, 933 ,812 ,811 ,932 669, 923, 802 ,801 ,922, 934 ,813 ,812 ,933 670, 924, 803 ,802 ,923, 935 ,814 ,813 ,934 671, 926, 805 ,804 ,925, 937 ,816 ,815 ,936 672, 927, 806 ,805 ,926, 938 ,817 ,816 ,937 673, 928, 807 ,806 ,927, 939 ,818 ,817 ,938 674, 929, 808 ,807 ,928, 940 ,819 ,818 ,939 675, 930, 809 ,808 ,929, 941 ,820 ,819 ,940 676, 931, 810 ,809 ,930, 942 ,821 ,820 ,941 677, 932, 811 ,810 ,931, 943 ,822 ,821 ,942 678, 933, 812 ,811 ,932, 944 ,823 ,822 ,943 679, 934, 813 ,812 ,933, 945 ,824 ,823 ,944 680, 935, 814 ,813 ,934, 946 ,825 ,824 ,945 681, 937, 816 ,815 ,936, 948 ,827 ,826 ,947 682, 938, 817 ,816 ,937, 949 ,828 ,827 ,948 683, 939, 818 ,817 ,938, 950 ,829 ,828 ,949 684, 940, 819 ,818 ,939, 951 ,830 ,829 ,950 685, 941, 820 ,819 ,940, 952 ,831 ,830 ,951 686, 942, 821 ,820 ,941, 953 ,832 ,831 ,952 687, 943, 822 ,821 ,942, 954 ,833 ,832 ,953 688, 944, 823 ,822 ,943, 955 ,834 ,833 ,954 689, 945, 824 ,823 ,944, 956 ,835 ,834 ,955 690, 946, 825 ,824 ,945, 957 ,836 ,835 ,956 691, 948, 827 ,826 ,947, 959 ,838 ,837 ,958 692, 949, 828 ,827 ,948, 960 ,839 ,838 ,959 693, 950, 829 ,828 ,949, 961 ,840 ,839 ,960 694, 951, 830 ,829 ,950, 962 ,841 ,840 ,961 695, 952, 831 ,830 ,951, 963 ,842 ,841 ,962 696, 953, 832 ,831 ,952, 964 ,843 ,842 ,963 697, 954, 833 ,832 ,953, 965 ,844 ,843 ,964 698, 955, 834 ,833 ,954, 966 ,845 ,844 ,965 699, 956, 835 ,834 ,955, 967 ,846 ,845 ,966 700, 957, 836 ,835 ,956, 968 ,847 ,846 ,967 701, 970, 849 ,848 ,969, 981 ,860 ,859 ,980 702, 971, 850 ,849 ,970, 982 ,861 ,860 ,981 703, 972, 851 ,850 ,971, 983 ,862 ,861 ,982 704, 973, 852 ,851 ,972, 984 ,863 ,862 ,983 705, 974, 853 ,852 ,973, 985 ,864 ,863 ,984 706, 975, 854 ,853 ,974, 986 ,865 ,864 ,985 707, 976, 855 ,854 ,975, 987 ,866 ,865 ,986 708, 977, 856 ,855 ,976, 988 ,867 ,866 ,987 709, 978, 857 ,856 ,977, 989 ,868 ,867 ,988 710, 979, 858 ,857 ,978, 990 ,869 ,868 ,989 711, 981, 860 ,859 ,980, 992 ,871 ,870 ,991 712, 982, 861 ,860 ,981, 993 ,872 ,871 ,992 713, 983, 862 ,861 ,982, 994 ,873 ,872 ,993 714, 984, 863 ,862 ,983, 995 ,874 ,873 ,994 715, 985, 864 ,863 ,984, 996 ,875 ,874 ,995 716, 986, 865 ,864 ,985, 997 ,876 ,875 ,996 717, 987, 866 ,865 ,986, 998 ,877 ,876 ,997 718, 988, 867 ,866 ,987, 999 ,878 ,877 ,998 719, 989, 868 ,867 ,988, 1000 ,879 ,878 ,999 720, 990, 869 ,868 ,989, 1001 ,880 ,879 ,1000 721, 992, 871 ,870 ,991, 1003 ,882 ,881 ,1002 722, 993, 872 ,871 ,992, 1004 ,883 ,882 ,1003 723, 994, 873 ,872 ,993, 1005 ,884 ,883 ,1004 724, 995, 874 ,873 ,994, 1006 ,885 ,884 ,1005 725, 996, 875 ,874 ,995, 1007 ,886 ,885 ,1006 726, 997, 876 ,875 ,996, 1008 ,887 ,886 ,1007 727, 998, 877 ,876 ,997, 1009 ,888 ,887 ,1008 728, 999, 878 ,877 ,998, 1010 ,889 ,888 ,1009 729, 1000, 879 ,878 ,999, 1011 ,890 ,889 ,1010 730, 1001, 880 ,879 ,1000, 1012 ,891 ,890 ,1011 731, 1003, 882 ,881 ,1002, 1014 ,893 ,892 ,1013 732, 1004, 883 ,882 ,1003, 1015 ,894 ,893 ,1014 733, 1005, 884 ,883 ,1004, 1016 ,895 ,894 ,1015 734, 1006, 885 ,884 ,1005, 1017 ,896 ,895 ,1016 735, 1007, 886 ,885 ,1006, 1018 ,897 ,896 ,1017 736, 1008, 887 ,886 ,1007, 1019 ,898 ,897 ,1018 737, 1009, 888 ,887 ,1008, 1020 ,899 ,898 ,1019 738, 1010, 889 ,888 ,1009, 1021 ,900 ,899 ,1020 739, 1011, 890 ,889 ,1010, 1022 ,901 ,900 ,1021 740, 1012, 891 ,890 ,1011, 1023 ,902 ,901 ,1022 741, 1014, 893 ,892 ,1013, 1025 ,904 ,903 ,1024 742, 1015, 894 ,893 ,1014, 1026 ,905 ,904 ,1025 743, 1016, 895 ,894 ,1015, 1027 ,906 ,905 ,1026 744, 1017, 896 ,895 ,1016, 1028 ,907 ,906 ,1027 745, 1018, 897 ,896 ,1017, 1029 ,908 ,907 ,1028 746, 1019, 898 ,897 ,1018, 1030 ,909 ,908 ,1029 747, 1020, 899 ,898 ,1019, 1031 ,910 ,909 ,1030 748, 1021, 900 ,899 ,1020, 1032 ,911 ,910 ,1031 749, 1022, 901 ,900 ,1021, 1033 ,912 ,911 ,1032 750, 1023, 902 ,901 ,1022, 1034 ,913 ,912 ,1033 751, 1025, 904 ,903 ,1024, 1036 ,915 ,914 ,1035 752, 1026, 905 ,904 ,1025, 1037 ,916 ,915 ,1036 753, 1027, 906 ,905 ,1026, 1038 ,917 ,916 ,1037 754, 1028, 907 ,906 ,1027, 1039 ,918 ,917 ,1038 755, 1029, 908 ,907 ,1028, 1040 ,919 ,918 ,1039 756, 1030, 909 ,908 ,1029, 1041 ,920 ,919 ,1040 757, 1031, 910 ,909 ,1030, 1042 ,921 ,920 ,1041 758, 1032, 911 ,910 ,1031, 1043 ,922 ,921 ,1042 759, 1033, 912 ,911 ,1032, 1044 ,923 ,922 ,1043 760, 1034, 913 ,912 ,1033, 1045 ,924 ,923 ,1044 761, 1036, 915 ,914 ,1035, 1047 ,926 ,925 ,1046 762, 1037, 916 ,915 ,1036, 1048 ,927 ,926 ,1047 763, 1038, 917 ,916 ,1037, 1049 ,928 ,927 ,1048 764, 1039, 918 ,917 ,1038, 1050 ,929 ,928 ,1049 765, 1040, 919 ,918 ,1039, 1051 ,930 ,929 ,1050 766, 1041, 920 ,919 ,1040, 1052 ,931 ,930 ,1051 767, 1042, 921 ,920 ,1041, 1053 ,932 ,931 ,1052 768, 1043, 922 ,921 ,1042, 1054 ,933 ,932 ,1053 769, 1044, 923 ,922 ,1043, 1055 ,934 ,933 ,1054 770, 1045, 924 ,923 ,1044, 1056 ,935 ,934 ,1055 771, 1047, 926 ,925 ,1046, 1058 ,937 ,936 ,1057 772, 1048, 927 ,926 ,1047, 1059 ,938 ,937 ,1058 773, 1049, 928 ,927 ,1048, 1060 ,939 ,938 ,1059 774, 1050, 929 ,928 ,1049, 1061 ,940 ,939 ,1060 775, 1051, 930 ,929 ,1050, 1062 ,941 ,940 ,1061 776, 1052, 931 ,930 ,1051, 1063 ,942 ,941 ,1062 777, 1053, 932 ,931 ,1052, 1064 ,943 ,942 ,1063 778, 1054, 933 ,932 ,1053, 1065 ,944 ,943 ,1064 779, 1055, 934 ,933 ,1054, 1066 ,945 ,944 ,1065 780, 1056, 935 ,934 ,1055, 1067 ,946 ,945 ,1066 781, 1058, 937 ,936 ,1057, 1069 ,948 ,947 ,1068 782, 1059, 938 ,937 ,1058, 1070 ,949 ,948 ,1069 783, 1060, 939 ,938 ,1059, 1071 ,950 ,949 ,1070 784, 1061, 940 ,939 ,1060, 1072 ,951 ,950 ,1071 785, 1062, 941 ,940 ,1061, 1073 ,952 ,951 ,1072 786, 1063, 942 ,941 ,1062, 1074 ,953 ,952 ,1073 787, 1064, 943 ,942 ,1063, 1075 ,954 ,953 ,1074 788, 1065, 944 ,943 ,1064, 1076 ,955 ,954 ,1075 789, 1066, 945 ,944 ,1065, 1077 ,956 ,955 ,1076 790, 1067, 946 ,945 ,1066, 1078 ,957 ,956 ,1077 791, 1069, 948 ,947 ,1068, 1080 ,959 ,958 ,1079 792, 1070, 949 ,948 ,1069, 1081 ,960 ,959 ,1080 793, 1071, 950 ,949 ,1070, 1082 ,961 ,960 ,1081 794, 1072, 951 ,950 ,1071, 1083 ,962 ,961 ,1082 795, 1073, 952 ,951 ,1072, 1084 ,963 ,962 ,1083 796, 1074, 953 ,952 ,1073, 1085 ,964 ,963 ,1084 797, 1075, 954 ,953 ,1074, 1086 ,965 ,964 ,1085 798, 1076, 955 ,954 ,1075, 1087 ,966 ,965 ,1086 799, 1077, 956 ,955 ,1076, 1088 ,967 ,966 ,1087 800, 1078, 957 ,956 ,1077, 1089 ,968 ,967 ,1088 801, 1091, 970 ,969 ,1090, 1102 ,981 ,980 ,1101 802, 1092, 971 ,970 ,1091, 1103 ,982 ,981 ,1102 803, 1093, 972 ,971 ,1092, 1104 ,983 ,982 ,1103 804, 1094, 973 ,972 ,1093, 1105 ,984 ,983 ,1104 805, 1095, 974 ,973 ,1094, 1106 ,985 ,984 ,1105 806, 1096, 975 ,974 ,1095, 1107 ,986 ,985 ,1106 807, 1097, 976 ,975 ,1096, 1108 ,987 ,986 ,1107 808, 1098, 977 ,976 ,1097, 1109 ,988 ,987 ,1108 809, 1099, 978 ,977 ,1098, 1110 ,989 ,988 ,1109 810, 1100, 979 ,978 ,1099, 1111 ,990 ,989 ,1110 811, 1102, 981 ,980 ,1101, 1113 ,992 ,991 ,1112 812, 1103, 982 ,981 ,1102, 1114 ,993 ,992 ,1113 813, 1104, 983 ,982 ,1103, 1115 ,994 ,993 ,1114 814, 1105, 984 ,983 ,1104, 1116 ,995 ,994 ,1115 815, 1106, 985 ,984 ,1105, 1117 ,996 ,995 ,1116 816, 1107, 986 ,985 ,1106, 1118 ,997 ,996 ,1117 817, 1108, 987 ,986 ,1107, 1119 ,998 ,997 ,1118 818, 1109, 988 ,987 ,1108, 1120 ,999 ,998 ,1119 819, 1110, 989 ,988 ,1109, 1121 ,1000 ,999 ,1120 820, 1111, 990 ,989 ,1110, 1122 ,1001 ,1000 ,1121 821, 1113, 992 ,991 ,1112, 1124 ,1003 ,1002 ,1123 822, 1114, 993 ,992 ,1113, 1125 ,1004 ,1003 ,1124 823, 1115, 994 ,993 ,1114, 1126 ,1005 ,1004 ,1125 824, 1116, 995 ,994 ,1115, 1127 ,1006 ,1005 ,1126 825, 1117, 996 ,995 ,1116, 1128 ,1007 ,1006 ,1127 826, 1118, 997 ,996 ,1117, 1129 ,1008 ,1007 ,1128 827, 1119, 998 ,997 ,1118, 1130 ,1009 ,1008 ,1129 828, 1120, 999 ,998 ,1119, 1131 ,1010 ,1009 ,1130 829, 1121, 1000 ,999 ,1120, 1132 ,1011 ,1010 ,1131 830, 1122, 1001 ,1000 ,1121, 1133 ,1012 ,1011 ,1132 831, 1124, 1003 ,1002 ,1123, 1135 ,1014 ,1013 ,1134 832, 1125, 1004 ,1003 ,1124, 1136 ,1015 ,1014 ,1135 833, 1126, 1005 ,1004 ,1125, 1137 ,1016 ,1015 ,1136 834, 1127, 1006 ,1005 ,1126, 1138 ,1017 ,1016 ,1137 835, 1128, 1007 ,1006 ,1127, 1139 ,1018 ,1017 ,1138 836, 1129, 1008 ,1007 ,1128, 1140 ,1019 ,1018 ,1139 837, 1130, 1009 ,1008 ,1129, 1141 ,1020 ,1019 ,1140 838, 1131, 1010 ,1009 ,1130, 1142 ,1021 ,1020 ,1141 839, 1132, 1011 ,1010 ,1131, 1143 ,1022 ,1021 ,1142 840, 1133, 1012 ,1011 ,1132, 1144 ,1023 ,1022 ,1143 841, 1135, 1014 ,1013 ,1134, 1146 ,1025 ,1024 ,1145 842, 1136, 1015 ,1014 ,1135, 1147 ,1026 ,1025 ,1146 843, 1137, 1016 ,1015 ,1136, 1148 ,1027 ,1026 ,1147 844, 1138, 1017 ,1016 ,1137, 1149 ,1028 ,1027 ,1148 845, 1139, 1018 ,1017 ,1138, 1150 ,1029 ,1028 ,1149 846, 1140, 1019 ,1018 ,1139, 1151 ,1030 ,1029 ,1150 847, 1141, 1020 ,1019 ,1140, 1152 ,1031 ,1030 ,1151 848, 1142, 1021 ,1020 ,1141, 1153 ,1032 ,1031 ,1152 849, 1143, 1022 ,1021 ,1142, 1154 ,1033 ,1032 ,1153 850, 1144, 1023 ,1022 ,1143, 1155 ,1034 ,1033 ,1154 851, 1146, 1025 ,1024 ,1145, 1157 ,1036 ,1035 ,1156 852, 1147, 1026 ,1025 ,1146, 1158 ,1037 ,1036 ,1157 853, 1148, 1027 ,1026 ,1147, 1159 ,1038 ,1037 ,1158 854, 1149, 1028 ,1027 ,1148, 1160 ,1039 ,1038 ,1159 855, 1150, 1029 ,1028 ,1149, 1161 ,1040 ,1039 ,1160 856, 1151, 1030 ,1029 ,1150, 1162 ,1041 ,1040 ,1161 857, 1152, 1031 ,1030 ,1151, 1163 ,1042 ,1041 ,1162 858, 1153, 1032 ,1031 ,1152, 1164 ,1043 ,1042 ,1163 859, 1154, 1033 ,1032 ,1153, 1165 ,1044 ,1043 ,1164 860, 1155, 1034 ,1033 ,1154, 1166 ,1045 ,1044 ,1165 861, 1157, 1036 ,1035 ,1156, 1168 ,1047 ,1046 ,1167 862, 1158, 1037 ,1036 ,1157, 1169 ,1048 ,1047 ,1168 863, 1159, 1038 ,1037 ,1158, 1170 ,1049 ,1048 ,1169 864, 1160, 1039 ,1038 ,1159, 1171 ,1050 ,1049 ,1170 865, 1161, 1040 ,1039 ,1160, 1172 ,1051 ,1050 ,1171 866, 1162, 1041 ,1040 ,1161, 1173 ,1052 ,1051 ,1172 867, 1163, 1042 ,1041 ,1162, 1174 ,1053 ,1052 ,1173 868, 1164, 1043 ,1042 ,1163, 1175 ,1054 ,1053 ,1174 869, 1165, 1044 ,1043 ,1164, 1176 ,1055 ,1054 ,1175 870, 1166, 1045 ,1044 ,1165, 1177 ,1056 ,1055 ,1176 871, 1168, 1047 ,1046 ,1167, 1179 ,1058 ,1057 ,1178 872, 1169, 1048 ,1047 ,1168, 1180 ,1059 ,1058 ,1179 873, 1170, 1049 ,1048 ,1169, 1181 ,1060 ,1059 ,1180 874, 1171, 1050 ,1049 ,1170, 1182 ,1061 ,1060 ,1181 875, 1172, 1051 ,1050 ,1171, 1183 ,1062 ,1061 ,1182 876, 1173, 1052 ,1051 ,1172, 1184 ,1063 ,1062 ,1183 877, 1174, 1053 ,1052 ,1173, 1185 ,1064 ,1063 ,1184 878, 1175, 1054 ,1053 ,1174, 1186 ,1065 ,1064 ,1185 879, 1176, 1055 ,1054 ,1175, 1187 ,1066 ,1065 ,1186 880, 1177, 1056 ,1055 ,1176, 1188 ,1067 ,1066 ,1187 881, 1179, 1058 ,1057 ,1178, 1190 ,1069 ,1068 ,1189 882, 1180, 1059 ,1058 ,1179, 1191 ,1070 ,1069 ,1190 883, 1181, 1060 ,1059 ,1180, 1192 ,1071 ,1070 ,1191 884, 1182, 1061 ,1060 ,1181, 1193 ,1072 ,1071 ,1192 885, 1183, 1062 ,1061 ,1182, 1194 ,1073 ,1072 ,1193 886, 1184, 1063 ,1062 ,1183, 1195 ,1074 ,1073 ,1194 887, 1185, 1064 ,1063 ,1184, 1196 ,1075 ,1074 ,1195 888, 1186, 1065 ,1064 ,1185, 1197 ,1076 ,1075 ,1196 889, 1187, 1066 ,1065 ,1186, 1198 ,1077 ,1076 ,1197 890, 1188, 1067 ,1066 ,1187, 1199 ,1078 ,1077 ,1198 891, 1190, 1069 ,1068 ,1189, 1201 ,1080 ,1079 ,1200 892, 1191, 1070 ,1069 ,1190, 1202 ,1081 ,1080 ,1201 893, 1192, 1071 ,1070 ,1191, 1203 ,1082 ,1081 ,1202 894, 1193, 1072 ,1071 ,1192, 1204 ,1083 ,1082 ,1203 895, 1194, 1073 ,1072 ,1193, 1205 ,1084 ,1083 ,1204 896, 1195, 1074 ,1073 ,1194, 1206 ,1085 ,1084 ,1205 897, 1196, 1075 ,1074 ,1195, 1207 ,1086 ,1085 ,1206 898, 1197, 1076 ,1075 ,1196, 1208 ,1087 ,1086 ,1207 899, 1198, 1077 ,1076 ,1197, 1209 ,1088 ,1087 ,1208 900, 1199, 1078 ,1077 ,1198, 1210 ,1089 ,1088 ,1209 901, 1212, 1091 ,1090 ,1211, 1223 ,1102 ,1101 ,1222 902, 1213, 1092 ,1091 ,1212, 1224 ,1103 ,1102 ,1223 903, 1214, 1093 ,1092 ,1213, 1225 ,1104 ,1103 ,1224 904, 1215, 1094 ,1093 ,1214, 1226 ,1105 ,1104 ,1225 905, 1216, 1095 ,1094 ,1215, 1227 ,1106 ,1105 ,1226 906, 1217, 1096 ,1095 ,1216, 1228 ,1107 ,1106 ,1227 907, 1218, 1097 ,1096 ,1217, 1229 ,1108 ,1107 ,1228 908, 1219, 1098 ,1097 ,1218, 1230 ,1109 ,1108 ,1229 909, 1220, 1099 ,1098 ,1219, 1231 ,1110 ,1109 ,1230 910, 1221, 1100 ,1099 ,1220, 1232 ,1111 ,1110 ,1231 911, 1223, 1102 ,1101 ,1222, 1234 ,1113 ,1112 ,1233 912, 1224, 1103 ,1102 ,1223, 1235 ,1114 ,1113 ,1234 913, 1225, 1104 ,1103 ,1224, 1236 ,1115 ,1114 ,1235 914, 1226, 1105 ,1104 ,1225, 1237 ,1116 ,1115 ,1236 915, 1227, 1106 ,1105 ,1226, 1238 ,1117 ,1116 ,1237 916, 1228, 1107 ,1106 ,1227, 1239 ,1118 ,1117 ,1238 917, 1229, 1108 ,1107 ,1228, 1240 ,1119 ,1118 ,1239 918, 1230, 1109 ,1108 ,1229, 1241 ,1120 ,1119 ,1240 919, 1231, 1110 ,1109 ,1230, 1242 ,1121 ,1120 ,1241 920, 1232, 1111 ,1110 ,1231, 1243 ,1122 ,1121 ,1242 921, 1234, 1113 ,1112 ,1233, 1245 ,1124 ,1123 ,1244 922, 1235, 1114 ,1113 ,1234, 1246 ,1125 ,1124 ,1245 923, 1236, 1115 ,1114 ,1235, 1247 ,1126 ,1125 ,1246 924, 1237, 1116 ,1115 ,1236, 1248 ,1127 ,1126 ,1247 925, 1238, 1117 ,1116 ,1237, 1249 ,1128 ,1127 ,1248 926, 1239, 1118 ,1117 ,1238, 1250 ,1129 ,1128 ,1249 927, 1240, 1119 ,1118 ,1239, 1251 ,1130 ,1129 ,1250 928, 1241, 1120 ,1119 ,1240, 1252 ,1131 ,1130 ,1251 929, 1242, 1121 ,1120 ,1241, 1253 ,1132 ,1131 ,1252 930, 1243, 1122 ,1121 ,1242, 1254 ,1133 ,1132 ,1253 931, 1245, 1124 ,1123 ,1244, 1256 ,1135 ,1134 ,1255 932, 1246, 1125 ,1124 ,1245, 1257 ,1136 ,1135 ,1256 933, 1247, 1126 ,1125 ,1246, 1258 ,1137 ,1136 ,1257 934, 1248, 1127 ,1126 ,1247, 1259 ,1138 ,1137 ,1258 935, 1249, 1128 ,1127 ,1248, 1260 ,1139 ,1138 ,1259 936, 1250, 1129 ,1128 ,1249, 1261 ,1140 ,1139 ,1260 937, 1251, 1130 ,1129 ,1250, 1262 ,1141 ,1140 ,1261 938, 1252, 1131 ,1130 ,1251, 1263 ,1142 ,1141 ,1262 939, 1253, 1132 ,1131 ,1252, 1264 ,1143 ,1142 ,1263 940, 1254, 1133 ,1132 ,1253, 1265 ,1144 ,1143 ,1264 941, 1256, 1135 ,1134 ,1255, 1267 ,1146 ,1145 ,1266 942, 1257, 1136 ,1135 ,1256, 1268 ,1147 ,1146 ,1267 943, 1258, 1137 ,1136 ,1257, 1269 ,1148 ,1147 ,1268 944, 1259, 1138 ,1137 ,1258, 1270 ,1149 ,1148 ,1269 945, 1260, 1139 ,1138 ,1259, 1271 ,1150 ,1149 ,1270 946, 1261, 1140 ,1139 ,1260, 1272 ,1151 ,1150 ,1271 947, 1262, 1141 ,1140 ,1261, 1273 ,1152 ,1151 ,1272 948, 1263, 1142 ,1141 ,1262, 1274 ,1153 ,1152 ,1273 949, 1264, 1143 ,1142 ,1263, 1275 ,1154 ,1153 ,1274 950, 1265, 1144 ,1143 ,1264, 1276 ,1155 ,1154 ,1275 951, 1267, 1146 ,1145 ,1266, 1278 ,1157 ,1156 ,1277 952, 1268, 1147 ,1146 ,1267, 1279 ,1158 ,1157 ,1278 953, 1269, 1148 ,1147 ,1268, 1280 ,1159 ,1158 ,1279 954, 1270, 1149 ,1148 ,1269, 1281 ,1160 ,1159 ,1280 955, 1271, 1150 ,1149 ,1270, 1282 ,1161 ,1160 ,1281 956, 1272, 1151 ,1150 ,1271, 1283 ,1162 ,1161 ,1282 957, 1273, 1152 ,1151 ,1272, 1284 ,1163 ,1162 ,1283 958, 1274, 1153 ,1152 ,1273, 1285 ,1164 ,1163 ,1284 959, 1275, 1154 ,1153 ,1274, 1286 ,1165 ,1164 ,1285 960, 1276, 1155 ,1154 ,1275, 1287 ,1166 ,1165 ,1286 961, 1278, 1157 ,1156 ,1277, 1289 ,1168 ,1167 ,1288 962, 1279, 1158 ,1157 ,1278, 1290 ,1169 ,1168 ,1289 963, 1280, 1159 ,1158 ,1279, 1291 ,1170 ,1169 ,1290 964, 1281, 1160 ,1159 ,1280, 1292 ,1171 ,1170 ,1291 965, 1282, 1161 ,1160 ,1281, 1293 ,1172 ,1171 ,1292 966, 1283, 1162 ,1161 ,1282, 1294 ,1173 ,1172 ,1293 967, 1284, 1163 ,1162 ,1283, 1295 ,1174 ,1173 ,1294 968, 1285, 1164 ,1163 ,1284, 1296 ,1175 ,1174 ,1295 969, 1286, 1165 ,1164 ,1285, 1297 ,1176 ,1175 ,1296 970, 1287, 1166 ,1165 ,1286, 1298 ,1177 ,1176 ,1297 971, 1289, 1168 ,1167 ,1288, 1300 ,1179 ,1178 ,1299 972, 1290, 1169 ,1168 ,1289, 1301 ,1180 ,1179 ,1300 973, 1291, 1170 ,1169 ,1290, 1302 ,1181 ,1180 ,1301 974, 1292, 1171 ,1170 ,1291, 1303 ,1182 ,1181 ,1302 975, 1293, 1172 ,1171 ,1292, 1304 ,1183 ,1182 ,1303 976, 1294, 1173 ,1172 ,1293, 1305 ,1184 ,1183 ,1304 977, 1295, 1174 ,1173 ,1294, 1306 ,1185 ,1184 ,1305 978, 1296, 1175 ,1174 ,1295, 1307 ,1186 ,1185 ,1306 979, 1297, 1176 ,1175 ,1296, 1308 ,1187 ,1186 ,1307 980, 1298, 1177 ,1176 ,1297, 1309 ,1188 ,1187 ,1308 981, 1300, 1179 ,1178 ,1299, 1311 ,1190 ,1189 ,1310 982, 1301, 1180 ,1179 ,1300, 1312 ,1191 ,1190 ,1311 983, 1302, 1181 ,1180 ,1301, 1313 ,1192 ,1191 ,1312 984, 1303, 1182 ,1181 ,1302, 1314 ,1193 ,1192 ,1313 985, 1304, 1183 ,1182 ,1303, 1315 ,1194 ,1193 ,1314 986, 1305, 1184 ,1183 ,1304, 1316 ,1195 ,1194 ,1315 987, 1306, 1185 ,1184 ,1305, 1317 ,1196 ,1195 ,1316 988, 1307, 1186 ,1185 ,1306, 1318 ,1197 ,1196 ,1317 989, 1308, 1187 ,1186 ,1307, 1319 ,1198 ,1197 ,1318 990, 1309, 1188 ,1187 ,1308, 1320 ,1199 ,1198 ,1319 991, 1311, 1190 ,1189 ,1310, 1322 ,1201 ,1200 ,1321 992, 1312, 1191 ,1190 ,1311, 1323 ,1202 ,1201 ,1322 993, 1313, 1192 ,1191 ,1312, 1324 ,1203 ,1202 ,1323 994, 1314, 1193 ,1192 ,1313, 1325 ,1204 ,1203 ,1324 995, 1315, 1194 ,1193 ,1314, 1326 ,1205 ,1204 ,1325 996, 1316, 1195 ,1194 ,1315, 1327 ,1206 ,1205 ,1326 997, 1317, 1196 ,1195 ,1316, 1328 ,1207 ,1206 ,1327 998, 1318, 1197 ,1196 ,1317, 1329 ,1208 ,1207 ,1328 999, 1319, 1198 ,1197 ,1318, 1330 ,1209 ,1208 ,1329 1000, 1320, 1199 ,1198 ,1319, 1331 ,1210 ,1209 ,1330 *Elset, elset=GRAIN-1 505, 506, 515, 516, 604, 605, 606, 607, 608 609, 613, 614, 615, 616, 617, 618, 624, 625 626, 627, 635, 636, 702, 703, 704, 705, 706 707, 708, 709, 710, 712, 713, 714, 715, 716 717, 718, 719, 720, 722, 723, 724, 725, 726 727, 728, 729, 730, 734, 735, 736, 737, 738 739, 801, 802, 803, 804, 805, 806, 807, 808 809, 810, 811, 812, 813, 814, 815, 816, 817 818, 819, 820, 821, 822, 823, 824, 825, 826 827, 828, 829, 830, 833, 834, 835, 836, 837 838, 839, 840, 845, 846, 847, 848, 849, 901 902, 903, 904, 905, 906, 907, 908, 909, 910 911, 912, 913, 914, 915, 916, 917, 918, 919 920, 921, 922, 923, 924, 925, 926, 927, 928 929, 930, 931, 932, 933, 934, 935, 936, 937 938, 939, 940, 944, 945, 946, 947, 948, 949 950 *Elset, elset=GRAIN-2 35, 36, 37, 44, 45, 46, 47, 48, 54 55, 56, 57, 58, 59, 60, 64, 65, 66 67, 68, 69, 70, 74, 75, 76, 77, 78 79, 80, 83, 84, 85, 86, 87, 88, 89 90, 93, 94, 95, 96, 97, 98, 99, 100 135, 144, 145, 146, 147, 148, 154, 155, 156 157, 158, 159, 160, 164, 165, 166, 167, 168 169, 170, 174, 175, 176, 177, 178, 179, 180 184, 185, 186, 187, 188, 189, 190, 194, 195 196, 197, 198, 199, 200, 244, 245, 246, 247 254, 255, 256, 257, 258, 259, 264, 265, 266 267, 268, 269, 270, 274, 275, 276, 277, 278 279, 280, 284, 285, 286, 287, 288, 289, 290 295, 296, 297, 298, 299, 344, 345, 346, 354 355, 356, 357, 358, 359, 364, 365, 366, 367 368, 369, 375, 376, 377, 378, 379, 385, 386 387, 388, 397, 446, 456, 457, 458, 459, 466 467, 468, 476, 477 *Elset, elset=GRAIN-3 193, 293, 294, 374, 383, 384, 391, 392, 393 394, 395, 396, 443, 444, 445, 453, 454, 455 463, 464, 465, 473, 474, 475, 481, 482, 483 484, 485, 486, 491, 492, 493, 494, 495, 496 534, 535, 541, 542, 543, 544, 545, 546, 551 552, 553, 554, 555, 556, 557, 561, 562, 563 564, 565, 566, 567, 571, 572, 573, 574, 575 576, 577, 581, 582, 583, 584, 585, 586, 587 591, 592, 593, 594, 595, 596, 631, 632, 633 634, 641, 642, 643, 644, 645, 646, 647, 651 652, 653, 654, 655, 656, 657, 661, 662, 663 664, 665, 666, 667, 671, 672, 673, 674, 675 676, 677, 681, 682, 683, 684, 685, 686, 687 691, 692, 693, 694, 695, 696, 697, 731, 732 733, 741, 742, 743, 744, 745, 746, 747, 751 752, 753, 754, 755, 756, 757, 761, 762, 763 764, 765, 766, 767, 771, 772, 773, 774, 775 776, 777, 781, 782, 783, 784, 785, 786, 787 791, 792, 793, 794, 795, 796, 797, 831, 832 841, 842, 843, 844, 851, 852, 853, 854, 855 856, 857, 861, 862, 863, 864, 865, 866, 867 871, 872, 873, 874, 875, 876, 877, 881, 882 883, 884, 885, 886, 887, 891, 892, 893, 894 895, 896, 897, 941, 942, 943, 951, 952, 953 954, 955, 956, 957, 961, 962, 963, 964, 965 966, 967, 971, 972, 973, 974, 975, 976, 977 981, 982, 983, 984, 985, 986, 987, 991, 992 993, 994, 995, 996, 997 *Elset, elset=GRAIN-4 1, 2, 3, 4, 5, 11, 12, 13, 14 15, 21, 22, 23, 24, 25, 31, 32, 33 34, 42, 43, 101, 102, 103, 104, 105, 111 112, 113, 114, 115, 121, 122, 123, 124, 125 131, 132, 133, 134, 142, 143, 201, 202, 203 204, 205, 211, 212, 213, 214, 215, 221, 222 223, 224, 225, 231, 232, 233, 234, 301, 302 303, 304, 305, 311, 312, 313, 314, 315, 321 322, 323, 324, 331, 332, 333, 334, 401, 402 403, 404, 405, 411, 412, 413, 414, 415, 421 422, 423, 424, 431, 432, 433, 434, 501, 502 503, 504, 511, 512, 513, 514, 521, 522, 523 524, 531, 532, 533, 601, 602, 603, 611, 612 621, 622, 623, 701, 711, 721 *Elset, elset=GRAIN-5 6, 7, 8, 9, 10, 16, 17, 18, 19 20, 26, 27, 28, 29, 30, 38, 39, 40 49, 50, 106, 107, 108, 109, 110, 116, 117 118, 119, 120, 126, 127, 128, 129, 130, 136 137, 138, 139, 140, 149, 150, 206, 207, 208 209, 210, 216, 217, 218, 219, 220, 226, 227 228, 229, 230, 235, 236, 237, 238, 239, 240 248, 249, 250, 260, 306, 307, 308, 309, 310 316, 317, 318, 319, 320, 325, 326, 327, 328 329, 330, 335, 336, 337, 338, 339, 340, 347 348, 349, 350, 360, 406, 407, 408, 409, 410 416, 417, 418, 419, 420, 425, 426, 427, 428 429, 430, 435, 436, 437, 438, 439, 440, 447 448, 449, 450, 507, 508, 509, 510, 517, 518 519, 520, 525, 526, 527, 528, 529, 530, 536 537, 538, 539, 540, 547, 548, 549, 550, 610 619, 620, 628, 629, 630, 637, 638, 639, 640 648, 740 *Elset, elset=GRAIN-6 300, 370, 380, 389, 390, 398, 399, 400, 460 469, 470, 478, 479, 480, 487, 488, 489, 490 497, 498, 499, 500, 558, 559, 560, 568, 569 570, 578, 579, 580, 588, 589, 590, 597, 598 599, 600, 649, 650, 658, 659, 660, 668, 669 670, 678, 679, 680, 688, 689, 690, 698, 699 700, 748, 749, 750, 758, 759, 760, 768, 769 770, 778, 779, 780, 788, 789, 790, 798, 799 800, 850, 858, 859, 860, 868, 869, 870, 878 879, 880, 888, 889, 890, 898, 899, 900, 958 959, 960, 968, 969, 970, 978, 979, 980, 988 989, 990, 998, 999, 1000 *Elset, elset=GRAIN-7 41, 51, 52, 53, 61, 62, 63, 71, 72 73, 81, 82, 91, 92, 141, 151, 152, 153 161, 162, 163, 171, 172, 173, 181, 182, 183 191, 192, 241, 242, 243, 251, 252, 253, 261 262, 263, 271, 272, 273, 281, 282, 283, 291 292, 341, 342, 343, 351, 352, 353, 361, 362 363, 371, 372, 373, 381, 382, 441, 442, 451 452, 461, 462, 471, 472 *Elset, elset=Phase-1 1, 2, 3, 4, 5, 6, 7, 8, 9 10, 11, 12, 13, 14, 15, 16, 17, 18 19, 20, 21, 22, 23, 24, 25, 26, 27 28, 29, 30, 31, 32, 33, 34, 35, 36 37, 38, 39, 40, 41, 42, 43, 44, 45 46, 47, 48, 49, 50, 51, 52, 53, 54 55, 56, 57, 58, 59, 60, 61, 62, 63 64, 65, 66, 67, 68, 69, 70, 71, 72 73, 74, 75, 76, 77, 78, 79, 80, 81 82, 83, 84, 85, 86, 87, 88, 89, 90 91, 92, 93, 94, 95, 96, 97, 98, 99 100, 101, 102, 103, 104, 105, 106, 107, 108 109, 110, 111, 112, 113, 114, 115, 116, 117 118, 119, 120, 121, 122, 123, 124, 125, 126 127, 128, 129, 130, 131, 132, 133, 134, 135 136, 137, 138, 139, 140, 141, 142, 143, 144 145, 146, 147, 148, 149, 150, 151, 152, 153 154, 155, 156, 157, 158, 159, 160, 161, 162 163, 164, 165, 166, 167, 168, 169, 170, 171 172, 173, 174, 175, 176, 177, 178, 179, 180 181, 182, 183, 184, 185, 186, 187, 188, 189 190, 191, 192, 193, 194, 195, 196, 197, 198 199, 200, 201, 202, 203, 204, 205, 206, 207 208, 209, 210, 211, 212, 213, 214, 215, 216 217, 218, 219, 220, 221, 222, 223, 224, 225 226, 227, 228, 229, 230, 231, 232, 233, 234 235, 236, 237, 238, 239, 240, 241, 242, 243 244, 245, 246, 247, 248, 249, 250, 251, 252 253, 254, 255, 256, 257, 258, 259, 260, 261 262, 263, 264, 265, 266, 267, 268, 269, 270 271, 272, 273, 274, 275, 276, 277, 278, 279 280, 281, 282, 283, 284, 285, 286, 287, 288 289, 290, 291, 292, 293, 294, 295, 296, 297 298, 299, 300, 301, 302, 303, 304, 305, 306 307, 308, 309, 310, 311, 312, 313, 314, 315 316, 317, 318, 319, 320, 321, 322, 323, 324 325, 326, 327, 328, 329, 330, 331, 332, 333 334, 335, 336, 337, 338, 339, 340, 341, 342 343, 344, 345, 346, 347, 348, 349, 350, 351 352, 353, 354, 355, 356, 357, 358, 359, 360 361, 362, 363, 364, 365, 366, 367, 368, 369 370, 371, 372, 373, 374, 375, 376, 377, 378 379, 380, 381, 382, 383, 384, 385, 386, 387 388, 389, 390, 391, 392, 393, 394, 395, 396 397, 398, 399, 400, 401, 402, 403, 404, 405 406, 407, 408, 409, 410, 411, 412, 413, 414 415, 416, 417, 418, 419, 420, 421, 422, 423 424, 425, 426, 427, 428, 429, 430, 431, 432 433, 434, 435, 436, 437, 438, 439, 440, 441 442, 443, 444, 445, 446, 447, 448, 449, 450 451, 452, 453, 454, 455, 456, 457, 458, 459 460, 461, 462, 463, 464, 465, 466, 467, 468 469, 470, 471, 472, 473, 474, 475, 476, 477 478, 479, 480, 481, 482, 483, 484, 485, 486 487, 488, 489, 490, 491, 492, 493, 494, 495 496, 497, 498, 499, 500, 501, 502, 503, 504 505, 506, 507, 508, 509, 510, 511, 512, 513 514, 515, 516, 517, 518, 519, 520, 521, 522 523, 524, 525, 526, 527, 528, 529, 530, 531 532, 533, 534, 535, 536, 537, 538, 539, 540 541, 542, 543, 544, 545, 546, 547, 548, 549 550, 551, 552, 553, 554, 555, 556, 557, 558 559, 560, 561, 562, 563, 564, 565, 566, 567 568, 569, 570, 571, 572, 573, 574, 575, 576 577, 578, 579, 580, 581, 582, 583, 584, 585 586, 587, 588, 589, 590, 591, 592, 593, 594 595, 596, 597, 598, 599, 600, 601, 602, 603 604, 605, 606, 607, 608, 609, 610, 611, 612 613, 614, 615, 616, 617, 618, 619, 620, 621 622, 623, 624, 625, 626, 627, 628, 629, 630 631, 632, 633, 634, 635, 636, 637, 638, 639 640, 641, 642, 643, 644, 645, 646, 647, 648 649, 650, 651, 652, 653, 654, 655, 656, 657 658, 659, 660, 661, 662, 663, 664, 665, 666 667, 668, 669, 670, 671, 672, 673, 674, 675 676, 677, 678, 679, 680, 681, 682, 683, 684 685, 686, 687, 688, 689, 690, 691, 692, 693 694, 695, 696, 697, 698, 699, 700, 701, 702 703, 704, 705, 706, 707, 708, 709, 710, 711 712, 713, 714, 715, 716, 717, 718, 719, 720 721, 722, 723, 724, 725, 726, 727, 728, 729 730, 731, 732, 733, 734, 735, 736, 737, 738 739, 740, 741, 742, 743, 744, 745, 746, 747 748, 749, 750, 751, 752, 753, 754, 755, 756 757, 758, 759, 760, 761, 762, 763, 764, 765 766, 767, 768, 769, 770, 771, 772, 773, 774 775, 776, 777, 778, 779, 780, 781, 782, 783 784, 785, 786, 787, 788, 789, 790, 791, 792 793, 794, 795, 796, 797, 798, 799, 800, 801 802, 803, 804, 805, 806, 807, 808, 809, 810 811, 812, 813, 814, 815, 816, 817, 818, 819 820, 821, 822, 823, 824, 825, 826, 827, 828 829, 830, 831, 832, 833, 834, 835, 836, 837 838, 839, 840, 841, 842, 843, 844, 845, 846 847, 848, 849, 850, 851, 852, 853, 854, 855 856, 857, 858, 859, 860, 861, 862, 863, 864 865, 866, 867, 868, 869, 870, 871, 872, 873 874, 875, 876, 877, 878, 879, 880, 881, 882 883, 884, 885, 886, 887, 888, 889, 890, 891 892, 893, 894, 895, 896, 897, 898, 899, 900 901, 902, 903, 904, 905, 906, 907, 908, 909 910, 911, 912, 913, 914, 915, 916, 917, 918 919, 920, 921, 922, 923, 924, 925, 926, 927 928, 929, 930, 931, 932, 933, 934, 935, 936 937, 938, 939, 940, 941, 942, 943, 944, 945 946, 947, 948, 949, 950, 951, 952, 953, 954 955, 956, 957, 958, 959, 960, 961, 962, 963 964, 965, 966, 967, 968, 969, 970, 971, 972 973, 974, 975, 976, 977, 978, 979, 980, 981 982, 983, 984, 985, 986, 987, 988, 989, 990 991, 992, 993, 994, 995, 996, 997, 998, 999 1000 **Section: Section_Grain-1 *Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1 , **Section: Section_Grain-2 *Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2 , **Section: Section_Grain-3 *Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3 , **Section: Section_Grain-4 *Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4 , **Section: Section_Grain-5 *Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5 , **Section: Section_Grain-6 *Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6 , **Section: Section_Grain-7 *Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7 , *End Part ** **ASSEMBLY ** *Assembly, name=Assembly ** *Instance, name=DREAM3D-1, part=DREAM3D *NODE 1, 0.000000e+00, 0.000000e+00, 0.000000e+00 2, 1.000000e+00, 0.000000e+00, 0.000000e+00 3, 2.000000e+00, 0.000000e+00, 0.000000e+00 4, 3.000000e+00, 0.000000e+00, 0.000000e+00 5, 4.000000e+00, 0.000000e+00, 0.000000e+00 6, 5.000000e+00, 0.000000e+00, 0.000000e+00 7, 6.000000e+00, 0.000000e+00, 0.000000e+00 8, 7.000000e+00, 0.000000e+00, 0.000000e+00 9, 8.000000e+00, 0.000000e+00, 0.000000e+00 10, 9.000000e+00, 0.000000e+00, 0.000000e+00 11, 1.000000e+01, 0.000000e+00, 0.000000e+00 12, 0.000000e+00, 1.000000e+00, 0.000000e+00 13, 1.000000e+00, 1.000000e+00, 0.000000e+00 14, 2.000000e+00, 1.000000e+00, 0.000000e+00 15, 3.000000e+00, 1.000000e+00, 0.000000e+00 16, 4.000000e+00, 1.000000e+00, 0.000000e+00 17, 5.000000e+00, 1.000000e+00, 0.000000e+00 18, 6.000000e+00, 1.000000e+00, 0.000000e+00 19, 7.000000e+00, 1.000000e+00, 0.000000e+00 20, 8.000000e+00, 1.000000e+00, 0.000000e+00 21, 9.000000e+00, 1.000000e+00, 0.000000e+00 22, 1.000000e+01, 1.000000e+00, 0.000000e+00 23, 0.000000e+00, 2.000000e+00, 0.000000e+00 24, 1.000000e+00, 2.000000e+00, 0.000000e+00 25, 2.000000e+00, 2.000000e+00, 0.000000e+00 26, 3.000000e+00, 2.000000e+00, 0.000000e+00 27, 4.000000e+00, 2.000000e+00, 0.000000e+00 28, 5.000000e+00, 2.000000e+00, 0.000000e+00 29, 6.000000e+00, 2.000000e+00, 0.000000e+00 30, 7.000000e+00, 2.000000e+00, 0.000000e+00 31, 8.000000e+00, 2.000000e+00, 0.000000e+00 32, 9.000000e+00, 2.000000e+00, 0.000000e+00 33, 1.000000e+01, 2.000000e+00, 0.000000e+00 34, 0.000000e+00, 3.000000e+00, 0.000000e+00 35, 1.000000e+00, 3.000000e+00, 0.000000e+00 36, 2.000000e+00, 3.000000e+00, 0.000000e+00 37, 3.000000e+00, 3.000000e+00, 0.000000e+00 38, 4.000000e+00, 3.000000e+00, 0.000000e+00 39, 5.000000e+00, 3.000000e+00, 0.000000e+00 40, 6.000000e+00, 3.000000e+00, 0.000000e+00 41, 7.000000e+00, 3.000000e+00, 0.000000e+00 42, 8.000000e+00, 3.000000e+00, 0.000000e+00 43, 9.000000e+00, 3.000000e+00, 0.000000e+00 44, 1.000000e+01, 3.000000e+00, 0.000000e+00 45, 0.000000e+00, 4.000000e+00, 0.000000e+00 46, 1.000000e+00, 4.000000e+00, 0.000000e+00 47, 2.000000e+00, 4.000000e+00, 0.000000e+00 48, 3.000000e+00, 4.000000e+00, 0.000000e+00 49, 4.000000e+00, 4.000000e+00, 0.000000e+00 50, 5.000000e+00, 4.000000e+00, 0.000000e+00 51, 6.000000e+00, 4.000000e+00, 0.000000e+00 52, 7.000000e+00, 4.000000e+00, 0.000000e+00 53, 8.000000e+00, 4.000000e+00, 0.000000e+00 54, 9.000000e+00, 4.000000e+00, 0.000000e+00 55, 1.000000e+01, 4.000000e+00, 0.000000e+00 56, 0.000000e+00, 5.000000e+00, 0.000000e+00 57, 1.000000e+00, 5.000000e+00, 0.000000e+00 58, 2.000000e+00, 5.000000e+00, 0.000000e+00 59, 3.000000e+00, 5.000000e+00, 0.000000e+00 60, 4.000000e+00, 5.000000e+00, 0.000000e+00 61, 5.000000e+00, 5.000000e+00, 0.000000e+00 62, 6.000000e+00, 5.000000e+00, 0.000000e+00 63, 7.000000e+00, 5.000000e+00, 0.000000e+00 64, 8.000000e+00, 5.000000e+00, 0.000000e+00 65, 9.000000e+00, 5.000000e+00, 0.000000e+00 66, 1.000000e+01, 5.000000e+00, 0.000000e+00 67, 0.000000e+00, 6.000000e+00, 0.000000e+00 68, 1.000000e+00, 6.000000e+00, 0.000000e+00 69, 2.000000e+00, 6.000000e+00, 0.000000e+00 70, 3.000000e+00, 6.000000e+00, 0.000000e+00 71, 4.000000e+00, 6.000000e+00, 0.000000e+00 72, 5.000000e+00, 6.000000e+00, 0.000000e+00 73, 6.000000e+00, 6.000000e+00, 0.000000e+00 74, 7.000000e+00, 6.000000e+00, 0.000000e+00 75, 8.000000e+00, 6.000000e+00, 0.000000e+00 76, 9.000000e+00, 6.000000e+00, 0.000000e+00 77, 1.000000e+01, 6.000000e+00, 0.000000e+00 78, 0.000000e+00, 7.000000e+00, 0.000000e+00 79, 1.000000e+00, 7.000000e+00, 0.000000e+00 80, 2.000000e+00, 7.000000e+00, 0.000000e+00 81, 3.000000e+00, 7.000000e+00, 0.000000e+00 82, 4.000000e+00, 7.000000e+00, 0.000000e+00 83, 5.000000e+00, 7.000000e+00, 0.000000e+00 84, 6.000000e+00, 7.000000e+00, 0.000000e+00 85, 7.000000e+00, 7.000000e+00, 0.000000e+00 86, 8.000000e+00, 7.000000e+00, 0.000000e+00 87, 9.000000e+00, 7.000000e+00, 0.000000e+00 88, 1.000000e+01, 7.000000e+00, 0.000000e+00 89, 0.000000e+00, 8.000000e+00, 0.000000e+00 90, 1.000000e+00, 8.000000e+00, 0.000000e+00 91, 2.000000e+00, 8.000000e+00, 0.000000e+00 92, 3.000000e+00, 8.000000e+00, 0.000000e+00 93, 4.000000e+00, 8.000000e+00, 0.000000e+00 94, 5.000000e+00, 8.000000e+00, 0.000000e+00 95, 6.000000e+00, 8.000000e+00, 0.000000e+00 96, 7.000000e+00, 8.000000e+00, 0.000000e+00 97, 8.000000e+00, 8.000000e+00, 0.000000e+00 98, 9.000000e+00, 8.000000e+00, 0.000000e+00 99, 1.000000e+01, 8.000000e+00, 0.000000e+00 100, 0.000000e+00, 9.000000e+00, 0.000000e+00 101, 1.000000e+00, 9.000000e+00, 0.000000e+00 102, 2.000000e+00, 9.000000e+00, 0.000000e+00 103, 3.000000e+00, 9.000000e+00, 0.000000e+00 104, 4.000000e+00, 9.000000e+00, 0.000000e+00 105, 5.000000e+00, 9.000000e+00, 0.000000e+00 106, 6.000000e+00, 9.000000e+00, 0.000000e+00 107, 7.000000e+00, 9.000000e+00, 0.000000e+00 108, 8.000000e+00, 9.000000e+00, 0.000000e+00 109, 9.000000e+00, 9.000000e+00, 0.000000e+00 110, 1.000000e+01, 9.000000e+00, 0.000000e+00 111, 0.000000e+00, 1.000000e+01, 0.000000e+00 112, 1.000000e+00, 1.000000e+01, 0.000000e+00 113, 2.000000e+00, 1.000000e+01, 0.000000e+00 114, 3.000000e+00, 1.000000e+01, 0.000000e+00 115, 4.000000e+00, 1.000000e+01, 0.000000e+00 116, 5.000000e+00, 1.000000e+01, 0.000000e+00 117, 6.000000e+00, 1.000000e+01, 0.000000e+00 118, 7.000000e+00, 1.000000e+01, 0.000000e+00 119, 8.000000e+00, 1.000000e+01, 0.000000e+00 120, 9.000000e+00, 1.000000e+01, 0.000000e+00 121, 1.000000e+01, 1.000000e+01, 0.000000e+00 122, 0.000000e+00, 0.000000e+00, 1.000000e+00 123, 1.000000e+00, 0.000000e+00, 1.000000e+00 124, 2.000000e+00, 0.000000e+00, 1.000000e+00 125, 3.000000e+00, 0.000000e+00, 1.000000e+00 126, 4.000000e+00, 0.000000e+00, 1.000000e+00 127, 5.000000e+00, 0.000000e+00, 1.000000e+00 128, 6.000000e+00, 0.000000e+00, 1.000000e+00 129, 7.000000e+00, 0.000000e+00, 1.000000e+00 130, 8.000000e+00, 0.000000e+00, 1.000000e+00 131, 9.000000e+00, 0.000000e+00, 1.000000e+00 132, 1.000000e+01, 0.000000e+00, 1.000000e+00 133, 0.000000e+00, 1.000000e+00, 1.000000e+00 134, 1.000000e+00, 1.000000e+00, 1.000000e+00 135, 2.000000e+00, 1.000000e+00, 1.000000e+00 136, 3.000000e+00, 1.000000e+00, 1.000000e+00 137, 4.000000e+00, 1.000000e+00, 1.000000e+00 138, 5.000000e+00, 1.000000e+00, 1.000000e+00 139, 6.000000e+00, 1.000000e+00, 1.000000e+00 140, 7.000000e+00, 1.000000e+00, 1.000000e+00 141, 8.000000e+00, 1.000000e+00, 1.000000e+00 142, 9.000000e+00, 1.000000e+00, 1.000000e+00 143, 1.000000e+01, 1.000000e+00, 1.000000e+00 144, 0.000000e+00, 2.000000e+00, 1.000000e+00 145, 1.000000e+00, 2.000000e+00, 1.000000e+00 146, 2.000000e+00, 2.000000e+00, 1.000000e+00 147, 3.000000e+00, 2.000000e+00, 1.000000e+00 148, 4.000000e+00, 2.000000e+00, 1.000000e+00 149, 5.000000e+00, 2.000000e+00, 1.000000e+00 150, 6.000000e+00, 2.000000e+00, 1.000000e+00 151, 7.000000e+00, 2.000000e+00, 1.000000e+00 152, 8.000000e+00, 2.000000e+00, 1.000000e+00 153, 9.000000e+00, 2.000000e+00, 1.000000e+00 154, 1.000000e+01, 2.000000e+00, 1.000000e+00 155, 0.000000e+00, 3.000000e+00, 1.000000e+00 156, 1.000000e+00, 3.000000e+00, 1.000000e+00 157, 2.000000e+00, 3.000000e+00, 1.000000e+00 158, 3.000000e+00, 3.000000e+00, 1.000000e+00 159, 4.000000e+00, 3.000000e+00, 1.000000e+00 160, 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4.000000e+00, 6.000000e+00, 1.000000e+01 1282, 5.000000e+00, 6.000000e+00, 1.000000e+01 1283, 6.000000e+00, 6.000000e+00, 1.000000e+01 1284, 7.000000e+00, 6.000000e+00, 1.000000e+01 1285, 8.000000e+00, 6.000000e+00, 1.000000e+01 1286, 9.000000e+00, 6.000000e+00, 1.000000e+01 1287, 1.000000e+01, 6.000000e+00, 1.000000e+01 1288, 0.000000e+00, 7.000000e+00, 1.000000e+01 1289, 1.000000e+00, 7.000000e+00, 1.000000e+01 1290, 2.000000e+00, 7.000000e+00, 1.000000e+01 1291, 3.000000e+00, 7.000000e+00, 1.000000e+01 1292, 4.000000e+00, 7.000000e+00, 1.000000e+01 1293, 5.000000e+00, 7.000000e+00, 1.000000e+01 1294, 6.000000e+00, 7.000000e+00, 1.000000e+01 1295, 7.000000e+00, 7.000000e+00, 1.000000e+01 1296, 8.000000e+00, 7.000000e+00, 1.000000e+01 1297, 9.000000e+00, 7.000000e+00, 1.000000e+01 1298, 1.000000e+01, 7.000000e+00, 1.000000e+01 1299, 0.000000e+00, 8.000000e+00, 1.000000e+01 1300, 1.000000e+00, 8.000000e+00, 1.000000e+01 1301, 2.000000e+00, 8.000000e+00, 1.000000e+01 1302, 3.000000e+00, 8.000000e+00, 1.000000e+01 1303, 4.000000e+00, 8.000000e+00, 1.000000e+01 1304, 5.000000e+00, 8.000000e+00, 1.000000e+01 1305, 6.000000e+00, 8.000000e+00, 1.000000e+01 1306, 7.000000e+00, 8.000000e+00, 1.000000e+01 1307, 8.000000e+00, 8.000000e+00, 1.000000e+01 1308, 9.000000e+00, 8.000000e+00, 1.000000e+01 1309, 1.000000e+01, 8.000000e+00, 1.000000e+01 1310, 0.000000e+00, 9.000000e+00, 1.000000e+01 1311, 1.000000e+00, 9.000000e+00, 1.000000e+01 1312, 2.000000e+00, 9.000000e+00, 1.000000e+01 1313, 3.000000e+00, 9.000000e+00, 1.000000e+01 1314, 4.000000e+00, 9.000000e+00, 1.000000e+01 1315, 5.000000e+00, 9.000000e+00, 1.000000e+01 1316, 6.000000e+00, 9.000000e+00, 1.000000e+01 1317, 7.000000e+00, 9.000000e+00, 1.000000e+01 1318, 8.000000e+00, 9.000000e+00, 1.000000e+01 1319, 9.000000e+00, 9.000000e+00, 1.000000e+01 1320, 1.000000e+01, 9.000000e+00, 1.000000e+01 1321, 0.000000e+00, 1.000000e+01, 1.000000e+01 1322, 1.000000e+00, 1.000000e+01, 1.000000e+01 1323, 2.000000e+00, 1.000000e+01, 1.000000e+01 1324, 3.000000e+00, 1.000000e+01, 1.000000e+01 1325, 4.000000e+00, 1.000000e+01, 1.000000e+01 1326, 5.000000e+00, 1.000000e+01, 1.000000e+01 1327, 6.000000e+00, 1.000000e+01, 1.000000e+01 1328, 7.000000e+00, 1.000000e+01, 1.000000e+01 1329, 8.000000e+00, 1.000000e+01, 1.000000e+01 1330, 9.000000e+00, 1.000000e+01, 1.000000e+01 1331, 1.000000e+01, 1.000000e+01, 1.000000e+01 *Element, type=C3D8 1, 123, 2, 1, 122, 134, 13, 12, 133 2, 124, 3, 2, 123, 135, 14, 13, 134 3, 125, 4, 3, 124, 136, 15, 14, 135 4, 126, 5, 4, 125, 137, 16, 15, 136 5, 127, 6, 5, 126, 138, 17, 16, 137 6, 128, 7, 6, 127, 139, 18, 17, 138 7, 129, 8, 7, 128, 140, 19, 18, 139 8, 130, 9, 8, 129, 141, 20, 19, 140 9, 131, 10, 9, 130, 142, 21, 20, 141 10, 132, 11, 10, 131, 143, 22, 21, 142 11, 134, 13, 12, 133, 145, 24, 23, 144 12, 135, 14, 13, 134, 146, 25, 24, 145 13, 136, 15, 14, 135, 147, 26, 25, 146 14, 137, 16, 15, 136, 148, 27, 26, 147 15, 138, 17, 16, 137, 149, 28, 27, 148 16, 139, 18, 17, 138, 150, 29, 28, 149 17, 140, 19, 18, 139, 151, 30, 29, 150 18, 141, 20, 19, 140, 152, 31, 30, 151 19, 142, 21, 20, 141, 153, 32, 31, 152 20, 143, 22, 21, 142, 154, 33, 32, 153 21, 145, 24, 23, 144, 156, 35, 34, 155 22, 146, 25, 24, 145, 157, 36, 35, 156 23, 147, 26, 25, 146, 158, 37, 36, 157 24, 148, 27, 26, 147, 159, 38, 37, 158 25, 149, 28, 27, 148, 160, 39, 38, 159 26, 150, 29, 28, 149, 161, 40, 39, 160 27, 151, 30, 29, 150, 162, 41, 40, 161 28, 152, 31, 30, 151, 163, 42, 41, 162 29, 153, 32, 31, 152, 164, 43, 42, 163 30, 154, 33, 32, 153, 165, 44, 43, 164 31, 156, 35, 34, 155, 167, 46, 45, 166 32, 157, 36, 35, 156, 168, 47, 46, 167 33, 158, 37, 36, 157, 169, 48, 47, 168 34, 159, 38, 37, 158, 170, 49, 48, 169 35, 160, 39, 38, 159, 171, 50, 49, 170 36, 161, 40, 39, 160, 172, 51, 50, 171 37, 162, 41, 40, 161, 173, 52, 51, 172 38, 163, 42, 41, 162, 174, 53, 52, 173 39, 164, 43, 42, 163, 175, 54, 53, 174 40, 165, 44, 43, 164, 176, 55, 54, 175 41, 167, 46, 45, 166, 178, 57, 56, 177 42, 168, 47, 46, 167, 179, 58, 57, 178 43, 169, 48, 47, 168, 180, 59, 58, 179 44, 170, 49, 48, 169, 181, 60, 59, 180 45, 171, 50, 49, 170, 182, 61, 60, 181 46, 172, 51, 50, 171, 183, 62, 61, 182 47, 173, 52, 51, 172, 184, 63, 62, 183 48, 174, 53, 52, 173, 185, 64, 63, 184 49, 175, 54, 53, 174, 186, 65, 64, 185 50, 176, 55, 54, 175, 187, 66, 65, 186 51, 178, 57, 56, 177, 189, 68, 67, 188 52, 179, 58, 57, 178, 190, 69, 68, 189 53, 180, 59, 58, 179, 191, 70, 69, 190 54, 181, 60, 59, 180, 192, 71, 70, 191 55, 182, 61, 60, 181, 193, 72, 71, 192 56, 183, 62, 61, 182, 194, 73, 72, 193 57, 184, 63, 62, 183, 195, 74, 73, 194 58, 185, 64, 63, 184, 196, 75, 74, 195 59, 186, 65, 64, 185, 197, 76, 75, 196 60, 187, 66, 65, 186, 198, 77, 76, 197 61, 189, 68, 67, 188, 200, 79, 78, 199 62, 190, 69, 68, 189, 201, 80, 79, 200 63, 191, 70, 69, 190, 202, 81, 80, 201 64, 192, 71, 70, 191, 203, 82, 81, 202 65, 193, 72, 71, 192, 204, 83, 82, 203 66, 194, 73, 72, 193, 205, 84, 83, 204 67, 195, 74, 73, 194, 206, 85, 84, 205 68, 196, 75, 74, 195, 207, 86, 85, 206 69, 197, 76, 75, 196, 208, 87, 86, 207 70, 198, 77, 76, 197, 209, 88, 87, 208 71, 200, 79, 78, 199, 211, 90, 89, 210 72, 201, 80, 79, 200, 212, 91, 90, 211 73, 202, 81, 80, 201, 213, 92, 91, 212 74, 203, 82, 81, 202, 214, 93, 92, 213 75, 204, 83, 82, 203, 215, 94, 93, 214 76, 205, 84, 83, 204, 216, 95, 94, 215 77, 206, 85, 84, 205, 217, 96, 95, 216 78, 207, 86, 85, 206, 218, 97, 96, 217 79, 208, 87, 86, 207, 219, 98, 97, 218 80, 209, 88, 87, 208, 220, 99, 98, 219 81, 211, 90, 89, 210, 222, 101, 100, 221 82, 212, 91, 90, 211, 223, 102, 101, 222 83, 213, 92, 91, 212, 224, 103, 102, 223 84, 214, 93, 92, 213, 225, 104, 103, 224 85, 215, 94, 93, 214, 226, 105, 104, 225 86, 216, 95, 94, 215, 227, 106, 105, 226 87, 217, 96, 95, 216, 228, 107, 106, 227 88, 218, 97, 96, 217, 229, 108, 107, 228 89, 219, 98, 97, 218, 230, 109, 108, 229 90, 220, 99, 98, 219, 231, 110, 109, 230 91, 222, 101, 100, 221, 233, 112, 111, 232 92, 223, 102, 101, 222, 234, 113, 112, 233 93, 224, 103, 102, 223, 235, 114, 113, 234 94, 225, 104, 103, 224, 236, 115, 114, 235 95, 226, 105, 104, 225, 237, 116, 115, 236 96, 227, 106, 105, 226, 238, 117, 116, 237 97, 228, 107, 106, 227, 239, 118, 117, 238 98, 229, 108, 107, 228, 240, 119, 118, 239 99, 230, 109, 108, 229, 241, 120, 119, 240 100, 231, 110, 109, 230, 242, 121, 120, 241 101, 244, 123, 122, 243, 255, 134, 133, 254 102, 245, 124, 123, 244, 256, 135, 134, 255 103, 246, 125, 124, 245, 257, 136, 135, 256 104, 247, 126, 125, 246, 258, 137, 136, 257 105, 248, 127, 126, 247, 259, 138, 137, 258 106, 249, 128, 127, 248, 260, 139, 138, 259 107, 250, 129, 128, 249, 261, 140, 139, 260 108, 251, 130, 129, 250, 262, 141, 140, 261 109, 252, 131, 130, 251, 263, 142, 141, 262 110, 253, 132, 131, 252, 264, 143, 142, 263 111, 255, 134, 133, 254, 266, 145, 144, 265 112, 256, 135, 134, 255, 267, 146, 145, 266 113, 257, 136, 135, 256, 268, 147, 146, 267 114, 258, 137, 136, 257, 269, 148, 147, 268 115, 259, 138, 137, 258, 270, 149, 148, 269 116, 260, 139, 138, 259, 271, 150, 149, 270 117, 261, 140, 139, 260, 272, 151, 150, 271 118, 262, 141, 140, 261, 273, 152, 151, 272 119, 263, 142, 141, 262, 274, 153, 152, 273 120, 264, 143, 142, 263, 275, 154, 153, 274 121, 266, 145, 144, 265, 277, 156, 155, 276 122, 267, 146, 145, 266, 278, 157, 156, 277 123, 268, 147, 146, 267, 279, 158, 157, 278 124, 269, 148, 147, 268, 280, 159, 158, 279 125, 270, 149, 148, 269, 281, 160, 159, 280 126, 271, 150, 149, 270, 282, 161, 160, 281 127, 272, 151, 150, 271, 283, 162, 161, 282 128, 273, 152, 151, 272, 284, 163, 162, 283 129, 274, 153, 152, 273, 285, 164, 163, 284 130, 275, 154, 153, 274, 286, 165, 164, 285 131, 277, 156, 155, 276, 288, 167, 166, 287 132, 278, 157, 156, 277, 289, 168, 167, 288 133, 279, 158, 157, 278, 290, 169, 168, 289 134, 280, 159, 158, 279, 291, 170, 169, 290 135, 281, 160, 159, 280, 292, 171, 170, 291 136, 282, 161, 160, 281, 293, 172, 171, 292 137, 283, 162, 161, 282, 294, 173, 172, 293 138, 284, 163, 162, 283, 295, 174, 173, 294 139, 285, 164, 163, 284, 296, 175, 174, 295 140, 286, 165, 164, 285, 297, 176, 175, 296 141, 288, 167, 166, 287, 299, 178, 177, 298 142, 289, 168, 167, 288, 300, 179, 178, 299 143, 290, 169, 168, 289, 301, 180, 179, 300 144, 291, 170, 169, 290, 302, 181, 180, 301 145, 292, 171, 170, 291, 303, 182, 181, 302 146, 293, 172, 171, 292, 304, 183, 182, 303 147, 294, 173, 172, 293, 305, 184, 183, 304 148, 295, 174, 173, 294, 306, 185, 184, 305 149, 296, 175, 174, 295, 307, 186, 185, 306 150, 297, 176, 175, 296, 308, 187, 186, 307 151, 299, 178, 177, 298, 310, 189, 188, 309 152, 300, 179, 178, 299, 311, 190, 189, 310 153, 301, 180, 179, 300, 312, 191, 190, 311 154, 302, 181, 180, 301, 313, 192, 191, 312 155, 303, 182, 181, 302, 314, 193, 192, 313 156, 304, 183, 182, 303, 315, 194, 193, 314 157, 305, 184, 183, 304, 316, 195, 194, 315 158, 306, 185, 184, 305, 317, 196, 195, 316 159, 307, 186, 185, 306, 318, 197, 196, 317 160, 308, 187, 186, 307, 319, 198, 197, 318 161, 310, 189, 188, 309, 321, 200, 199, 320 162, 311, 190, 189, 310, 322, 201, 200, 321 163, 312, 191, 190, 311, 323, 202, 201, 322 164, 313, 192, 191, 312, 324, 203, 202, 323 165, 314, 193, 192, 313, 325, 204, 203, 324 166, 315, 194, 193, 314, 326, 205, 204, 325 167, 316, 195, 194, 315, 327, 206, 205, 326 168, 317, 196, 195, 316, 328, 207, 206, 327 169, 318, 197, 196, 317, 329, 208, 207, 328 170, 319, 198, 197, 318, 330, 209, 208, 329 171, 321, 200, 199, 320, 332, 211, 210, 331 172, 322, 201, 200, 321, 333, 212, 211, 332 173, 323, 202, 201, 322, 334, 213, 212, 333 174, 324, 203, 202, 323, 335, 214, 213, 334 175, 325, 204, 203, 324, 336, 215, 214, 335 176, 326, 205, 204, 325, 337, 216, 215, 336 177, 327, 206, 205, 326, 338, 217, 216, 337 178, 328, 207, 206, 327, 339, 218, 217, 338 179, 329, 208, 207, 328, 340, 219, 218, 339 180, 330, 209, 208, 329, 341, 220, 219, 340 181, 332, 211, 210, 331, 343, 222, 221, 342 182, 333, 212, 211, 332, 344, 223, 222, 343 183, 334, 213, 212, 333, 345, 224, 223, 344 184, 335, 214, 213, 334, 346, 225, 224, 345 185, 336, 215, 214, 335, 347, 226, 225, 346 186, 337, 216, 215, 336, 348, 227, 226, 347 187, 338, 217, 216, 337, 349, 228, 227, 348 188, 339, 218, 217, 338, 350, 229, 228, 349 189, 340, 219, 218, 339, 351, 230, 229, 350 190, 341, 220, 219, 340, 352, 231, 230, 351 191, 343, 222, 221, 342, 354, 233, 232, 353 192, 344, 223, 222, 343, 355, 234, 233, 354 193, 345, 224, 223, 344, 356, 235, 234, 355 194, 346, 225, 224, 345, 357, 236, 235, 356 195, 347, 226, 225, 346, 358, 237, 236, 357 196, 348, 227, 226, 347, 359, 238, 237, 358 197, 349, 228, 227, 348, 360, 239, 238, 359 198, 350, 229, 228, 349, 361, 240, 239, 360 199, 351, 230, 229, 350, 362, 241, 240, 361 200, 352, 231, 230, 351, 363, 242, 241, 362 201, 365, 244, 243, 364, 376, 255, 254, 375 202, 366, 245, 244, 365, 377, 256, 255, 376 203, 367, 246, 245, 366, 378, 257, 256, 377 204, 368, 247, 246, 367, 379, 258, 257, 378 205, 369, 248, 247, 368, 380, 259, 258, 379 206, 370, 249, 248, 369, 381, 260, 259, 380 207, 371, 250, 249, 370, 382, 261, 260, 381 208, 372, 251, 250, 371, 383, 262, 261, 382 209, 373, 252, 251, 372, 384, 263, 262, 383 210, 374, 253, 252, 373, 385, 264, 263, 384 211, 376, 255, 254, 375, 387, 266, 265, 386 212, 377, 256, 255, 376, 388, 267, 266, 387 213, 378, 257, 256, 377, 389, 268, 267, 388 214, 379, 258, 257, 378, 390, 269, 268, 389 215, 380, 259, 258, 379, 391, 270, 269, 390 216, 381, 260, 259, 380, 392, 271, 270, 391 217, 382, 261, 260, 381, 393, 272, 271, 392 218, 383, 262, 261, 382, 394, 273, 272, 393 219, 384, 263, 262, 383, 395, 274, 273, 394 220, 385, 264, 263, 384, 396, 275, 274, 395 221, 387, 266, 265, 386, 398, 277, 276, 397 222, 388, 267, 266, 387, 399, 278, 277, 398 223, 389, 268, 267, 388, 400, 279, 278, 399 224, 390, 269, 268, 389, 401, 280, 279, 400 225, 391, 270, 269, 390, 402, 281, 280, 401 226, 392, 271, 270, 391, 403, 282, 281, 402 227, 393, 272, 271, 392, 404, 283, 282, 403 228, 394, 273, 272, 393, 405, 284, 283, 404 229, 395, 274, 273, 394, 406, 285, 284, 405 230, 396, 275, 274, 395, 407, 286, 285, 406 231, 398, 277, 276, 397, 409, 288, 287, 408 232, 399, 278, 277, 398, 410, 289, 288, 409 233, 400, 279, 278, 399, 411, 290, 289, 410 234, 401, 280, 279, 400, 412, 291, 290, 411 235, 402, 281, 280, 401, 413, 292, 291, 412 236, 403, 282, 281, 402, 414, 293, 292, 413 237, 404, 283, 282, 403, 415, 294, 293, 414 238, 405, 284, 283, 404, 416, 295, 294, 415 239, 406, 285, 284, 405, 417, 296, 295, 416 240, 407, 286, 285, 406, 418, 297, 296, 417 241, 409, 288, 287, 408, 420, 299, 298, 419 242, 410, 289, 288, 409, 421, 300, 299, 420 243, 411, 290, 289, 410, 422, 301, 300, 421 244, 412, 291, 290, 411, 423, 302, 301, 422 245, 413, 292, 291, 412, 424, 303, 302, 423 246, 414, 293, 292, 413, 425, 304, 303, 424 247, 415, 294, 293, 414, 426, 305, 304, 425 248, 416, 295, 294, 415, 427, 306, 305, 426 249, 417, 296, 295, 416, 428, 307, 306, 427 250, 418, 297, 296, 417, 429, 308, 307, 428 251, 420, 299, 298, 419, 431, 310, 309, 430 252, 421, 300, 299, 420, 432, 311, 310, 431 253, 422, 301, 300, 421, 433, 312, 311, 432 254, 423, 302, 301, 422, 434, 313, 312, 433 255, 424, 303, 302, 423, 435, 314, 313, 434 256, 425, 304, 303, 424, 436, 315, 314, 435 257, 426, 305, 304, 425, 437, 316, 315, 436 258, 427, 306, 305, 426, 438, 317, 316, 437 259, 428, 307, 306, 427, 439, 318, 317, 438 260, 429, 308, 307, 428, 440, 319, 318, 439 261, 431, 310, 309, 430, 442, 321, 320, 441 262, 432, 311, 310, 431, 443, 322, 321, 442 263, 433, 312, 311, 432, 444, 323, 322, 443 264, 434, 313, 312, 433, 445, 324, 323, 444 265, 435, 314, 313, 434, 446, 325, 324, 445 266, 436, 315, 314, 435, 447, 326, 325, 446 267, 437, 316, 315, 436, 448, 327, 326, 447 268, 438, 317, 316, 437, 449, 328, 327, 448 269, 439, 318, 317, 438, 450, 329, 328, 449 270, 440, 319, 318, 439, 451, 330, 329, 450 271, 442, 321, 320, 441, 453, 332, 331, 452 272, 443, 322, 321, 442, 454, 333, 332, 453 273, 444, 323, 322, 443, 455, 334, 333, 454 274, 445, 324, 323, 444, 456, 335, 334, 455 275, 446, 325, 324, 445, 457, 336, 335, 456 276, 447, 326, 325, 446, 458, 337, 336, 457 277, 448, 327, 326, 447, 459, 338, 337, 458 278, 449, 328, 327, 448, 460, 339, 338, 459 279, 450, 329, 328, 449, 461, 340, 339, 460 280, 451, 330, 329, 450, 462, 341, 340, 461 281, 453, 332, 331, 452, 464, 343, 342, 463 282, 454, 333, 332, 453, 465, 344, 343, 464 283, 455, 334, 333, 454, 466, 345, 344, 465 284, 456, 335, 334, 455, 467, 346, 345, 466 285, 457, 336, 335, 456, 468, 347, 346, 467 286, 458, 337, 336, 457, 469, 348, 347, 468 287, 459, 338, 337, 458, 470, 349, 348, 469 288, 460, 339, 338, 459, 471, 350, 349, 470 289, 461, 340, 339, 460, 472, 351, 350, 471 290, 462, 341, 340, 461, 473, 352, 351, 472 291, 464, 343, 342, 463, 475, 354, 353, 474 292, 465, 344, 343, 464, 476, 355, 354, 475 293, 466, 345, 344, 465, 477, 356, 355, 476 294, 467, 346, 345, 466, 478, 357, 356, 477 295, 468, 347, 346, 467, 479, 358, 357, 478 296, 469, 348, 347, 468, 480, 359, 358, 479 297, 470, 349, 348, 469, 481, 360, 359, 480 298, 471, 350, 349, 470, 482, 361, 360, 481 299, 472, 351, 350, 471, 483, 362, 361, 482 300, 473, 352, 351, 472, 484, 363, 362, 483 301, 486, 365, 364, 485, 497, 376, 375, 496 302, 487, 366, 365, 486, 498, 377, 376, 497 303, 488, 367, 366, 487, 499, 378, 377, 498 304, 489, 368, 367, 488, 500, 379, 378, 499 305, 490, 369, 368, 489, 501, 380, 379, 500 306, 491, 370, 369, 490, 502, 381, 380, 501 307, 492, 371, 370, 491, 503, 382, 381, 502 308, 493, 372, 371, 492, 504, 383, 382, 503 309, 494, 373, 372, 493, 505, 384, 383, 504 310, 495, 374, 373, 494, 506, 385, 384, 505 311, 497, 376, 375, 496, 508, 387, 386, 507 312, 498, 377, 376, 497, 509, 388, 387, 508 313, 499, 378, 377, 498, 510, 389, 388, 509 314, 500, 379, 378, 499, 511, 390, 389, 510 315, 501, 380, 379, 500, 512, 391, 390, 511 316, 502, 381, 380, 501, 513, 392, 391, 512 317, 503, 382, 381, 502, 514, 393, 392, 513 318, 504, 383, 382, 503, 515, 394, 393, 514 319, 505, 384, 383, 504, 516, 395, 394, 515 320, 506, 385, 384, 505, 517, 396, 395, 516 321, 508, 387, 386, 507, 519, 398, 397, 518 322, 509, 388, 387, 508, 520, 399, 398, 519 323, 510, 389, 388, 509, 521, 400, 399, 520 324, 511, 390, 389, 510, 522, 401, 400, 521 325, 512, 391, 390, 511, 523, 402, 401, 522 326, 513, 392, 391, 512, 524, 403, 402, 523 327, 514, 393, 392, 513, 525, 404, 403, 524 328, 515, 394, 393, 514, 526, 405, 404, 525 329, 516, 395, 394, 515, 527, 406, 405, 526 330, 517, 396, 395, 516, 528, 407, 406, 527 331, 519, 398, 397, 518, 530, 409, 408, 529 332, 520, 399, 398, 519, 531, 410, 409, 530 333, 521, 400, 399, 520, 532, 411, 410, 531 334, 522, 401, 400, 521, 533, 412, 411, 532 335, 523, 402, 401, 522, 534, 413, 412, 533 336, 524, 403, 402, 523, 535, 414, 413, 534 337, 525, 404, 403, 524, 536, 415, 414, 535 338, 526, 405, 404, 525, 537, 416, 415, 536 339, 527, 406, 405, 526, 538, 417, 416, 537 340, 528, 407, 406, 527, 539, 418, 417, 538 341, 530, 409, 408, 529, 541, 420, 419, 540 342, 531, 410, 409, 530, 542, 421, 420, 541 343, 532, 411, 410, 531, 543, 422, 421, 542 344, 533, 412, 411, 532, 544, 423, 422, 543 345, 534, 413, 412, 533, 545, 424, 423, 544 346, 535, 414, 413, 534, 546, 425, 424, 545 347, 536, 415, 414, 535, 547, 426, 425, 546 348, 537, 416, 415, 536, 548, 427, 426, 547 349, 538, 417, 416, 537, 549, 428, 427, 548 350, 539, 418, 417, 538, 550, 429, 428, 549 351, 541, 420, 419, 540, 552, 431, 430, 551 352, 542, 421, 420, 541, 553, 432, 431, 552 353, 543, 422, 421, 542, 554, 433, 432, 553 354, 544, 423, 422, 543, 555, 434, 433, 554 355, 545, 424, 423, 544, 556, 435, 434, 555 356, 546, 425, 424, 545, 557, 436, 435, 556 357, 547, 426, 425, 546, 558, 437, 436, 557 358, 548, 427, 426, 547, 559, 438, 437, 558 359, 549, 428, 427, 548, 560, 439, 438, 559 360, 550, 429, 428, 549, 561, 440, 439, 560 361, 552, 431, 430, 551, 563, 442, 441, 562 362, 553, 432, 431, 552, 564, 443, 442, 563 363, 554, 433, 432, 553, 565, 444, 443, 564 364, 555, 434, 433, 554, 566, 445, 444, 565 365, 556, 435, 434, 555, 567, 446, 445, 566 366, 557, 436, 435, 556, 568, 447, 446, 567 367, 558, 437, 436, 557, 569, 448, 447, 568 368, 559, 438, 437, 558, 570, 449, 448, 569 369, 560, 439, 438, 559, 571, 450, 449, 570 370, 561, 440, 439, 560, 572, 451, 450, 571 371, 563, 442, 441, 562, 574, 453, 452, 573 372, 564, 443, 442, 563, 575, 454, 453, 574 373, 565, 444, 443, 564, 576, 455, 454, 575 374, 566, 445, 444, 565, 577, 456, 455, 576 375, 567, 446, 445, 566, 578, 457, 456, 577 376, 568, 447, 446, 567, 579, 458, 457, 578 377, 569, 448, 447, 568, 580, 459, 458, 579 378, 570, 449, 448, 569, 581, 460, 459, 580 379, 571, 450, 449, 570, 582, 461, 460, 581 380, 572, 451, 450, 571, 583, 462, 461, 582 381, 574, 453, 452, 573, 585, 464, 463, 584 382, 575, 454, 453, 574, 586, 465, 464, 585 383, 576, 455, 454, 575, 587, 466, 465, 586 384, 577, 456, 455, 576, 588, 467, 466, 587 385, 578, 457, 456, 577, 589, 468, 467, 588 386, 579, 458, 457, 578, 590, 469, 468, 589 387, 580, 459, 458, 579, 591, 470, 469, 590 388, 581, 460, 459, 580, 592, 471, 470, 591 389, 582, 461, 460, 581, 593, 472, 471, 592 390, 583, 462, 461, 582, 594, 473, 472, 593 391, 585, 464, 463, 584, 596, 475, 474, 595 392, 586, 465, 464, 585, 597, 476, 475, 596 393, 587, 466, 465, 586, 598, 477, 476, 597 394, 588, 467, 466, 587, 599, 478, 477, 598 395, 589, 468, 467, 588, 600, 479, 478, 599 396, 590, 469, 468, 589, 601, 480, 479, 600 397, 591, 470, 469, 590, 602, 481, 480, 601 398, 592, 471, 470, 591, 603, 482, 481, 602 399, 593, 472, 471, 592, 604, 483, 482, 603 400, 594, 473, 472, 593, 605, 484, 483, 604 401, 607, 486, 485, 606, 618, 497, 496, 617 402, 608, 487, 486, 607, 619, 498, 497, 618 403, 609, 488, 487, 608, 620, 499, 498, 619 404, 610, 489, 488, 609, 621, 500, 499, 620 405, 611, 490, 489, 610, 622, 501, 500, 621 406, 612, 491, 490, 611, 623, 502, 501, 622 407, 613, 492, 491, 612, 624, 503, 502, 623 408, 614, 493, 492, 613, 625, 504, 503, 624 409, 615, 494, 493, 614, 626, 505, 504, 625 410, 616, 495, 494, 615, 627, 506, 505, 626 411, 618, 497, 496, 617, 629, 508, 507, 628 412, 619, 498, 497, 618, 630, 509, 508, 629 413, 620, 499, 498, 619, 631, 510, 509, 630 414, 621, 500, 499, 620, 632, 511, 510, 631 415, 622, 501, 500, 621, 633, 512, 511, 632 416, 623, 502, 501, 622, 634, 513, 512, 633 417, 624, 503, 502, 623, 635, 514, 513, 634 418, 625, 504, 503, 624, 636, 515, 514, 635 419, 626, 505, 504, 625, 637, 516, 515, 636 420, 627, 506, 505, 626, 638, 517, 516, 637 421, 629, 508, 507, 628, 640, 519, 518, 639 422, 630, 509, 508, 629, 641, 520, 519, 640 423, 631, 510, 509, 630, 642, 521, 520, 641 424, 632, 511, 510, 631, 643, 522, 521, 642 425, 633, 512, 511, 632, 644, 523, 522, 643 426, 634, 513, 512, 633, 645, 524, 523, 644 427, 635, 514, 513, 634, 646, 525, 524, 645 428, 636, 515, 514, 635, 647, 526, 525, 646 429, 637, 516, 515, 636, 648, 527, 526, 647 430, 638, 517, 516, 637, 649, 528, 527, 648 431, 640, 519, 518, 639, 651, 530, 529, 650 432, 641, 520, 519, 640, 652, 531, 530, 651 433, 642, 521, 520, 641, 653, 532, 531, 652 434, 643, 522, 521, 642, 654, 533, 532, 653 435, 644, 523, 522, 643, 655, 534, 533, 654 436, 645, 524, 523, 644, 656, 535, 534, 655 437, 646, 525, 524, 645, 657, 536, 535, 656 438, 647, 526, 525, 646, 658, 537, 536, 657 439, 648, 527, 526, 647, 659, 538, 537, 658 440, 649, 528, 527, 648, 660, 539, 538, 659 441, 651, 530, 529, 650, 662, 541, 540, 661 442, 652, 531, 530, 651, 663, 542, 541, 662 443, 653, 532, 531, 652, 664, 543, 542, 663 444, 654, 533, 532, 653, 665, 544, 543, 664 445, 655, 534, 533, 654, 666, 545, 544, 665 446, 656, 535, 534, 655, 667, 546, 545, 666 447, 657, 536, 535, 656, 668, 547, 546, 667 448, 658, 537, 536, 657, 669, 548, 547, 668 449, 659, 538, 537, 658, 670, 549, 548, 669 450, 660, 539, 538, 659, 671, 550, 549, 670 451, 662, 541, 540, 661, 673, 552, 551, 672 452, 663, 542, 541, 662, 674, 553, 552, 673 453, 664, 543, 542, 663, 675, 554, 553, 674 454, 665, 544, 543, 664, 676, 555, 554, 675 455, 666, 545, 544, 665, 677, 556, 555, 676 456, 667, 546, 545, 666, 678, 557, 556, 677 457, 668, 547, 546, 667, 679, 558, 557, 678 458, 669, 548, 547, 668, 680, 559, 558, 679 459, 670, 549, 548, 669, 681, 560, 559, 680 460, 671, 550, 549, 670, 682, 561, 560, 681 461, 673, 552, 551, 672, 684, 563, 562, 683 462, 674, 553, 552, 673, 685, 564, 563, 684 463, 675, 554, 553, 674, 686, 565, 564, 685 464, 676, 555, 554, 675, 687, 566, 565, 686 465, 677, 556, 555, 676, 688, 567, 566, 687 466, 678, 557, 556, 677, 689, 568, 567, 688 467, 679, 558, 557, 678, 690, 569, 568, 689 468, 680, 559, 558, 679, 691, 570, 569, 690 469, 681, 560, 559, 680, 692, 571, 570, 691 470, 682, 561, 560, 681, 693, 572, 571, 692 471, 684, 563, 562, 683, 695, 574, 573, 694 472, 685, 564, 563, 684, 696, 575, 574, 695 473, 686, 565, 564, 685, 697, 576, 575, 696 474, 687, 566, 565, 686, 698, 577, 576, 697 475, 688, 567, 566, 687, 699, 578, 577, 698 476, 689, 568, 567, 688, 700, 579, 578, 699 477, 690, 569, 568, 689, 701, 580, 579, 700 478, 691, 570, 569, 690, 702, 581, 580, 701 479, 692, 571, 570, 691, 703, 582, 581, 702 480, 693, 572, 571, 692, 704, 583, 582, 703 481, 695, 574, 573, 694, 706, 585, 584, 705 482, 696, 575, 574, 695, 707, 586, 585, 706 483, 697, 576, 575, 696, 708, 587, 586, 707 484, 698, 577, 576, 697, 709, 588, 587, 708 485, 699, 578, 577, 698, 710, 589, 588, 709 486, 700, 579, 578, 699, 711, 590, 589, 710 487, 701, 580, 579, 700, 712, 591, 590, 711 488, 702, 581, 580, 701, 713, 592, 591, 712 489, 703, 582, 581, 702, 714, 593, 592, 713 490, 704, 583, 582, 703, 715, 594, 593, 714 491, 706, 585, 584, 705, 717, 596, 595, 716 492, 707, 586, 585, 706, 718, 597, 596, 717 493, 708, 587, 586, 707, 719, 598, 597, 718 494, 709, 588, 587, 708, 720, 599, 598, 719 495, 710, 589, 588, 709, 721, 600, 599, 720 496, 711, 590, 589, 710, 722, 601, 600, 721 497, 712, 591, 590, 711, 723, 602, 601, 722 498, 713, 592, 591, 712, 724, 603, 602, 723 499, 714, 593, 592, 713, 725, 604, 603, 724 500, 715, 594, 593, 714, 726, 605, 604, 725 501, 728, 607, 606, 727, 739, 618, 617, 738 502, 729, 608, 607, 728, 740, 619, 618, 739 503, 730, 609, 608, 729, 741, 620, 619, 740 504, 731, 610, 609, 730, 742, 621, 620, 741 505, 732, 611, 610, 731, 743, 622, 621, 742 506, 733, 612, 611, 732, 744, 623, 622, 743 507, 734, 613, 612, 733, 745, 624, 623, 744 508, 735, 614, 613, 734, 746, 625, 624, 745 509, 736, 615, 614, 735, 747, 626, 625, 746 510, 737, 616, 615, 736, 748, 627, 626, 747 511, 739, 618, 617, 738, 750, 629, 628, 749 512, 740, 619, 618, 739, 751, 630, 629, 750 513, 741, 620, 619, 740, 752, 631, 630, 751 514, 742, 621, 620, 741, 753, 632, 631, 752 515, 743, 622, 621, 742, 754, 633, 632, 753 516, 744, 623, 622, 743, 755, 634, 633, 754 517, 745, 624, 623, 744, 756, 635, 634, 755 518, 746, 625, 624, 745, 757, 636, 635, 756 519, 747, 626, 625, 746, 758, 637, 636, 757 520, 748, 627, 626, 747, 759, 638, 637, 758 521, 750, 629, 628, 749, 761, 640, 639, 760 522, 751, 630, 629, 750, 762, 641, 640, 761 523, 752, 631, 630, 751, 763, 642, 641, 762 524, 753, 632, 631, 752, 764, 643, 642, 763 525, 754, 633, 632, 753, 765, 644, 643, 764 526, 755, 634, 633, 754, 766, 645, 644, 765 527, 756, 635, 634, 755, 767, 646, 645, 766 528, 757, 636, 635, 756, 768, 647, 646, 767 529, 758, 637, 636, 757, 769, 648, 647, 768 530, 759, 638, 637, 758, 770, 649, 648, 769 531, 761, 640, 639, 760, 772, 651, 650, 771 532, 762, 641, 640, 761, 773, 652, 651, 772 533, 763, 642, 641, 762, 774, 653, 652, 773 534, 764, 643, 642, 763, 775, 654, 653, 774 535, 765, 644, 643, 764, 776, 655, 654, 775 536, 766, 645, 644, 765, 777, 656, 655, 776 537, 767, 646, 645, 766, 778, 657, 656, 777 538, 768, 647, 646, 767, 779, 658, 657, 778 539, 769, 648, 647, 768, 780, 659, 658, 779 540, 770, 649, 648, 769, 781, 660, 659, 780 541, 772, 651, 650, 771, 783, 662, 661, 782 542, 773, 652, 651, 772, 784, 663, 662, 783 543, 774, 653, 652, 773, 785, 664, 663, 784 544, 775, 654, 653, 774, 786, 665, 664, 785 545, 776, 655, 654, 775, 787, 666, 665, 786 546, 777, 656, 655, 776, 788, 667, 666, 787 547, 778, 657, 656, 777, 789, 668, 667, 788 548, 779, 658, 657, 778, 790, 669, 668, 789 549, 780, 659, 658, 779, 791, 670, 669, 790 550, 781, 660, 659, 780, 792, 671, 670, 791 551, 783, 662, 661, 782, 794, 673, 672, 793 552, 784, 663, 662, 783, 795, 674, 673, 794 553, 785, 664, 663, 784, 796, 675, 674, 795 554, 786, 665, 664, 785, 797, 676, 675, 796 555, 787, 666, 665, 786, 798, 677, 676, 797 556, 788, 667, 666, 787, 799, 678, 677, 798 557, 789, 668, 667, 788, 800, 679, 678, 799 558, 790, 669, 668, 789, 801, 680, 679, 800 559, 791, 670, 669, 790, 802, 681, 680, 801 560, 792, 671, 670, 791, 803, 682, 681, 802 561, 794, 673, 672, 793, 805, 684, 683, 804 562, 795, 674, 673, 794, 806, 685, 684, 805 563, 796, 675, 674, 795, 807, 686, 685, 806 564, 797, 676, 675, 796, 808, 687, 686, 807 565, 798, 677, 676, 797, 809, 688, 687, 808 566, 799, 678, 677, 798, 810, 689, 688, 809 567, 800, 679, 678, 799, 811, 690, 689, 810 568, 801, 680, 679, 800, 812, 691, 690, 811 569, 802, 681, 680, 801, 813, 692, 691, 812 570, 803, 682, 681, 802, 814, 693, 692, 813 571, 805, 684, 683, 804, 816, 695, 694, 815 572, 806, 685, 684, 805, 817, 696, 695, 816 573, 807, 686, 685, 806, 818, 697, 696, 817 574, 808, 687, 686, 807, 819, 698, 697, 818 575, 809, 688, 687, 808, 820, 699, 698, 819 576, 810, 689, 688, 809, 821, 700, 699, 820 577, 811, 690, 689, 810, 822, 701, 700, 821 578, 812, 691, 690, 811, 823, 702, 701, 822 579, 813, 692, 691, 812, 824, 703, 702, 823 580, 814, 693, 692, 813, 825, 704, 703, 824 581, 816, 695, 694, 815, 827, 706, 705, 826 582, 817, 696, 695, 816, 828, 707, 706, 827 583, 818, 697, 696, 817, 829, 708, 707, 828 584, 819, 698, 697, 818, 830, 709, 708, 829 585, 820, 699, 698, 819, 831, 710, 709, 830 586, 821, 700, 699, 820, 832, 711, 710, 831 587, 822, 701, 700, 821, 833, 712, 711, 832 588, 823, 702, 701, 822, 834, 713, 712, 833 589, 824, 703, 702, 823, 835, 714, 713, 834 590, 825, 704, 703, 824, 836, 715, 714, 835 591, 827, 706, 705, 826, 838, 717, 716, 837 592, 828, 707, 706, 827, 839, 718, 717, 838 593, 829, 708, 707, 828, 840, 719, 718, 839 594, 830, 709, 708, 829, 841, 720, 719, 840 595, 831, 710, 709, 830, 842, 721, 720, 841 596, 832, 711, 710, 831, 843, 722, 721, 842 597, 833, 712, 711, 832, 844, 723, 722, 843 598, 834, 713, 712, 833, 845, 724, 723, 844 599, 835, 714, 713, 834, 846, 725, 724, 845 600, 836, 715, 714, 835, 847, 726, 725, 846 601, 849, 728, 727, 848, 860, 739, 738, 859 602, 850, 729, 728, 849, 861, 740, 739, 860 603, 851, 730, 729, 850, 862, 741, 740, 861 604, 852, 731, 730, 851, 863, 742, 741, 862 605, 853, 732, 731, 852, 864, 743, 742, 863 606, 854, 733, 732, 853, 865, 744, 743, 864 607, 855, 734, 733, 854, 866, 745, 744, 865 608, 856, 735, 734, 855, 867, 746, 745, 866 609, 857, 736, 735, 856, 868, 747, 746, 867 610, 858, 737, 736, 857, 869, 748, 747, 868 611, 860, 739, 738, 859, 871, 750, 749, 870 612, 861, 740, 739, 860, 872, 751, 750, 871 613, 862, 741, 740, 861, 873, 752, 751, 872 614, 863, 742, 741, 862, 874, 753, 752, 873 615, 864, 743, 742, 863, 875, 754, 753, 874 616, 865, 744, 743, 864, 876, 755, 754, 875 617, 866, 745, 744, 865, 877, 756, 755, 876 618, 867, 746, 745, 866, 878, 757, 756, 877 619, 868, 747, 746, 867, 879, 758, 757, 878 620, 869, 748, 747, 868, 880, 759, 758, 879 621, 871, 750, 749, 870, 882, 761, 760, 881 622, 872, 751, 750, 871, 883, 762, 761, 882 623, 873, 752, 751, 872, 884, 763, 762, 883 624, 874, 753, 752, 873, 885, 764, 763, 884 625, 875, 754, 753, 874, 886, 765, 764, 885 626, 876, 755, 754, 875, 887, 766, 765, 886 627, 877, 756, 755, 876, 888, 767, 766, 887 628, 878, 757, 756, 877, 889, 768, 767, 888 629, 879, 758, 757, 878, 890, 769, 768, 889 630, 880, 759, 758, 879, 891, 770, 769, 890 631, 882, 761, 760, 881, 893, 772, 771, 892 632, 883, 762, 761, 882, 894, 773, 772, 893 633, 884, 763, 762, 883, 895, 774, 773, 894 634, 885, 764, 763, 884, 896, 775, 774, 895 635, 886, 765, 764, 885, 897, 776, 775, 896 636, 887, 766, 765, 886, 898, 777, 776, 897 637, 888, 767, 766, 887, 899, 778, 777, 898 638, 889, 768, 767, 888, 900, 779, 778, 899 639, 890, 769, 768, 889, 901, 780, 779, 900 640, 891, 770, 769, 890, 902, 781, 780, 901 641, 893, 772, 771, 892, 904, 783, 782, 903 642, 894, 773, 772, 893, 905, 784, 783, 904 643, 895, 774, 773, 894, 906, 785, 784, 905 644, 896, 775, 774, 895, 907, 786, 785, 906 645, 897, 776, 775, 896, 908, 787, 786, 907 646, 898, 777, 776, 897, 909, 788, 787, 908 647, 899, 778, 777, 898, 910, 789, 788, 909 648, 900, 779, 778, 899, 911, 790, 789, 910 649, 901, 780, 779, 900, 912, 791, 790, 911 650, 902, 781, 780, 901, 913, 792, 791, 912 651, 904, 783, 782, 903, 915, 794, 793, 914 652, 905, 784, 783, 904, 916, 795, 794, 915 653, 906, 785, 784, 905, 917, 796, 795, 916 654, 907, 786, 785, 906, 918, 797, 796, 917 655, 908, 787, 786, 907, 919, 798, 797, 918 656, 909, 788, 787, 908, 920, 799, 798, 919 657, 910, 789, 788, 909, 921, 800, 799, 920 658, 911, 790, 789, 910, 922, 801, 800, 921 659, 912, 791, 790, 911, 923, 802, 801, 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1260, 1272, 1151, 1150, 1271 947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272 948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273 949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274 950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275 951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277 952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278 953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279 954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280 955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281 956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282 957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283 958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284 959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285 960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286 961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288 962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289 963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290 964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291 965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292 966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293 967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294 968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295 969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296 970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297 971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299 972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300 973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301 974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302 975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303 976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304 977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305 978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306 979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307 980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308 981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310 982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311 983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312 984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313 985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314 986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315 987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316 988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317 989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318 990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319 991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321 992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322 993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323 994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324 995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325 996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326 997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327 998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328 999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329 1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330 *End Instance ** *End Assembly **MATERIALS ** *Material, name=MATERIAL-GRAIN1 *Depvar 12, *User Material, constants=6 131.57,106.934,219.914,1,2,0 *Material, name=MATERIAL-GRAIN2 *Depvar 12, *User Material, constants=6 207.046,89.158,335.024,2,2,0 *Material, name=MATERIAL-GRAIN3 *Depvar 12, *User Material, constants=6 178.061,37.773,321.494,3,2,0 *Material, name=MATERIAL-GRAIN4 *Depvar 12, *User Material, constants=6 234.272,107.927,232.783,4,2,0 *Material, name=MATERIAL-GRAIN5 *Depvar 12, *User Material, constants=6 131.024,82.927,261.214,5,2,0 *Material, name=MATERIAL-GRAIN6 *Depvar 12, *User Material, constants=6 123.609,63.988,170.189,6,2,0 *Material, name=MATERIAL-GRAIN7 *Depvar 12, *User Material, constants=6 78.282,94.024,208.666,7,2,0 ** ** ** STEP: Loading ** *Step, name=Loading, nlgeom=YES, inc=10000 *Static 0.01, 10., 1e-05, 1. ** ** OUTPUT REQUESTS ** *Restart, write, frequency=0 ** ** FIELD OUTPUT: F-Output-1 ** *Output, field, variable=PRESELECT ** ** FIELD OUTPUT: F-Output-2 ** *Element Output, directions=YES SDV, ** ** HISTORY OUTPUT: H-Output-1 ** *Output, history, variable=PRESELECT ** *End Step ================================================ FILE: Dream3D2Abaqus/Step-2b Python/testcase.vox ================================================ 234.272 107.927 232.783 1 1 1 4 1 234.272 107.927 232.783 2 1 1 4 1 234.272 107.927 232.783 3 1 1 4 1 234.272 107.927 232.783 4 1 1 4 1 234.272 107.927 232.783 5 1 1 4 1 131.024 82.927 261.214 6 1 1 5 1 131.024 82.927 261.214 7 1 1 5 1 131.024 82.927 261.214 8 1 1 5 1 131.024 82.927 261.214 9 1 1 5 1 131.024 82.927 261.214 10 1 1 5 1 234.272 107.927 232.783 1 2 1 4 1 234.272 107.927 232.783 2 2 1 4 1 234.272 107.927 232.783 3 2 1 4 1 234.272 107.927 232.783 4 2 1 4 1 234.272 107.927 232.783 5 2 1 4 1 131.024 82.927 261.214 6 2 1 5 1 131.024 82.927 261.214 7 2 1 5 1 131.024 82.927 261.214 8 2 1 5 1 131.024 82.927 261.214 9 2 1 5 1 131.024 82.927 261.214 10 2 1 5 1 234.272 107.927 232.783 1 3 1 4 1 234.272 107.927 232.783 2 3 1 4 1 234.272 107.927 232.783 3 3 1 4 1 234.272 107.927 232.783 4 3 1 4 1 234.272 107.927 232.783 5 3 1 4 1 131.024 82.927 261.214 6 3 1 5 1 131.024 82.927 261.214 7 3 1 5 1 131.024 82.927 261.214 8 3 1 5 1 131.024 82.927 261.214 9 3 1 5 1 131.024 82.927 261.214 10 3 1 5 1 234.272 107.927 232.783 1 4 1 4 1 234.272 107.927 232.783 2 4 1 4 1 234.272 107.927 232.783 3 4 1 4 1 234.272 107.927 232.783 4 4 1 4 1 207.046 89.158 335.024 5 4 1 2 1 207.046 89.158 335.024 6 4 1 2 1 207.046 89.158 335.024 7 4 1 2 1 131.024 82.927 261.214 8 4 1 5 1 131.024 82.927 261.214 9 4 1 5 1 131.024 82.927 261.214 10 4 1 5 1 78.282 94.024 208.666 1 5 1 7 1 234.272 107.927 232.783 2 5 1 4 1 234.272 107.927 232.783 3 5 1 4 1 207.046 89.158 335.024 4 5 1 2 1 207.046 89.158 335.024 5 5 1 2 1 207.046 89.158 335.024 6 5 1 2 1 207.046 89.158 335.024 7 5 1 2 1 207.046 89.158 335.024 8 5 1 2 1 131.024 82.927 261.214 9 5 1 5 1 131.024 82.927 261.214 10 5 1 5 1 78.282 94.024 208.666 1 6 1 7 1 78.282 94.024 208.666 2 6 1 7 1 78.282 94.024 208.666 3 6 1 7 1 207.046 89.158 335.024 4 6 1 2 1 207.046 89.158 335.024 5 6 1 2 1 207.046 89.158 335.024 6 6 1 2 1 207.046 89.158 335.024 7 6 1 2 1 207.046 89.158 335.024 8 6 1 2 1 207.046 89.158 335.024 9 6 1 2 1 207.046 89.158 335.024 10 6 1 2 1 78.282 94.024 208.666 1 7 1 7 1 78.282 94.024 208.666 2 7 1 7 1 78.282 94.024 208.666 3 7 1 7 1 207.046 89.158 335.024 4 7 1 2 1 207.046 89.158 335.024 5 7 1 2 1 207.046 89.158 335.024 6 7 1 2 1 207.046 89.158 335.024 7 7 1 2 1 207.046 89.158 335.024 8 7 1 2 1 207.046 89.158 335.024 9 7 1 2 1 207.046 89.158 335.024 10 7 1 2 1 78.282 94.024 208.666 1 8 1 7 1 78.282 94.024 208.666 2 8 1 7 1 78.282 94.024 208.666 3 8 1 7 1 207.046 89.158 335.024 4 8 1 2 1 207.046 89.158 335.024 5 8 1 2 1 207.046 89.158 335.024 6 8 1 2 1 207.046 89.158 335.024 7 8 1 2 1 207.046 89.158 335.024 8 8 1 2 1 207.046 89.158 335.024 9 8 1 2 1 207.046 89.158 335.024 10 8 1 2 1 78.282 94.024 208.666 1 9 1 7 1 78.282 94.024 208.666 2 9 1 7 1 207.046 89.158 335.024 3 9 1 2 1 207.046 89.158 335.024 4 9 1 2 1 207.046 89.158 335.024 5 9 1 2 1 207.046 89.158 335.024 6 9 1 2 1 207.046 89.158 335.024 7 9 1 2 1 207.046 89.158 335.024 8 9 1 2 1 207.046 89.158 335.024 9 9 1 2 1 207.046 89.158 335.024 10 9 1 2 1 78.282 94.024 208.666 1 10 1 7 1 78.282 94.024 208.666 2 10 1 7 1 207.046 89.158 335.024 3 10 1 2 1 207.046 89.158 335.024 4 10 1 2 1 207.046 89.158 335.024 5 10 1 2 1 207.046 89.158 335.024 6 10 1 2 1 207.046 89.158 335.024 7 10 1 2 1 207.046 89.158 335.024 8 10 1 2 1 207.046 89.158 335.024 9 10 1 2 1 207.046 89.158 335.024 10 10 1 2 1 234.272 107.927 232.783 1 1 2 4 1 234.272 107.927 232.783 2 1 2 4 1 234.272 107.927 232.783 3 1 2 4 1 234.272 107.927 232.783 4 1 2 4 1 234.272 107.927 232.783 5 1 2 4 1 131.024 82.927 261.214 6 1 2 5 1 131.024 82.927 261.214 7 1 2 5 1 131.024 82.927 261.214 8 1 2 5 1 131.024 82.927 261.214 9 1 2 5 1 131.024 82.927 261.214 10 1 2 5 1 234.272 107.927 232.783 1 2 2 4 1 234.272 107.927 232.783 2 2 2 4 1 234.272 107.927 232.783 3 2 2 4 1 234.272 107.927 232.783 4 2 2 4 1 234.272 107.927 232.783 5 2 2 4 1 131.024 82.927 261.214 6 2 2 5 1 131.024 82.927 261.214 7 2 2 5 1 131.024 82.927 261.214 8 2 2 5 1 131.024 82.927 261.214 9 2 2 5 1 131.024 82.927 261.214 10 2 2 5 1 234.272 107.927 232.783 1 3 2 4 1 234.272 107.927 232.783 2 3 2 4 1 234.272 107.927 232.783 3 3 2 4 1 234.272 107.927 232.783 4 3 2 4 1 234.272 107.927 232.783 5 3 2 4 1 131.024 82.927 261.214 6 3 2 5 1 131.024 82.927 261.214 7 3 2 5 1 131.024 82.927 261.214 8 3 2 5 1 131.024 82.927 261.214 9 3 2 5 1 131.024 82.927 261.214 10 3 2 5 1 234.272 107.927 232.783 1 4 2 4 1 234.272 107.927 232.783 2 4 2 4 1 234.272 107.927 232.783 3 4 2 4 1 234.272 107.927 232.783 4 4 2 4 1 207.046 89.158 335.024 5 4 2 2 1 131.024 82.927 261.214 6 4 2 5 1 131.024 82.927 261.214 7 4 2 5 1 131.024 82.927 261.214 8 4 2 5 1 131.024 82.927 261.214 9 4 2 5 1 131.024 82.927 261.214 10 4 2 5 1 78.282 94.024 208.666 1 5 2 7 1 234.272 107.927 232.783 2 5 2 4 1 234.272 107.927 232.783 3 5 2 4 1 207.046 89.158 335.024 4 5 2 2 1 207.046 89.158 335.024 5 5 2 2 1 207.046 89.158 335.024 6 5 2 2 1 207.046 89.158 335.024 7 5 2 2 1 207.046 89.158 335.024 8 5 2 2 1 131.024 82.927 261.214 9 5 2 5 1 131.024 82.927 261.214 10 5 2 5 1 78.282 94.024 208.666 1 6 2 7 1 78.282 94.024 208.666 2 6 2 7 1 78.282 94.024 208.666 3 6 2 7 1 207.046 89.158 335.024 4 6 2 2 1 207.046 89.158 335.024 5 6 2 2 1 207.046 89.158 335.024 6 6 2 2 1 207.046 89.158 335.024 7 6 2 2 1 207.046 89.158 335.024 8 6 2 2 1 207.046 89.158 335.024 9 6 2 2 1 207.046 89.158 335.024 10 6 2 2 1 78.282 94.024 208.666 1 7 2 7 1 78.282 94.024 208.666 2 7 2 7 1 78.282 94.024 208.666 3 7 2 7 1 207.046 89.158 335.024 4 7 2 2 1 207.046 89.158 335.024 5 7 2 2 1 207.046 89.158 335.024 6 7 2 2 1 207.046 89.158 335.024 7 7 2 2 1 207.046 89.158 335.024 8 7 2 2 1 207.046 89.158 335.024 9 7 2 2 1 207.046 89.158 335.024 10 7 2 2 1 78.282 94.024 208.666 1 8 2 7 1 78.282 94.024 208.666 2 8 2 7 1 78.282 94.024 208.666 3 8 2 7 1 207.046 89.158 335.024 4 8 2 2 1 207.046 89.158 335.024 5 8 2 2 1 207.046 89.158 335.024 6 8 2 2 1 207.046 89.158 335.024 7 8 2 2 1 207.046 89.158 335.024 8 8 2 2 1 207.046 89.158 335.024 9 8 2 2 1 207.046 89.158 335.024 10 8 2 2 1 78.282 94.024 208.666 1 9 2 7 1 78.282 94.024 208.666 2 9 2 7 1 78.282 94.024 208.666 3 9 2 7 1 207.046 89.158 335.024 4 9 2 2 1 207.046 89.158 335.024 5 9 2 2 1 207.046 89.158 335.024 6 9 2 2 1 207.046 89.158 335.024 7 9 2 2 1 207.046 89.158 335.024 8 9 2 2 1 207.046 89.158 335.024 9 9 2 2 1 207.046 89.158 335.024 10 9 2 2 1 78.282 94.024 208.666 1 10 2 7 1 78.282 94.024 208.666 2 10 2 7 1 178.061 37.773 321.494 3 10 2 3 1 207.046 89.158 335.024 4 10 2 2 1 207.046 89.158 335.024 5 10 2 2 1 207.046 89.158 335.024 6 10 2 2 1 207.046 89.158 335.024 7 10 2 2 1 207.046 89.158 335.024 8 10 2 2 1 207.046 89.158 335.024 9 10 2 2 1 207.046 89.158 335.024 10 10 2 2 1 234.272 107.927 232.783 1 1 3 4 1 234.272 107.927 232.783 2 1 3 4 1 234.272 107.927 232.783 3 1 3 4 1 234.272 107.927 232.783 4 1 3 4 1 234.272 107.927 232.783 5 1 3 4 1 131.024 82.927 261.214 6 1 3 5 1 131.024 82.927 261.214 7 1 3 5 1 131.024 82.927 261.214 8 1 3 5 1 131.024 82.927 261.214 9 1 3 5 1 131.024 82.927 261.214 10 1 3 5 1 234.272 107.927 232.783 1 2 3 4 1 234.272 107.927 232.783 2 2 3 4 1 234.272 107.927 232.783 3 2 3 4 1 234.272 107.927 232.783 4 2 3 4 1 234.272 107.927 232.783 5 2 3 4 1 131.024 82.927 261.214 6 2 3 5 1 131.024 82.927 261.214 7 2 3 5 1 131.024 82.927 261.214 8 2 3 5 1 131.024 82.927 261.214 9 2 3 5 1 131.024 82.927 261.214 10 2 3 5 1 234.272 107.927 232.783 1 3 3 4 1 234.272 107.927 232.783 2 3 3 4 1 234.272 107.927 232.783 3 3 3 4 1 234.272 107.927 232.783 4 3 3 4 1 234.272 107.927 232.783 5 3 3 4 1 131.024 82.927 261.214 6 3 3 5 1 131.024 82.927 261.214 7 3 3 5 1 131.024 82.927 261.214 8 3 3 5 1 131.024 82.927 261.214 9 3 3 5 1 131.024 82.927 261.214 10 3 3 5 1 234.272 107.927 232.783 1 4 3 4 1 234.272 107.927 232.783 2 4 3 4 1 234.272 107.927 232.783 3 4 3 4 1 234.272 107.927 232.783 4 4 3 4 1 131.024 82.927 261.214 5 4 3 5 1 131.024 82.927 261.214 6 4 3 5 1 131.024 82.927 261.214 7 4 3 5 1 131.024 82.927 261.214 8 4 3 5 1 131.024 82.927 261.214 9 4 3 5 1 131.024 82.927 261.214 10 4 3 5 1 78.282 94.024 208.666 1 5 3 7 1 78.282 94.024 208.666 2 5 3 7 1 78.282 94.024 208.666 3 5 3 7 1 207.046 89.158 335.024 4 5 3 2 1 207.046 89.158 335.024 5 5 3 2 1 207.046 89.158 335.024 6 5 3 2 1 207.046 89.158 335.024 7 5 3 2 1 131.024 82.927 261.214 8 5 3 5 1 131.024 82.927 261.214 9 5 3 5 1 131.024 82.927 261.214 10 5 3 5 1 78.282 94.024 208.666 1 6 3 7 1 78.282 94.024 208.666 2 6 3 7 1 78.282 94.024 208.666 3 6 3 7 1 207.046 89.158 335.024 4 6 3 2 1 207.046 89.158 335.024 5 6 3 2 1 207.046 89.158 335.024 6 6 3 2 1 207.046 89.158 335.024 7 6 3 2 1 207.046 89.158 335.024 8 6 3 2 1 207.046 89.158 335.024 9 6 3 2 1 131.024 82.927 261.214 10 6 3 5 1 78.282 94.024 208.666 1 7 3 7 1 78.282 94.024 208.666 2 7 3 7 1 78.282 94.024 208.666 3 7 3 7 1 207.046 89.158 335.024 4 7 3 2 1 207.046 89.158 335.024 5 7 3 2 1 207.046 89.158 335.024 6 7 3 2 1 207.046 89.158 335.024 7 7 3 2 1 207.046 89.158 335.024 8 7 3 2 1 207.046 89.158 335.024 9 7 3 2 1 207.046 89.158 335.024 10 7 3 2 1 78.282 94.024 208.666 1 8 3 7 1 78.282 94.024 208.666 2 8 3 7 1 78.282 94.024 208.666 3 8 3 7 1 207.046 89.158 335.024 4 8 3 2 1 207.046 89.158 335.024 5 8 3 2 1 207.046 89.158 335.024 6 8 3 2 1 207.046 89.158 335.024 7 8 3 2 1 207.046 89.158 335.024 8 8 3 2 1 207.046 89.158 335.024 9 8 3 2 1 207.046 89.158 335.024 10 8 3 2 1 78.282 94.024 208.666 1 9 3 7 1 78.282 94.024 208.666 2 9 3 7 1 78.282 94.024 208.666 3 9 3 7 1 207.046 89.158 335.024 4 9 3 2 1 207.046 89.158 335.024 5 9 3 2 1 207.046 89.158 335.024 6 9 3 2 1 207.046 89.158 335.024 7 9 3 2 1 207.046 89.158 335.024 8 9 3 2 1 207.046 89.158 335.024 9 9 3 2 1 207.046 89.158 335.024 10 9 3 2 1 78.282 94.024 208.666 1 10 3 7 1 78.282 94.024 208.666 2 10 3 7 1 178.061 37.773 321.494 3 10 3 3 1 178.061 37.773 321.494 4 10 3 3 1 207.046 89.158 335.024 5 10 3 2 1 207.046 89.158 335.024 6 10 3 2 1 207.046 89.158 335.024 7 10 3 2 1 207.046 89.158 335.024 8 10 3 2 1 207.046 89.158 335.024 9 10 3 2 1 123.609 63.988 170.189 10 10 3 6 1 234.272 107.927 232.783 1 1 4 4 1 234.272 107.927 232.783 2 1 4 4 1 234.272 107.927 232.783 3 1 4 4 1 234.272 107.927 232.783 4 1 4 4 1 234.272 107.927 232.783 5 1 4 4 1 131.024 82.927 261.214 6 1 4 5 1 131.024 82.927 261.214 7 1 4 5 1 131.024 82.927 261.214 8 1 4 5 1 131.024 82.927 261.214 9 1 4 5 1 131.024 82.927 261.214 10 1 4 5 1 234.272 107.927 232.783 1 2 4 4 1 234.272 107.927 232.783 2 2 4 4 1 234.272 107.927 232.783 3 2 4 4 1 234.272 107.927 232.783 4 2 4 4 1 234.272 107.927 232.783 5 2 4 4 1 131.024 82.927 261.214 6 2 4 5 1 131.024 82.927 261.214 7 2 4 5 1 131.024 82.927 261.214 8 2 4 5 1 131.024 82.927 261.214 9 2 4 5 1 131.024 82.927 261.214 10 2 4 5 1 234.272 107.927 232.783 1 3 4 4 1 234.272 107.927 232.783 2 3 4 4 1 234.272 107.927 232.783 3 3 4 4 1 234.272 107.927 232.783 4 3 4 4 1 131.024 82.927 261.214 5 3 4 5 1 131.024 82.927 261.214 6 3 4 5 1 131.024 82.927 261.214 7 3 4 5 1 131.024 82.927 261.214 8 3 4 5 1 131.024 82.927 261.214 9 3 4 5 1 131.024 82.927 261.214 10 3 4 5 1 234.272 107.927 232.783 1 4 4 4 1 234.272 107.927 232.783 2 4 4 4 1 234.272 107.927 232.783 3 4 4 4 1 234.272 107.927 232.783 4 4 4 4 1 131.024 82.927 261.214 5 4 4 5 1 131.024 82.927 261.214 6 4 4 5 1 131.024 82.927 261.214 7 4 4 5 1 131.024 82.927 261.214 8 4 4 5 1 131.024 82.927 261.214 9 4 4 5 1 131.024 82.927 261.214 10 4 4 5 1 78.282 94.024 208.666 1 5 4 7 1 78.282 94.024 208.666 2 5 4 7 1 78.282 94.024 208.666 3 5 4 7 1 207.046 89.158 335.024 4 5 4 2 1 207.046 89.158 335.024 5 5 4 2 1 207.046 89.158 335.024 6 5 4 2 1 131.024 82.927 261.214 7 5 4 5 1 131.024 82.927 261.214 8 5 4 5 1 131.024 82.927 261.214 9 5 4 5 1 131.024 82.927 261.214 10 5 4 5 1 78.282 94.024 208.666 1 6 4 7 1 78.282 94.024 208.666 2 6 4 7 1 78.282 94.024 208.666 3 6 4 7 1 207.046 89.158 335.024 4 6 4 2 1 207.046 89.158 335.024 5 6 4 2 1 207.046 89.158 335.024 6 6 4 2 1 207.046 89.158 335.024 7 6 4 2 1 207.046 89.158 335.024 8 6 4 2 1 207.046 89.158 335.024 9 6 4 2 1 131.024 82.927 261.214 10 6 4 5 1 78.282 94.024 208.666 1 7 4 7 1 78.282 94.024 208.666 2 7 4 7 1 78.282 94.024 208.666 3 7 4 7 1 207.046 89.158 335.024 4 7 4 2 1 207.046 89.158 335.024 5 7 4 2 1 207.046 89.158 335.024 6 7 4 2 1 207.046 89.158 335.024 7 7 4 2 1 207.046 89.158 335.024 8 7 4 2 1 207.046 89.158 335.024 9 7 4 2 1 123.609 63.988 170.189 10 7 4 6 1 78.282 94.024 208.666 1 8 4 7 1 78.282 94.024 208.666 2 8 4 7 1 78.282 94.024 208.666 3 8 4 7 1 178.061 37.773 321.494 4 8 4 3 1 207.046 89.158 335.024 5 8 4 2 1 207.046 89.158 335.024 6 8 4 2 1 207.046 89.158 335.024 7 8 4 2 1 207.046 89.158 335.024 8 8 4 2 1 207.046 89.158 335.024 9 8 4 2 1 123.609 63.988 170.189 10 8 4 6 1 78.282 94.024 208.666 1 9 4 7 1 78.282 94.024 208.666 2 9 4 7 1 178.061 37.773 321.494 3 9 4 3 1 178.061 37.773 321.494 4 9 4 3 1 207.046 89.158 335.024 5 9 4 2 1 207.046 89.158 335.024 6 9 4 2 1 207.046 89.158 335.024 7 9 4 2 1 207.046 89.158 335.024 8 9 4 2 1 123.609 63.988 170.189 9 9 4 6 1 123.609 63.988 170.189 10 9 4 6 1 178.061 37.773 321.494 1 10 4 3 1 178.061 37.773 321.494 2 10 4 3 1 178.061 37.773 321.494 3 10 4 3 1 178.061 37.773 321.494 4 10 4 3 1 178.061 37.773 321.494 5 10 4 3 1 178.061 37.773 321.494 6 10 4 3 1 207.046 89.158 335.024 7 10 4 2 1 123.609 63.988 170.189 8 10 4 6 1 123.609 63.988 170.189 9 10 4 6 1 123.609 63.988 170.189 10 10 4 6 1 234.272 107.927 232.783 1 1 5 4 1 234.272 107.927 232.783 2 1 5 4 1 234.272 107.927 232.783 3 1 5 4 1 234.272 107.927 232.783 4 1 5 4 1 234.272 107.927 232.783 5 1 5 4 1 131.024 82.927 261.214 6 1 5 5 1 131.024 82.927 261.214 7 1 5 5 1 131.024 82.927 261.214 8 1 5 5 1 131.024 82.927 261.214 9 1 5 5 1 131.024 82.927 261.214 10 1 5 5 1 234.272 107.927 232.783 1 2 5 4 1 234.272 107.927 232.783 2 2 5 4 1 234.272 107.927 232.783 3 2 5 4 1 234.272 107.927 232.783 4 2 5 4 1 234.272 107.927 232.783 5 2 5 4 1 131.024 82.927 261.214 6 2 5 5 1 131.024 82.927 261.214 7 2 5 5 1 131.024 82.927 261.214 8 2 5 5 1 131.024 82.927 261.214 9 2 5 5 1 131.024 82.927 261.214 10 2 5 5 1 234.272 107.927 232.783 1 3 5 4 1 234.272 107.927 232.783 2 3 5 4 1 234.272 107.927 232.783 3 3 5 4 1 234.272 107.927 232.783 4 3 5 4 1 131.024 82.927 261.214 5 3 5 5 1 131.024 82.927 261.214 6 3 5 5 1 131.024 82.927 261.214 7 3 5 5 1 131.024 82.927 261.214 8 3 5 5 1 131.024 82.927 261.214 9 3 5 5 1 131.024 82.927 261.214 10 3 5 5 1 234.272 107.927 232.783 1 4 5 4 1 234.272 107.927 232.783 2 4 5 4 1 234.272 107.927 232.783 3 4 5 4 1 234.272 107.927 232.783 4 4 5 4 1 131.024 82.927 261.214 5 4 5 5 1 131.024 82.927 261.214 6 4 5 5 1 131.024 82.927 261.214 7 4 5 5 1 131.024 82.927 261.214 8 4 5 5 1 131.024 82.927 261.214 9 4 5 5 1 131.024 82.927 261.214 10 4 5 5 1 78.282 94.024 208.666 1 5 5 7 1 78.282 94.024 208.666 2 5 5 7 1 178.061 37.773 321.494 3 5 5 3 1 178.061 37.773 321.494 4 5 5 3 1 178.061 37.773 321.494 5 5 5 3 1 207.046 89.158 335.024 6 5 5 2 1 131.024 82.927 261.214 7 5 5 5 1 131.024 82.927 261.214 8 5 5 5 1 131.024 82.927 261.214 9 5 5 5 1 131.024 82.927 261.214 10 5 5 5 1 78.282 94.024 208.666 1 6 5 7 1 78.282 94.024 208.666 2 6 5 7 1 178.061 37.773 321.494 3 6 5 3 1 178.061 37.773 321.494 4 6 5 3 1 178.061 37.773 321.494 5 6 5 3 1 207.046 89.158 335.024 6 6 5 2 1 207.046 89.158 335.024 7 6 5 2 1 207.046 89.158 335.024 8 6 5 2 1 207.046 89.158 335.024 9 6 5 2 1 123.609 63.988 170.189 10 6 5 6 1 78.282 94.024 208.666 1 7 5 7 1 78.282 94.024 208.666 2 7 5 7 1 178.061 37.773 321.494 3 7 5 3 1 178.061 37.773 321.494 4 7 5 3 1 178.061 37.773 321.494 5 7 5 3 1 207.046 89.158 335.024 6 7 5 2 1 207.046 89.158 335.024 7 7 5 2 1 207.046 89.158 335.024 8 7 5 2 1 123.609 63.988 170.189 9 7 5 6 1 123.609 63.988 170.189 10 7 5 6 1 78.282 94.024 208.666 1 8 5 7 1 78.282 94.024 208.666 2 8 5 7 1 178.061 37.773 321.494 3 8 5 3 1 178.061 37.773 321.494 4 8 5 3 1 178.061 37.773 321.494 5 8 5 3 1 207.046 89.158 335.024 6 8 5 2 1 207.046 89.158 335.024 7 8 5 2 1 123.609 63.988 170.189 8 8 5 6 1 123.609 63.988 170.189 9 8 5 6 1 123.609 63.988 170.189 10 8 5 6 1 178.061 37.773 321.494 1 9 5 3 1 178.061 37.773 321.494 2 9 5 3 1 178.061 37.773 321.494 3 9 5 3 1 178.061 37.773 321.494 4 9 5 3 1 178.061 37.773 321.494 5 9 5 3 1 178.061 37.773 321.494 6 9 5 3 1 123.609 63.988 170.189 7 9 5 6 1 123.609 63.988 170.189 8 9 5 6 1 123.609 63.988 170.189 9 9 5 6 1 123.609 63.988 170.189 10 9 5 6 1 178.061 37.773 321.494 1 10 5 3 1 178.061 37.773 321.494 2 10 5 3 1 178.061 37.773 321.494 3 10 5 3 1 178.061 37.773 321.494 4 10 5 3 1 178.061 37.773 321.494 5 10 5 3 1 178.061 37.773 321.494 6 10 5 3 1 123.609 63.988 170.189 7 10 5 6 1 123.609 63.988 170.189 8 10 5 6 1 123.609 63.988 170.189 9 10 5 6 1 123.609 63.988 170.189 10 10 5 6 1 234.272 107.927 232.783 1 1 6 4 1 234.272 107.927 232.783 2 1 6 4 1 234.272 107.927 232.783 3 1 6 4 1 234.272 107.927 232.783 4 1 6 4 1 131.570 106.934 219.914 5 1 6 1 1 131.570 106.934 219.914 6 1 6 1 1 131.024 82.927 261.214 7 1 6 5 1 131.024 82.927 261.214 8 1 6 5 1 131.024 82.927 261.214 9 1 6 5 1 131.024 82.927 261.214 10 1 6 5 1 234.272 107.927 232.783 1 2 6 4 1 234.272 107.927 232.783 2 2 6 4 1 234.272 107.927 232.783 3 2 6 4 1 234.272 107.927 232.783 4 2 6 4 1 131.570 106.934 219.914 5 2 6 1 1 131.570 106.934 219.914 6 2 6 1 1 131.024 82.927 261.214 7 2 6 5 1 131.024 82.927 261.214 8 2 6 5 1 131.024 82.927 261.214 9 2 6 5 1 131.024 82.927 261.214 10 2 6 5 1 234.272 107.927 232.783 1 3 6 4 1 234.272 107.927 232.783 2 3 6 4 1 234.272 107.927 232.783 3 3 6 4 1 234.272 107.927 232.783 4 3 6 4 1 131.024 82.927 261.214 5 3 6 5 1 131.024 82.927 261.214 6 3 6 5 1 131.024 82.927 261.214 7 3 6 5 1 131.024 82.927 261.214 8 3 6 5 1 131.024 82.927 261.214 9 3 6 5 1 131.024 82.927 261.214 10 3 6 5 1 234.272 107.927 232.783 1 4 6 4 1 234.272 107.927 232.783 2 4 6 4 1 234.272 107.927 232.783 3 4 6 4 1 178.061 37.773 321.494 4 4 6 3 1 178.061 37.773 321.494 5 4 6 3 1 131.024 82.927 261.214 6 4 6 5 1 131.024 82.927 261.214 7 4 6 5 1 131.024 82.927 261.214 8 4 6 5 1 131.024 82.927 261.214 9 4 6 5 1 131.024 82.927 261.214 10 4 6 5 1 178.061 37.773 321.494 1 5 6 3 1 178.061 37.773 321.494 2 5 6 3 1 178.061 37.773 321.494 3 5 6 3 1 178.061 37.773 321.494 4 5 6 3 1 178.061 37.773 321.494 5 5 6 3 1 178.061 37.773 321.494 6 5 6 3 1 131.024 82.927 261.214 7 5 6 5 1 131.024 82.927 261.214 8 5 6 5 1 131.024 82.927 261.214 9 5 6 5 1 131.024 82.927 261.214 10 5 6 5 1 178.061 37.773 321.494 1 6 6 3 1 178.061 37.773 321.494 2 6 6 3 1 178.061 37.773 321.494 3 6 6 3 1 178.061 37.773 321.494 4 6 6 3 1 178.061 37.773 321.494 5 6 6 3 1 178.061 37.773 321.494 6 6 6 3 1 178.061 37.773 321.494 7 6 6 3 1 123.609 63.988 170.189 8 6 6 6 1 123.609 63.988 170.189 9 6 6 6 1 123.609 63.988 170.189 10 6 6 6 1 178.061 37.773 321.494 1 7 6 3 1 178.061 37.773 321.494 2 7 6 3 1 178.061 37.773 321.494 3 7 6 3 1 178.061 37.773 321.494 4 7 6 3 1 178.061 37.773 321.494 5 7 6 3 1 178.061 37.773 321.494 6 7 6 3 1 178.061 37.773 321.494 7 7 6 3 1 123.609 63.988 170.189 8 7 6 6 1 123.609 63.988 170.189 9 7 6 6 1 123.609 63.988 170.189 10 7 6 6 1 178.061 37.773 321.494 1 8 6 3 1 178.061 37.773 321.494 2 8 6 3 1 178.061 37.773 321.494 3 8 6 3 1 178.061 37.773 321.494 4 8 6 3 1 178.061 37.773 321.494 5 8 6 3 1 178.061 37.773 321.494 6 8 6 3 1 178.061 37.773 321.494 7 8 6 3 1 123.609 63.988 170.189 8 8 6 6 1 123.609 63.988 170.189 9 8 6 6 1 123.609 63.988 170.189 10 8 6 6 1 178.061 37.773 321.494 1 9 6 3 1 178.061 37.773 321.494 2 9 6 3 1 178.061 37.773 321.494 3 9 6 3 1 178.061 37.773 321.494 4 9 6 3 1 178.061 37.773 321.494 5 9 6 3 1 178.061 37.773 321.494 6 9 6 3 1 178.061 37.773 321.494 7 9 6 3 1 123.609 63.988 170.189 8 9 6 6 1 123.609 63.988 170.189 9 9 6 6 1 123.609 63.988 170.189 10 9 6 6 1 178.061 37.773 321.494 1 10 6 3 1 178.061 37.773 321.494 2 10 6 3 1 178.061 37.773 321.494 3 10 6 3 1 178.061 37.773 321.494 4 10 6 3 1 178.061 37.773 321.494 5 10 6 3 1 178.061 37.773 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29, 150, 162, 41, 40, 161 28, 152, 31, 30, 151, 163, 42, 41, 162 29, 153, 32, 31, 152, 164, 43, 42, 163 30, 154, 33, 32, 153, 165, 44, 43, 164 31, 156, 35, 34, 155, 167, 46, 45, 166 32, 157, 36, 35, 156, 168, 47, 46, 167 33, 158, 37, 36, 157, 169, 48, 47, 168 34, 159, 38, 37, 158, 170, 49, 48, 169 35, 160, 39, 38, 159, 171, 50, 49, 170 36, 161, 40, 39, 160, 172, 51, 50, 171 37, 162, 41, 40, 161, 173, 52, 51, 172 38, 163, 42, 41, 162, 174, 53, 52, 173 39, 164, 43, 42, 163, 175, 54, 53, 174 40, 165, 44, 43, 164, 176, 55, 54, 175 41, 167, 46, 45, 166, 178, 57, 56, 177 42, 168, 47, 46, 167, 179, 58, 57, 178 43, 169, 48, 47, 168, 180, 59, 58, 179 44, 170, 49, 48, 169, 181, 60, 59, 180 45, 171, 50, 49, 170, 182, 61, 60, 181 46, 172, 51, 50, 171, 183, 62, 61, 182 47, 173, 52, 51, 172, 184, 63, 62, 183 48, 174, 53, 52, 173, 185, 64, 63, 184 49, 175, 54, 53, 174, 186, 65, 64, 185 50, 176, 55, 54, 175, 187, 66, 65, 186 51, 178, 57, 56, 177, 189, 68, 67, 188 52, 179, 58, 57, 178, 190, 69, 68, 189 53, 180, 59, 58, 179, 191, 70, 69, 190 54, 181, 60, 59, 180, 192, 71, 70, 191 55, 182, 61, 60, 181, 193, 72, 71, 192 56, 183, 62, 61, 182, 194, 73, 72, 193 57, 184, 63, 62, 183, 195, 74, 73, 194 58, 185, 64, 63, 184, 196, 75, 74, 195 59, 186, 65, 64, 185, 197, 76, 75, 196 60, 187, 66, 65, 186, 198, 77, 76, 197 61, 189, 68, 67, 188, 200, 79, 78, 199 62, 190, 69, 68, 189, 201, 80, 79, 200 63, 191, 70, 69, 190, 202, 81, 80, 201 64, 192, 71, 70, 191, 203, 82, 81, 202 65, 193, 72, 71, 192, 204, 83, 82, 203 66, 194, 73, 72, 193, 205, 84, 83, 204 67, 195, 74, 73, 194, 206, 85, 84, 205 68, 196, 75, 74, 195, 207, 86, 85, 206 69, 197, 76, 75, 196, 208, 87, 86, 207 70, 198, 77, 76, 197, 209, 88, 87, 208 71, 200, 79, 78, 199, 211, 90, 89, 210 72, 201, 80, 79, 200, 212, 91, 90, 211 73, 202, 81, 80, 201, 213, 92, 91, 212 74, 203, 82, 81, 202, 214, 93, 92, 213 75, 204, 83, 82, 203, 215, 94, 93, 214 76, 205, 84, 83, 204, 216, 95, 94, 215 77, 206, 85, 84, 205, 217, 96, 95, 216 78, 207, 86, 85, 206, 218, 97, 96, 217 79, 208, 87, 86, 207, 219, 98, 97, 218 80, 209, 88, 87, 208, 220, 99, 98, 219 81, 211, 90, 89, 210, 222, 101, 100, 221 82, 212, 91, 90, 211, 223, 102, 101, 222 83, 213, 92, 91, 212, 224, 103, 102, 223 84, 214, 93, 92, 213, 225, 104, 103, 224 85, 215, 94, 93, 214, 226, 105, 104, 225 86, 216, 95, 94, 215, 227, 106, 105, 226 87, 217, 96, 95, 216, 228, 107, 106, 227 88, 218, 97, 96, 217, 229, 108, 107, 228 89, 219, 98, 97, 218, 230, 109, 108, 229 90, 220, 99, 98, 219, 231, 110, 109, 230 91, 222, 101, 100, 221, 233, 112, 111, 232 92, 223, 102, 101, 222, 234, 113, 112, 233 93, 224, 103, 102, 223, 235, 114, 113, 234 94, 225, 104, 103, 224, 236, 115, 114, 235 95, 226, 105, 104, 225, 237, 116, 115, 236 96, 227, 106, 105, 226, 238, 117, 116, 237 97, 228, 107, 106, 227, 239, 118, 117, 238 98, 229, 108, 107, 228, 240, 119, 118, 239 99, 230, 109, 108, 229, 241, 120, 119, 240 100, 231, 110, 109, 230, 242, 121, 120, 241 101, 244, 123, 122, 243, 255, 134, 133, 254 102, 245, 124, 123, 244, 256, 135, 134, 255 103, 246, 125, 124, 245, 257, 136, 135, 256 104, 247, 126, 125, 246, 258, 137, 136, 257 105, 248, 127, 126, 247, 259, 138, 137, 258 106, 249, 128, 127, 248, 260, 139, 138, 259 107, 250, 129, 128, 249, 261, 140, 139, 260 108, 251, 130, 129, 250, 262, 141, 140, 261 109, 252, 131, 130, 251, 263, 142, 141, 262 110, 253, 132, 131, 252, 264, 143, 142, 263 111, 255, 134, 133, 254, 266, 145, 144, 265 112, 256, 135, 134, 255, 267, 146, 145, 266 113, 257, 136, 135, 256, 268, 147, 146, 267 114, 258, 137, 136, 257, 269, 148, 147, 268 115, 259, 138, 137, 258, 270, 149, 148, 269 116, 260, 139, 138, 259, 271, 150, 149, 270 117, 261, 140, 139, 260, 272, 151, 150, 271 118, 262, 141, 140, 261, 273, 152, 151, 272 119, 263, 142, 141, 262, 274, 153, 152, 273 120, 264, 143, 142, 263, 275, 154, 153, 274 121, 266, 145, 144, 265, 277, 156, 155, 276 122, 267, 146, 145, 266, 278, 157, 156, 277 123, 268, 147, 146, 267, 279, 158, 157, 278 124, 269, 148, 147, 268, 280, 159, 158, 279 125, 270, 149, 148, 269, 281, 160, 159, 280 126, 271, 150, 149, 270, 282, 161, 160, 281 127, 272, 151, 150, 271, 283, 162, 161, 282 128, 273, 152, 151, 272, 284, 163, 162, 283 129, 274, 153, 152, 273, 285, 164, 163, 284 130, 275, 154, 153, 274, 286, 165, 164, 285 131, 277, 156, 155, 276, 288, 167, 166, 287 132, 278, 157, 156, 277, 289, 168, 167, 288 133, 279, 158, 157, 278, 290, 169, 168, 289 134, 280, 159, 158, 279, 291, 170, 169, 290 135, 281, 160, 159, 280, 292, 171, 170, 291 136, 282, 161, 160, 281, 293, 172, 171, 292 137, 283, 162, 161, 282, 294, 173, 172, 293 138, 284, 163, 162, 283, 295, 174, 173, 294 139, 285, 164, 163, 284, 296, 175, 174, 295 140, 286, 165, 164, 285, 297, 176, 175, 296 141, 288, 167, 166, 287, 299, 178, 177, 298 142, 289, 168, 167, 288, 300, 179, 178, 299 143, 290, 169, 168, 289, 301, 180, 179, 300 144, 291, 170, 169, 290, 302, 181, 180, 301 145, 292, 171, 170, 291, 303, 182, 181, 302 146, 293, 172, 171, 292, 304, 183, 182, 303 147, 294, 173, 172, 293, 305, 184, 183, 304 148, 295, 174, 173, 294, 306, 185, 184, 305 149, 296, 175, 174, 295, 307, 186, 185, 306 150, 297, 176, 175, 296, 308, 187, 186, 307 151, 299, 178, 177, 298, 310, 189, 188, 309 152, 300, 179, 178, 299, 311, 190, 189, 310 153, 301, 180, 179, 300, 312, 191, 190, 311 154, 302, 181, 180, 301, 313, 192, 191, 312 155, 303, 182, 181, 302, 314, 193, 192, 313 156, 304, 183, 182, 303, 315, 194, 193, 314 157, 305, 184, 183, 304, 316, 195, 194, 315 158, 306, 185, 184, 305, 317, 196, 195, 316 159, 307, 186, 185, 306, 318, 197, 196, 317 160, 308, 187, 186, 307, 319, 198, 197, 318 161, 310, 189, 188, 309, 321, 200, 199, 320 162, 311, 190, 189, 310, 322, 201, 200, 321 163, 312, 191, 190, 311, 323, 202, 201, 322 164, 313, 192, 191, 312, 324, 203, 202, 323 165, 314, 193, 192, 313, 325, 204, 203, 324 166, 315, 194, 193, 314, 326, 205, 204, 325 167, 316, 195, 194, 315, 327, 206, 205, 326 168, 317, 196, 195, 316, 328, 207, 206, 327 169, 318, 197, 196, 317, 329, 208, 207, 328 170, 319, 198, 197, 318, 330, 209, 208, 329 171, 321, 200, 199, 320, 332, 211, 210, 331 172, 322, 201, 200, 321, 333, 212, 211, 332 173, 323, 202, 201, 322, 334, 213, 212, 333 174, 324, 203, 202, 323, 335, 214, 213, 334 175, 325, 204, 203, 324, 336, 215, 214, 335 176, 326, 205, 204, 325, 337, 216, 215, 336 177, 327, 206, 205, 326, 338, 217, 216, 337 178, 328, 207, 206, 327, 339, 218, 217, 338 179, 329, 208, 207, 328, 340, 219, 218, 339 180, 330, 209, 208, 329, 341, 220, 219, 340 181, 332, 211, 210, 331, 343, 222, 221, 342 182, 333, 212, 211, 332, 344, 223, 222, 343 183, 334, 213, 212, 333, 345, 224, 223, 344 184, 335, 214, 213, 334, 346, 225, 224, 345 185, 336, 215, 214, 335, 347, 226, 225, 346 186, 337, 216, 215, 336, 348, 227, 226, 347 187, 338, 217, 216, 337, 349, 228, 227, 348 188, 339, 218, 217, 338, 350, 229, 228, 349 189, 340, 219, 218, 339, 351, 230, 229, 350 190, 341, 220, 219, 340, 352, 231, 230, 351 191, 343, 222, 221, 342, 354, 233, 232, 353 192, 344, 223, 222, 343, 355, 234, 233, 354 193, 345, 224, 223, 344, 356, 235, 234, 355 194, 346, 225, 224, 345, 357, 236, 235, 356 195, 347, 226, 225, 346, 358, 237, 236, 357 196, 348, 227, 226, 347, 359, 238, 237, 358 197, 349, 228, 227, 348, 360, 239, 238, 359 198, 350, 229, 228, 349, 361, 240, 239, 360 199, 351, 230, 229, 350, 362, 241, 240, 361 200, 352, 231, 230, 351, 363, 242, 241, 362 201, 365, 244, 243, 364, 376, 255, 254, 375 202, 366, 245, 244, 365, 377, 256, 255, 376 203, 367, 246, 245, 366, 378, 257, 256, 377 204, 368, 247, 246, 367, 379, 258, 257, 378 205, 369, 248, 247, 368, 380, 259, 258, 379 206, 370, 249, 248, 369, 381, 260, 259, 380 207, 371, 250, 249, 370, 382, 261, 260, 381 208, 372, 251, 250, 371, 383, 262, 261, 382 209, 373, 252, 251, 372, 384, 263, 262, 383 210, 374, 253, 252, 373, 385, 264, 263, 384 211, 376, 255, 254, 375, 387, 266, 265, 386 212, 377, 256, 255, 376, 388, 267, 266, 387 213, 378, 257, 256, 377, 389, 268, 267, 388 214, 379, 258, 257, 378, 390, 269, 268, 389 215, 380, 259, 258, 379, 391, 270, 269, 390 216, 381, 260, 259, 380, 392, 271, 270, 391 217, 382, 261, 260, 381, 393, 272, 271, 392 218, 383, 262, 261, 382, 394, 273, 272, 393 219, 384, 263, 262, 383, 395, 274, 273, 394 220, 385, 264, 263, 384, 396, 275, 274, 395 221, 387, 266, 265, 386, 398, 277, 276, 397 222, 388, 267, 266, 387, 399, 278, 277, 398 223, 389, 268, 267, 388, 400, 279, 278, 399 224, 390, 269, 268, 389, 401, 280, 279, 400 225, 391, 270, 269, 390, 402, 281, 280, 401 226, 392, 271, 270, 391, 403, 282, 281, 402 227, 393, 272, 271, 392, 404, 283, 282, 403 228, 394, 273, 272, 393, 405, 284, 283, 404 229, 395, 274, 273, 394, 406, 285, 284, 405 230, 396, 275, 274, 395, 407, 286, 285, 406 231, 398, 277, 276, 397, 409, 288, 287, 408 232, 399, 278, 277, 398, 410, 289, 288, 409 233, 400, 279, 278, 399, 411, 290, 289, 410 234, 401, 280, 279, 400, 412, 291, 290, 411 235, 402, 281, 280, 401, 413, 292, 291, 412 236, 403, 282, 281, 402, 414, 293, 292, 413 237, 404, 283, 282, 403, 415, 294, 293, 414 238, 405, 284, 283, 404, 416, 295, 294, 415 239, 406, 285, 284, 405, 417, 296, 295, 416 240, 407, 286, 285, 406, 418, 297, 296, 417 241, 409, 288, 287, 408, 420, 299, 298, 419 242, 410, 289, 288, 409, 421, 300, 299, 420 243, 411, 290, 289, 410, 422, 301, 300, 421 244, 412, 291, 290, 411, 423, 302, 301, 422 245, 413, 292, 291, 412, 424, 303, 302, 423 246, 414, 293, 292, 413, 425, 304, 303, 424 247, 415, 294, 293, 414, 426, 305, 304, 425 248, 416, 295, 294, 415, 427, 306, 305, 426 249, 417, 296, 295, 416, 428, 307, 306, 427 250, 418, 297, 296, 417, 429, 308, 307, 428 251, 420, 299, 298, 419, 431, 310, 309, 430 252, 421, 300, 299, 420, 432, 311, 310, 431 253, 422, 301, 300, 421, 433, 312, 311, 432 254, 423, 302, 301, 422, 434, 313, 312, 433 255, 424, 303, 302, 423, 435, 314, 313, 434 256, 425, 304, 303, 424, 436, 315, 314, 435 257, 426, 305, 304, 425, 437, 316, 315, 436 258, 427, 306, 305, 426, 438, 317, 316, 437 259, 428, 307, 306, 427, 439, 318, 317, 438 260, 429, 308, 307, 428, 440, 319, 318, 439 261, 431, 310, 309, 430, 442, 321, 320, 441 262, 432, 311, 310, 431, 443, 322, 321, 442 263, 433, 312, 311, 432, 444, 323, 322, 443 264, 434, 313, 312, 433, 445, 324, 323, 444 265, 435, 314, 313, 434, 446, 325, 324, 445 266, 436, 315, 314, 435, 447, 326, 325, 446 267, 437, 316, 315, 436, 448, 327, 326, 447 268, 438, 317, 316, 437, 449, 328, 327, 448 269, 439, 318, 317, 438, 450, 329, 328, 449 270, 440, 319, 318, 439, 451, 330, 329, 450 271, 442, 321, 320, 441, 453, 332, 331, 452 272, 443, 322, 321, 442, 454, 333, 332, 453 273, 444, 323, 322, 443, 455, 334, 333, 454 274, 445, 324, 323, 444, 456, 335, 334, 455 275, 446, 325, 324, 445, 457, 336, 335, 456 276, 447, 326, 325, 446, 458, 337, 336, 457 277, 448, 327, 326, 447, 459, 338, 337, 458 278, 449, 328, 327, 448, 460, 339, 338, 459 279, 450, 329, 328, 449, 461, 340, 339, 460 280, 451, 330, 329, 450, 462, 341, 340, 461 281, 453, 332, 331, 452, 464, 343, 342, 463 282, 454, 333, 332, 453, 465, 344, 343, 464 283, 455, 334, 333, 454, 466, 345, 344, 465 284, 456, 335, 334, 455, 467, 346, 345, 466 285, 457, 336, 335, 456, 468, 347, 346, 467 286, 458, 337, 336, 457, 469, 348, 347, 468 287, 459, 338, 337, 458, 470, 349, 348, 469 288, 460, 339, 338, 459, 471, 350, 349, 470 289, 461, 340, 339, 460, 472, 351, 350, 471 290, 462, 341, 340, 461, 473, 352, 351, 472 291, 464, 343, 342, 463, 475, 354, 353, 474 292, 465, 344, 343, 464, 476, 355, 354, 475 293, 466, 345, 344, 465, 477, 356, 355, 476 294, 467, 346, 345, 466, 478, 357, 356, 477 295, 468, 347, 346, 467, 479, 358, 357, 478 296, 469, 348, 347, 468, 480, 359, 358, 479 297, 470, 349, 348, 469, 481, 360, 359, 480 298, 471, 350, 349, 470, 482, 361, 360, 481 299, 472, 351, 350, 471, 483, 362, 361, 482 300, 473, 352, 351, 472, 484, 363, 362, 483 301, 486, 365, 364, 485, 497, 376, 375, 496 302, 487, 366, 365, 486, 498, 377, 376, 497 303, 488, 367, 366, 487, 499, 378, 377, 498 304, 489, 368, 367, 488, 500, 379, 378, 499 305, 490, 369, 368, 489, 501, 380, 379, 500 306, 491, 370, 369, 490, 502, 381, 380, 501 307, 492, 371, 370, 491, 503, 382, 381, 502 308, 493, 372, 371, 492, 504, 383, 382, 503 309, 494, 373, 372, 493, 505, 384, 383, 504 310, 495, 374, 373, 494, 506, 385, 384, 505 311, 497, 376, 375, 496, 508, 387, 386, 507 312, 498, 377, 376, 497, 509, 388, 387, 508 313, 499, 378, 377, 498, 510, 389, 388, 509 314, 500, 379, 378, 499, 511, 390, 389, 510 315, 501, 380, 379, 500, 512, 391, 390, 511 316, 502, 381, 380, 501, 513, 392, 391, 512 317, 503, 382, 381, 502, 514, 393, 392, 513 318, 504, 383, 382, 503, 515, 394, 393, 514 319, 505, 384, 383, 504, 516, 395, 394, 515 320, 506, 385, 384, 505, 517, 396, 395, 516 321, 508, 387, 386, 507, 519, 398, 397, 518 322, 509, 388, 387, 508, 520, 399, 398, 519 323, 510, 389, 388, 509, 521, 400, 399, 520 324, 511, 390, 389, 510, 522, 401, 400, 521 325, 512, 391, 390, 511, 523, 402, 401, 522 326, 513, 392, 391, 512, 524, 403, 402, 523 327, 514, 393, 392, 513, 525, 404, 403, 524 328, 515, 394, 393, 514, 526, 405, 404, 525 329, 516, 395, 394, 515, 527, 406, 405, 526 330, 517, 396, 395, 516, 528, 407, 406, 527 331, 519, 398, 397, 518, 530, 409, 408, 529 332, 520, 399, 398, 519, 531, 410, 409, 530 333, 521, 400, 399, 520, 532, 411, 410, 531 334, 522, 401, 400, 521, 533, 412, 411, 532 335, 523, 402, 401, 522, 534, 413, 412, 533 336, 524, 403, 402, 523, 535, 414, 413, 534 337, 525, 404, 403, 524, 536, 415, 414, 535 338, 526, 405, 404, 525, 537, 416, 415, 536 339, 527, 406, 405, 526, 538, 417, 416, 537 340, 528, 407, 406, 527, 539, 418, 417, 538 341, 530, 409, 408, 529, 541, 420, 419, 540 342, 531, 410, 409, 530, 542, 421, 420, 541 343, 532, 411, 410, 531, 543, 422, 421, 542 344, 533, 412, 411, 532, 544, 423, 422, 543 345, 534, 413, 412, 533, 545, 424, 423, 544 346, 535, 414, 413, 534, 546, 425, 424, 545 347, 536, 415, 414, 535, 547, 426, 425, 546 348, 537, 416, 415, 536, 548, 427, 426, 547 349, 538, 417, 416, 537, 549, 428, 427, 548 350, 539, 418, 417, 538, 550, 429, 428, 549 351, 541, 420, 419, 540, 552, 431, 430, 551 352, 542, 421, 420, 541, 553, 432, 431, 552 353, 543, 422, 421, 542, 554, 433, 432, 553 354, 544, 423, 422, 543, 555, 434, 433, 554 355, 545, 424, 423, 544, 556, 435, 434, 555 356, 546, 425, 424, 545, 557, 436, 435, 556 357, 547, 426, 425, 546, 558, 437, 436, 557 358, 548, 427, 426, 547, 559, 438, 437, 558 359, 549, 428, 427, 548, 560, 439, 438, 559 360, 550, 429, 428, 549, 561, 440, 439, 560 361, 552, 431, 430, 551, 563, 442, 441, 562 362, 553, 432, 431, 552, 564, 443, 442, 563 363, 554, 433, 432, 553, 565, 444, 443, 564 364, 555, 434, 433, 554, 566, 445, 444, 565 365, 556, 435, 434, 555, 567, 446, 445, 566 366, 557, 436, 435, 556, 568, 447, 446, 567 367, 558, 437, 436, 557, 569, 448, 447, 568 368, 559, 438, 437, 558, 570, 449, 448, 569 369, 560, 439, 438, 559, 571, 450, 449, 570 370, 561, 440, 439, 560, 572, 451, 450, 571 371, 563, 442, 441, 562, 574, 453, 452, 573 372, 564, 443, 442, 563, 575, 454, 453, 574 373, 565, 444, 443, 564, 576, 455, 454, 575 374, 566, 445, 444, 565, 577, 456, 455, 576 375, 567, 446, 445, 566, 578, 457, 456, 577 376, 568, 447, 446, 567, 579, 458, 457, 578 377, 569, 448, 447, 568, 580, 459, 458, 579 378, 570, 449, 448, 569, 581, 460, 459, 580 379, 571, 450, 449, 570, 582, 461, 460, 581 380, 572, 451, 450, 571, 583, 462, 461, 582 381, 574, 453, 452, 573, 585, 464, 463, 584 382, 575, 454, 453, 574, 586, 465, 464, 585 383, 576, 455, 454, 575, 587, 466, 465, 586 384, 577, 456, 455, 576, 588, 467, 466, 587 385, 578, 457, 456, 577, 589, 468, 467, 588 386, 579, 458, 457, 578, 590, 469, 468, 589 387, 580, 459, 458, 579, 591, 470, 469, 590 388, 581, 460, 459, 580, 592, 471, 470, 591 389, 582, 461, 460, 581, 593, 472, 471, 592 390, 583, 462, 461, 582, 594, 473, 472, 593 391, 585, 464, 463, 584, 596, 475, 474, 595 392, 586, 465, 464, 585, 597, 476, 475, 596 393, 587, 466, 465, 586, 598, 477, 476, 597 394, 588, 467, 466, 587, 599, 478, 477, 598 395, 589, 468, 467, 588, 600, 479, 478, 599 396, 590, 469, 468, 589, 601, 480, 479, 600 397, 591, 470, 469, 590, 602, 481, 480, 601 398, 592, 471, 470, 591, 603, 482, 481, 602 399, 593, 472, 471, 592, 604, 483, 482, 603 400, 594, 473, 472, 593, 605, 484, 483, 604 401, 607, 486, 485, 606, 618, 497, 496, 617 402, 608, 487, 486, 607, 619, 498, 497, 618 403, 609, 488, 487, 608, 620, 499, 498, 619 404, 610, 489, 488, 609, 621, 500, 499, 620 405, 611, 490, 489, 610, 622, 501, 500, 621 406, 612, 491, 490, 611, 623, 502, 501, 622 407, 613, 492, 491, 612, 624, 503, 502, 623 408, 614, 493, 492, 613, 625, 504, 503, 624 409, 615, 494, 493, 614, 626, 505, 504, 625 410, 616, 495, 494, 615, 627, 506, 505, 626 411, 618, 497, 496, 617, 629, 508, 507, 628 412, 619, 498, 497, 618, 630, 509, 508, 629 413, 620, 499, 498, 619, 631, 510, 509, 630 414, 621, 500, 499, 620, 632, 511, 510, 631 415, 622, 501, 500, 621, 633, 512, 511, 632 416, 623, 502, 501, 622, 634, 513, 512, 633 417, 624, 503, 502, 623, 635, 514, 513, 634 418, 625, 504, 503, 624, 636, 515, 514, 635 419, 626, 505, 504, 625, 637, 516, 515, 636 420, 627, 506, 505, 626, 638, 517, 516, 637 421, 629, 508, 507, 628, 640, 519, 518, 639 422, 630, 509, 508, 629, 641, 520, 519, 640 423, 631, 510, 509, 630, 642, 521, 520, 641 424, 632, 511, 510, 631, 643, 522, 521, 642 425, 633, 512, 511, 632, 644, 523, 522, 643 426, 634, 513, 512, 633, 645, 524, 523, 644 427, 635, 514, 513, 634, 646, 525, 524, 645 428, 636, 515, 514, 635, 647, 526, 525, 646 429, 637, 516, 515, 636, 648, 527, 526, 647 430, 638, 517, 516, 637, 649, 528, 527, 648 431, 640, 519, 518, 639, 651, 530, 529, 650 432, 641, 520, 519, 640, 652, 531, 530, 651 433, 642, 521, 520, 641, 653, 532, 531, 652 434, 643, 522, 521, 642, 654, 533, 532, 653 435, 644, 523, 522, 643, 655, 534, 533, 654 436, 645, 524, 523, 644, 656, 535, 534, 655 437, 646, 525, 524, 645, 657, 536, 535, 656 438, 647, 526, 525, 646, 658, 537, 536, 657 439, 648, 527, 526, 647, 659, 538, 537, 658 440, 649, 528, 527, 648, 660, 539, 538, 659 441, 651, 530, 529, 650, 662, 541, 540, 661 442, 652, 531, 530, 651, 663, 542, 541, 662 443, 653, 532, 531, 652, 664, 543, 542, 663 444, 654, 533, 532, 653, 665, 544, 543, 664 445, 655, 534, 533, 654, 666, 545, 544, 665 446, 656, 535, 534, 655, 667, 546, 545, 666 447, 657, 536, 535, 656, 668, 547, 546, 667 448, 658, 537, 536, 657, 669, 548, 547, 668 449, 659, 538, 537, 658, 670, 549, 548, 669 450, 660, 539, 538, 659, 671, 550, 549, 670 451, 662, 541, 540, 661, 673, 552, 551, 672 452, 663, 542, 541, 662, 674, 553, 552, 673 453, 664, 543, 542, 663, 675, 554, 553, 674 454, 665, 544, 543, 664, 676, 555, 554, 675 455, 666, 545, 544, 665, 677, 556, 555, 676 456, 667, 546, 545, 666, 678, 557, 556, 677 457, 668, 547, 546, 667, 679, 558, 557, 678 458, 669, 548, 547, 668, 680, 559, 558, 679 459, 670, 549, 548, 669, 681, 560, 559, 680 460, 671, 550, 549, 670, 682, 561, 560, 681 461, 673, 552, 551, 672, 684, 563, 562, 683 462, 674, 553, 552, 673, 685, 564, 563, 684 463, 675, 554, 553, 674, 686, 565, 564, 685 464, 676, 555, 554, 675, 687, 566, 565, 686 465, 677, 556, 555, 676, 688, 567, 566, 687 466, 678, 557, 556, 677, 689, 568, 567, 688 467, 679, 558, 557, 678, 690, 569, 568, 689 468, 680, 559, 558, 679, 691, 570, 569, 690 469, 681, 560, 559, 680, 692, 571, 570, 691 470, 682, 561, 560, 681, 693, 572, 571, 692 471, 684, 563, 562, 683, 695, 574, 573, 694 472, 685, 564, 563, 684, 696, 575, 574, 695 473, 686, 565, 564, 685, 697, 576, 575, 696 474, 687, 566, 565, 686, 698, 577, 576, 697 475, 688, 567, 566, 687, 699, 578, 577, 698 476, 689, 568, 567, 688, 700, 579, 578, 699 477, 690, 569, 568, 689, 701, 580, 579, 700 478, 691, 570, 569, 690, 702, 581, 580, 701 479, 692, 571, 570, 691, 703, 582, 581, 702 480, 693, 572, 571, 692, 704, 583, 582, 703 481, 695, 574, 573, 694, 706, 585, 584, 705 482, 696, 575, 574, 695, 707, 586, 585, 706 483, 697, 576, 575, 696, 708, 587, 586, 707 484, 698, 577, 576, 697, 709, 588, 587, 708 485, 699, 578, 577, 698, 710, 589, 588, 709 486, 700, 579, 578, 699, 711, 590, 589, 710 487, 701, 580, 579, 700, 712, 591, 590, 711 488, 702, 581, 580, 701, 713, 592, 591, 712 489, 703, 582, 581, 702, 714, 593, 592, 713 490, 704, 583, 582, 703, 715, 594, 593, 714 491, 706, 585, 584, 705, 717, 596, 595, 716 492, 707, 586, 585, 706, 718, 597, 596, 717 493, 708, 587, 586, 707, 719, 598, 597, 718 494, 709, 588, 587, 708, 720, 599, 598, 719 495, 710, 589, 588, 709, 721, 600, 599, 720 496, 711, 590, 589, 710, 722, 601, 600, 721 497, 712, 591, 590, 711, 723, 602, 601, 722 498, 713, 592, 591, 712, 724, 603, 602, 723 499, 714, 593, 592, 713, 725, 604, 603, 724 500, 715, 594, 593, 714, 726, 605, 604, 725 501, 728, 607, 606, 727, 739, 618, 617, 738 502, 729, 608, 607, 728, 740, 619, 618, 739 503, 730, 609, 608, 729, 741, 620, 619, 740 504, 731, 610, 609, 730, 742, 621, 620, 741 505, 732, 611, 610, 731, 743, 622, 621, 742 506, 733, 612, 611, 732, 744, 623, 622, 743 507, 734, 613, 612, 733, 745, 624, 623, 744 508, 735, 614, 613, 734, 746, 625, 624, 745 509, 736, 615, 614, 735, 747, 626, 625, 746 510, 737, 616, 615, 736, 748, 627, 626, 747 511, 739, 618, 617, 738, 750, 629, 628, 749 512, 740, 619, 618, 739, 751, 630, 629, 750 513, 741, 620, 619, 740, 752, 631, 630, 751 514, 742, 621, 620, 741, 753, 632, 631, 752 515, 743, 622, 621, 742, 754, 633, 632, 753 516, 744, 623, 622, 743, 755, 634, 633, 754 517, 745, 624, 623, 744, 756, 635, 634, 755 518, 746, 625, 624, 745, 757, 636, 635, 756 519, 747, 626, 625, 746, 758, 637, 636, 757 520, 748, 627, 626, 747, 759, 638, 637, 758 521, 750, 629, 628, 749, 761, 640, 639, 760 522, 751, 630, 629, 750, 762, 641, 640, 761 523, 752, 631, 630, 751, 763, 642, 641, 762 524, 753, 632, 631, 752, 764, 643, 642, 763 525, 754, 633, 632, 753, 765, 644, 643, 764 526, 755, 634, 633, 754, 766, 645, 644, 765 527, 756, 635, 634, 755, 767, 646, 645, 766 528, 757, 636, 635, 756, 768, 647, 646, 767 529, 758, 637, 636, 757, 769, 648, 647, 768 530, 759, 638, 637, 758, 770, 649, 648, 769 531, 761, 640, 639, 760, 772, 651, 650, 771 532, 762, 641, 640, 761, 773, 652, 651, 772 533, 763, 642, 641, 762, 774, 653, 652, 773 534, 764, 643, 642, 763, 775, 654, 653, 774 535, 765, 644, 643, 764, 776, 655, 654, 775 536, 766, 645, 644, 765, 777, 656, 655, 776 537, 767, 646, 645, 766, 778, 657, 656, 777 538, 768, 647, 646, 767, 779, 658, 657, 778 539, 769, 648, 647, 768, 780, 659, 658, 779 540, 770, 649, 648, 769, 781, 660, 659, 780 541, 772, 651, 650, 771, 783, 662, 661, 782 542, 773, 652, 651, 772, 784, 663, 662, 783 543, 774, 653, 652, 773, 785, 664, 663, 784 544, 775, 654, 653, 774, 786, 665, 664, 785 545, 776, 655, 654, 775, 787, 666, 665, 786 546, 777, 656, 655, 776, 788, 667, 666, 787 547, 778, 657, 656, 777, 789, 668, 667, 788 548, 779, 658, 657, 778, 790, 669, 668, 789 549, 780, 659, 658, 779, 791, 670, 669, 790 550, 781, 660, 659, 780, 792, 671, 670, 791 551, 783, 662, 661, 782, 794, 673, 672, 793 552, 784, 663, 662, 783, 795, 674, 673, 794 553, 785, 664, 663, 784, 796, 675, 674, 795 554, 786, 665, 664, 785, 797, 676, 675, 796 555, 787, 666, 665, 786, 798, 677, 676, 797 556, 788, 667, 666, 787, 799, 678, 677, 798 557, 789, 668, 667, 788, 800, 679, 678, 799 558, 790, 669, 668, 789, 801, 680, 679, 800 559, 791, 670, 669, 790, 802, 681, 680, 801 560, 792, 671, 670, 791, 803, 682, 681, 802 561, 794, 673, 672, 793, 805, 684, 683, 804 562, 795, 674, 673, 794, 806, 685, 684, 805 563, 796, 675, 674, 795, 807, 686, 685, 806 564, 797, 676, 675, 796, 808, 687, 686, 807 565, 798, 677, 676, 797, 809, 688, 687, 808 566, 799, 678, 677, 798, 810, 689, 688, 809 567, 800, 679, 678, 799, 811, 690, 689, 810 568, 801, 680, 679, 800, 812, 691, 690, 811 569, 802, 681, 680, 801, 813, 692, 691, 812 570, 803, 682, 681, 802, 814, 693, 692, 813 571, 805, 684, 683, 804, 816, 695, 694, 815 572, 806, 685, 684, 805, 817, 696, 695, 816 573, 807, 686, 685, 806, 818, 697, 696, 817 574, 808, 687, 686, 807, 819, 698, 697, 818 575, 809, 688, 687, 808, 820, 699, 698, 819 576, 810, 689, 688, 809, 821, 700, 699, 820 577, 811, 690, 689, 810, 822, 701, 700, 821 578, 812, 691, 690, 811, 823, 702, 701, 822 579, 813, 692, 691, 812, 824, 703, 702, 823 580, 814, 693, 692, 813, 825, 704, 703, 824 581, 816, 695, 694, 815, 827, 706, 705, 826 582, 817, 696, 695, 816, 828, 707, 706, 827 583, 818, 697, 696, 817, 829, 708, 707, 828 584, 819, 698, 697, 818, 830, 709, 708, 829 585, 820, 699, 698, 819, 831, 710, 709, 830 586, 821, 700, 699, 820, 832, 711, 710, 831 587, 822, 701, 700, 821, 833, 712, 711, 832 588, 823, 702, 701, 822, 834, 713, 712, 833 589, 824, 703, 702, 823, 835, 714, 713, 834 590, 825, 704, 703, 824, 836, 715, 714, 835 591, 827, 706, 705, 826, 838, 717, 716, 837 592, 828, 707, 706, 827, 839, 718, 717, 838 593, 829, 708, 707, 828, 840, 719, 718, 839 594, 830, 709, 708, 829, 841, 720, 719, 840 595, 831, 710, 709, 830, 842, 721, 720, 841 596, 832, 711, 710, 831, 843, 722, 721, 842 597, 833, 712, 711, 832, 844, 723, 722, 843 598, 834, 713, 712, 833, 845, 724, 723, 844 599, 835, 714, 713, 834, 846, 725, 724, 845 600, 836, 715, 714, 835, 847, 726, 725, 846 601, 849, 728, 727, 848, 860, 739, 738, 859 602, 850, 729, 728, 849, 861, 740, 739, 860 603, 851, 730, 729, 850, 862, 741, 740, 861 604, 852, 731, 730, 851, 863, 742, 741, 862 605, 853, 732, 731, 852, 864, 743, 742, 863 606, 854, 733, 732, 853, 865, 744, 743, 864 607, 855, 734, 733, 854, 866, 745, 744, 865 608, 856, 735, 734, 855, 867, 746, 745, 866 609, 857, 736, 735, 856, 868, 747, 746, 867 610, 858, 737, 736, 857, 869, 748, 747, 868 611, 860, 739, 738, 859, 871, 750, 749, 870 612, 861, 740, 739, 860, 872, 751, 750, 871 613, 862, 741, 740, 861, 873, 752, 751, 872 614, 863, 742, 741, 862, 874, 753, 752, 873 615, 864, 743, 742, 863, 875, 754, 753, 874 616, 865, 744, 743, 864, 876, 755, 754, 875 617, 866, 745, 744, 865, 877, 756, 755, 876 618, 867, 746, 745, 866, 878, 757, 756, 877 619, 868, 747, 746, 867, 879, 758, 757, 878 620, 869, 748, 747, 868, 880, 759, 758, 879 621, 871, 750, 749, 870, 882, 761, 760, 881 622, 872, 751, 750, 871, 883, 762, 761, 882 623, 873, 752, 751, 872, 884, 763, 762, 883 624, 874, 753, 752, 873, 885, 764, 763, 884 625, 875, 754, 753, 874, 886, 765, 764, 885 626, 876, 755, 754, 875, 887, 766, 765, 886 627, 877, 756, 755, 876, 888, 767, 766, 887 628, 878, 757, 756, 877, 889, 768, 767, 888 629, 879, 758, 757, 878, 890, 769, 768, 889 630, 880, 759, 758, 879, 891, 770, 769, 890 631, 882, 761, 760, 881, 893, 772, 771, 892 632, 883, 762, 761, 882, 894, 773, 772, 893 633, 884, 763, 762, 883, 895, 774, 773, 894 634, 885, 764, 763, 884, 896, 775, 774, 895 635, 886, 765, 764, 885, 897, 776, 775, 896 636, 887, 766, 765, 886, 898, 777, 776, 897 637, 888, 767, 766, 887, 899, 778, 777, 898 638, 889, 768, 767, 888, 900, 779, 778, 899 639, 890, 769, 768, 889, 901, 780, 779, 900 640, 891, 770, 769, 890, 902, 781, 780, 901 641, 893, 772, 771, 892, 904, 783, 782, 903 642, 894, 773, 772, 893, 905, 784, 783, 904 643, 895, 774, 773, 894, 906, 785, 784, 905 644, 896, 775, 774, 895, 907, 786, 785, 906 645, 897, 776, 775, 896, 908, 787, 786, 907 646, 898, 777, 776, 897, 909, 788, 787, 908 647, 899, 778, 777, 898, 910, 789, 788, 909 648, 900, 779, 778, 899, 911, 790, 789, 910 649, 901, 780, 779, 900, 912, 791, 790, 911 650, 902, 781, 780, 901, 913, 792, 791, 912 651, 904, 783, 782, 903, 915, 794, 793, 914 652, 905, 784, 783, 904, 916, 795, 794, 915 653, 906, 785, 784, 905, 917, 796, 795, 916 654, 907, 786, 785, 906, 918, 797, 796, 917 655, 908, 787, 786, 907, 919, 798, 797, 918 656, 909, 788, 787, 908, 920, 799, 798, 919 657, 910, 789, 788, 909, 921, 800, 799, 920 658, 911, 790, 789, 910, 922, 801, 800, 921 659, 912, 791, 790, 911, 923, 802, 801, 922 660, 913, 792, 791, 912, 924, 803, 802, 923 661, 915, 794, 793, 914, 926, 805, 804, 925 662, 916, 795, 794, 915, 927, 806, 805, 926 663, 917, 796, 795, 916, 928, 807, 806, 927 664, 918, 797, 796, 917, 929, 808, 807, 928 665, 919, 798, 797, 918, 930, 809, 808, 929 666, 920, 799, 798, 919, 931, 810, 809, 930 667, 921, 800, 799, 920, 932, 811, 810, 931 668, 922, 801, 800, 921, 933, 812, 811, 932 669, 923, 802, 801, 922, 934, 813, 812, 933 670, 924, 803, 802, 923, 935, 814, 813, 934 671, 926, 805, 804, 925, 937, 816, 815, 936 672, 927, 806, 805, 926, 938, 817, 816, 937 673, 928, 807, 806, 927, 939, 818, 817, 938 674, 929, 808, 807, 928, 940, 819, 818, 939 675, 930, 809, 808, 929, 941, 820, 819, 940 676, 931, 810, 809, 930, 942, 821, 820, 941 677, 932, 811, 810, 931, 943, 822, 821, 942 678, 933, 812, 811, 932, 944, 823, 822, 943 679, 934, 813, 812, 933, 945, 824, 823, 944 680, 935, 814, 813, 934, 946, 825, 824, 945 681, 937, 816, 815, 936, 948, 827, 826, 947 682, 938, 817, 816, 937, 949, 828, 827, 948 683, 939, 818, 817, 938, 950, 829, 828, 949 684, 940, 819, 818, 939, 951, 830, 829, 950 685, 941, 820, 819, 940, 952, 831, 830, 951 686, 942, 821, 820, 941, 953, 832, 831, 952 687, 943, 822, 821, 942, 954, 833, 832, 953 688, 944, 823, 822, 943, 955, 834, 833, 954 689, 945, 824, 823, 944, 956, 835, 834, 955 690, 946, 825, 824, 945, 957, 836, 835, 956 691, 948, 827, 826, 947, 959, 838, 837, 958 692, 949, 828, 827, 948, 960, 839, 838, 959 693, 950, 829, 828, 949, 961, 840, 839, 960 694, 951, 830, 829, 950, 962, 841, 840, 961 695, 952, 831, 830, 951, 963, 842, 841, 962 696, 953, 832, 831, 952, 964, 843, 842, 963 697, 954, 833, 832, 953, 965, 844, 843, 964 698, 955, 834, 833, 954, 966, 845, 844, 965 699, 956, 835, 834, 955, 967, 846, 845, 966 700, 957, 836, 835, 956, 968, 847, 846, 967 701, 970, 849, 848, 969, 981, 860, 859, 980 702, 971, 850, 849, 970, 982, 861, 860, 981 703, 972, 851, 850, 971, 983, 862, 861, 982 704, 973, 852, 851, 972, 984, 863, 862, 983 705, 974, 853, 852, 973, 985, 864, 863, 984 706, 975, 854, 853, 974, 986, 865, 864, 985 707, 976, 855, 854, 975, 987, 866, 865, 986 708, 977, 856, 855, 976, 988, 867, 866, 987 709, 978, 857, 856, 977, 989, 868, 867, 988 710, 979, 858, 857, 978, 990, 869, 868, 989 711, 981, 860, 859, 980, 992, 871, 870, 991 712, 982, 861, 860, 981, 993, 872, 871, 992 713, 983, 862, 861, 982, 994, 873, 872, 993 714, 984, 863, 862, 983, 995, 874, 873, 994 715, 985, 864, 863, 984, 996, 875, 874, 995 716, 986, 865, 864, 985, 997, 876, 875, 996 717, 987, 866, 865, 986, 998, 877, 876, 997 718, 988, 867, 866, 987, 999, 878, 877, 998 719, 989, 868, 867, 988, 1000, 879, 878, 999 720, 990, 869, 868, 989, 1001, 880, 879, 1000 721, 992, 871, 870, 991, 1003, 882, 881, 1002 722, 993, 872, 871, 992, 1004, 883, 882, 1003 723, 994, 873, 872, 993, 1005, 884, 883, 1004 724, 995, 874, 873, 994, 1006, 885, 884, 1005 725, 996, 875, 874, 995, 1007, 886, 885, 1006 726, 997, 876, 875, 996, 1008, 887, 886, 1007 727, 998, 877, 876, 997, 1009, 888, 887, 1008 728, 999, 878, 877, 998, 1010, 889, 888, 1009 729, 1000, 879, 878, 999, 1011, 890, 889, 1010 730, 1001, 880, 879, 1000, 1012, 891, 890, 1011 731, 1003, 882, 881, 1002, 1014, 893, 892, 1013 732, 1004, 883, 882, 1003, 1015, 894, 893, 1014 733, 1005, 884, 883, 1004, 1016, 895, 894, 1015 734, 1006, 885, 884, 1005, 1017, 896, 895, 1016 735, 1007, 886, 885, 1006, 1018, 897, 896, 1017 736, 1008, 887, 886, 1007, 1019, 898, 897, 1018 737, 1009, 888, 887, 1008, 1020, 899, 898, 1019 738, 1010, 889, 888, 1009, 1021, 900, 899, 1020 739, 1011, 890, 889, 1010, 1022, 901, 900, 1021 740, 1012, 891, 890, 1011, 1023, 902, 901, 1022 741, 1014, 893, 892, 1013, 1025, 904, 903, 1024 742, 1015, 894, 893, 1014, 1026, 905, 904, 1025 743, 1016, 895, 894, 1015, 1027, 906, 905, 1026 744, 1017, 896, 895, 1016, 1028, 907, 906, 1027 745, 1018, 897, 896, 1017, 1029, 908, 907, 1028 746, 1019, 898, 897, 1018, 1030, 909, 908, 1029 747, 1020, 899, 898, 1019, 1031, 910, 909, 1030 748, 1021, 900, 899, 1020, 1032, 911, 910, 1031 749, 1022, 901, 900, 1021, 1033, 912, 911, 1032 750, 1023, 902, 901, 1022, 1034, 913, 912, 1033 751, 1025, 904, 903, 1024, 1036, 915, 914, 1035 752, 1026, 905, 904, 1025, 1037, 916, 915, 1036 753, 1027, 906, 905, 1026, 1038, 917, 916, 1037 754, 1028, 907, 906, 1027, 1039, 918, 917, 1038 755, 1029, 908, 907, 1028, 1040, 919, 918, 1039 756, 1030, 909, 908, 1029, 1041, 920, 919, 1040 757, 1031, 910, 909, 1030, 1042, 921, 920, 1041 758, 1032, 911, 910, 1031, 1043, 922, 921, 1042 759, 1033, 912, 911, 1032, 1044, 923, 922, 1043 760, 1034, 913, 912, 1033, 1045, 924, 923, 1044 761, 1036, 915, 914, 1035, 1047, 926, 925, 1046 762, 1037, 916, 915, 1036, 1048, 927, 926, 1047 763, 1038, 917, 916, 1037, 1049, 928, 927, 1048 764, 1039, 918, 917, 1038, 1050, 929, 928, 1049 765, 1040, 919, 918, 1039, 1051, 930, 929, 1050 766, 1041, 920, 919, 1040, 1052, 931, 930, 1051 767, 1042, 921, 920, 1041, 1053, 932, 931, 1052 768, 1043, 922, 921, 1042, 1054, 933, 932, 1053 769, 1044, 923, 922, 1043, 1055, 934, 933, 1054 770, 1045, 924, 923, 1044, 1056, 935, 934, 1055 771, 1047, 926, 925, 1046, 1058, 937, 936, 1057 772, 1048, 927, 926, 1047, 1059, 938, 937, 1058 773, 1049, 928, 927, 1048, 1060, 939, 938, 1059 774, 1050, 929, 928, 1049, 1061, 940, 939, 1060 775, 1051, 930, 929, 1050, 1062, 941, 940, 1061 776, 1052, 931, 930, 1051, 1063, 942, 941, 1062 777, 1053, 932, 931, 1052, 1064, 943, 942, 1063 778, 1054, 933, 932, 1053, 1065, 944, 943, 1064 779, 1055, 934, 933, 1054, 1066, 945, 944, 1065 780, 1056, 935, 934, 1055, 1067, 946, 945, 1066 781, 1058, 937, 936, 1057, 1069, 948, 947, 1068 782, 1059, 938, 937, 1058, 1070, 949, 948, 1069 783, 1060, 939, 938, 1059, 1071, 950, 949, 1070 784, 1061, 940, 939, 1060, 1072, 951, 950, 1071 785, 1062, 941, 940, 1061, 1073, 952, 951, 1072 786, 1063, 942, 941, 1062, 1074, 953, 952, 1073 787, 1064, 943, 942, 1063, 1075, 954, 953, 1074 788, 1065, 944, 943, 1064, 1076, 955, 954, 1075 789, 1066, 945, 944, 1065, 1077, 956, 955, 1076 790, 1067, 946, 945, 1066, 1078, 957, 956, 1077 791, 1069, 948, 947, 1068, 1080, 959, 958, 1079 792, 1070, 949, 948, 1069, 1081, 960, 959, 1080 793, 1071, 950, 949, 1070, 1082, 961, 960, 1081 794, 1072, 951, 950, 1071, 1083, 962, 961, 1082 795, 1073, 952, 951, 1072, 1084, 963, 962, 1083 796, 1074, 953, 952, 1073, 1085, 964, 963, 1084 797, 1075, 954, 953, 1074, 1086, 965, 964, 1085 798, 1076, 955, 954, 1075, 1087, 966, 965, 1086 799, 1077, 956, 955, 1076, 1088, 967, 966, 1087 800, 1078, 957, 956, 1077, 1089, 968, 967, 1088 801, 1091, 970, 969, 1090, 1102, 981, 980, 1101 802, 1092, 971, 970, 1091, 1103, 982, 981, 1102 803, 1093, 972, 971, 1092, 1104, 983, 982, 1103 804, 1094, 973, 972, 1093, 1105, 984, 983, 1104 805, 1095, 974, 973, 1094, 1106, 985, 984, 1105 806, 1096, 975, 974, 1095, 1107, 986, 985, 1106 807, 1097, 976, 975, 1096, 1108, 987, 986, 1107 808, 1098, 977, 976, 1097, 1109, 988, 987, 1108 809, 1099, 978, 977, 1098, 1110, 989, 988, 1109 810, 1100, 979, 978, 1099, 1111, 990, 989, 1110 811, 1102, 981, 980, 1101, 1113, 992, 991, 1112 812, 1103, 982, 981, 1102, 1114, 993, 992, 1113 813, 1104, 983, 982, 1103, 1115, 994, 993, 1114 814, 1105, 984, 983, 1104, 1116, 995, 994, 1115 815, 1106, 985, 984, 1105, 1117, 996, 995, 1116 816, 1107, 986, 985, 1106, 1118, 997, 996, 1117 817, 1108, 987, 986, 1107, 1119, 998, 997, 1118 818, 1109, 988, 987, 1108, 1120, 999, 998, 1119 819, 1110, 989, 988, 1109, 1121, 1000, 999, 1120 820, 1111, 990, 989, 1110, 1122, 1001, 1000, 1121 821, 1113, 992, 991, 1112, 1124, 1003, 1002, 1123 822, 1114, 993, 992, 1113, 1125, 1004, 1003, 1124 823, 1115, 994, 993, 1114, 1126, 1005, 1004, 1125 824, 1116, 995, 994, 1115, 1127, 1006, 1005, 1126 825, 1117, 996, 995, 1116, 1128, 1007, 1006, 1127 826, 1118, 997, 996, 1117, 1129, 1008, 1007, 1128 827, 1119, 998, 997, 1118, 1130, 1009, 1008, 1129 828, 1120, 999, 998, 1119, 1131, 1010, 1009, 1130 829, 1121, 1000, 999, 1120, 1132, 1011, 1010, 1131 830, 1122, 1001, 1000, 1121, 1133, 1012, 1011, 1132 831, 1124, 1003, 1002, 1123, 1135, 1014, 1013, 1134 832, 1125, 1004, 1003, 1124, 1136, 1015, 1014, 1135 833, 1126, 1005, 1004, 1125, 1137, 1016, 1015, 1136 834, 1127, 1006, 1005, 1126, 1138, 1017, 1016, 1137 835, 1128, 1007, 1006, 1127, 1139, 1018, 1017, 1138 836, 1129, 1008, 1007, 1128, 1140, 1019, 1018, 1139 837, 1130, 1009, 1008, 1129, 1141, 1020, 1019, 1140 838, 1131, 1010, 1009, 1130, 1142, 1021, 1020, 1141 839, 1132, 1011, 1010, 1131, 1143, 1022, 1021, 1142 840, 1133, 1012, 1011, 1132, 1144, 1023, 1022, 1143 841, 1135, 1014, 1013, 1134, 1146, 1025, 1024, 1145 842, 1136, 1015, 1014, 1135, 1147, 1026, 1025, 1146 843, 1137, 1016, 1015, 1136, 1148, 1027, 1026, 1147 844, 1138, 1017, 1016, 1137, 1149, 1028, 1027, 1148 845, 1139, 1018, 1017, 1138, 1150, 1029, 1028, 1149 846, 1140, 1019, 1018, 1139, 1151, 1030, 1029, 1150 847, 1141, 1020, 1019, 1140, 1152, 1031, 1030, 1151 848, 1142, 1021, 1020, 1141, 1153, 1032, 1031, 1152 849, 1143, 1022, 1021, 1142, 1154, 1033, 1032, 1153 850, 1144, 1023, 1022, 1143, 1155, 1034, 1033, 1154 851, 1146, 1025, 1024, 1145, 1157, 1036, 1035, 1156 852, 1147, 1026, 1025, 1146, 1158, 1037, 1036, 1157 853, 1148, 1027, 1026, 1147, 1159, 1038, 1037, 1158 854, 1149, 1028, 1027, 1148, 1160, 1039, 1038, 1159 855, 1150, 1029, 1028, 1149, 1161, 1040, 1039, 1160 856, 1151, 1030, 1029, 1150, 1162, 1041, 1040, 1161 857, 1152, 1031, 1030, 1151, 1163, 1042, 1041, 1162 858, 1153, 1032, 1031, 1152, 1164, 1043, 1042, 1163 859, 1154, 1033, 1032, 1153, 1165, 1044, 1043, 1164 860, 1155, 1034, 1033, 1154, 1166, 1045, 1044, 1165 861, 1157, 1036, 1035, 1156, 1168, 1047, 1046, 1167 862, 1158, 1037, 1036, 1157, 1169, 1048, 1047, 1168 863, 1159, 1038, 1037, 1158, 1170, 1049, 1048, 1169 864, 1160, 1039, 1038, 1159, 1171, 1050, 1049, 1170 865, 1161, 1040, 1039, 1160, 1172, 1051, 1050, 1171 866, 1162, 1041, 1040, 1161, 1173, 1052, 1051, 1172 867, 1163, 1042, 1041, 1162, 1174, 1053, 1052, 1173 868, 1164, 1043, 1042, 1163, 1175, 1054, 1053, 1174 869, 1165, 1044, 1043, 1164, 1176, 1055, 1054, 1175 870, 1166, 1045, 1044, 1165, 1177, 1056, 1055, 1176 871, 1168, 1047, 1046, 1167, 1179, 1058, 1057, 1178 872, 1169, 1048, 1047, 1168, 1180, 1059, 1058, 1179 873, 1170, 1049, 1048, 1169, 1181, 1060, 1059, 1180 874, 1171, 1050, 1049, 1170, 1182, 1061, 1060, 1181 875, 1172, 1051, 1050, 1171, 1183, 1062, 1061, 1182 876, 1173, 1052, 1051, 1172, 1184, 1063, 1062, 1183 877, 1174, 1053, 1052, 1173, 1185, 1064, 1063, 1184 878, 1175, 1054, 1053, 1174, 1186, 1065, 1064, 1185 879, 1176, 1055, 1054, 1175, 1187, 1066, 1065, 1186 880, 1177, 1056, 1055, 1176, 1188, 1067, 1066, 1187 881, 1179, 1058, 1057, 1178, 1190, 1069, 1068, 1189 882, 1180, 1059, 1058, 1179, 1191, 1070, 1069, 1190 883, 1181, 1060, 1059, 1180, 1192, 1071, 1070, 1191 884, 1182, 1061, 1060, 1181, 1193, 1072, 1071, 1192 885, 1183, 1062, 1061, 1182, 1194, 1073, 1072, 1193 886, 1184, 1063, 1062, 1183, 1195, 1074, 1073, 1194 887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195 888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196 889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197 890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198 891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200 892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201 893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202 894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203 895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204 896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205 897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206 898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207 899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208 900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209 901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222 902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223 903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224 904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225 905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226 906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227 907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228 908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229 909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230 910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231 911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233 912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234 913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235 914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236 915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237 916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238 917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239 918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240 919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241 920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242 921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244 922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245 923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246 924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247 925, 1238, 1117, 1116, 1237, 1249, 1128, 1127, 1248 926, 1239, 1118, 1117, 1238, 1250, 1129, 1128, 1249 927, 1240, 1119, 1118, 1239, 1251, 1130, 1129, 1250 928, 1241, 1120, 1119, 1240, 1252, 1131, 1130, 1251 929, 1242, 1121, 1120, 1241, 1253, 1132, 1131, 1252 930, 1243, 1122, 1121, 1242, 1254, 1133, 1132, 1253 931, 1245, 1124, 1123, 1244, 1256, 1135, 1134, 1255 932, 1246, 1125, 1124, 1245, 1257, 1136, 1135, 1256 933, 1247, 1126, 1125, 1246, 1258, 1137, 1136, 1257 934, 1248, 1127, 1126, 1247, 1259, 1138, 1137, 1258 935, 1249, 1128, 1127, 1248, 1260, 1139, 1138, 1259 936, 1250, 1129, 1128, 1249, 1261, 1140, 1139, 1260 937, 1251, 1130, 1129, 1250, 1262, 1141, 1140, 1261 938, 1252, 1131, 1130, 1251, 1263, 1142, 1141, 1262 939, 1253, 1132, 1131, 1252, 1264, 1143, 1142, 1263 940, 1254, 1133, 1132, 1253, 1265, 1144, 1143, 1264 941, 1256, 1135, 1134, 1255, 1267, 1146, 1145, 1266 942, 1257, 1136, 1135, 1256, 1268, 1147, 1146, 1267 943, 1258, 1137, 1136, 1257, 1269, 1148, 1147, 1268 944, 1259, 1138, 1137, 1258, 1270, 1149, 1148, 1269 945, 1260, 1139, 1138, 1259, 1271, 1150, 1149, 1270 946, 1261, 1140, 1139, 1260, 1272, 1151, 1150, 1271 947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272 948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273 949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274 950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275 951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277 952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278 953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279 954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280 955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281 956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282 957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283 958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284 959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285 960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286 961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288 962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289 963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290 964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291 965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292 966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293 967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294 968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295 969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296 970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297 971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299 972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300 973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301 974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302 975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303 976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304 977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305 978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306 979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307 980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308 981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310 982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311 983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312 984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313 985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314 986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315 987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316 988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317 989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318 990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319 991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321 992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322 993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323 994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324 995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325 996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326 997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327 998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328 999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329 1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330 ** ** ---------------------------------------------------------------- ** ================================================ FILE: Dream3D2Abaqus/Step-2b Python/testcase_elset.inp ================================================ ** Generated by : ImportExport Version 6.5.160.2320e899c ** ---------------------------------------------------------------- ** ** The element sets *Elset, elset=cube, generate 1, 1000, 1 ** ** Each Grain is made up of multiple elements ** *Elset, elset=Grain1_set 505, 506, 515, 516, 604, 605, 606, 607, 608, 609, 613, 614, 615, 616, 617, 618, 624, 625, 626, 627, 635, 636, 702, 703, 704, 705, 706, 707, 708, 709, 710, 712, 713, 714, 715, 716, 717, 718, 719, 720, 722, 723, 724, 725, 726, 727, 728, 729, 730, 734, 735, 736, 737, 738, 739, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 833, 834, 835, 836, 837, 838, 839, 840, 845, 846, 847, 848, 849, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 944, 945, 946, 947, 948, 949, 950 *Elset, elset=Grain2_set 35, 36, 37, 44, 45, 46, 47, 48, 54, 55, 56, 57, 58, 59, 60, 64, 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85, 86, 87, 88, 89, 90, 93, 94, 95, 96, 97, 98, 99, 100, 135, 144, 145, 146, 147, 148, 154, 155, 156, 157, 158, 159, 160, 164, 165, 166, 167, 168, 169, 170, 174, 175, 176, 177, 178, 179, 180, 184, 185, 186, 187, 188, 189, 190, 194, 195, 196, 197, 198, 199, 200, 244, 245, 246, 247, 254, 255, 256, 257, 258, 259, 264, 265, 266, 267, 268, 269, 270, 274, 275, 276, 277, 278, 279, 280, 284, 285, 286, 287, 288, 289, 290, 295, 296, 297, 298, 299, 344, 345, 346, 354, 355, 356, 357, 358, 359, 364, 365, 366, 367, 368, 369, 375, 376, 377, 378, 379, 385, 386, 387, 388, 397, 446, 456, 457, 458, 459, 466, 467, 468, 476, 477 *Elset, elset=Grain3_set 193, 293, 294, 374, 383, 384, 391, 392, 393, 394, 395, 396, 443, 444, 445, 453, 454, 455, 463, 464, 465, 473, 474, 475, 481, 482, 483, 484, 485, 486, 491, 492, 493, 494, 495, 496, 534, 535, 541, 542, 543, 544, 545, 546, 551, 552, 553, 554, 555, 556, 557, 561, 562, 563, 564, 565, 566, 567, 571, 572, 573, 574, 575, 576, 577, 581, 582, 583, 584, 585, 586, 587, 591, 592, 593, 594, 595, 596, 631, 632, 633, 634, 641, 642, 643, 644, 645, 646, 647, 651, 652, 653, 654, 655, 656, 657, 661, 662, 663, 664, 665, 666, 667, 671, 672, 673, 674, 675, 676, 677, 681, 682, 683, 684, 685, 686, 687, 691, 692, 693, 694, 695, 696, 697, 731, 732, 733, 741, 742, 743, 744, 745, 746, 747, 751, 752, 753, 754, 755, 756, 757, 761, 762, 763, 764, 765, 766, 767, 771, 772, 773, 774, 775, 776, 777, 781, 782, 783, 784, 785, 786, 787, 791, 792, 793, 794, 795, 796, 797, 831, 832, 841, 842, 843, 844, 851, 852, 853, 854, 855, 856, 857, 861, 862, 863, 864, 865, 866, 867, 871, 872, 873, 874, 875, 876, 877, 881, 882, 883, 884, 885, 886, 887, 891, 892, 893, 894, 895, 896, 897, 941, 942, 943, 951, 952, 953, 954, 955, 956, 957, 961, 962, 963, 964, 965, 966, 967, 971, 972, 973, 974, 975, 976, 977, 981, 982, 983, 984, 985, 986, 987, 991, 992, 993, 994, 995, 996, 997 *Elset, elset=Grain4_set 1, 2, 3, 4, 5, 11, 12, 13, 14, 15, 21, 22, 23, 24, 25, 31, 32, 33, 34, 42, 43, 101, 102, 103, 104, 105, 111, 112, 113, 114, 115, 121, 122, 123, 124, 125, 131, 132, 133, 134, 142, 143, 201, 202, 203, 204, 205, 211, 212, 213, 214, 215, 221, 222, 223, 224, 225, 231, 232, 233, 234, 301, 302, 303, 304, 305, 311, 312, 313, 314, 315, 321, 322, 323, 324, 331, 332, 333, 334, 401, 402, 403, 404, 405, 411, 412, 413, 414, 415, 421, 422, 423, 424, 431, 432, 433, 434, 501, 502, 503, 504, 511, 512, 513, 514, 521, 522, 523, 524, 531, 532, 533, 601, 602, 603, 611, 612, 621, 622, 623, 701, 711, 721 *Elset, elset=Grain5_set 6, 7, 8, 9, 10, 16, 17, 18, 19, 20, 26, 27, 28, 29, 30, 38, 39, 40, 49, 50, 106, 107, 108, 109, 110, 116, 117, 118, 119, 120, 126, 127, 128, 129, 130, 136, 137, 138, 139, 140, 149, 150, 206, 207, 208, 209, 210, 216, 217, 218, 219, 220, 226, 227, 228, 229, 230, 235, 236, 237, 238, 239, 240, 248, 249, 250, 260, 306, 307, 308, 309, 310, 316, 317, 318, 319, 320, 325, 326, 327, 328, 329, 330, 335, 336, 337, 338, 339, 340, 347, 348, 349, 350, 360, 406, 407, 408, 409, 410, 416, 417, 418, 419, 420, 425, 426, 427, 428, 429, 430, 435, 436, 437, 438, 439, 440, 447, 448, 449, 450, 507, 508, 509, 510, 517, 518, 519, 520, 525, 526, 527, 528, 529, 530, 536, 537, 538, 539, 540, 547, 548, 549, 550, 610, 619, 620, 628, 629, 630, 637, 638, 639, 640, 648, 740 *Elset, elset=Grain6_set 300, 370, 380, 389, 390, 398, 399, 400, 460, 469, 470, 478, 479, 480, 487, 488, 489, 490, 497, 498, 499, 500, 558, 559, 560, 568, 569, 570, 578, 579, 580, 588, 589, 590, 597, 598, 599, 600, 649, 650, 658, 659, 660, 668, 669, 670, 678, 679, 680, 688, 689, 690, 698, 699, 700, 748, 749, 750, 758, 759, 760, 768, 769, 770, 778, 779, 780, 788, 789, 790, 798, 799, 800, 850, 858, 859, 860, 868, 869, 870, 878, 879, 880, 888, 889, 890, 898, 899, 900, 958, 959, 960, 968, 969, 970, 978, 979, 980, 988, 989, 990, 998, 999, 1000 *Elset, elset=Grain7_set 41, 51, 52, 53, 61, 62, 63, 71, 72, 73, 81, 82, 91, 92, 141, 151, 152, 153, 161, 162, 163, 171, 172, 173, 181, 182, 183, 191, 192, 241, 242, 243, 251, 252, 253, 261, 262, 263, 271, 272, 273, 281, 282, 283, 291, 292, 341, 342, 343, 351, 352, 353, 361, 362, 363, 371, 372, 373, 381, 382, 441, 442, 451, 452, 461, 462, 471, 472 ** ** 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1323, 2.000000, 10.000000, 10.000000 1324, 3.000000, 10.000000, 10.000000 1325, 4.000000, 10.000000, 10.000000 1326, 5.000000, 10.000000, 10.000000 1327, 6.000000, 10.000000, 10.000000 1328, 7.000000, 10.000000, 10.000000 1329, 8.000000, 10.000000, 10.000000 1330, 9.000000, 10.000000, 10.000000 1331, 10.000000, 10.000000, 10.000000 999999, 0.000000, 0.000000, 0.000000 ** ** ---------------------------------------------------------------- ** ================================================ FILE: Dream3D2Abaqus/Step-2b Python/testcase_sects.inp ================================================ ** Generated by : ImportExport Version 6.5.160.2320e899c ** ---------------------------------------------------------------- ** ** Each section is a separate grain ** Section: Grain1 *Solid Section, elset=Grain1_set, material=Grain_Mat1 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain2 *Solid Section, elset=Grain2_set, material=Grain_Mat2 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain3 *Solid Section, elset=Grain3_set, material=Grain_Mat3 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain4 *Solid Section, elset=Grain4_set, material=Grain_Mat4 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain5 *Solid Section, elset=Grain5_set, material=Grain_Mat5 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain6 *Solid Section, elset=Grain6_set, material=Grain_Mat6 *Hourglass Stiffness 250 ** -------------------------------------- ** Section: Grain7 *Solid Section, elset=Grain7_set, material=Grain_Mat7 *Hourglass Stiffness 250 ** -------------------------------------- ** ** ---------------------------------------------------------------- ** ================================================ FILE: Example - Polycrytal with PROPS/Job-1.inp ================================================ *Heading ** Job name: Job-1 Model name: testcase ** Generated by: Abaqus/CAE 2021 *Preprint, echo=NO, model=NO, history=NO, contact=NO ** ** PARTS ** *Part, name=DREAM3D *Node 1, 0., 0., 0. 2, 1., 0., 0. 3, 2., 0., 0. 4, 3., 0., 0. 5, 4., 0., 0. 6, 5., 0., 0. 7, 6., 0., 0. 8, 7., 0., 0. 9, 8., 0., 0. 10, 9., 0., 0. 11, 10., 0., 0. 12, 0., 1., 0. 13, 1., 1., 0. 14, 2., 1., 0. 15, 3., 1., 0. 16, 4., 1., 0. 17, 5., 1., 0. 18, 6., 1., 0. 19, 7., 1., 0. 20, 8., 1., 0. 21, 9., 1., 0. 22, 10., 1., 0. 23, 0., 2., 0. 24, 1., 2., 0. 25, 2., 2., 0. 26, 3., 2., 0. 27, 4., 2., 0. 28, 5., 2., 0. 29, 6., 2., 0. 30, 7., 2., 0. 31, 8., 2., 0. 32, 9., 2., 0. 33, 10., 2., 0. 34, 0., 3., 0. 35, 1., 3., 0. 36, 2., 3., 0. 37, 3., 3., 0. 38, 4., 3., 0. 39, 5., 3., 0. 40, 6., 3., 0. 41, 7., 3., 0. 42, 8., 3., 0. 43, 9., 3., 0. 44, 10., 3., 0. 45, 0., 4., 0. 46, 1., 4., 0. 47, 2., 4., 0. 48, 3., 4., 0. 49, 4., 4., 0. 50, 5., 4., 0. 51, 6., 4., 0. 52, 7., 4., 0. 53, 8., 4., 0. 54, 9., 4., 0. 55, 10., 4., 0. 56, 0., 5., 0. 57, 1., 5., 0. 58, 2., 5., 0. 59, 3., 5., 0. 60, 4., 5., 0. 61, 5., 5., 0. 62, 6., 5., 0. 63, 7., 5., 0. 64, 8., 5., 0. 65, 9., 5., 0. 66, 10., 5., 0. 67, 0., 6., 0. 68, 1., 6., 0. 69, 2., 6., 0. 70, 3., 6., 0. 71, 4., 6., 0. 72, 5., 6., 0. 73, 6., 6., 0. 74, 7., 6., 0. 75, 8., 6., 0. 76, 9., 6., 0. 77, 10., 6., 0. 78, 0., 7., 0. 79, 1., 7., 0. 80, 2., 7., 0. 81, 3., 7., 0. 82, 4., 7., 0. 83, 5., 7., 0. 84, 6., 7., 0. 85, 7., 7., 0. 86, 8., 7., 0. 87, 9., 7., 0. 88, 10., 7., 0. 89, 0., 8., 0. 90, 1., 8., 0. 91, 2., 8., 0. 92, 3., 8., 0. 93, 4., 8., 0. 94, 5., 8., 0. 95, 6., 8., 0. 96, 7., 8., 0. 97, 8., 8., 0. 98, 9., 8., 0. 99, 10., 8., 0. 100, 0., 9., 0. 101, 1., 9., 0. 102, 2., 9., 0. 103, 3., 9., 0. 104, 4., 9., 0. 105, 5., 9., 0. 106, 6., 9., 0. 107, 7., 9., 0. 108, 8., 9., 0. 109, 9., 9., 0. 110, 10., 9., 0. 111, 0., 10., 0. 112, 1., 10., 0. 113, 2., 10., 0. 114, 3., 10., 0. 115, 4., 10., 0. 116, 5., 10., 0. 117, 6., 10., 0. 118, 7., 10., 0. 119, 8., 10., 0. 120, 9., 10., 0. 121, 10., 10., 0. 122, 0., 0., 1. 123, 1., 0., 1. 124, 2., 0., 1. 125, 3., 0., 1. 126, 4., 0., 1. 127, 5., 0., 1. 128, 6., 0., 1. 129, 7., 0., 1. 130, 8., 0., 1. 131, 9., 0., 1. 132, 10., 0., 1. 133, 0., 1., 1. 134, 1., 1., 1. 135, 2., 1., 1. 136, 3., 1., 1. 137, 4., 1., 1. 138, 5., 1., 1. 139, 6., 1., 1. 140, 7., 1., 1. 141, 8., 1., 1. 142, 9., 1., 1. 143, 10., 1., 1. 144, 0., 2., 1. 145, 1., 2., 1. 146, 2., 2., 1. 147, 3., 2., 1. 148, 4., 2., 1. 149, 5., 2., 1. 150, 6., 2., 1. 151, 7., 2., 1. 152, 8., 2., 1. 153, 9., 2., 1. 154, 10., 2., 1. 155, 0., 3., 1. 156, 1., 3., 1. 157, 2., 3., 1. 158, 3., 3., 1. 159, 4., 3., 1. 160, 5., 3., 1. 161, 6., 3., 1. 162, 7., 3., 1. 163, 8., 3., 1. 164, 9., 3., 1. 165, 10., 3., 1. 166, 0., 4., 1. 167, 1., 4., 1. 168, 2., 4., 1. 169, 3., 4., 1. 170, 4., 4., 1. 171, 5., 4., 1. 172, 6., 4., 1. 173, 7., 4., 1. 174, 8., 4., 1. 175, 9., 4., 1. 176, 10., 4., 1. 177, 0., 5., 1. 178, 1., 5., 1. 179, 2., 5., 1. 180, 3., 5., 1. 181, 4., 5., 1. 182, 5., 5., 1. 183, 6., 5., 1. 184, 7., 5., 1. 185, 8., 5., 1. 186, 9., 5., 1. 187, 10., 5., 1. 188, 0., 6., 1. 189, 1., 6., 1. 190, 2., 6., 1. 191, 3., 6., 1. 192, 4., 6., 1. 193, 5., 6., 1. 194, 6., 6., 1. 195, 7., 6., 1. 196, 8., 6., 1. 197, 9., 6., 1. 198, 10., 6., 1. 199, 0., 7., 1. 200, 1., 7., 1. 201, 2., 7., 1. 202, 3., 7., 1. 203, 4., 7., 1. 204, 5., 7., 1. 205, 6., 7., 1. 206, 7., 7., 1. 207, 8., 7., 1. 208, 9., 7., 1. 209, 10., 7., 1. 210, 0., 8., 1. 211, 1., 8., 1. 212, 2., 8., 1. 213, 3., 8., 1. 214, 4., 8., 1. 215, 5., 8., 1. 216, 6., 8., 1. 217, 7., 8., 1. 218, 8., 8., 1. 219, 9., 8., 1. 220, 10., 8., 1. 221, 0., 9., 1. 222, 1., 9., 1. 223, 2., 9., 1. 224, 3., 9., 1. 225, 4., 9., 1. 226, 5., 9., 1. 227, 6., 9., 1. 228, 7., 9., 1. 229, 8., 9., 1. 230, 9., 9., 1. 231, 10., 9., 1. 232, 0., 10., 1. 233, 1., 10., 1. 234, 2., 10., 1. 235, 3., 10., 1. 236, 4., 10., 1. 237, 5., 10., 1. 238, 6., 10., 1. 239, 7., 10., 1. 240, 8., 10., 1. 241, 9., 10., 1. 242, 10., 10., 1. 243, 0., 0., 2. 244, 1., 0., 2. 245, 2., 0., 2. 246, 3., 0., 2. 247, 4., 0., 2. 248, 5., 0., 2. 249, 6., 0., 2. 250, 7., 0., 2. 251, 8., 0., 2. 252, 9., 0., 2. 253, 10., 0., 2. 254, 0., 1., 2. 255, 1., 1., 2. 256, 2., 1., 2. 257, 3., 1., 2. 258, 4., 1., 2. 259, 5., 1., 2. 260, 6., 1., 2. 261, 7., 1., 2. 262, 8., 1., 2. 263, 9., 1., 2. 264, 10., 1., 2. 265, 0., 2., 2. 266, 1., 2., 2. 267, 2., 2., 2. 268, 3., 2., 2. 269, 4., 2., 2. 270, 5., 2., 2. 271, 6., 2., 2. 272, 7., 2., 2. 273, 8., 2., 2. 274, 9., 2., 2. 275, 10., 2., 2. 276, 0., 3., 2. 277, 1., 3., 2. 278, 2., 3., 2. 279, 3., 3., 2. 280, 4., 3., 2. 281, 5., 3., 2. 282, 6., 3., 2. 283, 7., 3., 2. 284, 8., 3., 2. 285, 9., 3., 2. 286, 10., 3., 2. 287, 0., 4., 2. 288, 1., 4., 2. 289, 2., 4., 2. 290, 3., 4., 2. 291, 4., 4., 2. 292, 5., 4., 2. 293, 6., 4., 2. 294, 7., 4., 2. 295, 8., 4., 2. 296, 9., 4., 2. 297, 10., 4., 2. 298, 0., 5., 2. 299, 1., 5., 2. 300, 2., 5., 2. 301, 3., 5., 2. 302, 4., 5., 2. 303, 5., 5., 2. 304, 6., 5., 2. 305, 7., 5., 2. 306, 8., 5., 2. 307, 9., 5., 2. 308, 10., 5., 2. 309, 0., 6., 2. 310, 1., 6., 2. 311, 2., 6., 2. 312, 3., 6., 2. 313, 4., 6., 2. 314, 5., 6., 2. 315, 6., 6., 2. 316, 7., 6., 2. 317, 8., 6., 2. 318, 9., 6., 2. 319, 10., 6., 2. 320, 0., 7., 2. 321, 1., 7., 2. 322, 2., 7., 2. 323, 3., 7., 2. 324, 4., 7., 2. 325, 5., 7., 2. 326, 6., 7., 2. 327, 7., 7., 2. 328, 8., 7., 2. 329, 9., 7., 2. 330, 10., 7., 2. 331, 0., 8., 2. 332, 1., 8., 2. 333, 2., 8., 2. 334, 3., 8., 2. 335, 4., 8., 2. 336, 5., 8., 2. 337, 6., 8., 2. 338, 7., 8., 2. 339, 8., 8., 2. 340, 9., 8., 2. 341, 10., 8., 2. 342, 0., 9., 2. 343, 1., 9., 2. 344, 2., 9., 2. 345, 3., 9., 2. 346, 4., 9., 2. 347, 5., 9., 2. 348, 6., 9., 2. 349, 7., 9., 2. 350, 8., 9., 2. 351, 9., 9., 2. 352, 10., 9., 2. 353, 0., 10., 2. 354, 1., 10., 2. 355, 2., 10., 2. 356, 3., 10., 2. 357, 4., 10., 2. 358, 5., 10., 2. 359, 6., 10., 2. 360, 7., 10., 2. 361, 8., 10., 2. 362, 9., 10., 2. 363, 10., 10., 2. 364, 0., 0., 3. 365, 1., 0., 3. 366, 2., 0., 3. 367, 3., 0., 3. 368, 4., 0., 3. 369, 5., 0., 3. 370, 6., 0., 3. 371, 7., 0., 3. 372, 8., 0., 3. 373, 9., 0., 3. 374, 10., 0., 3. 375, 0., 1., 3. 376, 1., 1., 3. 377, 2., 1., 3. 378, 3., 1., 3. 379, 4., 1., 3. 380, 5., 1., 3. 381, 6., 1., 3. 382, 7., 1., 3. 383, 8., 1., 3. 384, 9., 1., 3. 385, 10., 1., 3. 386, 0., 2., 3. 387, 1., 2., 3. 388, 2., 2., 3. 389, 3., 2., 3. 390, 4., 2., 3. 391, 5., 2., 3. 392, 6., 2., 3. 393, 7., 2., 3. 394, 8., 2., 3. 395, 9., 2., 3. 396, 10., 2., 3. 397, 0., 3., 3. 398, 1., 3., 3. 399, 2., 3., 3. 400, 3., 3., 3. 401, 4., 3., 3. 402, 5., 3., 3. 403, 6., 3., 3. 404, 7., 3., 3. 405, 8., 3., 3. 406, 9., 3., 3. 407, 10., 3., 3. 408, 0., 4., 3. 409, 1., 4., 3. 410, 2., 4., 3. 411, 3., 4., 3. 412, 4., 4., 3. 413, 5., 4., 3. 414, 6., 4., 3. 415, 7., 4., 3. 416, 8., 4., 3. 417, 9., 4., 3. 418, 10., 4., 3. 419, 0., 5., 3. 420, 1., 5., 3. 421, 2., 5., 3. 422, 3., 5., 3. 423, 4., 5., 3. 424, 5., 5., 3. 425, 6., 5., 3. 426, 7., 5., 3. 427, 8., 5., 3. 428, 9., 5., 3. 429, 10., 5., 3. 430, 0., 6., 3. 431, 1., 6., 3. 432, 2., 6., 3. 433, 3., 6., 3. 434, 4., 6., 3. 435, 5., 6., 3. 436, 6., 6., 3. 437, 7., 6., 3. 438, 8., 6., 3. 439, 9., 6., 3. 440, 10., 6., 3. 441, 0., 7., 3. 442, 1., 7., 3. 443, 2., 7., 3. 444, 3., 7., 3. 445, 4., 7., 3. 446, 5., 7., 3. 447, 6., 7., 3. 448, 7., 7., 3. 449, 8., 7., 3. 450, 9., 7., 3. 451, 10., 7., 3. 452, 0., 8., 3. 453, 1., 8., 3. 454, 2., 8., 3. 455, 3., 8., 3. 456, 4., 8., 3. 457, 5., 8., 3. 458, 6., 8., 3. 459, 7., 8., 3. 460, 8., 8., 3. 461, 9., 8., 3. 462, 10., 8., 3. 463, 0., 9., 3. 464, 1., 9., 3. 465, 2., 9., 3. 466, 3., 9., 3. 467, 4., 9., 3. 468, 5., 9., 3. 469, 6., 9., 3. 470, 7., 9., 3. 471, 8., 9., 3. 472, 9., 9., 3. 473, 10., 9., 3. 474, 0., 10., 3. 475, 1., 10., 3. 476, 2., 10., 3. 477, 3., 10., 3. 478, 4., 10., 3. 479, 5., 10., 3. 480, 6., 10., 3. 481, 7., 10., 3. 482, 8., 10., 3. 483, 9., 10., 3. 484, 10., 10., 3. 485, 0., 0., 4. 486, 1., 0., 4. 487, 2., 0., 4. 488, 3., 0., 4. 489, 4., 0., 4. 490, 5., 0., 4. 491, 6., 0., 4. 492, 7., 0., 4. 493, 8., 0., 4. 494, 9., 0., 4. 495, 10., 0., 4. 496, 0., 1., 4. 497, 1., 1., 4. 498, 2., 1., 4. 499, 3., 1., 4. 500, 4., 1., 4. 501, 5., 1., 4. 502, 6., 1., 4. 503, 7., 1., 4. 504, 8., 1., 4. 505, 9., 1., 4. 506, 10., 1., 4. 507, 0., 2., 4. 508, 1., 2., 4. 509, 2., 2., 4. 510, 3., 2., 4. 511, 4., 2., 4. 512, 5., 2., 4. 513, 6., 2., 4. 514, 7., 2., 4. 515, 8., 2., 4. 516, 9., 2., 4. 517, 10., 2., 4. 518, 0., 3., 4. 519, 1., 3., 4. 520, 2., 3., 4. 521, 3., 3., 4. 522, 4., 3., 4. 523, 5., 3., 4. 524, 6., 3., 4. 525, 7., 3., 4. 526, 8., 3., 4. 527, 9., 3., 4. 528, 10., 3., 4. 529, 0., 4., 4. 530, 1., 4., 4. 531, 2., 4., 4. 532, 3., 4., 4. 533, 4., 4., 4. 534, 5., 4., 4. 535, 6., 4., 4. 536, 7., 4., 4. 537, 8., 4., 4. 538, 9., 4., 4. 539, 10., 4., 4. 540, 0., 5., 4. 541, 1., 5., 4. 542, 2., 5., 4. 543, 3., 5., 4. 544, 4., 5., 4. 545, 5., 5., 4. 546, 6., 5., 4. 547, 7., 5., 4. 548, 8., 5., 4. 549, 9., 5., 4. 550, 10., 5., 4. 551, 0., 6., 4. 552, 1., 6., 4. 553, 2., 6., 4. 554, 3., 6., 4. 555, 4., 6., 4. 556, 5., 6., 4. 557, 6., 6., 4. 558, 7., 6., 4. 559, 8., 6., 4. 560, 9., 6., 4. 561, 10., 6., 4. 562, 0., 7., 4. 563, 1., 7., 4. 564, 2., 7., 4. 565, 3., 7., 4. 566, 4., 7., 4. 567, 5., 7., 4. 568, 6., 7., 4. 569, 7., 7., 4. 570, 8., 7., 4. 571, 9., 7., 4. 572, 10., 7., 4. 573, 0., 8., 4. 574, 1., 8., 4. 575, 2., 8., 4. 576, 3., 8., 4. 577, 4., 8., 4. 578, 5., 8., 4. 579, 6., 8., 4. 580, 7., 8., 4. 581, 8., 8., 4. 582, 9., 8., 4. 583, 10., 8., 4. 584, 0., 9., 4. 585, 1., 9., 4. 586, 2., 9., 4. 587, 3., 9., 4. 588, 4., 9., 4. 589, 5., 9., 4. 590, 6., 9., 4. 591, 7., 9., 4. 592, 8., 9., 4. 593, 9., 9., 4. 594, 10., 9., 4. 595, 0., 10., 4. 596, 1., 10., 4. 597, 2., 10., 4. 598, 3., 10., 4. 599, 4., 10., 4. 600, 5., 10., 4. 601, 6., 10., 4. 602, 7., 10., 4. 603, 8., 10., 4. 604, 9., 10., 4. 605, 10., 10., 4. 606, 0., 0., 5. 607, 1., 0., 5. 608, 2., 0., 5. 609, 3., 0., 5. 610, 4., 0., 5. 611, 5., 0., 5. 612, 6., 0., 5. 613, 7., 0., 5. 614, 8., 0., 5. 615, 9., 0., 5. 616, 10., 0., 5. 617, 0., 1., 5. 618, 1., 1., 5. 619, 2., 1., 5. 620, 3., 1., 5. 621, 4., 1., 5. 622, 5., 1., 5. 623, 6., 1., 5. 624, 7., 1., 5. 625, 8., 1., 5. 626, 9., 1., 5. 627, 10., 1., 5. 628, 0., 2., 5. 629, 1., 2., 5. 630, 2., 2., 5. 631, 3., 2., 5. 632, 4., 2., 5. 633, 5., 2., 5. 634, 6., 2., 5. 635, 7., 2., 5. 636, 8., 2., 5. 637, 9., 2., 5. 638, 10., 2., 5. 639, 0., 3., 5. 640, 1., 3., 5. 641, 2., 3., 5. 642, 3., 3., 5. 643, 4., 3., 5. 644, 5., 3., 5. 645, 6., 3., 5. 646, 7., 3., 5. 647, 8., 3., 5. 648, 9., 3., 5. 649, 10., 3., 5. 650, 0., 4., 5. 651, 1., 4., 5. 652, 2., 4., 5. 653, 3., 4., 5. 654, 4., 4., 5. 655, 5., 4., 5. 656, 6., 4., 5. 657, 7., 4., 5. 658, 8., 4., 5. 659, 9., 4., 5. 660, 10., 4., 5. 661, 0., 5., 5. 662, 1., 5., 5. 663, 2., 5., 5. 664, 3., 5., 5. 665, 4., 5., 5. 666, 5., 5., 5. 667, 6., 5., 5. 668, 7., 5., 5. 669, 8., 5., 5. 670, 9., 5., 5. 671, 10., 5., 5. 672, 0., 6., 5. 673, 1., 6., 5. 674, 2., 6., 5. 675, 3., 6., 5. 676, 4., 6., 5. 677, 5., 6., 5. 678, 6., 6., 5. 679, 7., 6., 5. 680, 8., 6., 5. 681, 9., 6., 5. 682, 10., 6., 5. 683, 0., 7., 5. 684, 1., 7., 5. 685, 2., 7., 5. 686, 3., 7., 5. 687, 4., 7., 5. 688, 5., 7., 5. 689, 6., 7., 5. 690, 7., 7., 5. 691, 8., 7., 5. 692, 9., 7., 5. 693, 10., 7., 5. 694, 0., 8., 5. 695, 1., 8., 5. 696, 2., 8., 5. 697, 3., 8., 5. 698, 4., 8., 5. 699, 5., 8., 5. 700, 6., 8., 5. 701, 7., 8., 5. 702, 8., 8., 5. 703, 9., 8., 5. 704, 10., 8., 5. 705, 0., 9., 5. 706, 1., 9., 5. 707, 2., 9., 5. 708, 3., 9., 5. 709, 4., 9., 5. 710, 5., 9., 5. 711, 6., 9., 5. 712, 7., 9., 5. 713, 8., 9., 5. 714, 9., 9., 5. 715, 10., 9., 5. 716, 0., 10., 5. 717, 1., 10., 5. 718, 2., 10., 5. 719, 3., 10., 5. 720, 4., 10., 5. 721, 5., 10., 5. 722, 6., 10., 5. 723, 7., 10., 5. 724, 8., 10., 5. 725, 9., 10., 5. 726, 10., 10., 5. 727, 0., 0., 6. 728, 1., 0., 6. 729, 2., 0., 6. 730, 3., 0., 6. 731, 4., 0., 6. 732, 5., 0., 6. 733, 6., 0., 6. 734, 7., 0., 6. 735, 8., 0., 6. 736, 9., 0., 6. 737, 10., 0., 6. 738, 0., 1., 6. 739, 1., 1., 6. 740, 2., 1., 6. 741, 3., 1., 6. 742, 4., 1., 6. 743, 5., 1., 6. 744, 6., 1., 6. 745, 7., 1., 6. 746, 8., 1., 6. 747, 9., 1., 6. 748, 10., 1., 6. 749, 0., 2., 6. 750, 1., 2., 6. 751, 2., 2., 6. 752, 3., 2., 6. 753, 4., 2., 6. 754, 5., 2., 6. 755, 6., 2., 6. 756, 7., 2., 6. 757, 8., 2., 6. 758, 9., 2., 6. 759, 10., 2., 6. 760, 0., 3., 6. 761, 1., 3., 6. 762, 2., 3., 6. 763, 3., 3., 6. 764, 4., 3., 6. 765, 5., 3., 6. 766, 6., 3., 6. 767, 7., 3., 6. 768, 8., 3., 6. 769, 9., 3., 6. 770, 10., 3., 6. 771, 0., 4., 6. 772, 1., 4., 6. 773, 2., 4., 6. 774, 3., 4., 6. 775, 4., 4., 6. 776, 5., 4., 6. 777, 6., 4., 6. 778, 7., 4., 6. 779, 8., 4., 6. 780, 9., 4., 6. 781, 10., 4., 6. 782, 0., 5., 6. 783, 1., 5., 6. 784, 2., 5., 6. 785, 3., 5., 6. 786, 4., 5., 6. 787, 5., 5., 6. 788, 6., 5., 6. 789, 7., 5., 6. 790, 8., 5., 6. 791, 9., 5., 6. 792, 10., 5., 6. 793, 0., 6., 6. 794, 1., 6., 6. 795, 2., 6., 6. 796, 3., 6., 6. 797, 4., 6., 6. 798, 5., 6., 6. 799, 6., 6., 6. 800, 7., 6., 6. 801, 8., 6., 6. 802, 9., 6., 6. 803, 10., 6., 6. 804, 0., 7., 6. 805, 1., 7., 6. 806, 2., 7., 6. 807, 3., 7., 6. 808, 4., 7., 6. 809, 5., 7., 6. 810, 6., 7., 6. 811, 7., 7., 6. 812, 8., 7., 6. 813, 9., 7., 6. 814, 10., 7., 6. 815, 0., 8., 6. 816, 1., 8., 6. 817, 2., 8., 6. 818, 3., 8., 6. 819, 4., 8., 6. 820, 5., 8., 6. 821, 6., 8., 6. 822, 7., 8., 6. 823, 8., 8., 6. 824, 9., 8., 6. 825, 10., 8., 6. 826, 0., 9., 6. 827, 1., 9., 6. 828, 2., 9., 6. 829, 3., 9., 6. 830, 4., 9., 6. 831, 5., 9., 6. 832, 6., 9., 6. 833, 7., 9., 6. 834, 8., 9., 6. 835, 9., 9., 6. 836, 10., 9., 6. 837, 0., 10., 6. 838, 1., 10., 6. 839, 2., 10., 6. 840, 3., 10., 6. 841, 4., 10., 6. 842, 5., 10., 6. 843, 6., 10., 6. 844, 7., 10., 6. 845, 8., 10., 6. 846, 9., 10., 6. 847, 10., 10., 6. 848, 0., 0., 7. 849, 1., 0., 7. 850, 2., 0., 7. 851, 3., 0., 7. 852, 4., 0., 7. 853, 5., 0., 7. 854, 6., 0., 7. 855, 7., 0., 7. 856, 8., 0., 7. 857, 9., 0., 7. 858, 10., 0., 7. 859, 0., 1., 7. 860, 1., 1., 7. 861, 2., 1., 7. 862, 3., 1., 7. 863, 4., 1., 7. 864, 5., 1., 7. 865, 6., 1., 7. 866, 7., 1., 7. 867, 8., 1., 7. 868, 9., 1., 7. 869, 10., 1., 7. 870, 0., 2., 7. 871, 1., 2., 7. 872, 2., 2., 7. 873, 3., 2., 7. 874, 4., 2., 7. 875, 5., 2., 7. 876, 6., 2., 7. 877, 7., 2., 7. 878, 8., 2., 7. 879, 9., 2., 7. 880, 10., 2., 7. 881, 0., 3., 7. 882, 1., 3., 7. 883, 2., 3., 7. 884, 3., 3., 7. 885, 4., 3., 7. 886, 5., 3., 7. 887, 6., 3., 7. 888, 7., 3., 7. 889, 8., 3., 7. 890, 9., 3., 7. 891, 10., 3., 7. 892, 0., 4., 7. 893, 1., 4., 7. 894, 2., 4., 7. 895, 3., 4., 7. 896, 4., 4., 7. 897, 5., 4., 7. 898, 6., 4., 7. 899, 7., 4., 7. 900, 8., 4., 7. 901, 9., 4., 7. 902, 10., 4., 7. 903, 0., 5., 7. 904, 1., 5., 7. 905, 2., 5., 7. 906, 3., 5., 7. 907, 4., 5., 7. 908, 5., 5., 7. 909, 6., 5., 7. 910, 7., 5., 7. 911, 8., 5., 7. 912, 9., 5., 7. 913, 10., 5., 7. 914, 0., 6., 7. 915, 1., 6., 7. 916, 2., 6., 7. 917, 3., 6., 7. 918, 4., 6., 7. 919, 5., 6., 7. 920, 6., 6., 7. 921, 7., 6., 7. 922, 8., 6., 7. 923, 9., 6., 7. 924, 10., 6., 7. 925, 0., 7., 7. 926, 1., 7., 7. 927, 2., 7., 7. 928, 3., 7., 7. 929, 4., 7., 7. 930, 5., 7., 7. 931, 6., 7., 7. 932, 7., 7., 7. 933, 8., 7., 7. 934, 9., 7., 7. 935, 10., 7., 7. 936, 0., 8., 7. 937, 1., 8., 7. 938, 2., 8., 7. 939, 3., 8., 7. 940, 4., 8., 7. 941, 5., 8., 7. 942, 6., 8., 7. 943, 7., 8., 7. 944, 8., 8., 7. 945, 9., 8., 7. 946, 10., 8., 7. 947, 0., 9., 7. 948, 1., 9., 7. 949, 2., 9., 7. 950, 3., 9., 7. 951, 4., 9., 7. 952, 5., 9., 7. 953, 6., 9., 7. 954, 7., 9., 7. 955, 8., 9., 7. 956, 9., 9., 7. 957, 10., 9., 7. 958, 0., 10., 7. 959, 1., 10., 7. 960, 2., 10., 7. 961, 3., 10., 7. 962, 4., 10., 7. 963, 5., 10., 7. 964, 6., 10., 7. 965, 7., 10., 7. 966, 8., 10., 7. 967, 9., 10., 7. 968, 10., 10., 7. 969, 0., 0., 8. 970, 1., 0., 8. 971, 2., 0., 8. 972, 3., 0., 8. 973, 4., 0., 8. 974, 5., 0., 8. 975, 6., 0., 8. 976, 7., 0., 8. 977, 8., 0., 8. 978, 9., 0., 8. 979, 10., 0., 8. 980, 0., 1., 8. 981, 1., 1., 8. 982, 2., 1., 8. 983, 3., 1., 8. 984, 4., 1., 8. 985, 5., 1., 8. 986, 6., 1., 8. 987, 7., 1., 8. 988, 8., 1., 8. 989, 9., 1., 8. 990, 10., 1., 8. 991, 0., 2., 8. 992, 1., 2., 8. 993, 2., 2., 8. 994, 3., 2., 8. 995, 4., 2., 8. 996, 5., 2., 8. 997, 6., 2., 8. 998, 7., 2., 8. 999, 8., 2., 8. 1000, 9., 2., 8. 1001, 10., 2., 8. 1002, 0., 3., 8. 1003, 1., 3., 8. 1004, 2., 3., 8. 1005, 3., 3., 8. 1006, 4., 3., 8. 1007, 5., 3., 8. 1008, 6., 3., 8. 1009, 7., 3., 8. 1010, 8., 3., 8. 1011, 9., 3., 8. 1012, 10., 3., 8. 1013, 0., 4., 8. 1014, 1., 4., 8. 1015, 2., 4., 8. 1016, 3., 4., 8. 1017, 4., 4., 8. 1018, 5., 4., 8. 1019, 6., 4., 8. 1020, 7., 4., 8. 1021, 8., 4., 8. 1022, 9., 4., 8. 1023, 10., 4., 8. 1024, 0., 5., 8. 1025, 1., 5., 8. 1026, 2., 5., 8. 1027, 3., 5., 8. 1028, 4., 5., 8. 1029, 5., 5., 8. 1030, 6., 5., 8. 1031, 7., 5., 8. 1032, 8., 5., 8. 1033, 9., 5., 8. 1034, 10., 5., 8. 1035, 0., 6., 8. 1036, 1., 6., 8. 1037, 2., 6., 8. 1038, 3., 6., 8. 1039, 4., 6., 8. 1040, 5., 6., 8. 1041, 6., 6., 8. 1042, 7., 6., 8. 1043, 8., 6., 8. 1044, 9., 6., 8. 1045, 10., 6., 8. 1046, 0., 7., 8. 1047, 1., 7., 8. 1048, 2., 7., 8. 1049, 3., 7., 8. 1050, 4., 7., 8. 1051, 5., 7., 8. 1052, 6., 7., 8. 1053, 7., 7., 8. 1054, 8., 7., 8. 1055, 9., 7., 8. 1056, 10., 7., 8. 1057, 0., 8., 8. 1058, 1., 8., 8. 1059, 2., 8., 8. 1060, 3., 8., 8. 1061, 4., 8., 8. 1062, 5., 8., 8. 1063, 6., 8., 8. 1064, 7., 8., 8. 1065, 8., 8., 8. 1066, 9., 8., 8. 1067, 10., 8., 8. 1068, 0., 9., 8. 1069, 1., 9., 8. 1070, 2., 9., 8. 1071, 3., 9., 8. 1072, 4., 9., 8. 1073, 5., 9., 8. 1074, 6., 9., 8. 1075, 7., 9., 8. 1076, 8., 9., 8. 1077, 9., 9., 8. 1078, 10., 9., 8. 1079, 0., 10., 8. 1080, 1., 10., 8. 1081, 2., 10., 8. 1082, 3., 10., 8. 1083, 4., 10., 8. 1084, 5., 10., 8. 1085, 6., 10., 8. 1086, 7., 10., 8. 1087, 8., 10., 8. 1088, 9., 10., 8. 1089, 10., 10., 8. 1090, 0., 0., 9. 1091, 1., 0., 9. 1092, 2., 0., 9. 1093, 3., 0., 9. 1094, 4., 0., 9. 1095, 5., 0., 9. 1096, 6., 0., 9. 1097, 7., 0., 9. 1098, 8., 0., 9. 1099, 9., 0., 9. 1100, 10., 0., 9. 1101, 0., 1., 9. 1102, 1., 1., 9. 1103, 2., 1., 9. 1104, 3., 1., 9. 1105, 4., 1., 9. 1106, 5., 1., 9. 1107, 6., 1., 9. 1108, 7., 1., 9. 1109, 8., 1., 9. 1110, 9., 1., 9. 1111, 10., 1., 9. 1112, 0., 2., 9. 1113, 1., 2., 9. 1114, 2., 2., 9. 1115, 3., 2., 9. 1116, 4., 2., 9. 1117, 5., 2., 9. 1118, 6., 2., 9. 1119, 7., 2., 9. 1120, 8., 2., 9. 1121, 9., 2., 9. 1122, 10., 2., 9. 1123, 0., 3., 9. 1124, 1., 3., 9. 1125, 2., 3., 9. 1126, 3., 3., 9. 1127, 4., 3., 9. 1128, 5., 3., 9. 1129, 6., 3., 9. 1130, 7., 3., 9. 1131, 8., 3., 9. 1132, 9., 3., 9. 1133, 10., 3., 9. 1134, 0., 4., 9. 1135, 1., 4., 9. 1136, 2., 4., 9. 1137, 3., 4., 9. 1138, 4., 4., 9. 1139, 5., 4., 9. 1140, 6., 4., 9. 1141, 7., 4., 9. 1142, 8., 4., 9. 1143, 9., 4., 9. 1144, 10., 4., 9. 1145, 0., 5., 9. 1146, 1., 5., 9. 1147, 2., 5., 9. 1148, 3., 5., 9. 1149, 4., 5., 9. 1150, 5., 5., 9. 1151, 6., 5., 9. 1152, 7., 5., 9. 1153, 8., 5., 9. 1154, 9., 5., 9. 1155, 10., 5., 9. 1156, 0., 6., 9. 1157, 1., 6., 9. 1158, 2., 6., 9. 1159, 3., 6., 9. 1160, 4., 6., 9. 1161, 5., 6., 9. 1162, 6., 6., 9. 1163, 7., 6., 9. 1164, 8., 6., 9. 1165, 9., 6., 9. 1166, 10., 6., 9. 1167, 0., 7., 9. 1168, 1., 7., 9. 1169, 2., 7., 9. 1170, 3., 7., 9. 1171, 4., 7., 9. 1172, 5., 7., 9. 1173, 6., 7., 9. 1174, 7., 7., 9. 1175, 8., 7., 9. 1176, 9., 7., 9. 1177, 10., 7., 9. 1178, 0., 8., 9. 1179, 1., 8., 9. 1180, 2., 8., 9. 1181, 3., 8., 9. 1182, 4., 8., 9. 1183, 5., 8., 9. 1184, 6., 8., 9. 1185, 7., 8., 9. 1186, 8., 8., 9. 1187, 9., 8., 9. 1188, 10., 8., 9. 1189, 0., 9., 9. 1190, 1., 9., 9. 1191, 2., 9., 9. 1192, 3., 9., 9. 1193, 4., 9., 9. 1194, 5., 9., 9. 1195, 6., 9., 9. 1196, 7., 9., 9. 1197, 8., 9., 9. 1198, 9., 9., 9. 1199, 10., 9., 9. 1200, 0., 10., 9. 1201, 1., 10., 9. 1202, 2., 10., 9. 1203, 3., 10., 9. 1204, 4., 10., 9. 1205, 5., 10., 9. 1206, 6., 10., 9. 1207, 7., 10., 9. 1208, 8., 10., 9. 1209, 9., 10., 9. 1210, 10., 10., 9. 1211, 0., 0., 10. 1212, 1., 0., 10. 1213, 2., 0., 10. 1214, 3., 0., 10. 1215, 4., 0., 10. 1216, 5., 0., 10. 1217, 6., 0., 10. 1218, 7., 0., 10. 1219, 8., 0., 10. 1220, 9., 0., 10. 1221, 10., 0., 10. 1222, 0., 1., 10. 1223, 1., 1., 10. 1224, 2., 1., 10. 1225, 3., 1., 10. 1226, 4., 1., 10. 1227, 5., 1., 10. 1228, 6., 1., 10. 1229, 7., 1., 10. 1230, 8., 1., 10. 1231, 9., 1., 10. 1232, 10., 1., 10. 1233, 0., 2., 10. 1234, 1., 2., 10. 1235, 2., 2., 10. 1236, 3., 2., 10. 1237, 4., 2., 10. 1238, 5., 2., 10. 1239, 6., 2., 10. 1240, 7., 2., 10. 1241, 8., 2., 10. 1242, 9., 2., 10. 1243, 10., 2., 10. 1244, 0., 3., 10. 1245, 1., 3., 10. 1246, 2., 3., 10. 1247, 3., 3., 10. 1248, 4., 3., 10. 1249, 5., 3., 10. 1250, 6., 3., 10. 1251, 7., 3., 10. 1252, 8., 3., 10. 1253, 9., 3., 10. 1254, 10., 3., 10. 1255, 0., 4., 10. 1256, 1., 4., 10. 1257, 2., 4., 10. 1258, 3., 4., 10. 1259, 4., 4., 10. 1260, 5., 4., 10. 1261, 6., 4., 10. 1262, 7., 4., 10. 1263, 8., 4., 10. 1264, 9., 4., 10. 1265, 10., 4., 10. 1266, 0., 5., 10. 1267, 1., 5., 10. 1268, 2., 5., 10. 1269, 3., 5., 10. 1270, 4., 5., 10. 1271, 5., 5., 10. 1272, 6., 5., 10. 1273, 7., 5., 10. 1274, 8., 5., 10. 1275, 9., 5., 10. 1276, 10., 5., 10. 1277, 0., 6., 10. 1278, 1., 6., 10. 1279, 2., 6., 10. 1280, 3., 6., 10. 1281, 4., 6., 10. 1282, 5., 6., 10. 1283, 6., 6., 10. 1284, 7., 6., 10. 1285, 8., 6., 10. 1286, 9., 6., 10. 1287, 10., 6., 10. 1288, 0., 7., 10. 1289, 1., 7., 10. 1290, 2., 7., 10. 1291, 3., 7., 10. 1292, 4., 7., 10. 1293, 5., 7., 10. 1294, 6., 7., 10. 1295, 7., 7., 10. 1296, 8., 7., 10. 1297, 9., 7., 10. 1298, 10., 7., 10. 1299, 0., 8., 10. 1300, 1., 8., 10. 1301, 2., 8., 10. 1302, 3., 8., 10. 1303, 4., 8., 10. 1304, 5., 8., 10. 1305, 6., 8., 10. 1306, 7., 8., 10. 1307, 8., 8., 10. 1308, 9., 8., 10. 1309, 10., 8., 10. 1310, 0., 9., 10. 1311, 1., 9., 10. 1312, 2., 9., 10. 1313, 3., 9., 10. 1314, 4., 9., 10. 1315, 5., 9., 10. 1316, 6., 9., 10. 1317, 7., 9., 10. 1318, 8., 9., 10. 1319, 9., 9., 10. 1320, 10., 9., 10. 1321, 0., 10., 10. 1322, 1., 10., 10. 1323, 2., 10., 10. 1324, 3., 10., 10. 1325, 4., 10., 10. 1326, 5., 10., 10. 1327, 6., 10., 10. 1328, 7., 10., 10. 1329, 8., 10., 10. 1330, 9., 10., 10. 1331, 10., 10., 10. *Element, type=C3D8 1, 123, 2, 1, 122, 134, 13, 12, 133 2, 124, 3, 2, 123, 135, 14, 13, 134 3, 125, 4, 3, 124, 136, 15, 14, 135 4, 126, 5, 4, 125, 137, 16, 15, 136 5, 127, 6, 5, 126, 138, 17, 16, 137 6, 128, 7, 6, 127, 139, 18, 17, 138 7, 129, 8, 7, 128, 140, 19, 18, 139 8, 130, 9, 8, 129, 141, 20, 19, 140 9, 131, 10, 9, 130, 142, 21, 20, 141 10, 132, 11, 10, 131, 143, 22, 21, 142 11, 134, 13, 12, 133, 145, 24, 23, 144 12, 135, 14, 13, 134, 146, 25, 24, 145 13, 136, 15, 14, 135, 147, 26, 25, 146 14, 137, 16, 15, 136, 148, 27, 26, 147 15, 138, 17, 16, 137, 149, 28, 27, 148 16, 139, 18, 17, 138, 150, 29, 28, 149 17, 140, 19, 18, 139, 151, 30, 29, 150 18, 141, 20, 19, 140, 152, 31, 30, 151 19, 142, 21, 20, 141, 153, 32, 31, 152 20, 143, 22, 21, 142, 154, 33, 32, 153 21, 145, 24, 23, 144, 156, 35, 34, 155 22, 146, 25, 24, 145, 157, 36, 35, 156 23, 147, 26, 25, 146, 158, 37, 36, 157 24, 148, 27, 26, 147, 159, 38, 37, 158 25, 149, 28, 27, 148, 160, 39, 38, 159 26, 150, 29, 28, 149, 161, 40, 39, 160 27, 151, 30, 29, 150, 162, 41, 40, 161 28, 152, 31, 30, 151, 163, 42, 41, 162 29, 153, 32, 31, 152, 164, 43, 42, 163 30, 154, 33, 32, 153, 165, 44, 43, 164 31, 156, 35, 34, 155, 167, 46, 45, 166 32, 157, 36, 35, 156, 168, 47, 46, 167 33, 158, 37, 36, 157, 169, 48, 47, 168 34, 159, 38, 37, 158, 170, 49, 48, 169 35, 160, 39, 38, 159, 171, 50, 49, 170 36, 161, 40, 39, 160, 172, 51, 50, 171 37, 162, 41, 40, 161, 173, 52, 51, 172 38, 163, 42, 41, 162, 174, 53, 52, 173 39, 164, 43, 42, 163, 175, 54, 53, 174 40, 165, 44, 43, 164, 176, 55, 54, 175 41, 167, 46, 45, 166, 178, 57, 56, 177 42, 168, 47, 46, 167, 179, 58, 57, 178 43, 169, 48, 47, 168, 180, 59, 58, 179 44, 170, 49, 48, 169, 181, 60, 59, 180 45, 171, 50, 49, 170, 182, 61, 60, 181 46, 172, 51, 50, 171, 183, 62, 61, 182 47, 173, 52, 51, 172, 184, 63, 62, 183 48, 174, 53, 52, 173, 185, 64, 63, 184 49, 175, 54, 53, 174, 186, 65, 64, 185 50, 176, 55, 54, 175, 187, 66, 65, 186 51, 178, 57, 56, 177, 189, 68, 67, 188 52, 179, 58, 57, 178, 190, 69, 68, 189 53, 180, 59, 58, 179, 191, 70, 69, 190 54, 181, 60, 59, 180, 192, 71, 70, 191 55, 182, 61, 60, 181, 193, 72, 71, 192 56, 183, 62, 61, 182, 194, 73, 72, 193 57, 184, 63, 62, 183, 195, 74, 73, 194 58, 185, 64, 63, 184, 196, 75, 74, 195 59, 186, 65, 64, 185, 197, 76, 75, 196 60, 187, 66, 65, 186, 198, 77, 76, 197 61, 189, 68, 67, 188, 200, 79, 78, 199 62, 190, 69, 68, 189, 201, 80, 79, 200 63, 191, 70, 69, 190, 202, 81, 80, 201 64, 192, 71, 70, 191, 203, 82, 81, 202 65, 193, 72, 71, 192, 204, 83, 82, 203 66, 194, 73, 72, 193, 205, 84, 83, 204 67, 195, 74, 73, 194, 206, 85, 84, 205 68, 196, 75, 74, 195, 207, 86, 85, 206 69, 197, 76, 75, 196, 208, 87, 86, 207 70, 198, 77, 76, 197, 209, 88, 87, 208 71, 200, 79, 78, 199, 211, 90, 89, 210 72, 201, 80, 79, 200, 212, 91, 90, 211 73, 202, 81, 80, 201, 213, 92, 91, 212 74, 203, 82, 81, 202, 214, 93, 92, 213 75, 204, 83, 82, 203, 215, 94, 93, 214 76, 205, 84, 83, 204, 216, 95, 94, 215 77, 206, 85, 84, 205, 217, 96, 95, 216 78, 207, 86, 85, 206, 218, 97, 96, 217 79, 208, 87, 86, 207, 219, 98, 97, 218 80, 209, 88, 87, 208, 220, 99, 98, 219 81, 211, 90, 89, 210, 222, 101, 100, 221 82, 212, 91, 90, 211, 223, 102, 101, 222 83, 213, 92, 91, 212, 224, 103, 102, 223 84, 214, 93, 92, 213, 225, 104, 103, 224 85, 215, 94, 93, 214, 226, 105, 104, 225 86, 216, 95, 94, 215, 227, 106, 105, 226 87, 217, 96, 95, 216, 228, 107, 106, 227 88, 218, 97, 96, 217, 229, 108, 107, 228 89, 219, 98, 97, 218, 230, 109, 108, 229 90, 220, 99, 98, 219, 231, 110, 109, 230 91, 222, 101, 100, 221, 233, 112, 111, 232 92, 223, 102, 101, 222, 234, 113, 112, 233 93, 224, 103, 102, 223, 235, 114, 113, 234 94, 225, 104, 103, 224, 236, 115, 114, 235 95, 226, 105, 104, 225, 237, 116, 115, 236 96, 227, 106, 105, 226, 238, 117, 116, 237 97, 228, 107, 106, 227, 239, 118, 117, 238 98, 229, 108, 107, 228, 240, 119, 118, 239 99, 230, 109, 108, 229, 241, 120, 119, 240 100, 231, 110, 109, 230, 242, 121, 120, 241 101, 244, 123, 122, 243, 255, 134, 133, 254 102, 245, 124, 123, 244, 256, 135, 134, 255 103, 246, 125, 124, 245, 257, 136, 135, 256 104, 247, 126, 125, 246, 258, 137, 136, 257 105, 248, 127, 126, 247, 259, 138, 137, 258 106, 249, 128, 127, 248, 260, 139, 138, 259 107, 250, 129, 128, 249, 261, 140, 139, 260 108, 251, 130, 129, 250, 262, 141, 140, 261 109, 252, 131, 130, 251, 263, 142, 141, 262 110, 253, 132, 131, 252, 264, 143, 142, 263 111, 255, 134, 133, 254, 266, 145, 144, 265 112, 256, 135, 134, 255, 267, 146, 145, 266 113, 257, 136, 135, 256, 268, 147, 146, 267 114, 258, 137, 136, 257, 269, 148, 147, 268 115, 259, 138, 137, 258, 270, 149, 148, 269 116, 260, 139, 138, 259, 271, 150, 149, 270 117, 261, 140, 139, 260, 272, 151, 150, 271 118, 262, 141, 140, 261, 273, 152, 151, 272 119, 263, 142, 141, 262, 274, 153, 152, 273 120, 264, 143, 142, 263, 275, 154, 153, 274 121, 266, 145, 144, 265, 277, 156, 155, 276 122, 267, 146, 145, 266, 278, 157, 156, 277 123, 268, 147, 146, 267, 279, 158, 157, 278 124, 269, 148, 147, 268, 280, 159, 158, 279 125, 270, 149, 148, 269, 281, 160, 159, 280 126, 271, 150, 149, 270, 282, 161, 160, 281 127, 272, 151, 150, 271, 283, 162, 161, 282 128, 273, 152, 151, 272, 284, 163, 162, 283 129, 274, 153, 152, 273, 285, 164, 163, 284 130, 275, 154, 153, 274, 286, 165, 164, 285 131, 277, 156, 155, 276, 288, 167, 166, 287 132, 278, 157, 156, 277, 289, 168, 167, 288 133, 279, 158, 157, 278, 290, 169, 168, 289 134, 280, 159, 158, 279, 291, 170, 169, 290 135, 281, 160, 159, 280, 292, 171, 170, 291 136, 282, 161, 160, 281, 293, 172, 171, 292 137, 283, 162, 161, 282, 294, 173, 172, 293 138, 284, 163, 162, 283, 295, 174, 173, 294 139, 285, 164, 163, 284, 296, 175, 174, 295 140, 286, 165, 164, 285, 297, 176, 175, 296 141, 288, 167, 166, 287, 299, 178, 177, 298 142, 289, 168, 167, 288, 300, 179, 178, 299 143, 290, 169, 168, 289, 301, 180, 179, 300 144, 291, 170, 169, 290, 302, 181, 180, 301 145, 292, 171, 170, 291, 303, 182, 181, 302 146, 293, 172, 171, 292, 304, 183, 182, 303 147, 294, 173, 172, 293, 305, 184, 183, 304 148, 295, 174, 173, 294, 306, 185, 184, 305 149, 296, 175, 174, 295, 307, 186, 185, 306 150, 297, 176, 175, 296, 308, 187, 186, 307 151, 299, 178, 177, 298, 310, 189, 188, 309 152, 300, 179, 178, 299, 311, 190, 189, 310 153, 301, 180, 179, 300, 312, 191, 190, 311 154, 302, 181, 180, 301, 313, 192, 191, 312 155, 303, 182, 181, 302, 314, 193, 192, 313 156, 304, 183, 182, 303, 315, 194, 193, 314 157, 305, 184, 183, 304, 316, 195, 194, 315 158, 306, 185, 184, 305, 317, 196, 195, 316 159, 307, 186, 185, 306, 318, 197, 196, 317 160, 308, 187, 186, 307, 319, 198, 197, 318 161, 310, 189, 188, 309, 321, 200, 199, 320 162, 311, 190, 189, 310, 322, 201, 200, 321 163, 312, 191, 190, 311, 323, 202, 201, 322 164, 313, 192, 191, 312, 324, 203, 202, 323 165, 314, 193, 192, 313, 325, 204, 203, 324 166, 315, 194, 193, 314, 326, 205, 204, 325 167, 316, 195, 194, 315, 327, 206, 205, 326 168, 317, 196, 195, 316, 328, 207, 206, 327 169, 318, 197, 196, 317, 329, 208, 207, 328 170, 319, 198, 197, 318, 330, 209, 208, 329 171, 321, 200, 199, 320, 332, 211, 210, 331 172, 322, 201, 200, 321, 333, 212, 211, 332 173, 323, 202, 201, 322, 334, 213, 212, 333 174, 324, 203, 202, 323, 335, 214, 213, 334 175, 325, 204, 203, 324, 336, 215, 214, 335 176, 326, 205, 204, 325, 337, 216, 215, 336 177, 327, 206, 205, 326, 338, 217, 216, 337 178, 328, 207, 206, 327, 339, 218, 217, 338 179, 329, 208, 207, 328, 340, 219, 218, 339 180, 330, 209, 208, 329, 341, 220, 219, 340 181, 332, 211, 210, 331, 343, 222, 221, 342 182, 333, 212, 211, 332, 344, 223, 222, 343 183, 334, 213, 212, 333, 345, 224, 223, 344 184, 335, 214, 213, 334, 346, 225, 224, 345 185, 336, 215, 214, 335, 347, 226, 225, 346 186, 337, 216, 215, 336, 348, 227, 226, 347 187, 338, 217, 216, 337, 349, 228, 227, 348 188, 339, 218, 217, 338, 350, 229, 228, 349 189, 340, 219, 218, 339, 351, 230, 229, 350 190, 341, 220, 219, 340, 352, 231, 230, 351 191, 343, 222, 221, 342, 354, 233, 232, 353 192, 344, 223, 222, 343, 355, 234, 233, 354 193, 345, 224, 223, 344, 356, 235, 234, 355 194, 346, 225, 224, 345, 357, 236, 235, 356 195, 347, 226, 225, 346, 358, 237, 236, 357 196, 348, 227, 226, 347, 359, 238, 237, 358 197, 349, 228, 227, 348, 360, 239, 238, 359 198, 350, 229, 228, 349, 361, 240, 239, 360 199, 351, 230, 229, 350, 362, 241, 240, 361 200, 352, 231, 230, 351, 363, 242, 241, 362 201, 365, 244, 243, 364, 376, 255, 254, 375 202, 366, 245, 244, 365, 377, 256, 255, 376 203, 367, 246, 245, 366, 378, 257, 256, 377 204, 368, 247, 246, 367, 379, 258, 257, 378 205, 369, 248, 247, 368, 380, 259, 258, 379 206, 370, 249, 248, 369, 381, 260, 259, 380 207, 371, 250, 249, 370, 382, 261, 260, 381 208, 372, 251, 250, 371, 383, 262, 261, 382 209, 373, 252, 251, 372, 384, 263, 262, 383 210, 374, 253, 252, 373, 385, 264, 263, 384 211, 376, 255, 254, 375, 387, 266, 265, 386 212, 377, 256, 255, 376, 388, 267, 266, 387 213, 378, 257, 256, 377, 389, 268, 267, 388 214, 379, 258, 257, 378, 390, 269, 268, 389 215, 380, 259, 258, 379, 391, 270, 269, 390 216, 381, 260, 259, 380, 392, 271, 270, 391 217, 382, 261, 260, 381, 393, 272, 271, 392 218, 383, 262, 261, 382, 394, 273, 272, 393 219, 384, 263, 262, 383, 395, 274, 273, 394 220, 385, 264, 263, 384, 396, 275, 274, 395 221, 387, 266, 265, 386, 398, 277, 276, 397 222, 388, 267, 266, 387, 399, 278, 277, 398 223, 389, 268, 267, 388, 400, 279, 278, 399 224, 390, 269, 268, 389, 401, 280, 279, 400 225, 391, 270, 269, 390, 402, 281, 280, 401 226, 392, 271, 270, 391, 403, 282, 281, 402 227, 393, 272, 271, 392, 404, 283, 282, 403 228, 394, 273, 272, 393, 405, 284, 283, 404 229, 395, 274, 273, 394, 406, 285, 284, 405 230, 396, 275, 274, 395, 407, 286, 285, 406 231, 398, 277, 276, 397, 409, 288, 287, 408 232, 399, 278, 277, 398, 410, 289, 288, 409 233, 400, 279, 278, 399, 411, 290, 289, 410 234, 401, 280, 279, 400, 412, 291, 290, 411 235, 402, 281, 280, 401, 413, 292, 291, 412 236, 403, 282, 281, 402, 414, 293, 292, 413 237, 404, 283, 282, 403, 415, 294, 293, 414 238, 405, 284, 283, 404, 416, 295, 294, 415 239, 406, 285, 284, 405, 417, 296, 295, 416 240, 407, 286, 285, 406, 418, 297, 296, 417 241, 409, 288, 287, 408, 420, 299, 298, 419 242, 410, 289, 288, 409, 421, 300, 299, 420 243, 411, 290, 289, 410, 422, 301, 300, 421 244, 412, 291, 290, 411, 423, 302, 301, 422 245, 413, 292, 291, 412, 424, 303, 302, 423 246, 414, 293, 292, 413, 425, 304, 303, 424 247, 415, 294, 293, 414, 426, 305, 304, 425 248, 416, 295, 294, 415, 427, 306, 305, 426 249, 417, 296, 295, 416, 428, 307, 306, 427 250, 418, 297, 296, 417, 429, 308, 307, 428 251, 420, 299, 298, 419, 431, 310, 309, 430 252, 421, 300, 299, 420, 432, 311, 310, 431 253, 422, 301, 300, 421, 433, 312, 311, 432 254, 423, 302, 301, 422, 434, 313, 312, 433 255, 424, 303, 302, 423, 435, 314, 313, 434 256, 425, 304, 303, 424, 436, 315, 314, 435 257, 426, 305, 304, 425, 437, 316, 315, 436 258, 427, 306, 305, 426, 438, 317, 316, 437 259, 428, 307, 306, 427, 439, 318, 317, 438 260, 429, 308, 307, 428, 440, 319, 318, 439 261, 431, 310, 309, 430, 442, 321, 320, 441 262, 432, 311, 310, 431, 443, 322, 321, 442 263, 433, 312, 311, 432, 444, 323, 322, 443 264, 434, 313, 312, 433, 445, 324, 323, 444 265, 435, 314, 313, 434, 446, 325, 324, 445 266, 436, 315, 314, 435, 447, 326, 325, 446 267, 437, 316, 315, 436, 448, 327, 326, 447 268, 438, 317, 316, 437, 449, 328, 327, 448 269, 439, 318, 317, 438, 450, 329, 328, 449 270, 440, 319, 318, 439, 451, 330, 329, 450 271, 442, 321, 320, 441, 453, 332, 331, 452 272, 443, 322, 321, 442, 454, 333, 332, 453 273, 444, 323, 322, 443, 455, 334, 333, 454 274, 445, 324, 323, 444, 456, 335, 334, 455 275, 446, 325, 324, 445, 457, 336, 335, 456 276, 447, 326, 325, 446, 458, 337, 336, 457 277, 448, 327, 326, 447, 459, 338, 337, 458 278, 449, 328, 327, 448, 460, 339, 338, 459 279, 450, 329, 328, 449, 461, 340, 339, 460 280, 451, 330, 329, 450, 462, 341, 340, 461 281, 453, 332, 331, 452, 464, 343, 342, 463 282, 454, 333, 332, 453, 465, 344, 343, 464 283, 455, 334, 333, 454, 466, 345, 344, 465 284, 456, 335, 334, 455, 467, 346, 345, 466 285, 457, 336, 335, 456, 468, 347, 346, 467 286, 458, 337, 336, 457, 469, 348, 347, 468 287, 459, 338, 337, 458, 470, 349, 348, 469 288, 460, 339, 338, 459, 471, 350, 349, 470 289, 461, 340, 339, 460, 472, 351, 350, 471 290, 462, 341, 340, 461, 473, 352, 351, 472 291, 464, 343, 342, 463, 475, 354, 353, 474 292, 465, 344, 343, 464, 476, 355, 354, 475 293, 466, 345, 344, 465, 477, 356, 355, 476 294, 467, 346, 345, 466, 478, 357, 356, 477 295, 468, 347, 346, 467, 479, 358, 357, 478 296, 469, 348, 347, 468, 480, 359, 358, 479 297, 470, 349, 348, 469, 481, 360, 359, 480 298, 471, 350, 349, 470, 482, 361, 360, 481 299, 472, 351, 350, 471, 483, 362, 361, 482 300, 473, 352, 351, 472, 484, 363, 362, 483 301, 486, 365, 364, 485, 497, 376, 375, 496 302, 487, 366, 365, 486, 498, 377, 376, 497 303, 488, 367, 366, 487, 499, 378, 377, 498 304, 489, 368, 367, 488, 500, 379, 378, 499 305, 490, 369, 368, 489, 501, 380, 379, 500 306, 491, 370, 369, 490, 502, 381, 380, 501 307, 492, 371, 370, 491, 503, 382, 381, 502 308, 493, 372, 371, 492, 504, 383, 382, 503 309, 494, 373, 372, 493, 505, 384, 383, 504 310, 495, 374, 373, 494, 506, 385, 384, 505 311, 497, 376, 375, 496, 508, 387, 386, 507 312, 498, 377, 376, 497, 509, 388, 387, 508 313, 499, 378, 377, 498, 510, 389, 388, 509 314, 500, 379, 378, 499, 511, 390, 389, 510 315, 501, 380, 379, 500, 512, 391, 390, 511 316, 502, 381, 380, 501, 513, 392, 391, 512 317, 503, 382, 381, 502, 514, 393, 392, 513 318, 504, 383, 382, 503, 515, 394, 393, 514 319, 505, 384, 383, 504, 516, 395, 394, 515 320, 506, 385, 384, 505, 517, 396, 395, 516 321, 508, 387, 386, 507, 519, 398, 397, 518 322, 509, 388, 387, 508, 520, 399, 398, 519 323, 510, 389, 388, 509, 521, 400, 399, 520 324, 511, 390, 389, 510, 522, 401, 400, 521 325, 512, 391, 390, 511, 523, 402, 401, 522 326, 513, 392, 391, 512, 524, 403, 402, 523 327, 514, 393, 392, 513, 525, 404, 403, 524 328, 515, 394, 393, 514, 526, 405, 404, 525 329, 516, 395, 394, 515, 527, 406, 405, 526 330, 517, 396, 395, 516, 528, 407, 406, 527 331, 519, 398, 397, 518, 530, 409, 408, 529 332, 520, 399, 398, 519, 531, 410, 409, 530 333, 521, 400, 399, 520, 532, 411, 410, 531 334, 522, 401, 400, 521, 533, 412, 411, 532 335, 523, 402, 401, 522, 534, 413, 412, 533 336, 524, 403, 402, 523, 535, 414, 413, 534 337, 525, 404, 403, 524, 536, 415, 414, 535 338, 526, 405, 404, 525, 537, 416, 415, 536 339, 527, 406, 405, 526, 538, 417, 416, 537 340, 528, 407, 406, 527, 539, 418, 417, 538 341, 530, 409, 408, 529, 541, 420, 419, 540 342, 531, 410, 409, 530, 542, 421, 420, 541 343, 532, 411, 410, 531, 543, 422, 421, 542 344, 533, 412, 411, 532, 544, 423, 422, 543 345, 534, 413, 412, 533, 545, 424, 423, 544 346, 535, 414, 413, 534, 546, 425, 424, 545 347, 536, 415, 414, 535, 547, 426, 425, 546 348, 537, 416, 415, 536, 548, 427, 426, 547 349, 538, 417, 416, 537, 549, 428, 427, 548 350, 539, 418, 417, 538, 550, 429, 428, 549 351, 541, 420, 419, 540, 552, 431, 430, 551 352, 542, 421, 420, 541, 553, 432, 431, 552 353, 543, 422, 421, 542, 554, 433, 432, 553 354, 544, 423, 422, 543, 555, 434, 433, 554 355, 545, 424, 423, 544, 556, 435, 434, 555 356, 546, 425, 424, 545, 557, 436, 435, 556 357, 547, 426, 425, 546, 558, 437, 436, 557 358, 548, 427, 426, 547, 559, 438, 437, 558 359, 549, 428, 427, 548, 560, 439, 438, 559 360, 550, 429, 428, 549, 561, 440, 439, 560 361, 552, 431, 430, 551, 563, 442, 441, 562 362, 553, 432, 431, 552, 564, 443, 442, 563 363, 554, 433, 432, 553, 565, 444, 443, 564 364, 555, 434, 433, 554, 566, 445, 444, 565 365, 556, 435, 434, 555, 567, 446, 445, 566 366, 557, 436, 435, 556, 568, 447, 446, 567 367, 558, 437, 436, 557, 569, 448, 447, 568 368, 559, 438, 437, 558, 570, 449, 448, 569 369, 560, 439, 438, 559, 571, 450, 449, 570 370, 561, 440, 439, 560, 572, 451, 450, 571 371, 563, 442, 441, 562, 574, 453, 452, 573 372, 564, 443, 442, 563, 575, 454, 453, 574 373, 565, 444, 443, 564, 576, 455, 454, 575 374, 566, 445, 444, 565, 577, 456, 455, 576 375, 567, 446, 445, 566, 578, 457, 456, 577 376, 568, 447, 446, 567, 579, 458, 457, 578 377, 569, 448, 447, 568, 580, 459, 458, 579 378, 570, 449, 448, 569, 581, 460, 459, 580 379, 571, 450, 449, 570, 582, 461, 460, 581 380, 572, 451, 450, 571, 583, 462, 461, 582 381, 574, 453, 452, 573, 585, 464, 463, 584 382, 575, 454, 453, 574, 586, 465, 464, 585 383, 576, 455, 454, 575, 587, 466, 465, 586 384, 577, 456, 455, 576, 588, 467, 466, 587 385, 578, 457, 456, 577, 589, 468, 467, 588 386, 579, 458, 457, 578, 590, 469, 468, 589 387, 580, 459, 458, 579, 591, 470, 469, 590 388, 581, 460, 459, 580, 592, 471, 470, 591 389, 582, 461, 460, 581, 593, 472, 471, 592 390, 583, 462, 461, 582, 594, 473, 472, 593 391, 585, 464, 463, 584, 596, 475, 474, 595 392, 586, 465, 464, 585, 597, 476, 475, 596 393, 587, 466, 465, 586, 598, 477, 476, 597 394, 588, 467, 466, 587, 599, 478, 477, 598 395, 589, 468, 467, 588, 600, 479, 478, 599 396, 590, 469, 468, 589, 601, 480, 479, 600 397, 591, 470, 469, 590, 602, 481, 480, 601 398, 592, 471, 470, 591, 603, 482, 481, 602 399, 593, 472, 471, 592, 604, 483, 482, 603 400, 594, 473, 472, 593, 605, 484, 483, 604 401, 607, 486, 485, 606, 618, 497, 496, 617 402, 608, 487, 486, 607, 619, 498, 497, 618 403, 609, 488, 487, 608, 620, 499, 498, 619 404, 610, 489, 488, 609, 621, 500, 499, 620 405, 611, 490, 489, 610, 622, 501, 500, 621 406, 612, 491, 490, 611, 623, 502, 501, 622 407, 613, 492, 491, 612, 624, 503, 502, 623 408, 614, 493, 492, 613, 625, 504, 503, 624 409, 615, 494, 493, 614, 626, 505, 504, 625 410, 616, 495, 494, 615, 627, 506, 505, 626 411, 618, 497, 496, 617, 629, 508, 507, 628 412, 619, 498, 497, 618, 630, 509, 508, 629 413, 620, 499, 498, 619, 631, 510, 509, 630 414, 621, 500, 499, 620, 632, 511, 510, 631 415, 622, 501, 500, 621, 633, 512, 511, 632 416, 623, 502, 501, 622, 634, 513, 512, 633 417, 624, 503, 502, 623, 635, 514, 513, 634 418, 625, 504, 503, 624, 636, 515, 514, 635 419, 626, 505, 504, 625, 637, 516, 515, 636 420, 627, 506, 505, 626, 638, 517, 516, 637 421, 629, 508, 507, 628, 640, 519, 518, 639 422, 630, 509, 508, 629, 641, 520, 519, 640 423, 631, 510, 509, 630, 642, 521, 520, 641 424, 632, 511, 510, 631, 643, 522, 521, 642 425, 633, 512, 511, 632, 644, 523, 522, 643 426, 634, 513, 512, 633, 645, 524, 523, 644 427, 635, 514, 513, 634, 646, 525, 524, 645 428, 636, 515, 514, 635, 647, 526, 525, 646 429, 637, 516, 515, 636, 648, 527, 526, 647 430, 638, 517, 516, 637, 649, 528, 527, 648 431, 640, 519, 518, 639, 651, 530, 529, 650 432, 641, 520, 519, 640, 652, 531, 530, 651 433, 642, 521, 520, 641, 653, 532, 531, 652 434, 643, 522, 521, 642, 654, 533, 532, 653 435, 644, 523, 522, 643, 655, 534, 533, 654 436, 645, 524, 523, 644, 656, 535, 534, 655 437, 646, 525, 524, 645, 657, 536, 535, 656 438, 647, 526, 525, 646, 658, 537, 536, 657 439, 648, 527, 526, 647, 659, 538, 537, 658 440, 649, 528, 527, 648, 660, 539, 538, 659 441, 651, 530, 529, 650, 662, 541, 540, 661 442, 652, 531, 530, 651, 663, 542, 541, 662 443, 653, 532, 531, 652, 664, 543, 542, 663 444, 654, 533, 532, 653, 665, 544, 543, 664 445, 655, 534, 533, 654, 666, 545, 544, 665 446, 656, 535, 534, 655, 667, 546, 545, 666 447, 657, 536, 535, 656, 668, 547, 546, 667 448, 658, 537, 536, 657, 669, 548, 547, 668 449, 659, 538, 537, 658, 670, 549, 548, 669 450, 660, 539, 538, 659, 671, 550, 549, 670 451, 662, 541, 540, 661, 673, 552, 551, 672 452, 663, 542, 541, 662, 674, 553, 552, 673 453, 664, 543, 542, 663, 675, 554, 553, 674 454, 665, 544, 543, 664, 676, 555, 554, 675 455, 666, 545, 544, 665, 677, 556, 555, 676 456, 667, 546, 545, 666, 678, 557, 556, 677 457, 668, 547, 546, 667, 679, 558, 557, 678 458, 669, 548, 547, 668, 680, 559, 558, 679 459, 670, 549, 548, 669, 681, 560, 559, 680 460, 671, 550, 549, 670, 682, 561, 560, 681 461, 673, 552, 551, 672, 684, 563, 562, 683 462, 674, 553, 552, 673, 685, 564, 563, 684 463, 675, 554, 553, 674, 686, 565, 564, 685 464, 676, 555, 554, 675, 687, 566, 565, 686 465, 677, 556, 555, 676, 688, 567, 566, 687 466, 678, 557, 556, 677, 689, 568, 567, 688 467, 679, 558, 557, 678, 690, 569, 568, 689 468, 680, 559, 558, 679, 691, 570, 569, 690 469, 681, 560, 559, 680, 692, 571, 570, 691 470, 682, 561, 560, 681, 693, 572, 571, 692 471, 684, 563, 562, 683, 695, 574, 573, 694 472, 685, 564, 563, 684, 696, 575, 574, 695 473, 686, 565, 564, 685, 697, 576, 575, 696 474, 687, 566, 565, 686, 698, 577, 576, 697 475, 688, 567, 566, 687, 699, 578, 577, 698 476, 689, 568, 567, 688, 700, 579, 578, 699 477, 690, 569, 568, 689, 701, 580, 579, 700 478, 691, 570, 569, 690, 702, 581, 580, 701 479, 692, 571, 570, 691, 703, 582, 581, 702 480, 693, 572, 571, 692, 704, 583, 582, 703 481, 695, 574, 573, 694, 706, 585, 584, 705 482, 696, 575, 574, 695, 707, 586, 585, 706 483, 697, 576, 575, 696, 708, 587, 586, 707 484, 698, 577, 576, 697, 709, 588, 587, 708 485, 699, 578, 577, 698, 710, 589, 588, 709 486, 700, 579, 578, 699, 711, 590, 589, 710 487, 701, 580, 579, 700, 712, 591, 590, 711 488, 702, 581, 580, 701, 713, 592, 591, 712 489, 703, 582, 581, 702, 714, 593, 592, 713 490, 704, 583, 582, 703, 715, 594, 593, 714 491, 706, 585, 584, 705, 717, 596, 595, 716 492, 707, 586, 585, 706, 718, 597, 596, 717 493, 708, 587, 586, 707, 719, 598, 597, 718 494, 709, 588, 587, 708, 720, 599, 598, 719 495, 710, 589, 588, 709, 721, 600, 599, 720 496, 711, 590, 589, 710, 722, 601, 600, 721 497, 712, 591, 590, 711, 723, 602, 601, 722 498, 713, 592, 591, 712, 724, 603, 602, 723 499, 714, 593, 592, 713, 725, 604, 603, 724 500, 715, 594, 593, 714, 726, 605, 604, 725 501, 728, 607, 606, 727, 739, 618, 617, 738 502, 729, 608, 607, 728, 740, 619, 618, 739 503, 730, 609, 608, 729, 741, 620, 619, 740 504, 731, 610, 609, 730, 742, 621, 620, 741 505, 732, 611, 610, 731, 743, 622, 621, 742 506, 733, 612, 611, 732, 744, 623, 622, 743 507, 734, 613, 612, 733, 745, 624, 623, 744 508, 735, 614, 613, 734, 746, 625, 624, 745 509, 736, 615, 614, 735, 747, 626, 625, 746 510, 737, 616, 615, 736, 748, 627, 626, 747 511, 739, 618, 617, 738, 750, 629, 628, 749 512, 740, 619, 618, 739, 751, 630, 629, 750 513, 741, 620, 619, 740, 752, 631, 630, 751 514, 742, 621, 620, 741, 753, 632, 631, 752 515, 743, 622, 621, 742, 754, 633, 632, 753 516, 744, 623, 622, 743, 755, 634, 633, 754 517, 745, 624, 623, 744, 756, 635, 634, 755 518, 746, 625, 624, 745, 757, 636, 635, 756 519, 747, 626, 625, 746, 758, 637, 636, 757 520, 748, 627, 626, 747, 759, 638, 637, 758 521, 750, 629, 628, 749, 761, 640, 639, 760 522, 751, 630, 629, 750, 762, 641, 640, 761 523, 752, 631, 630, 751, 763, 642, 641, 762 524, 753, 632, 631, 752, 764, 643, 642, 763 525, 754, 633, 632, 753, 765, 644, 643, 764 526, 755, 634, 633, 754, 766, 645, 644, 765 527, 756, 635, 634, 755, 767, 646, 645, 766 528, 757, 636, 635, 756, 768, 647, 646, 767 529, 758, 637, 636, 757, 769, 648, 647, 768 530, 759, 638, 637, 758, 770, 649, 648, 769 531, 761, 640, 639, 760, 772, 651, 650, 771 532, 762, 641, 640, 761, 773, 652, 651, 772 533, 763, 642, 641, 762, 774, 653, 652, 773 534, 764, 643, 642, 763, 775, 654, 653, 774 535, 765, 644, 643, 764, 776, 655, 654, 775 536, 766, 645, 644, 765, 777, 656, 655, 776 537, 767, 646, 645, 766, 778, 657, 656, 777 538, 768, 647, 646, 767, 779, 658, 657, 778 539, 769, 648, 647, 768, 780, 659, 658, 779 540, 770, 649, 648, 769, 781, 660, 659, 780 541, 772, 651, 650, 771, 783, 662, 661, 782 542, 773, 652, 651, 772, 784, 663, 662, 783 543, 774, 653, 652, 773, 785, 664, 663, 784 544, 775, 654, 653, 774, 786, 665, 664, 785 545, 776, 655, 654, 775, 787, 666, 665, 786 546, 777, 656, 655, 776, 788, 667, 666, 787 547, 778, 657, 656, 777, 789, 668, 667, 788 548, 779, 658, 657, 778, 790, 669, 668, 789 549, 780, 659, 658, 779, 791, 670, 669, 790 550, 781, 660, 659, 780, 792, 671, 670, 791 551, 783, 662, 661, 782, 794, 673, 672, 793 552, 784, 663, 662, 783, 795, 674, 673, 794 553, 785, 664, 663, 784, 796, 675, 674, 795 554, 786, 665, 664, 785, 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845 600, 836, 715, 714, 835, 847, 726, 725, 846 601, 849, 728, 727, 848, 860, 739, 738, 859 602, 850, 729, 728, 849, 861, 740, 739, 860 603, 851, 730, 729, 850, 862, 741, 740, 861 604, 852, 731, 730, 851, 863, 742, 741, 862 605, 853, 732, 731, 852, 864, 743, 742, 863 606, 854, 733, 732, 853, 865, 744, 743, 864 607, 855, 734, 733, 854, 866, 745, 744, 865 608, 856, 735, 734, 855, 867, 746, 745, 866 609, 857, 736, 735, 856, 868, 747, 746, 867 610, 858, 737, 736, 857, 869, 748, 747, 868 611, 860, 739, 738, 859, 871, 750, 749, 870 612, 861, 740, 739, 860, 872, 751, 750, 871 613, 862, 741, 740, 861, 873, 752, 751, 872 614, 863, 742, 741, 862, 874, 753, 752, 873 615, 864, 743, 742, 863, 875, 754, 753, 874 616, 865, 744, 743, 864, 876, 755, 754, 875 617, 866, 745, 744, 865, 877, 756, 755, 876 618, 867, 746, 745, 866, 878, 757, 756, 877 619, 868, 747, 746, 867, 879, 758, 757, 878 620, 869, 748, 747, 868, 880, 759, 758, 879 621, 871, 750, 749, 870, 882, 761, 760, 881 622, 872, 751, 750, 871, 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1063, 942, 941, 1062 777, 1053, 932, 931, 1052, 1064, 943, 942, 1063 778, 1054, 933, 932, 1053, 1065, 944, 943, 1064 779, 1055, 934, 933, 1054, 1066, 945, 944, 1065 780, 1056, 935, 934, 1055, 1067, 946, 945, 1066 781, 1058, 937, 936, 1057, 1069, 948, 947, 1068 782, 1059, 938, 937, 1058, 1070, 949, 948, 1069 783, 1060, 939, 938, 1059, 1071, 950, 949, 1070 784, 1061, 940, 939, 1060, 1072, 951, 950, 1071 785, 1062, 941, 940, 1061, 1073, 952, 951, 1072 786, 1063, 942, 941, 1062, 1074, 953, 952, 1073 787, 1064, 943, 942, 1063, 1075, 954, 953, 1074 788, 1065, 944, 943, 1064, 1076, 955, 954, 1075 789, 1066, 945, 944, 1065, 1077, 956, 955, 1076 790, 1067, 946, 945, 1066, 1078, 957, 956, 1077 791, 1069, 948, 947, 1068, 1080, 959, 958, 1079 792, 1070, 949, 948, 1069, 1081, 960, 959, 1080 793, 1071, 950, 949, 1070, 1082, 961, 960, 1081 794, 1072, 951, 950, 1071, 1083, 962, 961, 1082 795, 1073, 952, 951, 1072, 1084, 963, 962, 1083 796, 1074, 953, 952, 1073, 1085, 964, 963, 1084 797, 1075, 954, 953, 1074, 1086, 965, 964, 1085 798, 1076, 955, 954, 1075, 1087, 966, 965, 1086 799, 1077, 956, 955, 1076, 1088, 967, 966, 1087 800, 1078, 957, 956, 1077, 1089, 968, 967, 1088 801, 1091, 970, 969, 1090, 1102, 981, 980, 1101 802, 1092, 971, 970, 1091, 1103, 982, 981, 1102 803, 1093, 972, 971, 1092, 1104, 983, 982, 1103 804, 1094, 973, 972, 1093, 1105, 984, 983, 1104 805, 1095, 974, 973, 1094, 1106, 985, 984, 1105 806, 1096, 975, 974, 1095, 1107, 986, 985, 1106 807, 1097, 976, 975, 1096, 1108, 987, 986, 1107 808, 1098, 977, 976, 1097, 1109, 988, 987, 1108 809, 1099, 978, 977, 1098, 1110, 989, 988, 1109 810, 1100, 979, 978, 1099, 1111, 990, 989, 1110 811, 1102, 981, 980, 1101, 1113, 992, 991, 1112 812, 1103, 982, 981, 1102, 1114, 993, 992, 1113 813, 1104, 983, 982, 1103, 1115, 994, 993, 1114 814, 1105, 984, 983, 1104, 1116, 995, 994, 1115 815, 1106, 985, 984, 1105, 1117, 996, 995, 1116 816, 1107, 986, 985, 1106, 1118, 997, 996, 1117 817, 1108, 987, 986, 1107, 1119, 998, 997, 1118 818, 1109, 988, 987, 1108, 1120, 999, 998, 1119 819, 1110, 989, 988, 1109, 1121, 1000, 999, 1120 820, 1111, 990, 989, 1110, 1122, 1001, 1000, 1121 821, 1113, 992, 991, 1112, 1124, 1003, 1002, 1123 822, 1114, 993, 992, 1113, 1125, 1004, 1003, 1124 823, 1115, 994, 993, 1114, 1126, 1005, 1004, 1125 824, 1116, 995, 994, 1115, 1127, 1006, 1005, 1126 825, 1117, 996, 995, 1116, 1128, 1007, 1006, 1127 826, 1118, 997, 996, 1117, 1129, 1008, 1007, 1128 827, 1119, 998, 997, 1118, 1130, 1009, 1008, 1129 828, 1120, 999, 998, 1119, 1131, 1010, 1009, 1130 829, 1121, 1000, 999, 1120, 1132, 1011, 1010, 1131 830, 1122, 1001, 1000, 1121, 1133, 1012, 1011, 1132 831, 1124, 1003, 1002, 1123, 1135, 1014, 1013, 1134 832, 1125, 1004, 1003, 1124, 1136, 1015, 1014, 1135 833, 1126, 1005, 1004, 1125, 1137, 1016, 1015, 1136 834, 1127, 1006, 1005, 1126, 1138, 1017, 1016, 1137 835, 1128, 1007, 1006, 1127, 1139, 1018, 1017, 1138 836, 1129, 1008, 1007, 1128, 1140, 1019, 1018, 1139 837, 1130, 1009, 1008, 1129, 1141, 1020, 1019, 1140 838, 1131, 1010, 1009, 1130, 1142, 1021, 1020, 1141 839, 1132, 1011, 1010, 1131, 1143, 1022, 1021, 1142 840, 1133, 1012, 1011, 1132, 1144, 1023, 1022, 1143 841, 1135, 1014, 1013, 1134, 1146, 1025, 1024, 1145 842, 1136, 1015, 1014, 1135, 1147, 1026, 1025, 1146 843, 1137, 1016, 1015, 1136, 1148, 1027, 1026, 1147 844, 1138, 1017, 1016, 1137, 1149, 1028, 1027, 1148 845, 1139, 1018, 1017, 1138, 1150, 1029, 1028, 1149 846, 1140, 1019, 1018, 1139, 1151, 1030, 1029, 1150 847, 1141, 1020, 1019, 1140, 1152, 1031, 1030, 1151 848, 1142, 1021, 1020, 1141, 1153, 1032, 1031, 1152 849, 1143, 1022, 1021, 1142, 1154, 1033, 1032, 1153 850, 1144, 1023, 1022, 1143, 1155, 1034, 1033, 1154 851, 1146, 1025, 1024, 1145, 1157, 1036, 1035, 1156 852, 1147, 1026, 1025, 1146, 1158, 1037, 1036, 1157 853, 1148, 1027, 1026, 1147, 1159, 1038, 1037, 1158 854, 1149, 1028, 1027, 1148, 1160, 1039, 1038, 1159 855, 1150, 1029, 1028, 1149, 1161, 1040, 1039, 1160 856, 1151, 1030, 1029, 1150, 1162, 1041, 1040, 1161 857, 1152, 1031, 1030, 1151, 1163, 1042, 1041, 1162 858, 1153, 1032, 1031, 1152, 1164, 1043, 1042, 1163 859, 1154, 1033, 1032, 1153, 1165, 1044, 1043, 1164 860, 1155, 1034, 1033, 1154, 1166, 1045, 1044, 1165 861, 1157, 1036, 1035, 1156, 1168, 1047, 1046, 1167 862, 1158, 1037, 1036, 1157, 1169, 1048, 1047, 1168 863, 1159, 1038, 1037, 1158, 1170, 1049, 1048, 1169 864, 1160, 1039, 1038, 1159, 1171, 1050, 1049, 1170 865, 1161, 1040, 1039, 1160, 1172, 1051, 1050, 1171 866, 1162, 1041, 1040, 1161, 1173, 1052, 1051, 1172 867, 1163, 1042, 1041, 1162, 1174, 1053, 1052, 1173 868, 1164, 1043, 1042, 1163, 1175, 1054, 1053, 1174 869, 1165, 1044, 1043, 1164, 1176, 1055, 1054, 1175 870, 1166, 1045, 1044, 1165, 1177, 1056, 1055, 1176 871, 1168, 1047, 1046, 1167, 1179, 1058, 1057, 1178 872, 1169, 1048, 1047, 1168, 1180, 1059, 1058, 1179 873, 1170, 1049, 1048, 1169, 1181, 1060, 1059, 1180 874, 1171, 1050, 1049, 1170, 1182, 1061, 1060, 1181 875, 1172, 1051, 1050, 1171, 1183, 1062, 1061, 1182 876, 1173, 1052, 1051, 1172, 1184, 1063, 1062, 1183 877, 1174, 1053, 1052, 1173, 1185, 1064, 1063, 1184 878, 1175, 1054, 1053, 1174, 1186, 1065, 1064, 1185 879, 1176, 1055, 1054, 1175, 1187, 1066, 1065, 1186 880, 1177, 1056, 1055, 1176, 1188, 1067, 1066, 1187 881, 1179, 1058, 1057, 1178, 1190, 1069, 1068, 1189 882, 1180, 1059, 1058, 1179, 1191, 1070, 1069, 1190 883, 1181, 1060, 1059, 1180, 1192, 1071, 1070, 1191 884, 1182, 1061, 1060, 1181, 1193, 1072, 1071, 1192 885, 1183, 1062, 1061, 1182, 1194, 1073, 1072, 1193 886, 1184, 1063, 1062, 1183, 1195, 1074, 1073, 1194 887, 1185, 1064, 1063, 1184, 1196, 1075, 1074, 1195 888, 1186, 1065, 1064, 1185, 1197, 1076, 1075, 1196 889, 1187, 1066, 1065, 1186, 1198, 1077, 1076, 1197 890, 1188, 1067, 1066, 1187, 1199, 1078, 1077, 1198 891, 1190, 1069, 1068, 1189, 1201, 1080, 1079, 1200 892, 1191, 1070, 1069, 1190, 1202, 1081, 1080, 1201 893, 1192, 1071, 1070, 1191, 1203, 1082, 1081, 1202 894, 1193, 1072, 1071, 1192, 1204, 1083, 1082, 1203 895, 1194, 1073, 1072, 1193, 1205, 1084, 1083, 1204 896, 1195, 1074, 1073, 1194, 1206, 1085, 1084, 1205 897, 1196, 1075, 1074, 1195, 1207, 1086, 1085, 1206 898, 1197, 1076, 1075, 1196, 1208, 1087, 1086, 1207 899, 1198, 1077, 1076, 1197, 1209, 1088, 1087, 1208 900, 1199, 1078, 1077, 1198, 1210, 1089, 1088, 1209 901, 1212, 1091, 1090, 1211, 1223, 1102, 1101, 1222 902, 1213, 1092, 1091, 1212, 1224, 1103, 1102, 1223 903, 1214, 1093, 1092, 1213, 1225, 1104, 1103, 1224 904, 1215, 1094, 1093, 1214, 1226, 1105, 1104, 1225 905, 1216, 1095, 1094, 1215, 1227, 1106, 1105, 1226 906, 1217, 1096, 1095, 1216, 1228, 1107, 1106, 1227 907, 1218, 1097, 1096, 1217, 1229, 1108, 1107, 1228 908, 1219, 1098, 1097, 1218, 1230, 1109, 1108, 1229 909, 1220, 1099, 1098, 1219, 1231, 1110, 1109, 1230 910, 1221, 1100, 1099, 1220, 1232, 1111, 1110, 1231 911, 1223, 1102, 1101, 1222, 1234, 1113, 1112, 1233 912, 1224, 1103, 1102, 1223, 1235, 1114, 1113, 1234 913, 1225, 1104, 1103, 1224, 1236, 1115, 1114, 1235 914, 1226, 1105, 1104, 1225, 1237, 1116, 1115, 1236 915, 1227, 1106, 1105, 1226, 1238, 1117, 1116, 1237 916, 1228, 1107, 1106, 1227, 1239, 1118, 1117, 1238 917, 1229, 1108, 1107, 1228, 1240, 1119, 1118, 1239 918, 1230, 1109, 1108, 1229, 1241, 1120, 1119, 1240 919, 1231, 1110, 1109, 1230, 1242, 1121, 1120, 1241 920, 1232, 1111, 1110, 1231, 1243, 1122, 1121, 1242 921, 1234, 1113, 1112, 1233, 1245, 1124, 1123, 1244 922, 1235, 1114, 1113, 1234, 1246, 1125, 1124, 1245 923, 1236, 1115, 1114, 1235, 1247, 1126, 1125, 1246 924, 1237, 1116, 1115, 1236, 1248, 1127, 1126, 1247 925, 1238, 1117, 1116, 1237, 1249, 1128, 1127, 1248 926, 1239, 1118, 1117, 1238, 1250, 1129, 1128, 1249 927, 1240, 1119, 1118, 1239, 1251, 1130, 1129, 1250 928, 1241, 1120, 1119, 1240, 1252, 1131, 1130, 1251 929, 1242, 1121, 1120, 1241, 1253, 1132, 1131, 1252 930, 1243, 1122, 1121, 1242, 1254, 1133, 1132, 1253 931, 1245, 1124, 1123, 1244, 1256, 1135, 1134, 1255 932, 1246, 1125, 1124, 1245, 1257, 1136, 1135, 1256 933, 1247, 1126, 1125, 1246, 1258, 1137, 1136, 1257 934, 1248, 1127, 1126, 1247, 1259, 1138, 1137, 1258 935, 1249, 1128, 1127, 1248, 1260, 1139, 1138, 1259 936, 1250, 1129, 1128, 1249, 1261, 1140, 1139, 1260 937, 1251, 1130, 1129, 1250, 1262, 1141, 1140, 1261 938, 1252, 1131, 1130, 1251, 1263, 1142, 1141, 1262 939, 1253, 1132, 1131, 1252, 1264, 1143, 1142, 1263 940, 1254, 1133, 1132, 1253, 1265, 1144, 1143, 1264 941, 1256, 1135, 1134, 1255, 1267, 1146, 1145, 1266 942, 1257, 1136, 1135, 1256, 1268, 1147, 1146, 1267 943, 1258, 1137, 1136, 1257, 1269, 1148, 1147, 1268 944, 1259, 1138, 1137, 1258, 1270, 1149, 1148, 1269 945, 1260, 1139, 1138, 1259, 1271, 1150, 1149, 1270 946, 1261, 1140, 1139, 1260, 1272, 1151, 1150, 1271 947, 1262, 1141, 1140, 1261, 1273, 1152, 1151, 1272 948, 1263, 1142, 1141, 1262, 1274, 1153, 1152, 1273 949, 1264, 1143, 1142, 1263, 1275, 1154, 1153, 1274 950, 1265, 1144, 1143, 1264, 1276, 1155, 1154, 1275 951, 1267, 1146, 1145, 1266, 1278, 1157, 1156, 1277 952, 1268, 1147, 1146, 1267, 1279, 1158, 1157, 1278 953, 1269, 1148, 1147, 1268, 1280, 1159, 1158, 1279 954, 1270, 1149, 1148, 1269, 1281, 1160, 1159, 1280 955, 1271, 1150, 1149, 1270, 1282, 1161, 1160, 1281 956, 1272, 1151, 1150, 1271, 1283, 1162, 1161, 1282 957, 1273, 1152, 1151, 1272, 1284, 1163, 1162, 1283 958, 1274, 1153, 1152, 1273, 1285, 1164, 1163, 1284 959, 1275, 1154, 1153, 1274, 1286, 1165, 1164, 1285 960, 1276, 1155, 1154, 1275, 1287, 1166, 1165, 1286 961, 1278, 1157, 1156, 1277, 1289, 1168, 1167, 1288 962, 1279, 1158, 1157, 1278, 1290, 1169, 1168, 1289 963, 1280, 1159, 1158, 1279, 1291, 1170, 1169, 1290 964, 1281, 1160, 1159, 1280, 1292, 1171, 1170, 1291 965, 1282, 1161, 1160, 1281, 1293, 1172, 1171, 1292 966, 1283, 1162, 1161, 1282, 1294, 1173, 1172, 1293 967, 1284, 1163, 1162, 1283, 1295, 1174, 1173, 1294 968, 1285, 1164, 1163, 1284, 1296, 1175, 1174, 1295 969, 1286, 1165, 1164, 1285, 1297, 1176, 1175, 1296 970, 1287, 1166, 1165, 1286, 1298, 1177, 1176, 1297 971, 1289, 1168, 1167, 1288, 1300, 1179, 1178, 1299 972, 1290, 1169, 1168, 1289, 1301, 1180, 1179, 1300 973, 1291, 1170, 1169, 1290, 1302, 1181, 1180, 1301 974, 1292, 1171, 1170, 1291, 1303, 1182, 1181, 1302 975, 1293, 1172, 1171, 1292, 1304, 1183, 1182, 1303 976, 1294, 1173, 1172, 1293, 1305, 1184, 1183, 1304 977, 1295, 1174, 1173, 1294, 1306, 1185, 1184, 1305 978, 1296, 1175, 1174, 1295, 1307, 1186, 1185, 1306 979, 1297, 1176, 1175, 1296, 1308, 1187, 1186, 1307 980, 1298, 1177, 1176, 1297, 1309, 1188, 1187, 1308 981, 1300, 1179, 1178, 1299, 1311, 1190, 1189, 1310 982, 1301, 1180, 1179, 1300, 1312, 1191, 1190, 1311 983, 1302, 1181, 1180, 1301, 1313, 1192, 1191, 1312 984, 1303, 1182, 1181, 1302, 1314, 1193, 1192, 1313 985, 1304, 1183, 1182, 1303, 1315, 1194, 1193, 1314 986, 1305, 1184, 1183, 1304, 1316, 1195, 1194, 1315 987, 1306, 1185, 1184, 1305, 1317, 1196, 1195, 1316 988, 1307, 1186, 1185, 1306, 1318, 1197, 1196, 1317 989, 1308, 1187, 1186, 1307, 1319, 1198, 1197, 1318 990, 1309, 1188, 1187, 1308, 1320, 1199, 1198, 1319 991, 1311, 1190, 1189, 1310, 1322, 1201, 1200, 1321 992, 1312, 1191, 1190, 1311, 1323, 1202, 1201, 1322 993, 1313, 1192, 1191, 1312, 1324, 1203, 1202, 1323 994, 1314, 1193, 1192, 1313, 1325, 1204, 1203, 1324 995, 1315, 1194, 1193, 1314, 1326, 1205, 1204, 1325 996, 1316, 1195, 1194, 1315, 1327, 1206, 1205, 1326 997, 1317, 1196, 1195, 1316, 1328, 1207, 1206, 1327 998, 1318, 1197, 1196, 1317, 1329, 1208, 1207, 1328 999, 1319, 1198, 1197, 1318, 1330, 1209, 1208, 1329 1000, 1320, 1199, 1198, 1319, 1331, 1210, 1209, 1330 *Elset, elset=GRAIN-1 505, 506, 515, 516, 604, 605, 606, 607, 608, 609, 613, 614, 615, 616, 617, 618 624, 625, 626, 627, 635, 636, 702, 703, 704, 705, 706, 707, 708, 709, 710, 712 713, 714, 715, 716, 717, 718, 719, 720, 722, 723, 724, 725, 726, 727, 728, 729 730, 734, 735, 736, 737, 738, 739, 801, 802, 803, 804, 805, 806, 807, 808, 809 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825 826, 827, 828, 829, 830, 833, 834, 835, 836, 837, 838, 839, 840, 845, 846, 847 848, 849, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 944, 945, 946, 947, 948, 949 950, *Elset, elset=GRAIN-2 35, 36, 37, 44, 45, 46, 47, 48, 54, 55, 56, 57, 58, 59, 60, 64 65, 66, 67, 68, 69, 70, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85 86, 87, 88, 89, 90, 93, 94, 95, 96, 97, 98, 99, 100, 135, 144, 145 146, 147, 148, 154, 155, 156, 157, 158, 159, 160, 164, 165, 166, 167, 168, 169 170, 174, 175, 176, 177, 178, 179, 180, 184, 185, 186, 187, 188, 189, 190, 194 195, 196, 197, 198, 199, 200, 244, 245, 246, 247, 254, 255, 256, 257, 258, 259 264, 265, 266, 267, 268, 269, 270, 274, 275, 276, 277, 278, 279, 280, 284, 285 286, 287, 288, 289, 290, 295, 296, 297, 298, 299, 344, 345, 346, 354, 355, 356 357, 358, 359, 364, 365, 366, 367, 368, 369, 375, 376, 377, 378, 379, 385, 386 387, 388, 397, 446, 456, 457, 458, 459, 466, 467, 468, 476, 477 *Elset, elset=GRAIN-3 193, 293, 294, 374, 383, 384, 391, 392, 393, 394, 395, 396, 443, 444, 445, 453 454, 455, 463, 464, 465, 473, 474, 475, 481, 482, 483, 484, 485, 486, 491, 492 493, 494, 495, 496, 534, 535, 541, 542, 543, 544, 545, 546, 551, 552, 553, 554 555, 556, 557, 561, 562, 563, 564, 565, 566, 567, 571, 572, 573, 574, 575, 576 577, 581, 582, 583, 584, 585, 586, 587, 591, 592, 593, 594, 595, 596, 631, 632 633, 634, 641, 642, 643, 644, 645, 646, 647, 651, 652, 653, 654, 655, 656, 657 661, 662, 663, 664, 665, 666, 667, 671, 672, 673, 674, 675, 676, 677, 681, 682 683, 684, 685, 686, 687, 691, 692, 693, 694, 695, 696, 697, 731, 732, 733, 741 742, 743, 744, 745, 746, 747, 751, 752, 753, 754, 755, 756, 757, 761, 762, 763 764, 765, 766, 767, 771, 772, 773, 774, 775, 776, 777, 781, 782, 783, 784, 785 786, 787, 791, 792, 793, 794, 795, 796, 797, 831, 832, 841, 842, 843, 844, 851 852, 853, 854, 855, 856, 857, 861, 862, 863, 864, 865, 866, 867, 871, 872, 873 874, 875, 876, 877, 881, 882, 883, 884, 885, 886, 887, 891, 892, 893, 894, 895 896, 897, 941, 942, 943, 951, 952, 953, 954, 955, 956, 957, 961, 962, 963, 964 965, 966, 967, 971, 972, 973, 974, 975, 976, 977, 981, 982, 983, 984, 985, 986 987, 991, 992, 993, 994, 995, 996, 997 *Elset, elset=GRAIN-4 1, 2, 3, 4, 5, 11, 12, 13, 14, 15, 21, 22, 23, 24, 25, 31 32, 33, 34, 42, 43, 101, 102, 103, 104, 105, 111, 112, 113, 114, 115, 121 122, 123, 124, 125, 131, 132, 133, 134, 142, 143, 201, 202, 203, 204, 205, 211 212, 213, 214, 215, 221, 222, 223, 224, 225, 231, 232, 233, 234, 301, 302, 303 304, 305, 311, 312, 313, 314, 315, 321, 322, 323, 324, 331, 332, 333, 334, 401 402, 403, 404, 405, 411, 412, 413, 414, 415, 421, 422, 423, 424, 431, 432, 433 434, 501, 502, 503, 504, 511, 512, 513, 514, 521, 522, 523, 524, 531, 532, 533 601, 602, 603, 611, 612, 621, 622, 623, 701, 711, 721 *Elset, elset=GRAIN-5 6, 7, 8, 9, 10, 16, 17, 18, 19, 20, 26, 27, 28, 29, 30, 38 39, 40, 49, 50, 106, 107, 108, 109, 110, 116, 117, 118, 119, 120, 126, 127 128, 129, 130, 136, 137, 138, 139, 140, 149, 150, 206, 207, 208, 209, 210, 216 217, 218, 219, 220, 226, 227, 228, 229, 230, 235, 236, 237, 238, 239, 240, 248 249, 250, 260, 306, 307, 308, 309, 310, 316, 317, 318, 319, 320, 325, 326, 327 328, 329, 330, 335, 336, 337, 338, 339, 340, 347, 348, 349, 350, 360, 406, 407 408, 409, 410, 416, 417, 418, 419, 420, 425, 426, 427, 428, 429, 430, 435, 436 437, 438, 439, 440, 447, 448, 449, 450, 507, 508, 509, 510, 517, 518, 519, 520 525, 526, 527, 528, 529, 530, 536, 537, 538, 539, 540, 547, 548, 549, 550, 610 619, 620, 628, 629, 630, 637, 638, 639, 640, 648, 740 *Elset, elset=GRAIN-6 300, 370, 380, 389, 390, 398, 399, 400, 460, 469, 470, 478, 479, 480, 487, 488 489, 490, 497, 498, 499, 500, 558, 559, 560, 568, 569, 570, 578, 579, 580, 588 589, 590, 597, 598, 599, 600, 649, 650, 658, 659, 660, 668, 669, 670, 678, 679 680, 688, 689, 690, 698, 699, 700, 748, 749, 750, 758, 759, 760, 768, 769, 770 778, 779, 780, 788, 789, 790, 798, 799, 800, 850, 858, 859, 860, 868, 869, 870 878, 879, 880, 888, 889, 890, 898, 899, 900, 958, 959, 960, 968, 969, 970, 978 979, 980, 988, 989, 990, 998, 999, 1000 *Elset, elset=GRAIN-7 41, 51, 52, 53, 61, 62, 63, 71, 72, 73, 81, 82, 91, 92, 141, 151 152, 153, 161, 162, 163, 171, 172, 173, 181, 182, 183, 191, 192, 241, 242, 243 251, 252, 253, 261, 262, 263, 271, 272, 273, 281, 282, 283, 291, 292, 341, 342 343, 351, 352, 353, 361, 362, 363, 371, 372, 373, 381, 382, 441, 442, 451, 452 461, 462, 471, 472 *Elset, elset=PHASE-1, generate 1, 1000, 1 ** Section: Section-4-GRAIN-4 *Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4 , ** Section: Section-5-GRAIN-5 *Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5 , ** Section: Section-2-GRAIN-2 *Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2 , ** Section: Section-7-GRAIN-7 *Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7 , ** Section: Section-3-GRAIN-3 *Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3 , ** Section: Section-6-GRAIN-6 *Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6 , ** Section: Section-1-GRAIN-1 *Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1 , *End Part ** ** ** ASSEMBLY ** *Assembly, name=Assembly ** *Instance, name=DREAM3D-1, part=DREAM3D *End Instance ** *Nset, nset=_PickedSet4, internal, instance=DREAM3D-1, generate 1, 1321, 11 *Nset, nset=_PickedSet5, internal, instance=DREAM3D-1 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 122, 123, 124, 125, 126 127, 128, 129, 130, 131, 132, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252 253, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 485, 486, 487, 488 489, 490, 491, 492, 493, 494, 495, 606, 607, 608, 609, 610, 611, 612, 613, 614 615, 616, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 848, 849, 850 851, 852, 853, 854, 855, 856, 857, 858, 969, 970, 971, 972, 973, 974, 975, 976 977, 978, 979, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1211, 1212 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221 *Nset, nset=_PickedSet6, internal, instance=DREAM3D-1, generate 1, 121, 1 *Nset, nset=_PickedSet7, internal, instance=DREAM3D-1, generate 11, 1331, 11 *End Assembly ** ** MATERIALS ** ** MATERIALS ** *Material, name=MATERIAL-GRAIN1 *Depvar 12, *User Material, constants=300 131.57, 106.934, 219.914, 1., 2., 1., 2., 12. 6., 0., 0.25, 170000., 124000., 75000., 0., 0. 0., 0., 0., 0., 1., 0., 0., 0. 3., 0.001, 20., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 1., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 16., 16., 16., 16., 16., 16., 16., 16. 16., 16., 16., 16., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0. *Material, name=MATERIAL-GRAIN2 *Depvar 12, *User Material, constants=300 207.046, 89.158, 335.024, 2., 2., 1., 2., 12. 6., 0., 0.25, 170000., 124000., 75000., 0., 0. 0., 0., 0., 0., 1., 0., 0., 0. 3., 0.001, 20., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 1., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 16., 16., 16., 16., 16., 16., 16., 16. 16., 16., 16., 16., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0. *Material, name=MATERIAL-GRAIN3 *Depvar 12, *User Material, constants=300 178.061, 37.773, 321.494, 3., 2., 1., 2., 12. 6., 0., 0.25, 170000., 124000., 75000., 0., 0. 0., 0., 0., 0., 1., 0., 0., 0. 3., 0.001, 20., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 1., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 16., 16., 16., 16., 16., 16., 16., 16. 16., 16., 16., 16., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0. *Material, name=MATERIAL-GRAIN4 *Depvar 12, *User Material, constants=300 234.272, 107.927, 232.783, 4., 2., 1., 2., 12. 6., 0., 0.25, 170000., 124000., 75000., 0., 0. 0., 0., 0., 0., 1., 0., 0., 0. 3., 0.001, 20., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 1., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 16., 16., 16., 16., 16., 16., 16., 16. 16., 16., 16., 16., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0. *Material, name=MATERIAL-GRAIN5 *Depvar 12, *User Material, constants=300 131.024, 82.927, 261.214, 5., 2., 1., 2., 12. 6., 0., 0.25, 170000., 124000., 75000., 0., 0. 0., 0., 0., 0., 1., 0., 0., 0. 3., 0.001, 20., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 1., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 16., 16., 16., 16., 16., 16., 16., 16. 16., 16., 16., 16., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0. *Material, name=MATERIAL-GRAIN6 *Depvar 12, *User Material, constants=300 123.609, 63.988, 170.189, 6., 2., 1., 2., 12. 6., 0., 0.25, 170000., 124000., 75000., 0., 0. 0., 0., 0., 0., 1., 0., 0., 0. 3., 0.001, 20., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 1., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 16., 16., 16., 16., 16., 16., 16., 16. 16., 16., 16., 16., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0. *Material, name=MATERIAL-GRAIN7 *Depvar 12, *User Material, constants=300 78.282, 94.024, 208.666, 7., 2., 1., 2., 12. 6., 0., 0.25, 170000., 124000., 75000., 0., 0. 0., 0., 0., 0., 1., 0., 0., 0. 3., 0.001, 20., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 1., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 16., 16., 16., 16., 16., 16., 16., 16. 16., 16., 16., 16., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0., 0., 0., 0., 0. 0., 0., 0., 0. ** ** BOUNDARY CONDITIONS ** ** Name: BC-1 Type: Symmetry/Antisymmetry/Encastre *Boundary _PickedSet4, XSYMM ** Name: BC-2 Type: Symmetry/Antisymmetry/Encastre *Boundary _PickedSet5, YSYMM ** Name: BC-3 Type: Symmetry/Antisymmetry/Encastre *Boundary _PickedSet6, ZSYMM ** ---------------------------------------------------------------- ** ** STEP: Loading ** *Step, name=Loading, nlgeom=YES, inc=10000 *Static 0.05, 10., 1e-05, 5. ** ** BOUNDARY CONDITIONS ** ** Name: BC-4 Type: Displacement/Rotation *Boundary _PickedSet7, 1, 1, 1. ** ** OUTPUT REQUESTS ** *Restart, write, frequency=0 ** ** FIELD OUTPUT: F-Output-2 ** *Output, field *Element Output, directions=YES SDV, ** ** FIELD OUTPUT: F-Output-1 ** *Output, field, variable=PRESELECT ** ** HISTORY OUTPUT: H-Output-1 ** *Output, history, variable=PRESELECT *End Step ================================================ FILE: Example - Polycrytal with PROPS/OXFORD-UMAT.f ================================================ ! ! Nov., 01st, 2022 - 1st working version ! Apr., 25th, 2024 - Release v2.17 ! ! Crystal Plasticity UMAT ! University of Oxford ! Eralp Demir ! ! Sponsored by Design-by-Fundamentals (DbF) project under STEP program of UKAEA ! ! Rewrite of UMAT by Ed Tarleton and Nicolo Grilli ! Originally based on the UEL by Fionn Dunne 2007 ! Deformation twinning is not included ! ! Major changes: ! - Initialization routines for computational efficiency ! - Reverse slip formulation by C. Hardie ! - Option for implicit state update ! - Multiple materials with different phases can co-exist in a mesh ! - Modular code for flexible constitutive model development ! - GND calculations: ! o Restricted solution to the active slip systems ! o Option for element center homogenization ! o Different 2D/3D element types for GND calculation ! - 2D plane stress/strain problems ! include "userinputs.f" include "globalvariables.f" include "irradiation.f" include "errors.f" include "utilities.f" include "meshprop.f" include "usermaterials.f" include "useroutputs.f" include "crss.f" include "initializations.f" include "slip.f" include "slipreverse.f" include "creep.f" include "innerloop.f" include "hardening.f" include "backstress.f" include "cpsolver.f" include "straingradients.f" ! ! ! SUBROUTINE UEXTERNALDB(LOP,LRESTART,TIME,DTIME,KSTEP,KINC) ! Subroutine for initialization use initializations, only : initialize_variables, + initialize_once use userinputs, only : gndmodel, backstressmodel use globalvariables, only: numel, numpt, + init_once, statev_gmatinv, statev_gmatinv_t, + statev_gammasum_t, statev_gammasum, + statev_gammadot_t, statev_gammadot, + statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma, + statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth, + statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx, + statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd, + statev_ssd_t, statev_ssd, statev_forest_t, statev_forest, + statev_substructure_t, statev_substructure, statev_evmp_t, + statev_evmp, statev_totgammasum_t, statev_totgammasum, + statev_ssdtot_t, statev_ssdtot, statev_loop_t, statev_loop, + statev_Lambda_t, statev_Lambda, statev_sigma_t2, + statev_tausolute_t, statev_tausolute, time_old, dt_t, + statev_backstress, statev_backstress_t, + statev_plasdiss, statev_plasdiss_t, + ip_count, calculategradient, ip_init, grad_init ! use straingradients, only: gndmodel1, gndmodel2, + gndmodel3, gndmodel4 use backstress, only: backstressmodel2 use meshprop, only: initialize_gradientoperators use useroutputs, only: write_statev_legend ! implicit none ! ! ! INTEGER, INTENT(IN) :: + LOP, + LRESTART, + KSTEP, + KINC REAL(8), DIMENSION(1), INTENT(IN) :: + DTIME REAL(8), DIMENSION(2), INTENT(IN) :: + TIME ! ! integer :: i ! ! ! ! at the start of the analysis (only ONCE!) ! if there are initializations/calculations that are needed once, ! and that are independepent of element properties, you may use here. if (LOP==0) then ! ! 0. Initialize variables (instead of using data statements) call initialize_variables ! ! end if ! ! Initialization of gradient operators ! Check if the element has more than one integration point ! And the gradient initialization was done before or not if ((calculategradient==1).and.(grad_init==0)) then ! ! Check if IP coordinates were collected if ((sum(ip_init)==numel*numpt).and. + (numel>0).and.(numpt>0)) then ! ! ! Calculate the gradient mapping for each element once. call initialize_gradientoperators ! grad_init=1 write(*,*) '7. Gradient operators initialized!' ! endif ! end if ! ! ! ! ! if (LOP==1) then ! ! ! in case of force BC if ((KINC==1).and.(KSTEP==1)) then ! ! ! ! check if the one-time initialization is done or not if ((init_once==0).and.(numel>0).and.(numpt>0)) then ! ! ! ! check the number of elements i = sum(ip_count(1,:)) if (i>numpt) numpt = i ! ! check the number of elements i = sum(ip_count(:,1)) if (i>numel) numel = i ! ! ! write element number write(*,*) 'total elements in the mesh: ', numel ! ! write integration point number write(*,*) 'integration points per element: ', numpt ! ! write(*,*) '--------------------------------' ! ! call the initializations call initialize_once ! ! display upon completion write(*,*) 'one-time initialization is complete!' ! ! write(*,*) '--------------------------------' ! ! ! write the legend to a text file call write_statev_legend ! ! message for initializatoin write(*,*) '6. "STATEV_legend.txt" file is ready!' ! ! set the one-time initilaziation flag (at the very end) init_once=1 ! end if ! ! ! ! ! end if ! ! end if ! ! ! ! at the end of each increment if (LOP==2) then ! ! ! in case of displacement BC if ((KINC==1).and.(KSTEP==1)) then ! ! ! ! check if the one-time initialization is done or not if ((init_once==0).and.(numel>0).and.(numpt>0)) then ! ! ! ! check the number of elements i = sum(ip_count(1,:)) if (i>numpt) numpt = i ! ! check the number of elements i = sum(ip_count(:,1)) if (i>numel) numel = i ! ! ! write element number write(*,*) 'total elements in the mesh: ', numel ! ! write integration point number write(*,*) 'integration points per element: ', numpt ! ! write(*,*) '--------------------------------' ! ! call the initializations call initialize_once ! ! display upon completion write(*,*) 'one-time initialization is complete!' ! ! write(*,*) '--------------------------------' ! ! ! write the legend to a text file call write_statev_legend ! ! message for initializatoin write(*,*) '6. "STATEV_legend.txt" file is ready!' ! ! ! ! set the one-time initilaziation flag (at the very end) init_once=1 ! ! end if ! ! ! ! ! ! end if ! ! ! write(*,*) '--------------------------------' ! write(*,*) 'At the end of increment: ', KINC ! ! ! ! ! ! GND calculations ! do this only if the initiliazation complete and ! element gradients are calculatable (calculategradient==1) if ((init_once==1).and.(grad_init==1).and. + (calculategradient==1).and.(KINC>1)) then ! ! update and calculate GNDs (nonlocal calculations) ! this is done at the end of calculations. ! GNDs that belong to the PREVIOUS time step are used. ! initially GNDs are assumed to have "0" values. ! ! calculate GNDs (if initialization complete) if (gndmodel>0) then ! ! curl followed by L2 minimization - SVD - ! constrained to active slip systems if (gndmodel==1) then ! call gndmodel1 ! ! Cermelli-Gurtin's incompatibility measure - L2 minimization - SVD ! constrained to active slip systems (same as model-1) elseif (gndmodel==2) then ! call gndmodel2 ! ! rate form followed by direct projections elseif (gndmodel==3) then ! call gndmodel3(DTIME(1)) ! ! slip gradients elseif (gndmodel==4) then ! call gndmodel4(DTIME(1)) ! ! endif ! ! write(*,*) 'GNDs are computed!' ! ! if (backstressmodel==2) then ! call backstressmodel2 ! write(*,*) 'Backstresses are computed!' ! end if ! end if ! end if ! ! update the time time_old = time(2) ! store former converged time increment dt_t = DTIME(1) ! ! ! update state variables ! assign the current results to the former values statev_gmatinv_t(:,:,:,:) = statev_gmatinv(:,:,:,:) statev_evmp_t(:,:) = statev_evmp(:,:) statev_gammasum_t(:,:,:) = statev_gammasum(:,:,:) statev_totgammasum_t(:,:) = statev_totgammasum(:,:) statev_gammadot_t(:,:,:) = statev_gammadot(:,:,:) statev_Fp_t(:,:,:,:) = statev_Fp(:,:,:,:) statev_Fth_t(:,:,:,:) = statev_Fth(:,:,:,:) statev_sigma_t2(:,:,:) = statev_sigma_t(:,:,:) statev_sigma_t(:,:,:) = statev_sigma(:,:,:) statev_jacobi_t(:,:,:,:) = statev_jacobi(:,:,:,:) statev_tauc_t(:,:,:) = statev_tauc(:,:,:) statev_maxx_t(:,:) = statev_maxx(:,:) statev_Eec_t(:,:,:) = statev_Eec(:,:,:) statev_gnd_t(:,:,:) = statev_gnd(:,:,:) statev_ssd_t(:,:,:) = statev_ssd(:,:,:) statev_ssdtot_t(:,:) = statev_ssdtot(:,:) statev_forest_t(:,:,:) = statev_forest(:,:,:) statev_loop_t(:,:,:) = statev_loop(:,:,:) statev_substructure_t(:,:) = statev_substructure(:,:) statev_tausolute_t(:,:) = statev_tausolute(:,:) statev_Lambda_t(:,:,:) = statev_Lambda(:,:,:) statev_backstress_t(:,:,:) = statev_backstress(:,:,:) statev_plasdiss_t(:,:) = statev_plasdiss(:,:) ! write(*,*) 'States are updated!' ! write(*,*) '--------------------------------' ! ! endif ! ! ! RETURN END ! ! ! ! ! SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD, 1 RPL,DDSDDT,DRPLDE,DRPLDT, 2 STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME, 3 NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT, 4 CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC) ! use userinputs, only: cutback, pastefront use globalvariables, only: numel, numpt, numtens, + largenum, ip_init, init_once, ip_count use initializations, only: initialize_atfirstinc use cpsolver, only: solve implicit none ! ! INTEGER, INTENT(IN) :: + NDI, ! Number of direct stress components at this point + NSHR, ! Number of engineering shear stress components + NTENS, ! Size of the stress / strain components (NDI + NSHR) + NSTATV, ! Number of solution-dependent state variables + NPROPS, ! User-defined number of material constants + NOEL, ! Element number + NPT, ! Integration point number + LAYER, ! Layer number (shell elements etc.) + KSPT, ! Section point within the current layer + KINC ! Increment number (time increment) INTEGER, DIMENSION(4), INTENT(IN) :: + JSTEP ! Step number (load step) CHARACTER(LEN=80), INTENT(IN) :: + CMNAME ! Usee-specified material name, left justified REAL(8), INTENT(IN) :: + DTIME, ! Time increment + TEMP, ! Temperature at the start of the increment + DTEMP, ! Increment of temperature + CELENT ! Temperature REAL(8), DIMENSION(1), INTENT(IN) :: + PREDEF, + DPRED REAL(8), DIMENSION(2), INTENT(IN) :: + TIME ! Step time/total time at begin, of the current inc. REAL(8), DIMENSION(3), INTENT(IN) :: + COORDS REAL(8), DIMENSION(NTENS), INTENT(IN) :: + STRAN, ! Total strains at beginning of the increment + DSTRAN ! Strain increments REAL(8), DIMENSION(NPROPS), INTENT(IN) :: + PROPS REAL(8), DIMENSION(3,3), INTENT(IN) :: + DROT, ! Rotation increment matrix + DFGRD0, ! Deformation gradient at the former time increment + DFGRD1 ! Deformation gradient at the current time increment REAL(8), INTENT(INOUT) :: + PNEWDT, ! Ratio of suggested new time increment to current time increment + SSE, ! Specific elastic strain engergy + SPD, ! Specific plastic dissipation + SCD, ! Specific creep dissipation + RPL, ! Volumetric heat generation + DRPLDT ! Variation of RPL with respect to the temperature REAL(8), DIMENSION(NTENS), INTENT(INOUT) :: + STRESS ! Cauchy stress vector at the current time increment REAL(8), DIMENSION(NSTATV), INTENT(INOUT) :: + STATEV ! Solution-dependent state variables REAL(8), DIMENSION(NTENS), INTENT(OUT) :: + DDSDDT, ! Variation of the stress increments with respect to the temperature + DRPLDE ! Variation of RPL with respect to the strain increments REAL(8), DIMENSION(NTENS,NTENS), INTENT(OUT) :: + DDSDDE ! Material tangent at the current time increment ! ! local array for 3D crystal plasticity solver real(8) :: sigma(6), jacobi(6,6) ! material-id needed for array allocations integer :: matid, debug, debugwait ! counter integer :: i ! ! turn VS debugger on/off debug=0 do while (debug==1) debugwait = 1 end do ! ! to avoid warning messages set the following to zero DDSDDT = 0. DRPLDE = 0. ! ! outputs sigma = 0. jacobi = 0. ! ! ! ! read the number of elements and number of integration points per element if (ip_count(NOEL,NPT)<1) then ! ! Increment the counter ip_count(NOEL,NPT)=ip_count(NOEL,NPT)+1 ! ! store the number of elements if (NOEL>numel) numel=NOEL ! store the number of integration points if (NPT>numpt) numpt=NPT ! ! dimension of the problem (will be re-assigned in feprop) numtens = ntens ! DDSDDE=0. do i=1,NTENS DDSDDE(i,i)=largenum end do STRESS=0. PNEWDT=cutback ! ! ! end if ! ! ! if arrays allocated then ! do the crystal plasticity calculations if (init_once==1) then ! ! ! material/phase identifier matid=int(PROPS(5)) ! ! in some multi-body simulations UMAT entry for RGB has happened! ! in that case, RGB having no material-ID assigned gave array access issues ! this case deals with that situation if (matid > 0) then ! ! material property initialization if (ip_init(NOEL,NPT)==0) then ! call initialize_atfirstinc(NOEL,NPT,COORDS, + NPROPS,PROPS,TEMP,NSTATV) ! ! ! write(*,*) 'element: ', NOEL ! write(*,*) 'ip: ', NPT ! write(*,*) 'initialized!' end if ! ! ! ! ! call the main crystal plasticity solver call solve(NOEL,NPT,DFGRD1,DFGRD0, + TEMP,DTEMP,DTIME,matid, + PNEWDT,NSTATV,STATEV, + sigma,jacobi) ! ! ! ! increase the time step if desired or, ! let ABAQUS decide! if (pastefront > 1.) then ! if there is no cutback introduced if (PNEWDT /= cutback) then PNEWDT = pastefront end if end if ! ! ! ! 3D case if (NTENS==6) then ! STRESS = sigma DDSDDE = jacobi ! ! plane strain case elseif (NTENS==4) then ! STRESS=0. STRESS=0. STRESS(1) = sigma(1) STRESS(2) = sigma(2) STRESS(3) = sigma(3) STRESS(4) = sigma(4) ! DDSDDE=0. DDSDDE(1,1) = jacobi(1,1) DDSDDE(1,2) = jacobi(1,2) DDSDDE(1,3) = jacobi(1,3) DDSDDE(2,1) = jacobi(2,1) DDSDDE(2,2) = jacobi(2,2) DDSDDE(2,3) = jacobi(2,3) DDSDDE(3,1) = jacobi(3,1) DDSDDE(3,2) = jacobi(3,2) DDSDDE(3,3) = jacobi(3,3) DDSDDE(4,4) = jacobi(4,4) ! ! plane stress case elseif (NTENS==3) then ! STRESS=0. ! correction by Alvaro STRESS(1) = sigma(1)-sigma(3) STRESS(2) = sigma(2)-sigma(3) ! STRESS(3) = sigma(4) ! ! DDSDDE=0. DDSDDE(1,1) = jacobi(1,1) DDSDDE(1,2) = jacobi(1,2) DDSDDE(2,1) = jacobi(2,1) DDSDDE(2,2) = jacobi(2,2) DDSDDE(3,3) = jacobi(4,4) ! end if ! ! if rigid body (or matid not defined in PROPS) else ! DDSDDE=0. do i=1,NTENS DDSDDE(i,i)=largenum end do STRESS=0. ! ! end of crystal plasticity solution end if ! ! end of one-time initialization performed case end if ! ! ! RETURN END ================================================ FILE: Example - Polycrytal with PROPS/backstress.f ================================================ ! May 03rd, 2022 ! Eralp Demir ! module backstress implicit none contains ! ! Armstrong-Frederic backstress model ! Two input parameters are required subroutine backstressmodel1(backstressparam,nslip,X,gdot,dt,dX) use userinputs, only : maxnparam implicit none ! Inputs ! Backstress parameters real(8), intent(in) :: backstressparam(maxnparam) ! Number of slip systems integer, intent(in) :: nslip ! Current value of slip rate real(8), intent(in) :: gdot(nslip) ! Current value of backstress real(8), intent(in) :: X(nslip) ! time increment real(8), intent(in) :: dt ! ! Output ! Backtress increment real(8), intent(out) :: dX(nslip) ! ! Variables used in this subroutine ! Backstress evolution parameter real(8) :: h ! Backstress relief parameter real(8) :: hD integer :: is ! ! Backstress evolution h = backstressparam(1) ! ! Backstress annihiliation hD = backstressparam(2) ! dX = 0. do is=1,nslip ! dX(is) = (h*gdot(is) - hD*X(is)*abs(gdot(is)))*dt ! end do ! ! ! return end subroutine backstressmodel1 ! ! ! ! ! ! NON-LOCAL backstress calculation based on GND density subroutine backstressmodel2 use userinputs, only: maxnslip use globalvariables, only: numel, numpt, + materialid, numslip_all, numscrew_all, screw_all, + burgerv_all, gf_all, G12_all, v12_all, + backstressparam_all, statev_backstress, + statev_gnd, statev_gammasum use utilities, only: matvec6 implicit none integer :: matid, nslip, nscrew real(8) :: burgerv(maxnslip) integer :: screw(maxnslip) real(8) :: X(maxnslip) real(8) :: gf, G12, v12, xi real(8) :: rhoGNDe, rhoGNDs, gsum real(8) :: rhoGND(maxnslip) integer :: ie, ip, is, i, k, l ! ! ! ! ! ! do ie=1, numel ! ! Reset arrays burgerv=0.;screw=0 ! ! ! ! Assume the same material for al the Gaussian points of an element matid = materialid(ie,1) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! Screw systems screw = screw_all(matid,1:nscrew) ! ! Geometric factor gf = gf_all(matid) ! ! Shear Modulus G12 = G12_all(matid) ! ! Poisson's ratio v12 = v12_all(matid) ! ! Burgers vector burgerv(1:nslip) = burgerv_all(matid,1:nslip) ! ! Backstress parameter xi = backstressparam_all(matid,1) ! ! do ip=1,numpt ! ! ! ! ! ! ! Reset backstress X = 0. ! ! rhoGND=0. ! Edges do is = 1, nslip ! ! Sum of shear rates gsum = statev_gammasum(ie,ip,is) ! Edge dislocation density rhoGNDe = statev_gnd(ie,ip,is) ! !! ! rhoGND(is) = abs(statev_gnd(ie,ip,is)) ! ! ! Backstress due to edges X(is) = xi*G12/(1.-v12)*burgerv(is)* + sqrt(abs(rhoGNDe))*sign(1.0,gsum) ! ! ! end do ! ! ! ! Screws do i = 1, nscrew ! is = screw(i) ! ! Sum of shear rates gsum = statev_gammasum(ie,ip,is) ! Screw dislocation density rhoGNDs = statev_gnd(ie,ip,nslip+i) ! ! rhoGND(is) = rhoGND(is) + ! + abs(statev_gnd(ie,ip,nslip+i)) ! ! Backstress due to screws X(is) = X(is) + xi*G12*burgerv(is)* + sqrt(abs(rhoGNDs))*sign(1.0,gsum) ! ! ! end do ! ! !! Backstress ! do is = 1, nslip !! !! Sum of shear rates ! gsum = statev_gammasum(ie,ip,is) !! ! X(is) = xi*G12*burgerv(is)*sqrt(rhoGND(is)) ! + *sign(1.0,gsum) !! ! end do ! ! ! Assign to the global vector statev_backstress(ie,ip,1:nslip) = X(1:nslip) ! ! ! ! ! ! end do ! ! ! ! ! ! ! end do ! ! ! ! ! ! ! return ! end subroutine backstressmodel2 ! ! end module backstress ================================================ FILE: Example - Polycrytal with PROPS/cpsolver.f ================================================ ! Oct. 1st, 2022 ! Eralp Demir ! This module contains the solver schemes for crystal plasticity ! module cpsolver implicit none contains ! ! This subroutine deals with ! global variables and their assignments ! before entering the main solver: ! 1. assigns the global variables to locals ! before calling the CP-solver ! 2. calls fge-predictor scheme before as ! spare solution ! 3. calls implicit or explicit CP-solvers ! 4. assigns the results to the glboal state variables subroutine solve(noel, npt, dfgrd1, dfgrd0, + temp, dtemp, dt, matid, pnewdt, nstatv, statev, + sigma, jacobi) ! use globalvariables, only : dt_t, + statev_gmatinv, statev_gmatinv_t, + statev_gammasum_t, statev_gammasum, statev_ssdtot_t, + statev_gammadot_t, statev_gammadot, statev_ssdtot, + statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma, + statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth, + statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx, + statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd, + statev_ssd_t, statev_ssd, statev_loop_t, statev_loop, + statev_forest_t, statev_forest, statev_evmp_t, statev_evmp, + statev_substructure_t, statev_substructure, statev_sigma_t2, + statev_totgammasum_t, statev_totgammasum, + statev_tausolute_t, statev_tausolute, forestproj_all, + numslip_all, numscrew_all, phaseid_all, Schmid_0_all, + dirc_0_all, norc_0_all, caratio_all, cubicslip_all, + Cc_all, gf_all, G12_all, alphamat_all, burgerv_all, + sintmat1_all, sintmat2_all, hintmat1_all, hintmat2_all, + slipmodel_all, slipparam_all, creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, irradiationmodel_all, + irradiationparam_all, backstressparam_all, slip2screw_all, + statev_backstress_t, statev_backstress, statev_plasdiss_t, + statev_plasdiss, statev_tauceff, + I3, I6, smallnum ! use userinputs, only: constanttemperature, temperature, + predictor, maxnslip, maxnparam, maxxcr, cutback, + phi, maxnloop, stateupdate ! ! use usermaterials, only: materialparam ! use crss, only: slipresistance, totalandforest ! use useroutputs, only: assignoutputs, nstatv_outputs ! use errors, only: error ! use utilities, only: inv3x3, nolapinverse, matvec6, vecmat6, + rotord4sig, gmatvec6 ! implicit none ! ! element no integer, intent(in) :: noel ! ! ip no integer, intent(in) :: npt ! ! ! current deformation gradient real(8), intent(in) :: dfgrd1(3,3) ! ! former deformation gradient real(8), intent(in) :: dfgrd0(3,3) ! ! ABAQUS temperature real(8), intent(in) :: temp ! ! ABAQUS temperature increment real(8), intent(in) :: dtemp ! ! time step real(8), intent(in) :: dt ! ! material id integer, intent(in) :: matid ! ! time factor real(8), intent(inout) :: pnewdt ! ! number of state variables - for postprocessing integer, intent(in) :: nstatv ! ! state variables - postprocessing real(8), intent(inout) :: statev(nstatv) ! ! Cauchy stress real(8), intent(out) :: sigma(6) ! ! Material tangent real(8), intent(out) :: jacobi(6,6) ! ! Local variables used within this subroutine ! ! ! phase-id integer :: phaid ! ! number of slip systems integer :: nslip ! ! ! Convergence flag (initially set to zero!) ! ! Flag for crystal plasticity explicit/implicit solver integer :: cpconv ! ! Flag for Euler solver convergence integer :: cpconv0 ! ! ! Local state variables with known dimensions ! crystal to sample transformation at the former time step real(8) :: gmatinv_t(3,3) ! crystal to sample transformation at the former time step real(8) :: gmatinv(3,3) ! stress at the former time step real(8) :: sigma_t(6) ! rss/crsss ratio at the former time step real(8) :: maxx_t ! rss/crsss ratio at the current time step real(8) :: maxx ! elastic strains in the crystal reference at the former time step real(8) :: Eec_t(6) ! elastic strains in the crystal reference at the current time step real(8) :: Eec(6) ! plastic deformation gradient at the former time step real(8) :: Fp_t(3,3) ! plastic deformation gradient at the current time step real(8) :: Fp(3,3) ! thermal deformation gradient at the former time step real(8) :: Fth_t(3,3) ! thermal deformation gradient at the current time step real(8) :: Fth(3,3) ! inverse of the thermal deformation gradient at the former time step real(8) :: invFth_t(3,3) ! inverse of the thermal deformation gradient at the current time step real(8) :: invFth(3,3) ! determinant of the thermal deformation gradient real(8) :: detFth, detFth_t ! mechanical deformation gradient at the former time step real(8) :: F_t(3,3) ! mechanical deformation gradient at the current time step real(8) :: F(3,3) ! ! Variables for velocity gradient calculation ! Fdot real(8) :: Fdot(3,3) ! velocity gradient at the current time step real(8) :: L(3,3) ! inverse of the deformation gradient real(8) :: Finv(3,3) ! determinant of the deformation gradient real(8) :: detF ! ! Local state variable arrays ! sum of slip per slip system real(8) :: gammasum_t(numslip_all(matid)) real(8) :: gammasum(numslip_all(matid)) ! slip rates real(8) :: gammadot_t(numslip_all(matid)) real(8) :: gammadot(numslip_all(matid)) ! slip resistance real(8) :: tauc_t(numslip_all(matid)) real(8) :: tauc(numslip_all(matid)) ! effective overall slip resistance ! (tauc0 + GND + SSD + solute + substructure + forest + etc.) real(8) :: tauceff_t(numslip_all(matid)) real(8) :: tauceff(numslip_all(matid)) ! Note the size of GND is different ! gnd density (nslip + nscrew) real(8) :: gnd_t(numslip_all(matid)+numscrew_all(matid)) real(8) :: gnd(numslip_all(matid)+numscrew_all(matid)) ! ! ssd density (nslip) real(8) :: ssd_t(numslip_all(matid)) real(8) :: ssd(numslip_all(matid)) ! loop density (maxnloop) real(8) :: loop_t(maxnloop) real(8) :: loop(maxnloop) ! total forest dislocation density - derived from other terms real(8) :: rhofor_t(numslip_all(matid)) real(8) :: rhofor(numslip_all(matid)) ! total density real(8) :: rhotot_t(numslip_all(matid)) real(8) :: rhotot(numslip_all(matid)) ! forest dislocation density as a state variable real(8) :: forest_t(numslip_all(matid)) real(8) :: forest(numslip_all(matid)) ! ! ! Scalar state variables ! equivalent Von-Mises plastic strain real(8) :: evmp_t real(8) :: evmp ! ! cumulative slip real(8) :: totgammasum_t real(8) :: totgammasum ! ! plastic dissipation power real(8) :: plasdiss_t real(8) :: plasdiss ! ! solute strength real(8) :: tausolute_t real(8) :: tausolute ! substructure density real(8) :: substructure_t real(8) :: substructure ! total density real(8) :: ssdtot_t real(8) :: ssdtot ! scalar cumulartive density real(8) :: sumrhotot_t real(8) :: sumrhotot ! ! material-related local variables ! number screw systems integer :: nscrew ! slip model flag integer :: smodel ! creep model flag integer :: cmodel ! hardening model flag integer :: hmodel ! irradiation mdoel flag integer :: imodel ! cubic slip flag integer :: cubicslip ! material temperature real(8) :: mattemp ! c/a ratio for hcp materials real(8) :: caratio ! compliance at the crystal reference real(8) :: Cc(6,6) ! geometric factor real(8) :: gf ! shear modulus real(8) :: G12 ! Poisson's ratio real(8) :: v12 ! thermal expansion coefficient real(8) :: alphamat(3,3) ! slip parameters real(8) :: sparam(maxnparam) ! creep parameters real(8) :: cparam(maxnparam) ! hardening parameters real(8) :: hparam(maxnparam) ! irradiation parameters real(8) :: iparam(maxnparam) ! Backstress parameters real(8) :: bparam(maxnparam) ! Burgers vector real(8) :: burgerv(numslip_all(matid)) ! Interaction matrices ! Strength interaction between dislocations real(8) :: sintmat1(numslip_all(matid),numslip_all(matid)) ! Strength interaction dislocation loops related with irradiation real(8) :: sintmat2(numslip_all(matid),numslip_all(matid)) ! Latent hardening real(8) :: hintmat1(numslip_all(matid),numslip_all(matid)) ! Hardening interaction matrix between dislocations real(8) :: hintmat2(numslip_all(matid),numslip_all(matid)) ! ! ! slip direction and slip plane normal at the crystal reference (undeformed) real(8) :: dirc_0(numslip_all(matid),3) real(8) :: norc_0(numslip_all(matid),3) ! slip direction and slip plane normal at the sample reference real(8) :: dirs_t(numslip_all(matid),3) real(8) :: nors_t(numslip_all(matid),3) ! ! Forest projection operators for GND and SSD real(8) :: forestproj(numslip_all(matid), + numslip_all(matid)+numscrew_all(matid)) ! ! Slip to screw system map real(8) :: slip2screw(numscrew_all(matid),numslip_all(matid)) ! ! Schmid Dyadic real(8) :: Schmid_0(numslip_all(matid),3,3) real(8) :: Schmid(numslip_all(matid),3,3) real(8) :: Schmidvec(numslip_all(matid),6) real(8) :: SchmidxSchmid(numslip_all(matid),6,6) real(8) :: sdir(3), ndir(3), SNij(3,3), NSij(3,3) real(8) :: nsi(6), sni(6) ! ! ! ! strain calculations ! total strain increment real(8) :: dstran(6), dstran33(3,3) ! thermal strain increment real(8) :: dstranth33(3,3), dstranth(6) ! total spin increment real(8) :: domega(3) ! total spin (rate) 3x3 matrix real(8) :: W(3,3), dW33(3,3) ! ! Elasticity transformation ! temporary array for elastic stiffness calculation real(8) :: rot4(6,6) ! elasticity matrix at the deformed reference real(8) :: Cs(6,6) ! ! Trial stress calculation ! trial stress real(8) :: sigmatr(6) ! ! Backstress at current time real(8) :: X(numslip_all(matid)) ! Backstress at former time real(8) :: X_t(numslip_all(matid)) ! Backstress backup solution real(8) :: X0(numslip_all(matid)) ! ! stress with rotations real(8) :: sigmarot_t(6) ! ! stress (3x3) real(8) :: sigma33_t(3,3) ! ! ! Resolved shear stress calculation ! GUESS values real(8) :: sigma0(6), jacobi0(6,6) ! value of resolved shear stress real(8) :: tau0(numslip_all(matid)) ! ! value of resolved shear stress real(8) :: tau_t(numslip_all(matid)) ! ! value of trial resolved shear stress real(8) :: tautr(numslip_all(matid)) ! absolute value of resolved shear stress real(8) :: abstautr(numslip_all(matid)) ! ! dummy variables real(8) :: dummy3(3), dummy33(3,3) real(8) :: dummy33_(3,3) real(8) :: dummy6(6), dummy66(6,6) integer :: dum1, dum2, dum3 ! unused variables real(8) :: notused1(maxnslip) real(8) :: notused2(maxnslip) real(8) :: notused3(maxnslip) ! In case materials subroutine entered everytime ! Strength interaction between dislocations real(8) :: notused4(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8) :: notused5(maxnslip,maxnslip) ! Latent hardening real(8) :: notused6(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8) :: notused7(maxnslip,maxnslip) ! Initial forest and substructure densities real(8) :: notused8, notused9 ! ! counter integer :: is, i, j ! ! ! ! Reset sparse arrays notused1=0.;notused2=0.;notused3=0. notused4=0.;notused5=0. notused6=0.;notused7=0. ! ! ! ! convergence check initially ! if sinh( ) in the slip law has probably blown up ! then try again with smaller dt if(any(dfgrd1 /= dfgrd1)) then ! Set the outputs to zero initially sigma = 0. jacobi = I6 ! cut back time pnewdt = cutback ! warning message in .dat file call error(11) ! go to the end of subroutine return end if ! ! ! ! phase-id phaid = phaseid_all(matid) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! ! ! ! undeformed slip direction dirc_0 = dirc_0_all(matid,1:nslip,1:3) ! undeformed slip plane normal norc_0 = norc_0_all(matid,1:nslip,1:3) ! ! ! Forest projection for GND forestproj = forestproj_all(matid,1:nslip,1:nslip+nscrew) ! ! ! Slip to screw system mapping slip2screw = slip2screw_all(matid,1:nscrew,1:nslip) ! ! Initial Schmid tensor Schmid_0 = Schmid_0_all(matid,1:nslip,:,:) ! ! Assign the global state variables ! to the local variables ! at the former time step gammasum_t = statev_gammasum_t(noel,npt,1:nslip) gammadot_t = statev_gammadot_t(noel,npt,1:nslip) tauc_t = statev_tauc_t(noel,npt,1:nslip) gnd_t = statev_gnd_t(noel,npt,1:nslip+nscrew) ssd_t = statev_ssd_t(noel,npt,1:nslip) loop_t = statev_loop_t(noel,npt,1:maxnloop) ssdtot_t = statev_ssdtot_t(noel,npt) forest_t = statev_forest_t(noel,npt,1:nslip) substructure_t = statev_substructure_t(noel,npt) evmp_t = statev_evmp_t(noel,npt) plasdiss_t = statev_plasdiss_t(noel,npt) totgammasum_t = statev_totgammasum_t(noel,npt) tausolute_t = statev_tausolute_t(noel,npt) sigma_t = statev_sigma_t(noel,npt,:) Fp_t = statev_Fp_t(noel,npt,:,:) Fth_t = statev_Fth_t(noel,npt,:,:) Eec_t = statev_Eec_t(noel,npt,:) ! Crystal orientations at former time step gmatinv_t = statev_gmatinv_t(noel,npt,:,:) ! Backstress at former time step X_t = statev_backstress_t(noel,npt,1:nslip) ! ! ! Material parameters are constant caratio = caratio_all(matid) cubicslip = cubicslip_all(matid) Cc = Cc_all(matid,:,:) gf = gf_all(matid) G12 = G12_all(matid) alphamat = alphamat_all(matid,:,:) burgerv = burgerv_all(matid,1:nslip) ! ! sintmat1 = sintmat1_all(matid,1:nslip,1:nslip) sintmat2 = sintmat2_all(matid,1:nslip,1:nslip) hintmat1 = hintmat1_all(matid,1:nslip,1:nslip) hintmat2 = hintmat2_all(matid,1:nslip,1:nslip) ! ! ! smodel = slipmodel_all(matid) sparam = slipparam_all(matid,1:maxnparam) cmodel = creepmodel_all(matid) cparam = creepparam_all(matid,1:maxnparam) hmodel = hardeningmodel_all(matid) hparam = hardeningparam_all(matid,1:maxnparam) imodel = irradiationmodel_all(matid) iparam = irradiationparam_all(matid,1:maxnparam) bparam = backstressparam_all(matid,1:maxnparam) ! ! ! ! ! Temperature is constant and defined by the user if (constanttemperature == 1) then ! ! ! Assign temperature mattemp = temperature ! ! ! ! Temperature is defined by ABAQUS ! Material properties are entered every time ! Because properties can be temperature dependent else if (constanttemperature == 0) then ! ! Use ABAQUS temperature (must be in K) mattemp = temp ! ! ! get material constants call materialparam(matid,mattemp, + dum1,dum2,dum3,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,notused1, ! state variables are NOT updated here + notused2,notused3,notused8,notused9, + smodel,sparam,cmodel,cparam, + hmodel,hparam,imodel,iparam, + notused4,notused5,notused6, + notused7,bparam) ! Interaction matrices are not updated here ! ! ! ! ! end if ! ! ! ! ! ! ! ! Slip directions in the sample reference call rotateslipsystems(phaid,nslip,caratio, + gmatinv_t,dirc_0,norc_0,dirs_t,nors_t) ! ! ! Calculate Schmid tensors and Schmid dyadic Schmid=0.; SchmidxSchmid=0. do is=1,nslip ! ! Slip direction sdir = dirs_t(is,:) ! Slip plane normal ndir = nors_t(is,:) ! do i=1,3 do j=1,3 SNij(i,j) = sdir(i)*ndir(j) NSij(j,i) = ndir(j)*sdir(i) Schmid(is,i,j) = SNij(i,j) enddo enddo ! ! ! ! call gmatvec6(SNij,sni) ! call gmatvec6(NSij,nsi) ! ! Vectorized Schmid tensor Schmidvec(is,1:6) = sni ! do i=1,6 do j=1,6 SchmidxSchmid(is,i,j)=sni(i)*nsi(j) enddo enddo ! enddo ! ! ! ! Calculate total and forest density call totalandforest(phaid, nscrew, nslip, + gnd_t, ssd_t, + ssdtot_t, forest_t, + forestproj, slip2screw, rhotot_t, + sumrhotot_t, rhofor_t) ! ! ! ! Calculate crss call slipresistance(phaid, nslip, gf, G12, + burgerv, sintmat1, sintmat2, tauc_t, + rhotot_t, sumrhotot_t, rhofor_t, substructure_t, + tausolute_t, loop_t, hmodel, hparam, imodel, iparam, + mattemp, tauceff_t) ! ! ! ! ! Elastic stiffness in the sample reference ! ! Rotation matrix - special for symmetric 4th rank transformation call rotord4sig(gmatinv_t,rot4) ! ! ! ! Elasticity tensor in sample reference dummy66=matmul(rot4,Cc) Cs = matmul(dummy66,transpose(rot4)) ! !! To avoid numerical problems ! Cs = (Cs + transpose(Cs))/2. ! ! ! ! ! ! CALCULATION OF THERMAL STRAINS ! ! No thermal strains if (constanttemperature == 1) then ! ! dstranth = 0. ! F = dfgrd1 ! F_t = dfgrd0 ! Fth = Fth_t ! ! Thermal strains if temperature change is defined by ABAQUS else ! ! Thermal eigenstrain in the crystal reference system dstranth33 = dtemp*alphamat ! ! Transform the thermal strains to sample reference dstranth33 = matmul(matmul(gmatinv_t,dstranth33), + transpose(gmatinv_t)) ! ! ! ! ! ! Convert to a vector call matvec6(dstranth33,dstranth) ! ! Shear corrections dstranth(4:6) = 2.0*dstranth(4:6) ! ! ! ! Thermal deformation gradient Fth = Fth_t + dstranth33 ! ! Invert the thermal distortions call inv3x3(Fth,invFth,detFth) ! call inv3x3(Fth_t,invFth_t,detFth_t) ! ! Take out the thermal distortions from the total deformation F = matmul(dfgrd1,invFth) ! F_t = matmul(dfgrd0,invFth_t) ! ! ! end if ! ! ! ! ! MECHANICAL PART OF THE DEFORMATION GRADIENT ! Calculate velocity gradient ! Rate of deformation gradient Fdot = (F - F_t) / dt ! ! Inverse of the deformation gradient call inv3x3(F,Finv,detF) ! ! Velocity gradient L = matmul(Fdot,Finv) ! ! ! ! ! ! ! CALCULATION OF TOTAL & MECHANICAL STRAINS ! ! Total stain increment from velocity gradient dstran33=(L+transpose(L))*0.5*dt ! ! ! call matvec6(dstran33,dstran) ! ! Shear corrections dstran(4:6) = 2.0*dstran(4:6) ! ! ! Total spin W=(L-transpose(L))*0.5 ! ! ! ! Total spin increment - components ! This is corrected as follows: Eralp - Alvaro 19.02.2023 ! The solution in Huang et al gives the negative -1/2*W ! We obtained the spin directly from velocity gradient ! 1. It is positive ! 2. It has to be divided by 2 domega(1) = W(1,2) - W(2,1) domega(2) = W(3,1) - W(1,3) domega(3) = W(2,3) - W(3,2) domega = domega * dt / 2. ! ! ! ! ! Store the stress before rotation correction sigmarot_t = sigma_t ! ! ! CALCULATION OF TRIAL STRESS ! ! Trial stress sigmatr = sigma_t + matmul(Cs,dstran) ! ! ! ! 3x3 stress tensor call vecmat6(sigma_t,sigma33_t) ! ! ! ! Co-rotational stress sigma33_t = sigma33_t + + (matmul(W,sigma33_t) - + matmul(sigma33_t,W))*dt ! ! ! ! Vectorize the initial guess call matvec6(sigma33_t,sigma_t) ! ! ! ! ! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tau_t(is) = dot_product(Schmidvec(is,:),sigma_t) end do ! ! ! ! CALCULATE TRIAL-RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tautr(is) = dot_product(Schmidvec(is,:),sigmatr) abstautr(is) = abs(tautr(is)) end do ! ! ! maximum ratio of rss to crss maxx = maxval(abstautr/tauceff_t) ! ! ! ! ! DECISION FOR USING CRYSTAL PLASTICITY ! BASED ON THRESHOLD VALUE ! ! Elastic solution if (maxx <= maxxcr) then ! ! ! ! ! stress sigma = sigmatr ! ! material tangent jacobi = Cs ! ! ! Assign the global state variables ! For NO SLIP condition totgammasum=totgammasum_t gammasum=gammasum_t gammadot=0. tauceff=tauceff_t tauc=tauc_t gnd=gnd_t ssd=ssd_t loop = loop_t ssdtot=ssdtot_t forest=forest_t substructure=substructure_t evmp=evmp_t plasdiss=plasdiss_t tausolute=tausolute_t Fp=Fp_t X=X_t cpconv=1 cpconv0=0 ! ! Update orietnations ! All the orientation changes are elastic - rotations dW33=0. dW33(1,2) = domega(1) dW33(1,3) = -domega(2) dW33(2,1) = -domega(1) dW33(2,3) = domega(3) dW33(3,1) = domega(2) dW33(3,2) = -domega(3) ! gmatinv = gmatinv_t + matmul(dW33,gmatinv_t) ! ! Elastic strains in the crystal lattice ! Add the former elastic strains ! ! Undo shear corrections dummy6 = dstran dummy6(4:6) = 0.5*dummy6(4:6) ! ! Convert the strain into matrix call vecmat6(dummy6,dummy33) ! ! Elastic strains in the crystal reference dummy33_ = matmul(transpose(gmatinv),dummy33) dummy33 = matmul(dummy33_,gmatinv) ! ! ! Vectorize call matvec6(dummy33,dummy6) ! ! Shear corrections dummy6(4:6) = 2.0*dummy6(4:6) ! Eec=Eec_t+dummy6 ! ! ! ! ! Solve using crystal plasticity else ! ! ! ! Guess if Forward Gradient Predictor scheme is not active if (predictor == 0) then ! sigma0 = (1.-phi)*sigma_t + phi*sigmatr ! ! ! ! This part is added by Chris Hardie (11/05/2023) ! Former stress scheme elseif (predictor == 1) then ! ! ! if (dt_t > 0.0) then ! do i = 1, 6 sigma0(i) = + statev_sigma_t(noel,npt,i) + + (statev_sigma_t(noel,npt,i) - + statev_sigma_t2(noel,npt,i))*dt/dt_t end do ! else sigma0 = sigma_t end if ! ! ! ! ! ! ! ! ! ! end if ! ! ! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tau0(is) = dot_product(Schmidvec(is,:),sigma0) end do ! ! ! call CP_Dunne(matid, phaid, + nslip, nscrew, mattemp, Cs, gf, G12, + burgerv, cubicslip, caratio, + Fp_t, gmatinv_t, Eec_t, + gammadot_t, gammasum_t, + totgammasum_t, evmp_t, plasdiss_t, + sigma0, tau0, sigmatr, + forestproj, slip2screw, + Schmid_0, Schmid, + Schmidvec, SchmidxSchmid, + smodel, sparam, cmodel, cparam, + imodel, iparam, hmodel, hparam, + bparam, sintmat1, sintmat2, + hintmat1, hintmat2, + tauceff_t, tauc_t, rhotot_t, + sumrhotot_t, ssdtot_t, + rhofor_t, forest_t, substructure_t, + gnd_t, ssd_t, loop_t, X_t, + dt, L, dstran, + Fp, gmatinv, Eec, + gammadot, gammasum, + totgammasum, evmp, plasdiss, + tauceff, tauc, tausolute, + ssdtot, ssd, loop, X, + forest, substructure, + sigma, jacobi, cpconv) ! ! ! ! ! ! ! ! ! ! ! STILL NOT CONVERGED THE CUTBACK TIME ! Convergence check ! Use cpsolver did not converge ! Diverged! - use time cut backs if (cpconv == 0) then ! ! Set the outputs to zero initially sigma = 0.!statev_sigma_t(noel,npt,:) jacobi = 0.!statev_jacobi_t(noel,npt,:,:) ! Set time cut back and send a message pnewdt = cutback ! endif ! ! ! ! endif ! ! ! ! ! ! ! Assign the global state variables statev_gammasum(noel,npt,1:nslip)=gammasum statev_gammadot(noel,npt,1:nslip)=gammadot statev_tauc(noel,npt,1:nslip)=tauc statev_ssd(noel,npt,1:nslip)=ssd statev_loop(noel,npt,1:maxnloop)=loop statev_ssdtot(noel,npt)=ssdtot statev_forest(noel,npt,1:nslip)=forest statev_substructure(noel,npt)=substructure statev_evmp(noel,npt)=evmp statev_maxx(noel,npt)=maxx statev_totgammasum(noel,npt)=totgammasum statev_tausolute(noel,npt)=tausolute statev_sigma(noel,npt,1:6)=sigma statev_jacobi(noel,npt,1:6,1:6)=jacobi statev_Fp(noel,npt,1:3,1:3)=Fp statev_Fth(noel,npt,1:3,1:3)=Fth statev_Eec(noel,npt,1:6)=Eec ! Crystal orientations at former time step statev_gmatinv(noel,npt,1:3,1:3)=gmatinv ! Backstress statev_backstress(noel,npt,1:nslip)=X ! Plastic dissipation power density statev_plasdiss(noel,npt)=plasdiss ! Overall CRSS statev_tauceff(noel,npt,1:nslip)=tauceff ! ! Write the outputs for post-processing ! If outputs are defined by the user if (nstatv_outputs>0) then ! call assignoutputs(noel,npt,nstatv,statev) ! end if ! ! ! ! ! ! return end subroutine solve ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! Semi-implicit / Explicit state update rule ! Solution using state variables at the former time step subroutine CP_Dunne(matid, phaid, + nslip, nscrew, mattemp, Cs, gf, G12, + burgerv, cubicslip, caratio, + Fp_t, gmatinv_t, Eec_t, + gammadot_t, gammasum_t, + totgammasum_t, evmp_t, plasdiss_t, + sigma0, tau0, + sigmatr, forestproj, slip2screw, + Schmid_0, Schmid, + Schmidvec, SchmidxSchmid, + slipmodel, slipparam, + creepmodel, creepparam, + irradiationmodel, irradiationparam, + hardeningmodel, hardeningparam, + backstressparam, + sintmat1, sintmat2, + hintmat1, hintmat2, + tauceff_t, tauc_t, rhotot_t, + sumrhotot_t, ssdtot_t, rhofor_t, + forest_t, substructure_t, + gnd_t, ssd_t, loop_t, X_t, + dt, L, dstran, + Fp, gmatinv, Eec, + gammadot, gammasum, + totgammasum, evmp, plasdiss, + tauceff, tauc, tausolute, + ssdtot, ssd, loop, X, + forest, substructure, + sigma, jacobi, cpconv) ! use globalvariables, only : I3, I6, smallnum ! use userinputs, only : maxniter, maxnparam, maxnloop, + tauctolerance , SVDinversion, + backstressmodel, stateupdate, inversebackup ! use innerloop, only : Dunne_innerloop, Hardie_innerloop ! use utilities, only : vecmat6, matvec6, + nolapinverse, deter3x3, inv3x3, trace3x3, + vecmat9, matvec9, nolapinverse, SVDinverse ! use slip, only : sinhslip, doubleexpslip, + powerslip ! use creep, only : expcreep ! use hardening, only: hardeningrules ! use backstress, only: backstressmodel1 ! use crss, only: slipresistance, totalandforest ! use errors, only : error ! implicit none ! ! ! INPUTS ! ! material-id integer, intent(in) :: matid ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! number of screw sytems integer, intent(in) :: nscrew ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! geometric factor real(8), intent(in) :: gf ! elastic shear modulus real(8), intent(in) :: G12 ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! plastic part of the deformation gradient at former time step real(8), intent(in) :: Fp_t(3,3) ! Crystal to sample transformation martrix at former time step real(8), intent(in) :: gmatinv_t(3,3) ! Lattice strains real(8), intent(in) :: Eec_t(6) ! slip rates at the former time step real(8), intent(in) :: gammadot_t(nslip) ! total slip per slip system accumulated over the time ! at the former time step real(8), intent(in) :: gammasum_t(nslip) ! overall total slip at the former time step real(8), intent(in) :: totgammasum_t ! Von-Mises equivalent total plastic strain at the former time step real(8), intent(in) :: evmp_t ! Plastic dissipation power density at the former time step real(8), intent(in) :: plasdiss_t ! Cauchy stress guess real(8), intent(in) :: sigma0(6) ! rss guess real(8), intent(in) :: tau0(nslip) ! trial stress real(8), intent(in) :: sigmatr(6) ! Forest projections real(8), intent(in) :: forestproj(nslip,nslip+nscrew) ! Forest projections real(8), intent(in) :: slip2screw(nscrew,nslip) ! Initial Schmid tensor real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! creep model no. integer, intent(in) :: creepmodel ! creep model parameters real(8), intent(in) :: creepparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! hardening model no. integer, intent(in) :: hardeningmodel ! hardening model parameters real(8), intent(in) :: hardeningparam(maxnparam) ! backstress model parameters real(8), intent(in) :: backstressparam(maxnparam) ! ! Interaction matrices ! Strength interaction between dislocations real(8), intent(in) :: sintmat1(nslip,nslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(in) :: sintmat2(nslip,nslip) ! Latent hardening real(8), intent(in) :: hintmat1(nslip,nslip) ! Hardening interaction matrix between dislocations real(8), intent(in) :: hintmat2(nslip,nslip) ! ! ! overall crss real(8), intent(in) :: tauceff_t(nslip) ! crss at former time step real(8), intent(in) :: tauc_t(nslip) ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: rhotot_t(nslip) ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: sumrhotot_t ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: ssdtot_t ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor_t(nslip) ! forest dislocation density per slip system at the former time step (hardening model = 4) real(8), intent(in) :: forest_t(nslip) ! substructure dislocation density at the former time step real(8), intent(in) :: substructure_t ! statistically-stored dislocation density per slip system at the former time step real(8), intent(in) :: gnd_t(nslip+nscrew) ! statistically-stored dislocation density per slip system at the former time step real(8), intent(in) :: ssd_t(nslip) ! loop defect density per slip system at the former time step real(8), intent(in) :: loop_t(maxnloop) ! backstress at former time step real(8), intent(in) :: X_t(nslip) ! time increment real(8), intent(in) :: dt ! total velocity gradient at the current time step real(8), intent(in) :: L(3,3) ! mechanical strain increment real(8), intent(in) :: dstran(6) ! ! ! ! OUTPUTS ! ! plastic part of the deformation gradient real(8), intent(out) :: Fp(3,3) ! Crystal to sample transformation martrix at current time step real(8), intent(out) :: gmatinv(3,3) ! Green-Lagrange strains in the crystal reference real(8), intent(out) :: Eec(6) ! slip rates at the current time step real(8), intent(out) :: gammadot(nslip) ! total slip per slip system accumulated over the time ! at the current time step real(8), intent(out) :: gammasum(nslip) ! overall total slip at the current time step real(8), intent(out) :: totgammasum ! Von-Mises equivalent total plastic strain at the current time step real(8), intent(out) :: evmp ! Plastic dissipation power density at the current time step real(8), intent(out) :: plasdiss ! Current values of state variables ! overall crss real(8), intent(out) :: tauceff(nslip) ! crss at the current time step real(8), intent(out) :: tauc(nslip) ! solute strength due to irradiation hardening real(8), intent(out) :: tausolute ! total dislocation density over all slip systems at the current time step real(8), intent(out) :: ssdtot ! forest dislocation density per slip system at the current time step real(8), intent(out) :: forest(nslip) ! substructure dislocation density at the current time step real(8), intent(out) :: substructure ! statistically-stored dislocation density per slip system at the current time step real(8), intent(out) :: ssd(nslip) ! loop defect density per slip system at the current time step real(8), intent(out) :: loop(maxnloop) ! crss at the current time step real(8), intent(out) :: X(nslip) ! Cauchy stress real(8), intent(out) :: sigma(6) ! material tangent real(8), intent(out) :: jacobi(6,6) ! convergence flag integer, intent(out) :: cpconv ! ! ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3), Dp_s(3,3) ! plastic velocity gradient for creep real(8) Lp_c(3,3), Dp_c(3,3) ! plastic velocity gradient real(8) Lp(3,3), Dp(3,3) ! plastic tangent stiffness for slip real(8) Pmat_s(6,6) ! plastic tangent stiffness for creep real(8) Pmat_c(6,6) ! tangent matrix for NR iteration real(8) Pmat(6,6) ! slip rates for slip real(8) gammadot_s(nslip) ! slip rates for creep real(8) gammadot_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtau_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtau_c(nslip) ! derivative of slip rates wrto crss for slip real(8) dgammadot_dtauc_s(nslip) ! derivative of slip rates wrto crss for creep real(8) dgammadot_dtauc_c(nslip) ! ! ! rss at the former time step real(8) :: tau(nslip) ! absolute RSS and sign (used in Hardie scheme) real(8) :: abstau(nslip), signtau(nslip) ! ! trial absolute RSS and sign (used in Hardie scheme) real(8) :: tautr(nslip), abstautr(nslip), signtautr(nslip) ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8) :: dpsi_dsigma(6,6), invdpsi_dsigma(6,6) ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psi(6) ! ! Von-Mises equivalent plastic strain rate and increment real(8) :: pdot ! ! stress increment real(8) :: dsigma(6) ! ! stress 3x3 matrix real(8) :: sigma33(3,3) ! ! plastic part of the deformation gradient real(8) :: detFp, invFp(3,3) ! ! elastic part of the deformation gradient real(8) :: Fe(3,3) ! ! elastic part of the velocity gradient real(8) :: Le(3,3) ! ! elastic spin real(8) :: We(3,3) ! ! increment in rotation matrix real(8) :: dR(3,3) ! ! Von-Mises stress real(8) :: sigmaii, vms, sigmadev(3,3) ! ! Co-rotational stress update real(8) :: dotsigma33(3,3) ! ! Cauchy stress at former time step in 3x3 real(8) :: sigma33_t(3,3) ! ! Total mechanical strain increment real(8) :: dstran33(3,3) ! ! plastic strain increment real(8) :: dstranp33(3,3) ! ! elastic strain increment real(8) :: dstrane33(3,3) ! ! crss increment real(8) :: dtauc(nslip) ! ! ! ssd density increment real(8) :: dssd(nslip) ! ! ssd density increment real(8) :: dloop(maxnloop) ! ! backstress increment real(8) :: dX(nslip) ! ! total ssd density increment real(8) :: dssdtot ! ! forest dislocation density increment real(8) :: dforest(nslip) ! ! substructure dislocation density increment real(8) :: dsubstructure ! ! Residues real(8) :: dtauceff(nslip), tauceff_old(nslip) ! ! ! overall forest density real(8) :: rhofor(nslip) ! ! overall total density real(8) :: rhotot(nslip) ! ! overall total scalar density real(8) :: sumrhotot ! ! Overall residue real(8) :: dtauceffnorm ! ! error flag for svd inversion integer :: err ! ! other variables real(8) :: dummy3(3), dummy33(3,3), + dummy33_(3,3), dummy6(6), dummy0 integer :: is, il, iter, oiter integer :: iterinverse ! ! ! Set convergence flag to "converged" cpconv = 1 ! ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigma0 tau = tau0 ! ! ! State assignments gammasum=gammasum_t tauc = tauc_t tauceff = tauceff_t ssdtot = ssdtot_t ssd = ssd_t loop = loop_t rhofor = rhofor_t X = X_t forest = forest_t substructure = substructure_t ! ! Reset variables for the inner iteration oiter = 0 dtauceffnorm = 1. ! ! ! Outer loop for state update do while ((dtauceffnorm >= tauctolerance) +.and.(oiter < maxniter).and.(cpconv==1)) ! ! ! ! call Dunne_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! ! ! convergence check if (iter == maxniter) then ! did not converge cpconv = 0 end if ! ! ! Check for NaN in the slip rate vector if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 endif ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 endif ! ! Check for NaN in the stress vector if(any(sigma/=sigma)) then ! did not converge cpconv = 0 endif ! ! ! Inverse scheme start here!!! ! Try inverse scheme if not converged if ((cpconv==0).and.(inversebackup==1)) then ! ! Reset convergence flag cpconv=1 ! ! Calculate trial-resolved shear stress on slip systems ! Absolute value of trial-RSS and its sign do is = 1, nslip tautr(is) = dot_product(Schmidvec(is,:),sigmatr) signtautr(is) = sign(1.0,tautr(is)) abstautr(is) = abs(tautr(is)) end do ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigma0 tau = tau0 ! Absolute value of RSS and its sign do is = 1, nslip signtau(is) = sign(1.0,tau0(is)) abstau(is) = abs(tau0(is)) end do ! ! Reverse slip scheme call Hardie_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + irradiationmodel, + irradiationparam, + dt,sigmatr, + abstautr,signtautr, + tauceff,rhofor,X, + sigma,iterinverse) ! ! ! ! ! Recalculate RSS on slip systems ! RSS and its sign do is = 1, nslip tau(is) = dot_product(Schmidvec(is,:),sigma) end do ! ! ! Call the Dunne solver again call Dunne_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! ! assign jacobi and stress if (cpconv == 0) then return end if ! end if ! End of inverse solution ! ! ! ! Calculate Von Mises invariant plastic strain rate pdot=sqrt(2./3.*sum(Dp*Dp)) ! ! ! Total plastic strain increment evmp = evmp_t + pdot*dt ! ! Total slip over time per slip system gammasum = 0. do is = 1, nslip ! gammasum(is) = gammasum_t(is) + + gammadot(is)*dt ! enddo ! ! ! Total slip totgammasum = totgammasum_t + + sum(abs(gammadot))*dt ! ! ! ! convergence check if (iter == maxniter) then ! did not converge cpconv = 0 return end if ! ! ! ! Check for NaN in the slip rate vector if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 return endif ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 return endif ! ! Check for NaN in the stress vector if(any(sigma/=sigma)) then ! did not converge cpconv = 0 return endif ! ! ! ! ! ! ! ! ! Update the states using hardening laws call hardeningrules(phaid,nslip, + mattemp,dt,G12,burgerv, + totgammasum,gammadot,pdot, + irradiationmodel,irradiationparam, + hardeningmodel,hardeningparam, + hintmat1,hintmat2, + tauc_t,ssd_t,loop_t, + rhofor_t,rhotot_t,substructure_t, + tausolute,dtauc,dssdtot,dforest, + dsubstructure,dssd,dloop) ! ! ! ! ! Update the hardening states ! tauc = tauc_t + dtauc ! ssd = ssd_t + dssd ! loop = loop_t + dloop ! ssdtot = ssdtot_t + dssdtot ! forest = forest_t + dforest ! substructure = substructure_t + dsubstructure ! ! ! ! Recalculate total and forest density call totalandforest(phaid, + nscrew, nslip, gnd_t, + ssd, ssdtot, forest, + forestproj, slip2screw, rhotot, + sumrhotot, rhofor) ! ! ! ! Store the former value of effective tauc tauceff_old = tauceff ! ! Recalculate slip resistance for the next iteration ! Calculate crss call slipresistance(phaid, nslip, + gf, G12, burgerv, sintmat1, sintmat2, + tauc, rhotot, sumrhotot, rhofor, + substructure, tausolute, loop, + hardeningmodel, hardeningparam, + irradiationmodel, irradiationparam, + mattemp, tauceff) ! ! ! Calculate the change of state ! with respect to the former increment dtauceff = abs(tauceff-tauceff_old) ! ! Explicit state update if (stateupdate==0) then dtauceffnorm = 0. ! Semi-implicit state update elseif (stateupdate==1) then dtauceffnorm = maxval(dtauceff) end if ! ! ! ! Check if the statevariables going negative due to softening ! This may happen at high temperature and strain rates constants going bad if(any(tauc < 0.)) then ! did not converge cpconv = 0 return endif ! if(any(ssd < 0.)) then ! did not converge cpconv = 0 return endif ! ! Loop density set to zero if negative do il = 1, maxnloop if(loop(il) < 0.) then ! loop(il) = 0. ! endif enddo ! ! if(any(forest < 0.)) then ! did not converge cpconv = 0 return endif ! if(substructure < 0.) then ! did not converge cpconv = 0 return endif ! ! ! Update backstress if local model is selected if (backstressmodel==1) then ! call backstressmodel1(backstressparam, + nslip,X,gammadot,dt,dX) ! ! Update the backstress X = X_t + dX ! end if ! ! ! increment iteration no. oiter = oiter + 1 ! ! End of state update (outer loop) end do ! ! ! ! convergence check if (oiter == maxniter) then ! did not converge cpconv = 0 return end if ! ! ! ! ! calculate jacobian jacobi = matmul(invdpsi_dsigma,Cs) ! ! ! ! Check for NaN in the jacobi matrix if(any(jacobi/=jacobi)) then ! did not converge cpconv = 0 return endif ! ! ! ! ! convert it to 3x3 marix call vecmat6(sigma,sigma33) ! ! Trace of stress call trace3x3(sigma33,sigmaii) ! ! deviatoric stress sigmadev = sigma33 - sigmaii*I3/3. ! ! Von-Mises stress vms = sqrt(3./2.*(sum(sigmadev*sigmadev))) ! ! ! variables for plastic part of the deformation gradient !dummy33 = I3 - Lp*dt !call inv3x3(dummy33,dummy33_,dummy0) dummy33_ = I3 + Lp*dt ! ! plastic part of the deformation gradient Fp = matmul(dummy33_,Fp_t) ! ! determinant call deter3x3(Fp,detFp) ! ! ! ! ! check wheter the determinant is negative ! or close zero if (detFp <= smallnum) then ! did not converge cpconv = 0 return else ! Scale Fp with its determinant to make it isochoric Fp = Fp / detFp**(1./3.) ! end if ! ! ! ! ! ! ! Elastic part of the velocity gradient Le = L - Lp ! ! Elastic spin We = (Le - transpose(Le)) / 2. ! ! ! ! stress rate due to spin dotsigma33 = matmul(We,sigma33) - matmul(sigma33,We) ! ! ! Update co-rotational sress state sigma33 = sigma33 + dotsigma33*dt ! ! ! Vectorize stress call matvec6(sigma33,sigma) ! ! ! ! ! ! Orientation update ! ! Intermediate variable dR = I3 - We*dt ! ! Invert or transpose since rotations are orthogonal dR = transpose(dR) ! ! ! ! Update the crystal orientations gmatinv = matmul(dR, gmatinv_t) ! ! ! ! ! Undo shear corrections dummy6 = dstran dummy6(4:6) = 0.5*dummy6(4:6) ! ! Convert the strain into matrix call vecmat6(dummy6,dstran33) ! ! Elastic strain increment dstrane33 = dstran33-dstranp33 ! ! Elastic strains in the crystal reference dummy33_ = matmul(transpose(gmatinv),dstrane33) dummy33 = matmul(dummy33_,gmatinv) ! ! Vectorize call matvec6(dummy33,dummy6) ! ! Shear corrections dummy6(4:6) = 2.0*dummy6(4:6) ! ! Add the strain increment to the former value Eec=Eec_t+dummy6 ! ! ! Plastic dissipation power density plasdiss=0. do is = 1, nslip ! plasdiss = plasdiss + + tau(is)*gammadot(is)*dt ! enddo ! ! ! Sum over the fomer value plasdiss = plasdiss_t + plasdiss ! ! ! ! ! ! ! ! ! ! ! return end subroutine CP_Dunne ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! Implicit state update rule ! Solution using the updated state variables subroutine rotateslipsystems(iphase,nslip,caratio, + gmatinv,dirc,norc,dirs,nors) implicit none integer, intent(in) :: iphase integer, intent(in) :: nslip real(8), intent(in) :: caratio real(8), intent(in) :: gmatinv(3,3) real(8), intent(in) :: dirc(nslip,3) real(8), intent(in) :: norc(nslip,3) real(8), intent(out) :: dirs(nslip,3) real(8), intent(out) :: nors(nslip,3) ! integer :: i, is real(8) :: tdir(3), tnor(3) real(8) :: tdir1(3), tnor1(3) real(8) :: dirmag, normag ! dirs=0.;nors=0. ! ! do is=1,nslip ! rotate slip directions ! tdir = dirc(is,:) tnor = norc(is,:) ! ! ! tdir1 = matmul(gmatinv,tdir) tnor1 = matmul(gmatinv,tnor) ! dirmag = norm2(tdir1) normag = norm2(tnor1) ! ! dirs(is,:) = tdir1/dirmag nors(is,:) = tnor1/normag ! ! end do ! ! ! ! return end subroutine rotateslipsystems ! ! ! ! ! ! ! ! ! ! ! ! ! end module cpsolver ================================================ FILE: Example - Polycrytal with PROPS/creep.f ================================================ ! Oct. 6th, 2022 ! Eralp Demir ! Creep laws ! 1. exponential law (used for Ni-superalloy) ! module creep implicit none contains ! ! subroutine expcreep(Schmid_0, + Schmid,SchmidxSchmid,tau,X,tauc, + dtime,nslip,iphase,T,creepparam,slipsysplasstran, + Lp,Dp,Pmat,gammadot,dgammadot_dtau,dgammadot_dtauc) ! use globalvariables, only : Rgas use utilities, only : gmatvec6 use userinputs, only: maxnparam implicit none ! Schmid tensor - undeformed real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor - deformed real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! time increment real(8), intent(in) :: dtime ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: creepparam(maxnparam) ! accumulated plastic strain on each slip system, signed real(8), intent(in) :: slipsysplasstran(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! variables used within this subroutine real(8) :: gammadotc, gammadotd, bc, bd, Qc, Qd real(8) :: abstau, signtau integer :: is ! ! ! ! ! Obtain creep parameters ! reference creep rate (1/s) gammadotc = creepparam(1) ! creep stress multiplier (1/MPa) bc = creepparam(5) ! activation energy for creep (J/mol) Qc = creepparam(3) ! reference damage rate (1/s) gammadotd = creepparam(4) ! damage stress multiplier (1/MPa) bd = creepparam(5) ! activation energy for damage (J/mol) Qd = creepparam(6) ! ! ! Pmat = 0.; Lp = 0.; Dp = 0. ! gammadot=0. dgammadot_dtau=0. dgammadot_dtauc=0. ! ! ! ! contribution to Lp of all slip systems do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! This statement is redundant so commented out! ! if (abstau > 0.0) then ! ! gammadot(is) = + signtau*gammadotc*exp(bc*abstau-Qc/Rgas/T) + + signtau*abs(slipsysplasstran(is))*gammadotd* + exp(bd*abstau-Qd/Rgas/T) ! dgammadot_dtau(is) = gammadotc*bc* + exp(bc*abstau-Qc/Rgas/T) + + abs(slipsysplasstran(is))* + gammadotd*bd*exp(bd*abstau-Qd/Rgas/T) ! ! ! ! ! contribution to Jacobian Pmat = Pmat + dtime*dgammadot_dtau(is) + *SchmidxSchmid(is,:,:) ! ! plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! ! plastic velocity gradient contribution Dp = Dp + gammadot(is)*Schmid(is,:,:) ! ! ! endif ! ! ! end do ! ! ! ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! ! ! end subroutine expcreep ! ! ! ! ! end module creep ================================================ FILE: Example - Polycrytal with PROPS/crss.f ================================================ ! Oct. 03rd, 2022 ! Eralp Demir ! module crss implicit none contains ! ! ******************************************************** ! ** crss calculates the crss of slip systems ** ! ******************************************************** subroutine slipresistance(iphase,nslip,gf,G12, + burgerv,sintmat1,sintmat2, + tauc0,rhotot,sumrhotot,rhofor, + rhosub,tausolute,loop, + hardeningmodel, hardeningparam, + irradiationmodel,irradiationparam, + temperature, + tauc) use userinputs, only: useaveragestatevars, + maxnloop, maxnparam implicit none ! ! crystal type integer,intent(in) :: iphase ! ! number of slip systems integer,intent(in) :: nslip ! ! geometric factor real(8),intent(in) :: gf ! ! shear modulus for taylor dislocation law real(8),intent(in) :: G12 ! ! burgers vectors real(8),intent(in) :: burgerv(nslip) ! ! Strength interaction matrices ! Strength interaction between dislocations real(8), intent(in) :: sintmat1(nslip,nslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(in) :: sintmat2(nslip,nslip) ! ! ! critical resolved shear stress of slip systems real(8),intent(in) :: tauc0(nslip) ! ! total dislocation density (immobile) real(8),intent(in) :: rhotot(nslip) ! ! total scalar dislocation density (immobile) real(8),intent(in) :: sumrhotot ! ! forest dislocation density real(8),intent(in) :: rhofor(nslip) ! ! substructure dislocation density real(8),intent(in) :: rhosub ! ! increase in tauc due to solute force real(8),intent(in) :: tausolute ! ! increase in tauc due to loop defects real(8),intent(in) :: loop(maxnloop) ! ! hardeningmodel integer,intent(in) :: hardeningmodel ! ! hardening model parameters real(8),intent(in) :: hardeningparam(maxnparam) ! ! activate irradiation effect integer,intent(in) :: irradiationmodel ! ! irradiation model parameters real(8),intent(in) :: irradiationparam(maxnparam) ! ! current temperature real(8),intent(in) :: temperature ! ! critical resolved shear stress of slip systems real(8),intent(out) :: tauc(nslip) ! ! variables used in this subroutine integer :: is, il, nloop real(8) :: Ploop(nslip) ! ! Subtructure density real(8) :: tausub(nslip) ! Substructure factor real(8) :: ksub ! ! Precipitate strengthening parameters ! Strength factor / geometric factor real(8) :: gfp ! Number density of precipitates [1/mm^3] real(8) :: rhop ! Particle diameter [mm] real(8) :: Dp ! ! ! Reset the density of loops Ploop = 0. ! ! Reset Substructure density tausub = 0. ! ! ! Reset Precipitate strength if (hardeningmodel==5) then ! Precipitate strength parameters gfp=hardeningparam(5) rhop=hardeningparam(6) Dp=hardeningparam(7) else gfp=0.; rhop=0.; Dp=0. end if ! ! ! ! If irradiation model-2 is set ON ! Compute the strength contribution if (irradiationmodel==2) then ! ! Number of defects nloop = int(irradiationparam(1)) ! do is = 1, nslip ! ! do il = 1, 3 ! Ploop(is) = Ploop(is) + + sintmat2(is,il)**2. * loop(il) ! end do ! end do ! ! ! end if ! ! ! ! ! ! ! ! Check crystal type ! Only for alpha-uranium there is an exception ! ! ! ! Defined by data fitting ! as a function of rhofor, rhosub, and temperature if (iphase == 4) then ! ! alpha-uranium model with forest and substructure dislocations ! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tome ! Deformation of wrought uranium: experiments and modeling ! Acta Materialia 58 (2010) 5447–5459 tauc(1) = tauc0(1) + 19.066 * dsqrt(rhofor(1)) + + 1.8218 * dsqrt(rhosub) * + log(1. / burgerv(1) / dsqrt(rhosub)) tauc(2) = tauc0(2) + 18.832 * dsqrt(rhofor(2)) + + 1.7995 * dsqrt(rhosub) * + log(1. / burgerv(2) / dsqrt(rhosub)) tauc(3) = tauc0(3) + 54.052 * dsqrt(rhofor(3)) + + 5.1650 * dsqrt(rhosub) * + log(1. / burgerv(3) / dsqrt(rhosub)) tauc(4) = tauc0(4) + 54.052 * dsqrt(rhofor(4)) + + 5.1650 * dsqrt(rhosub) * + log(1. / burgerv(4) / dsqrt(rhosub)) tauc(5) = tauc0(5) + 123.357 * dsqrt(rhofor(5)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(5) / dsqrt(rhosub)) tauc(6) = tauc0(6) + 123.357 * dsqrt(rhofor(6)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(6) / dsqrt(rhosub)) tauc(7) = tauc0(7) + 123.357 * dsqrt(rhofor(7)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(7) / dsqrt(rhosub)) tauc(8) = tauc0(8) + 123.357 * dsqrt(rhofor(8)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(8) / dsqrt(rhosub)) ! ! zecevic 2016 temperature dependence tauc(1) = tauc(1) * dexp(-(temperature-293.0)/140.0) tauc(2) = tauc(2) * dexp(-(temperature-293.0)/140.0) tauc(3) = tauc(3) * dexp(-(temperature-293.0)/140.0) tauc(4) = tauc(4) * dexp(-(temperature-293.0)/140.0) tauc(5) = tauc(5) * dexp(-(temperature-293.0)/140.0) tauc(6) = tauc(6) * dexp(-(temperature-293.0)/140.0) tauc(7) = tauc(7) * dexp(-(temperature-293.0)/140.0) tauc(8) = tauc(8) * dexp(-(temperature-293.0)/140.0) ! ! daniel, lesage, 1971 minimum value as minima tauc(1) = max(tauc(1),4.0) tauc(2) = max(tauc(2),4.0) tauc(3) = max(tauc(3),4.0) tauc(4) = max(tauc(4),4.0) tauc(5) = max(tauc(5),4.0) tauc(6) = max(tauc(6),4.0) tauc(7) = max(tauc(7),4.0) tauc(8) = max(tauc(8),4.0) ! ! ! ! For any other phase ! Use forest/total dislocation spacing to determine the strength ! else ! ! Substructure density if (hardeningmodel==4) then ! do is = 1, nslip ksub = hardeningparam(9) tausub(is) = ksub*G12*burgerv(is)* + dsqrt(rhosub) *dlog(1./burgerv(is)/dsqrt(rhosub)) end do ! end if ! ! if (useaveragestatevars == 0) then ! do is = 1, nslip ! ! !! Taylor strength - total density / backstress ! tauc(is) = tauc0(is) + ! + G12*burgerv(is)*dsqrt(gf**2.*rhotot(is) + Ploop(is)) ! ! ! Taylor strength - forest spacing / cut-through tauc(is) = tauc0(is) + + G12*burgerv(is)*dsqrt(gf**2.*rhofor(is) + + Ploop(is) + gfp**2.*rhop*Dp) ! ! ! Add the effect of substructure density tauc(is) = tauc(is) + tausub(is) ! end do ! ! ! elseif (useaveragestatevars == 1) then ! ! do is = 1, nslip ! ! Taylor strength - total density tauc(is) = tauc0(is) + + G12*burgerv(is)*dsqrt(gf**2.*sumrhotot + + Ploop(is) + gfp**2.*rhop*Dp) ! ! !! Taylor strength - total density ! tauc(is) = tauc0(is)*(1.-X) + ! + G12*burgerv(is)*dsqrt(X*tauc0(is)/G12/burgerv(is) + ! + gf**2.*rhotot + Ploop(is)) ! ! ! Add the effect of substructure density tauc(is) = tauc(is) + tausub(is) ! end do ! endif ! ! ! ! ! ! ! end if ! check crystal type ! ! ! ! Effect of irradiation ! True for all crystal types if (irradiationmodel == 1) then tauc = tauc + tausolute end if ! ! ! return ! end subroutine slipresistance ! ! ! ! Calculates the total and forest density ! from SSD and GND densities using summation ! and forest projections subroutine totalandforest(iphase, nscrew, nslip, + gnd, ssd, ssdtot, forest, forestproj, slip2screw, + rhotot, sumrhotot, rhofor) use utilities, only : vecprod implicit none integer, intent(in) :: iphase integer, intent(in) :: nscrew integer, intent(in) :: nslip real(8), intent(in) :: gnd(nslip+nscrew) real(8), intent(in) :: ssd(nslip) real(8), intent(in) :: ssdtot real(8), intent(in) :: forest(nslip) real(8), intent(in) :: forestproj(nslip,nslip+nscrew) real(8), intent(in) :: slip2screw(nscrew,nslip) real(8), intent(out) :: rhotot(nslip) real(8), intent(out) :: sumrhotot real(8), intent(out) :: rhofor(nslip) ! ! local variables ! real(8) vec(3) integer i, j ! ! ! ! ! ! Compute forest density ! Add gnd and sdd contributions (if exist) ! Forest projections rhofor = forest + matmul(forestproj, abs(gnd)) + + matmul(forestproj(1:nslip,1:nslip), ssd) + ! edges + matmul(forestproj(1:nslip,nslip+1:nslip+nscrew), + matmul(slip2screw,ssd)) ! screws ! ! rhotot = ssd + + abs(gnd(1:nslip)) + ! edges + matmul(transpose(slip2screw), abs(gnd(nslip+1:nslip+nscrew))) ! screws ! ! ! ! Scalar sum sumrhotot = sqrt(sum(gnd*gnd)) + ssdtot ! ! return end subroutine totalandforest ! end module crss ================================================ FILE: Example - Polycrytal with PROPS/errors.f ================================================ ! Sept. 26th, 2022 ! Eralp Demir ! ! This is written point the user to the sources of errors ! module errors implicit none ! contains ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine error(errorid) implicit none ! ! ! integer :: errorid ! ! ! Message only when exiting the subroutine ! if(errorid.eq.1) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-001: Material-ID is out of range (1-9). + Pls. check materials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.2) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-002: Element type is not defined! + Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.3) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-003: "cubicslip" integer parameter is not + properly defined. Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.4) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-004: phase id of the material is not + within the possible limits!. Pls. check PROPS variable!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.5) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-005: "temperatureflag" is not + within the possible limits. Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.6) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-006: "NSTATV" is less than the + defined outputs. + Pls. check DEPVAR in ABAQUS!' write(*,*) 'Exiting!' write(*,*) '*******************************************' else if (errorid.eq.7) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-007: GND calculation is not possible + for the selected element type. + Pls. change the element type in ABAQUS!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.8) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-008: Zero activation volume! + Pls. check the slip parameters and make sure that the + initial dislocation density has non-zero value + in usermaterials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.9) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-009: Could not read the element type + and the total number of elements from *.INP file. + Pls. check the file name in usermaterials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' else if (errorid.eq.10) then ! write(*,*) '*******************ERROR*******************' ! write(*,*) 'ERROR-010: "Bmat" for L2 method ! + is not invertible. ! + GND model will give zero GND densities!.' ! write(*,*) '*******************************************' else if (errorid.eq.11) then ! write(*,*) '******************WARNING******************' ! write(*,*) 'ERROR-006: WARNING DFGRD1 = NaN!' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '*******************************************' else if (errorid.eq.12) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-012: Lp iteration did not converge' ! write(*,*) 'Using forward-gradient Euler predictor' ! write(*,*) '**********************************************' else if (errorid.eq.13) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-013: singular matrix in Lp iteration' ! write(*,*) 'Will continue if alternate solution exists!' ! write(*,*) '**********************************************' else if (errorid.eq.14) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-014: forward-gradient Euler predictor ! + did not converge or it does not exist' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.15) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-015: tmat array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.16) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-016: NR scheme reached maximum number of ! + iterations' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.17) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-017: stress array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.18) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-018: jacobian array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.19) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-019: det(Fp) is close to zero' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.20) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-020: det(Fe) is close to zero' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.21) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-021: state variables become negative' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.22) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-022: inversion in predictor did not work' ! write(*,*) '' ! write(*,*) '**********************************************' else write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-???: Unknown error!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit end if ! ! return end subroutine error ! ! ! end module errors ================================================ FILE: Example - Polycrytal with PROPS/globalvariables.f ================================================ ! Sept. 20th, 2022 ! Eralp Demir ! University of Oxford ! ! Global variables used within the code module globalvariables implicit none ! ! ! ! MATERIAL-LINKED GLOBAL VARIABLES ! ------------------------------------------------------------------------------- ! Global variable for Euler angles real(8), allocatable, public :: Euler(:,:) ! Global variable storing grain id ! Different grains can be present in the mesh integer, allocatable, public :: featureid(:,:) ! ! Global variable storing material id integer, allocatable, public :: materialid(:,:) ! ! Different phases can be present in the mesh integer, allocatable, public :: phaseid(:,:) ! ! ! ! Global variable storing phase-id ! This refers to the crystal structure ! Different phases can be present in the mesh integer, allocatable, public :: phaseid_all(:) ! ! Global variable for number of slip systems ! Number of slip systems could be different for each ip integer, allocatable, public :: numslip_all(:) ! ! Global variable for number of slip systems ! Required for GND calculations ! Number of slip systems could be different for each ip integer, allocatable, public :: numscrew_all(:) ! ! Slip model identifier ! 0: no slip (if only creep is considered) ! 1: sinh law ! 2: double exponent law ! 3: power law integer, allocatable, public :: slipmodel_all(:) ! ! Slip parameters ! Array size adjustable real(8), allocatable, public :: slipparam_all(:,:) ! For sinh law (slipmodel=1) ! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined, ! the alpha calculation will be ignored ! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined, ! the beta calculation will be ignored ! 3: psi / fraction of mobile dislocations / [-] / alpha calculation ! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation ! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation ! 6: nu0 / attempt frequency / [1/s] / alpha calculation ! 7: gamma0 / reference slip strain / [-] / beta calculation ! ! For double exponent law (slipmodel=2) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: p / inner exponent / [-] ! 3: q / outer exponent / [-] ! 4: DeltaFoct / activation energy for octahedral slip / [J/mol] ! 5: DeltaFcub / activation energy for cubic slip / [J/mol] ! ! For power law (slipmodel=3) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: n / power exponent / [-] ! ! ! Creep model identifier ! 0: no creep ! 1: sinh slip strain ! 2: exponential slip strain ! 3: power law slip strain ! 4: sinh slip strain + climb strain ! Default value is set to 0 integer, allocatable, public :: creepmodel_all(:) ! Creep parameters ! Array size adjustable real(8), allocatable, public :: creepparam_all(:,:) ! ! Hardening identifier ! 0: Hardening is off (tauc constant) ! 1: Kocks-Mecking hardening ! 2: Voce type hardening ! Default value is set to 0 integer, allocatable, public :: hardeningmodel_all(:) ! Hardening parameters ! Array size adjustable real(8), allocatable, public :: hardeningparam_all(:,:) ! ! Irradiation identifier ! 0: Irradiaion is off ! 1: Irradiation is on ! Default value is set to 0 integer, allocatable, public :: irradiationmodel_all(:) ! Irradiation model parameters ! Array size adjustable real(8), allocatable, public :: irradiationparam_all(:,:) ! 1: tau_s0: initial solute strength ! 2: gamma_s: saturation value of the cumulative slip ! 3: psi / fraction of mobile density for irradiated material for sinh law ! ! ! Backstress model parameters ! Array size adjustable (maxnmaterial, maxnparam) real(8), allocatable, public :: backstressparam_all(:,:) ! ! The following variables are stored for every element and ip ! INITALLY - only once at the beginning ! This is done for the following reasons ! 1. In order to reduce computation time ! 2. Various materials can be present in the mesh ! ! Global variable for caratio real(8), allocatable, public :: caratio_all(:) ! ! Global variable for cubicslip integer, allocatable, public :: cubicslip_all(:) ! ! Global variable for elasticity in crystal reference real(8), allocatable, public :: Cc_all(:,:,:) ! ! Global variable for geometric factor in Taylor equation real(8), allocatable, public :: gf_all(:) ! ! Global variable for shear modulus real(8), allocatable, public :: G12_all(:) ! ! Global variable for Poisson's ratio real(8), allocatable, public :: v12_all(:) ! ! Global variable for thermal expansion matrix real(8), allocatable, public :: alphamat_all(:,:,:) ! ! Global variable for Burgers vector real(8), allocatable, public :: burgerv_all(:,:) ! ! ! INTERACTION MATRICES ! Global variables for dislocation strength interaction matrix real(8), allocatable, public :: sintmat1_all(:,:,:) ! ! Global variable for dislocation irradiation loop strength interaction matrix real(8), allocatable, public :: sintmat2_all(:,:,:) ! ! Global variable for latent hardening interaction real(8), allocatable, public :: hintmat1_all(:,:,:) ! ! Global variable for dislocation hardening interaction real(8), allocatable, public :: hintmat2_all(:,:,:) ! ! Screw systems integer, allocatable, public :: screw_all(:,:) ! ! ! ! ------------------------------------------------------------------------------- ! ! ! ! ! TIME (SOLUTION) DEPENDENT GLOBAL VARIABLES ! ------------------------------------------------------------------------------- ! time at former time step real(8), public :: time_old ! ! time increment at former time step real(8), public :: dt_t ! ! Global initialization flag for elemental initialization ! Orientation assigment ! Initial slip direction calculations ! Global coordinates integer, allocatable, public :: initialized_firstinc(:,:) ! ! ! Global initialization flag for IP initialization integer, allocatable, public :: ip_init(:,:) ! ! Global one-time initialization flag integer, public :: init_once ! ! Global one-time initialization flag integer, public :: grad_init ! ! Global flag for IP count (10m elements, 100 ips) integer, allocatable, public :: ip_count(:,:) ! ! Crystal orientation at current time step real(8), allocatable, public :: statev_gmatinv(:,:,:,:) ! Crystal orientation at former time step real(8), allocatable, public :: statev_gmatinv_t(:,:,:,:) ! Crystal orientation initially real(8), allocatable, public :: statev_gmatinv_0(:,:,:,:) ! ! Total cumulative Von-Mises equivalent plastic strain at current time step real(8), allocatable, public :: statev_evmp(:,:) ! Total cumulative Von-Mises equivalent plastic strain at former time step real(8), allocatable, public :: statev_evmp_t(:,:) ! ! Plastic dissipation power density at current time step real(8), allocatable, public :: statev_plasdiss(:,:) ! Plastic dissipation power density at former time step real(8), allocatable, public :: statev_plasdiss_t(:,:) ! ! Effective critical resolved shear stress at current time step real(8), allocatable, public :: statev_tauceff(:,:,:) ! ! ! Total cumulative slip at current time step real(8), allocatable, public :: statev_totgammasum(:,:) ! Total cumulative slip at former time step real(8), allocatable, public :: statev_totgammasum_t(:,:) ! ! Cumulative slip at current time step real(8), allocatable, public :: statev_gammasum(:,:,:) ! Cumulative slip at former time step real(8), allocatable, public :: statev_gammasum_t(:,:,:) ! ! Slip rates at current time step real(8), allocatable, public :: statev_gammadot(:,:,:) ! Slip rates at former time step real(8), allocatable, public :: statev_gammadot_t(:,:,:) ! ! ! Plastic part of the deformation gradient at current time step real(8), allocatable, public :: statev_Fp(:,:,:,:) ! Plastic part of the deformation gradient at former time step real(8), allocatable, public :: statev_Fp_t(:,:,:,:) ! ! ! Thermal part of the deformation gradient at current time step real(8), allocatable, public :: statev_Fth(:,:,:,:) ! Thermal part of the deformation gradient at former time step real(8), allocatable, public :: statev_Fth_t(:,:,:,:) ! ! ! Cauchy stress at current time step real(8), allocatable, public :: statev_sigma(:,:,:) ! Cauchy stress at former time step real(8), allocatable, public :: statev_sigma_t(:,:,:) ! Cauchy stress at previous time step real(8), allocatable, public :: statev_sigma_t2(:,:,:) ! ! Cauchy stress at current time step real(8), allocatable, public :: statev_jacobi(:,:,:,:) ! Cauchy stress at former time step real(8), allocatable, public :: statev_jacobi_t(:,:,:,:) ! ! ! Critical resolved shear stress at current time step real(8), allocatable, public :: statev_tauc(:,:,:) ! Critical resolved shear stress at former time step real(8), allocatable, public :: statev_tauc_t(:,:,:) ! ! maximum of the tau/tauc ratio at current time step real(8), allocatable, public :: statev_maxx(:,:) ! maximum of tau/tauc ratio at former time step real(8), allocatable, public :: statev_maxx_t(:,:) ! ! elastic strains at the crystal ref. at current time step real(8), allocatable, public :: statev_Eec(:,:,:) ! elastic strains at the crystal ref. at former time step real(8), allocatable, public :: statev_Eec_t(:,:,:) ! ! Lattice curvature at current time step real(8), allocatable, public :: statev_curvature(:,:,:) ! ! Incompatibility at current time step real(8), allocatable, public :: statev_Lambda(:,:,:) ! Incompatibility at former time step real(8), allocatable, public :: statev_Lambda_t(:,:,:) ! ! GND density per slip system at current time step real(8), allocatable, public :: statev_gnd(:,:,:) ! GND density per slip system at former time step real(8), allocatable, public :: statev_gnd_t(:,:,:) ! GND density per slip system initially - EBSD import real(8), allocatable, public :: statev_gnd_0(:,:,:) ! ! SSD density per slip system at current time step real(8), allocatable, public :: statev_ssd(:,:,:) ! SSD density per slip system at former time step real(8), allocatable, public :: statev_ssd_t(:,:,:) ! ! Total SSD density at current time step real(8), allocatable, public :: statev_ssdtot(:,:) ! Total SSD density at former time step real(8), allocatable, public :: statev_ssdtot_t(:,:) ! ! Forest dislocation density per slip system at current time step real(8), allocatable, public :: statev_forest(:,:,:) ! Forest dislocation density per slip system at former time step real(8), allocatable, public :: statev_forest_t(:,:,:) ! ! Substructure dislocation density for irradiation per slip system at current time step real(8), allocatable, public :: statev_substructure(:,:) ! Substructure dislocation density for irradiation per slip system at former time step real(8), allocatable, public :: statev_substructure_t(:,:) ! ! Solute strength for irradiation per slip system at current time step real(8), allocatable, public :: statev_tausolute(:,:) ! Solute strength for irradiation per slip system at former time step real(8), allocatable, public :: statev_tausolute_t(:,:) ! ! ! Defect loop density for irradiation per slip system at current time step real(8), allocatable, public :: statev_loop(:,:,:) ! Defect loop for irradiation per slip system at former time step real(8), allocatable, public :: statev_loop_t(:,:,:) ! ! Backstress per slip system at current time step real(8), allocatable, public :: statev_backstress(:,:,:) ! Backstress per slip system at former time step real(8), allocatable, public :: statev_backstress_t(:,:,:) ! ! ------------------------------------------------------------------------------- ! ! ! ! MESH INPUTS ! ------------------------------------------------------------------------------- ! ! Total number of elements in the mesh ! Adaptive mesh cannot be used! integer, public :: numel ! ! Element type ! Single element type is possible throughout the mesh ! Please do not leave any spaces between the characters ! Use the element types defined in ABAQUS element library ! Please see meshprop.f for the list of available element types character(len=:), allocatable, public :: eltyp ! ! ! Number of integration points per element integer, public :: numpt ! ! Number of nodes per element integer, public :: nnpel ! ! ! Dimensions of the problem: ! Tensor dimensions in UMAT integer, public :: numtens ! ! 2: 2D / 3: 3D integer, public :: numdim ! ! ! ------------------------------------------------------------------------------- ! ! ! ! ------------------------------------------------------------------------------- ! ! GLOBAL VARIABLES FOR NON-LOCAL CALCULATIONS ! ------------------------------------------------------------------------------- ! These variables will be assigned at the initialization ! A single type of element is assumed throughout the mesh ! ! integration point domain (area/volume) real(8), allocatable, public :: ipdomain(:,:) ! ! integration point weights real(8), allocatable, public :: ipweights(:) ! ! Global integration point coordinates real(8), allocatable, public :: ipcoords(:,:,:) ! ! Element specific shape functions and mappings ! Dependent on element type ! ! Gradient map for elements real(8), allocatable, public :: gradip2ip(:,:,:,:) ! ! Interpolation matrix real(8), allocatable, public :: Nmat(:,:) ! ! Inverse of interpolation matrix real(8), allocatable, public :: invNmat(:,:) ! ! Shape function derivatives real(8), allocatable, public :: dNmat(:,:,:) ! ! Shape function derivatives at element center real(8), allocatable, public :: dNmatc(:,:) ! ! Element having a single IP integer, public :: calculategradient ! ! ------------------------------------------------------------------------------- ! ! ! ! ! CONSTANTS ! ------------------------------------------------------------------------------- ! ! Number pi real(8), parameter, public :: pi = 3.14159265359 ! ! Taylor factor for a polycrytal aggregate real(8), parameter, public :: TF = 3.1 ! ! Universal gas contant [J/mol/K] real(8), parameter, public :: Rgas = 8.31432 ! ! Boltzman contant [m2 kg s-2 K-1 ] real(8), parameter, public :: KB = 1.380649d-23 ! ! Small real number real(8), parameter, public :: smallnum = 1.0d-20 ! ! Large real number real(8), parameter, public :: largenum = 1.0d+50 ! ------------------------------------------------------------------------------- ! ! ! ! ! IDENTITY TENSORS ! ------------------------------------------------------------------------------- ! ! Identity matrix (3x3) real(8), public :: I3(3,3) ! ! Identity matrix (6x6) real(8), public :: I6(6,6) ! ! Identity matrix (9x9) real(8), public :: I9(9,9) ! ! Permutation symbol (3,3,3) real(8), public :: eijk(3,3,3) ! ! ! SLIP DIRECTIONS ! ------------------------------------------------------------------------------- ! ! ! Global variable for slip directions ! Slip direction can be different for each material real(8), allocatable, public :: dirc_0_all(:,:,:) ! ! Global variable for slip plane normal ! Slip plane normal can be different for each material real(8), allocatable, public :: norc_0_all(:,:,:) ! ! Global variable for transverse direction ! Transverse direction can be different for each material real(8), allocatable, public :: trac_0_all(:,:,:) ! ! Global variable for line direction ! Line direction can be different for each material real(8), allocatable, public :: linc_0_all(:,:,:) ! ! Global variable for initial Schmid tensor at the sample referencec ! Schmid tensor can be different for each material real(8), allocatable, public :: Schmid_0_all(:,:,:,:) ! ! Global variable for forest projections ! Forest projection for GND and SSD ! Can be different for each material real(8), allocatable, public :: forestproj_all(:,:,:) ! ! Global variable to map screw dislocations from the corespondent slip systems ! This is needed for gndmodels 4/5/6 where screw dislocations are computed at each system ! Therefore, need to account for only the defined set of screw systems ! Can be different for each material real(8), allocatable, public :: slip2screw_all(:,:,:) ! ! ! ! BCC slip directions real(8), public :: dir1(48,3) ! <111> {110} slip family data dir1(1,:) /-1., 1., 1. / data dir1(2,:) / 1., -1., 1. / data dir1(3,:) / 1., 1., 1. / data dir1(4,:) / 1., -1., 1. / data dir1(5,:) / 1., 1., 1. / data dir1(6,:) / 1., 1., -1. / data dir1(7,:) / 1., 1., 1. / data dir1(8,:) /-1., 1., 1. / data dir1(9,:) / 1., -1., 1. / data dir1(10,:) /1., 1., -1. / data dir1(11,:) /-1., 1., 1. / data dir1(12,:) / 1., 1., -1. / ! <111> {112} slip family data dir1(13,:) / 1., 1., -1. / data dir1(14,:) / 1., -1., 1. / data dir1(15,:) /-1., 1., 1. / data dir1(16,:) / 1., 1., 1. / data dir1(17,:) / 1., -1., 1. / data dir1(18,:) / 1., 1., -1. / data dir1(19,:) / 1., 1., 1. / data dir1(20,:) /-1., 1., 1. / data dir1(21,:) /-1., 1., 1. / data dir1(22,:) / 1., 1., 1. / data dir1(23,:) / 1., 1., -1. / data dir1(24,:) / 1., -1., 1. / ! <111> {123} slip family data dir1(25,:) / 1., 1., -1. / data dir1(26,:) / 1., -1., 1. / data dir1(27,:) /-1., 1., 1. / data dir1(28,:) / 1., 1., 1. / data dir1(29,:) / 1., -1., 1. / data dir1(30,:) / 1., 1., -1. / data dir1(31,:) / 1., 1., 1. / data dir1(32,:) /-1., 1., 1. / data dir1(33,:) / 1., 1., -1. / data dir1(34,:) / 1., -1., 1. / data dir1(35,:) /-1., 1., 1. / data dir1(36,:) / 1., 1., 1. / data dir1(37,:) / 1., -1., 1. / data dir1(38,:) / 1., 1., -1. / data dir1(39,:) / 1., 1., 1. / data dir1(40,:) /-1., 1., 1. / data dir1(41,:) /-1., 1., 1. / data dir1(42,:) / 1., 1., 1. / data dir1(43,:) / 1., 1., -1. / data dir1(44,:) / 1., -1., 1. / data dir1(45,:) /-1., 1., 1. / data dir1(46,:) / 1., 1., 1. / data dir1(47,:) / 1., 1., -1. / data dir1(48,:) / 1., -1., 1. / ! ! ! BCC slip plane normals real(8), public :: nor1(48,3) ! <111> {110} slip family data nor1(1,:) / 1., 1., 0. / data nor1(2,:) / 1., 1., 0. / data nor1(3,:) /-1., 0., 1. / data nor1(4,:) /-1., 0., 1. / data nor1(5,:) /-1., 1., 0. / data nor1(6,:) /-1., 1., 0. / data nor1(7,:) / 0., 1., -1. / data nor1(8,:) / 0., 1., -1. / data nor1(9,:) / 0., 1., 1. / data nor1(10,:) / 0., 1., 1. / data nor1(11,:) / 1., 0., 1. / data nor1(12,:) / 1., 0., 1. / ! <111> {112} slip family data nor1(13,:) / 1., 1., 2. / data nor1(14,:) /-1., 1., 2. / data nor1(15,:) / 1., -1., 2. / data nor1(16,:) / 1., 1., -2. / data nor1(17,:) / 1., 2., 1. / data nor1(18,:) /-1., 2., 1. / data nor1(19,:) / 1., -2., 1. / data nor1(20,:) / 1., 2., -1. / data nor1(21,:) / 2., 1., 1. / data nor1(22,:) /-2., 1., 1. / data nor1(23,:) / 2., -1., 1. / data nor1(24,:) / 2., 1., -1. / ! <111> {123} slip family data nor1(25,:) / 1., 2., 3. / data nor1(26,:) / -1., 2., 3. / data nor1(27,:) / 1., -2., 3. / data nor1(28,:) / 1., 2., -3. / data nor1(29,:) / 1., 3., 2. / data nor1(30,:) / -1., 3., 2. / data nor1(31,:) / 1., -3., 2. / data nor1(32,:) / 1., 3., -2. / data nor1(33,:) / 2., 1., 3. / data nor1(34,:) / -2., 1., 3. / data nor1(35,:) / 2., -1., 3. / data nor1(36,:) / 2., 1., -3. / data nor1(37,:) / 2., 3., 1. / data nor1(38,:) / -2., 3., 1. / data nor1(39,:) / 2., -3., 1. / data nor1(40,:) / 2., 3., -1. / data nor1(41,:) / 3., 1., 2. / data nor1(42,:) / -3., 1., 2. / data nor1(43,:) / 3., -1., 2. / data nor1(44,:) / 3., 1., -2. / data nor1(45,:) / 3., 2., 1. / data nor1(46,:) / -3., 2., 1. / data nor1(47,:) / 3., -2., 1. / data nor1(48,:) / 3., 2., -1. / ! ! ! ! FCC slip directions real(8), public :: dir2(18,3) ! <110> {111} slip family data dir2(1,:) / 1., -1., 0. / data dir2(2,:) / 0., 1., -1. / data dir2(3,:) / 1., 0., -1. / data dir2(4,:) / 1., 1., 0. / data dir2(5,:) / 0., 1., -1. / data dir2(6,:) / 1., 0., 1. / data dir2(7,:) / 1., 1., 0. / data dir2(8,:) / 0., 1., 1. / data dir2(9,:) / 1., 0., -1. / data dir2(10,:) / 1., -1., 0. / data dir2(11,:) / 0., 1., 1. / data dir2(12,:) / 1., 0., 1. / ! <110> {100} cubic slip family data dir2(13,:) / 0., 1., 1. / data dir2(14,:) / 0., 1., -1. / data dir2(15,:) / 1., 0., 1. / data dir2(16,:) / 1., 0., -1. / data dir2(17,:) / 1., 1., 0. / data dir2(18,:) / 1., -1., 0. / ! ! ! FCC slip plane normals real(8), public :: nor2(18,3) ! <110> {111} slip family data nor2(1,:) / 1., 1., 1. / data nor2(2,:) / 1., 1., 1. / data nor2(3,:) / 1., 1., 1. / data nor2(4,:) /-1., 1., 1. / data nor2(5,:) /-1., 1., 1. / data nor2(6,:) /-1., 1., 1. / data nor2(7,:) / 1., -1., 1. / data nor2(8,:) / 1., -1., 1. / data nor2(9,:) / 1., -1., 1. / data nor2(10,:) / 1., 1., -1. / data nor2(11,:) / 1., 1., -1. / data nor2(12,:) / 1., 1., -1. / ! <110> {100} cubic slip family data nor2(13,:) / 1., 0., 0. / data nor2(14,:) / 1., 0., 0. / data nor2(15,:) / 0., 1., 0. / data nor2(16,:) / 0., 1., 0. / data nor2(17,:) / 0., 0., 1. / data nor2(18,:) / 0., 0., 1. / ! ! ! The directions are corrected by Alvaro 23.02.2023 ! HCP slip directions real(8), public :: dir3h(30,4) ! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio) data dir3h(1,:) / 2., -1., -1., 0./ data dir3h(2,:) /-1., 2., -1., 0./ data dir3h(3,:) /-1., -1., 2., 0./ ! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio) data dir3h(4,:) / 2., -1., -1., 0./ data dir3h(5,:) /-1., 2., -1., 0./ data dir3h(6,:) /-1., -1., 2., 0./ ! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data dir3h(7,:) /-1., 2., -1., 0./ data dir3h(8,:) /-2., 1., 1., 0./ data dir3h(9,:) /-1., -1., 2., 0./ data dir3h(10,:) / 1., -2., 1., 0./ data dir3h(11,:) / 2., -1., -1., 0./ data dir3h(12,:) / 1., 1., -2., 0./ ! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data dir3h(13,:) /-2., 1., 1., 3./ data dir3h(14,:) /-1., -1., 2., 3./ data dir3h(15,:) /-1., -1., 2., 3./ data dir3h(16,:) / 1., -2., 1., 3./ data dir3h(17,:) / 1., -2., 1., 3./ data dir3h(18,:) / 2., -1., -1., 3./ data dir3h(19,:) / 2., -1., -1., 3./ data dir3h(20,:) / 1., 1., -2., 3./ data dir3h(21,:) / 1., 1., -2., 3./ data dir3h(22,:) /-1., 2., -1., 3./ data dir3h(23,:) /-1., 2., -1., 3./ data dir3h(24,:) /-2., 1., 1., 3./ ! ! <11.3>{-1-1.2} / 2nd order pyramidal systems data dir3h(25,:) /-1., -1., 2., 3./ data dir3h(26,:) / 1., -2., 1., 3./ data dir3h(27,:) / 2., -1., -1., 3./ data dir3h(28,:) / 1., 1., -2., 3./ data dir3h(29,:) /-1., 2., -1., 3./ data dir3h(30,:) /-2., 1., 1., 3./ ! ! ! HCP slip plane normals real(8), public :: nor3h(30,4) ! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio) data nor3h(1,:) /0., 0., 0., 1./ data nor3h(2,:) /0., 0., 0., 1./ data nor3h(3,:) /0., 0., 0., 1./ ! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio) data nor3h(4,:) /0., 1., -1., 0./ data nor3h(5,:) /-1., 0., 1., 0./ data nor3h(6,:) /1., -1., 0., 0./ ! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data nor3h(7,:) /1., 0., -1., 1./ data nor3h(8,:) /0., 1., -1., 1./ data nor3h(9,:) /-1., 1., 0., 1./ data nor3h(10,:) /-1., 0., 1., 1./ data nor3h(11,:) /0., -1., 1., 1./ data nor3h(12,:) /1., -1., 0., 1./ ! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data nor3h(13,:) /1., 0., -1., 1./ data nor3h(14,:) /1., 0., -1., 1./ data nor3h(15,:) /0., 1., -1., 1./ data nor3h(16,:) /0., 1., -1., 1./ data nor3h(17,:) /-1., 1., 0., 1./ data nor3h(18,:) /-1., 1., 0., 1./ data nor3h(19,:) /-1., 0., 1., 1./ data nor3h(20,:) /-1., 0., 1., 1./ data nor3h(21,:) /0., -1., 1., 1./ data nor3h(22,:) /0., -1., 1., 1./ data nor3h(23,:) /1., -1., 0., 1./ data nor3h(24,:) /1., -1., 0., 1./ ! <11.3>{-1-1.2} / 2nd order pyramidal systems data nor3h(25,:) /1., 1., -2., 2./ data nor3h(26,:) /-1., 2., -1., 2./ data nor3h(27,:) /-2., 1., 1., 2./ data nor3h(28,:) /-1., -1., 2., 2./ data nor3h(29,:) /1., -2., 1., 2./ data nor3h(30,:) /2., -1., -1., 2./ ! ! ! Slip direction for alpha-Uranium ! see McCabe, Tome et al 2010 (Figure 2) real(8), public :: dir4(8,3) data dir4(1,:) /1.0, 0.0, 0.0/ data dir4(2,:) /1.0, 0.0, 0.0/ data dir4(3,:) /0.43731, -0.89931, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0) data dir4(4,:) /0.43731,0 .89931, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0) data dir4(5,:) /0.24074, -0.49507, 0.83483/ ! [1-12](021) -> [a,-b,2c](0,c,b/2) data dir4(6,:) /-0.24074, -0.49507, 0.83483/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2) data dir4(7,:) /0.24074, 0.49507, 0.83483/ ! [112](0-21) -> [a,b,2c](0,c,-b/2) data dir4(8,:) /0.24074, -0.49507, -0.83483/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2) ! ! ! Slip plane normals of alpha-Uranium ! see McCabe, Tome et al 2010 (Figure 2) real(8), public :: nor4(8,3) data nor4(1,:) /0.0, 1.0, 0.0/ data nor4(2,:) /0.0, 0.0, 1.0/ data nor4(3,:) /0.89931, 0.43731, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0) data nor4(4,:) /0.89931, -0.43731, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0) data nor4(5,:) /0.0, 0.86013, 0.51008/ ! [1-12](021) -> [a,-b,2c](0,c,b/2) data nor4(6,:) /0.0, 0.86013, 0.51008/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2) data nor4(7,:) /0.0, 0.86013, -0.51008/ ! [112](0-21) -> [a,b,2c](0,c,-b/2) data nor4(8,:) /0.0, 0.86013, -0.51008/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2) ! ! ! ! ! ------------------------------------------------------------------------------- ! end module globalvariables ================================================ FILE: Example - Polycrytal with PROPS/hardening.f ================================================ ! Oct. 03rd, 2022 ! Eralp Demir ! module hardening implicit none contains ! Since crss is computed considering the phase ! Hardening shall evolve the proper state variables ! ! ! ******************************************** ! ** HARDENING updates the state variables ** ! ** that determine mechanical hardening ** ! ******************************************** subroutine hardeningrules(iphase,nslip, + temperature,dt,G12,burgerv, + totgammasum,gammadot,pdot, + irradiationmodel,irradiationparam, + hardeningmodel,hardeningparam, + hintmat1,hintmat2,tauc,ssd, + loop, rhofor, rhotot, + rhosub, tausolute, + dtauc,drhotot,drhofor, + drhosub, dssd, dloop) use globalvariables, only : KB use userinputs, only: maxnparam, maxnloop implicit none ! ! INPUTS ! crystal type integer,intent(in) :: iphase ! ! number of slip systems integer,intent(in) :: nslip ! ! current temperature real(8),intent(in) :: temperature ! ! time increment real(8),intent(in) :: dt ! ! shear modulus real(8),intent(in) :: G12 ! ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! ! ! cumulative crystallographic slip at the current tiemstep ! needed for model with irradiation real(8),intent(in) :: totgammasum ! ! plastic shear rate on slip systems ! and absolute value real(8),intent(in) :: gammadot(nslip) ! ! Von-mises equivalent plastic strain rate real(8),intent(in) :: pdot ! ! irradiation effect integer,intent(in) :: irradiationmodel ! ! irradiation model parameters real(8),intent(in) :: irradiationparam(maxnparam) ! ! hardening model integer,intent(in) :: hardeningmodel ! ! hardening parameters real(8),intent(in) :: hardeningparam(maxnparam) ! ! Hardening interaction matrices ! Latent hardening real(8), intent(in) :: hintmat1(nslip,nslip) ! Hardening interaction matrix between dislocations real(8), intent(in) :: hintmat2(nslip,nslip) ! ! crss real(8),intent(in) :: tauc(nslip) ! ! ssd density real(8),intent(in) :: ssd(nslip) ! ! loop density real(8),intent(in) :: loop(maxnloop) ! ! forest density real(8),intent(in) :: rhofor(nslip) ! ! total density real(8),intent(in) :: rhotot(nslip) ! ! substructure density real(8),intent(in) :: rhosub ! ! ! ! OUTPUTS ! increase in tauc due to solute force real(8),intent(out) :: tausolute ! ! crss increment real(8),intent(out) :: dtauc(nslip) ! ! ! ! ! total ssd density increment real(8),intent(out) :: drhotot ! ! forest dislocation density increment real(8),intent(out) :: drhofor(nslip) ! ! substructure dislocation density increment real(8),intent(out) :: drhosub ! ! ssd density increment real(8),intent(out) :: dssd(nslip) ! ! loop density increment real(8),intent(out) :: dloop(maxnloop) ! ! ! ! ! ! ! Variables used within this subroutine ! absolute value of the plastic shear rate on slip systems real(8), dimension(nslip) :: absgammadot ! Parameters for irradiation hardening real(8) :: taus0, gammasat, gamma ! Parameters for irradiation model = 2 integer :: nloop ! Parameters for Voce typ hardening model real(8) :: h0, ss, m, q, hb(nslip), Hab(nslip,nslip) ! Parameter for linear hardening model real(8) :: k ! Parameters for Kocks-Mecking hardening model real(8) :: k1, b, X, g, D, pdot0, k2, KBT ! Parameters for hardening model - 5 (KM) real(8) :: q1, q2, tot ! Additional parameters for substructure hardening real(8) :: f ! integer :: is, js, i, j integer :: il ! ! ! Set outputs zero initially dtauc = 0. dssd = 0. drhofor = 0. drhosub = 0. drhotot = 0. tausolute = 0. dloop = 0. ! ! ! ! absolute value of slip rates absgammadot = dabs(gammadot) ! ! ! ! Irradiation hardening ! ========================================================================= ! ! ! update solute force if (irradiationmodel == 1) then ! ! Prefactor in irradiation hardening taus0 = irradiationparam(1) ! ! Saturation strain gammasat = irradiationparam(2) ! ! Solute strength tausolute = taus0*dexp(-totgammasum/gammasat) ! end if ! ! ! ! update loop density if (irradiationmodel == 2) then ! ! Number of type of the loop defects nloop = int(irradiationparam(1)) ! ! Compute the evolution (annihiliation) do il = 1, nloop ! ! do is = 1, nslip ! dloop(il) = dloop(il) - hintmat2(il,is) * + sqrt(loop(il)) / burgerv(is) * absgammadot(is) * dt ! ! ! ! ! end do ! ! end do ! ! ! end if ! ! ! ! ========================================================================= ! ! ! ! Other strainhardening models ! No hardening if (hardeningmodel==0) then ! ! Do not harden! ! ! elseif (hardeningmodel==1) then ! ! read in the parameters h0 = hardeningparam(1) ss = hardeningparam(2) m = hardeningparam(3) q = hardeningparam(4) ! ! ! ! Construct the latent hardening matrix ! Note that this is a matrix different than latent hardening Hab = hintmat1 ! hb=0. do is = 1,nslip ! hb(is) = h0*(1.-tauc(is)/ss)**m* + absgammadot(is)*dt ! ! ! ! ! end do ! dtauc = matmul(Hab,hb) ! ! ! linear hardening model elseif (hardeningmodel==2) then ! ! read in the parameters k = hardeningparam(1) ! ! ! total density drhotot = k*pdot*dt ! ! SSD evolution do is = 1, nslip ! dssd(is) = k*absgammadot(is)*dt ! end do ! ! ! ! Kocks-Mecking hardening elseif (hardeningmodel==3) then ! ! input parameters k1 = hardeningparam(1) X = hardeningparam(3) g = hardeningparam(4) D = hardeningparam(5) pdot0 = hardeningparam(6) ! ! KBT = KB*temperature ! ! ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! Parametrically calculate softening factor if (hardeningparam(2)==0.) then k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0)) else k2 = hardeningparam(2) end if ! ! dssd(is) = (k1/b*dsqrt(rhofor(is))-k2*ssd(is))* + absgammadot(is)*dt ! ! ! end do ! drhotot = sum(dssd) ! ! Kocks-Mecking hardening with substructure evolution ! Reference: https://doi.org/10.1016/j.actamat.2010.06.021 ! elseif (hardeningmodel==4) then ! ! ! ! ! ! ! ! ! ! ! for alpha-uranium material parameters are built in if (iphase == 4) then ! ! ! ! forest dislocations evolution ! using constants from calibration of tensile bar 3 ! using twin-slip interaction model drhofor(1) = 43.2*max(dsqrt(rhofor(1))- + (0.17100+2.6093e-03*temperature) + *rhofor(1),0.0)*absgammadot(1)*dt drhofor(2) = 6320.0*max(dsqrt(rhofor(2))- + (0.25650+5.8708e-04*temperature) + *rhofor(2),0.0)*absgammadot(2)*dt drhofor(3) = 0.24*max(dsqrt(rhofor(3))- + (0.11718+1.9289e-04*temperature) + *rhofor(3),0.0)*absgammadot(3)*dt drhofor(4) = 0.24*max(dsqrt(rhofor(4))- + (0.11718+1.9289e-04*temperature) + *rhofor(4),0.0)*absgammadot(4)*dt drhofor(5) = 800.0*max(dsqrt(rhofor(5))- + (0.12+1.5e-05*temperature) + *rhofor(5),0.0)*absgammadot(5)*dt drhofor(6) = 800.0*max(dsqrt(rhofor(6))- + (0.12+1.5e-05*temperature) + *rhofor(6),0.0)*absgammadot(6)*dt drhofor(7) = 800.0*max(dsqrt(rhofor(7))- + (0.12+1.5e-05*temperature) + *rhofor(7),0.0)*absgammadot(7)*dt drhofor(8) = 800.0*max(dsqrt(rhofor(8))- + (0.12+1.5e-05*temperature) + *rhofor(8),0.0)*absgammadot(8)*dt ! ! substructure dislocations evolution drhosub = 0.216*(17.545+0.26771*temperature)* + rhofor(1)*dsqrt(rhosub)*absgammadot(1)*dt ! ! If any other material else ! ! ! input parameters k1 = hardeningparam(1) X = hardeningparam(3) g = hardeningparam(4) D = hardeningparam(5) pdot0 = hardeningparam(6) q = hardeningparam(7) f = hardeningparam(8) ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! Parametrically calculate softening factor if (hardeningparam(2)==0.) then k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0)) else k2 = hardeningparam(2) end if ! drhofor(is)=(k1/b*dsqrt(rhofor(is))-k2*rhofor(is)) + *absgammadot(is)*dt ! drhosub = drhosub + b*q*f*dsqrt(rhosub)* + k2*rhofor(is)*absgammadot(is)*dt ! ! end do ! ! ! ! ! end if ! ! UKAEA - model ! Vikram Phalke ! Kocks-Mecking hardening - based on total density elseif (hardeningmodel==5) then ! ! input parameters k1 = hardeningparam(1) k2 = hardeningparam(2) q1 = hardeningparam(3) q2 = hardeningparam(4) ! ! ! interaction matrix Hab = hintmat1 ! ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! tot = 0. do js=1,nslip ! ! total density (rhottot) is used to include GND effects ! instead of just SSD density tot=tot + Hab(is,js)*rhotot(js) ! end do ! dssd(is) = + (k1/b*dsqrt(tot)-k2*ssd(is))* + absgammadot(is)*dt ! ! end do ! drhotot = sum(dssd) ! ! ! ! end if ! return ! end subroutine hardeningrules ! ! ! ! ! end module hardening ================================================ FILE: Example - Polycrytal with PROPS/initializations.f ================================================ ! Sept. 26th, 2022 ! Eralp Demir ! ! This module includes initialization scripts ! module initializations implicit none contains ! ! ! ! ! Subroutines that need to run once at the beginning of calculations subroutine initialize_once use meshprop, only : feprop use useroutputs, only: defineoutputs implicit none ! ! ! ! ! 1. Enter mesh/element properties ! to get number of integration points for array allocation call feprop write(*,*) '1. Mesh initialization completed!' ! ! 2. Allocate arrays call allocate_arrays write(*,*) '2. Array allocation completed!' ! ! 3. Initialize identity matrices call initialize_identity write(*,*) '3. Identity tensors initialized!' ! ! 4. Define outputs ! Based on the flag: "readfromprops = 0 / 1" ! Will be either read from PROPS or from useroutputs.f call defineoutputs write(*,*) '4. Outputs are defined using useroutputs.f!' ! ! ! 5. Read the input files if needed call readfiles write(*,*) '5. The necessary files were read!' ! ! return end subroutine initialize_once ! ! ! ! ! Subroutine to initialize global flags subroutine initialize_variables use userinputs, only: maxnumel, maxnumpt use globalvariables, only : time_old, + dt_t, calculategradient, numpt, numel, + ip_count, init_once, grad_init ! ! Use this instead of data statements time_old=0. dt_t=0. ! calculategradient=1 grad_init=0 ! ! Maximum number of elements and maximum number of integration points ! are defined in userinputs.f allocate(ip_count(maxnumel,maxnumpt)) ip_count=-1 ! ! Element number will be counted numpt=0 numel=0 ! ! flag for initialization once at the beginning init_once=0 ! return end subroutine initialize_variables ! ! ! ! ! ! Reading additional input files subroutine readfiles use userinputs, only: + voxfilename, foldername, readmaterialfile use globalvariables, only: numel, Euler integer :: iele real(8) :: dummy(8) ! ! ! Read vox file if requested if (readmaterialfile==1) then ! Open the file open(200,file=foldername // '/' // voxfilename,action='read', + status='old') ! ! ! Number of lines is the same as the number of elements do iele=1,numel ! dummy=0. read(100,*) dummy(1:8) ! ! Bunge angles in degrees Euler(iele,1) = dummy(1) Euler(iele,2) = dummy(2) Euler(iele,3) = dummy(3) ! ! ! end do ! ! End of reading vox file close(200) ! end if ! ! ADD HERE IF THERE ARE ADDITIONAL INPUT FILES!!! ! ! return end subroutine readfiles ! ! ! ! Subroutines that need to run once at the beginning of calculations subroutine initialize_atfirstinc(noel,npt,coords,nprops, + props,temp,nstatv) use userinputs, only: constanttemperature, temperature, + maxnslip, maxnparam, maxnmaterial, maxnloop, + backstressmodel, readmaterialfile use globalvariables, only: Euler, materialid, + featureid, phaseid, ipcoords, numdim, + statev_gmatinv, statev_gmatinv_t, ip_init, + numslip_all, numscrew_all, phaseid_all, + statev_tauc, statev_tauc_t, statev_gmatinv_0, + dirc_0_all, norc_0_all, + trac_0_all, linc_0_all, Schmid_0_all, + forestproj_all, slip2screw_all, screw_all, + statev_ssd, statev_ssd_t, + statev_ssdtot, statev_ssdtot_t, + statev_forest, statev_forest_t, + statev_substructure, statev_substructure_t, + statev_tausolute, statev_tausolute_t, + statev_loop, statev_loop_t, + statev_tauceff, + statev_gnd_0, + caratio_all, cubicslip_all, + Cc_all, gf_all, G12_all, v12_all, + alphamat_all, burgerv_all, + slipmodel_all, slipparam_all, + creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, + irradiationmodel_all, irradiationparam_all, + sintmat1_all, sintmat2_all, + hintmat1_all, hintmat2_all, + backstressparam_all ! use irradiation, only: calculateintmats4irradmodel2 use usermaterials, only: materialparam use utilities, only: rotord4sig use crss, only: slipresistance, totalandforest use useroutputs, only: checkoutputs, + statev_outputs, nstatv_outputs use errors, only: error implicit none ! Element number integer, intent(in) :: noel ! Integration point integer, intent(in) :: npt ! Number of properties integer, intent(in) :: nprops ! Ip coordinates real(8), intent(in) :: coords(3) ! State variables real(8), intent(in) :: props(nprops) ! Abaqus temperature real(8), intent(in) :: temp ! Number of state variables integer, intent(in) :: nstatv ! ! Internal variables ! Flag for reading from PROPS vector integer readfromprops ! Crystal to sample transformation matrix real(8) :: gmatinv(3,3) ! Phase id integer :: phaid ! Number of slip systems integer :: nslip ! Number of screw systems integer :: nscrew ! Material id integer :: matid ! Slip model integer :: slipmodel ! Slip parameters real(8) :: slipparam(maxnparam) ! Creep model integer :: creepmodel ! Creep parameters real(8) :: creepparam(maxnparam) ! Hardening model integer :: hardeningmodel ! Hardening parameters real(8) :: hardeningparam(maxnparam) ! Irradiation model integer :: irradiationmodel ! Irradiation parameters real(8) :: irradiationparam(maxnparam) ! Backstress parameters real(8) :: backstressparam(maxnparam) ! Cubic slip for fcc nickel superalloys only integer :: cubicslip ! Material temperature real(8) :: mattemp ! c/a ratio for hexagonal materials real(8) :: caratio ! Crystal elasticity matrix real(8) :: Cc(6,6) ! Geometric factor real(8) :: gf ! Shear modulus real(8) :: G12 ! Poisson's ratio real(8) :: v12 ! Thermal expansion coefficient matrix in crystal lattice real(8) :: alphamat(3,3) ! Burgers vector real(8) :: burgerv(maxnslip) ! Screw systems integer :: screw(maxnslip) ! Initial critical resolved shear stress real(8) :: tauc_0(maxnslip) ! Initial dislocation density (SSD) real(8) :: rho_0(maxnslip) ! Sum of the initial density (SSD) real(8) :: rhosum_0 ! Initial forest density (hardening model-4) real(8) :: forest_0, for_0(maxnslip) ! Initial substructure density (hardening model-4) real(8) :: substructure_0 ! Interaction matrices ! Strength interaction between dislocations real(8) :: sintmat1(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8) :: sintmat2(maxnslip,maxnslip) ! Latent hardening real(8) :: hintmat1(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8) :: hintmat2(maxnslip,maxnslip) ! Allocatable arrays ! Slip direction real(8) :: dirc(maxnslip,3) ! Slip plane normal real(8) :: norc(maxnslip,3) ! Transverse direction real(8) :: trac(maxnslip,3) ! Slip line direction real(8) :: linc(maxnslip*2,3) ! Forest projection operator real(8) :: forestproj(maxnslip,maxnslip*2) ! Slip to screw system mapping real(8) :: slip2screw(maxnslip,maxnslip) ! initial Schmid tensor real(8) :: Schmid_0(maxnslip,3,3) ! initial loop density real(8) :: loop_0(maxnloop) ! initial solute strength real(8) :: tausolute_0 ! initial GND density real(8) :: gnd_0(2*maxnslip) ! overall forest density real(8) :: rhofor_0(maxnslip) ! overall total density real(8) :: rhotot_0(maxnslip) ! overall cumulative density - scalar real(8) :: sumrhotot_0 ! Effective CRSS real(8) :: tauceff_0(maxnslip) ! Variables used in the calculations here within this subroutine ! Elasiticity real(8) :: C11, C12, C44, C13, C33 real(8) :: C23, C22, C55, C66 ! Thermal expansion real(8) :: alpha1, alpha2, alpha3 ! ! Dummy variables integer :: i, j, k, ind, is, nloop, dum integer :: i0, i1, i2 real(8) :: dir(3), nor(3) ! ! ! Reset arrays burgerv=0.; tauc_0=0.; rho_0=0.; forest_0=0.; substructure_0=0.; for_0=0. sintmat1=0.; sintmat2=0. hintmat1=0.; hintmat2=0. dirc=0.; norc=0.; trac=0.; linc=0. Schmid_0=0. forestproj=0.; slip2screw=0.; screw=0 slipparam=0.;creepparam=0. hardeningparam=0.; irradiationparam=0. backstressparam = 0. ! loop_0=0.; tausolute_0=0. rhofor_0=0.; rhotot_0=0. sumrhotot_0=0.; gnd_0=0. tauceff_0=0. ! ! ! ! Calculation for only once (require NSTATV) ! This is done here because NSTATV is available in UMAT ! Can't be done at UEXTERNALDB(LOP=0) if (ip_init(1,1) == 0) then ! ! Check the number state variables defined in DEPVAR ! matches the outputs defined by the user (in useroutputs.f or in PROPS) call checkoutputs(nstatv) ! end if ! ! ! ! ! ! Initialization flag ip_init(noel,npt) = 1 ! ! Read integration point coordinates ! Assign and store at a global variable ipcoords(noel,npt,1:numdim) = coords(1:numdim) ! ! Read from PROPS readfromprops = int(props(6)) ! ! Material id matid = int(props(5)) ! ! Save material id materialid(noel,npt)=matid ! ! Save grain id featureid(noel,npt) = int(props(4)) ! ! Euler angles are read from PROPS ! IF the variable in userinputs.f was set as: "readmaterialfile=0" ! No entry from material file was selected if (readmaterialfile==0) then ! ! Initialize the ginv from Euler angles ! phi1: 1st on the property list Euler(noel,1)=props(1) ! Phi: 2nd on the property list Euler(noel,2)=props(2) ! phi2: 3rd on the property list Euler(noel,3)=props(3) ! end if ! ! ! ! ! write(*,*) 'noel', noel ! write(*,*) 'npt', npt ! write(*,*) 'matid', matid ! write(*,*) 'Euler', Euler ! ! ! ! ! ! ! Calculate inverse of the orientation matrix call initialize_orientations(Euler(noel,1:3),gmatinv) ! ! Assign the initial orientations statev_gmatinv(noel,npt,:,:)=gmatinv statev_gmatinv_t(noel,npt,:,:)=gmatinv statev_gmatinv_0(noel,npt,:,:)=gmatinv ! ! ! ! ! ! Decision on using ABAQUS temperature if (constanttemperature.eq.1) then ! ! ! Assign mattemp = temperature ! else if (constanttemperature.eq.0) then ! ! Use ABAQUS temperature (must be in K) mattemp = temp ! ! else ! Temperature flag is not assined correctly call error(5) ! endif ! ! ! If the properties are defined at "usermaterials.f" if (readfromprops==0) then ! ! Enter materials subroutine once for every ip to get number of slip systems call materialparam(matid,mattemp, + phaid,nslip,nscrew,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,burgerv, + tauc_0,rho_0,forest_0,substructure_0, + slipmodel,slipparam,creepmodel,creepparam, + hardeningmodel,hardeningparam, + irradiationmodel,irradiationparam, + sintmat1,sintmat2,hintmat1,hintmat2, + backstressparam) ! ! If material properies are defined in PROPS vector elseif (readfromprops==1) then ! ! Phase id indicates crystal structure phaid = int(props(7)) ! ! Number of slip systems nslip = int(props(8)) ! ! Number of screw systems nscrew = int(props(9)) ! ! cubic slip flag cubicslip = int(props(10)) ! ! geometric factor gf = props(11) ! ! Elastic constants C11 = props(12) C12 = props(13) C44 = props(14) ! ! Shear modulus G12 = C44 ! ! ! Poisson's ratio v12 = C12/(C11+C12) ! ! If cubic material - 3 constants if (phaid<3) then ! ! Elasticity matrix of a cubic material Cc = 0. Cc(1,1:3) = (/ C11, C12, C12 /) Cc(2,1:3) = (/ C12, C11, C12 /) Cc(3,1:3) = (/ C12, C12, C11 /) Cc(4,4) = C44 Cc(5,5) = C44 Cc(6,6) = C44 ! ! ! If hexagonal material - 5 constants elseif (phaid==3) then ! ! Read the remaning parameters C13 = props(15) C33 = props(16) ! ! Elasticity matrix of a hexagonal material Cc = 0. Cc(1,1:3) = (/ C11, C12, C13 /) Cc(2,1:3) = (/ C12, C11, C13 /) Cc(3,1:3) = (/ C13, C13, C33 /) Cc(4,4) = C44 Cc(5,5) = C44 Cc(6,6) = 0.5*(C11-C12) ! ! If tetragonal material - 9 constants elseif (phaid==4) then ! ! Read the remaning parameters C23 = props(17) C22 = props(18) C55 = props(19) C66 = props(20) ! ! Elasticity matrix of a ot material Cc = 0. Cc(1,1:3) = (/ C11, C12, C13 /) Cc(2,1:3) = (/ C12, C22, C23 /) Cc(3,1:3) = (/ C13, C23, C33 /) Cc(4,4) = C44 Cc(5,5) = C55 Cc(6,6) = C66 ! ! ! endif ! ! c/a ratio caratio = int(props(21)) ! ! ! Thermal expansion coefficients alpha1 = props(22) alpha2 = props(23) alpha3 = props(24) alphamat = 0. alphamat(1,1) = alpha1 alphamat(2,2) = alpha2 alphamat(3,3) = alpha3 ! ! ! Starting index for props i0 = 25 ! ! ! Slip model slipmodel = int(props(i0)) ! ! Slip model parameters do i = 1, maxnparam ! ind = i + i0 ! slipparam(i) = props(ind) ! end do ! ! Creep model creepmodel = int(props(i0+maxnparam+1)) ! ! Creep model parameters do i = 1, maxnparam ! ind = i + i0 + maxnparam+1 ! creepparam(i) = props(ind) ! ! end do ! ! ! Hardening model hardeningmodel = int(props(i0+2*(maxnparam+1))) ! ! Hardening model parameters do i = 1, maxnparam ! ind = i + i0+2*(maxnparam+1) ! hardeningparam(i) = props(ind) ! end do ! ! ! They are undefined for now - set to identity ! Interaction matrices ! Initially set all to identity sintmat1=0. sintmat2=0. hintmat1=0. hintmat2=0. do is = 1, maxnslip sintmat1(is,is)=1. sintmat2(is,is)=1. hintmat1(is,is)=1. hintmat2(is,is)=1. end do ! ! Define hardening matrix here based on the model! ! Hardening model-1 if (hardeningmodel==1) then ! Hardening interactions - latent hardening hintmat1 = hardeningparam(4) do k = 1, int(nslip/3.) do i = 1, 3 do j = 1, 3 hintmat1(3*(k-1)+i, 3*(k-1)+j)=1. enddo enddo enddo end if ! ! ! Irradiation model irradiationmodel = int(props(i0+3*(maxnparam+1))) ! ! ! Irradiation model parameters do i = 1, maxnparam ! ind = i + i0+3*(maxnparam+1) ! irradiationparam(i) = props(ind) ! end do ! ! ! Backstress parameters if (backstressmodel==1) then ! backstressparam(1) = props(ind+1) backstressparam(2) = props(ind+2) ! end if ! ! ! ! ! ! ! Overwrite user-defined outputs in useroutputs.f ! Reset number of state variables nstatv_outputs = 0 ! Reset the flags for outputs statev_outputs = 0 ! ! Reset starting index i1 = i0 + 5*maxnparam + 3 do i = 1, 30 ! ind = i + i1 ! dum = int(PROPS(ind)) ! statev_outputs(i) = dum ! ! Count the total number of outputs if (dum ==1) then nstatv_outputs = nstatv_outputs + 1 end if ! end do ! ! ! ! Assign slip system quantities ! Reset starting index i2 = i1 + 30 ! ! Initial dislocation density rho_0=0. do is = 1, maxnslip ! ind = is + i2 ! rho_0(is) = props(ind) ! end do ! ! ! Burgers vector burgerv=0. do is = 1, maxnslip ! ind = is + i2 + 48 ! burgerv(is) = props(ind) ! end do ! ! ! Initial critical resolved shear strength tauc_0=0. do is = 1, maxnslip ! ind = is + i2 + 96 ! tauc_0(is) = props(ind) ! end do ! ! Initial forest dislocation density (hardening model-4) forest_0 = props(273) ! ! Initial substructure dislocation density (hardening model-4) substructure_0 = props(274) ! ! ! PROPS(275-300) are intentionally left empty! ! ! endif ! ! ! ! Initialize phase-id of the material phaseid_all(matid)=phaid ! ! ! Initialize number of slip systems numslip_all(matid)=nslip ! ! Initialize number of screw systems ! Required for GND calculations numscrew_all(matid)=nscrew ! ! ! Initialize crss statev_tauc(noel,npt,1:maxnslip)=tauc_0 statev_tauc_t(noel,npt,1:maxnslip)=tauc_0 ! ! Initialize ssd density per slip system statev_ssd(noel,npt,1:maxnslip)=rho_0 statev_ssd_t(noel,npt,1:maxnslip)=rho_0 ! ! Initialize total ssd density rhosum_0=sum(rho_0(1:nslip)) statev_ssdtot(noel,npt)=rhosum_0 statev_ssdtot_t(noel,npt)=rhosum_0 ! Initialize forest density per slip system for_0(1:nslip)=forest_0 statev_forest(noel,npt,1:maxnslip)=for_0 statev_forest_t(noel,npt,1:maxnslip)=for_0 ! ! Initialize total ssd density statev_substructure(noel,npt)=substructure_0 statev_substructure_t(noel,npt)=substructure_0 ! ! ! ! ! Initialize irradiation parameters if (irradiationmodel==1) then ! Initialize solute strength tausolute_0=irradiationparam(1) statev_tausolute(noel,npt)=tausolute_0 statev_tausolute_t(noel,npt)=tausolute_0 ! ! elseif (irradiationmodel==2) then ! Initialize defect loop density nloop=int(irradiationparam(1)) do i = 1, nloop loop_0(i)=irradiationparam(1+i)* + irradiationparam(1+nloop+i) statev_loop(noel,npt,i)=loop_0(i) statev_loop_t(noel,npt,i)=loop_0(i) end do ! end if ! ! ! Initialize caratio caratio_all(matid)=caratio ! ! ! Initialize cubicslip cubicslip_all(matid)=cubicslip ! ! Initialize elasticity in crystal frame Cc_all(matid,1:6,1:6)=Cc ! ! Initialize geometric factor gf_all(matid)=gf ! ! Initialize shear modulus G12_all(matid)=G12 ! Initialize Poisson's ratio v12_all(matid)=v12 ! ! Initialize thermal expansion matrix alphamat_all(matid,1:3,1:3)=alphamat ! ! Initialize burgers vector burgerv_all(matid,1:maxnslip)=burgerv ! ! ! ! assign the global variables ! ! slip model slipmodel_all(matid)=slipmodel ! slip parameters slipparam_all(matid,:)=slipparam ! creep model creepmodel_all(matid)=creepmodel ! creep parameters creepparam_all(matid,:)=creepparam ! hardening model hardeningmodel_all(matid)=hardeningmodel ! hardening parameters hardeningparam_all(matid,:)=hardeningparam ! irradiation model irradiationmodel_all(matid)=irradiationmodel ! irradiation parameters irradiationparam_all(matid,:)=irradiationparam ! ! ! backstress parameters backstressparam_all(matid,:)=backstressparam ! ! Initialize initial (undeformed) slip vectors ! This is needed once per element since the material is different call initialize_slipvectors(phaid,nslip,nscrew,caratio, + screw(1:nscrew),dirc(1:nslip,1:3),norc(1:nslip,1:3), + trac(1:nslip,1:3),linc(1:nslip+nscrew,1:3), + forestproj(1:nslip,1:nslip+nscrew), + slip2screw(1:nscrew,1:nslip)) ! ! ! Irradiation strength and hardening matrices are a function of slip vectors ! Therefore, the interaction matrices need to be computed here, ! after the calculation of slip vectors if (irradiationmodel==2) then call calculateintmats4irradmodel2(nslip,dirc,norc, + irradiationparam,sintmat2,hintmat2) end if ! ! ! assign the interaction matrices ! Strength interaction between dislocations sintmat1_all(matid,:,:) = sintmat1 ! Strength interaction dislocation loops related with irradiation sintmat2_all(matid,:,:) = sintmat2 ! Latent hardening hintmat1_all(matid,:,:) = hintmat1 ! Hardening interaction matrix between dislocations hintmat2_all(matid,:,:) = hintmat2 ! ! ! ! ! ! ! assign undeformed slip directions dirc_0_all(matid,1:nslip,1:3) = dirc(1:nslip,1:3) norc_0_all(matid,1:nslip,1:3) = norc(1:nslip,1:3) trac_0_all(matid,1:nslip,1:3) = trac(1:nslip,1:3) linc_0_all(matid,1:nslip+nscrew,1:3) = linc(1:nslip+nscrew,1:3) ! ! Forest projection operator forestproj_all(matid,1:nslip,1:nslip+nscrew) = + forestproj(1:nslip,1:nslip+nscrew) ! ! ! Slip to screw mapping slip2screw_all(matid,1:nscrew,1:nslip) = + slip2screw(1:nscrew,1:nslip) ! ! ! Screw systems screw_all(matid,1:nscrew)=screw(1:nscrew) ! ! Initialize Schmid tensor (needed for the calculation of Lp) Schmid_0=0. do is=1,nslip ! ! Slip direction in the sample reference dir = matmul(gmatinv,dirc(is,:)) ! Slip plane normal in the sample reference nor = matmul(gmatinv,norc(is,:)) ! do i=1,3 do j=1,3 Schmid_0(is,i,j) = dir(i)*nor(j) enddo enddo end do ! ! Assign undeformed Schmid tensor Schmid_0_all(matid,1:nslip,:,:) = Schmid_0(1:nslip,:,:) ! ! ! Initial GND density (may or may not be present!) gnd_0=statev_gnd_0(noel,npt,:) ! ! Calculate initial total and forest density call totalandforest( + phaid, nscrew, nslip, + gnd_0(1:nslip+nscrew), rho_0(1:nslip), rhosum_0, + for_0(1:nslip), forestproj(1:nslip,1:nslip+nscrew), + slip2screw(1:nscrew,1:nslip), + rhotot_0(1:nslip), sumrhotot_0, rhofor_0(1:nslip)) ! ! ! ! Calculate crss call slipresistance(phaid, nslip, gf, G12, + burgerv(1:nslip), sintmat1(1:nslip,1:nslip), + sintmat2(1:nslip,1:nslip), tauc_0(1:nslip), + rhotot_0, sumrhotot_0, rhofor_0(1:nslip), + substructure_0, tausolute_0, loop_0(1:maxnloop), + hardeningmodel, hardeningparam, + irradiationmodel, irradiationparam, + mattemp, tauceff_0(1:nslip)) ! ! statev_tauceff(noel,npt,1:maxnslip)=tauceff_0 ! ! return end subroutine initialize_atfirstinc ! ! ! ! Arrays allocated subroutine allocate_arrays use globalvariables, only : numel, numpt, numdim, + Euler, materialid, featureid, phaseid, + phaseid_all, numslip_all, numscrew_all, + dirc_0_all, norc_0_all, trac_0_all, linc_0_all, + forestproj_all, slip2screw_all, screw_all, + ip_init, gradip2ip, ipcoords, ipdomain, + statev_sigma_t2, statev_gmatinv, statev_gmatinv_t, + statev_gmatinv_0, statev_gammasum, statev_gammasum_t, + statev_jacobi, statev_jacobi_t, statev_Fth, statev_Fth_t, + statev_gammadot, statev_gammadot_t, statev_Fp, statev_Fp_t, + statev_sigma, statev_sigma_t, statev_tauc, statev_tauc_t, + statev_maxx, statev_maxx_t, statev_Eec, statev_Eec_t, + statev_gnd, statev_gnd_t, statev_ssd, statev_ssd_t, + statev_forest, statev_forest_t, statev_substructure, + statev_substructure_t, statev_tausolute, statev_tausolute_t, + statev_totgammasum, statev_totgammasum_t, + statev_evmp, statev_evmp_t, statev_ssdtot, statev_ssdtot_t, + statev_Lambda, statev_Lambda_t, statev_curvature, + statev_loop, statev_loop_t, statev_gnd_0, + caratio_all, cubicslip_all, Cc_all, gf_all, + G12_all, v12_all, alphamat_all, burgerv_all, + slipmodel_all, slipparam_all, Schmid_0_all, + creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, + irradiationmodel_all, irradiationparam_all, + sintmat1_all, sintmat2_all, + hintmat1_all, hintmat2_all, + backstressparam_all, statev_backstress_t, + statev_backstress, statev_plasdiss_t, + statev_plasdiss, statev_tauceff ! use userinputs, only : maxnslip, maxnparam, + maxnmaterial, maxnloop implicit none integer i, j, k ! ! ! Can be different for each element allocate(Euler(numel,3)) Euler=0. ! ! For multiple grains allocate(featureid(numel,numpt)) featureid=0 ! ! For multi materials allocate(materialid(numel,numpt)) materialid=0 ! ! For multi phases allocate(phaseid(numel,numpt)) phaseid=0 ! ! Initial crystal to sample transformation ! ! For multi material case with varying number of slip systems allocate(numslip_all(maxnmaterial)) numslip_all=0 ! ! For multi material case with varying number of screw systems allocate(numscrew_all(maxnmaterial)) numscrew_all=0 ! ! Screw systems allocate(screw_all(maxnmaterial,maxnslip)) screw_all=0 ! ! ! For multi material case with varying number of slip systems allocate(phaseid_all(maxnmaterial)) phaseid_all=0 phaseid_all=0 ! ! Allocate slip systems allocate(dirc_0_all(maxnmaterial,maxnslip,3)) dirc_0_all=0. allocate(norc_0_all(maxnmaterial,maxnslip,3)) norc_0_all=0. allocate(trac_0_all(maxnmaterial,maxnslip,3)) trac_0_all=0. allocate(linc_0_all(maxnmaterial,2*maxnslip,3)) linc_0_all=0. ! Allocate initial Schmid tensor allocate(Schmid_0_all(maxnmaterial,maxnslip,3,3)) Schmid_0_all=0. ! ! Forest projections for GND allocate(forestproj_all(maxnmaterial,maxnslip,maxnslip*2)) forestproj_all=0. ! ! Mapping for dislocations at slip sytems to screw systems for GND allocate(slip2screw_all(maxnmaterial,maxnslip,maxnslip)) slip2screw_all=0. ! ! IP domain size (area/volume) allocate(ipdomain(numel,numpt)) ipdomain=0. ! ! ! These are needed for GND calculations allocate(ipcoords(numel,numpt,numdim)) ipcoords=0. allocate(ip_init(numel,numpt)) ip_init=0 ! very important to set to zero initially ! ! Allocate arrays related with shape functions ! Note the gradient is 3-dimensional ("numdim" is not used!) allocate(gradip2ip(numel,numpt+1,3,numpt)) gradip2ip=0. ! ! ! Allocate state variables allocate(statev_gmatinv(numel,numpt,3,3)) statev_gmatinv=0. allocate(statev_gmatinv_t(numel,numpt,3,3)) statev_gmatinv_t=0. allocate(statev_gmatinv_0(numel,numpt,3,3)) statev_gmatinv_0=0. ! do i=1,numel do j=1,numpt do k=1,3 statev_gmatinv(i,j,k,k)=1. statev_gmatinv_t(i,j,k,k)=1. statev_gmatinv_0(i,j,k,k)=1. end do end do end do ! allocate(statev_gammasum(numel,numpt,maxnslip)) statev_gammasum=0. allocate(statev_gammasum_t(numel,numpt,maxnslip)) statev_gammasum_t=0. allocate(statev_gammadot(numel,numpt,maxnslip)) statev_gammadot=0. allocate(statev_gammadot_t(numel,numpt,maxnslip)) statev_gammadot_t=0. allocate(statev_Fp(numel,numpt,3,3)) statev_Fp=0. allocate(statev_Fp_t(numel,numpt,3,3)) statev_Fp_t=0. allocate(statev_Fth(numel,numpt,3,3)) statev_Fth=0. allocate(statev_Fth_t(numel,numpt,3,3)) statev_Fth_t=0. ! do i=1,numel do j=1,numpt do k=1,3 statev_Fp(i,j,k,k)=1. statev_Fp_t(i,j,k,k)=1. statev_Fth(i,j,k,k)=1. statev_Fth_t(i,j,k,k)=1. end do end do enddo ! allocate(statev_sigma(numel,numpt,6)) statev_sigma=0. allocate(statev_sigma_t(numel,numpt,6)) statev_sigma_t=0. allocate(statev_sigma_t2(numel,numpt,6)) statev_sigma_t2=0. allocate(statev_jacobi(numel,numpt,6,6)) statev_jacobi=0. allocate(statev_jacobi_t(numel,numpt,6,6)) statev_jacobi_t=0. ! do i=1,numel do j=1,numpt do k=1,6 statev_jacobi(i,j,k,k)=1. statev_jacobi_t(i,j,k,k)=1. end do end do enddo ! allocate(statev_tauc(numel,numpt,maxnslip)) statev_tauc=0. allocate(statev_tauc_t(numel,numpt,maxnslip)) statev_tauc_t=0. ! allocate(statev_tauceff(numel,numpt,maxnslip)) statev_tauceff=0. ! allocate(statev_maxx(numel,numpt)) statev_maxx=0. allocate(statev_maxx_t(numel,numpt)) statev_maxx_t=0. allocate(statev_Eec(numel,numpt,6)) statev_Eec=0. allocate(statev_Eec_t(numel,numpt,6)) statev_Eec_t=0. ! ! Incompatibility allocate(statev_Lambda(numel,numpt,9)) statev_Lambda = 0. allocate(statev_Lambda_t(numel,numpt,9)) statev_Lambda_t = 0. ! Lattice curvature allocate(statev_curvature(numel,numpt,9)) statev_curvature = 0. ! ! Allocated as twice the maxslip to leave space for screws allocate(statev_gnd(numel,numpt,2*maxnslip)) statev_gnd=0. allocate(statev_gnd_t(numel,numpt,2*maxnslip)) statev_gnd_t=0. allocate(statev_gnd_0(numel,numpt,2*maxnslip)) statev_gnd_0=0. allocate(statev_ssd(numel,numpt,maxnslip)) statev_ssd=0. allocate(statev_ssd_t(numel,numpt,maxnslip)) statev_ssd_t=0. allocate(statev_ssdtot(numel,numpt)) statev_ssdtot=0. allocate(statev_ssdtot_t(numel,numpt)) statev_ssdtot_t=0. allocate(statev_forest(numel,numpt,maxnslip)) statev_forest=0. allocate(statev_forest_t(numel,numpt,maxnslip)) statev_forest_t=0. allocate(statev_substructure(numel,numpt)) statev_substructure=0. allocate(statev_substructure_t(numel,numpt)) statev_substructure_t=0. allocate(statev_tausolute(numel,numpt)) statev_tausolute=0. allocate(statev_tausolute_t(numel,numpt)) statev_tausolute_t=0. allocate(statev_totgammasum(numel,numpt)) statev_totgammasum=0. allocate(statev_totgammasum_t(numel,numpt)) statev_totgammasum_t=0. allocate(statev_evmp(numel,numpt)) statev_evmp=0. allocate(statev_evmp_t(numel,numpt)) statev_evmp_t=0. ! allocate(statev_plasdiss(numel,numpt)) statev_plasdiss=0. allocate(statev_plasdiss_t(numel,numpt)) statev_plasdiss_t=0. ! ! allocate as sparse array allocate(statev_loop(numel,numpt,maxnloop)) statev_loop=0. allocate(statev_loop_t(numel,numpt,maxnloop)) statev_loop_t=0. ! allocate(statev_backstress(numel,numpt,maxnslip)) statev_backstress=0. allocate(statev_backstress_t(numel,numpt,maxnslip)) statev_backstress_t=0. ! ! Material parameters allocate(caratio_all(maxnmaterial)) caratio_all=0. allocate(cubicslip_all(maxnmaterial)) cubicslip_all=0 allocate(Cc_all(maxnmaterial,6,6)) Cc_all=0. allocate(gf_all(maxnmaterial)) gf_all=0. allocate(G12_all(maxnmaterial)) G12_all=0. allocate(v12_all(maxnmaterial)) v12_all=0. allocate(alphamat_all(maxnmaterial,3,3)) alphamat_all=0. allocate(burgerv_all(maxnmaterial,maxnslip)) burgerv_all=0. ! ! ! Material model parameters allocate(slipmodel_all(maxnmaterial)) slipmodel_all=0 allocate(slipparam_all(maxnmaterial,maxnparam)) slipparam_all=0. allocate(creepmodel_all(maxnmaterial)) creepmodel_all=0 allocate(creepparam_all(maxnmaterial,maxnparam)) creepparam_all=0. allocate(hardeningmodel_all(maxnmaterial)) hardeningmodel_all=0 allocate(hardeningparam_all(maxnmaterial,maxnparam)) hardeningparam_all=0. allocate(irradiationmodel_all(maxnmaterial)) irradiationmodel_all=0 allocate(irradiationparam_all(maxnmaterial,maxnparam)) irradiationparam_all=0. ! allocate(backstressparam_all(maxnmaterial,maxnparam)) backstressparam_all=0. ! ! Interaction matrices allocate(sintmat1_all(maxnmaterial,maxnslip,maxnslip)) sintmat1_all=0. allocate(sintmat2_all(maxnmaterial,maxnslip,maxnslip)) sintmat2_all=0. allocate(hintmat1_all(maxnmaterial,maxnslip,maxnslip)) hintmat1_all=0. allocate(hintmat2_all(maxnmaterial,maxnslip,maxnslip)) hintmat2_all=0. ! ! ! return end subroutine allocate_arrays ! ! ! ! ! ! ! ! ! ! ! ! ! This subroutine assigns identity tensors ! USES: I3(3,3),I6(6,6),I9(9,9),eijk(3,3,3) subroutine initialize_identity use globalvariables, only : I3, I6, I9, eijk implicit none integer :: i, j, k, l ! I3=0. I6=0. I9=0. ! ! Identity matrix (3x3) do i=1,3 I3(i,i)=1. enddo ! ! ! Identity matrix (6x6) do i=1,6 I6(i,i)=1. enddo ! ! Identity matrix (9x9) do i=1,9 I9(i,i)=1. enddo ! ! ! Permutation symbol (3x3x3) eijk=0. eijk(1,2,3)=1. eijk(2,3,1)=1. eijk(3,1,2)=1. eijk(3,2,1)=-1. eijk(2,1,3)=-1. eijk(1,3,2)=-1. ! return end subroutine initialize_identity ! ! ! This subroutine assigns orientations subroutine initialize_orientations(Euler,gmatinv) use utilities, only: Euler2ori implicit none real(8), intent(in) :: Euler(3) real(8), intent(out) :: gmatinv(3,3) real(8) :: g(3,3) ! ! ! Sample to crystal transformation call Euler2ori(Euler,g) ! ! ! Crystal to sample tranformation gmatinv = transpose(g) ! ! return end subroutine initialize_orientations ! ! ! All slip systems of different phases are initialized ! 1: BCC ! 2: FCC ! 3: HCP ! 4: alpha-uranium ! Forest projections are initialized here! ! The number of slip systems will be identified in materials card ! Slip directions subroutine initialize_slipvectors(phaid,nslip,nscrew,caratio, + screw,dirc,norc,trac,linc,forestproj,slip2screw) use userinputs, only : maxnslip use globalvariables, only : dir1, nor1, dir2, nor2, + dir3h, nor3h, dir4, nor4 use utilities, only: vecprod use errors, only: error implicit none ! Inputs integer, intent(in) :: phaid, nslip, nscrew real(8), intent(in) :: caratio ! Outputs real(8), dimension(nslip,3), intent(out) :: dirc real(8), dimension(nslip,3), intent(out) :: norc real(8), dimension(nslip,3), intent(out) :: trac real(8), dimension(nslip+nscrew,3), intent(out) :: linc real(8), dimension(nslip,nslip+nscrew), intent(out) :: forestproj real(8), dimension(nscrew,nslip), intent(out) :: slip2screw integer, dimension(nscrew), intent(out) :: screw ! ! Local variables used within this subroutine real(8) :: dir(48,3), nor(48,3) real(8) :: sdir(nslip+nscrew,3) real(8) :: res integer :: is, i, j ! ! caratio (c/a) ratio is only used for HCP materials ! So, caratio can take any value for other phases than HCP ! ! Reset arrays dirc=0.; norc=0. dir=0.; nor=0. ! ! BCC phase if (phaid == 1) then ! ! ! ! Normalize slip directions and normals do is=1, 48 dir(is,:) = dir1(is,:)/norm2(dir1(is,:)) ! nor(is,:) = nor1(is,:)/norm2(nor1(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! FCC phase elseif (phaid == 2) then ! ! ! ! ! Normalize slip directions and normals do is=1,18 dir(is,:) = dir2(is,:)/norm2(dir2(is,:)) ! nor(is,:) = nor2(is,:)/norm2(nor2(is,:)) end do ! ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! ! ! ! ! HCP phase elseif (phaid == 3) then ! ! slip direction conversion ! [uvtw]->[3u/2 (u+2v)*sqrt(3)/2 w*(c/a)]) do is=1,30 dir(is,1) = 3.*dir3h(is,1)/2. dir(is,2) = (dir3h(is,1) + 2.*dir3h(is,2))*sqrt(3.)/2. dir(is,3) = dir3h(is,4)*caratio end do ! ! ! slip plane conversion ! (hkil)->(h (h+2k)/sqrt(3) l/(c/a)) do is=1,30 nor(is,1) = nor3h(is,1) nor(is,2) = (nor3h(is,1) + 2.*nor3h(is,2))/sqrt(3.) nor(is,3) = nor3h(is,4)/caratio end do ! ! Normalize slip directions and normals do is=1,30 dir(is,:) = dir(is,:)/norm2(dir(is,:)) ! nor(is,:) = nor(is,:)/norm2(nor(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! ! alpha-Uranium elseif (phaid == 4) then ! ! Normalize slip directions and normals do is=1,8 dir(is,:) = dir4(is,:)/norm2(dir4(is,:)) ! nor(is,:) = nor4(is,:)/norm2(nor4(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! else ! ! Error message needed! ! Phase number is not within the available options call error(4) ! ! ! end if ! ! ! Transverse directions trac = 0. do i = 1, nslip ! call vecprod(dirc(i,1:3),norc(i,1:3),trac(i,1:3)) ! end do ! ! ! ! Dislocation line directions: ! ! If screw systems are defined if (nscrew>0) then ! ! ! Build up the screw slip systems select case(phaid) ! ! ! ! BCC case(1) ! ! a/2<111> screw(1) = 1 screw(2) = 2 screw(3) = 3 screw(4) = 6 ! ! ! FCC case(2) ! screw(1) = 1 screw(2) = 2 screw(3) = 3 screw(4) = 4 screw(5) = 6 screw(6) = 8 ! ! ! ! HCP case(3) ! ! slip screw(1) = 1 screw(2) = 2 screw(3) = 3 ! screw(4) = 7 screw(5) = 8 screw(6) = 9 screw(7) = 10 screw(8) = 11 screw(9) = 12 ! ! ! ! end select ! end if ! ! ! ! slip2screw mapping slip2screw = 0. ! Loop through the defined screw systems for equivalency do i = 1, nscrew ! ! Screw system corresponding slip system is = screw(i) ! ! Set the mapping to 1/2 slip2screw(i,is) = 0.5 ! ! Loop through all possible slip sytems do j = 1, nslip ! ! Caclulate the difference in Burgers vector res = dot_product(dirc(is,1:3),dirc(j,1:3)) ! ! If all the components of the vector is the same if (abs(res)>0.99) then ! ! Assign the component of mapping as 1/2 slip2screw(i,j) = 0.5 ! ! end if ! ! Loop for slip sytems end do ! ! ! Loop for screw systems end do ! ! ! ! ! ! ! Calculate line directions for edge dislocations linc = 0. do i = 1, nslip ! call vecprod(dirc(i,1:3),norc(i,1:3),linc(i,1:3)) ! end do ! ! Calculate line directions for screw dislocations ! If screw dislocations exist if (nscrew>0) then ! do i = 1, nscrew ! linc(nslip+i,1:3) = dirc(screw(i),1:3) ! end do ! end if ! ! ! Compute forest projection operator for GNDs forestproj = 0. do i = 1, nslip ! do j = 1, nslip+nscrew ! forestproj(i,j) = + abs(dot_product(norc(i,1:3),linc(j,1:3))) ! enddo ! enddo ! ! ! ! ! ! ! ! return end subroutine initialize_slipvectors ! ! ! ! end module initializations ================================================ FILE: Example - Polycrytal with PROPS/innerloop.f ================================================ module innerloop implicit none contains ! ! subroutine Dunne_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! use globalvariables, only : I6 ! use userinputs, only : maxniter, tolerance, + maxnparam, maxnloop, SVDinversion, maxnslip ! use utilities, only : matvec6, + nolapinverse, SVDinverse ! use slip, only : sinhslip, doubleexpslip, + powerslip ! use creep, only : expcreep ! use errors, only : error ! implicit none ! ! INPUTS ! ! Initial Schmid tensor real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! creep model no. integer, intent(in) :: creepmodel ! creep model parameters real(8), intent(in) :: creepparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! ! time increment real(8), intent(in) :: dt ! trial stress real(8), intent(in) :: sigmatr(6) ! overall crss real(8), intent(in) :: tauceff(nslip) ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! total slip per slip system accumulated over the time ! at the current time step real(8), intent(in) :: gammasum(nslip) ! ! INOUTS ! Cauchy stress real(8), intent(inout) :: sigma(6) ! overall crss real(8), intent(inout) :: tau(nslip) ! convergence flag integer, intent(inout) :: cpconv ! ! OUTPUTS ! slip rates at the current time step real(8), intent(out) :: gammadot(nslip) ! plastic velocity gradient real(8), intent(out) :: Lp(3,3) ! Total deformation rate real(8), intent(out) :: Dp(3,3) ! Total deformation rate real(8), intent(out) :: dstranp33(3,3) ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8), intent(out) :: invdpsi_dsigma(6,6) ! number of iterations integer, intent(out) :: iter ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3) ! plastic velocity gradient for creep real(8) Lp_c(3,3) ! Sym part of plastic velocity gradient for slip real(8) Dp_s(3,3) ! Sym part of plastic velocity gradient for creep real(8) Dp_c(3,3) ! plastic tangent stiffness for slip real(8) Pmat_s(6,6) ! plastic tangent stiffness for creep real(8) Pmat_c(6,6) ! tangent matrix for NR iteration real(8) Pmat(6,6) ! slip rates for slip real(8) gammadot_s(nslip) ! slip rates for creep real(8) gammadot_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtau_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtau_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtauc_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtauc_c(nslip) ! ! plastic strain increment real(8) :: dstranp(6) ! ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8) :: dpsi_dsigma(6,6) ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psi(6) ! ! ! ! stress increment real(8) :: dsigma(6) ! ! error flag for svd inversion integer :: err ! integer :: is ! ! Reset variables for the inner iteration psinorm = 1. iter = 0 ! ! ! Newton-Raphson (NR) iteration to find stress increment do while ((psinorm >= tolerance) +.and.(iter < maxniter).and.(cpconv == 1)) ! ! ! Slip models to find slip rates ! ! none if (slipmodel == 0) then ! Lp_s = 0. Dp_s = 0. Pmat_s = 0. gammadot_s = 0. ! ! ! sinh law elseif (slipmodel == 1) then ! call sinhslip(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,rhofor,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s,Dp_s,Pmat_s, + gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! ! exponential law elseif (slipmodel == 2) then ! ! call doubleexpslip(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,burgerv,dt,nslip,phaid, + mattemp,slipparam,irradiationmodel, + irradiationparam,cubicslip,caratio, + Lp_s,Dp_s,Pmat_s,gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! ! power law elseif (slipmodel == 3) then ! ! call powerslip(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s,Dp_s,Pmat_s, + gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! end if ! ! ! ! Slip due to creep if (creepmodel == 0) then ! ! Lp_c = 0. Dp_c = 0. Pmat_c = 0. gammadot_c = 0. ! ! elseif (creepmodel == 1) then ! ! ! call expcreep(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,dt,nslip,phaid, + mattemp,creepparam,gammasum,Lp_c,Dp_c,Pmat_c, + gammadot_c,dgammadot_dtau_c, + dgammadot_dtauc_c) ! ! ! ! endif ! ! ! Sum the effects of creep and slip rates Lp = Lp_s + Lp_c Dp = Dp_s + Dp_c Pmat = Pmat_s + Pmat_c gammadot = gammadot_s + gammadot_c ! ! ! ! Check for NaN in the slip rates if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 return endif ! ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 return endif ! ! Check for the Pmat if(any(Pmat /= Pmat)) then ! did not converge cpconv = 0 return endif ! ! ! ! Plastic strain increment dstranp33 = Dp*dt call matvec6(dstranp33,dstranp) dstranp(4:6)=2.*dstranp(4:6) ! ! ! ! ! Tangent-stiffness calculation ! Jacobian of the Newton loop (see Dunne, Rugg, Walker, 2007) dpsi_dsigma = I6 + matmul(Cs, Pmat) ! ! ! ! Invert (double precision version) call nolapinverse(dpsi_dsigma,invdpsi_dsigma,6) ! ! ! If inversion is not successfull! ! Check for the inverse if(any(invdpsi_dsigma /= invdpsi_dsigma)) then ! ! Try using singular value decomposition ! If singular value decomposition is ON if (SVDinversion==1) then ! ! Invert call SVDinverse(dpsi_dsigma,6,invdpsi_dsigma,err) ! ! ! else ! ! ! did not converge err = 1 ! ! ! end if ! ! Check again and if still not successfull if(err==1) then ! did not converge cpconv = 0 return end if ! ! endif ! ! ! ! residual (predictor - corrector scheme) psi = sigmatr - sigma - matmul(Cs,dstranp) ! ! norm of the residual psinorm = sqrt(sum(psi*psi)) ! ! ! stress increment dsigma = matmul(invdpsi_dsigma,psi) ! ! ! stress update sigma = sigma + dsigma ! ! ! ! calculate resolved shear stress on slip systems ! rss and its sign do is = 1, nslip tau(is) = dot_product(Schmidvec(is,:),sigma) end do ! ! ! increment iteration no. iter = iter + 1 ! ! End of NR iteration (inner loop) end do ! ! ! ! ! return end subroutine Dunne_innerloop ! ! ! ! ! ! ! ! ! This subroutine is written by Chris Hardie (11/10/2023) ! Explicit state update rule ! Solution using state variables at the former time step subroutine Hardie_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + irradiationmodel, + irradiationparam, + dt,sigmatr, + abstautr,signtautr, + tauceff,rhofor,X, + sigma,iterinverse) ! use globalvariables, only : I3, I6, smallnum ! use userinputs, only : maxniter, maxnparam, maxnslip, + inversetolerance ! use utilities, only : matvec6, gmatvec6 ! use slipreverse, only : sinhslipreverse, powerslipreverse, + doubleexpslipreverse ! ! implicit none ! ! ! INPUTS ! ! Initial Schmid tensor real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! ! time increment real(8), intent(in) :: dt ! trial stress real(8), intent(in) :: sigmatr(6) ! absolute value of trial RSS real(8), intent(in) :: abstautr(nslip) ! sign of trial RSS real(8), intent(in) :: signtautr(nslip) ! overall crss real(8), intent(in) :: tauceff(nslip) ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! ! OUTPUTS ! Cauchy stress real(8), intent(out) :: sigma(6) ! Number of iterations integer, intent(out) :: iterinverse ! ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3) ! slip rates for slip real(8) gammadot_s(nslip) ! absolute slip rates real(8) absgammadot_s(nslip) ! sign of gammadot_s real(8) signgammadot_s(nslip) ! derivative of rss wrt slip rates for slip real(8) dtau_dgammadot_s(nslip,nslip) ! derrivative of error function real(8) dpsi_dgammadot(nslip,nslip) ! inverse of derivative above real(8) dpsi_dgammadotinv(nslip,nslip) ! slip correction real(8) dgammadot(nslip) ! Derivative of slip law in forward direction real(8) :: dgammadot_dtau(nslip) ! rss at the former time step real(8) :: tau(nslip), tau_e(nslip) ! absolute value of rss at the former time step real(8) :: abstau(nslip) ! sign of rss at the former time step real(8) :: signtau(nslip) ! ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psinorm2, psi(nslip) ! ! Forward Jacobian real(8) :: Pmat(6,6) real(8) :: dpsi_dsigma(6,6) ! LU decomposition matricies for calculation of determinant ! real(8), allocatable :: l(:,:), u(:,:) ! integer, allocatable :: p(:,:) ! ! plastic strain increment real(8) :: plasstraininc33(3,3), plasstraininc(6) real(8) :: plasstrainrate(3,3) ! ! Shear Stiffness Matrix real(8) :: G(nslip,nslip) ! ! other variables real(8) :: dummy6(6), damping, iter_max, activesum integer :: is ! ! allocate(dpsi_dsigma(6,6),l(6,6),u(6,6),p(6,6)) ! ! ! Reset variables for iteration iter_max=10000.0 iterinverse = 0 psinorm = 1.0d+200 psinorm2 = 1.0d+200 ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigmatr abstau = abstautr signtau =signtautr tau_e = abstau*signtau gammadot_s=0. absgammadot_s=0. Lp_s=0. ! ! Build Shear stiffness matrix ! G = 0. do is = 1, nslip dummy6 = matmul(Cs, Schmidvec(is,:)) G(is,is) = dot_product(Schmidvec(is,:), dummy6) end do ! ! Newton-Raphson (NR) iteration to find stress increment do while ((psinorm >= inversetolerance))! .OR. (psinorm2 >= tol2))!((psinorm >= tol)) !((psinorm >= tol) .AND. (psinorm2 >= tol2)) ! ! increment iteration no. iterinverse = iterinverse + 1 ! ! Slip models to find slip rates ! ! none if (slipmodel == 0) then ! gammadot_s = 0. ! ! sinh law elseif (slipmodel == 1) then ! call sinhslipreverse( + Schmid,SchmidxSchmid,signtau, + abstau,tau,X,tauceff,rhofor,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s, + absgammadot_s, gammadot_s, + dtau_dgammadot_s, dgammadot_dtau,Pmat) ! ! ! ! double exponent law (exponential law) elseif (slipmodel == 2) then ! ! call doubleexpslipreverse( + Schmid,SchmidxSchmid, + tau,X,abstau,signtau,tauceff, + burgerv,dt,nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp_s,Pmat,absgammadot_s,gammadot_s, + dtau_dgammadot_s,dgammadot_dtau) ! ! ! power law elseif (slipmodel == 3) then ! ! call powerslipreverse( + Schmid,SchmidxSchmid, + tau,X,abstau,signtau,tauceff, + burgerv,dt,nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp_s,absgammadot_s, gammadot_s,dtau_dgammadot_s, + dgammadot_dtau, Pmat) ! ! end if ! ! calculate resolved shear stress on slip systems ! rss and its sign activesum=0 do is = 1, nslip tau(is) = signtau(is)*abstau(is) if (abstau(is) .GE. tauceff(is)) then activesum=activesum+1.0 end if end do ! ! residual (predictor - corrector) including backstress psi = tau - X - tau_e ! ! norm of the residual psinorm2 = sqrt(sum(psi*psi)) ! ! Forward Jacobian dgammadot_dtau=abs(dgammadot_dtau)*dt psinorm = maxval(dgammadot_dtau) ! ! ! CALL LU_DECOMP(dpsi_dsigma, p, l, u) ! ! ! ! dpsi_dgammadot ! dpsi_dgammadot = dtau_dgammadot_s + G*dt ! ! Invert diagonal matrix dpsi_dgammadotinv=0. do is = 1, nslip dpsi_dgammadotinv(is,is)=1/dpsi_dgammadot(is,is) end do ! ! damping=min(2.0/activesum, 1.0)!0.5) ! damping = 0.5 ! if (psinorm > 200.0) then ! damping=min(2.0/activesum, 0.5) ! end if ! ! slip increment dgammadot = matmul(dpsi_dgammadotinv,psi) ! gammadot_s = gammadot_s-damping*dgammadot ! ! ! Calculate Plastic Strain Lp_s=0.; plasstrainrate=0. do is = 1, nslip Lp_s = Lp_s + gammadot_s(is)*Schmid_0(is,:,:) plasstrainrate = plasstrainrate + + gammadot_s(is)*Schmid(is,:,:) absgammadot_s(is) = abs(gammadot_s(is)) signgammadot_s(is)= sign(1.0,gammadot_s(is)) end do ! ! plastic strain rate plasstrainrate = (plasstrainrate + + transpose(plasstrainrate))/2. ! ! ! Plastic strain increment plasstraininc33 = plasstrainrate*dt call matvec6(plasstraininc33,plasstraininc) plasstraininc(4:6)=2.*plasstraininc(4:6) call gmatvec6(plasstraininc33,plasstraininc) ! ! Calculate rss following plastic relaxation ! sigma=sigmatr-matmul(Cs,plasstraininc) ! ! calculate resolved shear stress on slip systems ! rss and its sign do is = 1, nslip tau_e(is) = dot_product(Schmidvec(is,:),sigma) tau(is) = tau_e(is) signtau(is) = sign(1.0,tau(is)) abstau(is) = abs(tau(is)) end do ! ! check if slip is changing direction do is = 1, nslip if (signgammadot_s(is) /= signtau(is)) then gammadot_s(is)=0.0 absgammadot_s(is)=0.0 end if end do ! if (iterinverse > iter_max) then psinorm=1e-10 psinorm2=1e-10 end if ! ! End of NR iteration for stress approximation end do !active_s=1 !do is = 1, nslip ! if (absgammadot_s(is) > 0.0) then ! active_s(is)=1 ! end if !end do return end subroutine Hardie_innerloop ! end module innerloop ================================================ FILE: Example - Polycrytal with PROPS/irradiation.f ================================================ ! Specific subroutines for irradiation models ! ! Strength and hardening interaction matrices for irradiation model-2 module irradiation implicit none ! ! contains ! ! ! Subroutine to calculate strength interaction matrix for ! irradiation model-2 ! Ref: https://doi.org/10.1016/j.actamat.2022.118361 subroutine calculateintmats4irradmodel2(nslip, dirc, norc, + irradiationparam, sintmat, hintmat) use userinputs, only: maxnslip, maxnparam implicit none ! Inputs ! Number of slip systems integer, intent(in) :: nslip ! Normalize slip directions real(8), intent(in) :: dirc(maxnslip,3) ! Normalized slip plane normals real(8), intent(in) :: norc(maxnslip,3) ! Irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! Outputs ! Strength interaction matrix ! Strength interaction: sintmat (nslip x nloop) real(8), intent(out) :: sintmat(maxnslip,maxnslip) ! Hardening (Softening) interaction matrix ! Hardening interaction: hintmat (nloop x nslip) real(8), intent(out) :: hintmat(maxnslip,maxnslip) ! Variables used in this subroutine integer :: nloop ! reaction vector real(8) :: r(3) ! Projected vector (reaction segment) real(8) :: a integer :: i, j, ind ! ! ! ! ! Reset arrays sintmat = 0. hintmat = 0. ! ! ! Number of types of defects nloop = int(irradiationparam(1)) ! ! do i=1,nslip ! do j=1,nloop ! ! Slip system index corresponding to the defect type ind = int(irradiationparam(7+j)) ! ! What is the reaction product for the gliding dislocation on slip ! system 'i' and defect type 'j'? r = dirc(i,:) + dirc(ind,:) ! ! Is this reaction in the slip plane of slip system 'i'? a = dot_product(norc(i,:), r) ! if (a==0.) then sintmat(i,j)=irradiationparam(12) hintmat(j,i)=irradiationparam(14) else sintmat(i,j)=irradiationparam(11) hintmat(j,i)=irradiationparam(13) end if ! end do ! end do ! ! ! ! ! ! ! end subroutine calculateintmats4irradmodel2 ! ! ! end module irradiation ================================================ FILE: Example - Polycrytal with PROPS/meshprop.f ================================================ ! Jan. 01st, 2023 ! Eralp Demir ! ! ! ABAQUS Analysis User's Manual (6.10) ! 2D-Plane strain elements ! CPE4 4-node bilinear 4-integration points ! CPE6 6-node quadratic 3-integration points ! CPE8 8-node biquadratic 9-integration points ! CPE8R 8-node biquadratic 4-integration points (reduced integration) ! ! ! 2D-Plane stress elements ! CPS4 4-node bilinear 4-integration points ! CPS6 6-node quadratic 3-integration points ! CPS8 8-node biquadratic 9-integration points ! CPS8R 8-node biquadratic 4-integration points (reduced integration) ! ! ! 3D - element types ! C3D6 6-node linear triangular prism 4-integration points ! C3D8 8-node linear brick 8-integration points ! C3D10 10-node quadratic tetrahedron 4-integration points ! C3D15 15-node quadratic triangular prism 9-integration points ! C3D20 20-node quadratic brick 27-integration points ! C3D20R 20-node quadratic brick 8-integration points (reduced integration) ! module meshprop implicit none contains ! ! Finite element properties ! based on element type subroutine feprop use errors, only : error use globalvariables, only : eltyp, numel, + numtens, numdim, numpt, nnpel, + Nmat, invNmat, dNmat, dNmatc, + ipweights, calculategradient use userinputs, only : gndlinear, gndmodel use utilities, only: nolapinverse ! ! implicit none ! ! Gaussian point coordinates real(8) :: a, b ! Parametric coordinates real(8) :: g, h, r ! ! Separate variables are used for each element type ! in order to avoid using allocatables! ! ! Element type: CPE4 or CPS4 or CPE8R or CPS8R ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP4(4,2) ! Shape functions (nnpel) real(8) :: N_CP4(4) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_CP4(2,4) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP4(4,4) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP4(4,4) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_CP4(4,2,4) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP4(2,4) ! ! ! Element type: CPE6 or CPS6 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP6(3,2) ! Shape functions (nnpel) ! Linear version real(8) :: N_CP3(3) ! Quadratic version real(8) :: N_CP6(6) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_CP3(2,3) ! Quadratic version real(8) :: dN_CP6(2,6) ! Shape function matrix ! Linear version (numpt x nnpel) real(8) :: Nmat_CP3(3,3) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_CP6(6,6) ! Inverse of the shape function matrix (nnpel x numpt) ! Linear version real(8) :: invNmat_CP3(3,3) ! Quadratic version real(8) :: invNmat_CP6(6,3) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_CP3(3,2,3) ! Quadratic version real(8) :: dNmat_CP6(3,2,6) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_CP3(2,3) ! Quadratic version real(8) :: dNmatc_CP6(2,6) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_CP6(3,2) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_CP3(3,2) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_CP6(6,3) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_CP6(6,6) ! ! ! Element type: CPE8 or CPS8 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP8(9,2) ! Shape functions (nnpel) real(8) :: N_CP8(8) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_CP8(2,8) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP8(9,8) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_CP8(8,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP8(8,9) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_CP8(9,2,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP8(2,8) ! Square matrix (nnpel x nnpel) real(8) :: NTN_CP8(8,8) ! ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP8lin(9,4) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP8lin(4,9) ! Shape function derivatives (numpt x numdim x nnpel) real(8) :: dNmat_CP8lin(9,2,4) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP8lin(2,4) ! Square matrix (nnpel x nnpel) real(8) :: NTN_CP8lin(4,4) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_CP8lin(4,4) ! ! ! Element type: C3D8 or C3D20R ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D8(8,3) ! Shape functions (nnpel) real(8) :: N_C3D8(8) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_C3D8(3,8) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D8(8,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D8(8,8) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_C3D8(8,3,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D8(3,8) ! ! ! Element type: C3D10 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D10(4,3) ! Shape functions (nnpel) ! Linear version real(8) :: N_C3D4(4) ! Quadratic version real(8) :: N_C3D10(10) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_C3D4(3,4) ! Quadratic version real(8) :: dN_C3D10(3,10) ! Shape function matrix ! Linear version (numpt x nnpel) real(8) :: Nmat_C3D4(4,4) ! Linear version (numpt_sub x nnpel) real(8) :: Nmat_sub_C3D4(6,4) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_C3D10(10,10) ! Inverse of the shape function matrix (nnpel x numpt) ! Linear version real(8) :: invNmat_C3D4(4,4) ! Quadratic version real(8) :: invNmat_C3D10(10,4) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_C3D4(4,3,4) ! Quadratic version real(8) :: dNmat_C3D10(4,3,10) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_C3D4(3,4) ! Quadratic version real(8) :: dNmatc_C3D10(3,10) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D10(6,3) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D4(6,3) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_C3D10(10,4) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_C3D10(10,10) ! ! ! ! Element type: C3D15 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D15(9,3) ! Shape functions (nnpel) ! Linear version real(8) :: N_C3D6(6) ! Quadratic version real(8) :: N_C3D15(15) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_C3D6(3,6) ! Quadratic version real(8) :: dN_C3D15(3,15) ! Shape function matrix ! Linear version (numpt x nnpel_sub) real(8) :: Nmat_C3D6(9,6) ! Quadratic version (numpt x nnpel_sub) real(8) :: Nmat_sub_C3D6(6,6) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_C3D15(15,15) ! Coefficient matrix ! Linear version (nnpel_sub x numpt) real(8) :: coeff_C3D6(6,6) ! Linear version (nnpel_sub x numpt) real(8) :: invNmat_C3D6(6,9) ! Quadratic version (nnpel x numpt) real(8) :: invNmat_C3D15(15,9) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_C3D6(9,3,6) ! Quadratic version real(8) :: dNmat_C3D15(9,3,15) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_C3D6(3,6) ! Quadratic version real(8) :: dNmatc_C3D15(3,15) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D15(6,3) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D6(6,3) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_C3D15(15,9) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_C3D15(15,15) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D6(6,6) ! ! ! ! ! Element type: C3D20 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D20(27,3) ! Shape functions (nnpel) real(8) :: N_C3D20(20) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_C3D20(3,20) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D20(27,20) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_C3D20(20,20) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D20(20,27) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_C3D20(27,3,20) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D20(3,20) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D20(20,20) ! ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D20lin(27,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D20lin(8,27) ! Shape function derivatives (numpt x numdim x nnpel) real(8) :: dNmat_C3D20lin(27,3,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D20lin(3,8) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D20lin(8,8) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_C3D20lin(8,8) ! ! ! Sub element properties integer :: nnpel_sub, numpt_sub ! Parametric Gauss point coordinates integer :: ipt ! Dummy integers integer :: i, j ! ! ! Identify the element type ! Based on ! - number of integration points per element: numpt ! - dimension of the problem: ntens call findelementtype(numtens,numpt,eltyp) ! ! ! ! !! Output the element type ! write(*,*) 'ABAQUS element type: ', eltyp ! select case(eltyp) ! ! Element type: CPE3 or CPS3 or CPE6R or CPS6R ! Use the same interpolation functions for the reduced elements case('CPE3', 'CPS3', 'CPE6R', 'CPS6R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! Number of dimensions of the problem numdim = 2 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 3 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Element type: CPE4R or CPS4R ! Use the same interpolation functions for the reduced elements case('CPE4R', 'CPS4R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! Number of dimensions of the problem numdim = 2 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Element type: CPE4 or CPS4 or CPE8R or CPS8R ! Use the same interpolation functions for the reduced elements case('CPE4', 'CPS4', 'CPE8R', 'CPS8R') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=1. ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Gauss points GPcoords_CP4 = 0. GPcoords_CP4(1,:) = (/ -1., -1. /) GPcoords_CP4(2,:) = (/ 1., -1. /) GPcoords_CP4(3,:) = (/ -1., 1. /) GPcoords_CP4(4,:) = (/ 1., 1. /) GPcoords_CP4 = GPcoords_CP4/sqrt(3.) ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! ! Gauss point coordinates g = GPcoords_CP4(ipt,1) h = GPcoords_CP4(ipt,2) ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Shape function mapping Nmat_CP4(ipt,1:nnpel) = N_CP4 ! ! Shape function derivative dNmat_CP4(ipt,1:numdim,1:nnpel) = dN_CP4 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP4,invNmat_CP4,4) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Assign the center value dNmatc_CP4 = dN_CP4 ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP4(:,:) dNmat(:,:,:) = dNmat_CP4(:,:,:) invNmat(:,:) = invNmat_CP4(:,:) dNmatc(:,:) = dNmatc_CP4(:,:) ! ! ! Element type: CPE6 or CPS6 case('CPE6', 'CPS6') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1./6. ! ! ! ! ! Gauss points GPcoords_CP6 = 0. GPcoords_CP6(1,:) = (/ 1./6., 1./6. /) GPcoords_CP6(2,:) = (/ 2./3., 1./6. /) GPcoords_CP6(3,:) = (/ 1./6., 2./3. /) ! ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 3 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Use CP3 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP6(ipt,1) h = GPcoords_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3) ! ! Shape function mapping Nmat_CP3(ipt,1:nnpel) = N_CP3 ! ! Shape function derivative dNmat_CP3(ipt,1:numdim,1:nnpel) = dN_CP3 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP3,invNmat_CP3,3) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3) ! ! Assign the center value dNmatc_CP3 = dN_CP3 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP3(:,:) dNmat(:,:,:) = dNmat_CP3(:,:,:) invNmat(:,:) = invNmat_CP3(:,:) dNmatc(:,:) = dNmatc_CP3(:,:) ! ! ! ! ! Quadratic interpolation functions else ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! Number of nodes per element nnpel = 6 ! ! Number of nodes per the sub element nnpel_sub = 3 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_CP6 = 0. GPcoords_sub_CP6(1,:) = (/ 5./12., 1./6. /) GPcoords_sub_CP6(2,:) = (/ 5./12., 5./12. /) GPcoords_sub_CP6(3,:) = (/ 1./6., 5./12. /) ! ! Local coordinates (in its linear form) GPcoords_sub_CP3 = 0. GPcoords_sub_CP3(1,:) = (/ 1./2., 0. /) GPcoords_sub_CP3(2,:) = (/ 1./2., 1./2. /) GPcoords_sub_CP3(3,:) = (/ 0., 1./2. /) ! ! ! ! Use CP6 (quadratic) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP6(ipt,1) h = GPcoords_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Shape function mapping Nmat_CP6(ipt,1:nnpel) = N_CP6 ! ! Shape function derivative dNmat_CP6(ipt,1:numdim,1:nnpel) = dN_CP6 ! end do ! ! ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_CP6(ipt,1) h = GPcoords_sub_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Shape function mapping Nmat_CP6(numpt+ipt,1:nnpel) = N_CP6 ! ! ! ! Gauss point coordinates - local g = GPcoords_sub_CP3(ipt,1) h = GPcoords_sub_CP3(ipt,2) ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel_sub,numdim,g,h,N_CP3,dN_CP3) ! ! Shape function mapping Nmat_CP3(ipt,1:nnpel_sub) = N_CP3 ! ! ! end do ! ! IPmap_CP6=0. ! Identity matrix do i=1,numpt IPmap_CP6(i,i)=1. end do IPmap_CP6(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_CP3 ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP6,coeff_CP6,6) ! ! invNmat_CP6 = matmul(coeff_CP6,IPmap_CP6) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Assign the center value dNmatc_CP6 = dN_CP6 ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP6(:,:) dNmat(:,:,:) = dNmat_CP6(:,:,:) invNmat(:,:) = invNmat_CP6(:,:) dNmatc(:,:) = dNmatc_CP6(:,:) ! ! ! ! ! endif ! ! ! ! ! ! Element type: CPE8 or CPS8 case('CPE8', 'CPS8') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! Integration weights allocate(ipweights(numpt)) ipweights=0. ! ipweights(1) = 0.308641975308642 ipweights(2) = 0.493827160493827 ipweights(3) = 0.308641975308642 ipweights(4) = 0.493827160493827 ipweights(5) = 0.790123456790124 ipweights(6) = 0.493827160493827 ipweights(7) = 0.308641975308642 ipweights(8) = 0.493827160493827 ipweights(9) = 0.308641975308642 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Gauss points GPcoords_CP8 = 0. GPcoords_CP8(1,:) = (/ -1., -1. /) GPcoords_CP8(2,:) = (/ 0., -1. /) GPcoords_CP8(3,:) = (/ 1., -1. /) GPcoords_CP8(4,:) = (/ -1., 0. /) GPcoords_CP8(5,:) = (/ 0., 0. /) GPcoords_CP8(6,:) = (/ 1., 0. /) GPcoords_CP8(7,:) = (/ -1., 1. /) GPcoords_CP8(8,:) = (/ 0., 1. /) GPcoords_CP8(9,:) = (/ 1., 1. /) GPcoords_CP8 = sqrt(0.6) * GPcoords_CP8 ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 4 ! ! ! Use CP4 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP8(ipt,1) h = GPcoords_CP8(ipt,2) ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Shape function mapping Nmat_CP8lin(ipt,1:nnpel) = N_CP4 ! ! Shape function derivative dNmat_CP8lin(ipt,1:numdim,1:nnpel) = dN_CP4 ! end do ! ! ! Make Nmat a square matrix NTN_CP8lin = matmul(transpose(Nmat_CP8lin),Nmat_CP8lin) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_CP8lin,coeff_CP8lin,4) ! ! Overall mapping for mapping from IPs to nodes invNmat_CP8lin=matmul(coeff_CP8lin,transpose(Nmat_CP8lin)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Assign the center value dNmatc_CP8lin = dN_CP4 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP8lin(:,:) dNmat(:,:,:) = dNmat_CP8lin(:,:,:) invNmat(:,:) = invNmat_CP8lin(:,:) dNmatc(:,:) = dNmatc_CP8lin(:,:) ! ! ! ! else ! ! ! ! ! Number of nodes per element nnpel = 8 ! ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP8(ipt,1) h = GPcoords_CP8(ipt,2) ! ! Calculate shape functions and their derivatives call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8) ! ! Shape function mapping Nmat_CP8(ipt,1:nnpel) = N_CP8 ! ! Shape function derivative dNmat_CP8(ipt,1:numdim,1:nnpel) = dN_CP8 ! end do ! ! Make Nmat a square matrix NTN_CP8 = matmul(transpose(Nmat_CP8),Nmat_CP8) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_CP8,coeff_CP8,8) ! ! Overall mapping for mapping from IPs to nodes invNmat_CP8 = matmul(coeff_CP8,transpose(Nmat_CP8)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8) ! ! Assign the center value dNmatc_CP8 = dN_CP8 ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP8(:,:) dNmat(:,:,:) = dNmat_CP8(:,:,:) invNmat(:,:) = invNmat_CP8(:,:) dNmatc(:,:) = dNmatc_CP8(:,:) ! ! end if ! ! case('C3D4') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! case('C3D6') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 6 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! case('C3D8R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 8 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! ! Element type: C3D8 or C3D20R ! Use the same interpolation functions for the reduced element case('C3D8','C3D20R') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! Number of nodes per element nnpel = 8 ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1. ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Gauss points GPcoords_C3D8 = 0. GPcoords_C3D8(1,:) = (/ -1., -1., -1. /) GPcoords_C3D8(2,:) = (/ 1., -1., -1. /) GPcoords_C3D8(3,:) = (/ -1., 1., -1. /) GPcoords_C3D8(4,:) = (/ 1., 1., -1. /) GPcoords_C3D8(5,:) = (/ -1., -1., 1. /) GPcoords_C3D8(6,:) = (/ 1., -1., 1. /) GPcoords_C3D8(7,:) = (/ -1., 1., 1. /) GPcoords_C3D8(8,:) = (/ 1., 1., 1. /) GPcoords_C3D8 = GPcoords_C3D8/sqrt(3.) ! ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D8(ipt,1) h = GPcoords_C3D8(ipt,2) r = GPcoords_C3D8(ipt,3) ! ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! ! ! Shape function mapping Nmat_C3D8(ipt,1:nnpel) = N_C3D8 ! ! ! ! Shape function derivative dNmat_C3D8(ipt,1:numdim,1:nnpel) = dN_C3D8 ! ! end do ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D8,invNmat_C3D8,8) ! ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Assign the center value dNmatc_C3D8 = dN_C3D8 ! ! ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D8(:,:) dNmat(:,:,:) = dNmat_C3D8(:,:,:) invNmat(:,:) = invNmat_C3D8(:,:) dNmatc(:,:) = dNmatc_C3D8(:,:) ! ! ! ! ! ! Element type: C3D10 case('C3D10') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1./4./6. ! ! Gauss points a = 0.138196601125010 b = 0.585410196624968 ! ! GPcoords_C3D10 = 0. GPcoords_C3D10(1,:) = (/ a, a, a /) GPcoords_C3D10(2,:) = (/ b, a, a /) GPcoords_C3D10(3,:) = (/ a, b, a /) GPcoords_C3D10(4,:) = (/ a, a, b /) ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 4 ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Use C3D4 (linear) element function write(*,*) 'Linear interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D10(ipt,1) h = GPcoords_C3D10(ipt,2) r = GPcoords_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Shape function mapping Nmat_C3D4(ipt,1:nnpel) = N_C3D4 ! ! Shape function derivative dNmat_C3D4(ipt,1:numdim,1:nnpel) = dN_C3D4 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D4,invNmat_C3D4,4) ! ! ! Shape function derivatives at the element center g = 1./4. h = 1./4. r = 1./4. ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Assign the center value dNmatc_C3D4 = dN_C3D4 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D4(:,:) dNmat(:,:,:) = dNmat_C3D4(:,:,:) invNmat(:,:) = invNmat_C3D4(:,:) dNmatc(:,:) = dNmatc_C3D4(:,:) ! ! ! ! ! Quadratic interpolation functions else ! ! Number of nodes per element nnpel = 10 ! ! Number of nodes per the sub element nnpel_sub = 4 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_C3D10 = 0. do i=1,numdim GPcoords_sub_C3D10(1,i) = + 0.5*(GPcoords_C3D10(1,i)+GPcoords_C3D10(2,i)) GPcoords_sub_C3D10(2,i) = + 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(3,i)) GPcoords_sub_C3D10(3,i) = + 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(1,i)) GPcoords_sub_C3D10(4,i) = + 0.5*(GPcoords_C3D10(4,i)+GPcoords_C3D10(1,i)) GPcoords_sub_C3D10(5,i) = + 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(4,i)) GPcoords_sub_C3D10(6,i) = + 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(4,i)) end do ! ! ! Local coordinates (in its linear form) GPcoords_sub_C3D4 = 0. GPcoords_sub_C3D4(1,:) = (/ 0.5, 0., 0. /) GPcoords_sub_C3D4(2,:) = (/ 0.5, 0.5, 0. /) GPcoords_sub_C3D4(3,:) = (/ 0., 0.5, 0. /) GPcoords_sub_C3D4(4,:) = (/ 0., 0., 0.5 /) GPcoords_sub_C3D4(5,:) = (/ 0.5, 0., 0.5 /) GPcoords_sub_C3D4(6,:) = (/ 0., 0.5, 0.5 /) ! ! ! ! ! ! Use C3D10 (quadratic) element function write(*,*) 'Quadratic interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D10(ipt,1) h = GPcoords_C3D10(ipt,2) r = GPcoords_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Shape function mapping Nmat_C3D10(ipt,1:nnpel) = N_C3D10 ! ! Shape function derivative dNmat_C3D10(ipt,1:numdim,1:nnpel) = dN_C3D10 ! ! end do ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_C3D10(ipt,1) h = GPcoords_sub_C3D10(ipt,2) r = GPcoords_sub_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Shape function mapping Nmat_C3D10(numpt+ipt,1:nnpel) = N_C3D10 ! ! ! Gauss point coordinates - local g = GPcoords_sub_C3D4(ipt,1) h = GPcoords_sub_C3D4(ipt,2) r = GPcoords_sub_C3D4(ipt,3) ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel_sub,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Shape function mapping Nmat_sub_C3D4(ipt,1:nnpel_sub) = N_C3D4 ! ! end do ! ! ! Identity matrix IPmap_C3D10 = 0. do i=1,numpt IPmap_C3D10(i,i)=1. end do ! IPmap_C3D10(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_sub_C3D4 ! ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D10,coeff_C3D10,10) ! ! ! invNmat_C3D10 = matmul(coeff_C3D10,IPmap_C3D10) ! ! ! Shape function derivatives at the element center g = 1./4. h = 1./4. r = 1./4. ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Assign the center value dNmatc_C3D10 = dN_C3D10 ! ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D10(:,:) dNmat(:,:,:) = dNmat_C3D10(:,:,:) invNmat(:,:) = invNmat_C3D10(:,:) dNmatc(:,:) = dNmatc_C3D10(:,:) ! ! ! ! ! ! ! ! endif ! ! ! ! Element type: C3D15 case('C3D15') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights=1./6./3. ! ! ! ! Isoparametric coordinate (r-axis) a = 0.774596669241483 ! ! GPcoords_C3D15 = 0. GPcoords_C3D15(2,:) = (/ 2./3., 1./6., -1. /) GPcoords_C3D15(1,:) = (/ 1./6., 1./6., -1. /) GPcoords_C3D15(3,:) = (/ 1./6., 2./3., -1. /) GPcoords_C3D15(5,:) = (/ 2./3., 1./6., 0. /) GPcoords_C3D15(4,:) = (/ 1./6., 1./6., 0. /) GPcoords_C3D15(6,:) = (/ 1./6., 2./3., 0. /) GPcoords_C3D15(8,:) = (/ 2./3., 1./6., 1. /) GPcoords_C3D15(7,:) = (/ 1./6., 1./6., 1. /) GPcoords_C3D15(9,:) = (/ 1./6., 2./3., 1. /) ! GPcoords_C3D15(:,3) = GPcoords_C3D15(:,3) * a ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 6 ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! Use C3D6 (linear) element function write(*,*) 'Linear interpolation will be used for GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D15(ipt,1) h = GPcoords_C3D15(ipt,2) r = GPcoords_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Shape function mapping Nmat_C3D6(ipt,1:nnpel) = N_C3D6 ! ! Shape function derivative dNmat_C3D6(ipt,1:numdim,1:nnpel) = dN_C3D6 ! end do ! ! NTN_C3D6 = matmul(transpose(Nmat_C3D6),Nmat_C3D6) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D6,coeff_C3D6,6) ! ! invNmat_C3D6 = matmul(coeff_C3D6,transpose(Nmat_C3D6)) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. r = 0. ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Assign the center value dNmatc_C3D6 = dN_C3D6 ! ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D6(:,:) dNmat(:,:,:) = dNmat_C3D6(:,:,:) invNmat(:,:) = invNmat_C3D6(:,:) dNmatc(:,:) = dNmatc_C3D6(:,:) ! ! ! ! ! ! ! ! Quadratic interpolation functions else ! ! Number of nodes per element nnpel = 15 ! ! Number of nodes of the sub-element nnpel_sub = 6 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_C3D15 = 0. do i=1,numdim GPcoords_sub_C3D15(1,i) = + 0.5*(GPcoords_C3D15(1,i)+GPcoords_C3D15(2,i)) GPcoords_sub_C3D15(2,i) = + 0.5*(GPcoords_C3D15(2,i)+GPcoords_C3D15(3,i)) GPcoords_sub_C3D15(3,i) = + 0.5*(GPcoords_C3D15(3,i)+GPcoords_C3D15(1,i)) GPcoords_sub_C3D15(4,i) = + 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(8,i)) GPcoords_sub_C3D15(5,i) = + 0.5*(GPcoords_C3D15(8,i)+GPcoords_C3D15(9,i)) GPcoords_sub_C3D15(6,i) = + 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(9,i)) end do ! ! ! Local coordinates (in its linear form) GPcoords_sub_C3D6 = 0. GPcoords_sub_C3D6(1,:) = (/ 0.5, 0., -1. /) GPcoords_sub_C3D6(2,:) = (/ 0.5, 0.5, -1. /) GPcoords_sub_C3D6(3,:) = (/ 0., 0.5, -1. /) GPcoords_sub_C3D6(4,:) = (/ 0.5, 0., 1. /) GPcoords_sub_C3D6(5,:) = (/ 0.5, 0.5, 1. /) GPcoords_sub_C3D6(6,:) = (/ 0., 0.5, 1. /) ! ! ! ! ! ! Use C3D15 (quadratic) element function write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D15(ipt,1) h = GPcoords_C3D15(ipt,2) r = GPcoords_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Shape function mapping Nmat_C3D15(ipt,1:nnpel) = N_C3D15 ! ! Shape function derivative dNmat_C3D15(ipt,1:numdim,1:nnpel) = dN_C3D15 ! ! end do ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_C3D15(ipt,1) h = GPcoords_sub_C3D15(ipt,2) r = GPcoords_sub_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Shape function mapping Nmat_C3D15(numpt+ipt,1:nnpel) = N_C3D15 ! ! ! ! ! Gauss point coordinates - local g = GPcoords_sub_C3D6(ipt,1) h = GPcoords_sub_C3D6(ipt,2) r = GPcoords_sub_C3D6(ipt,3) ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel_sub,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Shape function mapping Nmat_sub_C3D6(ipt,1:nnpel_sub) = N_C3D6 ! ! ! end do ! ! ! Identity matrix IPmap_C3D15=0. do i=1,numpt IPmap_C3D15(i,i)=1. end do IPmap_C3D15(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_sub_C3D6 ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D15,coeff_C3D15,15) ! ! invNmat_C3D15 = matmul(coeff_C3D15,IPmap_C3D15) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. r = 0. ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Assign the center value dNmatc_C3D15 = dN_C3D15 ! ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D15(:,:) dNmat(:,:,:) = dNmat_C3D15(:,:,:) invNmat(:,:) = invNmat_C3D15(:,:) dNmatc(:,:) = dNmatc_C3D15(:,:) ! ! ! ! ! ! endif ! ! ! ! ! ! ! Element type: C3D20 case('C3D20') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ipweights(1) = 0.171467764060357 ipweights(2) = 0.274348422496571 ipweights(3) = 0.171467764060357 ipweights(4) = 0.274348422496571 ipweights(5) = 0.438957475994513 ipweights(6) = 0.274348422496571 ipweights(7) = 0.171467764060357 ipweights(8) = 0.274348422496571 ipweights(9) = 0.171467764060357 ipweights(10) = 0.274348422496571 ipweights(11) = 0.438957475994513 ipweights(12) = 0.274348422496571 ipweights(13) = 0.438957475994513 ipweights(14) = 0.702331961591221 ipweights(15) = 0.438957475994513 ipweights(16) = 0.274348422496571 ipweights(17) = 0.438957475994513 ipweights(18) = 0.274348422496571 ipweights(19) = 0.171467764060357 ipweights(20) = 0.274348422496571 ipweights(21) = 0.171467764060357 ipweights(22) = 0.274348422496571 ipweights(23) = 0.438957475994513 ipweights(24) = 0.274348422496571 ipweights(25) = 0.171467764060357 ipweights(26) = 0.274348422496571 ipweights(27) = 0.171467764060357 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! GPcoords_C3D20 = 0. GPcoords_C3D20(1,:)= (/ -1., -1., -1. /) GPcoords_C3D20(2,:)= (/ 0., -1., -1. /) GPcoords_C3D20(3,:)= (/ 1., -1., -1. /) GPcoords_C3D20(4,:)= (/ -1., 0., -1. /) GPcoords_C3D20(5,:)= (/ 0., 0., -1. /) GPcoords_C3D20(6,:)= (/ 1., 0., -1. /) GPcoords_C3D20(7,:)= (/ -1., 1., -1. /) GPcoords_C3D20(8,:)= (/ 0., 1., -1. /) GPcoords_C3D20(9,:)= (/ 1., 1., -1. /) GPcoords_C3D20(10,:)= (/ -1., -1., 0. /) GPcoords_C3D20(11,:)= (/ 0., -1., 0. /) GPcoords_C3D20(12,:)= (/ 1., -1., 0. /) GPcoords_C3D20(13,:)= (/ -1., 0., 0. /) GPcoords_C3D20(14,:)= (/ 0., 0., 0. /) GPcoords_C3D20(15,:)= (/ 1., 0., 0. /) GPcoords_C3D20(16,:)= (/ -1., 1., 0. /) GPcoords_C3D20(17,:)= (/ 0., 1., 0. /) GPcoords_C3D20(18,:)= (/ 1., 1., 0. /) GPcoords_C3D20(19,:)= (/ -1., -1., 1. /) GPcoords_C3D20(20,:)= (/ 0., -1., 1. /) GPcoords_C3D20(21,:)= (/ 1., -1., 1. /) GPcoords_C3D20(22,:)= (/ -1., 0., 1. /) GPcoords_C3D20(23,:)= (/ 0., 0., 1. /) GPcoords_C3D20(24,:)= (/ 1., 0., 1. /) GPcoords_C3D20(25,:)= (/ -1., 1., 1. /) GPcoords_C3D20(26,:)= (/ 0., 1., 1. /) GPcoords_C3D20(27,:)= (/ 1., 1., 1. /) GPcoords_C3D20 = GPcoords_C3D20 * sqrt(0.6) ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 8 ! ! ! ! ! Use C3D8 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D20(ipt,1) h = GPcoords_C3D20(ipt,2) r = GPcoords_C3D20(ipt,3) ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Shape function mapping Nmat_C3D20lin(ipt,1:nnpel) = N_C3D8 ! ! Shape function derivative dNmat_C3D20lin(ipt,1:numdim,1:nnpel) = dN_C3D8 ! end do ! ! ! Make Nmat a square matrix NTN_C3D20lin = + matmul(transpose(Nmat_C3D20lin),Nmat_C3D20lin) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D20lin,coeff_C3D20lin,8) ! ! Overall mapping for mapping from IPs to nodes invNmat_C3D20lin = + matmul(coeff_C3D20lin,transpose(Nmat_C3D20lin)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Assign the center value dNmatc_C3D20lin = dN_C3D8 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D20lin(:,:) dNmat(:,:,:) = dNmat_C3D20lin(:,:,:) invNmat(:,:) = invNmat_C3D20lin(:,:) dNmatc(:,:) = dNmatc_C3D20lin(:,:) ! ! ! ! else ! ! ! ! ! Number of nodes per element nnpel = 20 ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D20(ipt,1) h = GPcoords_C3D20(ipt,2) r = GPcoords_C3D20(ipt,3) ! ! Calculate shape functions and their derivatives call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20) ! ! Shape function mapping Nmat_C3D20(ipt,1:nnpel) = N_C3D20 ! ! Shape function derivative dNmat_C3D20(ipt,1:numdim,1:nnpel) = dN_C3D20 ! end do ! ! ! Make Nmat a square matrix NTN_C3D20 = matmul(transpose(Nmat_C3D20),Nmat_C3D20) ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D20,coeff_C3D20,20) ! ! Overall mapping to map from the IPs to the nodes invNmat_C3D20 = matmul(coeff_C3D20,transpose(Nmat_C3D20)) ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20) ! ! Assign the center value dNmatc_C3D20 = dN_C3D20 ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D20(:,:) dNmat(:,:,:) = dNmat_C3D20(:,:,:) invNmat(:,:) = invNmat_C3D20(:,:) dNmatc(:,:) = dNmatc_C3D20(:,:) ! ! end if ! ! ! case default ! call error(2) ! ! end select ! ! write(*,*) 'Dimension of the analysis: ', numdim write(*,*) 'Number of integration points per element: ', numpt ! write(*,*) 'Number of nodes per element: ', nnpel ! ! ! return end subroutine feprop ! ! ! ! Find the number of nodes for displacement analysis (not for GND analysis) subroutine findelementtype(numtens,numpt,eltyp) implicit none integer, intent(in) :: numtens integer, intent(in) :: numpt character(len=:), allocatable, intent(out) :: eltyp ! ! ! Determine the element type ! Based on the dimension of the problem (numdim=ntens) ! ! Dimension of the problem (2D-plane stress) if (numtens==3) then ! select case(numpt) ! ! 2D - CPS3 / CPS6R / CPS4R case(1) ! eltyp = 'CPS3' ! ! 2D - CPS4 / CPS8R case(4) ! eltyp = 'CPS4' ! ! 2D - CPS6 case(3) ! eltyp = 'CPS6' ! ! 2D - 8 node quadratic quadrilateral case(9) ! eltyp = 'CPS8' ! end select ! ! Dimension of the problem (2D - Plane strain) elseif (numtens==4) then ! select case(numpt) ! ! 2D - CPS3 / CPS6R / CPS4R case(1) ! eltyp = 'CPE3' ! ! 2D - CPS4 / CPS8R case(4) ! eltyp = 'CPE4' ! ! 2D - CPS6 case(3) ! eltyp = 'CPE6' ! ! 2D - 8 node quadratic quadrilateral case(9) ! eltyp = 'CPE8' ! end select ! ! ! Dimension of the problem (3D) elseif (numtens==6) then ! select case(numpt) ! ! 3D - C3D4 / C3D8R / C3D10R case(1) ! eltyp = 'C3D4' ! ! 3D - C3D6 / C3D15R case(2) ! eltyp = 'C3D6' ! ! 3D - C3D8 / C3D20R case(8) ! eltyp = 'C3D8' ! ! 3D - C3D10 case(4) ! eltyp = 'C3D10' ! ! 3D - C3D15 case(9) ! eltyp = 'C3D15' ! ! 3D - C3D20 case(27) ! eltyp = 'C3D20' ! end select ! end if ! write(*,*) 'Element type identified as: ', eltyp ! return end subroutine findelementtype ! ! ! Contains the element-by-element initializations ! Done only once at the first run subroutine initialize_gradientoperators use globalvariables, only : numel, + numdim, numpt, nnpel, gradip2ip, ipweights, + ipcoords, ipdomain, Nmat, invNmat, dNmat, dNmatc use userinputs, only : gndlinear use utilities, only: nolapinverse, inv2x2, inv3x3 implicit none ! Gauss point coordinates in sample reference real(8) :: xIP(numpt,numdim) ! Node point coordinates real(8) :: xnode(nnpel,numdim) ! Jacobian transpose real(8) :: JT(numdim,numdim) ! Jacobian inverse transpose real(8) :: invJT(numdim,numdim) ! Determinant of the inversion real(8) :: det ! Gradient operator real(8) :: grad(numdim,nnpel) ! Overall mapping real(8) :: grad_invN(numdim,numpt) ! Element number and ip number integer :: iel, ipt ! ! ! ! ! Loop through each element do iel = 1, numel ! ! ! ! Vectorize element ipcoordinates xIP = 0. do ipt = 1, numpt ! xIP(ipt,1:numdim) = ipcoords(iel,ipt,1:numdim) ! end do ! ! ! ! ! xnode = matmul(invNmat,xIP) ! ! ! ! ! ! For each integration point do ipt = 1, numpt ! ! ! Calculate jacobian (transpose) for isoparametric space to real reference JT = matmul(dNmat(ipt,1:numdim,1:nnpel),xnode) ! ! ! ! ! Invert the Jacobian if (numdim==2) then ! call inv2x2(JT,invJT,det) ! elseif (numdim==3) then ! call inv3x3(JT,invJT,det) ! endif ! ! ! IP domain size ipdomain(iel,ipt) = det * ipweights(ipt) ! ! ! ! Gradient operator grad = matmul(invJT,dNmat(ipt,1:numdim,1:nnpel)) ! ! ! ! Overall mapping grad_invN = matmul(grad,invNmat) ! ! ! ! ! Store gradip2ip(iel,ipt,1:numdim,1:numpt) = grad_invN ! ! ! ! ! end do ! ! write(*,*) 'vol: ', sum(ipdomain(iel,:)) ! write(*,*) '******************' ! ! For the center of the element ! ! Calculate jacobian (transpose) for isoparametric space to real reference JT = matmul(dNmatc,xnode) ! ! Invert the Jacobian if (numdim==2) then ! call inv2x2(JT,invJT,det) ! elseif (numdim==3) then ! call inv3x3(JT,invJT,det) ! endif ! ! ! Gradient operator grad = matmul(invJT,dNmatc) ! ! ! Overall mapping grad_invN = matmul(grad, invNmat) ! ! Store gradip2ip(iel,numpt+1,1:numdim,1:numpt) = grad_invN ! ! ! ! ! end do ! ! return end subroutine initialize_gradientoperators ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE3 or CPS3 subroutine CP3_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP3 element N(1) = 1. - g - h ! N(2) = g ! N(3) = h ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = -1. ! dN(1,2) = 1. ! dN(1,3) = 0. ! ! dN_dh dN(2,1) = -1. ! dN(2,2) = 0. ! dN(2,3) = 1. ! ! ! ! return end subroutine CP3_N_dN ! ! ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE4 or CPS4 or CPE8R or CPS8R subroutine CP4_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP4 element N(1) = (1. - g) * (1. - h) / 4. ! N(2) = (1. + g) * (1. - h) / 4. ! N(3) = (1. + g) * (1. + h) / 4. ! N(4) = (1. - g) * (1. + h) / 4. ! ! ! ! ! Shape function derivatives wrt natural coords for CP4 element ! ! dN_dg dN(1,1) = -1. * (1. - h) / 4. ! dN(1,2) = 1. * (1. - h) / 4. ! dN(1,3) = 1. * (1. + h) / 4. ! dN(1,4) = -1. * (1. + h) / 4. ! ! dN_dh dN(2,1) = (1. - g) * -1. / 4. ! dN(2,2) = (1. + g) * -1. / 4. ! dN(2,3) = (1. + g) * 1. / 4. dN(2,4) = (1. - g) * 1. / 4. ! ! ! ! ! return end subroutine CP4_N_dN ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE6 or CPS6 subroutine CP6_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP6 element N(1) = 2. * (0.5 - g - h) * (1. - g - h) ! N(2) = 2. * g * (g - 0.5) ! N(3) = 2. * h * (h - 0.5) ! N(4) = 4. * g * (1. - g - h) ! N(5) = 4. * g * h ! N(6) = 4. * h * (1. - g - h) ! ! ! ! ! Shape function derivatives wrt natural coords for C3D4 element ! dN_dg dN(1,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.) ! dN(1,2) = 2. * (1.) * (g - 0.5) + 2. * g * (1.) ! dN(1,3) = 0. ! dN(1,4) = 4. * (1.) * (1. - g - h) + 4. * g * (-1.) ! dN(1,5) = 4. * (1.) * h ! dN(1,6) = 4. * h * (-1.) ! ! dN_dh dN(2,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.) ! dN(2,2) = 0. ! dN(2,3) = 2. * (1.) * (h - 0.5) + 2. * h * (1.) ! dN(2,4) = 4. * g * (-1.) ! dN(2,5) = 4. * g * (1.) ! dN(2,6) = 4. * (1.) * (1. - g - h) + 4. * h * (-1.) ! ! ! ! return end subroutine CP6_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE8 or CPS8 subroutine CP8_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP8 element N(1) = -1./4. * (1. - g) * (1. - h) * (1. + g + h) ! N(2) = -1./4. * (1. + g) * (1. - h) * (1. - g + h) ! N(3) = -1./4. * (1. + g) * (1. + h) * (1. - g - h) ! N(4) = -1./4. * (1. - g) * (1. + h) * (1. + g - h) ! N(5) = 1./2. * (1. - g) * (1. + g) * (1. - h) ! N(6) = 1./2. * (1. - h) * (1. + h) * (1. + g) ! N(7) = 1./2. * (1. - g) * (1. + g) * (1. + h) ! N(8) = 1./2. * (1. - h) * (1. + h) * (1. - g) ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP8 element ! dN_dg dN(1,1) = (-1./4.) * (-1.) * (1. - h) * (1. + g + h) + + (-1./4.) * (1. - g) * (1. - h) * (1.) ! dN(1,2) = (-1./4.) * (1.) * (1. - h) * (1. - g + h) + + (-1./4.) * (1. + g) * (1. - h) * (-1.) ! dN(1,3) = (-1./4.) * (1.) * (1. + h) * (1. - g - h) + + (-1./4.) * (1. + g) * (1. + h) * (-1.) ! dN(1,4) = (-1./4.) * (-1.) * (1. + h) * (1. + g - h) + + (-1./4.) * (1. - g) * (1. + h) * (1.) ! dN(1,5) = 1./2. * (-1.) * (1. + g) * (1. - h) + + 1./2. * (1. - g) * (1.) * (1. - h) ! dN(1,6) = 1./2. * (1. - h) * (1. + h) * (1.) ! dN(1,7) = 1./2. * (-1.) * (1. + g) * (1. + h) + + 1./2. * (1. - g) * (1.) * (1. + h) ! dN(1,8) = 1./2. * (1. - h) * (1. + h) * (-1.) ! ! ! ! dN_dh dN(2,1) = (-1./4.) * (1. - g) * (-1.) * (1. + g + h) + + (-1./4.) * (1. - g) * (1. - h) * (1.) ! dN(2,2) = (-1./4.) * (1. + g) * (-1.) * (1. - g + h) + + (-1./4.) * (1. + g) * (1. - h) * (1.) ! dN(2,3) = (-1./4.) * (1. + g) * (1.) * (1. - g - h) + + (-1./4.) * (1. + g) * (1. + h) * (-1.) dN(2,4) = (-1./4.) * (1. - g) * (1.) * (1. + g - h) + + (-1./4.) * (1. - g) * (1. + h) * (-1.) ! dN(2,5) = 1./2. * (1. - g) * (1. + g) * (-1.) ! dN(2,6) = 1./2. * (-1.) * (1. + h) * (1. + g) + + 1./2. * (1. - h) * (1.) * (1. + g) ! dN(2,7) = 1./2. * (1. - g) * (1. + g) * (1.) ! dN(2,8) = 1./2. * (-1.) * (1. + h) * (1. - g) + + 1./2. * (1. - h) * (1.) * (1. - g) ! ! ! ! ! ! return end subroutine CP8_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D4 subroutine C3D4_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP3 element N(1) = 1. - h - r - g ! N(2) = g ! N(3) = h ! N(4) = r ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = -1. ! dN(1,2) = 1. ! dN(1,3) = 0. ! dN(1,4) = 0. ! ! ! dN_dh dN(2,1) = -1. ! dN(2,2) = 0. ! dN(2,3) = 1. ! dN(2,4) = 0. ! ! ! dN_dr dN(3,1) = -1. ! dN(3,2) = 0. ! dN(3,3) = 0. ! dN(3,4) = 1. ! ! ! ! ! ! return end subroutine C3D4_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D6 subroutine C3D6_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D6 element N(1) = 1./2.*(1.-g-h)*(1.-r) ! N(2) = 1./2.*g*(1.-r) ! N(3) = 1./2.*h*(1.-r) ! N(4) = 1./2.*(1.-g-h)*(1.+r) ! N(5) = 1./2.*g*(1.+r) ! N(6) = 1./2.*h*(1.+r) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = 1./2.*(-1.)*(1.-r) ! dN(1,2) = 1./2.*(1.)*(1.-r) ! dN(1,3) = 0. ! dN(1,4) = 1./2.*(-1.)*(1.+r) ! dN(1,5) = 1./2.*(1.)*(1.+r) ! dN(1,6) = 0. ! ! ! ! dN_dh dN(2,1) = 1./2.*(-1.)*(1.-r) ! dN(2,2) = 0. ! dN(2,3) = 1./2.*(1.)*(1.-r) ! dN(2,4) = 1./2.*(-1.)*(1.+r) ! dN(2,5) = 0. ! dN(2,6) = 1./2.*(1.)*(1.+r) ! ! ! ! dN_dr dN(3,1) = 1./2.*(1.-g-h)*(-1.) ! dN(3,2) = 1./2.*g*(-1.) ! dN(3,3) = 1./2.*h*(-1.) ! dN(3,4) = 1./2.*(1.-g-h)*(1.) ! dN(3,5) = 1./2.*g*(1.) ! dN(3,6) = 1./2.*h*(1.) ! ! ! ! ! ! return end subroutine C3D6_N_dN ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D8 subroutine C3D8_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D8 element N(1) = 1./8.*(1.-g)*(1.-h)*(1.-r) ! N(2) = 1./8.*(1.+g)*(1.-h)*(1.-r) ! N(3) = 1./8.*(1.+g)*(1.+h)*(1.-r) ! N(4) = 1./8.*(1.-g)*(1.+h)*(1.-r) ! N(5) = 1./8.*(1.-g)*(1.-h)*(1.+r) ! N(6) = 1./8.*(1.+g)*(1.-h)*(1.+r) ! N(7) = 1./8.*(1.+g)*(1.+h)*(1.+r) ! N(8) = 1./8.*(1.-g)*(1.+h)*(1.+r) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D8 element ! dN_dg dN(1,1) = 1./8.*(-1.)*(1.-h)*(1.-r) ! dN(1,2) = 1./8.*(1.)*(1.-h)*(1.-r) ! dN(1,3) = 1./8.*(1.)*(1.+h)*(1.-r) ! dN(1,4) = 1./8.*(-1.)*(1.+h)*(1.-r) ! dN(1,5) = 1./8.*(-1.)*(1.-h)*(1.+r) ! dN(1,6) = 1./8.*(1.)*(1.-h)*(1.+r) ! dN(1,7) = 1./8.*(1.)*(1.+h)*(1.+r) ! dN(1,8) = 1./8.*(-1.)*(1.+h)*(1.+r) ! ! ! ! ! dN_dh dN(2,1) = 1./8.*(1.-g)*(-1.)*(1.-r) ! dN(2,2) = 1./8.*(1.+g)*(-1.)*(1.-r) ! dN(2,3) = 1./8.*(1.+g)*(1.)*(1.-r) ! dN(2,4) = 1./8.*(1.-g)*(1.)*(1.-r) ! dN(2,5) = 1./8.*(1.-g)*(-1.)*(1.+r) ! dN(2,6) = 1./8.*(1.+g)*(-1.)*(1.+r) ! dN(2,7) = 1./8.*(1.+g)*(1.)*(1.+r) ! dN(2,8) = 1./8.*(1.-g)*(1.)*(1.+r) ! ! ! dN_dr dN(3,1) = 1./8.*(1.-g)*(1.-h)*(-1.) ! dN(3,2) = 1./8.*(1.+g)*(1.-h)*(-1.) ! dN(3,3) = 1./8.*(1.+g)*(1.+h)*(-1.) ! dN(3,4) = 1./8.*(1.-g)*(1.+h)*(-1.) ! dN(3,5) = 1./8.*(1.-g)*(1.-h)*(1.) ! dN(3,6) = 1./8.*(1.+g)*(1.-h)*(1.) ! dN(3,7) = 1./8.*(1.+g)*(1.+h)*(1.) ! dN(3,8) = 1./8.*(1.-g)*(1.+h)*(1.) ! ! ! ! ! ! return end subroutine C3D8_N_dN ! ! ! ! ! ! ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D10 subroutine C3D10_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D10 element N(1) = (2.*(1.-g-h-r)-1.)*(1.-g-h-r) ! N(2) = (2.*g - 1.)*g ! N(3) = (2.*h - 1.)*h ! N(4) = (2.*r - 1.)*r ! N(5) = 4.*(1.-g-h-r)*g ! N(6) = 4.*g*h ! N(7) = 4.*(1.-g-h-r)*h ! N(8) = 4.*(1.-g-h-r)*r ! N(9) = 4.*g*r ! N(10) = 4.*h*r ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D10 element ! dN_dg dN(1,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(1,2) = (2.*(1.))*g + (2.*g - 1.)*(1.) ! dN(1,3) = 0. ! dN(1,4) = 0. ! dN(1,5) = 4.*(-1.)*g + 4.*(1.-g-h-r)*(1.) ! dN(1,6) = 4.*h ! dN(1,7) = 4.*(-1.)*h ! dN(1,8) = 4.*(-1.)*r ! dN(1,9) = 4.*(1.)*r ! dN(1,10) = 0. ! ! ! ! ! dN_dh dN(2,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(2,2) = 0. ! dN(2,3) = (2.*(1.))*h + (2.*h - 1.)*(1.) ! dN(2,4) = 0. ! dN(2,5) = 4.*(-1.)*g ! dN(2,6) = 4.*g*(1.) ! dN(2,7) = 4.*(-1.)*h + 4.*(1.-g-h-r)*(1.) ! dN(2,8) = 4.*(-1.)*r ! dN(2,9) = 0. ! dN(2,10) = 4.*(1.)*r ! ! ! ! dN_dr dN(3,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(3,2) = 0. ! dN(3,3) = 0. ! dN(3,4) = (2.*(1.))*r + (2.*r - 1.)*(1.) ! dN(3,5) = 4.*(-1.)*g ! dN(3,6) = 0. ! dN(3,7) = 4.*(-1.)*h ! dN(3,8) = 4.*(-1.)*r + 4.*(1.-g-h-r)*(1.) ! dN(3,9) = 4.*g*(1.) ! dN(3,10) = 4.*h*(1.) ! ! ! ! ! ! ! return end subroutine C3D10_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D15 subroutine C3D15_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D15 element N(1) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.-r)-(1.-g-h)*(1.-r**2)) ! N(2) = 1./2.*(g*(2.*g-1.)*(1.-r)-g*(1.-r**2)) ! N(3) = 1./2.*(h*(2.*h-1.)*(1.-r)-h*(1.-r**2)) ! N(4) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.+r)-(1.-g-h)*(1.-r**2)) ! N(5) = 1./2.*(g*(2.*g-1.)*(1.+r)-g*(1.-r**2)) ! N(6) = 1./2.*(h*(2.*h-1.)*(1.+r)-h*(1.-r**2)) ! N(7) = 2.*(1.-g-h)*g*(1.-r) ! N(8) = 2.*g*h*(1.-r) ! N(9) = 2.*h*(1.-g-h)*(1.-r) ! N(10) = 2.*(1.-g-h)*g*(1.+r) ! N(11) = 2.*g*h*(1.+r) ! N(12) = 2.*h*(1.-g-h)*(1.+r) ! N(13) = (1.-g-h)*(1.-r**2) ! N(14) = g*(1.-r**2) ! N(15) = h*(1.-r**2) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D15 element ! dN_dg dN(1,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2. ! dN(1,2) = ((r - 1.)*(r - 4.*g + 2.))/2. ! dN(1,3) = 0. ! dN(1,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2. ! dN(1,5) = ((r + 1.)*(4.*g + r - 2.))/2. ! dN(1,6) = 0. ! dN(1,7) = 2.*(r - 1.)*(2.*g + h - 1.) ! dN(1,8) = -2.*h*(r - 1.) ! dN(1,9) = 2.*h*(r - 1.) ! dN(1,10) = -2.*(r + 1.)*(2.*g + h - 1.) ! dN(1,11) = 2.*h*(r + 1.) ! dN(1,12) = -2.*h*(r + 1.) ! dN(1,13) = r**2 - 1. ! dN(1,14) = 1. - r**2 ! dN(1,15) = 0. ! ! ! ! dN_dh dN(2,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2. ! dN(2,2) = 0. ! dN(2,3) = ((r - 1.)*(r - 4.*h + 2.))/2. ! dN(2,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2. ! dN(2,5) = 0. ! dN(2,6) = ((r + 1.)*(4.*h + r - 2.))/2. ! dN(2,7) = 2.*g*(r - 1.) ! dN(2,8) = -2.*g*(r - 1.) ! dN(2,9) = 2.*(r - 1.)*(g + 2.*h - 1.) ! dN(2,10) = -2.*g*(r + 1.) ! dN(2,11) = 2.*g*(r + 1.) ! dN(2,12) = -2.*(r + 1.)*(g + 2.*h - 1.) ! dN(2,13) = r**2 - 1. ! dN(2,14) = 0. ! dN(2,15) = 1. - r**2 ! ! ! ! dN_dr dN(3,1) = -((g + h - 1.)*(2.*g + 2.*h + 2.*r - 1.))/2. ! dN(3,2) = (g*(2.*r - 2.*g + 1.))/2. ! dN(3,3) = (h*(2.*r - 2.*h + 1.))/2. ! dN(3,4) = ((g + h - 1.)*(2.*g + 2.*h - 2.*r - 1.))/2. ! dN(3,5) = (g*(2.*g + 2.*r - 1.))/2. ! dN(3,6) = (h*(2.*h + 2.*r - 1.))/2. ! dN(3,7) = g*(2.*g + 2.*h - 2.) ! dN(3,8) = -2.*g*h ! dN(3,9) = 2.*h*(g + h - 1.) ! dN(3,10) = -g*(2.*g + 2.*h - 2.) ! dN(3,11) = 2.*g*h ! dN(3,12) = -2.*h*(g + h - 1.) ! dN(3,13) = 2.*r*(g + h - 1.) ! dN(3,14) = -2.*g*r ! dN(3,15) = -2.*h*r ! ! ! ! ! ! ! ! return end subroutine C3D15_N_dN ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D20 subroutine C3D20_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D20 element N(1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.)*(g + h + r + 2.) ! N(2) = -(g/8. + 1./8.)*(h - 1.)*(r - 1.)*(h - g + r + 2.) ! N(3) = -(g/8. + 1./8.)*(h + 1.)*(r - 1.)*(g + h - r - 2.) ! N(4) = -(g/8. - 1./8.)*(h + 1.)*(r - 1.)*(g - h + r + 2.) ! N(5) = -(g/8. - 1./8.)*(h - 1.)*(r + 1.)*(g + h - r + 2.) ! N(6) = -(g/8. + 1./8.)*(h - 1.)*(r + 1.)*(g - h + r - 2.) ! N(7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.)*(g + h + r - 2.) ! N(8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.)*(g - h - r + 2.) ! N(9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r - 1.) ! N(10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.) ! N(11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.) ! N(12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r - 1.) ! N(13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.) ! N(14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.) ! N(17) = -(r/4. - 1./4.)*(g - 1.)*(h - 1.)*(r + 1.) ! N(18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.) ! N(19) = -(r/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.) ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D20 element ! dN_dg dN(1,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (h - 1.)*(r - 1.)*(g + h + r + 2.)/8. ! dN(1,2) = (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (h - 1.)*(r - 1.)*(h - g + r + 2.)/8. ! dN(1,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (h + 1.)*(r - 1.)*(g + h - r - 2.)/8. ! dN(1,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (h + 1.)*(r - 1.)*(g - h + r + 2.)/8. ! dN(1,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (h - 1.)*(r + 1.)*(g + h - r + 2.)/8. ! dN(1,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (h - 1.)*(r + 1.)*(g - h + r - 2.)/8. ! dN(1,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (h + 1.)*(r + 1.)*(g + h + r - 2.)/8. ! dN(1,8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.) + + (h + 1.)*(r + 1.)*(g - h - r + 2.)/8. ! dN(1,9) = - (g/4. - 1./4.)*(h - 1.)*(r - 1.) - + (g + 1.)*(h - 1.)*(r - 1.)/4. ! dN(1,10) = (h/4. - 1./4.)*(h + 1.)*(r - 1.) dN(1,11) = (g/4. - 1./4.)*(h + 1.)*(r - 1.) + + (g + 1.)*(h + 1.)*(r - 1.)/4. ! dN(1,12) = -(h/4. - 1./4.)*(h + 1.)*(r - 1.) ! dN(1,13) = (g/4. - 1./4.)*(h - 1.)*(r + 1.) + + (g + 1.)*(h - 1.)*(r + 1.)/4. ! dN(1,14) = -(h/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,15) = - (g/4. - 1./4.)*(h + 1.)*(r + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(1,16) = (h/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,17) = -(r/4. - 1./4.)*(h - 1.)*(r + 1.) ! dN(1,18) = (r/4. - 1./4.)*(h - 1.)*(r + 1.) ! dN(1,19) = -(r/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,20) = (r/4. - 1./4.)*(h + 1.)*(r + 1.) ! ! ! ! dN_dh dN(2,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (g/8. - 1./8.)*(r - 1.)*(g + h + r + 2.) ! dN(2,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (g/8. + 1./8.)*(r - 1.)*(h - g + r + 2.) ! dN(2,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (g/8. + 1./8.)*(r - 1.)*(g + h - r - 2.) ! dN(2,4) = (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (g/8. - 1./8.)*(r - 1.)*(g - h + r + 2.) ! dN(2,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (g/8. - 1./8.)*(r + 1.)*(g + h - r + 2.) ! dN(2,6) = (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (g/8. + 1./8.)*(r + 1.)*(g - h + r - 2.) ! dN(2,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (g/8. + 1./8.)*(r + 1.)*(g + h + r - 2.) ! dN(2,8) = (g/8. - 1./8.)*(r + 1.)*(g - h - r + 2.) - + (g/8. - 1./8.)*(h + 1.)*(r + 1.) ! dN(2,9) = -(g/4. - 1./4.)*(g + 1.)*(r - 1.) ! dN(2,10) = (h/4. - 1./4.)*(g + 1.)*(r - 1.) + + (g + 1.)*(h + 1.)*(r - 1.)/4. ! dN(2,11) = (g/4. - 1./4.)*(g + 1.)*(r - 1.) ! dN(2,12) = - (h/4. - 1./4.)*(g - 1.)*(r - 1.) - + (g - 1.)*(h + 1.)*(r - 1.)/4. ! dN(2,13) = (g/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,14) = - (h/4. - 1./4.)*(g + 1.)*(r + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(2,15) = -(g/4. - 1./4.)*(g + 1.)*(r + 1.) dN(2,16) = (h/4. - 1./4.)*(g - 1.)*(r + 1.) + + (g - 1.)*(h + 1.)*(r + 1.)/4. ! dN(2,17) = -(r/4. - 1./4.)*(g - 1.)*(r + 1.) ! dN(2,18) = (r/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,19) = -(r/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,20) = (r/4. - 1./4.)*(g - 1.)*(r + 1.) ! ! ! ! dN_dr dN(3,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (g/8. - 1./8.)*(h - 1.)*(g + h + r + 2.) ! dN(3,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (g/8. + 1./8.)*(h - 1.)*(h - g + r + 2.) ! dN(3,3) = (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (g/8. + 1./8.)*(h + 1.)*(g + h - r - 2.) ! dN(3,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (g/8. - 1./8.)*(h + 1.)*(g - h + r + 2.) ! dN(3,5) = (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (g/8. - 1./8.)*(h - 1.)*(g + h - r + 2.) ! dN(3,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (g/8. + 1./8.)*(h - 1.)*(g - h + r - 2.) ! dN(3,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (g/8. + 1./8.)*(h + 1.)*(g + h + r - 2.) ! dN(3,8) = (g/8. - 1./8.)*(h + 1.)*(g - h - r + 2.) - + (g/8. - 1./8.)*(h + 1.)*(r + 1.) ! dN(3,9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.) ! dN(3,10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.) ! dN(3,13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.) ! dN(3,14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.) ! dN(3,17) = - (r/4. - 1./4.)*(g - 1.)*(h - 1.) - + (g - 1.)*(h - 1.)*(r + 1.)/4. ! dN(3,18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.) + + (g + 1.)*(h - 1.)*(r + 1.)/4. ! dN(3,19) = - (r/4. - 1./4.)*(g + 1.)*(h + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(3,20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.) + + (g - 1.)*(h + 1.)*(r + 1.)/4. ! ! ! ! ! ! ! ! return end subroutine C3D20_N_dN ! ! ! ! ! ! ! ! ! ! end module meshprop ================================================ FILE: Example - Polycrytal with PROPS/slip.f ================================================ ! Oct. 6th, 2022 ! Eralp Demir ! Slip laws ! 1. sinh law ! 2. double exponent law ! 3. power law module slip implicit none contains ! ! subroutine sinhslip(Schmid_0, + Schmid,SchmidxSchmid, + tau,X,tauc,rhofor, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot, + dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB use utilities, only : gmatvec6 use errors, only: error implicit none ! Schmid tensor at the intermediate config. (or undeformed) real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Forest dislocation density real(8), intent(in) :: rhofor(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! variables used within this subroutine integer :: is real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0, + DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav real(8) :: abstau, signtau ! ! ! gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! ! ! ! Obtain slip parameters ! constant alpha alpha0 = slipparam(1) ! constant beta beta0 = slipparam(2) ! rhom0 - mobile dislocation density rhom0 = slipparam(4) ! DeltaF - activation energy to overcome Pierls barrier DeltaF = slipparam(5) ! nu0 - attempt frequency nu0 = slipparam(6) ! gamma0 - multiplier for activation volume ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta gamma0 = slipparam(7)*1.d-12 ! AV0 - activation volume (if defined not=0) ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta AV0 = slipparam(8)*1.d-12 ! ! ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! psi - fraction of mobile dislocations ! If there is no irradiation if (irradiationmodel == 0) then ! psi = slipparam(3) ! elseif (irradiationmodel == 1) then ! psi = irradiationparam(3) ! elseif (irradiationmodel == 2) then ! psi = slipparam(3) ! endif ! ! ! Scale mobile dislocation density rhom = psi * rhom0 ! ! endif ! ! ! ! Pmat=0.; Lp = 0.; Dp = 0. ! Loop through slip systems do is = 1,nslip ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! ! Outer multipler "alpha" calculation: ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T) ! ! alpha is defined as a constant else ! alpha = alpha0 ! endif ! ! ! ! Activation volume calculation: ! ! if AV is defined parametrically if (AV0 == 0.) then ! ! if (useaveragestatevars == 0) then ! ! average spacing based on forest densities lambda = 1./sqrt(rhofor(is)) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! elseif (useaveragestatevars == 1) then ! ! average forest density rhoav = sum(rhofor)/nslip ! ! average spacing lambda = 1./sqrt(rhoav) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! endif ! ! AV is defined as a constant else ! ! AV = AV0 * burgerv(is)**3. ! ! ! end if ! ! ! THESE CHECKS SHALL BE PLACED TO INITIALIZATION! !! Check for zero activation volume ! if (AV == 0.) then ! call error(8) ! end if ! ! ! ! ! Inner multiplier "beta" calculation: ! ! if beta is defined parametrically if (beta0 == 0.) then ! ! ! beta = AV/KB/T ! ! ! ! beta is defined as a constant else ! beta = beta0 ! ! endif ! ! ! ! c/a ratio correction for HCP if(iphase == 3) then ! Correction by C. Hardie - 26.05.2022 ! This correction needs to be done if activation volume ! IS NOT DEFINED PARAMETRICALLY, because it is already taken into account then! if (AV0 /= 0.0) then ! Corrected by A. Pechero - 23.02.2023 ! same burgers magnitude for 1st-12th slip systems ! changes only if slip system is greater than 12th if (is > 12) then alpha = caratio*caratio*alpha beta = caratio*caratio*beta endif end if end if ! ! This is critical threshold if (abstau >= tauc(is)) then ! ! slip rate gammadot(is) = alpha* + sinh(beta*(abstau-tauc(is)))*signtau ! ! dgammadot_dtau(is) = alpha*beta* + cosh(beta*(abstau-tauc(is))) ! ! dgammadot_dtauc(is) = -alpha*beta* + cosh(beta*(abstau-tauc(is)))*signtau ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! ! Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! Update plastic velocity gradient Dp = Dp + gammadot(is)*Schmid(is,:,:) ! ! ! end if ! end do ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! end subroutine sinhslip ! ! ! ! ! ! ! ! ! ! ! Zhengxuan Fan & Serge Kruch (2020) A comparison of different crystal ! plasticity finite-element models on the simulation of nickel alloys, ! Materials at High Temperatures, 37:5, 328-339, DOI: 10.1080/09603409.2020.1801951 ! subroutine doubleexpslip(Schmid_0, + Schmid,SchmidxSchmid, + tau,X,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot,dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! Schmid tensor at the intermediate config. (or undeformed) real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! variables used within this subroutine integer :: is real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, ratio real(8) :: abstau, signtau ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! Inner exponent (p) p = slipparam(2) ! Outer exponent (q) q = slipparam(3) ! Activation energy for octahedral slip (J) Foct = slipparam(4) ! Activation energy for cubic slip (J) Fcub = slipparam(5) ! ! ! Pmat = 0.; Lp = 0.; Dp = 0. gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! Contribution to Lp of all slip systems do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! RSS/CRSS ratio ratio=abstau/tauc(is) ! ! Avoid negative values before elevating to power q if (ratio >= 1.0) then ! gammadot(is) = signtau*gammadot0 !*exp(-dF/(kB*CurrentTemperature)) ! ! Standard case else ! ! Activation energy DeltaF=Foct ! ! Cubic slip case with a different activation energy ! If cubic slip systems are defined if (cubicslip == 1) then ! For cubic slip systems: 13-..-18 if (is > 12) then DeltaF=Fcub end if endif ! ! ! Strain rate due to thermally activated glide (rate dependent plasticity) gammadot(is) = signtau*gammadot0* + exp(-(DeltaF/KB/T)*(1.-ratio**p)**q) ! ! ! endif ! ! ! ! ! Calculate derivative d ( gammadot(i) ) / d ( tau(i) ) dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q + *(1.- ratio**p)**(q-1.)*p/tauc(is)*ratio**(p-1.) ! ! ! ! Calculate derivative d ( gammadot(i) ) / d ( tauc(i) ) dgammadot_dtauc(is) = -abs(gammadot(is))*DeltaF/KB/T*q + *(1.- ratio**p)**(q-1.)*p/tauc(is)*ratio**p*signtau ! ! ! ! Contribution to Jacobian Pmat = Pmat + + dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:) ! ! Plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! Update plastic velocity gradient Dp = Dp + gammadot(is)*Schmid(is,:,:) ! end do ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! end subroutine doubleexpslip ! ! ! ! ! ! ! ! ! ! ! ! subroutine powerslip(Schmid_0, + Schmid,SchmidxSchmid, + tau,X,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot,dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use utilities, only : gmatvec6 implicit none ! Schmid tensor at the intermediate config. (or undeformed) real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! Variables used within this subroutine integer :: is, i, j real(8) :: gammadot0, power_n, constant_n, slope_n, ratio real(8) :: abstau, signtau ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! rate sensitivity exponent- constant (n) constant_n = slipparam(2) ! temperature dependence of exponent (dn/dT) slope_n = slipparam(3) ! ! ! ! ! Temperature dependence of rate sensitivity exponent power_n = slope_n * T + constant_n ! ! Pmat = 0.; Lp = 0.; Dp = 0. gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! ratio = abstau / tauc(is) ! ! gammadot(is) = gammadot0*ratio**power_n*signtau ! ! ! dgammadot_dtau(is) = gammadot0*power_n + /tauc(is)*ratio**(power_n-1.0) ! ! dgammadot_dtauc(is) = -gammadot0*power_n + /tauc(is)*ratio**(power_n)*signtau ! ! Pmat = Pmat + + dt*dgammadot_dtau(is)*SchmidxSchmid(is,:,:) ! ! Update plastic velocity gradient Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! Update plastic velocity gradient Dp = Dp + gammadot(is)*Schmid(is,:,:) ! ! end do ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! ! end subroutine powerslip ! ! ! ! ! ! ! ! end module slip ================================================ FILE: Example - Polycrytal with PROPS/slipreverse.f ================================================ ! Oct. 6th, 2023 ! Chris Hardie ! Reverse Slip laws ! 1. sinh law ! 2. double exponent law ! 3. power law module slipreverse implicit none contains ! ! ! ! subroutine doubleexpslipreverse( + Schmid,SchmidxSchmid, + tau, X, abstau,signtau,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Pmat,absgammadot,gammadot, + dtau_dgammadot,dgammadot_dtau) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Absolute value of slip real(8), intent(in) :: absgammadot(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! slip rates real(8), intent(in) :: gammadot(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! Value of RSS real(8), intent(inout) :: tau(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! absolute value of RSS real(8), intent(out) :: abstau(nslip) ! ! variables used within this subroutine integer :: is real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, xx, u ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! Inner exponent (p) p = slipparam(2) ! Outer exponent (q) q = slipparam(3) ! Activation energy for octahedral slip (J) Foct = slipparam(4) ! Activation energy for cubic slip (J) Fcub = slipparam(5) ! ! ! Pmat = 0.; Lp = 0. ! ! Contribution to Lp of all slip systems do is=1,nslip ! ! RSS/CRSS ratio xx=abstau(is)/tauc(is) ! ! Activation energy DeltaF=Foct ! ! Cubic slip case with a different activation energy ! If cubic slip systems are defined if (cubicslip == 1) then ! For cubic slip systems: 13-..-18 if (is > 12) then DeltaF=Fcub end if endif ! ! u=-log(absgammadot(is)/gammadot0)*KB*T/DeltaF ! abstau(is)=max(tauc(is)*(1-u**(1/q))**(1/p), + tauc(is)) ! tau(is)=abstau(is)*signtau(is) ! ! if (absgammadot(is)>0.0) then dtau_dgammadot(is,is) = (KB*T*tauc(is)/ + (absgammadot(is)*DeltaF*q*p))* + (1-u**(1/q))**((1-p)/p)*u**((1-q)/q) else dtau_dgammadot(is,is) = 0.0 end if ! ! ! Calculate derivative d ( gammadot(i) ) / d ( tau(i) ) dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q + *(1.- xx**p)**(q-1.)*p/tauc(is)*xx**(p-1.) ! ! ! ! Contribution to Jacobian Pmat = Pmat + + dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:) ! ! Plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! end do ! ! return end subroutine doubleexpslipreverse ! ! ! ! subroutine powerslipreverse( + Schmid,SchmidxSchmid, + tau, X, abstau,signtau,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,absgammadot, gammadot, + dtau_dgammadot, + dgammadot_dtau, Pmat) ! ! use userinputs, only : useaveragestatevars, + maxnparam, maxnslip use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(inout) :: tau(nslip) ! absolute value of RSS real(8), intent(inout) :: abstau(nslip) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! crss at the current time step real(8), intent(in) :: X(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(inout) :: gammadot(nslip) ! absolute slip rates real(8), intent(inout) :: absgammadot(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! variables used within this subroutine real(8) :: gammadot0, constant_n, slope_n, power_n ! absolute ratio of RSS/CRSS real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max integer :: is ! dtau_dgammadot = 0. dgammadot_dtau = 0. ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! rate sensitivity exponent- constant (n) constant_n = slipparam(2) ! temperature dependence of exponent (dn/dT) slope_n = slipparam(3) ! ! ! ! ! Temperature dependence of rate sensitivity exponent power_n = slope_n * T + constant_n ! ! xtau=abstau/tauc xtau_max=maxval(xtau) xtau_norm=xtau/xtau_max ! Lp = 0. ! Loop through slip systems do is = 1,nslip ! ! This is critical threshold if (((abstau(is) >= tauc(is)).OR. + (absgammadot(is) .GT. 1.0e-6))) then ! ! shear stress as a function of slip rate ! dgammadot_dtau(is) = + (power_n*gammadot0/tauc(is))*xtau(is)**(power_n-1) ! abstau(is)= + max(tauc(is)*(absgammadot(is)/gammadot0)**(1/power_n),tauc(is)) ! tau(is)=abstau(is)*signtau(is) ! ! if (absgammadot(is)>0.0) then dtau_dgammadot(is,is) = + (tauc(is)/power_n*gammadot0)* + (absgammadot(is)/gammadot0)**((1-power_n)/power_n) else dtau_dgammadot(is,is) = 0.0 end if ! ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! else ! ! tau(is) = tauc(is)*signtau(is) ! absgammadot(is)=0.0 ! gammadot(is)=0.0 ! dtau_dgammadot(is,is) = 0. ! end if ! end do ! ! return end subroutine powerslipreverse ! ! ! ! ! ! ! subroutine sinhslipreverse( + Schmid, SchmidxSchmid, signtau, + abstau,tau, X,tauc,rhofor, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,absgammadot,gammadot, + dtau_dgammadot, dgammadot_dtau, Pmat) ! use userinputs, only : useaveragestatevars, + maxnparam, maxnslip use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(inout) :: tau(nslip) ! absolute value of RSS real(8), intent(inout) :: abstau(nslip) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Forest dislocation density real(8), intent(in) :: rhofor(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! crss at the current time step real(8), intent(in) :: X(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(inout) :: gammadot(nslip) ! absolute slip rates real(8), intent(inout) :: absgammadot(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! Derivative of slip rates wrto rss real(8) :: dgammadot_dtau(nslip) ! variables used within this subroutine ! absolute ratio of RSS/CRSS real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max integer :: is real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0, + DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav ! dtau_dgammadot = 0. dgammadot_dtau = 0. ! ! Obtain slip parameters ! constant alpha alpha0 = slipparam(1) ! constant beta beta0 = slipparam(2) ! rhom0 - mobile dislocation density rhom0 = slipparam(4) ! DeltaF - activation energy to overcome Pierls barrier DeltaF = slipparam(5) ! nu0 - attempt frequency nu0 = slipparam(6) ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) ! Unit conversion factor for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta gamma0 = slipparam(7)*1.d-12 ! AV0 - activation volume (if defined not=0) ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta AV0 = slipparam(8)*1.d-12 ! ! ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! psi - fraction of mobile dislocations ! If there is no irradiation if (irradiationmodel == 0) then ! psi = slipparam(3) ! elseif (irradiationmodel == 1) then ! psi = irradiationparam(3) elseif (irradiationmodel == 2) then ! psi = slipparam(3) ! endif ! ! ! Scale mobile dislocation density rhom = psi * rhom0 ! ! endif ! ! ! Pmat = 0. Lp = 0. ! Loop through slip systems do is = 1,nslip ! ! ! alpha calculation ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T) ! ! alpha is defined as a constant else ! alpha = alpha0 ! endif ! ! ! ! Activation volume calculation: ! ! if AV is defined parametrically if (AV0 == 0.) then ! ! if (useaveragestatevars == 0) then ! ! average spacing based on forest densities lambda = 1./sqrt(rhofor(is)) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! elseif (useaveragestatevars == 1) then ! ! average forest density rhoav = sum(rhofor)/nslip ! ! average spacing lambda = 1./sqrt(rhoav) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! endif ! ! AV is defined as a constant else ! ! AV = AV0 * burgerv(is)**3. ! ! ! end if ! ! ! ! ! beta calculation ! ! if beta is defined parametrically if (beta0 == 0.) then ! ! beta = AV/KB/T ! ! beta is defined as a constant else ! beta = beta0 ! ! endif ! ! ! ! ! c/a ratio correction for HCP if(iphase == 3) then ! same burgers magnitude for first 1-6 and 25-30 ! change only 7-24 if (is > 12) then alpha = caratio*caratio*alpha beta = caratio*caratio*beta endif end if ! xtau=abstau/tauc xtau_max=maxval(xtau) xtau_norm=xtau/xtau_max ! ! This is critical threshold if (((abstau(is) >= tauc(is)) + .AND. (xtau_norm(is) .GT. 0.0)) + .OR. (absgammadot(is) .GT. 1.0e-6)) then ! ! shear stress as a function of slip rate ! dgammadot_dtau(is) = alpha*beta* + cosh(beta*(abstau(is)-tauc(is))) abstau(is)=tauc(is)+ + (1/beta)*asinh(absgammadot(is)/alpha) ! tau(is)=abstau(is)*signtau(is) ! ! dtau_dgammadot(is,is) = 1/(alpha*beta* + sqrt(absgammadot(is)**2*alpha**-2+1)) ! ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! else ! ! tau(is) = tauc(is)*signtau(is) ! absgammadot(is)=0.0 ! gammadot(is)=0.0 ! dtau_dgammadot(is,is) = 0. ! end if end do ! ! return end subroutine sinhslipreverse ! ! ! ! end module slipreverse ================================================ FILE: Example - Polycrytal with PROPS/straingradients.f ================================================ ! Jan. 1st, 2023 ! Eralp Demir ! module straingradients implicit none ! contains ! ! ! ! ! ! GND model-1 ! GND calculation using curl of (Fp) together with L2 approximation ! Cumulative (total) calculation of GNDs ! Shutting down non-active slip systems followed by singular value decompostion ! Proposed by Chris Hardie subroutine gndmodel1 use userinputs, only : maxnslip, + gndhomogenization, gndthreshold use globalvariables, only : numel, numdim, numpt, nnpel, + materialid, numslip_all, numscrew_all, screw_all, + slip2screw_all, burgerv_all, dirc_0_all, trac_0_all, gradip2ip, + eijk, I3, statev_curvature, statev_Lambda, statev_gammasum, + statev_Fp, statev_gmatinv_0, statev_gnd, statev_gnd_t use utilities, only: matvec9 implicit none ! Local variables integer matid, nslip, nscrew ! Some variables are allotable since material type can vary hence ! the NUMBER OF SLIP SYSTEMS can alter within the mesh real(8) :: burgerv(maxnslip) real(8) :: gammasum(maxnslip) integer :: screw(maxnslip) real(8) :: slip2screw(maxnslip,maxnslip) real(8) :: dirc_0(maxnslip,3) real(8) :: trac_0(maxnslip,3) ! real(8) :: dirs(maxnslip,3) real(8) :: tras(maxnslip*2,3) real(8) :: Bmat(maxnslip*2,9) real(8) :: rhoGND(maxnslip*2) real(8) :: drhoGND(maxnslip*2) ! real(8) :: grad_invN(3,numpt), grad(3,3,3) real(8) :: Lambda(3,3), sum, Lambda_vec(9) real(8) :: kappa(3,3), kappa_vec(9), trace ! real(8) :: Fp_ip(numpt,3,3) real(8) :: gmatinv(3,3) ! integer :: i, j, k, l integer :: ie, ip, is ! ! ! ! ! Loop through the elements do ie=1,numel ! ! Reset arrays burgerv=0.; screw=0 dirc_0=0.; trac_0=0. dirs=0.; tras=0. slip2screw=0. ! ! ! ! ! Assume the same material for al the Gaussian points of an element matid = materialid(ie,1) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! Screw systems screw(1:nscrew) = screw_all(matid,1:nscrew) ! ! Slip to screw mapping slip2screw(1:nscrew,1:nslip) = + slip2screw_all(matid,1:nscrew,1:nslip) ! ! Burgers vector burgerv(1:nslip) = burgerv_all(matid,1:nslip) ! ! undeformed slip direction dirc_0(1:nslip,1:3) = dirc_0_all(matid,1:nslip,1:3) ! ! undeformed line direction trac_0(1:nslip,1:3) = trac_0_all(matid,1:nslip,1:3) ! ! ! Store Fp for each IP ! Plastic part of the deformation gradient Fp_ip = statev_Fp(ie,1:numpt,1:3,1:3) ! ! ! Calculate the gradient of Fp ! Calculate the gradients using gradient operator do ip = 1, numpt ! ! ! Reset arrays Bmat=0.; rhoGND=0.; gammasum=0. ! ! Crystal to sample transformation matrix gmatinv = statev_gmatinv_0(ie,ip,:,:) ! ! ! Slip rate per slip system gammasum(1:nslip) = statev_gammasum(ie,ip,1:nslip) ! ! do is = 1, nslip ! Transform slip directions to sample reference dirs(is,:) = matmul(gmatinv, dirc_0(is,:)) ! ! Transform line directions to sample reference tras(is,:) = matmul(gmatinv, trac_0(is,:)) ! end do ! ! ! Calculate Bmatrix - using singular value decomposition ! Arsenlis, A. and Parks, D.M., 1999. Acta materialia, 47(5), pp.1597-1611. call calculateBmatPINV(nslip,nscrew, + screw(1:nscrew), slip2screw(1:nscrew,1:nslip), + dirs(1:nslip,:),tras(1:nslip,:),burgerv(1:nslip), + gammasum(1:nslip), Bmat(1:nslip+nscrew,1:9)) ! ! ! Use gradients per integration point if (gndhomogenization == 0) then ! grad_invN = gradip2ip(ie,ip,:,:) ! ! Use the gradient at the element center else ! grad_invN = gradip2ip(ie,numpt+1,:,:) ! end if ! ! ! ! ! grad(k,i,j) = Fp(i,j,k) do k = 1,3 do j = 1,3 do i = 1,3 grad(k,i,j) = + dot_product(grad_invN(k,:),Fp_ip(:,i,j)) end do end do end do ! ! ! calculate curl ! NOTE THE NEGATIVE SIGN AND TRANSPOSE ARE MISSING IN THE ORIGINAL REFERENCE ! lambda(l,k) = -eijk(i,j,k) * Fp(l,j,i) ! index "i" refers to the gradient direction do k = 1,3 do l = 1,3 sum = 0. do i = 1, 3 do j = 1, 3 sum = sum - eijk(i,j,k)*grad(i,l,j) !! earlier version (no "-" sign) ! sum = sum + eijk(i,j,k)*grad(i,l,j) end do end do Lambda(l,k) = sum end do end do ! ! Vectorize the incompatibility call matvec9(Lambda,Lambda_vec) ! ! ! Assign the Incompatibility statev_Lambda(ie,ip,:) = Lambda_vec ! ! ! Trace trace = Lambda(1,1) + Lambda(2,2) + Lambda(3,3) ! ! Calculate curvature (negative transpose + trace term) kappa = -transpose(Lambda) + I3 * trace / 2. ! ! Convert curvature to vector call matvec9(kappa,kappa_vec) ! ! ! Assign curvature statev_curvature(ie,ip,1:9) = kappa_vec(1:9) ! ! ! ! ! Reset arrays rhoGND=0.; drhoGND=0. ! ! Compute the dislocation densities using L2 minimization rhoGND(1:nslip+nscrew) = + matmul(Bmat(1:nslip+nscrew,1:9),Lambda_vec) ! ! ! Calculate the increment of GNDs drhoGND(1:nslip+nscrew) = + rhoGND(1:nslip+nscrew) - statev_gnd_t(ie,ip,1:nslip+nscrew) ! ! ! Check for a threshold do is = 1, nslip+nscrew if (abs(drhoGND(is))nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b ! end do ! ! L2 solution by KKT condition ! Assign zero initially KKTmat = 0. ! Assign the identity part do i = 1, nslip+nscrew KKTmat(i,i)=2. end do ! ! Assign A^T - upper right part KKTmat(1:nslip+nscrew,nslip+nscrew+1:nslip+nscrew+9) = + transpose(Amat) ! ! Assign A - lower left part KKTmat(nslip+nscrew+1:nslip+nscrew+9,1:nslip+nscrew) = + Amat ! ! Take the inverse call nolapinverse(KKTmat,BmatKKT,nslip+nscrew+9) ! ! Set to zero if not invertible if(any(BmatKKT /= BmatKKT)) then ! Set the outputs to zero initially BmatKKT = 0. ! error message in .dat file call error(10) end if ! ! ! ! ! ! return end subroutine calculateBmatKKT ! ! ! ! ! Calculate Bmatrix using singular value decomposition subroutine calculateBmat(nslip,nscrew,screw,dirs,tras,burgerv, + Bmat) use utilities, only : nolapinverse use errors, only: error implicit none ! number of slip systems integer, intent(in) :: nslip ! number of screw systems integer, intent(in) :: nscrew ! screw systems integer, dimension(nscrew), intent(in) :: screw ! slip direction in sample reference real(8), dimension(nslip,3), intent(in) :: dirs ! transverse (to slip) direction in sample reference real(8), dimension(nslip,3), intent(in) :: tras ! Burgers vector real(8), dimension(nslip), intent(in) :: burgerv ! Rank Deficit B-matrix real(8), dimension(nslip+nscrew,9), intent(out) :: Bmat ! ! Local variables used within this subroutine ! Note A^T*A is rank deficit real(8) :: Amat(9,nslip+nscrew) real(8) :: AmatAmatT(9,9) real(8) :: invAmatAmatT(9,9) real(8) :: s(3), l(3), b integer :: i, j, is ! ! Construct Nye's tensor Amat=0. ! Loop through dislocation configurations do i = 1, nslip+nscrew ! ! ! Slip direction ! For screws if (i>nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b ! end do ! ! ! ! ! ! Other solution (former method) ! ----------------------------------------------- ! This is preserved to check its validity ! Right pseudo inverse is used ! This is exactly the same as the inversion by singular value decomposition ! Compute the L2 coefficient AmatAmatT = matmul(Amat,transpose(Amat)) ! ! Take the inverse call nolapinverse(AmatAmatT,invAmatAmatT,9) ! ! ! Compute Bmat Bmat = matmul(transpose(Amat),invAmatAmatT) ! ! Set to zero if not invertible if(any(Bmat /= Bmat)) then ! Set the outputs to zero initially Bmat = 0. ! error message in .dat file call error(10) end if ! ! ! return end subroutine calculateBmat ! ! ! Calculate Bmatrix using singular value decomposition subroutine calculateBmatPINV(nslip,nscrew,screw,slip2screw, + dirs,tras,burgerv,gammadot,BmatPINV) use userinputs, only: slipthreshold use utilities, only: svdgeninverse use errors, only: error implicit none ! number of slip systems integer, intent(in) :: nslip ! number of screw systems integer, intent(in) :: nscrew ! screw systems integer, dimension(nscrew), intent(in) :: screw ! slip to screw mapping real(8), dimension(nscrew,nslip), intent(in) :: slip2screw ! slip direction in sample reference real(8), dimension(nslip,3), intent(in) :: dirs ! transverse (to slip) direction in sample reference real(8), dimension(nslip,3), intent(in) :: tras ! Burgers vector real(8), dimension(nslip), intent(in) :: burgerv ! Cumulative slip per slip system real(8), dimension(nslip), intent(in) :: gammadot ! Rank Deficit B-matrix real(8), dimension(nslip+nscrew,9), intent(out) :: BmatPINV ! ! Local variables used within this subroutine ! Note A^T*A is rank deficit real(8) :: Amat(9,nslip+nscrew) real(8) :: gdot_screw(nscrew) ! real(8) :: AmatTAmat(nslip+nscrew,nslip+nscrew) ! real(8) :: invAmatTAmat(nslip+nscrew,nslip+nscrew) real(8) :: s(3), l(3), b integer :: i, j, is, err ! ! Construct Nye's tensor Amat=0. ! Loop through dislocation configurations do i = 1, nslip+nscrew ! ! ! Slip direction ! For screws if (i>nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b end do ! ! ! Sum slip on each system sharing common screw types gdot_screw= matmul(slip2screw,gammadot) ! ! ! Shut down the slip systems ! that have a cumulative slip ! less than 10^-10 ! For edge type of dislocations do is = 1, nslip ! if (abs(gammadot(is)) cubicslipystem flag ! material-08: zirconium / hcp / phase-3 ! material-09: berylium / hcp / phase-3 (not ready yet) ! material-10: alpha-uranium / alphauranium / phase-4 ! material-11: copper / UKAEA / Vikram Phalke ! material-12: CuCrZr / UKAEA / Vikram Phalke ! ! ! ! ********************************************** ! ** MATERIALPARAMETERS sets the material ** ! ** constants for elasticity and plasticity ** ! ********************************************** subroutine materialparam(imat,temperature, + iphase,nslip,nscrew,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,burgerv, + tauc_0,rho_0,rhofor_0,rhosub_0, + slipmodel,slipparam,creepmodel,creepparam, + hardeningmodel,hardeningparam, + irradiationmodel,irradiationparam, + sintmat1,sintmat2,hintmat1,hintmat2, + backstressparam) use errors, only : error use userinputs, only : maxnslip, maxnparam implicit none ! ! material id integer, intent(in) :: imat ! ! ! current temperature in Kelvins real(8), intent(in) :: temperature ! ! phase id ! 1: BCC, 2: FCC, 3: HCP, 4: alpha-uranium integer, intent(out) :: iphase ! ! number of slip systems integer, intent(out) :: nslip ! ! number of screw systems integer, intent(out) :: nscrew ! ! c/a ratio for hcp crystals real(8), intent(out) :: caratio ! ! cubic slip for fcc superalloys integer, intent(out) :: cubicslip ! ! elastic stiffness matrix in the crystal reference frame real(8), intent(out) :: Cc(6,6) ! ! shear modulus for Taylor's dislocation law real(8), intent(out) :: G12 ! ! Poisson's ratio real(8), intent(out) :: v12 ! ! geometric factor for obstacle strength real(8), intent(out) :: gf ! ! thermal eigenstrain to model thermal expansion real(8), intent(out) :: alphamat(3,3) ! ! burgers vectors real(8), intent(out) :: burgerv(maxnslip) ! ! critical resolved shear stress of slip systems real(8), intent(out) :: tauc_0(maxnslip) ! ! initial ssd dislocation density real(8), intent(out) :: rho_0(maxnslip) ! ! initial forest dislocation density real(8), intent(out) :: rhofor_0 ! ! initial substructure dislocation density real(8), intent(out) :: rhosub_0 ! ! Slip model identifier ! 0: no slip (if only creep is considered) ! 1: sinh law ! 2: double exponent law ! 3: power law integer, intent(out) :: slipmodel ! ! Slip parameters ! Array size adjustable real(8), intent(out) :: slipparam(maxnparam) ! For sinh law (slipmodel=1) ! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined, ! the alpha calculation will be ignored ! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined, ! the beta calculation will be ignored ! 3: psi / fraction of mobile dislocations / [-] / alpha calculation ! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation ! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation ! 6: nu0 / attempt frequency / [1/s] / alpha calculation ! 7: gamma0 / reference slip strain / [-] / beta calculation ! ! For double exponent law (slipmodel=2) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: p / inner exponent / [-] ! 3: q / outer exponent / [-] ! 4: DeltaFoct / activation energy for octahedral slip / [J/mol] ! 5: DeltaFcub / activation energy for cubic slip / [J/mol] ! ! For power law (slipmodel=3) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: n / power exponent / [-] ! 3: dn/dT / temperature dependence of slip rate sensitivity / [1/K] ! ! ! Creep model identifier ! 0: no creep ! 1: exponential creep law ! Default value is set to 0 integer, intent(out) :: creepmodel ! Creep parameters ! Array size adjustable real(8), intent(out) :: creepparam(maxnparam) ! ! Hardening identifier ! 0: Hardening is off (tauc constant) ! 1: Voce type hardening ! 2: Linear hardening ! 3: Kocks-Mecking hardening ! 4: Kocks-Mecking hardening with substructure ! Default value is set to 0 integer, intent(out) :: hardeningmodel ! Hardening parameters ! Array size adjustable real(8), intent(out) :: hardeningparam(maxnparam) ! ! Irradiation identifier ! 0: Irradiaion is off ! 1: Irradiation is on ! Default value is set to 0 integer, intent(out) :: irradiationmodel ! Irradiation model parameters ! Array size adjustable real(8), intent(out) :: irradiationparam(maxnparam) ! 1: tau_s0: initial solute strength ! 2: gamma_s: saturation value of the cumulative slip ! 3: psi / fraction of mobile density for irradiated material for sinh law ! ! Interaction matrices ! Strength interaction between dislocations real(8), intent(out) :: sintmat1(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(out) :: sintmat2(maxnslip,maxnslip) ! Latent hardening real(8), intent(out) :: hintmat1(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8), intent(out) :: hintmat2(maxnslip,maxnslip) ! ! Slip parameters ! Array size adjustable real(8), intent(out) :: backstressparam(maxnparam) ! ! burgers vector scalars real(8) :: burger1, burger2 ! ! elastic constants scalars real(8) :: e1, e2, e3, g13, v13 real(8) :: g23, v23, v21, v31, v32 ! ! critical resolved shear stress real(8) :: xtauc1, xtauc2, xtauc3, xtauc4, xtauc5 ! ! thermal expansion coefficients real(8) :: alpha1, alpha2, alpha3 ! ! temperature in celsius real(8) :: tcelsius ! real(8) :: C11, C12, C44, cst ! ! local variable for identity martrix real(8) :: kdelta(maxnslip,maxnslip), q1, q2 ! integer :: i, j, k, is, js ! ! ! ! Set potentially unassigned parameters to zero ! Slip parameters slipparam = 0. ! Creep parameters creepparam = 0. ! Hardening parameters hardeningparam = 0. ! Irradiation parameters irradiationparam = 0. ! Backstress parameters backstressparam = 0. ! ! ! Interaction matrices ! Initially set all to zero sintmat1=0. sintmat2=0. hintmat1=0. hintmat2=0. ! ! ! ! Temperature in Celcius tcelsius = temperature - 273.15 ! ! ! ! ! ! ! ! ! ! select crystal type select case(imat) ! ! custom material - bcc (i.e. ferrite) ! no temperature dependence case(1) ! ! Slip model ! sinh law slipmodel = 1 ! ! ! Phase id iphase = 1 ! ! This can be 12 or 24 nslip = 12 ! ! ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0. ! psi - fraction of mobile dislocations slipparam(3) = 0.727d-2 ! rhom0 - mobile dislocation density slipparam(4) = 0.035 ! DeltaF - activation energy slipparam(5) = 4.646312d-20 ! nu0 - attempt frequency slipparam(6) = 1.0d+11 ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) slipparam(7) = 0. ! Activation volume (factor of Burgers vector^3) slipparam(8) = 1. ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! Screw systems nscrew = 4 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 60. ! xtauc1 = 45. ! ! ! Burgers vectors [micrometers] burger1 = 2.48d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Example elastic modulus values ! ********************************************************** ! ! steel-ferrum ! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982 ! C11=230.1d3 ! C12=134.6d3 ! C44=116.6d3 ! ! steel-ferrite ! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies ! of the martensite lattice and mechanism of diffusionless transformation" ! page 1087 ! C11=233.5d3 ! C12=135.5d3 ! C44=118.0d3 ! ! ********************************************************** ! ! Cubic elastic constants [MPa] ! Value used for ferrite grains C11=233.5d3 C12=135.5d3 C44=118.0d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! custom material - fcc (i.e. copper) ! no temperature dependence case(2) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 3 ! ! copper ! Slip model parameters slipparam(1) = 1.0d-3 ! rate sensitivity exponent ! slipparam(2) = 83.333 slipparam(2) = 20. ! !! Inverse slip test parameters !! Slip model parameters ! slipparam(1) = 1.0d-9 !! rate sensitivity exponent ! slipparam(2) = 13. ! !! steel !! Slip model parameters ! slipparam(1) = 1.0d-3 !! rate sensitivity exponent ! slipparam(2) = 7.143 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! !! steel ! xtauc1 = 32. ! ! Copper xtauc1 = 16. ! !! Inverse slip test parameter ! xtauc1 = 32. ! ! Burgers vectors [micrometers] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! Example elastic modulus values ! ********************************************************** ! ! copper ! "Texture and Anisotropy", ! Cambridge University Press, 1998, page 300 ! C11=168.0d3 ! C12=121.4d3 ! C44=75.4d3 ! ! "The Mechanics of Crystals and Textured Polycrystals", ! Oxford University Press, 1993, page 16 ! C11=166.1d3 ! C12=199.0d3 wrong! correct value: 119.0d3 ! C44=75.6d3 ! ! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38 ! C11=168.3d3 ! C12=122.1d3 ! C44=75.7d3 ! ! aluminum ! "The Mechanics of Crystals and Textured Polycrystals", ! Oxford University Press, 1993, page 16 ! C11=107.3d3 ! C12=60.9d3 ! C44=28.3d3 ! ! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38 ! C11=106.75d3 ! C12=60.41d3 ! C44=28.34d3 ! ! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982 ! C11=106.43d3 ! C12=60.35d3 ! C44=28.21d3 ! ! steel-austenite ! S. Turteltaub and A.S.J. Suiker, "Transformation-induced plasticit in ferrous alloys", 2005 ! page 1765, Eq. (37) ! C11=268.5d3 ! C12=156.d3 ! C44=136.d3 ! ! steel ! C11=204.6d3 ! C12=137.7d3 ! C44=126.6d3 ! ! ********************************************************** ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model hardeningmodel = 1 ! !! Kocks-Mecking hardening with substructure evolution !! Reference: https://doi.org/10.1016/j.actamat.2010.06.021 !! !! hardening model ! hardeningmodel = 4 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. !! q - substructure ! hardeningparam(7) = 4. !! f - substructure ! hardeningparam(8) = 20. !! ksub - substructure ! hardeningparam(9) = 0.086 ! ! !! Inverse slip test parameter ! hardeningmodel = 0 ! ! ! copper ! Hardening rate - h0 hardeningparam(1)=250. ! Saturation strength for slip - ss hardeningparam(2)=190. ! Hardening exponent - a hardeningparam(3)=2.5 ! Latent hardening coefficient - q hardeningparam(4)=1.4 ! ! !! steel !! Hardening rate - h0 ! hardeningparam(1)=217.8 !! Saturation strength for slip - ss ! hardeningparam(2)=257. !! Hardening exponent - a ! hardeningparam(3)=2.5 !! Latent hardening coefficient - q ! hardeningparam(4)=1.1 ! ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! Hardening interactions - latent hardening hintmat1 = hardeningparam(4) do k = 1, int(nslip/3.) do i = 1, 3 do j = 1, 3 hintmat1(3*(k-1)+i, 3*(k-1)+j)=1. enddo enddo enddo !! ! Backstress parameter backstressparam(1) = 0.25 ! ! custom material - hcp (i.e. zirconium) ! no temperature dependence case(3) ! ! Phase id iphase = 3 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0. ! fraction of mobile dislocations slipparam(3) = 1. ! reference mobile dislocations (1/micrometer^2) slipparam(4) = 0.01 ! activation energy for slip (J) slipparam(5) = 5.127d-20 ! attempt frequency slipparam(6) = 1.d11 ! scaling for jump distance slipparam(7) = 1. ! activation volume slipparam(8) = 20.93 ! ! ! ! Geometric factor (0.1-0.5) gf = 0.22364 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! ! number of slip systems nslip = 30 ! ! Screw systems nscrew = 9 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 10. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burger1 = 3.2d-4 burger2 = 6.0d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 98.32d3 e3 = 123.28d3 g12 = 32.01d3 v12 = 0.40 v13 = 0.24 ! ! crss [MPa] xtauc1 = 187.7 ! basal xtauc2 = 140.8 ! prismatic xtauc3 = 140.8 ! pyramidal xtauc4 = 489.8 ! pyramidal-1 xtauc5 = 2449.1 ! pyramidal-2 ! ! thermal expansion coefficients [1/K] alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g13 = e3/(1.+v13)/2. g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:30) = burger2 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc3 tauc_0(13:24) = xtauc4 tauc_0(25:30) = xtauc5 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model ! linear hardening hardeningmodel = 2 ! hardening parameter (1/micrometer^2) hardeningparam(1) = 2600. ! ! irradiation model irradiationmodel = 2 ! Irradiation parameters ! Number of different types of defects irradiationparam(1) = 3. ! Number density of defects (1/micrometer^3) irradiationparam(2:4) = 2.033d+4 ! size of defects (micrometer) irradiationparam(5:7) = 1.4d-3 ! defect vectors (crystallographic directions) irradiationparam(8:10) = (/ 4.0, 6.0, 11.0 /) ! Strength interaction matrix coefficients (two independent parameters) ! when a=0 (a: reaction segment) irradiationparam(11) = 1.25 ! when a not equals 0 irradiationparam(12) = 1.875 ! Hardening (Softening) interaction matrix coefficients (two independent parameters) ! when a=0 (a: reaction segment) irradiationparam(13) = 0.5 ! when a not equals 0 irradiationparam(14) = 0. ! ! ! ! ! ! tungsten - bcc case(4) ! ! Phase id iphase = 1 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Burgers vectors [micrometers] burger1 = 2.74d-4 ! ! Slip model parameters ! Partly available in the reference https://doi.org/10.1016/j.ijplas.2018.05.001 ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0.0159 ! psi - fraction of mobile dislocations slipparam(3) = 0.727d-2 ! rhom0 - mobile dislocation density slipparam(4) = 0.035 ! DeltaF - activation energy to overcome Pierls barrier slipparam(5) = 3.524788e-20 ! nu0 - attempt frequency slipparam(6) = 1.0d11 ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) slipparam(7) = 0. ! AV0 slipparam(8) = 0. ! ! Geometric factor (0.1-0.5) gf = 0.1 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 4 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 360.0 ! 900 MPa in the reference ! ! elastic constants [MPa] e1 = 421d3 g12 = 164.4d3 v12 = 0.28 ! ! thermal expansion coefficients alpha1 = 9.5d-6 alpha2 = alpha1 alpha3 = 0.5895*alpha1 ! ! ! ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 2 hardeningparam(1) = 1000. ! ! irradiation model irradiationmodel = 1 ! irradiation parameters ! initial strength irradiationparam(1) = 750. ! solute strength saturation strain irradiationparam(2) = 0.025 ! factor for mobile density irradiationparam(3) = 3.457d-2 ! ! ! ! ! copper - fcc case(5) ! ! Phase id iphase = 2 ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.02 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 20.0 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! Burgers vectors [micrometers] burger1 = 2.55d-4 ! ! elastic constants [MPa] e1 = 66.69d3 v12 = 0.4189 g12 = 75.4d3 ! ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! thermal expansion coefficients alpha1 = 13.0d-6 alpha2 = alpha1 alpha3 = alpha1 ! ! burgerv(1:nslip)=burger1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! ! creep model creepmodel = 0 ! ! ! hardening model hardeningmodel = 0 ! ! ! irradiation model irradiationmodel = 0 ! ! ! ! carbide - fcc case(6) ! ! Phase id iphase = 2 ! ! Slip model ! power law slipmodel = 3 ! ! Slip model parameters ! Reference strain rate slipparam(1) = 1.0d-3 ! Rate sensitivity exponent slipparam(2) = 50 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 0 ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 2300.0 ! ! Burgers vectors [micrometers] burger1 = 3.5072d-4 ! ! elastic constants [MPa] e1 = 207.0d4 v12 = 0.28 ! ! thermal expansion coefficients alpha1 = 4.5d-6 alpha2 = alpha1 alpha3 = alpha1 ! ! ! elastic constants based on crystal symmetry e3 = e1 e2 = e1 v13 = v12 v23 = v12 g12 = e1/(2.0*(1.0+v12)) g13 = g12 g23 = g12 ! ! assign Burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! ! ! CMSX-4 - fcc + cubic case(7) ! ! Phase id iphase = 2 ! ! Slip model ! Double exponent law slipmodel = 2 ! ! Slip model parameters ! Reference strain rate slipparam(1) = 1.0d7 ! Inner exponent slipparam(2) = 0.78 ! Outer exponent slipparam(3) = 1.15 ! Activation energy for octahedral slip (J) slipparam(4) = 9.39d-19 ! Activation energy for cubic slip (J) slipparam(5) = 1.17d-18 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! Screw systems nscrew = 6 ! ! ! ! number of slip systems if (cubicslip == 0) then nslip = 12 elseif (cubicslip == 1) then nslip = 18 else call error(3) end if ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! ! crss [MPa] if (tcelsius <= 850.0) then ! temperature in celsius ! tauc_0=-0.000000001051*tcelsius**4 + + 0.000001644382*tcelsius**3 - + 0.000738679333*tcelsius**2 + 0.128385617901*tcelsius + + 446.547978926622 ! if (cubicslip == 1) then ! tauc_0(13:18)=-0.000000001077*tcelsius**4 + + 0.000001567820*tcelsius**3 - + 0.000686532147*tcelsius**2 - + 0.074981918833*tcelsius + + 571.706771689334 ! end if ! else ! tauc_0=-1.1707*tcelsius + 1478.9 ! if (cubicslip == 1) then ! tauc_0(13:18)=-0.9097*tcelsius + 1183 ! end if ! end if ! end temperature check ! ! tcelsius dependent stiffness constants [MPa] if (tcelsius <= 800.0) then ! celsius units ! c11=-40.841*tcelsius+251300 c12=-14.269*tcelsius+160965 ! else ! c11=0.111364*tcelsius**2-295.136*tcelsius+382827.0 c12=-0.000375*tcelsius**3+1.3375*tcelsius**2 - + 1537.5*tcelsius+716000 ! end if ! end temperature check ! g12=-0.00002066*tcelsius**3+0.021718*tcelsius**2 - + 38.3179*tcelsius+129864 ! e1 = (c11-c12)*(c11+2*c12)/(c11+c12) v12 = e1*c12/((c11-c12)*(c11+2*c12)) ! ! temperature dependent thermal expansion coefficient alpha1 = 9.119d-9*tcelsius +1.0975d-5 ! ! Eralp: Burgers vector was not defined for this burger1=2.56d-4 ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! assign Burgers vector scalars burgerv(1:nslip) = burger1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 1 ! ! hardening model hardeningmodel = 0 ! ! creep parameters ! reference rate for creep (1/s) creepparam(1) = 4.0d+8 ! stress multiplier for creep (1/MPa) creepparam(2) = 3.2d-2 ! activation energy for creep (J/mol) creepparam(3) = 460000. ! reference rate for damage (1/s) creepparam(4) = 6.0d6 ! stress multiplier for damage (1/MPa) creepparam(5) = -5.0d-8 ! activation energy for damage (J/mol) creepparam(6) = 340000. ! ! irradiation model irradiationmodel = 0 ! ! ! zirconium - hcp case(8) ! ! Phase id iphase = 3 ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.1 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 9 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! ! Burgers vectors [micrometers] burger1 = 2.28d-4 burger2 = 4.242d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 289.38d3 e3 = 335.17d3 g12 = 132.80d3 g13 = 162.50d3 v12 = 0.09 v13 = 0.04 ! ! crss [MPa] xtauc1 = 15.2 ! basal xtauc2 = 67.7 ! prismatic xtauc4 = 2000.0 ! pyramidal ! ! thermal expansion coefficients [1/K] alpha1 = 9.5d-6 alpha2 = alpha1 alpha3 = 0.5895*alpha1 ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:12) = burger2 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc4 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! Material constants by Alvaro Martinez Pechero ! Berilyum - hcp case(9) ! ! Phase id iphase = 3 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.1 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 3 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 1. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burger1 = 2.28d-4 burger2 = 4.242d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 289.38d3 e3 = 335.17d3 g12 = 132.80d3 g13 = 162.50d3 v12 = 0.09 v13 = 0.04 ! ! crss [MPa] xtauc1 = 20.2 ! basal xtauc2 = 88.7 ! prismatic xtauc4 = 188. ! pyramidal ! ! thermal expansion coefficients [1/K] alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:12) = burger1 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc4 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! alpha-uranium - alphauranium case(10) ! ! Phase id iphase = 4 ! ! Slip model ! power law slipmodel = 3 ! ! Slip model parameters ! reference strain rate slipparam(1) = 1.0d-3 ! rate sensitivity exponent slipparam(2) = 20. ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 8 ! ! Screw systems nscrew = 0 ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burgerv(1:2) = 2.85d-4 burgerv(3:4) = 6.51d-4 burgerv(5:8) = 11.85d-4 ! ! constant factor tau_0^alpha for crss [MPa] ! calhoun 2013 values ! with temperature dependence as in zecevic 2016 ! added after hardening is included tauc_0(1) = 24.5 tauc_0(2) = 85.5 tauc_0(3) = 166.5 tauc_0(4) = 166.5 tauc_0(5) = 235.0 tauc_0(6) = 235.0 tauc_0(7) = 235.0 tauc_0(8) = 235.0 ! ! ! ! elastic moduli [MPa] and poissons ratios ! see prs literature review by philip earp ! short crack propagation in uranium, an anisotropic polycrystalline metal ! temperature dependence according to daniel 1971 e1 = 203665.987780 * (1.0 - 0.000935*(temperature-293.0)) e2 = 148588.410104 * (1.0 - 0.000935*(temperature-293.0)) e3 = 208768.267223 * (1.0 - 0.000935*(temperature-293.0)) v12 = 0.242363 v13 = -0.016293 v23 = 0.387816 g12 = 74349.442379 * (1.0 - 0.000935*(temperature-293.0)) g13 = 73421.439060 * (1.0 - 0.000935*(temperature-293.0)) g23 = 124378.109453 * (1.0 - 0.000935*(temperature-293.0)) ! ! define thermal expansion coefficients as a function of temperature ! lloyd, barrett, 1966 ! thermal expansion of alpha uranium ! journal of nuclear materials 18 (1966) 55-59 alpha1 = 24.22d-6 - 9.83d-9 * temperature + + 46.02d-12 * temperature * temperature alpha2 = 3.07d-6 + 3.47d-9 * temperature - + 38.45d-12 * temperature * temperature alpha3 = 8.72d-6 + 37.04d-9 * temperature + + 9.08d-12 * temperature * temperature ! ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! UKAEA - Vikram Phalke ! copper - fcc ! no temperature dependence case(11) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 1 ! ! copper ! Slip model parameters slipparam(1) = 2.0d-5 ! rate sensitivity exponent slipparam(2) = 1. ! ! ! Geometric factor (0.1-0.5) gf = 0.2 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 14.98 ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! ! Copper xtauc1 = 1. ! ! ! Burgers vectors [micrometers] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model hardeningmodel = 5 ! ! ! ! ! ! copper ! Hardening rate - k1 hardeningparam(1)=0.06 ! Softening rate - k2 hardeningparam(2)=35. ! Latent hardening coefficient - q1 hardeningparam(3)=1.35 ! Latent hardening coefficient - q2 hardeningparam(4)=1.2 ! ! !! hardening model ! hardeningmodel = 3 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. ! ! ! irradiation model irradiationmodel = 0 ! ! ! Define Kronecker delta kdelta = 0. do is=1,nslip kdelta(is,is)=1. end do ! q1=hardeningparam(3) q2=hardeningparam(4) hintmat1=0. ! Define the hardening interaction matrix do is=1,nslip do js=1,nslip hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js) end do end do ! ! ! ! Backstress parameter backstressparam(1) = 0. ! ! ! UKAEA - Vikram Phalke ! CuCrZr - fcc ! no temperature dependence case(12) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 1 ! ! copper ! Slip model parameters slipparam(1) = 2.0d-5 ! rate sensitivity exponent slipparam(2) = 1. ! ! ! Geometric factor (0.1-0.5) gf = 0.2 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density [1/micrometer^2] rho_0(1:nslip) = 14.98 ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! ! CuCrZr xtauc1 = 84.6 ! ! ! Burgers vectors [micrometer] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model (KM with precipitates) hardeningmodel = 5 ! ! ! ! ! ! CuCrZr ! Hardening rate - k1 hardeningparam(1)=0.06 ! Softening rate - k2 hardeningparam(2)=35. ! Latent hardening coefficient - q1 hardeningparam(3)=1.35 ! Latent hardening coefficient - q2 hardeningparam(4)=1.2 ! ! Parameters related to precipitate strengthening ! Geometric/Strength factor for precipitates hardeningparam(5)=0.08 ! Number density of precipitates [1/micrometer^3] hardeningparam(6)=1.76d6 ! Particle diameter [micrometer] hardeningparam(7)=3.2d-3 ! !! hardening model ! hardeningmodel = 3 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. ! ! ! irradiation model irradiationmodel = 0 ! ! ! Define Kronecker delta kdelta = 0. do is=1,nslip kdelta(is,is)=1. end do ! q1=hardeningparam(3) q2=hardeningparam(4) hintmat1=0. ! Define the hardening interaction matrix do is=1,nslip do js=1,nslip hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js) end do end do ! ! ! ! Backstress parameter backstressparam(1) = 0. ! ! ! case default ! call error(1) ! end select ! ! *** set up elastic stiffness matrix in lattice system *** ! http://solidmechanics.org/Text/Chapter3_2/Chapter3_2.php#Sect3_2_11 ! however, the voigt notation in abaqus for strain and stress vectors ! has the following order: ! stress = (sigma11,sigma22,sigma33,tau12 tau13 tau23) ! strain = (epsilon11,epsilon22,epsilon33,gamma12,gamma13,gamma23) ! Calculate the remaining Poisson's ratios v21 = e2/e1*v12 v31 = e3/e1*v13 v32 = e3/e2*v23 ! ! constant as a factor cst = 1./(1.-v12*v21-v23*v32-v31*v13 + -2.*v21*v32*v13) ! Cc=0. Cc(1,1) = e1*(1.-v23*v32)*cst Cc(2,2) = e2*(1.-v13*v31)*cst Cc(3,3) = e3*(1.-v12*v21)*cst Cc(1,2) = e1*(v21+v31*v23)*cst Cc(1,3) = e1*(v31+v21*v32)*cst Cc(2,3) = e2*(v32+v12*v31)*cst Cc(4,4) = g12 Cc(5,5) = g13 Cc(6,6) = g23 ! ! symmetrize compliance matrix Cc(2,1) = Cc(1,2) Cc(3,1) = Cc(1,3) Cc(3,2) = Cc(2,3) ! ! ! ! define thermal eigenstrain in the lattice system alphamat=0. alphamat(1,1) = alpha1 alphamat(2,2) = alpha2 alphamat(3,3) = alpha3 ! ! ! ! return ! end subroutine materialparam ! ! ! ! ! end module usermaterials ================================================ FILE: Example - Polycrytal with PROPS/useroutputs.f ================================================ ! Nov. 11th, 2022 ! Eralp Demir ! ! This is written to define the outputs for post-processing ! module useroutputs implicit none ! ! ! GLOBAL VARIABLES USED IN POST-PROCESSING ! ------------------------------------------------------------------------------- ! ! Flags for different outputs (22-30 custom outputs) integer, public :: statev_outputs(30) ! ! Set the desired outputs by setting 0 / 1 ! in the "defineoutputs" subroutine in the below! ! ! ! ! Number of outputs - will be computed integer, public :: nstatv_outputs ! ! ! ------------------------------------------------------------------------------- ! contains ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine defineoutputs ! use userinputs, only : maxnslip, maxnloop ! implicit none ! ! Variables used in the subroutine integer :: i, ind ! ! ! List of variables ! Set the flag to "1" if requested ! ! 1st State-variable output / number of outputs: 9 ! Crystal to Sample tranformation: statev_gmatinv statev_outputs(1) = 0 ! ! 2nd State-variable output / number of outputs: 1 ! Equivalent Von-Mises plastic total strain: statev_evmp statev_outputs(2) = 0 ! ! 3rd State-variable output / number of outputs: 1 ! Maximum ratio of rss to crss: statev_maxx statev_outputs(3) = 0 ! ! 4th State-variable output / number of outputs: 6 ! Elastic strains in the crystal frame: statev_Eec statev_outputs(4) = 0 ! ! 5th State-variable output / number of outputs: 9 ! Lattice curvature: statev_curvature statev_outputs(5) = 0 ! ! 6th State-variable output / number of outputs: 1 ! Total statistically-stored dislocation density: statev_ssdtot statev_outputs(6) = 0 ! ! 7th State-variable output / number of outputs: 1 ! Substructure dislocation density: statev_substructure statev_outputs(7) = 0 ! ! 8th State-variable output / number of outputs: 1 ! Solute strength: statev_tausolute statev_outputs(8) = 0 ! ! 9th State-variable output / number of outputs: 1 ! Cumulative slip: statev_totgammasum statev_outputs(9) = 0 ! ! 10th State-variable output / number of outputs: maxnslip ! Total slip per slip system: statev_gammasum statev_outputs(10) = 1 ! ! 11th State-variable output / number of outputs: maxnslip ! Slip rate: statev_gammadot statev_outputs(11) = 0 ! ! 12nd State-variable output / number of outputs: maxnslip ! Critical Resolved Shear Stress: statev_tauc statev_outputs(12) = 0 ! ! 13rd State-variable output / number of outputs: maxnslip ! Statistically-Stored Dislocation Density: statev_ssd statev_outputs(13) = 0 ! ! 14th State-variable output / number of outputs: maxnslip*2 ! Geometrically Necessary Dislocation Density: statev_gnd statev_outputs(14) = 0 ! ! 15th State-variable output / number of outputs: maxnslip ! Foresty Dislocation Density: statev_forest statev_outputs(15) = 0 ! ! 16th State-variable output / number of outputs: maxnloop ! Defect Loop Density: statev_loop statev_outputs(16) = 0 ! ! 17th State-variable output / number of outputs: maxnslip ! Backstress: statev_backstress statev_outputs(17) = 0 ! ! 18th State-variable output / number of outputs: 1 ! Total GND density statev_outputs(18) = 0 ! ! 19th State-variable output / number of outputs: 1 ! Plastic dissipation power density statev_outputs(19) = 0 ! ! 20st State-variable output / number of outputs: 1 ! Fatemi Socie parameter statev_outputs(20) = 0 ! ! 21-30 custom outputs ! Need to be defined here! statev_outputs(21) = 0 statev_outputs(22) = 0 statev_outputs(23) = 0 statev_outputs(24) = 0 statev_outputs(25) = 0 statev_outputs(26) = 0 statev_outputs(27) = 0 statev_outputs(28) = 0 statev_outputs(29) = 0 statev_outputs(30) = 0 ! ! ! ! ! ! ! ! Count the user-defined outputs nstatv_outputs=0 ! Find the total number of state variable outputs if (statev_outputs(1)==1) then nstatv_outputs=nstatv_outputs+9 endif if (statev_outputs(2)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(3)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(4)==1) then nstatv_outputs=nstatv_outputs+6 endif if (statev_outputs(5)==1) then nstatv_outputs=nstatv_outputs+9 endif if (statev_outputs(6)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(7)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(8)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(9)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(10)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(11)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(12)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(13)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(14)==1) then nstatv_outputs=nstatv_outputs+maxnslip*2 endif if (statev_outputs(15)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(16)==1) then nstatv_outputs=nstatv_outputs+maxnloop endif if (statev_outputs(17)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(18)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(19)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(20)==1) then nstatv_outputs=nstatv_outputs+1 endif ! ! ! Custom outputs need to be filled here! ! ! ! ! ! end subroutine defineoutputs ! ! ! ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine checkoutputs(nstatv) use errors, only: error implicit none ! Number of state variables integer, intent(in) :: nstatv ! ! Check if defined correctly if (nstatv_outputs > nstatv) then write(*,*) 'There are ', + nstatv_outputs, ' number of outputs!' write(*,*) 'But, ', + nstatv, ' number of outputs were defined in DEPVAR!' ! error message in .dat file call error(6) end if ! end subroutine checkoutputs ! ! ! ! ! ! ! subroutine write_statev_legend use userinputs, only : maxnslip, maxnloop ! implicit none ! integer count, i character*2 ij ! ! Write the legend of the output variables (nstatv) ! Outputs to extract: ! 1: Transformation matrix from crystal to sample (x9) ! 2: Equivalent Von-Mises plastic strain (x1) ! 3: Maximum ratio of rss to crss (x1) ! 4: Elastic strain in crystal frame (x6) ! 5: Lattice curvature (x9) ! 6: SSD total (x1) ! 7: Substructure density (x1) ! 8: Solute strength (x1) ! 9: cumulative slip (x1) ! 10: total slip per slip system (x maxnslip) ! 11: slip rates per slip system (x maxnslip) ! 12: CRSS (x maxnslip) ! 13: SSD (x maxnslip) ! 14: GND (x maxnslip) ! 15: Forest (x maxnslip) ! 16: Loop (x maxnloop) ! 17: Backstress (x maxnslip) ! 18: GND density (x1) ! 19: Plastic dissipation power density (x1) ! 20: Fatemi Socie parameter (x1) ! 21-30: Custom outputs ! ! ! ! ! ! count = 0 open(100,file='../STATEV_legend.txt',action='write', + status='replace') ! ! ! ! ! ! ! ! State variable-1 if (statev_outputs(1) == 1) then ! do i = 1, 9 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'xy' case(3) ij = 'xz' case(4) ij = 'yx' case(5) ij = 'yy' case(6) ij = 'yz' case(7) ij = 'zx' case(8) ij = 'zy' case(9) ij = 'zz' ! end select ! ! ! write(100,'(A7,I3,A37,A2,A4)') + 'STATEV-', count, + ': Crystal to Sample transformation -', ij, ' [-]' ! end do ! ! endif ! ! ! ! ! State variable-2 if (statev_outputs(2) == 1) then ! ! ! count = count + 1 ! ! ! write(100,'(A7,I3,A39,A4)') + 'STATEV-', count, + ': Equivalent Von-Mises plastic strain', ' [-]' ! ! ! ! endif ! ! ! State variable-3 if (statev_outputs(3) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A32,A4)') + 'STATEV-', count, + ': Maximum ratio of rss to crss', ' [-]' ! ! ! ! endif ! ! ! ! State variable-4 if (statev_outputs(4) == 1) then ! do i = 1, 6 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'yy' case(3) ij = 'zz' case(4) ij = 'xy' case(5) ij = 'xz' case(6) ij = 'yz' ! end select ! ! ! write(100,'(A7,I3,A36,A2,A6)') + 'STATEV-', count, + ': Elastic strain in crystal frame-', ij, ' [MPa]' ! end do ! ! endif ! ! ! ! ! ! State variable-5 if (statev_outputs(5) == 1) then ! do i = 1, 9 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'xy' case(3) ij = 'xz' case(4) ij = 'yx' case(5) ij = 'yy' case(6) ij = 'yz' case(7) ij = 'zx' case(8) ij = 'zy' case(9) ij = 'zz' ! end select ! ! ! write(100,'(A7,I3,A21,A2,A15)') + 'STATEV-', count, + ': Lattice curvature', ij, ' [1/micrometer]' ! end do ! ! endif ! ! ! ! ! ! ! ! ! ! State variable-6 if (statev_outputs(6) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A21,A17)') + 'STATEV-', count, + ': total SSD density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! ! State variable-7 if (statev_outputs(7) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A24,A17)') + 'STATEV-', count, + ': substructure density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! State variable-8 if (statev_outputs(8) == 1) then ! ! ! count = count + 1 ! ! ! write(100,'(A7,I3,A19,A6)') + 'STATEV-', count, + ': solute strength', ' [MPa]' ! ! ! ! endif ! ! ! State variable-9 if (statev_outputs(9) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A19,A4)') + 'STATEV-', count, + ': cumulative slip', ' [-]' ! ! ! ! endif ! ! ! ! ! State variable-10 if (statev_outputs(10) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A30,I2,A4)') + 'STATEV-', count, + ': Total slip on slip system-', i, ' [-]' ! end do ! ! endif ! ! ! ! ! State variable-11 if (statev_outputs(11) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A29,I2,A6)') + 'STATEV-', count, + ': Slip rate of slip system-', i, ' [1/s]' ! end do ! ! endif ! ! ! State variable-12 if (statev_outputs(12) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A24,I2,A6)') + 'STATEV-', count, + ': CRSS on slip system-', i, ' [MPa]' ! end do ! ! endif ! ! ! ! ! State variable-13 if (statev_outputs(13) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': SSD density of slip system-', i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! ! ! State variable-14 if (statev_outputs(14) == 1) then ! do i = 1, maxnslip*2 ! count = count + 1 ! ! Edge dislocation if (i <= maxnslip) then ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': Edge dislocation density-', i, ' [1/micrometer^2]' ! else ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': Screw dislocation density-', i-maxnslip, ' [1/micrometer^2]' ! end if ! ! end do ! ! endif ! ! ! State variable-15 if (statev_outputs(15) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A46,I2,A17)') + 'STATEV-', count, + ': Forest dislocation density of slip system-', + i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! State variable-16 if (statev_outputs(16) == 1) then ! do i = 1, maxnloop ! count = count + 1 ! ! ! write(100,'(A7,I3,A46,I2,A17)') + 'STATEV-', count, + ': Loop dislocation density of defect system-', + i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! State variable-17 if (statev_outputs(17) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A30,I2,A6)') + 'STATEV-', count, + ': Backstress on slip system-', + i, ' [MPa]' ! end do ! ! endif ! ! State variable-18 if (statev_outputs(18) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A21,A17)') + 'STATEV-', count, + ': Total GND density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! State variable-19 if (statev_outputs(19) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A37,A5)') + 'STATEV-', count, + ': Plastic dissipation power density', ' [nW]' ! ! ! ! endif ! ! State variable-20 if (statev_outputs(20) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A26,A4)') + 'STATEV-', count, + ': Fatemi Socie parameter', ' [-]' ! ! ! ! endif ! close(100) ! ! ! ! ! ! return end subroutine write_statev_legend ! ! ! ! ! ! ! subroutine assignoutputs(noel,npt,nstatv,statev) use globalvariables, only: statev_gmatinv, + statev_evmp, statev_maxx, statev_Eec, + statev_curvature, statev_backstress_t, + statev_ssdtot, statev_substructure, + statev_tausolute, statev_totgammasum, + statev_gammasum, statev_gammadot, + statev_tauceff, statev_ssd, statev_loop, statev_gnd_t, + statev_forest, statev_plasdiss use userinputs, only: maxnslip, maxnloop use utilities, only: matvec9 implicit none ! Element number integer, intent(in) :: noel ! Integration point integer, intent(in) :: npt ! Number of state variables integer, intent(in) :: nstatv ! Values of state variables real(8), intent(inout) :: statev(nstatv) ! Other variables integer :: i, j real(8) :: d6(6), d9(9), d1 real(8) :: gnd(maxnslip*2) ! Outputs to extract: ! 1: Transformation matrix from crystal to sample (x9) ! 2: Equivalent Von-Mises plastic strain (x1) ! 3: Maxium ratio of rss to crss (x1) ! 4: Elastic strain in crystal frame (x6) ! 5: Lattice curvature (x9) ! 6: SSD total (x1) ! 7: Substructure density (x1) ! 8: Solute strength (x1) ! 9: Cumulative slip (x1) ! 10: Total slip per slip system (x maxnslip) ! 11: Slip rates per slip system (x maxnslip) ! 12: Effective CRSS (x maxnslip) ! 13: SSD (x maxnslip) ! 14: GND (x maxnslip) ! 15: Forest (x maxnslip) ! 16: Loop density (x maxnloop) ! 17: Backstress (x maxnslip) ! 18: Total GND density (x1) ! 19: Plastic dissipation (x1) ! 20: Fatemi Socie parameter (x1) ! 21-30: Custom outputs ! ! ! Reset the counter i=0 ! ! State variable-1 ! Transformation matrix from crystal to sample (x9) if (statev_outputs(1)==1) then ! ! ! call matvec9(statev_gmatinv(noel,npt,:,:),d9) ! do j = 1, 9 ! i = i + 1 statev(i) = d9(j) ! end do ! end if ! ! ! ! State variable-2 ! Equivalent Von-Mises plastic strain (x1) if (statev_outputs(2)==1) then ! i = i + 1 statev(i) = statev_evmp(noel,npt) ! end if ! ! ! State variable-3 ! Maxium ratio of rss to crss (x1) if (statev_outputs(3)==1) then ! i = i + 1 statev(i) = statev_maxx(noel,npt) ! end if ! ! ! State variable-4 ! Elastic strain in crystal frame (x6) if (statev_outputs(4)==1) then ! ! do j = 1, 6 i = i + 1 statev(i) = statev_Eec(noel,npt,j) end do ! ! end if ! ! ! State variable-5 ! Lattice curvature (x9) if (statev_outputs(5)==1) then ! d9 = statev_curvature(noel,npt,:) ! do j = 1, 9 ! i = i + 1 statev(i) = d9(j) ! end do ! ! end if ! ! ! State variable-6 ! SSD total (x1) if (statev_outputs(6)==1) then ! i = i + 1 statev(i) = statev_ssdtot(noel,npt) ! end if ! ! ! ! State variable-7 ! Substructure density (x1) if (statev_outputs(7)==1) then ! i = i + 1 statev(i) = statev_substructure(noel,npt) ! end if ! ! ! State variable-8 ! Solute strength (x1) if (statev_outputs(8)==1) then ! i = i + 1 statev(i) = statev_tausolute(noel,npt) ! end if ! ! ! State variable-9 ! Cumulative slip (x1) if (statev_outputs(9)==1) then ! i = i + 1 statev(i) = statev_totgammasum(noel,npt) ! end if ! ! ! State variable-10 ! Total slip per slip system (x maxnslip) if (statev_outputs(10)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_gammasum(noel,npt,j) end do ! end if ! ! ! State variable-11 ! Slip rates per slip system (x maxnslip) if (statev_outputs(11)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_gammadot(noel,npt,j) end do ! end if ! ! State variable-12 ! CRSS (x maxnslip) if (statev_outputs(12)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_tauceff(noel,npt,j) end do ! end if ! ! ! State variable-13 ! SSD (x maxnslip) if (statev_outputs(13)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_ssd(noel,npt,j) end do ! end if ! ! ! State variable-14 ! GND (x maxnslip) if (statev_outputs(14)==1) then ! do j = 1, maxnslip*2 i = i + 1 statev(i) = statev_gnd_t(noel,npt,j) end do ! end if ! ! ! State variable-15 ! Forest density (x maxnslip) if (statev_outputs(15)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_forest(noel,npt,j) end do ! end if ! ! State variable-16 ! Loop density (x maxnloop) if (statev_outputs(16)==1) then ! do j = 1, maxnloop i = i + 1 statev(i) = statev_loop(noel,npt,j) end do ! end if ! ! ! State variable-17 ! Backstress (x maxnslip) if (statev_outputs(17)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_backstress_t(noel,npt,j) end do ! end if ! ! State variable-18 ! GND total (x1) if (statev_outputs(18)==1) then ! i = i + 1 gnd = statev_gnd_t(noel,npt,1:2*maxnslip) statev(i) = sqrt(sum(gnd*gnd)) ! end if ! ! State variable-19 ! Plastic dissipation power density (x1) if (statev_outputs(19)==1) then ! i = i + 1 statev(i) = statev_plasdiss(noel,npt) ! end if ! ! State variable-20 ! Fatemi Socie parameter (x1) if (statev_outputs(20)==1) then ! i = i + 1 call FatemiSocie_parameter(noel,npt,d1) statev(i) = d1 ! end if ! ! ! Custom state variables 21-30 ! Please add custom outputs here! ! ! ! ! return end subroutine assignoutputs ! ! !! ! ! ! ! Subroutine to calculate Fatemi Socie parameter subroutine FatemiSocie_parameter(noel,npt,FSp) use userinputs, only: maxnslip use globalvariables, only: statev_sigma, statev_gammasum, + statev_gmatinv, statev_tauceff, materialid, norc_0_all use utilities, only: vecmat6 implicit none integer, intent(in) :: noel integer, intent(in) :: npt real(8), intent(out) :: FSp ! Variables used in the subroutine real(8) :: sig6(6), sig3x3(3,3) real(8) :: gammasum(maxnslip) real(8) :: gmatinv(3,3) real(8) :: tauceff(maxnslip), tauceffmax integer :: matid real(8) :: norc(3), nors(3) real(8) :: shmax, sigmax, k integer :: ismax, is, i, j ! ! Input parameter "k" ! Reference: https://doi.org/10.1016/j.ijfatigue.2011.01.003 k = 0.5 ! ! FSp=0. sig6 = statev_sigma(noel,npt,:) gammasum = statev_gammasum(noel,npt,:) gmatinv = statev_gmatinv(noel,npt,:,:) tauceff = statev_tauceff(noel,npt,:) matid = materialid(noel,npt) ! ! ! Find maximum slip shmax=0. do is=1,maxnslip if (abs(gammasum(is)).gt.shmax) then shmax = abs(gammasum(is)) ismax = is end if end do ! ! Maximum CRSS tauceffmax = tauceff(ismax) ! ! Slip plane normal of maximum slip norc = norc_0_all(matid,ismax,:) ! ! Transform to sample reference nors = matmul(gmatinv,norc) ! ! Convert stress to 3x3 matrix call vecmat6(sig6,sig3x3) ! ! Project stress to the slip plane of maximum slip sigmax = 0. do i = 1, 3 do j = 1, 3 sigmax = sigmax + + nors(i)*sig3x3(i,j)*nors(j) end do end do ! ! Parameter calculation FSp = shmax/2.*(1.+k*sigmax/tauceffmax) ! ! return end subroutine FatemiSocie_parameter ! ! ! end module useroutputs ================================================ FILE: Example - Polycrytal with PROPS/utilities.f ================================================ ! ************************************************* ! ************************************************* ! * UTILITY SUBROUTINES * ! ************************************************* ! ************************************************* ! Updated on Sept 23rd, 2022 ! Reorganized by Eralp Demir ! Converged into a module file ! Function trace is written as a subroutine ! ! module utilities implicit none contains ! ! ! ************************************************* ! * TRACE OF A 3X3 MATRIX * ! ************************************************* subroutine trace3x3(a,aii) implicit none real(8), intent(in) :: a(3,3) real(8), intent(out) :: aii ! aii = a(1,1)+a(2,2)+a(3,3) ! return end subroutine trace3x3 ! ! ! ! ************************************************* ! * TRACE OF A2X2 MATRIX * ! ************************************************* subroutine trace2x2(a,aii) implicit none real(8), intent(in) :: a(2,2) real(8), intent(out) :: aii ! aii = a(1,1)+a(2,2) ! return end subroutine trace2x2 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR * ! ************************************************* subroutine vecmat9(dvin,dmout) implicit none real(8), intent(in) :: dvin(9) real(8), intent(out) :: dmout(3,3) integer :: i ! dmout(1,1) = dvin(1) dmout(1,2) = dvin(2) dmout(1,3) = dvin(3) ! dmout(2,1) = dvin(4) dmout(2,2) = dvin(5) dmout(2,3) = dvin(6) ! dmout(3,1) = dvin(7) dmout(3,2) = dvin(8) dmout(3,3) = dvin(9) ! return end subroutine vecmat9 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR * ! ************************************************* subroutine matvec9(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(9) integer :: i ! dvout(1) = dmin(1,1) dvout(2) = dmin(1,2) dvout(3) = dmin(1,3) ! dvout(4) = dmin(2,1) dvout(5) = dmin(2,2) dvout(6) = dmin(2,3) ! dvout(7) = dmin(3,1) dvout(8) = dmin(3,2) dvout(9) = dmin(3,3) ! return end subroutine matvec9 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 6X1 COLUMN VECTOR * ! ************************************************* subroutine matvec6(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(6) integer :: i ! do i=1,3 dvout(i)=dmin(i,i) end do ! dvout(4) = (dmin(1,2)+dmin(2,1))/2. dvout(5) = (dmin(1,3)+dmin(3,1))/2. dvout(6) = (dmin(2,3)+dmin(3,2))/2. ! return end subroutine matvec6 ! ! ! ************************************************* ! * TRANSFER 6X1 COLUMN VECTOR TO 3X3 MATRIX * ! ************************************************* ! subroutine vecmat6(dvin,dmout) implicit none real(8), intent(in) :: dvin(6) real(8), intent(out) :: dmout(3,3) integer :: i ! do i=1,3 dmout(i,i) = dvin(i) end do ! dmout(1,2) = dvin(4) dmout(2,1) = dvin(4) dmout(1,3) = dvin(5) dmout(3,1) = dvin(5) dmout(3,2) = dvin(6) dmout(2,3) = dvin(6) ! return end subroutine vecmat6 ! ! ! ************************************************* ! * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 * ! ************************************************* subroutine vecprod(dvin1,dvin2,dvout) implicit none real(8), intent(in) :: dvin1(3), dvin2(3) real(8), intent(out) :: dvout(3) ! dvout(1)=dvin1(2)*dvin2(3)-dvin1(3)*dvin2(2) dvout(2)=dvin1(3)*dvin2(1)-dvin1(1)*dvin2(3) dvout(3)=dvin1(1)*dvin2(2)-dvin1(2)*dvin2(1) ! return end subroutine vecprod ! ! ! ************************************************* ! * DOT PRODUCT OF 3X1 WITH 3X1 GIVING 1X1 * ! ************************************************* subroutine dotprod(dvin1,dvin2,dvout) implicit none real(8), intent(in) :: dvin1(3), dvin2(3) real(8), intent(out) :: dvout(3) ! dvout = dvin1(1)*dvin2(1)+dvin1(2)*dvin2(2)+dvin1(3)*dvin2(3) dvout = abs(dvout) ! return end subroutine dotprod ! ! ! **************************************************** ! * TRANSFER GENERAL 3X3 MATRIX TO 6X1 COLUMN VECTOR * ! **************************************************** ! Off-diagonal terms are doubled! ! This is valid for shear conversion only! subroutine gmatvec6(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(6) integer :: i ! do i=1,3 dvout(i)=dmin(i,i) end do ! dvout(4) = dmin(1,2)+dmin(2,1) dvout(5) = dmin(3,1)+dmin(1,3) dvout(6) = dmin(2,3)+dmin(3,2) ! return end subroutine gmatvec6 ! ! ************************************************* ! * INVERSE OF A MATRIX WITH LAPACK * ! ************************************************* ! Checked inverse against python's numpy.linalg.inv subroutine lapinverse(xmatin,m,info,xmatout) implicit none ! integer,intent(in) :: m real(8),intent(in):: xmatin(m,m) !abaqus won't allow xmatin(:,:) ! integer,parameter :: lwork = 64 real(8),parameter :: zero=1.0d-12 integer :: i,j ! integer,intent(out) :: info real(8),intent(out) :: xmatout(m,m) integer :: ipiv(m) real(8) :: a(m,m) real(8) :: work(lwork) ! ! ! https://software.intel.com/en-us/mkl-developer-reference-fortran-getri#626EB2AE-CA6A-4233-A6FA-04F54EF7A6E6 ! ! EXTERNAL DGETRI, DGETRF ! ! ! xmatout = 0. ! ED: I have added to run this ! The next line shall be removed info=1 ! a = xmatin !don't input array xmatin ! ! call DGETRF( m, m, a, m, ipiv, info ) ! if(info == 0) then ! call DGETRI( m, a, m, ipiv, work, lwork, info ) !write(*,*) "work(1) == min lwork needed", work(1) else xmatout = 0. ! write(*,*)"dgetrf, illegal value at = ",-info,". no inverse" end if ! do i=1,m; do j=1,m; if (abs(a(i,j))<= zero) a(i,j) = 0. end do end do xmatout = a ! ! ! ! return end subroutine lapinverse ! ! ! ! ! **************************************************** ! * INVERSE OF A MATRIX WITHOUT LAPACK * ! **************************************************** ! subroutine nolapinverse(ain,c,n) ! ============================================================ ! Inverse matrix ! Method: Based on Doolittle LU factorization for Ax=b ! Alex G. December 2009 ! ----------------------------------------------------------- ! input ... ! a(n,n) - array of coefficients for matrix A ! n - dimension ! output ... ! c(n,n) - inverse matrix of A ! ! =========================================================== implicit none ! integer, intent(in) :: n real(8), intent(out) :: c(n,n) real(8), intent(in) :: ain(n,n) real(8) :: L(n,n), U(n,n), b(n), d(n), x(n) real(8) :: coeff, a(n,n) integer :: i, j, k ! ! step 0: initialization for matrices L and U and b ! Fortran 90/95 allows such operations on matrices L=0. U=0. b=0. a=ain ! ! step 1: forward elimination do k=1,n-1 do i=k+1,n coeff=a(i,k)/a(k,k) L(i,k) = coeff do j=k+1,n a(i,j) = a(i,j)-coeff*a(k,j) end do end do end do ! ! Step 2: prepare L and U matrices ! L matrix is a matrix of the elimination coefficient ! + the diagonal elements are 1.0 do i=1,n L(i,i) = 1.0 end do ! U matrix is the upper triangular part of A do j=1,n do i=1,j U(i,j) = a(i,j) end do end do ! ! Step 3: compute columns of the inverse matrix C do k=1,n b(k)=1.0 d(1) = b(1) ! Step 3a: Solve Ld=b using the forward substitution do i=2,n d(i)=b(i) do j=1,i-1 d(i) = d(i) - L(i,j)*d(j) end do end do ! Step 3b: Solve Ux=d using the back substitution x(n)=d(n)/U(n,n) do i = n-1,1,-1 x(i) = d(i) do j=n,i+1,-1 x(i)=x(i)-U(i,j)*x(j) end do x(i) = x(i)/u(i,i) end do ! Step 3c: fill the solutions x(n) into column k of C do i=1,n c(i,k) = x(i) end do b(k)=0.0 end do ! end subroutine nolapinverse ! ! ! ! ! ! ************************************************* ! * SUBROUTINE MATRIX SQUARE ROOT * ! ************************************************* ! subroutine msqrt(a,b) implicit none real(8), intent(inout) :: a(3,3) real(8), intent(out) :: b(3,3) integer :: i real(8) :: diag(3,3), q(3,3), d(3), + qtrans(3,3), res(3,3) ! ! diag=0.; b=0.; q=0.;res=0.;d=0. ! call jacobi(a,3,d,q) call eigsrt(d,q,3) ! do i=1,3 if (d(i) .ge. 0) then diag(i,i)=sqrt(d(i)) else write (6,*) 'the matrix is not positive definite' end if end do ! res = matmul(q,diag) b = matmul(res,transpose(q)) ! return end subroutine msqrt ! ! ! ! ************************************************* ! * SUBROUTINE MATRIX EIGENVALUES AND EIGENVECTORS* ! ************************************************* ! subroutine jacobi(a,n,d,v) implicit none integer, intent(in) :: n real(8), intent(inout) :: a(n,n) real(8), intent(out) :: d(n), v(n,n) ! integer, parameter :: nmax=500 integer :: i, j, ip, iq, nrot real(8) :: b(nmax), z(nmax), dial(n,n), + sm, tresh, g, h, t, theta, c, s, ta ! ! do ip=1,n do iq=1,n v(ip,iq)=0. end do v(ip,ip)=1. end do ! do ip=1,n b(ip)=a(ip,ip) d(ip)=b(ip) z(ip)=0. end do ! nrot=0 do i=1,50 sm=0. do ip=1,n-1 do iq=ip+1,n sm=sm+abs(a(ip,iq)) end do end do ! if (sm .eq. 0.) return if (i .lt. 4) then tresh=0.2*sm/n**2 else tresh=0. end if ! do ip=1,n-1 do iq=ip+1,n g=100.*abs(a(ip,iq)) if ((i .gt. 4) .and. (abs(d(ip))+g .eq. abs(d(ip))) + .and. (abs(d(ip))+g .eq. abs(d(iq)))) then a(ip,iq)=0. else if (abs(a(ip,iq)) .gt. tresh) then h=d(iq)-d(ip) if (abs(h)+g .eq. abs(h)) then t=a(ip,iq)/h else theta=0.5*h/a(ip,iq) t=1./(abs(theta)+sqrt(1.+theta**2)) if (theta .lt. 0) t=-t end if c=1./sqrt(1.+t**2) s=t*c ta=s/(1.+c) h=t*a(ip,iq) z(ip)=z(ip)-h z(iq)=z(iq)+h d(ip)=d(ip)-h d(iq)=d(iq)+h a(ip,iq)=0. ! do j=1,ip-1 g=a(j,ip) h=a(j,iq) a(j,ip)=g-s*(h+g*ta) a(j,iq)=h+s*(g-h*ta) end do ! do j=ip+1,iq-1 g=a(ip,j) h=a(j,iq) a(ip,j)=g-s*(h+g*ta) a(j,iq)=h+s*(g-h*ta) end do ! do j=iq+1,n g=a(ip,j) h=a(iq,j) a(ip,j)=g-s*(h+g*ta) a(iq,j)=h+s*(g-h*ta) end do ! do j=1,n g=v(j,ip) h=v(j,iq) v(j,ip)=g-s*(h+g*ta) v(j,iq)=h+s*(g-h*ta) end do ! nrot=nrot+1 end if end do end do ! do ip=1,n b(ip)=b(ip)+z(ip) d(ip)=b(ip) z(ip)=0. end do end do ! ! return end subroutine jacobi ! ! ! ************************************************* ! * SUBROUTINE SORT EIGENVALUES * ! ************************************************* ! subroutine eigsrt(d,v,n) implicit none integer, intent(in) :: n real(8), intent(inout) :: d(n) real(8), intent(inout) :: v(n,n) ! integer :: i, j, k real(8) :: p ! do i=1,n-1 k=i p=d(i) do j=i+1,n if(d(j).ge.p)then k=j p=d(j) endif end do if(k.ne.i)then d(k)=d(i) d(i)=p do j=1,n p=v(j,i) v(j,i)=v(j,k) v(j,k)=p end do endif end do ! return end subroutine eigsrt ! ! ! ************************************************* ! * THE DETERMINANT OF A 3X3 MATRIX * ! ************************************************* subroutine deter3x3(dmin,d) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: d ! d = 0. d = dmin(1,1)*dmin(2,2)*dmin(3,3) + + dmin(1,2)*dmin(2,3)*dmin(3,1) + + dmin(2,1)*dmin(3,2)*dmin(1,3) - + dmin(1,3)*dmin(2,2)*dmin(3,1) - + dmin(1,1)*dmin(2,3)*dmin(3,2) - + dmin(1,2)*dmin(2,1)*dmin(3,3) ! return end subroutine deter3x3 ! ! ! ************************************************* ! * THE DETERMINANT OF A 2X2 MATRIX * ! ************************************************* subroutine deter2x2(dmin,d) implicit none real(8), intent(in) :: dmin(2,2) real(8), intent(out) :: d ! d=0. d=dmin(1,1)*dmin(2,2)-dmin(1,2)*dmin(2,1) ! return end subroutine deter2x2 ! ! ************************************************* ! * Build 4th order rotation matrix (tsigma) * ! ************************************************* ! valid for rotating symmetric tensors subroutine rotord4sig(xrot,tsigma) implicit none real(8), intent(in) :: xrot(3,3) real(8), intent(out) :: tsigma(6,6) ! tsigma(1,1) = xrot(1,1)*xrot(1,1) tsigma(1,2) = xrot(1,2)*xrot(1,2) tsigma(1,3) = xrot(1,3)*xrot(1,3) tsigma(1,4) = 2.*xrot(1,1)*xrot(1,2) tsigma(1,6) = 2.*xrot(1,2)*xrot(1,3) tsigma(1,5) = 2.*xrot(1,3)*xrot(1,1) ! tsigma(2,1) = xrot(2,1)*xrot(2,1) tsigma(2,2) = xrot(2,2)*xrot(2,2) tsigma(2,3) = xrot(2,3)*xrot(2,3) tsigma(2,4) = 2.*xrot(2,1)*xrot(2,2) tsigma(2,6) = 2.*xrot(2,2)*xrot(2,3) tsigma(2,5) = 2.*xrot(2,3)*xrot(2,1) ! tsigma(3,1) = xrot(3,1)*xrot(3,1) tsigma(3,2) = xrot(3,2)*xrot(3,2) tsigma(3,3) = xrot(3,3)*xrot(3,3) tsigma(3,4) = 2.*xrot(3,1)*xrot(3,2) tsigma(3,6) = 2.*xrot(3,2)*xrot(3,3) tsigma(3,5) = 2.*xrot(3,3)*xrot(3,1) ! tsigma(4,1) = xrot(1,1)*xrot(2,1) tsigma(4,2) = xrot(1,2)*xrot(2,2) tsigma(4,3) = xrot(1,3)*xrot(2,3) tsigma(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1) tsigma(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3) tsigma(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1) ! tsigma(6,1) = xrot(2,1)*xrot(3,1) tsigma(6,2) = xrot(2,2)*xrot(3,2) tsigma(6,3) = xrot(2,3)*xrot(3,3) tsigma(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2) tsigma(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2) tsigma(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1) ! tsigma(5,1) = xrot(3,1)*xrot(1,1) tsigma(5,2) = xrot(3,2)*xrot(1,2) tsigma(5,3) = xrot(3,3)*xrot(1,3) tsigma(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2) tsigma(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3) tsigma(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3) ! return end subroutine rotord4sig ! ! ! ************************************************* ! * Build 4th order rotation matrix (tstran) * ! ************************************************* ! valid for symmetric tensors subroutine rotord4str(xrot,tstran) implicit none real(8), intent(in) :: xrot(3,3) real(8), intent(out) :: tstran(6,6) ! tstran(1,1) = xrot(1,1)*xrot(1,1) tstran(1,2) = xrot(1,2)*xrot(1,2) tstran(1,3) = xrot(1,3)*xrot(1,3) tstran(1,4) = xrot(1,1)*xrot(1,2) tstran(1,6) = xrot(1,2)*xrot(1,3) tstran(1,5) = xrot(1,3)*xrot(1,1) ! tstran(2,1) = xrot(2,1)*xrot(2,1) tstran(2,2) = xrot(2,2)*xrot(2,2) tstran(2,3) = xrot(2,3)*xrot(2,3) tstran(2,4) = xrot(2,1)*xrot(2,2) tstran(2,6) = xrot(2,2)*xrot(2,3) tstran(2,5) = xrot(2,3)*xrot(2,1) ! tstran(3,1) = xrot(3,1)*xrot(3,1) tstran(3,2) = xrot(3,2)*xrot(3,2) tstran(3,3) = xrot(3,3)*xrot(3,3) tstran(3,4) = xrot(3,1)*xrot(3,2) tstran(3,6) = xrot(3,2)*xrot(3,3) tstran(3,5) = xrot(3,3)*xrot(3,1) ! tstran(4,1) = 2.*xrot(1,1)*xrot(2,1) tstran(4,2) = 2.*xrot(1,2)*xrot(2,2) tstran(4,3) = 2.*xrot(1,3)*xrot(2,3) tstran(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1) tstran(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3) tstran(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1) ! tstran(6,1) = 2.*xrot(2,1)*xrot(3,1) tstran(6,2) = 2.*xrot(2,2)*xrot(3,2) tstran(6,3) = 2.*xrot(2,3)*xrot(3,3) tstran(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2) tstran(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2) tstran(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1) ! tstran(5,1) = 2.*xrot(3,1)*xrot(1,1) tstran(5,2) = 2.*xrot(3,2)*xrot(1,2) tstran(5,3) = 2.*xrot(3,3)*xrot(1,3) tstran(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2) tstran(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3) tstran(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3) ! return end subroutine rotord4str ! ! ! *************************************************************** ! * Build 4th order lower (and upper) tensor product * ! * NB: When contracted from 4th to the format used for * ! * C-matrix, it turns out that the upper and lower products * ! * are the same! * ! *************************************************************** ! valid for symmetric tensors subroutine ltprod(a,b,c) implicit none real(8), intent(in) :: a(3,3), b(3,3) real(8), intent(out) :: c(6,6) integer :: i, j ! c = 0. c(1,1) = 2.*a(1,1)*b(1,1) c(1,2) = 2.*a(1,2)*b(1,2) c(1,3) = 2.*a(1,3)*b(1,3) c(1,4) = a(1,1)*b(1,2)+a(1,2)*b(1,1) c(1,5) = a(1,1)*b(1,3)+a(1,3)*b(1,1) c(1,6) = a(1,2)*b(1,3)+a(1,3)*b(1,2) ! c(2,2) = 2.*a(2,2)*b(2,2) c(2,3) = 2.*a(2,3)*b(2,3) c(2,4) = a(2,1)*b(2,2)+a(2,2)*b(2,1) c(2,5) = a(2,1)*b(2,3)+a(2,3)*b(2,1) c(2,6) = a(2,2)*b(2,3)+a(2,3)*b(2,2) ! c(3,3) = 2.*a(3,3)*b(3,3) c(3,4) = a(3,1)*b(3,2)+a(3,2)*b(3,1) c(3,5) = a(3,1)*b(3,3)+a(3,3)*b(3,1) c(3,6) = a(3,2)*b(3,3)+a(3,3)*b(3,2) ! c(4,4) = a(1,1)*b(2,2)+a(1,2)*b(2,1) c(4,5) = a(1,1)*b(2,3)+a(1,3)*b(2,1) c(4,6) = a(1,2)*b(2,3)+a(1,3)*b(2,2) ! c(5,5) = a(1,1)*b(3,3)+a(1,3)*b(3,1) c(5,6) = a(1,2)*b(3,3)+a(1,3)*b(3,2) ! c(6,6) = a(2,2)*b(3,3)+a(2,3)*b(3,2) ! do i=2,6 do j=1,i-1 c(i,j)=c(j,i) end do end do ! c = 0.5*c ! return end subroutine ltprod ! ! ! ************************************************** ! * Build 4th order tensor product (kronecker)* ! ************************************************** ! valid for symmetric tensors subroutine tprod(a,b,c) implicit none real(8), intent(in) :: a(3,3), b(3,3) real(8), intent(out) :: c(6,6) integer :: i, j ! c = 0. c(1,1) = 2.*a(1,1)*b(1,1) c(1,2) = 2.*a(1,1)*b(2,2) c(1,3) = 2.*a(1,1)*b(3,3) c(1,4) = a(1,1)*b(1,2)+a(1,1)*b(2,1) c(1,5) = a(1,1)*b(1,3)+a(1,1)*b(3,1) c(1,6) = a(1,1)*b(2,3)+a(1,1)*b(3,2) ! c(2,2) = 2.*a(2,2)*b(2,2) c(2,3) = 2.*a(2,2)*b(3,3) c(2,4) = a(2,2)*b(1,2)+a(2,2)*b(2,1) c(2,5) = a(2,2)*b(1,3)+a(2,2)*b(3,1) c(2,6) = a(2,2)*b(2,3)+a(2,2)*b(3,2) ! c(3,3) = 2.*a(3,3)*b(3,3) c(3,4) = a(3,3)*b(1,2)+a(3,3)*b(2,1) c(3,5) = a(3,3)*b(1,3)+a(3,3)*b(3,1) c(3,6) = a(3,3)*b(2,3)+a(3,3)*b(3,2) ! c(4,4) = a(1,2)*b(1,2)+a(1,2)*b(2,1) c(4,5) = a(1,2)*b(1,3)+a(1,2)*b(3,1) c(4,6) = a(1,2)*b(2,3)+a(1,2)*b(3,2) ! c(5,5) = a(1,3)*b(1,3)+a(1,3)*b(3,1) c(5,6) = a(1,3)*b(2,3)+a(1,3)*b(3,2) ! c(6,6) = a(2,3)*b(2,3)+a(2,3)*b(3,2) ! do i=2,6 do j=1,i-1 c(i,j)=c(j,i) end do end do ! c = 0.5*c ! return end subroutine tprod ! ! ! ! ************************************** ! * MULTIPLY 3x3 MATRICES * ! ************************************** subroutine mmult(dm1,dm2,dm) implicit none real(8), intent(in) :: dm1(3,3), dm2(3,3) real(8), intent(out) :: dm(3,3) integer :: i, j, k real(8) :: x ! ! do i=1,3 do j=1,3 x=0.0 do k=1,3 x=x+dm1(i,k)*dm2(k,j) end do dm(i,j)=x end do end do ! return end subroutine mmult ! ! ! This subroutine inverts a 3x3 matrix ! INPUT: Matrix --- A(3,3) ! OUTPUT: Invereted matrix, determinant --- invA(3,3),det subroutine inv3x3(A,invA,det) use globalvariables, only: smallnum implicit none real(8), intent(in) :: A(3,3) real(8), intent(out) :: invA(3,3), det integer :: i,j ! ! ! First calculate the determinant call deter3x3(A,det) ! If the determinant is greater than certain value if (abs(det) < smallnum) then invA=0.0d+0 else invA(1,1)=((A(2,2)*A(3,3))-(A(2,3)*A(3,2)))/det invA(2,1)=-((A(2,1)*A(3,3))-(A(2,3)*A(3,1)))/det invA(3,1)=((A(2,1)*A(3,2))-(A(2,2)*A(3,1)))/det invA(1,2)=-((A(1,2)*A(3,3))-(A(1,3)*A(3,2)))/det invA(2,2)=((A(1,1)*A(3,3))-(A(1,3)*A(3,1)))/det invA(3,2)=-((A(1,1)*A(3,2))-(A(1,2)*A(3,1)))/det invA(1,3)=((A(1,2)*A(2,3))-(A(1,3)*A(2,2)))/det invA(2,3)=-((A(1,1)*A(2,3))-(A(2,1)*A(1,3)))/det invA(3,3)=((A(1,1)*A(2,2))-(A(1,2)*A(2,1)))/det endif return end subroutine inv3x3 ! ! ! This subroutine inverts a 2x2 matrix ! INPUT: Matrix --- A(2,2) ! OUTPUT: Invereted matrix, determinant --- invA(2,2),det subroutine inv2x2(A,invA,det) use globalvariables, only: smallnum implicit none real(8), intent(in) :: A(2,2) real(8), intent(out) :: invA(2,2), det integer :: i,j ! ! ! First calculate the determinant call deter2x2(A,det) ! If the determinant is greater than certain value if (abs(det) < smallnum) then invA=0.0d+0 else invA(1,1) = A(2,2)/det invA(1,2) =-A(1,2)/det invA(2,1) =-A(2,1)/det invA(2,2) = A(1,1)/det endif return end subroutine inv2x2 ! ! Euler angles to crystal orientation matrix ! INPUT: Angles(deg) --- ang(3) ! OUTPUT: Orientation matrix --- R(3,3) ! USES: Number pi --- pi subroutine Euler2ori(Euler,R) use globalvariables, only : pi implicit none real(8), intent(in) :: Euler(3) real(8), intent(out) :: R(3,3) real(8) :: phi1, phi2, Phi ! ! convert to radians phi1=Euler(1)*pi/180. Phi=Euler(2)*pi/180. phi2=Euler(3)*pi/180. ! ! R=0. R(1,1)=(cos(phi1)*cos(phi2))-(sin(phi1)*sin(phi2)*cos(Phi)) R(2,1)=-(cos(phi1)*sin(phi2))-(sin(phi1)*cos(phi2)*cos(Phi)) R(3,1)=sin(phi1)*sin(Phi) R(1,2)=(sin(phi1)*cos(phi2))+(cos(phi1)*sin(phi2)*cos(Phi)) R(2,2)=-(sin(phi1)*sin(phi2))+(cos(phi1)*cos(phi2)*cos(Phi)) R(3,2)=-cos(phi1)*sin(Phi) R(1,3)=sin(phi2)*sin(Phi) R(2,3)=cos(phi2)*sin(Phi) R(3,3)=cos(Phi) ! return end subroutine Euler2ori ! ! ! Orientation matrix from Euler angles ! INPUT: Orientation matrix --- R(3) ! OUTPUT: Bunge angles(deg) --- ang(3) ! USES: Number pi --- pi subroutine ori2Euler(R,Euler) use globalvariables, only : pi implicit none real(8), intent(in) :: R(3,3) real(8), intent(out) :: Euler(3) real(8) :: phi1, phi2, Phi ! if (R(3,3).eq.1.) then Phi=0. phi1=atan2(R(1,2),R(1,1)) phi2=0. else Phi=acos(R(3,3)) phi1=atan2(R(3,1)/sin(Phi),-R(3,2)/sin(Phi)) phi2=atan2(R(1,3)/sin(Phi),R(2,3)/sin(Phi)) endif Euler(1)=phi1 Euler(2)=Phi Euler(3)=phi2 ! convert to degrees Euler=Euler*180./pi ! return end subroutine ori2Euler ! ! ! This subroutine calculates inverse of a square matrix ! by singular value decomposition subroutine SVDinverse(A,n,invA,err) use globalvariables, only: smallnum implicit none integer n real(8), intent(in) :: A(n,n) real(8), intent(out) :: invA(n,n) integer, intent(out) :: err ! local variables real(8) :: w(n), V(n,n), U(n,n) real(8) :: invS(n,n), tol integer :: i ! ! ! tolerance value tol = sqrt(smallnum) ! U = A ! Singular Value Decomposition call svdcmp(U,n,n,n,n,w,V,err) ! ! subroutine returns ! U = A ! V = V ! S(i,i) = w(i) ! ! Calculate the inverse ! A = U * S * V^T ! invA = V * inv(S) * U^T ! inv(S) is the pseudo inverse 1/w(i) ! ! If there is no error if (err==0) then ! invS = 0. do i = 1, n if (abs(w(i)) > tol) then invS(i,i) = 1. / w(i) end if end do ! Corrected by Alvaro invA = matmul(matmul(V,invS),transpose(U)) ! In case of an error else ! V = 0. invA = 0. ! ! end if ! end subroutine SVDinverse ! ! ! Generalized inverse by singular value decomposition ! Written by Alvaro Martinez 08-03-2023 ! subroutine SVDgeninverse(A,n,m,invA,err) use globalvariables, only: smallnum implicit none integer, intent(in) :: n integer, intent(in) :: m real(8), intent(in) :: A(n,m) real(8), intent(out) :: invA(m,n) integer, intent(out) :: err ! local variables real(8) :: w(m), V(m,m), U(n,m) real(8) :: invS(m,m), tol integer :: i ! ! ! tolerance value tol = sqrt(smallnum) ! U = A ! Singular Value Decomposition call svdcmp(U,n,m,n,m,w,V,err) ! subroutine returns ! U = A ! V = V ! S(i,i) = w(i) ! ! Calculate the inverse ! A = U * S * V^T ! invA = V * inv(S) * U^T ! inv(S) is the pseudo inverse 1/w(i) ! ! If there is no error if (err==0) then invS = 0. do i = 1, m if (abs(w(i)) > tol) then invS(i,i) = 1. / w(i) end if end do ! invA = matmul(matmul(V,invS),transpose(U)) ! In case of an error else ! V = 0. invA = 0. ! ! end if ! end subroutine SVDgeninverse ! ! ! ! Codes for singular value decomposition ! Numerical Recipies in F77 ! https://websites.pmc.ucsc.edu/~fnimmo/eart290c_17/NumericalRecipesinF77.pdf ! ! SVDcmp subroutine ! Given a matrix (1:m,1:n) with physical dimensions mp by np, ! this routine computes its singular value decomposition, ! A = U W VT. The matrix U replaces A on output. The diagonal ! matrix of singular values W is output as a vector w(1:n) ! The matrix V (not the transpose VT) is the output as V(1:n,1:n) ! subroutine svdcmp(A,m,n,mp,np,w,V,err) use errors, only: error implicit none integer, intent(in) :: m,mp,n,np real(8), intent(inout) :: A(mp,np) real(8), intent(out) :: V(np,np), w(np) integer, intent(out) :: err integer, parameter :: nmax=1000 ! uses pythag integer i,its,j,jj,k,l,nm real(8) anorm,c,f,g,h,s,scale,x,y,z,rv1(nmax),pyt ! initialize error flag err=0 ! g=0.0 scale=0.0 anorm=0.0 do 25 i=1,n l=i+1 rv1(i)=scale*g g=0.0 s=0.0 scale=0.0 if(i.le.m)then do 11 k=i,m scale=scale+abs(A(k,i)) 11 continue if(scale.ne.0.0)then do 12 k=i,m A(k,i)=A(k,i)/scale s=s+A(k,i)*A(k,i) 12 continue f=A(i,i) g=-sign(sqrt(s),f) h=f*g-s A(i,i)=f-g do 15 j=l,n s=0.0 do 13 k=i,m s=s+A(k,i)*A(k,j) 13 continue f=s/h do 14 k=i,m A(k,j)=A(k,j)+f*A(k,i) 14 continue 15 continue do 16 k=i,m A(k,i)=scale*A(k,i) 16 continue endif endif w(i)=scale *g g=0.0 s=0.0 scale=0.0 if((i.le.m).and.(i.ne.n))then do 17 k=l,n scale=scale+abs(A(i,k)) 17 continue if(scale.ne.0.0)then do 18 k=l,n A(i,k)=A(i,k)/scale s=s+A(i,k)*A(i,k) 18 continue f=A(i,l) g=-sign(sqrt(s),f) h=f*g-s A(i,l)=f-g do 19 k=l,n rv1(k)=A(i,k)/h 19 continue do 23 j=l,m s=0.0 do 21 k=l,n s=s+A(j,k)*A(i,k) 21 continue do 22 k=l,n A(j,k)=A(j,k)+s*rv1(k) 22 continue 23 continue do 24 k=l,n A(i,k)=scale*A(i,k) 24 continue endif endif anorm=max(anorm,(abs(w(i))+abs(rv1(i)))) 25 continue do 32 i=n,1,-1 if(i.lt.n)then if(g.ne.0.0)then do 26 j=l,n V(j,i)=(A(i,j)/A(i,l))/g 26 continue do 29 j=l,n s=0.0 do 27 k=l,n s=s+A(i,k)*V(k,j) 27 continue do 28 k=l,n V(k,j)=V(k,j)+s*V(k,i) 28 continue 29 continue endif do 31 j=l,n V(i,j)=0.0 V(j,i)=0.0 31 continue endif V(i,i)=1.0 g=rv1(i) l=i 32 continue do 39 i=min(m,n),1,-1 l=i+1 g=w(i) do 33 j=l,n A(i,j)=0.0 33 continue if(g.ne.0.0)then g=1.0/g do 36 j=l,n s=0.0 do 34 k=l,m s=s+A(k,i)*A(k,j) 34 continue f=(s/A(i,i))*g do 35 k=i,m A(k,j)=A(k,j)+f*A(k,i) 35 continue 36 continue do 37 j=i,m A(j,i)=A(j,i)*g 37 continue else do 38 j= i,m A(j,i)=0.0 38 continue endif A(i,i)=A(i,i)+1.0 39 continue do 49 k=n,1,-1 do 48 its=1,30 do 41 l=k,1,-1 nm=l-1 if((abs(rv1(l))+anorm).eq.anorm) goto 2 if((abs(w(nm))+anorm).eq.anorm) goto 1 41 continue 1 c=0.0 s=1.0 do 43 i=l,k f=s*rv1(i) rv1(i)=c*rv1(i) if((abs(f)+anorm).eq.anorm) goto 2 g=w(i) call pythag(f,g,h) w(i)=h h=1.0/h c= (g*h) s=-(f*h) do 42 j=1,m y=A(j,nm) z=A(j,i) A(j,nm)=(y*c)+(z*s) A(j,i)=-(y*s)+(z*c) 42 continue 43 continue 2 z=w(k) if(l.eq.k)then if(z.lt.0.0)then w(k)=-z do 44 j=1,n V(j,k)=-V(j,k) 44 continue endif goto 3 endif if(its.eq.30) then !pause 'no convergence in svdcmp' err=1 endif x=w(l) nm=k-1 y=w(nm) g=rv1(nm) h=rv1(k) f=((y-z)*(y+z)+(g-h)*(g+h))/(2.0*h*y) call pythag(f,1.0d+0,g) f=((x-z)*(x+z)+h*((y/(f+sign(g,f)))-h))/x c=1.0 s=1.0 do 47 j=l,nm i=j+1 g=rv1(i) y=w(i) h=s*g g=c*g call pythag(f,h,z) rv1(j)=z c=f/z s=h/z f= (x*c)+(g*s) g=-(x*s)+(g*c) h=y*s y=y*c do 45 jj=1,n x=V(jj,j) z=V(jj,i) V(jj,j)= (x*c)+(z*s) V(jj,i)=-(x*s)+(z*c) 45 continue call pythag(f,h,z) w(j)=z if(z.ne.0.0)then z=1.0/z c=f*z s=h*z endif f= (c*g)+(s*y) x=-(s*g)+(c*y) do 46 jj=1,m y=A(jj,j) z=A(jj,i) A(jj,j)= (y*c)+(z*s) A(jj,i)=-(y*s)+(z*c) 46 continue 47 continue rv1(l)=0.0 rv1(k)=f w(k)=x 48 continue 3 continue 49 continue return end subroutine svdcmp ! (C) Copr. 1986-92 Numerical Recipes Software ! ! ! ! ! ! subroutine pythag(a,b,pyt) implicit none real(8), intent(in):: a,b real(8), intent(out):: pyt real(8) absa,absb absa=abs(a) absb=abs(b) if(absa.gt.absb)then pyt=absa*sqrt(1.+(absb/absa)**2) else if(absb.eq.0.)then pyt=0. else pyt=absb*sqrt(1.+(absa/absb)**2) endif endif return end subroutine pythag ! (C) Copr. 1986-92 Numerical Recipes Software ! ! ! ! end module utilities ================================================ FILE: Example - Residual deformation/Job-1.inp ================================================ *Heading ** Job name: Job-1 Model name: Model-1 ** Generated by: Abaqus/CAE 2021 *Preprint, echo=NO, model=NO, history=NO, contact=NO ** ** PARTS ** *Part, name=Part-1 *Node 1, 1000., 1., 1000. 2, 1000., -999., 1000. 3, 1000., 1., 0. 4, 1000., -999., 0. 5, 0., 1., 1000. 6, 0., -999., 1000. 7, 0., 1., 0. 8, 0., -999., 0. *Element, type=C3D8R 1, 5, 6, 8, 7, 1, 2, 4, 3 *Nset, nset=_PickedSet2, internal, generate 1, 8, 1 *Elset, elset=_PickedSet2, internal 1, ** Section: Section-1 *Solid Section, elset=_PickedSet2, controls=EC-1, material=Material-1 , *Hourglass Stiffness 1e-06, , 0., 0. *End Part ** ** ** ASSEMBLY ** *Assembly, name=Assembly ** *Instance, name=Part-1-1, part=Part-1 *End Instance ** *Nset, nset=_PickedSet5, internal, instance=Part-1-1, generate 2, 8, 2 *Elset, elset=_PickedSet5, internal, instance=Part-1-1 1, *Nset, nset=_PickedSet6, internal, instance=Part-1-1 3, 4, 7, 8 *Elset, elset=_PickedSet6, internal, instance=Part-1-1 1, *Nset, nset=_PickedSet10, internal, instance=Part-1-1, generate 1, 8, 1 *Elset, elset=_PickedSet10, internal, instance=Part-1-1 1, *End Assembly ** ** ELEMENT CONTROLS ** *Section Controls, name=EC-1, hourglass=STIFFNESS 1., 1., 1. ** ** MATERIALS ** *Material, name=Material-1 *Depvar 12, *User Material, constants=6 0.,0.,0.,1.,2.,0. ** ** BOUNDARY CONDITIONS ** ** Name: BC-1 Type: Symmetry/Antisymmetry/Encastre *Boundary _PickedSet10, XSYMM ** Name: BC-2 Type: Symmetry/Antisymmetry/Encastre *Boundary _PickedSet5, YSYMM ** Name: BC-3 Type: Symmetry/Antisymmetry/Encastre *Boundary _PickedSet6, ZSYMM ** ---------------------------------------------------------------- ** ** STEP: Step-2 ** *Step, name=Step-2, nlgeom=YES *Static 0.1, 10., 0.0001, 10. ** ** CONTROLS ** *Controls, reset *Controls, parameters=field, field=displacement , 1., , , , , , *Controls, parameters=field, field=hydrostatic fluid pressure , 1., , , , , , *Controls, parameters=field, field=rotation , 1., , , , , , *Controls, parameters=field, field=electrical potential , 1., , , , , , ** ** OUTPUT REQUESTS ** *Restart, write, frequency=0 ** ** FIELD OUTPUT: F-Output-2 ** *Output, field *Node Output CF, RF, RM, RT, TF, U, UR, UT V, VF, VR, VT *Element Output, directions=YES ALPHA, ALPHAN, BF, CENTMAG, CENTRIFMAG, CORIOMAG, CS11, CTSHR, E, EE, EEQUT, ER, ESF1, GRAV, HP, IE LE, MISES, MISESMAX, MISESONLY, NE, NFORC, NFORCSO, P, PE, PEEQ, PEEQMAX, PEEQT, PEMAG, PEQC, PRESSONLY, PS ROTAMAG, S, SALPHA, SE, SEE, SEP, SEPE, SEQUT, SF, SPE, SQEQ, SSAVG, TE, TEEQ, TEVOL, THE TRIAX, TRNOR, TRSHR, TSHR, VE, VEEQ, VS, YIELDPOT ** ** HISTORY OUTPUT: H-Output-2 ** *Output, history *Element Output IRA1, IRA2, IRA3, IRAR1, IRAR2, IRAR3, IRF1, IRF2, IRF3, IRM1, IRM2, IRM3 *End Step ================================================ FILE: Example - Residual deformation/OXFORD-UMAT.f ================================================ ! ! November, 01st, 2022 - 1st working version ! Mar., 27th, 2025 - Release v3.0 ! ! Crystal Plasticity UMAT ! University of Oxford ! Eralp Demir ! ! Sponsored by Design-by-Fundamentals (DbF) project under STEP program of UKAEA ! ! Rewrite of UMAT by Ed Tarleton and Nicolo Grilli ! Originally based on the UEL by Fionn Dunne 2007 ! Deformation twinning is not included ! ! Major changes: ! - Initialization routines for computational efficiency ! - Reverse slip formulation by C. Hardie ! - Option for implicit state update ! - Multiple materials with different phases can co-exist in a mesh ! - Modular code for flexible constitutive model development ! - GND calculations: ! o Restricted solution to the active slip systems ! o Option for element center homogenization ! o Different 2D/3D element types for GND calculation ! - 2D plane stress/strain problems ! - Lp correction ! - Jaumann rate correction ! include "userinputs.f" include "globalvariables.f" include "irradiation.f" include "errors.f" include "utilities.f" include "meshprop.f" include "usermaterials.f" include "useroutputs.f" include "crss.f" include "initializations.f" include "slip.f" include "slipreverse.f" include "creep.f" include "innerloop.f" include "hardening.f" include "backstress.f" include "cpsolver.f" include "straingradients.f" include "UEXTERNALDB.f" ! ! ! ! ! SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD, 1 RPL,DDSDDT,DRPLDE,DRPLDT, 2 STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME, 3 NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT, 4 CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC) ! use userinputs, only: cutback, pastefront use globalvariables, only: numel, numpt, numtens, + largenum, ip_init, init_once, ip_count use initializations, only: initialize_atfirstinc use cpsolver, only: solve implicit none ! ! INTEGER, INTENT(IN) :: + NDI, ! Number of direct stress components at this point + NSHR, ! Number of engineering shear stress components + NTENS, ! Size of the stress / strain components (NDI + NSHR) + NSTATV, ! Number of solution-dependent state variables + NPROPS, ! User-defined number of material constants + NOEL, ! Element number + NPT, ! Integration point number + LAYER, ! Layer number (shell elements etc.) + KSPT, ! Section point within the current layer + KINC ! Increment number (time increment) INTEGER, DIMENSION(4), INTENT(IN) :: + JSTEP ! Step number (load step) CHARACTER(LEN=80), INTENT(IN) :: + CMNAME ! Usee-specified material name, left justified REAL(8), INTENT(IN) :: + DTIME, ! Time increment + TEMP, ! Temperature at the start of the increment + DTEMP, ! Increment of temperature + CELENT ! Temperature REAL(8), DIMENSION(1), INTENT(IN) :: + PREDEF, + DPRED REAL(8), DIMENSION(2), INTENT(IN) :: + TIME ! Step time/total time at begin, of the current inc. REAL(8), DIMENSION(3), INTENT(IN) :: + COORDS REAL(8), DIMENSION(NTENS), INTENT(IN) :: + STRAN, ! Total strains at beginning of the increment + DSTRAN ! Strain increments REAL(8), DIMENSION(NPROPS), INTENT(IN) :: + PROPS REAL(8), DIMENSION(3,3), INTENT(IN) :: + DROT, ! Rotation increment matrix + DFGRD0, ! Deformation gradient at the former time increment + DFGRD1 ! Deformation gradient at the current time increment REAL(8), INTENT(INOUT) :: + PNEWDT, ! Ratio of suggested new time increment to current time increment + SSE, ! Specific elastic strain engergy + SPD, ! Specific plastic dissipation + SCD, ! Specific creep dissipation + RPL, ! Volumetric heat generation + DRPLDT ! Variation of RPL with respect to the temperature REAL(8), DIMENSION(NTENS), INTENT(INOUT) :: + STRESS ! Cauchy stress vector at the current time increment REAL(8), DIMENSION(NSTATV), INTENT(INOUT) :: + STATEV ! Solution-dependent state variables REAL(8), DIMENSION(NTENS), INTENT(OUT) :: + DDSDDT, ! Variation of the stress increments with respect to the temperature + DRPLDE ! Variation of RPL with respect to the strain increments REAL(8), DIMENSION(NTENS,NTENS), INTENT(OUT) :: + DDSDDE ! Material tangent at the current time increment ! ! local array for 3D crystal plasticity solver real(8) :: sigma(6), jacobi(6,6) ! material-id needed for array allocations integer :: matid, debug, debugwait ! counter integer :: i ! ! turn VS debugger on/off debug=0 do while (debug==1) debugwait = 1 end do ! ! to avoid warning messages set the following to zero DDSDDT = 0. DRPLDE = 0. ! ! outputs sigma = 0. jacobi = 0. ! ! ! ! read the number of elements and number of integration points per element if (ip_count(NOEL,NPT)<1) then ! ! Increment the counter ip_count(NOEL,NPT)=ip_count(NOEL,NPT)+1 ! ! store the number of elements if (NOEL>numel) numel=NOEL ! store the number of integration points if (NPT>numpt) numpt=NPT ! ! dimension of the problem (will be re-assigned in feprop) numtens = ntens ! DDSDDE=0. do i=1,NTENS DDSDDE(i,i)=largenum end do STRESS=0. PNEWDT=cutback ! ! ! end if ! ! ! if arrays allocated then ! do the crystal plasticity calculations if (init_once==1) then ! ! ! material/phase identifier matid=int(PROPS(5)) ! ! in some multi-body simulations UMAT entry for RGB has happened! ! in that case, RGB having no material-ID assigned gave array access issues ! this case deals with that situation if (matid > 0) then ! ! material property initialization if (ip_init(NOEL,NPT)==0) then ! call initialize_atfirstinc(NOEL,NPT,COORDS, + NPROPS,PROPS,TEMP,NSTATV,NTENS,STRESS) ! ! ! write(*,*) 'element: ', NOEL ! write(*,*) 'ip: ', NPT ! write(*,*) 'initialized!' end if ! ! ! ! ! call the main crystal plasticity solver call solve(NOEL,NPT,DFGRD1,DFGRD0, + TEMP,DTEMP,JSTEP(1),TIME(1),DTIME,matid, + PNEWDT,NSTATV,STATEV, + sigma,jacobi) ! ! ! ! increase the time step if desired or, ! let ABAQUS decide! if (pastefront > 1.) then ! if there is no cutback introduced if (PNEWDT /= cutback) then PNEWDT = pastefront end if end if ! ! ! ! 3D case if (NTENS==6) then ! STRESS = sigma DDSDDE = jacobi ! ! plane strain case elseif (NTENS==4) then ! STRESS=0. STRESS=0. STRESS(1) = sigma(1) STRESS(2) = sigma(2) STRESS(3) = sigma(3) STRESS(4) = sigma(4) ! DDSDDE=0. DDSDDE(1,1) = jacobi(1,1) DDSDDE(1,2) = jacobi(1,2) DDSDDE(1,3) = jacobi(1,3) DDSDDE(2,1) = jacobi(2,1) DDSDDE(2,2) = jacobi(2,2) DDSDDE(2,3) = jacobi(2,3) DDSDDE(3,1) = jacobi(3,1) DDSDDE(3,2) = jacobi(3,2) DDSDDE(3,3) = jacobi(3,3) DDSDDE(4,4) = jacobi(4,4) ! ! plane stress case elseif (NTENS==3) then ! STRESS=0. ! correction by Alvaro STRESS(1) = sigma(1)-sigma(3) STRESS(2) = sigma(2)-sigma(3) ! STRESS(3) = sigma(4) ! ! DDSDDE=0. DDSDDE(1,1) = jacobi(1,1) DDSDDE(1,2) = jacobi(1,2) DDSDDE(2,1) = jacobi(2,1) DDSDDE(2,2) = jacobi(2,2) DDSDDE(3,3) = jacobi(4,4) ! end if ! ! if rigid body (or matid not defined in PROPS) else ! DDSDDE=0. do i=1,NTENS DDSDDE(i,i)=largenum end do STRESS=0. ! ! end of crystal plasticity solution end if ! ! end of one-time initialization performed case end if ! ! ! RETURN END ================================================ FILE: Example - Residual deformation/UEXTERNALDB.f ================================================ ! SUBROUTINE UEXTERNALDB(LOP,LRESTART,TIME,DTIME,KSTEP,KINC) ! Subroutine for initialization use initializations, only : initialize_variables, + initialize_once use userinputs, only : gndmodel, backstressmodel use globalvariables, only: numel, numpt, + init_once, statev_gmatinv, statev_gmatinv_t, + statev_gammasum_t, statev_gammasum, + statev_gammadot_t, statev_gammadot, + statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma, + statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth, + statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx, + statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd, + statev_ssd_t, statev_ssd, statev_forest_t, statev_forest, + statev_substructure_t, statev_substructure, statev_evmp_t, + statev_evmp, statev_totgammasum_t, statev_totgammasum, + statev_ssdtot_t, statev_ssdtot, statev_loop_t, statev_loop, + statev_Lambda_t, statev_Lambda, statev_sigma_t2, + statev_tausolute_t, statev_tausolute, time_old, dt_t, + statev_backstress, statev_backstress_t, + statev_plasdiss, statev_plasdiss_t, + ip_count, calculategradient, ip_init, grad_init ! use straingradients, only: gndmodel1, gndmodel2, + gndmodel3, gndmodel4 use backstress, only: backstressmodel2 use meshprop, only: initialize_gradientoperators use useroutputs, only: write_statev_legend ! implicit none ! ! ! INTEGER, INTENT(IN) :: + LOP, + LRESTART, + KSTEP, + KINC REAL(8), DIMENSION(1), INTENT(IN) :: + DTIME REAL(8), DIMENSION(2), INTENT(IN) :: + TIME ! ! integer :: i ! ! ! ! at the start of the analysis (only ONCE!) ! if there are initializations/calculations that are needed once, ! and that are independepent of element properties, you may use here. if (LOP==0) then ! ! 0. Initialize variables (instead of using data statements) call initialize_variables ! ! end if ! ! Initialization of gradient operators ! Check if the element has more than one integration point ! And the gradient initialization was done before or not if ((calculategradient==1).and.(grad_init==0)) then ! ! Check if IP coordinates were collected if ((sum(ip_init)==numel*numpt).and. + (numel>0).and.(numpt>0)) then ! ! ! Calculate the gradient mapping for each element once. call initialize_gradientoperators ! grad_init=1 write(*,*) '7. Gradient operators initialized!' ! endif ! end if ! ! ! ! ! if (LOP==1) then ! ! ! in case of force BC if ((KINC==1).and.(KSTEP==1)) then ! ! ! ! check if the one-time initialization is done or not if ((init_once==0).and.(numel>0).and.(numpt>0)) then ! ! ! ! check the number of elements i = sum(ip_count(1,:)) if (i>numpt) numpt = i ! ! check the number of elements i = sum(ip_count(:,1)) if (i>numel) numel = i ! ! ! write element number write(*,*) 'total elements in the mesh: ', numel ! ! write integration point number write(*,*) 'integration points per element: ', numpt ! ! write(*,*) '--------------------------------' ! ! call the initializations call initialize_once ! ! display upon completion write(*,*) 'one-time initialization is complete!' ! ! write(*,*) '--------------------------------' ! ! ! write the legend to a text file call write_statev_legend ! ! message for initializatoin write(*,*) '6. "STATEV_legend.txt" file is ready!' ! ! set the one-time initilaziation flag (at the very end) init_once=1 ! end if ! ! ! ! ! end if ! ! end if ! ! ! ! at the end of each increment if (LOP==2) then ! ! ! in case of displacement BC if ((KINC==1).and.(KSTEP==1)) then ! ! ! ! check if the one-time initialization is done or not if ((init_once==0).and.(numel>0).and.(numpt>0)) then ! ! ! ! check the number of elements i = sum(ip_count(1,:)) if (i>numpt) numpt = i ! ! check the number of elements i = sum(ip_count(:,1)) if (i>numel) numel = i ! ! ! write element number write(*,*) 'total elements in the mesh: ', numel ! ! write integration point number write(*,*) 'integration points per element: ', numpt ! ! write(*,*) '--------------------------------' ! ! call the initializations call initialize_once ! ! display upon completion write(*,*) 'one-time initialization is complete!' ! ! write(*,*) '--------------------------------' ! ! ! write the legend to a text file call write_statev_legend ! ! message for initializatoin write(*,*) '6. "STATEV_legend.txt" file is ready!' ! ! ! ! set the one-time initilaziation flag (at the very end) init_once=1 ! ! end if ! ! ! ! ! ! end if ! ! ! write(*,*) '--------------------------------' ! write(*,*) 'At the end of increment: ', KINC ! ! ! ! ! ! GND calculations ! do this only if the initiliazation complete and ! element gradients are calculatable (calculategradient==1) if ((init_once==1).and.(grad_init==1).and. + (calculategradient==1).and.(KINC>1)) then ! ! update and calculate GNDs (nonlocal calculations) ! this is done at the end of calculations. ! GNDs that belong to the PREVIOUS time step are used. ! initially GNDs are assumed to have "0" values. ! ! calculate GNDs (if initialization complete) if (gndmodel>0) then ! ! curl followed by L2 minimization - SVD - ! constrained to active slip systems if (gndmodel==1) then ! call gndmodel1 ! ! Cermelli-Gurtin's incompatibility measure - L2 minimization - SVD ! constrained to active slip systems (same as model-1) elseif (gndmodel==2) then ! call gndmodel2 ! ! rate form followed by direct projections elseif (gndmodel==3) then ! call gndmodel3(DTIME(1)) ! ! slip gradients elseif (gndmodel==4) then ! call gndmodel4(DTIME(1)) ! ! endif ! ! write(*,*) 'GNDs are computed!' ! ! if (backstressmodel==2) then ! call backstressmodel2 ! write(*,*) 'Backstresses are computed!' ! end if ! end if ! end if ! ! update the time time_old = time(2) ! store former converged time increment dt_t = DTIME(1) ! ! ! update state variables ! assign the current results to the former values statev_gmatinv_t(:,:,:,:) = statev_gmatinv(:,:,:,:) statev_evmp_t(:,:) = statev_evmp(:,:) statev_gammasum_t(:,:,:) = statev_gammasum(:,:,:) statev_totgammasum_t(:,:) = statev_totgammasum(:,:) statev_gammadot_t(:,:,:) = statev_gammadot(:,:,:) statev_Fp_t(:,:,:,:) = statev_Fp(:,:,:,:) statev_Fth_t(:,:,:,:) = statev_Fth(:,:,:,:) statev_sigma_t2(:,:,:) = statev_sigma_t(:,:,:) statev_sigma_t(:,:,:) = statev_sigma(:,:,:) statev_jacobi_t(:,:,:,:) = statev_jacobi(:,:,:,:) statev_tauc_t(:,:,:) = statev_tauc(:,:,:) statev_maxx_t(:,:) = statev_maxx(:,:) statev_Eec_t(:,:,:) = statev_Eec(:,:,:) statev_gnd_t(:,:,:) = statev_gnd(:,:,:) statev_ssd_t(:,:,:) = statev_ssd(:,:,:) statev_ssdtot_t(:,:) = statev_ssdtot(:,:) statev_forest_t(:,:,:) = statev_forest(:,:,:) statev_loop_t(:,:,:) = statev_loop(:,:,:) statev_substructure_t(:,:) = statev_substructure(:,:) statev_tausolute_t(:,:) = statev_tausolute(:,:) statev_Lambda_t(:,:,:) = statev_Lambda(:,:,:) statev_backstress_t(:,:,:) = statev_backstress(:,:,:) statev_plasdiss_t(:,:) = statev_plasdiss(:,:) ! write(*,*) 'States are updated!' ! write(*,*) '--------------------------------' ! ! endif ! ! ! RETURN END ! ! ================================================ FILE: Example - Residual deformation/backstress.f ================================================ ! May 03rd, 2022 ! Eralp Demir ! module backstress implicit none contains ! ! Armstrong-Frederic backstress model ! Two input parameters are required subroutine backstressmodel1(backstressparam,nslip,X,gdot,dt,dX) use userinputs, only : maxnparam implicit none ! Inputs ! Backstress parameters real(8), intent(in) :: backstressparam(maxnparam) ! Number of slip systems integer, intent(in) :: nslip ! Current value of slip rate real(8), intent(in) :: gdot(nslip) ! Current value of backstress real(8), intent(in) :: X(nslip) ! time increment real(8), intent(in) :: dt ! ! Output ! Backtress increment real(8), intent(out) :: dX(nslip) ! ! Variables used in this subroutine ! Backstress evolution parameter real(8) :: h ! Backstress relief parameter real(8) :: hD integer :: is ! ! Backstress evolution h = backstressparam(1) ! ! Backstress annihiliation hD = backstressparam(2) ! dX = 0. do is=1,nslip ! dX(is) = (h*gdot(is) - hD*X(is)*abs(gdot(is)))*dt ! end do ! ! ! return end subroutine backstressmodel1 ! ! ! ! ! ! NON-LOCAL backstress calculation based on GND density subroutine backstressmodel2 use userinputs, only: maxnslip use globalvariables, only: numel, numpt, + materialid, numslip_all, numscrew_all, screw_all, + burgerv_all, gf_all, G12_all, v12_all, + backstressparam_all, statev_backstress, + statev_gnd, statev_gammasum use utilities, only: matvec6 implicit none integer :: matid, nslip, nscrew real(8) :: burgerv(maxnslip) integer :: screw(maxnslip) real(8) :: X(maxnslip) real(8) :: gf, G12, v12, xi real(8) :: rhoGNDe, rhoGNDs, gsum real(8) :: rhoGND(maxnslip) integer :: ie, ip, is, i, k, l ! ! ! ! ! ! do ie=1, numel ! ! Reset arrays burgerv=0.;screw=0 ! ! ! ! Assume the same material for al the Gaussian points of an element matid = materialid(ie,1) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! Screw systems screw = screw_all(matid,1:nscrew) ! ! Geometric factor gf = gf_all(matid) ! ! Shear Modulus G12 = G12_all(matid) ! ! Poisson's ratio v12 = v12_all(matid) ! ! Burgers vector burgerv(1:nslip) = burgerv_all(matid,1:nslip) ! ! Backstress parameter xi = backstressparam_all(matid,1) ! ! do ip=1,numpt ! ! ! ! ! ! ! Reset backstress X = 0. ! ! rhoGND=0. ! Edges do is = 1, nslip ! ! Sum of shear rates gsum = statev_gammasum(ie,ip,is) ! Edge dislocation density rhoGNDe = statev_gnd(ie,ip,is) ! !! ! rhoGND(is) = abs(statev_gnd(ie,ip,is)) ! ! ! Backstress due to edges X(is) = xi*G12/(1.-v12)*burgerv(is)* + sqrt(abs(rhoGNDe))*sign(1.0,gsum) ! ! ! end do ! ! ! ! Screws do i = 1, nscrew ! is = screw(i) ! ! Sum of shear rates gsum = statev_gammasum(ie,ip,is) ! Screw dislocation density rhoGNDs = statev_gnd(ie,ip,nslip+i) ! ! rhoGND(is) = rhoGND(is) + ! + abs(statev_gnd(ie,ip,nslip+i)) ! ! Backstress due to screws X(is) = X(is) + xi*G12*burgerv(is)* + sqrt(abs(rhoGNDs))*sign(1.0,gsum) ! ! ! end do ! ! !! Backstress ! do is = 1, nslip !! !! Sum of shear rates ! gsum = statev_gammasum(ie,ip,is) !! ! X(is) = xi*G12*burgerv(is)*sqrt(rhoGND(is)) ! + *sign(1.0,gsum) !! ! end do ! ! ! Assign to the global vector statev_backstress(ie,ip,1:nslip) = X(1:nslip) ! ! ! ! ! ! end do ! ! ! ! ! ! ! end do ! ! ! ! ! ! ! return ! end subroutine backstressmodel2 ! ! end module backstress ================================================ FILE: Example - Residual deformation/cpsolver.f ================================================ ! Oct. 1st, 2022 ! Eralp Demir ! This module contains the solver schemes for crystal plasticity ! module cpsolver implicit none contains ! ! This subroutine deals with ! global variables and their assignments ! before entering the main solver: ! 1. assigns the global variables to locals ! before calling the CP-solver ! 2. calls fge-predictor scheme before as ! spare solution ! 3. calls implicit or explicit CP-solvers ! 4. assigns the results to the glboal state variables subroutine solve(noel, npt, dfgrd1, dfgrd0, + temp, dtemp, jstep, tstep, dt, + matid, pnewdt, nstatv, statev, + sigma, jacobi) ! use globalvariables, only : dt_t, + statev_gmatinv, statev_gmatinv_t, statev_gmatinv_0, + statev_gammasum_t, statev_gammasum, statev_ssdtot_t, + statev_gammadot_t, statev_gammadot, statev_ssdtot, + statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma, + statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth, + statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx, + statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd, + statev_ssd_t, statev_ssd, statev_loop_t, statev_loop, + statev_forest_t, statev_forest, statev_evmp_t, statev_evmp, + statev_substructure_t, statev_substructure, statev_sigma_t2, + statev_totgammasum_t, statev_totgammasum, + statev_tausolute_t, statev_tausolute, forestproj_all, + numslip_all, numscrew_all, phaseid_all, + dirc_0_all, norc_0_all, caratio_all, cubicslip_all, + Cc_all, gf_all, G12_all, alphamat_all, burgerv_all, + sintmat1_all, sintmat2_all, hintmat1_all, hintmat2_all, + slipmodel_all, slipparam_all, creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, irradiationmodel_all, + irradiationparam_all, backstressparam_all, slip2screw_all, + statev_backstress_t, statev_backstress, statev_plasdiss_t, + statev_plasdiss, statev_tauceff, statev_Fr, + I3, I6, smallnum ! use userinputs, only: constanttemperature, temperature, + predictor, maxnslip, maxnparam, maxxcr, cutback, + phi, maxnloop, stateupdate, readresidualstrainfile, tres ! ! use usermaterials, only: materialparam ! use crss, only: slipresistance, totalandforest ! use useroutputs, only: assignoutputs, nstatv_outputs ! use errors, only: error ! use utilities, only: inv3x3, nolapinverse, matvec6, vecmat6, + rotord4sig, gmatvec6 ! implicit none ! ! element no integer, intent(in) :: noel ! ! ip no integer, intent(in) :: npt ! ! ! current deformation gradient real(8), intent(in) :: dfgrd1(3,3) ! ! former deformation gradient real(8), intent(in) :: dfgrd0(3,3) ! ! ABAQUS temperature real(8), intent(in) :: temp ! ! ABAQUS temperature increment real(8), intent(in) :: dtemp ! ! step number integer, intent(in) :: jstep ! ! step time real(8), intent(in) :: tstep ! ! time step real(8), intent(in) :: dt ! ! material id integer, intent(in) :: matid ! ! time factor real(8), intent(inout) :: pnewdt ! ! number of state variables - for postprocessing integer, intent(in) :: nstatv ! ! state variables - postprocessing real(8), intent(inout) :: statev(nstatv) ! ! Cauchy stress real(8), intent(out) :: sigma(6) ! ! Material tangent real(8), intent(out) :: jacobi(6,6) ! ! Local variables used within this subroutine ! ! ! phase-id integer :: phaid ! ! number of slip systems integer :: nslip ! ! ! Convergence flag (initially set to zero!) ! ! Flag for crystal plasticity explicit/implicit solver integer :: cpconv ! ! Flag for Euler solver convergence integer :: cpconv0 ! ! ! Local state variables with known dimensions ! crystal to sample transformation initally real(8) :: gmatinv_0(3,3) ! crystal to sample transformation at the former time step real(8) :: gmatinv_t(3,3) ! crystal to sample transformation at the former time step real(8) :: gmatinv(3,3) ! stress at the former time step real(8) :: sigma_t(6), sigma_t33(3,3) ! rss/crsss ratio at the former time step real(8) :: maxx_t ! rss/crsss ratio at the current time step real(8) :: maxx ! elastic strains in the crystal reference at the former time step real(8) :: Eec_t(6) ! elastic strains in the crystal reference at the current time step real(8) :: Eec(6) ! plastic deformation gradient at the former time step real(8) :: Fp_t(3,3) ! plastic deformation gradient at the current time step real(8) :: Fp(3,3) ! thermal deformation gradient at the former time step real(8) :: Fth_t(3,3) ! thermal deformation gradient at the current time step real(8) :: Fth(3,3) ! determinant of the thermal deformation gradient real(8) :: invFth(3,3), invFth_t(3,3), detFth, detFth_t ! residual deformation gradient real(8) :: Fr(3,3), Fr_t(3,3), Fr0(3,3) real(8) :: invFr(3,3), invFr_t(3,3), detFr, detFr_t ! mechanical deformation gradient at the former time step real(8) :: F_t(3,3) ! mechanical deformation gradient at the current time step real(8) :: F(3,3) ! ! Variables for velocity gradient calculation ! Fdot real(8) :: Fdot(3,3) ! velocity gradient at the current time step real(8) :: L(3,3) ! inverse of the deformation gradient real(8) :: Finv(3,3) ! determinant of the deformation gradient real(8) :: detF ! ! Local state variable arrays ! sum of slip per slip system real(8) :: gammasum_t(numslip_all(matid)) real(8) :: gammasum(numslip_all(matid)) ! slip rates real(8) :: gammadot_t(numslip_all(matid)) real(8) :: gammadot(numslip_all(matid)) ! slip resistance real(8) :: tauc_t(numslip_all(matid)) real(8) :: tauc(numslip_all(matid)) ! effective overall slip resistance ! (tauc0 + GND + SSD + solute + substructure + forest + etc.) real(8) :: tauceff_t(numslip_all(matid)) real(8) :: tauceff(numslip_all(matid)) ! Note the size of GND is different ! gnd density (nslip + nscrew) real(8) :: gnd_t(numslip_all(matid)+numscrew_all(matid)) real(8) :: gnd(numslip_all(matid)+numscrew_all(matid)) ! ! ssd density (nslip) real(8) :: ssd_t(numslip_all(matid)) real(8) :: ssd(numslip_all(matid)) ! loop density (maxnloop) real(8) :: loop_t(maxnloop) real(8) :: loop(maxnloop) ! total forest dislocation density - derived from other terms real(8) :: rhofor_t(numslip_all(matid)) real(8) :: rhofor(numslip_all(matid)) ! total density real(8) :: rhotot_t(numslip_all(matid)) real(8) :: rhotot(numslip_all(matid)) ! forest dislocation density as a state variable real(8) :: forest_t(numslip_all(matid)) real(8) :: forest(numslip_all(matid)) ! ! ! Scalar state variables ! equivalent Von-Mises plastic strain real(8) :: evmp_t real(8) :: evmp ! ! cumulative slip real(8) :: totgammasum_t real(8) :: totgammasum ! ! plastic dissipation power real(8) :: plasdiss_t real(8) :: plasdiss ! ! solute strength real(8) :: tausolute_t real(8) :: tausolute ! substructure density real(8) :: substructure_t real(8) :: substructure ! total density real(8) :: ssdtot_t real(8) :: ssdtot ! scalar cumulartive density real(8) :: sumrhotot_t real(8) :: sumrhotot ! ! material-related local variables ! number screw systems integer :: nscrew ! slip model flag integer :: smodel ! creep model flag integer :: cmodel ! hardening model flag integer :: hmodel ! irradiation mdoel flag integer :: imodel ! cubic slip flag integer :: cubicslip ! material temperature real(8) :: mattemp ! c/a ratio for hcp materials real(8) :: caratio ! compliance at the crystal reference real(8) :: Cc(6,6) ! geometric factor real(8) :: gf ! shear modulus real(8) :: G12 ! Poisson's ratio real(8) :: v12 ! thermal expansion coefficient real(8) :: alphamat(3,3) ! slip parameters real(8) :: sparam(maxnparam) ! creep parameters real(8) :: cparam(maxnparam) ! hardening parameters real(8) :: hparam(maxnparam) ! irradiation parameters real(8) :: iparam(maxnparam) ! Backstress parameters real(8) :: bparam(maxnparam) ! Burgers vector real(8) :: burgerv(numslip_all(matid)) ! Interaction matrices ! Strength interaction between dislocations real(8) :: sintmat1(numslip_all(matid),numslip_all(matid)) ! Strength interaction dislocation loops related with irradiation real(8) :: sintmat2(numslip_all(matid),numslip_all(matid)) ! Latent hardening real(8) :: hintmat1(numslip_all(matid),numslip_all(matid)) ! Hardening interaction matrix between dislocations real(8) :: hintmat2(numslip_all(matid),numslip_all(matid)) ! ! ! slip direction and slip plane normal at the crystal reference (undeformed) real(8) :: dirc_0(numslip_all(matid),3) real(8) :: norc_0(numslip_all(matid),3) ! undeformed slip direction and slip plane normal at the sample reference real(8) :: dirs_0(numslip_all(matid),3) real(8) :: nors_0(numslip_all(matid),3) ! slip direction and slip plane normal at the sample reference real(8) :: dirs_t(numslip_all(matid),3) real(8) :: nors_t(numslip_all(matid),3) ! ! Forest projection operators for GND and SSD real(8) :: forestproj(numslip_all(matid), + numslip_all(matid)+numscrew_all(matid)) ! ! Slip to screw system map real(8) :: slip2screw(numscrew_all(matid),numslip_all(matid)) ! ! Schmid Dyadic real(8) :: Schmid_0(numslip_all(matid),3,3) real(8) :: Schmid(numslip_all(matid),3,3) real(8) :: Schmidvec(numslip_all(matid),6) real(8) :: SchmidxSchmid(numslip_all(matid),6,6) real(8) :: sdir(3), ndir(3), SNij(3,3), NSij(3,3) real(8) :: nsi(6), sni(6) ! ! ! ! strain calculations ! total strain increment real(8) :: dstran(6), dstran33(3,3) ! thermal strain increment real(8) :: dstranth33(3,3), dstranth(6) ! total spin increment real(8) :: domega(3) ! total spin (rate) 3x3 matrix real(8) :: W(3,3), dW33(3,3) ! ! Elasticity transformation ! temporary array for elastic stiffness calculation real(8) :: rot4(6,6) ! elasticity matrix at the deformed reference real(8) :: Cs(6,6) ! ! Trial stress calculation ! trial stress real(8) :: sigmatr(6) ! ! Backstress at current time real(8) :: X(numslip_all(matid)) ! Backstress at former time real(8) :: X_t(numslip_all(matid)) ! Backstress backup solution real(8) :: X0(numslip_all(matid)) ! ! ! ! Resolved shear stress calculation ! GUESS values real(8) :: sigma0(6), jacobi0(6,6) ! 3x3 matrix form of the stress real(8) :: sigma33(3,3) ! value of resolved shear stress real(8) :: tau0(numslip_all(matid)) ! ! value of resolved shear stress real(8) :: tau_t(numslip_all(matid)) ! ! value of trial resolved shear stress real(8) :: tautr(numslip_all(matid)) ! absolute value of resolved shear stress real(8) :: abstautr(numslip_all(matid)) ! ! dummy variables real(8) :: dummy3(3), dummy33(3,3) real(8) :: dummy33_(3,3) real(8) :: dummy6(6), dummy66(6,6) integer :: dum1, dum2, dum3 ! unused variables real(8) :: notused1(maxnslip) real(8) :: notused2(maxnslip) real(8) :: notused3(maxnslip) ! In case materials subroutine entered everytime ! Strength interaction between dislocations real(8) :: notused4(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8) :: notused5(maxnslip,maxnslip) ! Latent hardening real(8) :: notused6(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8) :: notused7(maxnslip,maxnslip) ! Initial forest and substructure densities real(8) :: notused8, notused9 ! ! counter integer :: is, i, j ! ! ! ! Reset sparse arrays notused1=0.;notused2=0.;notused3=0. notused4=0.;notused5=0. notused6=0.;notused7=0. ! ! ! ! convergence check initially ! if sinh( ) in the slip law has probably blown up ! then try again with smaller dt if(any(dfgrd1 /= dfgrd1)) then ! Set the outputs to zero initially sigma = 0. jacobi = I6 ! cut back time pnewdt = cutback ! warning message in .dat file call error(11) ! go to the end of subroutine return end if ! ! ! ! phase-id phaid = phaseid_all(matid) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! ! ! ! undeformed slip direction dirc_0 = dirc_0_all(matid,1:nslip,1:3) ! undeformed slip plane normal norc_0 = norc_0_all(matid,1:nslip,1:3) ! ! ! Forest projection for GND forestproj = forestproj_all(matid,1:nslip,1:nslip+nscrew) ! ! ! Slip to screw system mapping slip2screw = slip2screw_all(matid,1:nscrew,1:nslip) ! ! ! Assign the global state variables ! to the local variables ! at the former time step gammasum_t = statev_gammasum_t(noel,npt,1:nslip) gammadot_t = statev_gammadot_t(noel,npt,1:nslip) tauc_t = statev_tauc_t(noel,npt,1:nslip) gnd_t = statev_gnd_t(noel,npt,1:nslip+nscrew) ssd_t = statev_ssd_t(noel,npt,1:nslip) loop_t = statev_loop_t(noel,npt,1:maxnloop) ssdtot_t = statev_ssdtot_t(noel,npt) forest_t = statev_forest_t(noel,npt,1:nslip) substructure_t = statev_substructure_t(noel,npt) evmp_t = statev_evmp_t(noel,npt) plasdiss_t = statev_plasdiss_t(noel,npt) totgammasum_t = statev_totgammasum_t(noel,npt) tausolute_t = statev_tausolute_t(noel,npt) sigma_t = statev_sigma_t(noel,npt,:) Fp_t = statev_Fp_t(noel,npt,:,:) Fth_t = statev_Fth_t(noel,npt,:,:) Eec_t = statev_Eec_t(noel,npt,:) ! Crystal orientations at former time step gmatinv_t = statev_gmatinv_t(noel,npt,:,:) ! Initial orientation gmatinv_0 = statev_gmatinv_0(noel,npt,:,:) ! Backstress at former time step X_t = statev_backstress_t(noel,npt,1:nslip) ! ! residual deformation gradient Fr0=statev_Fr(noel,npt,:,:) ! ! Material parameters are constant caratio = caratio_all(matid) cubicslip = cubicslip_all(matid) Cc = Cc_all(matid,:,:) gf = gf_all(matid) G12 = G12_all(matid) alphamat = alphamat_all(matid,:,:) burgerv = burgerv_all(matid,1:nslip) ! ! sintmat1 = sintmat1_all(matid,1:nslip,1:nslip) sintmat2 = sintmat2_all(matid,1:nslip,1:nslip) hintmat1 = hintmat1_all(matid,1:nslip,1:nslip) hintmat2 = hintmat2_all(matid,1:nslip,1:nslip) ! ! ! smodel = slipmodel_all(matid) sparam = slipparam_all(matid,1:maxnparam) cmodel = creepmodel_all(matid) cparam = creepparam_all(matid,1:maxnparam) hmodel = hardeningmodel_all(matid) hparam = hardeningparam_all(matid,1:maxnparam) imodel = irradiationmodel_all(matid) iparam = irradiationparam_all(matid,1:maxnparam) bparam = backstressparam_all(matid,1:maxnparam) ! ! ! ! ! Temperature is constant and defined by the user if (constanttemperature == 1) then ! ! ! Assign temperature mattemp = temperature ! ! ! ! Temperature is defined by ABAQUS ! Material properties are entered every time ! Because properties can be temperature dependent else if (constanttemperature == 0) then ! ! Use ABAQUS temperature (must be in K) mattemp = temp ! ! ! get material constants call materialparam(matid,mattemp, + dum1,dum2,dum3,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,notused1, ! state variables are NOT updated here + notused2,notused3,notused8,notused9, + smodel,sparam,cmodel,cparam, + hmodel,hparam,imodel,iparam, + notused4,notused5,notused6, + notused7,bparam) ! Interaction matrices are not updated here ! ! ! ! ! end if ! ! ! ! Slip directions in the initial sample reference call rotateslipsystems(phaid,nslip,caratio, + gmatinv_0,dirc_0,norc_0,dirs_0,nors_0) ! do is=1,nslip ! ! Slip direction sdir = dirs_0(is,:) ! Slip plane normal ndir = nors_0(is,:) ! do i=1,3 do j=1,3 SNij(i,j) = sdir(i)*ndir(j) Schmid_0(is,i,j) = SNij(i,j) enddo enddo ! end do ! ! ! ! Slip directions in the sample reference call rotateslipsystems(phaid,nslip,caratio, + gmatinv_t,dirc_0,norc_0,dirs_t,nors_t) ! ! ! Calculate Schmid tensors and Schmid dyadic Schmid=0.; SchmidxSchmid=0. do is=1,nslip ! ! Slip direction sdir = dirs_t(is,:) ! Slip plane normal ndir = nors_t(is,:) ! do i=1,3 do j=1,3 SNij(i,j) = sdir(i)*ndir(j) NSij(j,i) = ndir(j)*sdir(i) Schmid(is,i,j) = SNij(i,j) enddo enddo ! ! ! ! call gmatvec6(SNij,sni) ! call gmatvec6(NSij,nsi) ! ! Vectorized Schmid tensor Schmidvec(is,1:6) = sni ! do i=1,6 do j=1,6 SchmidxSchmid(is,i,j)=sni(i)*nsi(j) enddo enddo ! enddo ! ! ! ! Calculate total and forest density call totalandforest(phaid, nscrew, nslip, + gnd_t, ssd_t, + ssdtot_t, forest_t, + forestproj, slip2screw, rhotot_t, + sumrhotot_t, rhofor_t) ! ! ! ! Calculate crss call slipresistance(phaid, nslip, gf, G12, + burgerv, sintmat1, sintmat2, tauc_t, + rhotot_t, sumrhotot_t, rhofor_t, substructure_t, + tausolute_t, loop_t, hmodel, hparam, imodel, iparam, + mattemp, tauceff_t) ! ! ! ! ! Elastic stiffness in the sample reference ! ! Rotation matrix - special for symmetric 4th rank transformation call rotord4sig(gmatinv_t,rot4) ! ! ! ! Elasticity tensor in sample reference dummy66=matmul(rot4,Cc) Cs = matmul(dummy66,transpose(rot4)) ! !! To avoid numerical problems ! Cs = (Cs + transpose(Cs))/2. ! ! F = dfgrd1 ! F_t = dfgrd0 ! ! ! ! CALCULATION OF THERMAL STRAINS ! ! No thermal strains if (constanttemperature == 1) then ! ! dstranth33 = 0. dstranth = 0. ! ! Fth = Fth_t ! call inv3x3(Fth,invFth,detFth) invFth_t=invFth detFth_t=detFth ! ! Thermal strains if temperature change is defined by ABAQUS else ! ! Thermal eigenstrain in the crystal reference system dstranth33 = dtemp*alphamat ! ! Transform the thermal strains to sample reference dstranth33 = matmul(matmul(gmatinv_t,dstranth33), + transpose(gmatinv_t)) ! ! vectorize call matvec6(dstranth33,dstranth) ! ! Shear corrections dstranth(4:6) = 2.0*dstranth(4:6) ! ! ! Thermal deformation gradient Fth = Fth_t + dstranth33 ! call inv3x3(Fth,invFth,detFth) call inv3x3(Fth_t,invFth_t,detFth_t) ! end if ! ! CALCULATION OF RESIDUAL STRAINS ! ! Residual strains if (readresidualstrainfile==1) then ! ! residual strains will be applied at the very first step ! linearly ramp the residual deformation if (jstep==1) then Fr = (Fr0-I3)*(tstep+dt)/tres + I3 Fr_t = (Fr0-I3)*tstep/tres + I3 else Fr = Fr0 end if ! call inv3x3(Fr,invFr,detFr) call inv3x3(Fr_t,invFr_t,detFr_t) ! ! No residual strains else ! Fr=0.; Fr_t=0. invFr=0.; invFr_t=0. do i=1,3 Fr(i,i)=1. Fr_t(i,i)=1. invFr(i,i)=1. invFr_t(i,i)=1. end do ! detFr=1.; detFr_t=1. ! end if ! ! Subtract the initial distortions from the total deformation gradient F = matmul(invFth,matmul(invFr,F)) F_t = matmul(invFth_t,matmul(invFr_t,F_t)) ! ! Compute the stress at the mechanical framework dummy33 = matmul(invFth_t,invFr_t) ! ! Convert the stress to 3x3 matrix call vecmat6(sigma_t,sigma_t33) ! Pull-back sigma_t33=matmul(dummy33,matmul(sigma_t33,transpose(dummy33))) + *detFr_t*detFth_t ! ! Convert back to a vector call matvec6(sigma_t33,sigma_t) ! ! MECHANICAL PART OF THE DEFORMATION GRADIENT ! Calculate velocity gradient ! Rate of deformation gradient Fdot = (F - F_t) / dt ! ! Inverse of the deformation gradient call inv3x3(F,Finv,detF) ! ! Velocity gradient L = matmul(Fdot,Finv) ! ! ! ! ! ! ! CALCULATION OF TOTAL & MECHANICAL STRAINS ! ! Total stain increment from velocity gradient dstran33=(L+transpose(L))*0.5*dt ! ! ! call matvec6(dstran33,dstran) ! ! Shear corrections dstran(4:6) = 2.0*dstran(4:6) ! ! ! Total spin W=(L-transpose(L))*0.5 ! ! ! ! Total spin increment - components ! This is corrected as follows: Eralp - Alvaro 19.02.2023 ! The solution in Huang et al gives the negative -1/2*W ! We obtained the spin directly from velocity gradient ! 1. It is positive ! 2. It has to be divided by 2 domega(1) = W(1,2) - W(2,1) domega(2) = W(3,1) - W(1,3) domega(3) = W(2,3) - W(3,2) domega = domega * dt / 2. ! ! ! ! ! ! ! CALCULATION OF TRIAL STRESS ! ! Trial stress sigmatr = sigma_t + matmul(Cs,dstran) ! ! ! ! ! ! ! ! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tau_t(is) = dot_product(Schmidvec(is,:),sigma_t) end do ! ! ! ! CALCULATE TRIAL-RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tautr(is) = dot_product(Schmidvec(is,:),sigmatr) abstautr(is) = abs(tautr(is)) end do ! ! ! maximum ratio of rss to crss maxx = maxval(abstautr/tauceff_t) ! ! ! ! ! DECISION FOR USING CRYSTAL PLASTICITY ! BASED ON THRESHOLD VALUE ! ! Elastic solution if (maxx <= maxxcr) then ! ! ! ! ! stress sigma = sigmatr ! ! material tangent jacobi = Cs ! ! ! Assign the global state variables ! For NO SLIP condition totgammasum=totgammasum_t gammasum=gammasum_t gammadot=0. tauceff=tauceff_t tauc=tauc_t gnd=gnd_t ssd=ssd_t loop = loop_t ssdtot=ssdtot_t forest=forest_t substructure=substructure_t evmp=evmp_t plasdiss=plasdiss_t tausolute=tausolute_t Fp=Fp_t Fth=Fth_t X=X_t cpconv=1 cpconv0=0 ! ! Update orietnations ! All the orientation changes are elastic - rotations dW33=0. dW33(1,2) = domega(1) dW33(1,3) = -domega(2) dW33(2,1) = -domega(1) dW33(2,3) = domega(3) dW33(3,1) = domega(2) dW33(3,2) = -domega(3) ! gmatinv = gmatinv_t + matmul(dW33,gmatinv_t) ! ! Elastic strains in the crystal lattice ! Add the former elastic strains ! ! Undo shear corrections dummy6 = dstran dummy6(4:6) = 0.5*dummy6(4:6) ! ! Convert the strain into matrix call vecmat6(dummy6,dummy33) ! ! Elastic strains in the crystal reference dummy33_ = matmul(transpose(gmatinv),dummy33) dummy33 = matmul(dummy33_,gmatinv) ! ! ! Vectorize call matvec6(dummy33,dummy6) ! ! Shear corrections dummy6(4:6) = 2.0*dummy6(4:6) ! Eec=Eec_t+dummy6 ! ! ! ! ! Solve using crystal plasticity else ! ! ! ! Guess if Forward Gradient Predictor scheme is not active if (predictor == 0) then ! sigma0 = (1.-phi)*sigma_t + phi*sigmatr ! ! ! ! This part is added by Chris Hardie (11/05/2023) ! Former stress scheme elseif (predictor == 1) then ! ! ! if (dt_t > 0.0) then ! do i = 1, 6 sigma0(i) = + statev_sigma_t(noel,npt,i) + + (statev_sigma_t(noel,npt,i) - + statev_sigma_t2(noel,npt,i))*dt/dt_t end do ! else sigma0 = sigma_t end if ! ! ! ! ! ! ! ! ! ! end if ! ! ! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tau0(is) = dot_product(Schmidvec(is,:),sigma0) end do ! ! ! call CP_Dunne(matid, phaid, + nslip, nscrew, mattemp, Cs, gf, G12, + burgerv, cubicslip, caratio, + Fp_t, gmatinv_t, Eec_t, + gammadot_t, gammasum_t, + totgammasum_t, evmp_t, plasdiss_t, + sigma0, tau0, sigmatr, + forestproj, slip2screw, + Schmid_0, Schmid, + Schmidvec, SchmidxSchmid, + smodel, sparam, cmodel, cparam, + imodel, iparam, hmodel, hparam, + bparam, sintmat1, sintmat2, + hintmat1, hintmat2, + tauceff_t, tauc_t, rhotot_t, + sumrhotot_t, ssdtot_t, + rhofor_t, forest_t, substructure_t, + gnd_t, ssd_t, loop_t, X_t, + dt, L, W, F, dstran, + Fp, gmatinv, Eec, + gammadot, gammasum, + totgammasum, evmp, plasdiss, + tauceff, tauc, tausolute, + ssdtot, ssd, loop, X, + forest, substructure, + sigma, jacobi, cpconv) ! ! ! ! ! ! ! ! ! ! ! STILL NOT CONVERGED THE CUTBACK TIME ! Convergence check ! Use cpsolver did not converge ! Diverged! - use time cut backs if (cpconv == 0) then ! ! Set the outputs to zero initially sigma = 0.!statev_sigma_t(noel,npt,:) jacobi = 0.!statev_jacobi_t(noel,npt,:,:) ! Set time cut back and send a message pnewdt = cutback ! endif ! ! ! ! endif ! ! Convert the stress to 3x3 matrix call vecmat6(sigma,sigma33) ! ! Compute the stress at the mechanical framework dummy33 = matmul(Fr,Fth) ! ! Push-forward stress sigma33=matmul(dummy33,matmul(sigma33,transpose(dummy33))) + /detFr/detFth ! ! Convert back to a vector call matvec6(sigma33,sigma) ! ! Correct the Jacobi for volumetric changes ! Ignore rotations jacobi=jacobi/detFr/detFth ! ! ! ! Assign the global state variables statev_gammasum(noel,npt,1:nslip)=gammasum statev_gammadot(noel,npt,1:nslip)=gammadot statev_tauc(noel,npt,1:nslip)=tauc statev_ssd(noel,npt,1:nslip)=ssd statev_loop(noel,npt,1:maxnloop)=loop statev_ssdtot(noel,npt)=ssdtot statev_forest(noel,npt,1:nslip)=forest statev_substructure(noel,npt)=substructure statev_evmp(noel,npt)=evmp statev_maxx(noel,npt)=maxx statev_totgammasum(noel,npt)=totgammasum statev_tausolute(noel,npt)=tausolute statev_sigma(noel,npt,1:6)=sigma statev_jacobi(noel,npt,1:6,1:6)=jacobi statev_Fp(noel,npt,1:3,1:3)=Fp statev_Fth(noel,npt,1:3,1:3)=Fth statev_Eec(noel,npt,1:6)=Eec ! Crystal orientations at former time step statev_gmatinv(noel,npt,1:3,1:3)=gmatinv ! Backstress statev_backstress(noel,npt,1:nslip)=X ! Plastic dissipation power density statev_plasdiss(noel,npt)=plasdiss ! Overall CRSS statev_tauceff(noel,npt,1:nslip)=tauceff ! ! Write the outputs for post-processing ! If outputs are defined by the user if (nstatv_outputs>0) then ! call assignoutputs(noel,npt,nstatv,statev) ! end if ! ! ! ! ! ! return end subroutine solve ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! Semi-implicit / Explicit state update rule ! Solution using state variables at the former time step subroutine CP_Dunne(matid, phaid, + nslip, nscrew, mattemp, Cs, gf, G12, + burgerv, cubicslip, caratio, + Fp_t, gmatinv_t, Eec_t, + gammadot_t, gammasum_t, + totgammasum_t, evmp_t, plasdiss_t, + sigma0, tau0, + sigmatr, forestproj, slip2screw, + Schmid_0, Schmid, + Schmidvec, SchmidxSchmid, + slipmodel, slipparam, + creepmodel, creepparam, + irradiationmodel, irradiationparam, + hardeningmodel, hardeningparam, + backstressparam, + sintmat1, sintmat2, + hintmat1, hintmat2, + tauceff_t, tauc_t, rhotot_t, + sumrhotot_t, ssdtot_t, rhofor_t, + forest_t, substructure_t, + gnd_t, ssd_t, loop_t, X_t, + dt, L, W, F, dstran, + Fp, gmatinv, Eec, + gammadot, gammasum, + totgammasum, evmp, plasdiss, + tauceff, tauc, tausolute, + ssdtot, ssd, loop, X, + forest, substructure, + sigma, jacobi, cpconv) ! use globalvariables, only : I3, I6, smallnum ! use userinputs, only : maxniter, maxnparam, maxnloop, + tauctolerance , SVDinversion, + backstressmodel, stateupdate, inversebackup ! use innerloop, only : Dunne_innerloop, Hardie_innerloop ! use utilities, only : vecmat6, matvec6, + nolapinverse, deter3x3, inv3x3, trace3x3, + vecmat9, matvec9, nolapinverse, SVDinverse ! use slip, only : sinhslip, doubleexpslip, + powerslip ! use creep, only : expcreep ! use hardening, only: hardeningrules ! use backstress, only: backstressmodel1 ! use crss, only: slipresistance, totalandforest ! use errors, only : error ! implicit none ! ! ! INPUTS ! ! material-id integer, intent(in) :: matid ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! number of screw sytems integer, intent(in) :: nscrew ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! geometric factor real(8), intent(in) :: gf ! elastic shear modulus real(8), intent(in) :: G12 ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! plastic part of the deformation gradient at former time step real(8), intent(in) :: Fp_t(3,3) ! Crystal to sample transformation martrix at former time step real(8), intent(in) :: gmatinv_t(3,3) ! Lattice strains real(8), intent(in) :: Eec_t(6) ! slip rates at the former time step real(8), intent(in) :: gammadot_t(nslip) ! total slip per slip system accumulated over the time ! at the former time step real(8), intent(in) :: gammasum_t(nslip) ! overall total slip at the former time step real(8), intent(in) :: totgammasum_t ! Von-Mises equivalent total plastic strain at the former time step real(8), intent(in) :: evmp_t ! Plastic dissipation power density at the former time step real(8), intent(in) :: plasdiss_t ! Cauchy stress guess real(8), intent(in) :: sigma0(6) ! rss guess real(8), intent(in) :: tau0(nslip) ! trial stress real(8), intent(in) :: sigmatr(6) ! Forest projections real(8), intent(in) :: forestproj(nslip,nslip+nscrew) ! Forest projections real(8), intent(in) :: slip2screw(nscrew,nslip) ! Initial Schmid tensor real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! creep model no. integer, intent(in) :: creepmodel ! creep model parameters real(8), intent(in) :: creepparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! hardening model no. integer, intent(in) :: hardeningmodel ! hardening model parameters real(8), intent(in) :: hardeningparam(maxnparam) ! backstress model parameters real(8), intent(in) :: backstressparam(maxnparam) ! ! Interaction matrices ! Strength interaction between dislocations real(8), intent(in) :: sintmat1(nslip,nslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(in) :: sintmat2(nslip,nslip) ! Latent hardening real(8), intent(in) :: hintmat1(nslip,nslip) ! Hardening interaction matrix between dislocations real(8), intent(in) :: hintmat2(nslip,nslip) ! ! ! overall crss real(8), intent(in) :: tauceff_t(nslip) ! crss at former time step real(8), intent(in) :: tauc_t(nslip) ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: rhotot_t(nslip) ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: sumrhotot_t ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: ssdtot_t ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor_t(nslip) ! forest dislocation density per slip system at the former time step (hardening model = 4) real(8), intent(in) :: forest_t(nslip) ! substructure dislocation density at the former time step real(8), intent(in) :: substructure_t ! statistically-stored dislocation density per slip system at the former time step real(8), intent(in) :: gnd_t(nslip+nscrew) ! statistically-stored dislocation density per slip system at the former time step real(8), intent(in) :: ssd_t(nslip) ! loop defect density per slip system at the former time step real(8), intent(in) :: loop_t(maxnloop) ! backstress at former time step real(8), intent(in) :: X_t(nslip) ! time increment real(8), intent(in) :: dt ! total velocity gradient at the current time step real(8), intent(in) :: L(3,3) ! total spin real(8), intent(in) :: W(3,3) ! total deformation gradient real(8), intent(in) :: F(3,3) ! mechanical strain increment real(8), intent(in) :: dstran(6) ! ! ! ! OUTPUTS ! ! plastic part of the deformation gradient real(8), intent(out) :: Fp(3,3) ! Crystal to sample transformation martrix at current time step real(8), intent(out) :: gmatinv(3,3) ! Green-Lagrange strains in the crystal reference real(8), intent(out) :: Eec(6) ! slip rates at the current time step real(8), intent(out) :: gammadot(nslip) ! total slip per slip system accumulated over the time ! at the current time step real(8), intent(out) :: gammasum(nslip) ! overall total slip at the current time step real(8), intent(out) :: totgammasum ! Von-Mises equivalent total plastic strain at the current time step real(8), intent(out) :: evmp ! Plastic dissipation power density at the current time step real(8), intent(out) :: plasdiss ! Current values of state variables ! overall crss real(8), intent(out) :: tauceff(nslip) ! crss at the current time step real(8), intent(out) :: tauc(nslip) ! solute strength due to irradiation hardening real(8), intent(out) :: tausolute ! total dislocation density over all slip systems at the current time step real(8), intent(out) :: ssdtot ! forest dislocation density per slip system at the current time step real(8), intent(out) :: forest(nslip) ! substructure dislocation density at the current time step real(8), intent(out) :: substructure ! statistically-stored dislocation density per slip system at the current time step real(8), intent(out) :: ssd(nslip) ! loop defect density per slip system at the current time step real(8), intent(out) :: loop(maxnloop) ! crss at the current time step real(8), intent(out) :: X(nslip) ! Cauchy stress real(8), intent(out) :: sigma(6) ! material tangent real(8), intent(out) :: jacobi(6,6) ! convergence flag integer, intent(out) :: cpconv ! ! ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3), Dp_s(3,3) ! plastic velocity gradient for creep real(8) Lp_c(3,3), Dp_c(3,3) ! plastic velocity gradient real(8) Lp(3,3), Dp(3,3), dstranp(6) ! plastic tangent stiffness for slip real(8) Pmat_s(6,6) ! plastic tangent stiffness for creep real(8) Pmat_c(6,6) ! tangent matrix for NR iteration real(8) Pmat(6,6) ! slip rates for slip real(8) gammadot_s(nslip) ! slip rates for creep real(8) gammadot_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtau_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtau_c(nslip) ! derivative of slip rates wrto crss for slip real(8) dgammadot_dtauc_s(nslip) ! derivative of slip rates wrto crss for creep real(8) dgammadot_dtauc_c(nslip) ! ! ! rss at the former time step real(8) :: tau(nslip) ! absolute RSS and sign (used in Hardie scheme) real(8) :: abstau(nslip), signtau(nslip) ! ! trial absolute RSS and sign (used in Hardie scheme) real(8) :: tautr(nslip), abstautr(nslip), signtautr(nslip) ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8) :: dpsi_dsigma(6,6), invdpsi_dsigma(6,6) ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psi(6) ! ! Von-Mises equivalent plastic strain rate and increment real(8) :: pdot ! ! stress increment real(8) :: dsigma(6) ! ! stress 3x3 matrix real(8) :: sigma33(3,3) ! ! plastic part of the deformation gradient real(8) :: detFp, invFp(3,3) ! ! elastic part of the deformation gradient real(8) :: detFe, Fe(3,3), invFe(3,3) ! ! inverse of thermal deformation gradient real(8) :: detFth, invFth(3,3) ! ! inverse of residual deformation gradient real(8) :: detFr, invFr(3,3) ! ! corrected plastic velocity gradient real(8) :: Lp_(3,3) ! ! elastic part of the velocity gradient real(8) :: Le(3,3) ! ! elastic spin real(8) :: We(3,3) ! ! increment in rotation matrix real(8) :: dR(3,3) ! ! Von-Mises stress real(8) :: sigmaii, vms, sigmadev(3,3) ! ! Co-rotational stress update real(8) :: dotsigma33(3,3) ! ! Cauchy stress at former time step in 3x3 real(8) :: sigma33_t(3,3) ! ! Total mechanical strain increment real(8) :: dstran33(3,3) ! ! plastic strain increment real(8) :: dstranp33(3,3) ! ! elastic strain increment real(8) :: dstrane33(3,3) ! ! crss increment real(8) :: dtauc(nslip) ! ! ! ssd density increment real(8) :: dssd(nslip) ! ! ssd density increment real(8) :: dloop(maxnloop) ! ! backstress increment real(8) :: dX(nslip) ! ! total ssd density increment real(8) :: dssdtot ! ! forest dislocation density increment real(8) :: dforest(nslip) ! ! substructure dislocation density increment real(8) :: dsubstructure ! ! Residues real(8) :: dtauceff(nslip), tauceff_old(nslip) ! ! ! overall forest density real(8) :: rhofor(nslip) ! ! overall total density real(8) :: rhotot(nslip) ! ! overall total scalar density real(8) :: sumrhotot ! ! Overall residue real(8) :: dtauceffnorm ! ! error flag for svd inversion integer :: err ! ! other variables real(8) :: dummy3(3), dummy33(3,3), + dummy33_(3,3), dummy6(6), dummy0 integer :: is, il, iter, oiter integer :: iterinverse ! ! ! Set convergence flag to "converged" cpconv = 1 ! ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigma0 tau = tau0 ! ! ! State assignments gammasum=gammasum_t tauc = tauc_t tauceff = tauceff_t ssdtot = ssdtot_t ssd = ssd_t loop = loop_t rhofor = rhofor_t X = X_t forest = forest_t substructure = substructure_t ! ! Reset variables for the inner iteration oiter = 0 dtauceffnorm = 1. ! ! ! Outer loop for state update do while ((dtauceffnorm >= tauctolerance) +.and.(oiter < maxniter).and.(cpconv==1)) ! ! ! ! call Dunne_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! ! ! convergence check if (iter == maxniter) then ! did not converge cpconv = 0 end if ! ! ! Check for NaN in the slip rate vector if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 endif ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 endif ! ! Check for NaN in the stress vector if(any(sigma/=sigma)) then ! did not converge cpconv = 0 endif ! ! ! Inverse scheme start here!!! ! Try inverse scheme if not converged if ((cpconv==0).and.(inversebackup==1)) then ! ! Reset convergence flag cpconv=1 ! ! Calculate trial-resolved shear stress on slip systems ! Absolute value of trial-RSS and its sign do is = 1, nslip tautr(is) = dot_product(Schmidvec(is,:),sigmatr) signtautr(is) = sign(1.0,tautr(is)) abstautr(is) = abs(tautr(is)) end do ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigma0 tau = tau0 ! Absolute value of RSS and its sign do is = 1, nslip signtau(is) = sign(1.0,tau0(is)) abstau(is) = abs(tau0(is)) end do ! ! Reverse slip scheme call Hardie_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + irradiationmodel, + irradiationparam, + dt,sigmatr, + abstautr,signtautr, + tauceff,rhofor,X, + sigma,iterinverse) ! ! ! ! ! Recalculate RSS on slip systems ! RSS and its sign do is = 1, nslip tau(is) = dot_product(Schmidvec(is,:),sigma) end do ! ! ! Call the Dunne solver again call Dunne_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! ! assign jacobi and stress if (cpconv == 0) then return end if ! end if ! End of inverse solution ! ! ! ! Calculate Von Mises invariant plastic strain rate pdot=sqrt(2./3.*sum(Dp*Dp)) ! ! ! Total plastic strain increment evmp = evmp_t + pdot*dt ! ! Total slip over time per slip system gammasum = 0. do is = 1, nslip ! gammasum(is) = gammasum_t(is) + + gammadot(is)*dt ! enddo ! ! ! Total slip totgammasum = totgammasum_t + + sum(abs(gammadot))*dt ! ! ! ! convergence check if (iter == maxniter) then ! did not converge cpconv = 0 return end if ! ! ! ! Check for NaN in the slip rate vector if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 return endif ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 return endif ! ! Check for NaN in the stress vector if(any(sigma/=sigma)) then ! did not converge cpconv = 0 return endif ! ! ! ! ! ! ! ! ! Update the states using hardening laws call hardeningrules(phaid,nslip, + mattemp,dt,G12,burgerv, + totgammasum,gammadot,pdot, + irradiationmodel,irradiationparam, + hardeningmodel,hardeningparam, + hintmat1,hintmat2, + tauc_t,ssd_t,loop_t, + rhofor_t,rhotot_t,substructure_t, + tausolute,dtauc,dssdtot,dforest, + dsubstructure,dssd,dloop) ! ! ! ! ! Update the hardening states ! tauc = tauc_t + dtauc ! ssd = ssd_t + dssd ! loop = loop_t + dloop ! ssdtot = ssdtot_t + dssdtot ! forest = forest_t + dforest ! substructure = substructure_t + dsubstructure ! ! ! ! Recalculate total and forest density call totalandforest(phaid, + nscrew, nslip, gnd_t, + ssd, ssdtot, forest, + forestproj, slip2screw, rhotot, + sumrhotot, rhofor) ! ! ! ! Store the former value of effective tauc tauceff_old = tauceff ! ! Recalculate slip resistance for the next iteration ! Calculate crss call slipresistance(phaid, nslip, + gf, G12, burgerv, sintmat1, sintmat2, + tauc, rhotot, sumrhotot, rhofor, + substructure, tausolute, loop, + hardeningmodel, hardeningparam, + irradiationmodel, irradiationparam, + mattemp, tauceff) ! ! ! Calculate the change of state ! with respect to the former increment dtauceff = abs(tauceff-tauceff_old) ! ! Explicit state update if (stateupdate==0) then dtauceffnorm = 0. ! Semi-implicit state update elseif (stateupdate==1) then dtauceffnorm = maxval(dtauceff) end if ! ! ! ! Check if the statevariables going negative due to softening ! This may happen at high temperature and strain rates constants going bad if(any(tauc < 0.)) then ! did not converge cpconv = 0 return endif ! if(any(ssd < 0.)) then ! did not converge cpconv = 0 return endif ! ! Loop density set to zero if negative do il = 1, maxnloop if(loop(il) < 0.) then ! loop(il) = 0. ! endif enddo ! ! if(any(forest < 0.)) then ! did not converge cpconv = 0 return endif ! if(substructure < 0.) then ! did not converge cpconv = 0 return endif ! ! ! Update backstress if local model is selected if (backstressmodel==1) then ! call backstressmodel1(backstressparam, + nslip,X,gammadot,dt,dX) ! ! Update the backstress X = X_t + dX ! end if ! ! ! increment iteration no. oiter = oiter + 1 ! ! End of state update (outer loop) end do ! ! ! ! convergence check if (oiter == maxniter) then ! did not converge cpconv = 0 return end if ! ! ! ! ! calculate jacobian jacobi = matmul(invdpsi_dsigma,Cs) ! ! ! ! Check for NaN in the jacobi matrix if(any(jacobi/=jacobi)) then ! did not converge cpconv = 0 return endif ! ! ! ! ! convert it to 3x3 marix call vecmat6(sigma,sigma33) ! ! Trace of stress call trace3x3(sigma33,sigmaii) ! ! deviatoric stress sigmadev = sigma33 - sigmaii*I3/3. ! ! Von-Mises stress vms = sqrt(3./2.*(sum(sigmadev*sigmadev))) ! ! ! variables for plastic part of the deformation gradient !dummy33 = I3 - Lp*dt !call inv3x3(dummy33,dummy33_,dummy0) dummy33_ = I3 + Lp*dt ! ! plastic part of the deformation gradient Fp = matmul(dummy33_,Fp_t) ! ! determinant call deter3x3(Fp,detFp) ! ! ! ! ! check wheter the determinant is negative ! or close zero if (detFp <= smallnum) then ! did not converge cpconv = 0 return else ! Scale Fp with its determinant to make it isochoric Fp = Fp / detFp**(1./3.) ! end if ! ! ! Calculate inverse of the plastic deformation gradient call inv3x3(Fp,invFp,detFp) ! ! Calculate the elastic deformation Fe = matmul(F,invFp) ! ! Calculate inverse of the elastic deformation gradient call inv3x3(Fe,invFe,detFe) ! ! Corrected Lp Lp_ = matmul(matmul(Fe,Lp),invFe) ! ! ! Elastic part of the velocity gradient Le = L - Lp_ ! ! Elastic spin We = (Le - transpose(Le)) / 2. ! ! ! ! stress rate due to spin dotsigma33 = matmul(W,sigma33) - matmul(sigma33,W) ! ! ! Update co-rotational sress state sigma33 = sigma33 + dotsigma33*dt ! ! ! Vectorize stress call matvec6(sigma33,sigma) ! ! ! ! ! ! Orientation update ! ! Intermediate variable dR = I3 + We*dt ! ! ! ! ! Update the crystal orientations gmatinv = matmul(dR, gmatinv_t) ! ! dstrane33=Fe-I3 ! ! ! Elastic strains in the crystal reference dummy33_ = matmul(transpose(gmatinv),dstrane33) dummy33 = matmul(dummy33_,gmatinv) ! ! Vectorize call matvec6(dummy33,dummy6) ! ! Shear corrections dummy6(4:6) = 2.0*dummy6(4:6) ! ! Add the strain increment to the former value Eec=Eec_t+dummy6 ! ! ! Plastic dissipation power density plasdiss=0. do is = 1, nslip ! plasdiss = plasdiss + + tau(is)*gammadot(is)*dt ! enddo ! ! ! Sum over the fomer value plasdiss = plasdiss_t + plasdiss ! ! ! ! ! ! ! ! ! ! ! return end subroutine CP_Dunne ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! Implicit state update rule ! Solution using the updated state variables subroutine rotateslipsystems(iphase,nslip,caratio, + gmatinv,dirc,norc,dirs,nors) implicit none integer, intent(in) :: iphase integer, intent(in) :: nslip real(8), intent(in) :: caratio real(8), intent(in) :: gmatinv(3,3) real(8), intent(in) :: dirc(nslip,3) real(8), intent(in) :: norc(nslip,3) real(8), intent(out) :: dirs(nslip,3) real(8), intent(out) :: nors(nslip,3) ! integer :: i, is real(8) :: tdir(3), tnor(3) real(8) :: tdir1(3), tnor1(3) real(8) :: dirmag, normag ! dirs=0.;nors=0. ! ! do is=1,nslip ! rotate slip directions ! tdir = dirc(is,:) tnor = norc(is,:) ! ! ! tdir1 = matmul(gmatinv,tdir) tnor1 = matmul(gmatinv,tnor) ! dirmag = norm2(tdir1) normag = norm2(tnor1) ! ! dirs(is,:) = tdir1/dirmag nors(is,:) = tnor1/normag ! ! end do ! ! ! ! return end subroutine rotateslipsystems ! ! ! ! ! ! ! ! ! ! ! ! ! end module cpsolver ================================================ FILE: Example - Residual deformation/creep.f ================================================ ! Oct. 6th, 2022 ! Eralp Demir ! Creep laws ! 1. exponential law (used for Ni-superalloy) ! module creep implicit none contains ! ! subroutine expcreep(Schmid_0, + Schmid,SchmidxSchmid,tau,X,tauc, + dtime,nslip,iphase,T,creepparam,slipsysplasstran, + Lp,Dp,Pmat,gammadot,dgammadot_dtau,dgammadot_dtauc) ! use globalvariables, only : Rgas use utilities, only : gmatvec6 use userinputs, only: maxnparam implicit none ! Schmid tensor - undeformed real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor - deformed real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! time increment real(8), intent(in) :: dtime ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: creepparam(maxnparam) ! accumulated plastic strain on each slip system, signed real(8), intent(in) :: slipsysplasstran(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! variables used within this subroutine real(8) :: gammadotc, gammadotd, bc, bd, Qc, Qd real(8) :: abstau, signtau integer :: is ! ! ! ! ! Obtain creep parameters ! reference creep rate (1/s) gammadotc = creepparam(1) ! creep stress multiplier (1/MPa) bc = creepparam(5) ! activation energy for creep (J/mol) Qc = creepparam(3) ! reference damage rate (1/s) gammadotd = creepparam(4) ! damage stress multiplier (1/MPa) bd = creepparam(5) ! activation energy for damage (J/mol) Qd = creepparam(6) ! ! ! Pmat = 0.; Lp = 0.; Dp = 0. ! gammadot=0. dgammadot_dtau=0. dgammadot_dtauc=0. ! ! ! ! contribution to Lp of all slip systems do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! This statement is redundant so commented out! ! if (abstau > 0.0) then ! ! gammadot(is) = + signtau*gammadotc*exp(bc*abstau-Qc/Rgas/T) + + signtau*abs(slipsysplasstran(is))*gammadotd* + exp(bd*abstau-Qd/Rgas/T) ! dgammadot_dtau(is) = gammadotc*bc* + exp(bc*abstau-Qc/Rgas/T) + + abs(slipsysplasstran(is))* + gammadotd*bd*exp(bd*abstau-Qd/Rgas/T) ! ! ! ! ! contribution to Jacobian Pmat = Pmat + dtime*dgammadot_dtau(is) + *SchmidxSchmid(is,:,:) ! ! plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! ! plastic velocity gradient contribution Dp = Dp + gammadot(is)*Schmid(is,:,:) ! ! ! endif ! ! ! end do ! ! ! ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! ! ! end subroutine expcreep ! ! ! ! ! end module creep ================================================ FILE: Example - Residual deformation/crss.f ================================================ ! Oct. 03rd, 2022 ! Eralp Demir ! module crss implicit none contains ! ! ******************************************************** ! ** crss calculates the crss of slip systems ** ! ******************************************************** subroutine slipresistance(iphase,nslip,gf,G12, + burgerv,sintmat1,sintmat2, + tauc0,rhotot,sumrhotot,rhofor, + rhosub,tausolute,loop, + hardeningmodel, hardeningparam, + irradiationmodel,irradiationparam, + temperature, + tauc) use userinputs, only: useaveragestatevars, + maxnloop, maxnparam implicit none ! ! crystal type integer,intent(in) :: iphase ! ! number of slip systems integer,intent(in) :: nslip ! ! geometric factor real(8),intent(in) :: gf ! ! shear modulus for taylor dislocation law real(8),intent(in) :: G12 ! ! burgers vectors real(8),intent(in) :: burgerv(nslip) ! ! Strength interaction matrices ! Strength interaction between dislocations real(8), intent(in) :: sintmat1(nslip,nslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(in) :: sintmat2(nslip,nslip) ! ! ! critical resolved shear stress of slip systems real(8),intent(in) :: tauc0(nslip) ! ! total dislocation density (immobile) real(8),intent(in) :: rhotot(nslip) ! ! total scalar dislocation density (immobile) real(8),intent(in) :: sumrhotot ! ! forest dislocation density real(8),intent(in) :: rhofor(nslip) ! ! substructure dislocation density real(8),intent(in) :: rhosub ! ! increase in tauc due to solute force real(8),intent(in) :: tausolute ! ! increase in tauc due to loop defects real(8),intent(in) :: loop(maxnloop) ! ! hardeningmodel integer,intent(in) :: hardeningmodel ! ! hardening model parameters real(8),intent(in) :: hardeningparam(maxnparam) ! ! activate irradiation effect integer,intent(in) :: irradiationmodel ! ! irradiation model parameters real(8),intent(in) :: irradiationparam(maxnparam) ! ! current temperature real(8),intent(in) :: temperature ! ! critical resolved shear stress of slip systems real(8),intent(out) :: tauc(nslip) ! ! variables used in this subroutine integer :: is, il, nloop real(8) :: Ploop(nslip) ! ! Subtructure density real(8) :: tausub(nslip) ! Substructure factor real(8) :: ksub ! ! Precipitate strengthening parameters ! Strength factor / geometric factor real(8) :: gfp ! Number density of precipitates [1/mm^3] real(8) :: rhop ! Particle diameter [mm] real(8) :: Dp ! ! ! Reset the density of loops Ploop = 0. ! ! Reset Substructure density tausub = 0. ! ! ! Reset Precipitate strength if (hardeningmodel==5) then ! Precipitate strength parameters gfp=hardeningparam(5) rhop=hardeningparam(6) Dp=hardeningparam(7) else gfp=0.; rhop=0.; Dp=0. end if ! ! ! ! If irradiation model-2 is set ON ! Compute the strength contribution if (irradiationmodel==2) then ! ! Number of defects nloop = int(irradiationparam(1)) ! do is = 1, nslip ! ! do il = 1, 3 ! Ploop(is) = Ploop(is) + + sintmat2(is,il)**2. * loop(il) ! end do ! end do ! ! ! end if ! ! ! ! ! ! ! ! Check crystal type ! Only for alpha-uranium there is an exception ! ! ! ! Defined by data fitting ! as a function of rhofor, rhosub, and temperature if (iphase == 4) then ! ! alpha-uranium model with forest and substructure dislocations ! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tome ! Deformation of wrought uranium: experiments and modeling ! Acta Materialia 58 (2010) 5447–5459 tauc(1) = tauc0(1) + 19.066 * dsqrt(rhofor(1)) + + 1.8218 * dsqrt(rhosub) * + log(1. / burgerv(1) / dsqrt(rhosub)) tauc(2) = tauc0(2) + 18.832 * dsqrt(rhofor(2)) + + 1.7995 * dsqrt(rhosub) * + log(1. / burgerv(2) / dsqrt(rhosub)) tauc(3) = tauc0(3) + 54.052 * dsqrt(rhofor(3)) + + 5.1650 * dsqrt(rhosub) * + log(1. / burgerv(3) / dsqrt(rhosub)) tauc(4) = tauc0(4) + 54.052 * dsqrt(rhofor(4)) + + 5.1650 * dsqrt(rhosub) * + log(1. / burgerv(4) / dsqrt(rhosub)) tauc(5) = tauc0(5) + 123.357 * dsqrt(rhofor(5)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(5) / dsqrt(rhosub)) tauc(6) = tauc0(6) + 123.357 * dsqrt(rhofor(6)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(6) / dsqrt(rhosub)) tauc(7) = tauc0(7) + 123.357 * dsqrt(rhofor(7)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(7) / dsqrt(rhosub)) tauc(8) = tauc0(8) + 123.357 * dsqrt(rhofor(8)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(8) / dsqrt(rhosub)) ! ! zecevic 2016 temperature dependence tauc(1) = tauc(1) * dexp(-(temperature-293.0)/140.0) tauc(2) = tauc(2) * dexp(-(temperature-293.0)/140.0) tauc(3) = tauc(3) * dexp(-(temperature-293.0)/140.0) tauc(4) = tauc(4) * dexp(-(temperature-293.0)/140.0) tauc(5) = tauc(5) * dexp(-(temperature-293.0)/140.0) tauc(6) = tauc(6) * dexp(-(temperature-293.0)/140.0) tauc(7) = tauc(7) * dexp(-(temperature-293.0)/140.0) tauc(8) = tauc(8) * dexp(-(temperature-293.0)/140.0) ! ! daniel, lesage, 1971 minimum value as minima tauc(1) = max(tauc(1),4.0) tauc(2) = max(tauc(2),4.0) tauc(3) = max(tauc(3),4.0) tauc(4) = max(tauc(4),4.0) tauc(5) = max(tauc(5),4.0) tauc(6) = max(tauc(6),4.0) tauc(7) = max(tauc(7),4.0) tauc(8) = max(tauc(8),4.0) ! ! ! ! For any other phase ! Use forest/total dislocation spacing to determine the strength ! else ! ! Substructure density if (hardeningmodel==4) then ! do is = 1, nslip ksub = hardeningparam(9) tausub(is) = ksub*G12*burgerv(is)* + dsqrt(rhosub) *dlog(1./burgerv(is)/dsqrt(rhosub)) end do ! end if ! ! if (useaveragestatevars == 0) then ! do is = 1, nslip ! ! !! Taylor strength - total density / backstress ! tauc(is) = tauc0(is) + ! + G12*burgerv(is)*dsqrt(gf**2.*rhotot(is) + Ploop(is)) ! ! ! Taylor strength - forest spacing / cut-through tauc(is) = tauc0(is) + + G12*burgerv(is)*dsqrt(gf**2.*rhofor(is) + + Ploop(is) + gfp**2.*rhop*Dp) ! ! ! Add the effect of substructure density tauc(is) = tauc(is) + tausub(is) ! end do ! ! ! elseif (useaveragestatevars == 1) then ! ! do is = 1, nslip ! ! Taylor strength - total density tauc(is) = tauc0(is) + + G12*burgerv(is)*dsqrt(gf**2.*sumrhotot + + Ploop(is) + gfp**2.*rhop*Dp) ! ! !! Taylor strength - total density ! tauc(is) = tauc0(is)*(1.-X) + ! + G12*burgerv(is)*dsqrt(X*tauc0(is)/G12/burgerv(is) + ! + gf**2.*rhotot + Ploop(is)) ! ! ! Add the effect of substructure density tauc(is) = tauc(is) + tausub(is) ! end do ! endif ! ! ! ! ! ! ! end if ! check crystal type ! ! ! ! Effect of irradiation ! True for all crystal types if (irradiationmodel == 1) then tauc = tauc + tausolute end if ! ! ! return ! end subroutine slipresistance ! ! ! ! Calculates the total and forest density ! from SSD and GND densities using summation ! and forest projections subroutine totalandforest(iphase, nscrew, nslip, + gnd, ssd, ssdtot, forest, forestproj, slip2screw, + rhotot, sumrhotot, rhofor) use utilities, only : vecprod implicit none integer, intent(in) :: iphase integer, intent(in) :: nscrew integer, intent(in) :: nslip real(8), intent(in) :: gnd(nslip+nscrew) real(8), intent(in) :: ssd(nslip) real(8), intent(in) :: ssdtot real(8), intent(in) :: forest(nslip) real(8), intent(in) :: forestproj(nslip,nslip+nscrew) real(8), intent(in) :: slip2screw(nscrew,nslip) real(8), intent(out) :: rhotot(nslip) real(8), intent(out) :: sumrhotot real(8), intent(out) :: rhofor(nslip) ! ! local variables ! real(8) vec(3) integer i, j ! ! ! ! ! ! Compute forest density ! Add gnd and sdd contributions (if exist) ! Forest projections rhofor = forest + matmul(forestproj, abs(gnd)) + + matmul(forestproj(1:nslip,1:nslip), ssd) + ! edges + matmul(forestproj(1:nslip,nslip+1:nslip+nscrew), + matmul(slip2screw,ssd)) ! screws ! ! rhotot = ssd + + abs(gnd(1:nslip)) + ! edges + matmul(transpose(slip2screw), abs(gnd(nslip+1:nslip+nscrew))) ! screws ! ! ! ! Scalar sum sumrhotot = sqrt(sum(gnd*gnd)) + ssdtot ! ! return end subroutine totalandforest ! end module crss ================================================ FILE: Example - Residual deformation/errors.f ================================================ ! Sept. 26th, 2022 ! Eralp Demir ! ! This is written point the user to the sources of errors ! module errors implicit none ! contains ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine error(errorid) implicit none ! ! ! integer :: errorid ! ! ! Message only when exiting the subroutine ! if(errorid.eq.1) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-001: Material-ID is out of range (1-9). + Pls. check materials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.2) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-002: Element type is not defined! + Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.3) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-003: "cubicslip" integer parameter is not + properly defined. Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.4) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-004: phase id of the material is not + within the possible limits!. Pls. check PROPS variable!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.5) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-005: "temperatureflag" is not + within the possible limits. Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.6) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-006: "NSTATV" is less than the + defined outputs. + Pls. check DEPVAR in ABAQUS!' write(*,*) 'Exiting!' write(*,*) '*******************************************' else if (errorid.eq.7) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-007: GND calculation is not possible + for the selected element type. + Pls. change the element type in ABAQUS!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.8) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-008: Zero activation volume! + Pls. check the slip parameters and make sure that the + initial dislocation density has non-zero value + in usermaterials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.9) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-009: Could not read the element type + and the total number of elements from *.INP file. + Pls. check the file name in usermaterials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' else if (errorid.eq.10) then ! write(*,*) '*******************ERROR*******************' ! write(*,*) 'ERROR-010: "Bmat" for L2 method ! + is not invertible. ! + GND model will give zero GND densities!.' ! write(*,*) '*******************************************' else if (errorid.eq.11) then ! write(*,*) '******************WARNING******************' ! write(*,*) 'ERROR-006: WARNING DFGRD1 = NaN!' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '*******************************************' else if (errorid.eq.12) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-012: Lp iteration did not converge' ! write(*,*) 'Using forward-gradient Euler predictor' ! write(*,*) '**********************************************' else if (errorid.eq.13) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-013: singular matrix in Lp iteration' ! write(*,*) 'Will continue if alternate solution exists!' ! write(*,*) '**********************************************' else if (errorid.eq.14) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-014: forward-gradient Euler predictor ! + did not converge or it does not exist' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.15) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-015: tmat array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.16) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-016: NR scheme reached maximum number of ! + iterations' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.17) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-017: stress array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.18) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-018: jacobian array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.19) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-019: det(Fp) is close to zero' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.20) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-020: det(Fe) is close to zero' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.21) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-021: state variables become negative' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.22) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-022: inversion in predictor did not work' ! write(*,*) '' ! write(*,*) '**********************************************' else write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-???: Unknown error!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit end if ! ! return end subroutine error ! ! ! end module errors ================================================ FILE: Example - Residual deformation/globalvariables.f ================================================ ! Sept. 20th, 2022 ! Eralp Demir ! University of Oxford ! ! Global variables used within the code module globalvariables implicit none ! ! ! ! MATERIAL-LINKED GLOBAL VARIABLES ! ------------------------------------------------------------------------------- ! Global variable for Euler angles real(8), allocatable, public :: Euler(:,:) ! ! Global variable storing grain id ! Different grains can be present in the mesh integer, allocatable, public :: featureid(:,:) ! ! Global variable storing material id integer, allocatable, public :: materialid(:,:) ! ! Different phases can be present in the mesh integer, allocatable, public :: phaseid(:,:) ! ! ! ! Global variable storing phase-id ! This refers to the crystal structure ! Different phases can be present in the mesh integer, allocatable, public :: phaseid_all(:) ! ! Global variable for number of slip systems ! Number of slip systems could be different for each ip integer, allocatable, public :: numslip_all(:) ! ! Global variable for number of slip systems ! Required for GND calculations ! Number of slip systems could be different for each ip integer, allocatable, public :: numscrew_all(:) ! ! Slip model identifier ! 0: no slip (if only creep is considered) ! 1: sinh law ! 2: double exponent law ! 3: power law integer, allocatable, public :: slipmodel_all(:) ! ! Slip parameters ! Array size adjustable real(8), allocatable, public :: slipparam_all(:,:) ! For sinh law (slipmodel=1) ! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined, ! the alpha calculation will be ignored ! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined, ! the beta calculation will be ignored ! 3: psi / fraction of mobile dislocations / [-] / alpha calculation ! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation ! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation ! 6: nu0 / attempt frequency / [1/s] / alpha calculation ! 7: gamma0 / reference slip strain / [-] / beta calculation ! ! For double exponent law (slipmodel=2) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: p / inner exponent / [-] ! 3: q / outer exponent / [-] ! 4: DeltaFoct / activation energy for octahedral slip / [J/mol] ! 5: DeltaFcub / activation energy for cubic slip / [J/mol] ! ! For power law (slipmodel=3) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: n / power exponent / [-] ! ! ! Creep model identifier ! 0: no creep ! 1: sinh slip strain ! 2: exponential slip strain ! 3: power law slip strain ! 4: sinh slip strain + climb strain ! Default value is set to 0 integer, allocatable, public :: creepmodel_all(:) ! Creep parameters ! Array size adjustable real(8), allocatable, public :: creepparam_all(:,:) ! ! Hardening identifier ! 0: Hardening is off (tauc constant) ! 1: Kocks-Mecking hardening ! 2: Voce type hardening ! Default value is set to 0 integer, allocatable, public :: hardeningmodel_all(:) ! Hardening parameters ! Array size adjustable real(8), allocatable, public :: hardeningparam_all(:,:) ! ! Irradiation identifier ! 0: Irradiaion is off ! 1: Irradiation is on ! Default value is set to 0 integer, allocatable, public :: irradiationmodel_all(:) ! Irradiation model parameters ! Array size adjustable real(8), allocatable, public :: irradiationparam_all(:,:) ! 1: tau_s0: initial solute strength ! 2: gamma_s: saturation value of the cumulative slip ! 3: psi / fraction of mobile density for irradiated material for sinh law ! ! ! Backstress model parameters ! Array size adjustable (maxnmaterial, maxnparam) real(8), allocatable, public :: backstressparam_all(:,:) ! ! The following variables are stored for every element and ip ! INITALLY - only once at the beginning ! This is done for the following reasons ! 1. In order to reduce computation time ! 2. Various materials can be present in the mesh ! ! Global variable for caratio real(8), allocatable, public :: caratio_all(:) ! ! Global variable for cubicslip integer, allocatable, public :: cubicslip_all(:) ! ! Global variable for elasticity in crystal reference real(8), allocatable, public :: Cc_all(:,:,:) ! ! Global variable for geometric factor in Taylor equation real(8), allocatable, public :: gf_all(:) ! ! Global variable for shear modulus real(8), allocatable, public :: G12_all(:) ! ! Global variable for Poisson's ratio real(8), allocatable, public :: v12_all(:) ! ! Global variable for thermal expansion matrix real(8), allocatable, public :: alphamat_all(:,:,:) ! ! Global variable for Burgers vector real(8), allocatable, public :: burgerv_all(:,:) ! ! ! INTERACTION MATRICES ! Global variables for dislocation strength interaction matrix real(8), allocatable, public :: sintmat1_all(:,:,:) ! ! Global variable for dislocation irradiation loop strength interaction matrix real(8), allocatable, public :: sintmat2_all(:,:,:) ! ! Global variable for latent hardening interaction real(8), allocatable, public :: hintmat1_all(:,:,:) ! ! Global variable for dislocation hardening interaction real(8), allocatable, public :: hintmat2_all(:,:,:) ! ! Screw systems integer, allocatable, public :: screw_all(:,:) ! ! ! ! ------------------------------------------------------------------------------- ! ! ! ! ! TIME (SOLUTION) DEPENDENT GLOBAL VARIABLES ! ------------------------------------------------------------------------------- ! time at former time step real(8), public :: time_old ! ! time increment at former time step real(8), public :: dt_t ! ! Global initialization flag for elemental initialization ! Orientation assigment ! Initial slip direction calculations ! Global coordinates integer, allocatable, public :: initialized_firstinc(:,:) ! ! ! Global initialization flag for IP initialization integer, allocatable, public :: ip_init(:,:) ! ! Global one-time initialization flag integer, public :: init_once ! ! Global one-time initialization flag integer, public :: grad_init ! ! Global flag for IP count (10m elements, 100 ips) integer, allocatable, public :: ip_count(:,:) ! ! Crystal orientation at current time step real(8), allocatable, public :: statev_gmatinv(:,:,:,:) ! Crystal orientation at former time step real(8), allocatable, public :: statev_gmatinv_t(:,:,:,:) ! Crystal orientation initially real(8), allocatable, public :: statev_gmatinv_0(:,:,:,:) ! ! Total cumulative Von-Mises equivalent plastic strain at current time step real(8), allocatable, public :: statev_evmp(:,:) ! Total cumulative Von-Mises equivalent plastic strain at former time step real(8), allocatable, public :: statev_evmp_t(:,:) ! ! Plastic dissipation power density at current time step real(8), allocatable, public :: statev_plasdiss(:,:) ! Plastic dissipation power density at former time step real(8), allocatable, public :: statev_plasdiss_t(:,:) ! ! Effective critical resolved shear stress at current time step real(8), allocatable, public :: statev_tauceff(:,:,:) ! ! ! Total cumulative slip at current time step real(8), allocatable, public :: statev_totgammasum(:,:) ! Total cumulative slip at former time step real(8), allocatable, public :: statev_totgammasum_t(:,:) ! ! Cumulative slip at current time step real(8), allocatable, public :: statev_gammasum(:,:,:) ! Cumulative slip at former time step real(8), allocatable, public :: statev_gammasum_t(:,:,:) ! ! Slip rates at current time step real(8), allocatable, public :: statev_gammadot(:,:,:) ! Slip rates at former time step real(8), allocatable, public :: statev_gammadot_t(:,:,:) ! ! ! Global variable for the inverse of the residual deformation real(8), allocatable, public :: statev_Fr(:,:,:,:) ! ! Plastic part of the deformation gradient at current time step real(8), allocatable, public :: statev_Fp(:,:,:,:) ! Plastic part of the deformation gradient at former time step real(8), allocatable, public :: statev_Fp_t(:,:,:,:) ! ! ! Thermal part of the deformation gradient at current time step real(8), allocatable, public :: statev_Fth(:,:,:,:) ! Thermal part of the deformation gradient at former time step real(8), allocatable, public :: statev_Fth_t(:,:,:,:) ! ! ! Cauchy stress at current time step real(8), allocatable, public :: statev_sigma(:,:,:) ! Cauchy stress at former time step real(8), allocatable, public :: statev_sigma_t(:,:,:) ! Cauchy stress at previous time step real(8), allocatable, public :: statev_sigma_t2(:,:,:) ! ! Cauchy stress at current time step real(8), allocatable, public :: statev_jacobi(:,:,:,:) ! Cauchy stress at former time step real(8), allocatable, public :: statev_jacobi_t(:,:,:,:) ! ! ! Critical resolved shear stress at current time step real(8), allocatable, public :: statev_tauc(:,:,:) ! Critical resolved shear stress at former time step real(8), allocatable, public :: statev_tauc_t(:,:,:) ! ! maximum of the tau/tauc ratio at current time step real(8), allocatable, public :: statev_maxx(:,:) ! maximum of tau/tauc ratio at former time step real(8), allocatable, public :: statev_maxx_t(:,:) ! ! elastic strains at the crystal ref. at current time step real(8), allocatable, public :: statev_Eec(:,:,:) ! elastic strains at the crystal ref. at former time step real(8), allocatable, public :: statev_Eec_t(:,:,:) ! ! Lattice curvature at current time step real(8), allocatable, public :: statev_curvature(:,:,:) ! ! Incompatibility at current time step real(8), allocatable, public :: statev_Lambda(:,:,:) ! Incompatibility at former time step real(8), allocatable, public :: statev_Lambda_t(:,:,:) ! ! GND density per slip system at current time step real(8), allocatable, public :: statev_gnd(:,:,:) ! GND density per slip system at former time step real(8), allocatable, public :: statev_gnd_t(:,:,:) ! GND density per slip system initially - EBSD import real(8), allocatable, public :: statev_gnd_0(:,:,:) ! ! SSD density per slip system at current time step real(8), allocatable, public :: statev_ssd(:,:,:) ! SSD density per slip system at former time step real(8), allocatable, public :: statev_ssd_t(:,:,:) ! ! Total SSD density at current time step real(8), allocatable, public :: statev_ssdtot(:,:) ! Total SSD density at former time step real(8), allocatable, public :: statev_ssdtot_t(:,:) ! ! Forest dislocation density per slip system at current time step real(8), allocatable, public :: statev_forest(:,:,:) ! Forest dislocation density per slip system at former time step real(8), allocatable, public :: statev_forest_t(:,:,:) ! ! Substructure dislocation density for irradiation per slip system at current time step real(8), allocatable, public :: statev_substructure(:,:) ! Substructure dislocation density for irradiation per slip system at former time step real(8), allocatable, public :: statev_substructure_t(:,:) ! ! Solute strength for irradiation per slip system at current time step real(8), allocatable, public :: statev_tausolute(:,:) ! Solute strength for irradiation per slip system at former time step real(8), allocatable, public :: statev_tausolute_t(:,:) ! ! ! Defect loop density for irradiation per slip system at current time step real(8), allocatable, public :: statev_loop(:,:,:) ! Defect loop for irradiation per slip system at former time step real(8), allocatable, public :: statev_loop_t(:,:,:) ! ! Backstress per slip system at current time step real(8), allocatable, public :: statev_backstress(:,:,:) ! Backstress per slip system at former time step real(8), allocatable, public :: statev_backstress_t(:,:,:) ! ! ------------------------------------------------------------------------------- ! ! ! ! MESH INPUTS ! ------------------------------------------------------------------------------- ! ! Total number of elements in the mesh ! Adaptive mesh cannot be used! integer, public :: numel ! ! Element type ! Single element type is possible throughout the mesh ! Please do not leave any spaces between the characters ! Use the element types defined in ABAQUS element library ! Please see meshprop.f for the list of available element types character(len=:), allocatable, public :: eltyp ! ! ! Number of integration points per element integer, public :: numpt ! ! Number of nodes per element integer, public :: nnpel ! ! ! Dimensions of the problem: ! Tensor dimensions in UMAT integer, public :: numtens ! ! 2: 2D / 3: 3D integer, public :: numdim ! ! ! ------------------------------------------------------------------------------- ! ! ! ! ------------------------------------------------------------------------------- ! ! GLOBAL VARIABLES FOR NON-LOCAL CALCULATIONS ! ------------------------------------------------------------------------------- ! These variables will be assigned at the initialization ! A single type of element is assumed throughout the mesh ! ! integration point domain (area/volume) real(8), allocatable, public :: ipdomain(:,:) ! ! integration point weights real(8), allocatable, public :: ipweights(:) ! ! Global integration point coordinates real(8), allocatable, public :: ipcoords(:,:,:) ! ! Element specific shape functions and mappings ! Dependent on element type ! ! Gradient map for elements real(8), allocatable, public :: gradip2ip(:,:,:,:) ! ! Interpolation matrix real(8), allocatable, public :: Nmat(:,:) ! ! Inverse of interpolation matrix real(8), allocatable, public :: invNmat(:,:) ! ! Shape function derivatives real(8), allocatable, public :: dNmat(:,:,:) ! ! Shape function derivatives at element center real(8), allocatable, public :: dNmatc(:,:) ! ! Element having a single IP integer, public :: calculategradient ! ! ------------------------------------------------------------------------------- ! ! ! ! ! CONSTANTS ! ------------------------------------------------------------------------------- ! ! Number pi real(8), parameter, public :: pi = 3.14159265359 ! ! Taylor factor for a polycrytal aggregate real(8), parameter, public :: TF = 3.1 ! ! Universal gas contant [J/mol/K] real(8), parameter, public :: Rgas = 8.31432 ! ! Boltzman contant [m2 kg s-2 K-1 ] real(8), parameter, public :: KB = 1.380649d-23 ! ! Small real number real(8), parameter, public :: smallnum = 1.0d-20 ! ! Large real number real(8), parameter, public :: largenum = 1.0d+50 ! ------------------------------------------------------------------------------- ! ! ! ! ! IDENTITY TENSORS ! ------------------------------------------------------------------------------- ! ! Identity matrix (3x3) real(8), public :: I3(3,3) ! ! Identity matrix (6x6) real(8), public :: I6(6,6) ! ! Identity matrix (9x9) real(8), public :: I9(9,9) ! ! Permutation symbol (3,3,3) real(8), public :: eijk(3,3,3) ! ! ! SLIP DIRECTIONS ! ------------------------------------------------------------------------------- ! ! ! Global variable for slip directions ! Slip direction can be different for each material real(8), allocatable, public :: dirc_0_all(:,:,:) ! ! Global variable for slip plane normal ! Slip plane normal can be different for each material real(8), allocatable, public :: norc_0_all(:,:,:) ! ! Global variable for transverse direction ! Transverse direction can be different for each material real(8), allocatable, public :: trac_0_all(:,:,:) ! ! Global variable for line direction ! Line direction can be different for each material real(8), allocatable, public :: linc_0_all(:,:,:) ! ! Global variable for initial Schmid tensor at the sample referencec ! Schmid tensor can be different for each material real(8), allocatable, public :: Schmidc_0_all(:,:,:,:) ! ! Global variable for forest projections ! Forest projection for GND and SSD ! Can be different for each material real(8), allocatable, public :: forestproj_all(:,:,:) ! ! Global variable to map screw dislocations from the corespondent slip systems ! This is needed for gndmodels 4/5/6 where screw dislocations are computed at each system ! Therefore, need to account for only the defined set of screw systems ! Can be different for each material real(8), allocatable, public :: slip2screw_all(:,:,:) ! ! ! ! BCC slip directions real(8), public :: dir1(48,3) ! <111> {110} slip family data dir1(1,:) /-1., 1., 1. / data dir1(2,:) / 1., -1., 1. / data dir1(3,:) / 1., 1., 1. / data dir1(4,:) / 1., -1., 1. / data dir1(5,:) / 1., 1., 1. / data dir1(6,:) / 1., 1., -1. / data dir1(7,:) / 1., 1., 1. / data dir1(8,:) /-1., 1., 1. / data dir1(9,:) / 1., -1., 1. / data dir1(10,:) /1., 1., -1. / data dir1(11,:) /-1., 1., 1. / data dir1(12,:) / 1., 1., -1. / ! <111> {112} slip family data dir1(13,:) / 1., 1., -1. / data dir1(14,:) / 1., -1., 1. / data dir1(15,:) /-1., 1., 1. / data dir1(16,:) / 1., 1., 1. / data dir1(17,:) / 1., -1., 1. / data dir1(18,:) / 1., 1., -1. / data dir1(19,:) / 1., 1., 1. / data dir1(20,:) /-1., 1., 1. / data dir1(21,:) /-1., 1., 1. / data dir1(22,:) / 1., 1., 1. / data dir1(23,:) / 1., 1., -1. / data dir1(24,:) / 1., -1., 1. / ! <111> {123} slip family data dir1(25,:) / 1., 1., -1. / data dir1(26,:) / 1., -1., 1. / data dir1(27,:) /-1., 1., 1. / data dir1(28,:) / 1., 1., 1. / data dir1(29,:) / 1., -1., 1. / data dir1(30,:) / 1., 1., -1. / data dir1(31,:) / 1., 1., 1. / data dir1(32,:) /-1., 1., 1. / data dir1(33,:) / 1., 1., -1. / data dir1(34,:) / 1., -1., 1. / data dir1(35,:) /-1., 1., 1. / data dir1(36,:) / 1., 1., 1. / data dir1(37,:) / 1., -1., 1. / data dir1(38,:) / 1., 1., -1. / data dir1(39,:) / 1., 1., 1. / data dir1(40,:) /-1., 1., 1. / data dir1(41,:) /-1., 1., 1. / data dir1(42,:) / 1., 1., 1. / data dir1(43,:) / 1., 1., -1. / data dir1(44,:) / 1., -1., 1. / data dir1(45,:) /-1., 1., 1. / data dir1(46,:) / 1., 1., 1. / data dir1(47,:) / 1., 1., -1. / data dir1(48,:) / 1., -1., 1. / ! ! ! BCC slip plane normals real(8), public :: nor1(48,3) ! <111> {110} slip family data nor1(1,:) / 1., 1., 0. / data nor1(2,:) / 1., 1., 0. / data nor1(3,:) /-1., 0., 1. / data nor1(4,:) /-1., 0., 1. / data nor1(5,:) /-1., 1., 0. / data nor1(6,:) /-1., 1., 0. / data nor1(7,:) / 0., 1., -1. / data nor1(8,:) / 0., 1., -1. / data nor1(9,:) / 0., 1., 1. / data nor1(10,:) / 0., 1., 1. / data nor1(11,:) / 1., 0., 1. / data nor1(12,:) / 1., 0., 1. / ! <111> {112} slip family data nor1(13,:) / 1., 1., 2. / data nor1(14,:) /-1., 1., 2. / data nor1(15,:) / 1., -1., 2. / data nor1(16,:) / 1., 1., -2. / data nor1(17,:) / 1., 2., 1. / data nor1(18,:) /-1., 2., 1. / data nor1(19,:) / 1., -2., 1. / data nor1(20,:) / 1., 2., -1. / data nor1(21,:) / 2., 1., 1. / data nor1(22,:) /-2., 1., 1. / data nor1(23,:) / 2., -1., 1. / data nor1(24,:) / 2., 1., -1. / ! <111> {123} slip family data nor1(25,:) / 1., 2., 3. / data nor1(26,:) / -1., 2., 3. / data nor1(27,:) / 1., -2., 3. / data nor1(28,:) / 1., 2., -3. / data nor1(29,:) / 1., 3., 2. / data nor1(30,:) / -1., 3., 2. / data nor1(31,:) / 1., -3., 2. / data nor1(32,:) / 1., 3., -2. / data nor1(33,:) / 2., 1., 3. / data nor1(34,:) / -2., 1., 3. / data nor1(35,:) / 2., -1., 3. / data nor1(36,:) / 2., 1., -3. / data nor1(37,:) / 2., 3., 1. / data nor1(38,:) / -2., 3., 1. / data nor1(39,:) / 2., -3., 1. / data nor1(40,:) / 2., 3., -1. / data nor1(41,:) / 3., 1., 2. / data nor1(42,:) / -3., 1., 2. / data nor1(43,:) / 3., -1., 2. / data nor1(44,:) / 3., 1., -2. / data nor1(45,:) / 3., 2., 1. / data nor1(46,:) / -3., 2., 1. / data nor1(47,:) / 3., -2., 1. / data nor1(48,:) / 3., 2., -1. / ! ! ! ! FCC slip directions real(8), public :: dir2(18,3) ! <110> {111} slip family data dir2(1,:) / 1., -1., 0. / data dir2(2,:) / 0., 1., -1. / data dir2(3,:) / 1., 0., -1. / data dir2(4,:) / 1., 1., 0. / data dir2(5,:) / 0., 1., -1. / data dir2(6,:) / 1., 0., 1. / data dir2(7,:) / 1., 1., 0. / data dir2(8,:) / 0., 1., 1. / data dir2(9,:) / 1., 0., -1. / data dir2(10,:) / 1., -1., 0. / data dir2(11,:) / 0., 1., 1. / data dir2(12,:) / 1., 0., 1. / ! <110> {100} cubic slip family data dir2(13,:) / 0., 1., 1. / data dir2(14,:) / 0., 1., -1. / data dir2(15,:) / 1., 0., 1. / data dir2(16,:) / 1., 0., -1. / data dir2(17,:) / 1., 1., 0. / data dir2(18,:) / 1., -1., 0. / ! ! ! FCC slip plane normals real(8), public :: nor2(18,3) ! <110> {111} slip family data nor2(1,:) / 1., 1., 1. / data nor2(2,:) / 1., 1., 1. / data nor2(3,:) / 1., 1., 1. / data nor2(4,:) /-1., 1., 1. / data nor2(5,:) /-1., 1., 1. / data nor2(6,:) /-1., 1., 1. / data nor2(7,:) / 1., -1., 1. / data nor2(8,:) / 1., -1., 1. / data nor2(9,:) / 1., -1., 1. / data nor2(10,:) / 1., 1., -1. / data nor2(11,:) / 1., 1., -1. / data nor2(12,:) / 1., 1., -1. / ! <110> {100} cubic slip family data nor2(13,:) / 1., 0., 0. / data nor2(14,:) / 1., 0., 0. / data nor2(15,:) / 0., 1., 0. / data nor2(16,:) / 0., 1., 0. / data nor2(17,:) / 0., 0., 1. / data nor2(18,:) / 0., 0., 1. / ! ! ! The directions are corrected by Alvaro 23.02.2023 ! HCP slip directions real(8), public :: dir3h(30,4) ! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio) data dir3h(1,:) / 2., -1., -1., 0./ data dir3h(2,:) /-1., 2., -1., 0./ data dir3h(3,:) /-1., -1., 2., 0./ ! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio) data dir3h(4,:) / 2., -1., -1., 0./ data dir3h(5,:) /-1., 2., -1., 0./ data dir3h(6,:) /-1., -1., 2., 0./ ! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data dir3h(7,:) /-1., 2., -1., 0./ data dir3h(8,:) /-2., 1., 1., 0./ data dir3h(9,:) /-1., -1., 2., 0./ data dir3h(10,:) / 1., -2., 1., 0./ data dir3h(11,:) / 2., -1., -1., 0./ data dir3h(12,:) / 1., 1., -2., 0./ ! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data dir3h(13,:) /-2., 1., 1., 3./ data dir3h(14,:) /-1., -1., 2., 3./ data dir3h(15,:) /-1., -1., 2., 3./ data dir3h(16,:) / 1., -2., 1., 3./ data dir3h(17,:) / 1., -2., 1., 3./ data dir3h(18,:) / 2., -1., -1., 3./ data dir3h(19,:) / 2., -1., -1., 3./ data dir3h(20,:) / 1., 1., -2., 3./ data dir3h(21,:) / 1., 1., -2., 3./ data dir3h(22,:) /-1., 2., -1., 3./ data dir3h(23,:) /-1., 2., -1., 3./ data dir3h(24,:) /-2., 1., 1., 3./ ! ! <11.3>{-1-1.2} / 2nd order pyramidal systems data dir3h(25,:) /-1., -1., 2., 3./ data dir3h(26,:) / 1., -2., 1., 3./ data dir3h(27,:) / 2., -1., -1., 3./ data dir3h(28,:) / 1., 1., -2., 3./ data dir3h(29,:) /-1., 2., -1., 3./ data dir3h(30,:) /-2., 1., 1., 3./ ! ! ! HCP slip plane normals real(8), public :: nor3h(30,4) ! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio) data nor3h(1,:) /0., 0., 0., 1./ data nor3h(2,:) /0., 0., 0., 1./ data nor3h(3,:) /0., 0., 0., 1./ ! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio) data nor3h(4,:) /0., 1., -1., 0./ data nor3h(5,:) /-1., 0., 1., 0./ data nor3h(6,:) /1., -1., 0., 0./ ! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data nor3h(7,:) /1., 0., -1., 1./ data nor3h(8,:) /0., 1., -1., 1./ data nor3h(9,:) /-1., 1., 0., 1./ data nor3h(10,:) /-1., 0., 1., 1./ data nor3h(11,:) /0., -1., 1., 1./ data nor3h(12,:) /1., -1., 0., 1./ ! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data nor3h(13,:) /1., 0., -1., 1./ data nor3h(14,:) /1., 0., -1., 1./ data nor3h(15,:) /0., 1., -1., 1./ data nor3h(16,:) /0., 1., -1., 1./ data nor3h(17,:) /-1., 1., 0., 1./ data nor3h(18,:) /-1., 1., 0., 1./ data nor3h(19,:) /-1., 0., 1., 1./ data nor3h(20,:) /-1., 0., 1., 1./ data nor3h(21,:) /0., -1., 1., 1./ data nor3h(22,:) /0., -1., 1., 1./ data nor3h(23,:) /1., -1., 0., 1./ data nor3h(24,:) /1., -1., 0., 1./ ! <11.3>{-1-1.2} / 2nd order pyramidal systems data nor3h(25,:) /1., 1., -2., 2./ data nor3h(26,:) /-1., 2., -1., 2./ data nor3h(27,:) /-2., 1., 1., 2./ data nor3h(28,:) /-1., -1., 2., 2./ data nor3h(29,:) /1., -2., 1., 2./ data nor3h(30,:) /2., -1., -1., 2./ ! ! ! Slip direction for alpha-Uranium ! see McCabe, Tome et al 2010 (Figure 2) real(8), public :: dir4(8,3) data dir4(1,:) /1.0, 0.0, 0.0/ data dir4(2,:) /1.0, 0.0, 0.0/ data dir4(3,:) /0.43731, -0.89931, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0) data dir4(4,:) /0.43731,0 .89931, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0) data dir4(5,:) /0.24074, -0.49507, 0.83483/ ! [1-12](021) -> [a,-b,2c](0,c,b/2) data dir4(6,:) /-0.24074, -0.49507, 0.83483/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2) data dir4(7,:) /0.24074, 0.49507, 0.83483/ ! [112](0-21) -> [a,b,2c](0,c,-b/2) data dir4(8,:) /0.24074, -0.49507, -0.83483/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2) ! ! ! Slip plane normals of alpha-Uranium ! see McCabe, Tome et al 2010 (Figure 2) real(8), public :: nor4(8,3) data nor4(1,:) /0.0, 1.0, 0.0/ data nor4(2,:) /0.0, 0.0, 1.0/ data nor4(3,:) /0.89931, 0.43731, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0) data nor4(4,:) /0.89931, -0.43731, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0) data nor4(5,:) /0.0, 0.86013, 0.51008/ ! [1-12](021) -> [a,-b,2c](0,c,b/2) data nor4(6,:) /0.0, 0.86013, 0.51008/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2) data nor4(7,:) /0.0, 0.86013, -0.51008/ ! [112](0-21) -> [a,b,2c](0,c,-b/2) data nor4(8,:) /0.0, 0.86013, -0.51008/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2) ! ! ! ! ! ------------------------------------------------------------------------------- ! end module globalvariables ================================================ FILE: Example - Residual deformation/hardening.f ================================================ ! Oct. 03rd, 2022 ! Eralp Demir ! module hardening implicit none contains ! Since crss is computed considering the phase ! Hardening shall evolve the proper state variables ! ! ! ******************************************** ! ** HARDENING updates the state variables ** ! ** that determine mechanical hardening ** ! ******************************************** subroutine hardeningrules(iphase,nslip, + temperature,dt,G12,burgerv, + totgammasum,gammadot,pdot, + irradiationmodel,irradiationparam, + hardeningmodel,hardeningparam, + hintmat1,hintmat2,tauc,ssd, + loop, rhofor, rhotot, + rhosub, tausolute, + dtauc,drhotot,drhofor, + drhosub, dssd, dloop) use globalvariables, only : KB use userinputs, only: maxnparam, maxnloop implicit none ! ! INPUTS ! crystal type integer,intent(in) :: iphase ! ! number of slip systems integer,intent(in) :: nslip ! ! current temperature real(8),intent(in) :: temperature ! ! time increment real(8),intent(in) :: dt ! ! shear modulus real(8),intent(in) :: G12 ! ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! ! ! cumulative crystallographic slip at the current tiemstep ! needed for model with irradiation real(8),intent(in) :: totgammasum ! ! plastic shear rate on slip systems ! and absolute value real(8),intent(in) :: gammadot(nslip) ! ! Von-mises equivalent plastic strain rate real(8),intent(in) :: pdot ! ! irradiation effect integer,intent(in) :: irradiationmodel ! ! irradiation model parameters real(8),intent(in) :: irradiationparam(maxnparam) ! ! hardening model integer,intent(in) :: hardeningmodel ! ! hardening parameters real(8),intent(in) :: hardeningparam(maxnparam) ! ! Hardening interaction matrices ! Latent hardening real(8), intent(in) :: hintmat1(nslip,nslip) ! Hardening interaction matrix between dislocations real(8), intent(in) :: hintmat2(nslip,nslip) ! ! crss real(8),intent(in) :: tauc(nslip) ! ! ssd density real(8),intent(in) :: ssd(nslip) ! ! loop density real(8),intent(in) :: loop(maxnloop) ! ! forest density real(8),intent(in) :: rhofor(nslip) ! ! total density real(8),intent(in) :: rhotot(nslip) ! ! substructure density real(8),intent(in) :: rhosub ! ! ! ! OUTPUTS ! increase in tauc due to solute force real(8),intent(out) :: tausolute ! ! crss increment real(8),intent(out) :: dtauc(nslip) ! ! ! ! ! total ssd density increment real(8),intent(out) :: drhotot ! ! forest dislocation density increment real(8),intent(out) :: drhofor(nslip) ! ! substructure dislocation density increment real(8),intent(out) :: drhosub ! ! ssd density increment real(8),intent(out) :: dssd(nslip) ! ! loop density increment real(8),intent(out) :: dloop(maxnloop) ! ! ! ! ! ! ! Variables used within this subroutine ! absolute value of the plastic shear rate on slip systems real(8), dimension(nslip) :: absgammadot ! Parameters for irradiation hardening real(8) :: taus0, gammasat, gamma ! Parameters for irradiation model = 2 integer :: nloop ! Parameters for Voce typ hardening model real(8) :: h0, ss, m, q, hb(nslip), Hab(nslip,nslip) ! Parameter for linear hardening model real(8) :: k ! Parameters for Kocks-Mecking hardening model real(8) :: k1, b, X, g, D, pdot0, k2, KBT ! Parameters for hardening model - 5 (KM) real(8) :: q1, q2, tot ! Additional parameters for substructure hardening real(8) :: f ! integer :: is, js, i, j integer :: il ! ! ! Set outputs zero initially dtauc = 0. dssd = 0. drhofor = 0. drhosub = 0. drhotot = 0. tausolute = 0. dloop = 0. ! ! ! ! absolute value of slip rates absgammadot = dabs(gammadot) ! ! ! ! Irradiation hardening ! ========================================================================= ! ! ! update solute force if (irradiationmodel == 1) then ! ! Prefactor in irradiation hardening taus0 = irradiationparam(1) ! ! Saturation strain gammasat = irradiationparam(2) ! ! Solute strength tausolute = taus0*dexp(-totgammasum/gammasat) ! end if ! ! ! ! update loop density if (irradiationmodel == 2) then ! ! Number of type of the loop defects nloop = int(irradiationparam(1)) ! ! Compute the evolution (annihiliation) do il = 1, nloop ! ! do is = 1, nslip ! dloop(il) = dloop(il) - hintmat2(il,is) * + sqrt(loop(il)) / burgerv(is) * absgammadot(is) * dt ! ! ! ! ! end do ! ! end do ! ! ! end if ! ! ! ! ========================================================================= ! ! ! ! Other strainhardening models ! No hardening if (hardeningmodel==0) then ! ! Do not harden! ! ! elseif (hardeningmodel==1) then ! ! read in the parameters h0 = hardeningparam(1) ss = hardeningparam(2) m = hardeningparam(3) q = hardeningparam(4) ! ! ! ! Construct the latent hardening matrix ! Note that this is a matrix different than latent hardening Hab = hintmat1 ! hb=0. do is = 1,nslip ! hb(is) = h0*(1.-tauc(is)/ss)**m* + absgammadot(is)*dt ! ! ! ! ! end do ! dtauc = matmul(Hab,hb) ! ! ! linear hardening model elseif (hardeningmodel==2) then ! ! read in the parameters k = hardeningparam(1) ! ! ! total density drhotot = k*pdot*dt ! ! SSD evolution do is = 1, nslip ! dssd(is) = k*absgammadot(is)*dt ! end do ! ! ! ! Kocks-Mecking hardening elseif (hardeningmodel==3) then ! ! input parameters k1 = hardeningparam(1) X = hardeningparam(3) g = hardeningparam(4) D = hardeningparam(5) pdot0 = hardeningparam(6) ! ! KBT = KB*temperature ! ! ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! Parametrically calculate softening factor if (hardeningparam(2)==0.) then k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0)) else k2 = hardeningparam(2) end if ! ! dssd(is) = (k1/b*dsqrt(rhofor(is))-k2*ssd(is))* + absgammadot(is)*dt ! ! ! end do ! drhotot = sum(dssd) ! ! Kocks-Mecking hardening with substructure evolution ! Reference: https://doi.org/10.1016/j.actamat.2010.06.021 ! elseif (hardeningmodel==4) then ! ! ! ! ! ! ! ! ! ! ! for alpha-uranium material parameters are built in if (iphase == 4) then ! ! ! ! forest dislocations evolution ! using constants from calibration of tensile bar 3 ! using twin-slip interaction model drhofor(1) = 43.2*max(dsqrt(rhofor(1))- + (0.17100+2.6093e-03*temperature) + *rhofor(1),0.0)*absgammadot(1)*dt drhofor(2) = 6320.0*max(dsqrt(rhofor(2))- + (0.25650+5.8708e-04*temperature) + *rhofor(2),0.0)*absgammadot(2)*dt drhofor(3) = 0.24*max(dsqrt(rhofor(3))- + (0.11718+1.9289e-04*temperature) + *rhofor(3),0.0)*absgammadot(3)*dt drhofor(4) = 0.24*max(dsqrt(rhofor(4))- + (0.11718+1.9289e-04*temperature) + *rhofor(4),0.0)*absgammadot(4)*dt drhofor(5) = 800.0*max(dsqrt(rhofor(5))- + (0.12+1.5e-05*temperature) + *rhofor(5),0.0)*absgammadot(5)*dt drhofor(6) = 800.0*max(dsqrt(rhofor(6))- + (0.12+1.5e-05*temperature) + *rhofor(6),0.0)*absgammadot(6)*dt drhofor(7) = 800.0*max(dsqrt(rhofor(7))- + (0.12+1.5e-05*temperature) + *rhofor(7),0.0)*absgammadot(7)*dt drhofor(8) = 800.0*max(dsqrt(rhofor(8))- + (0.12+1.5e-05*temperature) + *rhofor(8),0.0)*absgammadot(8)*dt ! ! substructure dislocations evolution drhosub = 0.216*(17.545+0.26771*temperature)* + rhofor(1)*dsqrt(rhosub)*absgammadot(1)*dt ! ! If any other material else ! ! ! input parameters k1 = hardeningparam(1) X = hardeningparam(3) g = hardeningparam(4) D = hardeningparam(5) pdot0 = hardeningparam(6) q = hardeningparam(7) f = hardeningparam(8) ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! Parametrically calculate softening factor if (hardeningparam(2)==0.) then k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0)) else k2 = hardeningparam(2) end if ! drhofor(is)=(k1/b*dsqrt(rhofor(is))-k2*rhofor(is)) + *absgammadot(is)*dt ! drhosub = drhosub + b*q*f*dsqrt(rhosub)* + k2*rhofor(is)*absgammadot(is)*dt ! ! end do ! ! ! ! ! end if ! ! UKAEA - model ! Vikram Phalke ! Kocks-Mecking hardening - based on total density elseif (hardeningmodel==5) then ! ! input parameters k1 = hardeningparam(1) k2 = hardeningparam(2) q1 = hardeningparam(3) q2 = hardeningparam(4) ! ! ! interaction matrix Hab = hintmat1 ! ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! tot = 0. do js=1,nslip ! ! total density (rhottot) is used to include GND effects ! instead of just SSD density tot=tot + Hab(is,js)*rhotot(js) ! end do ! dssd(is) = + (k1/b*dsqrt(tot)-k2*ssd(is))* + absgammadot(is)*dt ! ! end do ! drhotot = sum(dssd) ! ! ! UKAEA - model ! Yunzhou Bai ! Hardening model for EUROFER steel ! Kocks-Mecking hardening - based on martensite lath spacing elseif (hardeningmodel==6) then ! ! input parameters k1 = hardeningparam(1) k2 = hardeningparam(2) D = hardeningparam(3) ! ! ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! ! dssd(is) = (k1/D/b-k2*ssd(is))* + absgammadot(is)*dt ! ! end do ! drhotot = sum(dssd) ! ! ! ! ! end if ! return ! end subroutine hardeningrules ! ! ! ! ! end module hardening ================================================ FILE: Example - Residual deformation/initializations.f ================================================ ! Sept. 26th, 2022 ! Eralp Demir ! ! This module includes initialization scripts ! module initializations implicit none contains ! ! ! ! ! Subroutines that need to run once at the beginning of calculations subroutine initialize_once use meshprop, only : feprop use useroutputs, only: defineoutputs implicit none ! ! ! ! ! 1. Enter mesh/element properties ! to get number of integration points for array allocation call feprop write(*,*) '1. Mesh initialization completed!' ! ! 2. Allocate arrays call allocate_arrays write(*,*) '2. Array allocation completed!' ! ! 3. Initialize identity matrices call initialize_identity write(*,*) '3. Identity tensors initialized!' ! ! 4. Define outputs ! Based on the flag: "readfromprops = 0 / 1" ! Will be either read from PROPS or from useroutputs.f call defineoutputs write(*,*) '4. Outputs are defined using useroutputs.f!' ! ! ! 5. Read the input files if needed call readfiles write(*,*) '5. The necessary files were read!' ! ! return end subroutine initialize_once ! ! ! ! ! Subroutine to initialize global flags subroutine initialize_variables use userinputs, only: maxnumel, maxnumpt use globalvariables, only : time_old, + dt_t, calculategradient, numpt, numel, + ip_count, init_once, grad_init ! ! Use this instead of data statements time_old=0. dt_t=0. ! calculategradient=1 grad_init=0 ! ! Maximum number of elements and maximum number of integration points ! are defined in userinputs.f allocate(ip_count(maxnumel,maxnumpt)) ip_count=-1 ! ! Element number will be counted numpt=0 numel=0 ! ! flag for initialization once at the beginning init_once=0 ! return end subroutine initialize_variables ! ! ! ! ! ! Reading additional input files subroutine readfiles use userinputs, only: + voxfilename, foldername, readmaterialfile, + rsfilename, readresidualstrainfile use globalvariables, only: numel, numpt, + Euler, statev_Fr use utilities, only: vecmat9, inv3x3 integer :: i, iele, iquad real(8) :: dummy(8), dum1, dum2, det real(8) :: Fe0_vec(9), Fe0(3,3), Fr(3,3), detFr ! ! ! Read vox file if requested if (readmaterialfile==1) then ! Open the file open(200,file=foldername // '/' // voxfilename,action='read', + status='old') ! ! ! Number of lines is the same as the number of elements do i=1,numel ! dummy=0. read(200,*) dummy(1:8) ! ! Bunge angles in degrees Euler(i,1) = dummy(1) Euler(i,2) = dummy(2) Euler(i,3) = dummy(3) ! ! Test write if (i==1) then write(*,*) 'Testing reading of Job-1.vox file' write(*,*) 'iele', i write(*,*) 'Bunge (deg)', Euler(i,:) end if ! ! end do ! ! End of reading vox file close(200) ! end if ! ! ! ! ! ! ! Read residual strains if (readresidualstrainfile==1) then ! ! Open the file open(300,file=foldername // '/' // rsfilename,action='read', + status='old') ! ! total number of lines = ! number of elements x number of integtration points do i=1,numel*numpt ! ! dummy first read - Euler angles read(300,*) dum1, dum2, Fe0_vec(1:9) iele = int(dum1) iquad = int(dum2) ! ! calculate 3x3 deformation gradient call vecmat9(Fe0_vec,Fe0) ! !! invert to get the residual deformation ! call inv3x3(Fe0,Fr,detFr) ! ! Test write if (i==1) then write(*,*) 'Testing reading of resdef.dat file' write(*,*) 'iele', iele write(*,*) 'iquad', iquad write(*,*) 'Fe0_vec', Fe0_vec end if ! statev_Fr(iele,iquad,:,:)=Fe0 ! end do ! ! End of residual strain file close(300) ! end if ! ! ADD HERE IF THERE ARE ADDITIONAL INPUT FILES!!! ! ! return end subroutine readfiles ! ! ! ! ! ! Subroutines that need to run once at the beginning of calculations subroutine initialize_atfirstinc(noel,npt,coords,nprops, + props,temp,nstatv,ntens,stress) use userinputs, only: constanttemperature, temperature, + maxnslip, maxnparam, maxnmaterial, maxnloop, + backstressmodel, readmaterialfile use globalvariables, only: Euler, materialid, + featureid, phaseid, ipcoords, numdim, + statev_gmatinv, statev_gmatinv_t, ip_init, + numslip_all, numscrew_all, phaseid_all, + statev_tauc, statev_tauc_t, statev_gmatinv_0, + dirc_0_all, norc_0_all, + trac_0_all, linc_0_all, Schmidc_0_all, + forestproj_all, slip2screw_all, screw_all, + statev_ssd, statev_ssd_t, + statev_ssdtot, statev_ssdtot_t, + statev_forest, statev_forest_t, + statev_substructure, statev_substructure_t, + statev_tausolute, statev_tausolute_t, + statev_loop, statev_loop_t, + statev_tauceff, statev_gnd_0, + statev_sigma, statev_sigma_t, + caratio_all, cubicslip_all, + Cc_all, gf_all, G12_all, v12_all, + alphamat_all, burgerv_all, + slipmodel_all, slipparam_all, + creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, + irradiationmodel_all, irradiationparam_all, + sintmat1_all, sintmat2_all, + hintmat1_all, hintmat2_all, + backstressparam_all ! use irradiation, only: calculateintmats4irradmodel2 use usermaterials, only: materialparam use utilities, only: rotord4sig use crss, only: slipresistance, totalandforest use useroutputs, only: checkoutputs, + statev_outputs, nstatv_outputs use errors, only: error implicit none ! Element number integer, intent(in) :: noel ! Integration point integer, intent(in) :: npt ! Number of properties integer, intent(in) :: nprops ! Ip coordinates real(8), intent(in) :: coords(3) ! State variables real(8), intent(in) :: props(nprops) ! Abaqus temperature real(8), intent(in) :: temp ! Number of state variables integer, intent(in) :: nstatv ! Dimension of stress vector integer, intent(in) :: ntens ! Stress tensor real(8), intent(in) :: stress(ntens) ! ! Internal variables ! Flag for reading from PROPS vector integer readfromprops ! Crystal to sample transformation matrix real(8) :: gmatinv(3,3) ! Phase id integer :: phaid ! Number of slip systems integer :: nslip ! Number of screw systems integer :: nscrew ! Material id integer :: matid ! Slip model integer :: slipmodel ! Slip parameters real(8) :: slipparam(maxnparam) ! Creep model integer :: creepmodel ! Creep parameters real(8) :: creepparam(maxnparam) ! Hardening model integer :: hardeningmodel ! Hardening parameters real(8) :: hardeningparam(maxnparam) ! Irradiation model integer :: irradiationmodel ! Irradiation parameters real(8) :: irradiationparam(maxnparam) ! Backstress parameters real(8) :: backstressparam(maxnparam) ! Cubic slip for fcc nickel superalloys only integer :: cubicslip ! Material temperature real(8) :: mattemp ! c/a ratio for hexagonal materials real(8) :: caratio ! Crystal elasticity matrix real(8) :: Cc(6,6) ! Geometric factor real(8) :: gf ! Shear modulus real(8) :: G12 ! Poisson's ratio real(8) :: v12 ! Thermal expansion coefficient matrix in crystal lattice real(8) :: alphamat(3,3) ! Burgers vector real(8) :: burgerv(maxnslip) ! Screw systems integer :: screw(maxnslip) ! Initial critical resolved shear stress real(8) :: tauc_0(maxnslip) ! Initial dislocation density (SSD) real(8) :: rho_0(maxnslip) ! Sum of the initial density (SSD) real(8) :: rhosum_0 ! Initial forest density (hardening model-4) real(8) :: forest_0, for_0(maxnslip) ! Initial substructure density (hardening model-4) real(8) :: substructure_0 ! Interaction matrices ! Strength interaction between dislocations real(8) :: sintmat1(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8) :: sintmat2(maxnslip,maxnslip) ! Latent hardening real(8) :: hintmat1(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8) :: hintmat2(maxnslip,maxnslip) ! Allocatable arrays ! Slip direction real(8) :: dirc(maxnslip,3) ! Slip plane normal real(8) :: norc(maxnslip,3) ! Transverse direction real(8) :: trac(maxnslip,3) ! Slip line direction real(8) :: linc(maxnslip*2,3) ! Forest projection operator real(8) :: forestproj(maxnslip,maxnslip*2) ! Slip to screw system mapping real(8) :: slip2screw(maxnslip,maxnslip) ! initial Schmid tensor real(8) :: Schmidc_0(maxnslip,3,3) ! initial loop density real(8) :: loop_0(maxnloop) ! initial solute strength real(8) :: tausolute_0 ! initial GND density real(8) :: gnd_0(2*maxnslip) ! overall forest density real(8) :: rhofor_0(maxnslip) ! overall total density real(8) :: rhotot_0(maxnslip) ! overall cumulative density - scalar real(8) :: sumrhotot_0 ! Effective CRSS real(8) :: tauceff_0(maxnslip) ! Variables used in the calculations here within this subroutine ! Elasiticity real(8) :: C11, C12, C44, C13, C33 real(8) :: C23, C22, C55, C66 ! Thermal expansion real(8) :: alpha1, alpha2, alpha3 ! ! Dummy variables integer :: i, j, k, ind, is, nloop, dum integer :: i0, i1, i2 real(8) :: dir(3), nor(3) ! ! ! Reset arrays burgerv=0.; tauc_0=0.; rho_0=0.; forest_0=0.; substructure_0=0.; for_0=0. sintmat1=0.; sintmat2=0. hintmat1=0.; hintmat2=0. dirc=0.; norc=0.; trac=0.; linc=0. Schmidc_0=0. forestproj=0.; slip2screw=0.; screw=0 slipparam=0.;creepparam=0. hardeningparam=0.; irradiationparam=0. backstressparam = 0. ! loop_0=0.; tausolute_0=0. rhofor_0=0.; rhotot_0=0. sumrhotot_0=0.; gnd_0=0. tauceff_0=0. ! ! ! ! Calculation for only once (require NSTATV) ! This is done here because NSTATV is available in UMAT ! Can't be done at UEXTERNALDB(LOP=0) if (ip_init(1,1) == 0) then ! ! Check the number state variables defined in DEPVAR ! matches the outputs defined by the user (in useroutputs.f or in PROPS) call checkoutputs(nstatv) ! end if ! ! ! ! ! ! Initialization flag ip_init(noel,npt) = 1 ! ! Read integration point coordinates ! Assign and store at a global variable ipcoords(noel,npt,1:numdim) = coords(1:numdim) ! ! Read from PROPS readfromprops = int(props(6)) ! ! Material id matid = int(props(5)) ! ! Save material id materialid(noel,npt)=matid ! ! Save grain id featureid(noel,npt) = int(props(4)) ! ! Euler angles are read from PROPS ! IF the variable in userinputs.f was set as: "readmaterialfile=0" ! No entry from material file was selected if (readmaterialfile==0) then ! ! Initialize the ginv from Euler angles ! phi1: 1st on the property list Euler(noel,1)=props(1) ! Phi: 2nd on the property list Euler(noel,2)=props(2) ! phi2: 3rd on the property list Euler(noel,3)=props(3) ! end if ! ! ! ! ! write(*,*) 'noel', noel ! write(*,*) 'npt', npt ! write(*,*) 'matid', matid ! write(*,*) 'Euler', Euler ! ! ! ! ! ! ! Calculate inverse of the orientation matrix call initialize_orientations(Euler(noel,1:3),gmatinv) ! ! Assign the initial orientations statev_gmatinv(noel,npt,:,:)=gmatinv statev_gmatinv_t(noel,npt,:,:)=gmatinv statev_gmatinv_0(noel,npt,:,:)=gmatinv ! ! ! ! ! ! Decision on using ABAQUS temperature if (constanttemperature.eq.1) then ! ! ! Assign mattemp = temperature ! else if (constanttemperature.eq.0) then ! ! Use ABAQUS temperature (must be in K) mattemp = temp ! ! else ! Temperature flag is not assined correctly call error(5) ! endif ! ! ! If the properties are defined at "usermaterials.f" if (readfromprops==0) then ! ! Enter materials subroutine once for every ip to get number of slip systems call materialparam(matid,mattemp, + phaid,nslip,nscrew,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,burgerv, + tauc_0,rho_0,forest_0,substructure_0, + slipmodel,slipparam,creepmodel,creepparam, + hardeningmodel,hardeningparam, + irradiationmodel,irradiationparam, + sintmat1,sintmat2,hintmat1,hintmat2, + backstressparam) ! ! If material properies are defined in PROPS vector elseif (readfromprops==1) then ! ! Phase id indicates crystal structure phaid = int(props(7)) ! ! Number of slip systems nslip = int(props(8)) ! ! Number of screw systems nscrew = int(props(9)) ! ! cubic slip flag cubicslip = int(props(10)) ! ! geometric factor gf = props(11) ! ! Elastic constants C11 = props(12) C12 = props(13) C44 = props(14) ! ! Shear modulus G12 = C44 ! ! ! Poisson's ratio v12 = C12/(C11+C12) ! ! If cubic material - 3 constants if (phaid<3) then ! ! Elasticity matrix of a cubic material Cc = 0. Cc(1,1:3) = (/ C11, C12, C12 /) Cc(2,1:3) = (/ C12, C11, C12 /) Cc(3,1:3) = (/ C12, C12, C11 /) Cc(4,4) = C44 Cc(5,5) = C44 Cc(6,6) = C44 ! ! ! If hexagonal material - 5 constants elseif (phaid==3) then ! ! Read the remaning parameters C13 = props(15) C33 = props(16) ! ! Elasticity matrix of a hexagonal material Cc = 0. Cc(1,1:3) = (/ C11, C12, C13 /) Cc(2,1:3) = (/ C12, C11, C13 /) Cc(3,1:3) = (/ C13, C13, C33 /) Cc(4,4) = C44 Cc(5,5) = C44 Cc(6,6) = 0.5*(C11-C12) ! ! If tetragonal material - 9 constants elseif (phaid==4) then ! ! Read the remaning parameters C23 = props(17) C22 = props(18) C55 = props(19) C66 = props(20) ! ! Elasticity matrix of a ot material Cc = 0. Cc(1,1:3) = (/ C11, C12, C13 /) Cc(2,1:3) = (/ C12, C22, C23 /) Cc(3,1:3) = (/ C13, C23, C33 /) Cc(4,4) = C44 Cc(5,5) = C55 Cc(6,6) = C66 ! ! ! endif ! ! c/a ratio caratio = int(props(21)) ! ! ! Thermal expansion coefficients alpha1 = props(22) alpha2 = props(23) alpha3 = props(24) alphamat = 0. alphamat(1,1) = alpha1 alphamat(2,2) = alpha2 alphamat(3,3) = alpha3 ! ! ! Starting index for props i0 = 25 ! ! ! Slip model slipmodel = int(props(i0)) ! ! Slip model parameters do i = 1, maxnparam ! ind = i + i0 ! slipparam(i) = props(ind) ! end do ! ! Creep model creepmodel = int(props(i0+maxnparam+1)) ! ! Creep model parameters do i = 1, maxnparam ! ind = i + i0 + maxnparam+1 ! creepparam(i) = props(ind) ! ! end do ! ! ! Hardening model hardeningmodel = int(props(i0+2*(maxnparam+1))) ! ! Hardening model parameters do i = 1, maxnparam ! ind = i + i0+2*(maxnparam+1) ! hardeningparam(i) = props(ind) ! end do ! ! ! They are undefined for now - set to identity ! Interaction matrices ! Initially set all to identity sintmat1=0. sintmat2=0. hintmat1=0. hintmat2=0. do is = 1, maxnslip sintmat1(is,is)=1. sintmat2(is,is)=1. hintmat1(is,is)=1. hintmat2(is,is)=1. end do ! ! Define hardening matrix here based on the model! ! Hardening model-1 if (hardeningmodel==1) then ! Hardening interactions - latent hardening hintmat1 = hardeningparam(4) do k = 1, int(nslip/3.) do i = 1, 3 do j = 1, 3 hintmat1(3*(k-1)+i, 3*(k-1)+j)=1. enddo enddo enddo end if ! ! ! Irradiation model irradiationmodel = int(props(i0+3*(maxnparam+1))) ! ! ! Irradiation model parameters do i = 1, maxnparam ! ind = i + i0+3*(maxnparam+1) ! irradiationparam(i) = props(ind) ! end do ! ! ! Backstress parameters if (backstressmodel==1) then ! backstressparam(1) = props(ind+1) backstressparam(2) = props(ind+2) ! end if ! ! ! ! ! ! ! Overwrite user-defined outputs in useroutputs.f ! Reset number of state variables nstatv_outputs = 0 ! Reset the flags for outputs statev_outputs = 0 ! ! Reset starting index i1 = i0 + 5*maxnparam + 3 do i = 1, 30 ! ind = i + i1 ! dum = int(PROPS(ind)) ! statev_outputs(i) = dum ! ! Count the total number of outputs if (dum ==1) then nstatv_outputs = nstatv_outputs + 1 end if ! end do ! ! ! ! Assign slip system quantities ! Reset starting index i2 = i1 + 30 ! ! Initial dislocation density rho_0=0. do is = 1, maxnslip ! if (phaid.eq.1) then !bcc if (is.le.12) then ind = i2 + 1 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 2 elseif (is.gt.24) then ind = i2 + 3 end if elseif (phaid.eq.2) then !fcc if (is.le.12) then ind = i2 + 1 elseif (is.gt.12) then ind = i2 + 2 end if elseif (phaid.eq.3) then !hcp if (is.le.3) then ind = i2 + 1 elseif ((is.gt.3).and.(is.le.6)) then ind = i2 + 2 elseif ((is.gt.6).and.(is.le.12)) then ind = i2 + 3 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 4 elseif (is.gt.24) then ind = i2 + 5 end if end if ! ! rho_0(is) = props(ind) ! end do ! i2 = i2 + 6 ! ! Burgers vector burgerv=0. do is = 1, maxnslip ! if (phaid.eq.1) then !bcc if (is.le.12) then ind = i2 + 1 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 2 elseif (is.gt.24) then ind = i2 + 3 end if elseif (phaid.eq.2) then !fcc if (is.le.12) then ind = i2 + 1 elseif (is.gt.12) then ind = i2 + 2 end if elseif (phaid.eq.3) then if (is.le.3) then ind = i2 + 1 elseif ((is.gt.3).and.(is.le.6)) then ind = i2 + 2 elseif ((is.gt.6).and.(is.le.12)) then ind = i2 + 3 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 4 elseif (is.gt.24) then ind = i2 + 5 end if end if ! burgerv(is) = props(ind) ! end do ! i2 = i2 + 6 ! ! Initial critical resolved shear strength tauc_0=0. do is = 1, maxnslip ! if (phaid.eq.1) then !bcc if (is.le.12) then ind = i2 + 1 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 2 elseif (is.gt.24) then ind = i2 + 3 end if elseif (phaid.eq.2) then !fcc if (is.le.12) then ind = i2 + 1 elseif (is.gt.12) then ind = i2 + 2 end if elseif (phaid.eq.3) then if (is.le.3) then ind = i2 + 1 elseif ((is.gt.3).and.(is.le.6)) then ind = i2 + 2 elseif ((is.gt.6).and.(is.le.12)) then ind = i2 + 3 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 4 elseif (is.gt.24) then ind = i2 + 5 end if end if ! tauc_0(is) = props(ind) ! end do ! ! Initial forest dislocation density (hardening model-4) forest_0 = props(147) ! ! Initial substructure dislocation density (hardening model-4) substructure_0 = props(148) ! ! ! PROPS(149-175) are intentionally left empty! ! ! endif ! ! ! ! Initialize phase-id of the material phaseid_all(matid)=phaid ! ! ! Initialize number of slip systems numslip_all(matid)=nslip ! ! Initialize number of screw systems ! Required for GND calculations numscrew_all(matid)=nscrew ! ! ! Initialize crss statev_tauc(noel,npt,1:maxnslip)=tauc_0 statev_tauc_t(noel,npt,1:maxnslip)=tauc_0 ! ! Initialize ssd density per slip system statev_ssd(noel,npt,1:maxnslip)=rho_0 statev_ssd_t(noel,npt,1:maxnslip)=rho_0 ! ! Initialize total ssd density rhosum_0=sum(rho_0(1:nslip)) statev_ssdtot(noel,npt)=rhosum_0 statev_ssdtot_t(noel,npt)=rhosum_0 ! Initialize forest density per slip system for_0(1:nslip)=forest_0 statev_forest(noel,npt,1:maxnslip)=for_0 statev_forest_t(noel,npt,1:maxnslip)=for_0 ! ! Initialize total ssd density statev_substructure(noel,npt)=substructure_0 statev_substructure_t(noel,npt)=substructure_0 ! ! ! ! ! Initialize irradiation parameters if (irradiationmodel==1) then ! Initialize solute strength tausolute_0=irradiationparam(1) statev_tausolute(noel,npt)=tausolute_0 statev_tausolute_t(noel,npt)=tausolute_0 ! ! elseif (irradiationmodel==2) then ! Initialize defect loop density nloop=int(irradiationparam(1)) do i = 1, nloop loop_0(i)=irradiationparam(1+i)* + irradiationparam(1+nloop+i) statev_loop(noel,npt,i)=loop_0(i) statev_loop_t(noel,npt,i)=loop_0(i) end do ! end if ! ! ! Initialize caratio caratio_all(matid)=caratio ! ! ! Initialize cubicslip cubicslip_all(matid)=cubicslip ! ! Initialize elasticity in crystal frame Cc_all(matid,1:6,1:6)=Cc ! ! Initialize geometric factor gf_all(matid)=gf ! ! Initialize shear modulus G12_all(matid)=G12 ! Initialize Poisson's ratio v12_all(matid)=v12 ! ! Initialize thermal expansion matrix alphamat_all(matid,1:3,1:3)=alphamat ! ! Initialize burgers vector burgerv_all(matid,1:maxnslip)=burgerv ! ! ! ! assign the global variables ! ! slip model slipmodel_all(matid)=slipmodel ! slip parameters slipparam_all(matid,:)=slipparam ! creep model creepmodel_all(matid)=creepmodel ! creep parameters creepparam_all(matid,:)=creepparam ! hardening model hardeningmodel_all(matid)=hardeningmodel ! hardening parameters hardeningparam_all(matid,:)=hardeningparam ! irradiation model irradiationmodel_all(matid)=irradiationmodel ! irradiation parameters irradiationparam_all(matid,:)=irradiationparam ! ! ! backstress parameters backstressparam_all(matid,:)=backstressparam ! ! Initialize initial (undeformed) slip vectors ! This is needed once per element since the material is different call initialize_slipvectors(phaid,nslip,nscrew,caratio, + screw(1:nscrew),dirc(1:nslip,1:3),norc(1:nslip,1:3), + trac(1:nslip,1:3),linc(1:nslip+nscrew,1:3), + forestproj(1:nslip,1:nslip+nscrew), + slip2screw(1:nscrew,1:nslip)) ! ! ! Irradiation strength and hardening matrices are a function of slip vectors ! Therefore, the interaction matrices need to be computed here, ! after the calculation of slip vectors if (irradiationmodel==2) then call calculateintmats4irradmodel2(nslip,dirc,norc, + irradiationparam,sintmat2,hintmat2) end if ! ! ! assign the interaction matrices ! Strength interaction between dislocations sintmat1_all(matid,:,:) = sintmat1 ! Strength interaction dislocation loops related with irradiation sintmat2_all(matid,:,:) = sintmat2 ! Latent hardening hintmat1_all(matid,:,:) = hintmat1 ! Hardening interaction matrix between dislocations hintmat2_all(matid,:,:) = hintmat2 ! ! ! ! ! ! ! assign undeformed slip directions dirc_0_all(matid,1:nslip,1:3) = dirc(1:nslip,1:3) norc_0_all(matid,1:nslip,1:3) = norc(1:nslip,1:3) trac_0_all(matid,1:nslip,1:3) = trac(1:nslip,1:3) linc_0_all(matid,1:nslip+nscrew,1:3) = linc(1:nslip+nscrew,1:3) ! ! Forest projection operator forestproj_all(matid,1:nslip,1:nslip+nscrew) = + forestproj(1:nslip,1:nslip+nscrew) ! ! ! Slip to screw mapping slip2screw_all(matid,1:nscrew,1:nslip) = + slip2screw(1:nscrew,1:nslip) ! ! ! Screw systems screw_all(matid,1:nscrew)=screw(1:nscrew) ! ! Initialize Schmid tensor (needed for the calculation of Lp) Schmidc_0=0. do is=1,nslip ! do i=1,3 do j=1,3 Schmidc_0(is,i,j) = dirc(is,i)*norc(is,j) enddo enddo ! end do ! ! Assign undeformed Schmid tensor Schmidc_0_all(matid,1:nslip,:,:) = Schmidc_0(1:nslip,:,:) ! ! ! Initial GND density (may or may not be present!) gnd_0=statev_gnd_0(noel,npt,:) ! ! Calculate initial total and forest density call totalandforest( + phaid, nscrew, nslip, + gnd_0(1:nslip+nscrew), rho_0(1:nslip), rhosum_0, + for_0(1:nslip), forestproj(1:nslip,1:nslip+nscrew), + slip2screw(1:nscrew,1:nslip), + rhotot_0(1:nslip), sumrhotot_0, rhofor_0(1:nslip)) ! ! ! ! Calculate crss call slipresistance(phaid, nslip, gf, G12, + burgerv(1:nslip), sintmat1(1:nslip,1:nslip), + sintmat2(1:nslip,1:nslip), tauc_0(1:nslip), + rhotot_0, sumrhotot_0, rhofor_0(1:nslip), + substructure_0, tausolute_0, loop_0(1:maxnloop), + hardeningmodel, hardeningparam, + irradiationmodel, irradiationparam, + mattemp, tauceff_0(1:nslip)) ! ! statev_tauceff(noel,npt,1:maxnslip)=tauceff_0 ! ! initialize stress ! 3D if (ntens==6) then statev_sigma(noel,npt,1:6)=stress ! 2D-plane strain elseif (ntens==4) then statev_sigma(noel,npt,1:4)=stress ! 2D-plane stress elseif (ntens==3) then statev_sigma(noel,npt,1:2)=stress(1:2) statev_sigma(noel,npt,4)=stress(3) end if ! ! ! ! return end subroutine initialize_atfirstinc ! ! ! ! Arrays allocated subroutine allocate_arrays use globalvariables, only : numel, numpt, numdim, + Euler, materialid, featureid, phaseid, + phaseid_all, numslip_all, numscrew_all, + dirc_0_all, norc_0_all, trac_0_all, linc_0_all, + forestproj_all, slip2screw_all, screw_all, + ip_init, gradip2ip, ipcoords, ipdomain, + statev_sigma_t2, statev_gmatinv, statev_gmatinv_t, + statev_gmatinv_0, statev_gammasum, statev_gammasum_t, + statev_jacobi, statev_jacobi_t, statev_Fth, statev_Fth_t, + statev_gammadot, statev_gammadot_t, statev_Fp, statev_Fp_t, + statev_sigma, statev_sigma_t, statev_tauc, statev_tauc_t, + statev_maxx, statev_maxx_t, statev_Eec, statev_Eec_t, + statev_gnd, statev_gnd_t, statev_ssd, statev_ssd_t, + statev_forest, statev_forest_t, statev_substructure, + statev_substructure_t, statev_tausolute, statev_tausolute_t, + statev_totgammasum, statev_totgammasum_t, + statev_evmp, statev_evmp_t, statev_ssdtot, statev_ssdtot_t, + statev_Lambda, statev_Lambda_t, statev_curvature, + statev_loop, statev_loop_t, statev_gnd_0, + caratio_all, cubicslip_all, Cc_all, gf_all, + G12_all, v12_all, alphamat_all, burgerv_all, + slipmodel_all, slipparam_all, Schmidc_0_all, + creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, + irradiationmodel_all, irradiationparam_all, + sintmat1_all, sintmat2_all, + hintmat1_all, hintmat2_all, + backstressparam_all, statev_backstress_t, + statev_backstress, statev_plasdiss_t, + statev_plasdiss, statev_tauceff, statev_Fr ! use userinputs, only : maxnslip, maxnparam, + maxnmaterial, maxnloop implicit none integer i, j, k ! ! ! Can be different for each element allocate(Euler(numel,3)) Euler=0. ! ! For multiple grains allocate(featureid(numel,numpt)) featureid=0 ! ! For multi materials allocate(materialid(numel,numpt)) materialid=0 ! ! For multi phases allocate(phaseid(numel,numpt)) phaseid=0 ! ! Initial crystal to sample transformation ! ! For multi material case with varying number of slip systems allocate(numslip_all(maxnmaterial)) numslip_all=0 ! ! For multi material case with varying number of screw systems allocate(numscrew_all(maxnmaterial)) numscrew_all=0 ! ! Screw systems allocate(screw_all(maxnmaterial,maxnslip)) screw_all=0 ! ! ! For multi material case with varying number of slip systems allocate(phaseid_all(maxnmaterial)) phaseid_all=0 phaseid_all=0 ! ! Allocate slip systems allocate(dirc_0_all(maxnmaterial,maxnslip,3)) dirc_0_all=0. allocate(norc_0_all(maxnmaterial,maxnslip,3)) norc_0_all=0. allocate(trac_0_all(maxnmaterial,maxnslip,3)) trac_0_all=0. allocate(linc_0_all(maxnmaterial,2*maxnslip,3)) linc_0_all=0. ! Allocate initial Schmid tensor allocate(Schmidc_0_all(maxnmaterial,maxnslip,3,3)) Schmidc_0_all=0. ! ! Forest projections for GND allocate(forestproj_all(maxnmaterial,maxnslip,maxnslip*2)) forestproj_all=0. ! ! Mapping for dislocations at slip sytems to screw systems for GND allocate(slip2screw_all(maxnmaterial,maxnslip,maxnslip)) slip2screw_all=0. ! ! IP domain size (area/volume) allocate(ipdomain(numel,numpt)) ipdomain=0. ! ! ! These are needed for GND calculations allocate(ipcoords(numel,numpt,numdim)) ipcoords=0. allocate(ip_init(numel,numpt)) ip_init=0 ! very important to set to zero initially ! ! Allocate arrays related with shape functions ! Note the gradient is 3-dimensional ("numdim" is not used!) allocate(gradip2ip(numel,numpt+1,3,numpt)) gradip2ip=0. ! ! ! Allocate state variables allocate(statev_gmatinv(numel,numpt,3,3)) statev_gmatinv=0. allocate(statev_gmatinv_t(numel,numpt,3,3)) statev_gmatinv_t=0. allocate(statev_gmatinv_0(numel,numpt,3,3)) statev_gmatinv_0=0. ! do i=1,numel do j=1,numpt do k=1,3 statev_gmatinv(i,j,k,k)=1. statev_gmatinv_t(i,j,k,k)=1. statev_gmatinv_0(i,j,k,k)=1. end do end do end do ! allocate(statev_gammasum(numel,numpt,maxnslip)) statev_gammasum=0. allocate(statev_gammasum_t(numel,numpt,maxnslip)) statev_gammasum_t=0. allocate(statev_gammadot(numel,numpt,maxnslip)) statev_gammadot=0. allocate(statev_gammadot_t(numel,numpt,maxnslip)) statev_gammadot_t=0. allocate(statev_Fp(numel,numpt,3,3)) statev_Fp=0. allocate(statev_Fp_t(numel,numpt,3,3)) statev_Fp_t=0. allocate(statev_Fth(numel,numpt,3,3)) statev_Fth=0. allocate(statev_Fth_t(numel,numpt,3,3)) statev_Fth_t=0. allocate(statev_Fr(numel,numpt,3,3)) statev_Fr=0. ! do i=1,numel do j=1,numpt do k=1,3 statev_Fp(i,j,k,k)=1. statev_Fp_t(i,j,k,k)=1. statev_Fth(i,j,k,k)=1. statev_Fth_t(i,j,k,k)=1. statev_Fr(i,j,k,k)=1. end do end do enddo ! allocate(statev_sigma(numel,numpt,6)) statev_sigma=0. allocate(statev_sigma_t(numel,numpt,6)) statev_sigma_t=0. allocate(statev_sigma_t2(numel,numpt,6)) statev_sigma_t2=0. allocate(statev_jacobi(numel,numpt,6,6)) statev_jacobi=0. allocate(statev_jacobi_t(numel,numpt,6,6)) statev_jacobi_t=0. ! do i=1,numel do j=1,numpt do k=1,6 statev_jacobi(i,j,k,k)=1. statev_jacobi_t(i,j,k,k)=1. end do end do enddo ! allocate(statev_tauc(numel,numpt,maxnslip)) statev_tauc=0. allocate(statev_tauc_t(numel,numpt,maxnslip)) statev_tauc_t=0. ! allocate(statev_tauceff(numel,numpt,maxnslip)) statev_tauceff=0. ! allocate(statev_maxx(numel,numpt)) statev_maxx=0. allocate(statev_maxx_t(numel,numpt)) statev_maxx_t=0. allocate(statev_Eec(numel,numpt,6)) statev_Eec=0. allocate(statev_Eec_t(numel,numpt,6)) statev_Eec_t=0. ! ! Incompatibility allocate(statev_Lambda(numel,numpt,9)) statev_Lambda = 0. allocate(statev_Lambda_t(numel,numpt,9)) statev_Lambda_t = 0. ! Lattice curvature allocate(statev_curvature(numel,numpt,9)) statev_curvature = 0. ! ! Allocated as twice the maxslip to leave space for screws allocate(statev_gnd(numel,numpt,2*maxnslip)) statev_gnd=0. allocate(statev_gnd_t(numel,numpt,2*maxnslip)) statev_gnd_t=0. allocate(statev_gnd_0(numel,numpt,2*maxnslip)) statev_gnd_0=0. allocate(statev_ssd(numel,numpt,maxnslip)) statev_ssd=0. allocate(statev_ssd_t(numel,numpt,maxnslip)) statev_ssd_t=0. allocate(statev_ssdtot(numel,numpt)) statev_ssdtot=0. allocate(statev_ssdtot_t(numel,numpt)) statev_ssdtot_t=0. allocate(statev_forest(numel,numpt,maxnslip)) statev_forest=0. allocate(statev_forest_t(numel,numpt,maxnslip)) statev_forest_t=0. allocate(statev_substructure(numel,numpt)) statev_substructure=0. allocate(statev_substructure_t(numel,numpt)) statev_substructure_t=0. allocate(statev_tausolute(numel,numpt)) statev_tausolute=0. allocate(statev_tausolute_t(numel,numpt)) statev_tausolute_t=0. allocate(statev_totgammasum(numel,numpt)) statev_totgammasum=0. allocate(statev_totgammasum_t(numel,numpt)) statev_totgammasum_t=0. allocate(statev_evmp(numel,numpt)) statev_evmp=0. allocate(statev_evmp_t(numel,numpt)) statev_evmp_t=0. ! allocate(statev_plasdiss(numel,numpt)) statev_plasdiss=0. allocate(statev_plasdiss_t(numel,numpt)) statev_plasdiss_t=0. ! ! allocate as sparse array allocate(statev_loop(numel,numpt,maxnloop)) statev_loop=0. allocate(statev_loop_t(numel,numpt,maxnloop)) statev_loop_t=0. ! allocate(statev_backstress(numel,numpt,maxnslip)) statev_backstress=0. allocate(statev_backstress_t(numel,numpt,maxnslip)) statev_backstress_t=0. ! ! Material parameters allocate(caratio_all(maxnmaterial)) caratio_all=0. allocate(cubicslip_all(maxnmaterial)) cubicslip_all=0 allocate(Cc_all(maxnmaterial,6,6)) Cc_all=0. allocate(gf_all(maxnmaterial)) gf_all=0. allocate(G12_all(maxnmaterial)) G12_all=0. allocate(v12_all(maxnmaterial)) v12_all=0. allocate(alphamat_all(maxnmaterial,3,3)) alphamat_all=0. allocate(burgerv_all(maxnmaterial,maxnslip)) burgerv_all=0. ! ! ! Material model parameters allocate(slipmodel_all(maxnmaterial)) slipmodel_all=0 allocate(slipparam_all(maxnmaterial,maxnparam)) slipparam_all=0. allocate(creepmodel_all(maxnmaterial)) creepmodel_all=0 allocate(creepparam_all(maxnmaterial,maxnparam)) creepparam_all=0. allocate(hardeningmodel_all(maxnmaterial)) hardeningmodel_all=0 allocate(hardeningparam_all(maxnmaterial,maxnparam)) hardeningparam_all=0. allocate(irradiationmodel_all(maxnmaterial)) irradiationmodel_all=0 allocate(irradiationparam_all(maxnmaterial,maxnparam)) irradiationparam_all=0. ! allocate(backstressparam_all(maxnmaterial,maxnparam)) backstressparam_all=0. ! ! Interaction matrices allocate(sintmat1_all(maxnmaterial,maxnslip,maxnslip)) sintmat1_all=0. allocate(sintmat2_all(maxnmaterial,maxnslip,maxnslip)) sintmat2_all=0. allocate(hintmat1_all(maxnmaterial,maxnslip,maxnslip)) hintmat1_all=0. allocate(hintmat2_all(maxnmaterial,maxnslip,maxnslip)) hintmat2_all=0. ! ! ! return end subroutine allocate_arrays ! ! ! ! ! ! ! ! ! ! ! ! ! This subroutine assigns identity tensors ! USES: I3(3,3),I6(6,6),I9(9,9),eijk(3,3,3) subroutine initialize_identity use globalvariables, only : I3, I6, I9, eijk implicit none integer :: i, j, k, l ! I3=0. I6=0. I9=0. ! ! Identity matrix (3x3) do i=1,3 I3(i,i)=1. enddo ! ! ! Identity matrix (6x6) do i=1,6 I6(i,i)=1. enddo ! ! Identity matrix (9x9) do i=1,9 I9(i,i)=1. enddo ! ! ! Permutation symbol (3x3x3) eijk=0. eijk(1,2,3)=1. eijk(2,3,1)=1. eijk(3,1,2)=1. eijk(3,2,1)=-1. eijk(2,1,3)=-1. eijk(1,3,2)=-1. ! return end subroutine initialize_identity ! ! ! This subroutine assigns orientations subroutine initialize_orientations(Euler,gmatinv) use utilities, only: Euler2ori implicit none real(8), intent(in) :: Euler(3) real(8), intent(out) :: gmatinv(3,3) real(8) :: g(3,3) ! ! ! Sample to crystal transformation call Euler2ori(Euler,g) ! ! ! Crystal to sample tranformation gmatinv = transpose(g) ! ! return end subroutine initialize_orientations ! ! ! All slip systems of different phases are initialized ! 1: BCC ! 2: FCC ! 3: HCP ! 4: alpha-uranium ! Forest projections are initialized here! ! The number of slip systems will be identified in materials card ! Slip directions subroutine initialize_slipvectors(phaid,nslip,nscrew,caratio, + screw,dirc,norc,trac,linc,forestproj,slip2screw) use userinputs, only : maxnslip use globalvariables, only : dir1, nor1, dir2, nor2, + dir3h, nor3h, dir4, nor4 use utilities, only: vecprod use errors, only: error implicit none ! Inputs integer, intent(in) :: phaid, nslip, nscrew real(8), intent(in) :: caratio ! Outputs real(8), dimension(nslip,3), intent(out) :: dirc real(8), dimension(nslip,3), intent(out) :: norc real(8), dimension(nslip,3), intent(out) :: trac real(8), dimension(nslip+nscrew,3), intent(out) :: linc real(8), dimension(nslip,nslip+nscrew), intent(out) :: forestproj real(8), dimension(nscrew,nslip), intent(out) :: slip2screw integer, dimension(nscrew), intent(out) :: screw ! ! Local variables used within this subroutine real(8) :: dir(48,3), nor(48,3) real(8) :: sdir(nslip+nscrew,3) real(8) :: res integer :: is, i, j ! ! caratio (c/a) ratio is only used for HCP materials ! So, caratio can take any value for other phases than HCP ! ! Reset arrays dirc=0.; norc=0. dir=0.; nor=0. ! ! BCC phase if (phaid == 1) then ! ! ! ! Normalize slip directions and normals do is=1, 48 dir(is,:) = dir1(is,:)/norm2(dir1(is,:)) ! nor(is,:) = nor1(is,:)/norm2(nor1(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! FCC phase elseif (phaid == 2) then ! ! ! ! ! Normalize slip directions and normals do is=1,18 dir(is,:) = dir2(is,:)/norm2(dir2(is,:)) ! nor(is,:) = nor2(is,:)/norm2(nor2(is,:)) end do ! ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! ! ! ! ! HCP phase elseif (phaid == 3) then ! ! slip direction conversion ! [uvtw]->[3u/2 (u+2v)*sqrt(3)/2 w*(c/a)]) do is=1,30 dir(is,1) = 3.*dir3h(is,1)/2. dir(is,2) = (dir3h(is,1) + 2.*dir3h(is,2))*sqrt(3.)/2. dir(is,3) = dir3h(is,4)*caratio end do ! ! ! slip plane conversion ! (hkil)->(h (h+2k)/sqrt(3) l/(c/a)) do is=1,30 nor(is,1) = nor3h(is,1) nor(is,2) = (nor3h(is,1) + 2.*nor3h(is,2))/sqrt(3.) nor(is,3) = nor3h(is,4)/caratio end do ! ! Normalize slip directions and normals do is=1,30 dir(is,:) = dir(is,:)/norm2(dir(is,:)) ! nor(is,:) = nor(is,:)/norm2(nor(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! ! alpha-Uranium elseif (phaid == 4) then ! ! Normalize slip directions and normals do is=1,8 dir(is,:) = dir4(is,:)/norm2(dir4(is,:)) ! nor(is,:) = nor4(is,:)/norm2(nor4(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! else ! ! Error message needed! ! Phase number is not within the available options call error(4) ! ! ! end if ! ! ! Transverse directions trac = 0. do i = 1, nslip ! call vecprod(dirc(i,1:3),norc(i,1:3),trac(i,1:3)) ! end do ! ! ! ! Dislocation line directions: ! ! If screw systems are defined if (nscrew>0) then ! ! ! Build up the screw slip systems select case(phaid) ! ! ! ! BCC case(1) ! ! a/2<111> screw(1) = 1 screw(2) = 2 screw(3) = 3 screw(4) = 6 ! ! ! FCC case(2) ! screw(1) = 1 screw(2) = 2 screw(3) = 3 screw(4) = 4 screw(5) = 6 screw(6) = 8 ! ! ! ! HCP case(3) ! ! slip screw(1) = 1 screw(2) = 2 screw(3) = 3 ! screw(4) = 7 screw(5) = 8 screw(6) = 9 screw(7) = 10 screw(8) = 11 screw(9) = 12 ! ! ! ! end select ! end if ! ! ! ! slip2screw mapping slip2screw = 0. ! Loop through the defined screw systems for equivalency do i = 1, nscrew ! ! Screw system corresponding slip system is = screw(i) ! ! Set the mapping to 1/2 slip2screw(i,is) = 0.5 ! ! Loop through all possible slip sytems do j = 1, nslip ! ! Caclulate the difference in Burgers vector res = dot_product(dirc(is,1:3),dirc(j,1:3)) ! ! If all the components of the vector is the same if (abs(res)>0.99) then ! ! Assign the component of mapping as 1/2 slip2screw(i,j) = 0.5 ! ! end if ! ! Loop for slip sytems end do ! ! ! Loop for screw systems end do ! ! ! ! ! ! ! Calculate line directions for edge dislocations linc = 0. do i = 1, nslip ! call vecprod(dirc(i,1:3),norc(i,1:3),linc(i,1:3)) ! end do ! ! Calculate line directions for screw dislocations ! If screw dislocations exist if (nscrew>0) then ! do i = 1, nscrew ! linc(nslip+i,1:3) = dirc(screw(i),1:3) ! end do ! end if ! ! ! Compute forest projection operator for GNDs forestproj = 0. do i = 1, nslip ! do j = 1, nslip+nscrew ! forestproj(i,j) = + abs(dot_product(norc(i,1:3),linc(j,1:3))) ! enddo ! enddo ! ! ! ! ! ! ! ! return end subroutine initialize_slipvectors ! ! ! ! end module initializations ================================================ FILE: Example - Residual deformation/innerloop.f ================================================ module innerloop implicit none contains ! ! subroutine Dunne_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! use globalvariables, only : I6 ! use userinputs, only : maxniter, tolerance, + maxnparam, maxnloop, SVDinversion, maxnslip ! use utilities, only : matvec6, + nolapinverse, SVDinverse ! use slip, only : sinhslip, doubleexpslip, + powerslip ! use creep, only : expcreep ! use errors, only : error ! implicit none ! ! INPUTS ! ! Initial Schmid tensor real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! creep model no. integer, intent(in) :: creepmodel ! creep model parameters real(8), intent(in) :: creepparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! ! time increment real(8), intent(in) :: dt ! trial stress real(8), intent(in) :: sigmatr(6) ! overall crss real(8), intent(in) :: tauceff(nslip) ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! total slip per slip system accumulated over the time ! at the current time step real(8), intent(in) :: gammasum(nslip) ! ! INOUTS ! Cauchy stress real(8), intent(inout) :: sigma(6) ! overall crss real(8), intent(inout) :: tau(nslip) ! convergence flag integer, intent(inout) :: cpconv ! ! OUTPUTS ! slip rates at the current time step real(8), intent(out) :: gammadot(nslip) ! plastic velocity gradient real(8), intent(out) :: Lp(3,3) ! Total deformation rate real(8), intent(out) :: Dp(3,3) ! Total deformation rate real(8), intent(out) :: dstranp33(3,3) ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8), intent(out) :: invdpsi_dsigma(6,6) ! number of iterations integer, intent(out) :: iter ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3) ! plastic velocity gradient for creep real(8) Lp_c(3,3) ! Sym part of plastic velocity gradient for slip real(8) Dp_s(3,3) ! Sym part of plastic velocity gradient for creep real(8) Dp_c(3,3) ! plastic tangent stiffness for slip real(8) Pmat_s(6,6) ! plastic tangent stiffness for creep real(8) Pmat_c(6,6) ! tangent matrix for NR iteration real(8) Pmat(6,6) ! slip rates for slip real(8) gammadot_s(nslip) ! slip rates for creep real(8) gammadot_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtau_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtau_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtauc_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtauc_c(nslip) ! ! plastic strain increment real(8) :: dstranp(6) ! ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8) :: dpsi_dsigma(6,6) ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psi(6) ! ! ! ! stress increment real(8) :: dsigma(6) ! ! error flag for svd inversion integer :: err ! integer :: is ! ! Reset variables for the inner iteration psinorm = 1. iter = 0 ! ! ! Newton-Raphson (NR) iteration to find stress increment do while ((psinorm >= tolerance) +.and.(iter < maxniter).and.(cpconv == 1)) ! ! ! Slip models to find slip rates ! ! none if (slipmodel == 0) then ! Lp_s = 0. Dp_s = 0. Pmat_s = 0. gammadot_s = 0. ! ! ! sinh law elseif (slipmodel == 1) then ! call sinhslip(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,rhofor,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s,Dp_s,Pmat_s, + gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! ! exponential law elseif (slipmodel == 2) then ! ! call doubleexpslip(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,burgerv,dt,nslip,phaid, + mattemp,slipparam,irradiationmodel, + irradiationparam,cubicslip,caratio, + Lp_s,Dp_s,Pmat_s,gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! ! power law elseif (slipmodel == 3) then ! ! call powerslip(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s,Dp_s,Pmat_s, + gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! end if ! ! ! ! Slip due to creep if (creepmodel == 0) then ! ! Lp_c = 0. Dp_c = 0. Pmat_c = 0. gammadot_c = 0. ! ! elseif (creepmodel == 1) then ! ! ! call expcreep(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,dt,nslip,phaid, + mattemp,creepparam,gammasum,Lp_c,Dp_c,Pmat_c, + gammadot_c,dgammadot_dtau_c, + dgammadot_dtauc_c) ! ! ! ! endif ! ! ! Sum the effects of creep and slip rates Lp = Lp_s + Lp_c Dp = Dp_s + Dp_c Pmat = Pmat_s + Pmat_c gammadot = gammadot_s + gammadot_c ! ! ! ! Check for NaN in the slip rates if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 return endif ! ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 return endif ! ! Check for the Pmat if(any(Pmat /= Pmat)) then ! did not converge cpconv = 0 return endif ! ! ! ! Plastic strain increment dstranp33 = Dp*dt call matvec6(dstranp33,dstranp) dstranp(4:6)=2.*dstranp(4:6) ! ! ! ! ! Tangent-stiffness calculation ! Jacobian of the Newton loop (see Dunne, Rugg, Walker, 2007) dpsi_dsigma = I6 + matmul(Cs, Pmat) ! ! ! ! Invert (double precision version) call nolapinverse(dpsi_dsigma,invdpsi_dsigma,6) ! ! ! If inversion is not successfull! ! Check for the inverse if(any(invdpsi_dsigma /= invdpsi_dsigma)) then ! ! Try using singular value decomposition ! If singular value decomposition is ON if (SVDinversion==1) then ! ! Invert call SVDinverse(dpsi_dsigma,6,invdpsi_dsigma,err) ! ! ! else ! ! ! did not converge err = 1 ! ! ! end if ! ! Check again and if still not successfull if(err==1) then ! did not converge cpconv = 0 return end if ! ! endif ! ! ! ! residual (predictor - corrector scheme) psi = sigmatr - sigma - matmul(Cs,dstranp) ! ! norm of the residual psinorm = sqrt(sum(psi*psi)) ! ! ! stress increment dsigma = matmul(invdpsi_dsigma,psi) ! ! ! stress update sigma = sigma + dsigma ! ! ! ! calculate resolved shear stress on slip systems ! rss and its sign do is = 1, nslip tau(is) = dot_product(Schmidvec(is,:),sigma) end do ! ! ! increment iteration no. iter = iter + 1 ! ! End of NR iteration (inner loop) end do ! ! ! ! ! return end subroutine Dunne_innerloop ! ! ! ! ! ! ! ! ! This subroutine is written by Chris Hardie (11/10/2023) ! Explicit state update rule ! Solution using state variables at the former time step subroutine Hardie_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + irradiationmodel, + irradiationparam, + dt,sigmatr, + abstautr,signtautr, + tauceff,rhofor,X, + sigma,iterinverse) ! use globalvariables, only : I3, I6, smallnum ! use userinputs, only : maxniter, maxnparam, maxnslip, + inversetolerance ! use utilities, only : matvec6, gmatvec6 ! use slipreverse, only : sinhslipreverse, powerslipreverse, + doubleexpslipreverse ! ! implicit none ! ! ! INPUTS ! ! Initial Schmid tensor real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! ! time increment real(8), intent(in) :: dt ! trial stress real(8), intent(in) :: sigmatr(6) ! absolute value of trial RSS real(8), intent(in) :: abstautr(nslip) ! sign of trial RSS real(8), intent(in) :: signtautr(nslip) ! overall crss real(8), intent(in) :: tauceff(nslip) ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! ! OUTPUTS ! Cauchy stress real(8), intent(out) :: sigma(6) ! Number of iterations integer, intent(out) :: iterinverse ! ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3) ! slip rates for slip real(8) gammadot_s(nslip) ! absolute slip rates real(8) absgammadot_s(nslip) ! sign of gammadot_s real(8) signgammadot_s(nslip) ! derivative of rss wrt slip rates for slip real(8) dtau_dgammadot_s(nslip,nslip) ! derrivative of error function real(8) dpsi_dgammadot(nslip,nslip) ! inverse of derivative above real(8) dpsi_dgammadotinv(nslip,nslip) ! slip correction real(8) dgammadot(nslip) ! Derivative of slip law in forward direction real(8) :: dgammadot_dtau(nslip) ! rss at the former time step real(8) :: tau(nslip), tau_e(nslip) ! absolute value of rss at the former time step real(8) :: abstau(nslip) ! sign of rss at the former time step real(8) :: signtau(nslip) ! ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psinorm2, psi(nslip) ! ! Forward Jacobian real(8) :: Pmat(6,6) real(8) :: dpsi_dsigma(6,6) ! LU decomposition matricies for calculation of determinant ! real(8), allocatable :: l(:,:), u(:,:) ! integer, allocatable :: p(:,:) ! ! plastic strain increment real(8) :: plasstraininc33(3,3), plasstraininc(6) real(8) :: plasstrainrate(3,3) ! ! Shear Stiffness Matrix real(8) :: G(nslip,nslip) ! ! other variables real(8) :: dummy6(6), damping, iter_max, activesum integer :: is ! ! allocate(dpsi_dsigma(6,6),l(6,6),u(6,6),p(6,6)) ! ! ! Reset variables for iteration iter_max=10000.0 iterinverse = 0 psinorm = 1.0d+200 psinorm2 = 1.0d+200 ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigmatr abstau = abstautr signtau =signtautr tau_e = abstau*signtau gammadot_s=0. absgammadot_s=0. Lp_s=0. ! ! Build Shear stiffness matrix ! G = 0. do is = 1, nslip dummy6 = matmul(Cs, Schmidvec(is,:)) G(is,is) = dot_product(Schmidvec(is,:), dummy6) end do ! ! Newton-Raphson (NR) iteration to find stress increment do while ((psinorm >= inversetolerance))! .OR. (psinorm2 >= tol2))!((psinorm >= tol)) !((psinorm >= tol) .AND. (psinorm2 >= tol2)) ! ! increment iteration no. iterinverse = iterinverse + 1 ! ! Slip models to find slip rates ! ! none if (slipmodel == 0) then ! gammadot_s = 0. ! ! sinh law elseif (slipmodel == 1) then ! call sinhslipreverse( + Schmid,SchmidxSchmid,signtau, + abstau,tau,X,tauceff,rhofor,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s, + absgammadot_s, gammadot_s, + dtau_dgammadot_s, dgammadot_dtau,Pmat) ! ! ! ! double exponent law (exponential law) elseif (slipmodel == 2) then ! ! call doubleexpslipreverse( + Schmid,SchmidxSchmid, + tau,X,abstau,signtau,tauceff, + burgerv,dt,nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp_s,Pmat,absgammadot_s,gammadot_s, + dtau_dgammadot_s,dgammadot_dtau) ! ! ! power law elseif (slipmodel == 3) then ! ! call powerslipreverse( + Schmid,SchmidxSchmid, + tau,X,abstau,signtau,tauceff, + burgerv,dt,nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp_s,absgammadot_s, gammadot_s,dtau_dgammadot_s, + dgammadot_dtau, Pmat) ! ! end if ! ! calculate resolved shear stress on slip systems ! rss and its sign activesum=0 do is = 1, nslip tau(is) = signtau(is)*abstau(is) if (abstau(is) .GE. tauceff(is)) then activesum=activesum+1.0 end if end do ! ! residual (predictor - corrector) including backstress psi = tau - X - tau_e ! ! norm of the residual psinorm2 = sqrt(sum(psi*psi)) ! ! Forward Jacobian dgammadot_dtau=abs(dgammadot_dtau)*dt psinorm = maxval(dgammadot_dtau) ! ! ! CALL LU_DECOMP(dpsi_dsigma, p, l, u) ! ! ! ! dpsi_dgammadot ! dpsi_dgammadot = dtau_dgammadot_s + G*dt ! ! Invert diagonal matrix dpsi_dgammadotinv=0. do is = 1, nslip dpsi_dgammadotinv(is,is)=1/dpsi_dgammadot(is,is) end do ! ! damping=min(2.0/activesum, 1.0)!0.5) ! damping = 0.5 ! if (psinorm > 200.0) then ! damping=min(2.0/activesum, 0.5) ! end if ! ! slip increment dgammadot = matmul(dpsi_dgammadotinv,psi) ! gammadot_s = gammadot_s-damping*dgammadot ! ! ! Calculate Plastic Strain Lp_s=0.; plasstrainrate=0. do is = 1, nslip Lp_s = Lp_s + gammadot_s(is)*Schmid_0(is,:,:) plasstrainrate = plasstrainrate + + gammadot_s(is)*Schmid(is,:,:) absgammadot_s(is) = abs(gammadot_s(is)) signgammadot_s(is)= sign(1.0,gammadot_s(is)) end do ! ! plastic strain rate plasstrainrate = (plasstrainrate + + transpose(plasstrainrate))/2. ! ! ! Plastic strain increment plasstraininc33 = plasstrainrate*dt call matvec6(plasstraininc33,plasstraininc) plasstraininc(4:6)=2.*plasstraininc(4:6) call gmatvec6(plasstraininc33,plasstraininc) ! ! Calculate rss following plastic relaxation ! sigma=sigmatr-matmul(Cs,plasstraininc) ! ! calculate resolved shear stress on slip systems ! rss and its sign do is = 1, nslip tau_e(is) = dot_product(Schmidvec(is,:),sigma) tau(is) = tau_e(is) signtau(is) = sign(1.0,tau(is)) abstau(is) = abs(tau(is)) end do ! ! check if slip is changing direction do is = 1, nslip if (signgammadot_s(is) /= signtau(is)) then gammadot_s(is)=0.0 absgammadot_s(is)=0.0 end if end do ! if (iterinverse > iter_max) then psinorm=1e-10 psinorm2=1e-10 end if ! ! End of NR iteration for stress approximation end do !active_s=1 !do is = 1, nslip ! if (absgammadot_s(is) > 0.0) then ! active_s(is)=1 ! end if !end do return end subroutine Hardie_innerloop ! end module innerloop ================================================ FILE: Example - Residual deformation/irradiation.f ================================================ ! Specific subroutines for irradiation models ! ! Strength and hardening interaction matrices for irradiation model-2 module irradiation implicit none ! ! contains ! ! ! Subroutine to calculate strength interaction matrix for ! irradiation model-2 ! Ref: https://doi.org/10.1016/j.actamat.2022.118361 subroutine calculateintmats4irradmodel2(nslip, dirc, norc, + irradiationparam, sintmat, hintmat) use userinputs, only: maxnslip, maxnparam implicit none ! Inputs ! Number of slip systems integer, intent(in) :: nslip ! Normalize slip directions real(8), intent(in) :: dirc(maxnslip,3) ! Normalized slip plane normals real(8), intent(in) :: norc(maxnslip,3) ! Irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! Outputs ! Strength interaction matrix ! Strength interaction: sintmat (nslip x nloop) real(8), intent(out) :: sintmat(maxnslip,maxnslip) ! Hardening (Softening) interaction matrix ! Hardening interaction: hintmat (nloop x nslip) real(8), intent(out) :: hintmat(maxnslip,maxnslip) ! Variables used in this subroutine integer :: nloop ! reaction vector real(8) :: r(3) ! Projected vector (reaction segment) real(8) :: a integer :: i, j, ind ! ! ! ! ! Reset arrays sintmat = 0. hintmat = 0. ! ! ! Number of types of defects nloop = int(irradiationparam(1)) ! ! do i=1,nslip ! do j=1,nloop ! ! Slip system index corresponding to the defect type ind = int(irradiationparam(7+j)) ! ! What is the reaction product for the gliding dislocation on slip ! system 'i' and defect type 'j'? r = dirc(i,:) + dirc(ind,:) ! ! Is this reaction in the slip plane of slip system 'i'? a = dot_product(norc(i,:), r) ! if (a==0.) then sintmat(i,j)=irradiationparam(12) hintmat(j,i)=irradiationparam(14) else sintmat(i,j)=irradiationparam(11) hintmat(j,i)=irradiationparam(13) end if ! end do ! end do ! ! ! ! ! ! ! end subroutine calculateintmats4irradmodel2 ! ! ! end module irradiation ================================================ FILE: Example - Residual deformation/meshprop.f ================================================ ! Jan. 01st, 2023 ! Eralp Demir ! ! ! ABAQUS Analysis User's Manual (6.10) ! 2D-Plane strain elements ! CPE4 4-node bilinear 4-integration points ! CPE6 6-node quadratic 3-integration points ! CPE8 8-node biquadratic 9-integration points ! CPE8R 8-node biquadratic 4-integration points (reduced integration) ! ! ! 2D-Plane stress elements ! CPS4 4-node bilinear 4-integration points ! CPS6 6-node quadratic 3-integration points ! CPS8 8-node biquadratic 9-integration points ! CPS8R 8-node biquadratic 4-integration points (reduced integration) ! ! ! 3D - element types ! C3D6 6-node linear triangular prism 4-integration points ! C3D8 8-node linear brick 8-integration points ! C3D10 10-node quadratic tetrahedron 4-integration points ! C3D15 15-node quadratic triangular prism 9-integration points ! C3D20 20-node quadratic brick 27-integration points ! C3D20R 20-node quadratic brick 8-integration points (reduced integration) ! module meshprop implicit none contains ! ! Finite element properties ! based on element type subroutine feprop use errors, only : error use globalvariables, only : eltyp, numel, + numtens, numdim, numpt, nnpel, + Nmat, invNmat, dNmat, dNmatc, + ipweights, calculategradient use userinputs, only : gndlinear, gndmodel use utilities, only: nolapinverse ! ! implicit none ! ! Gaussian point coordinates real(8) :: a, b ! Parametric coordinates real(8) :: g, h, r ! ! Separate variables are used for each element type ! in order to avoid using allocatables! ! ! Element type: CPE4 or CPS4 or CPE8R or CPS8R ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP4(4,2) ! Shape functions (nnpel) real(8) :: N_CP4(4) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_CP4(2,4) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP4(4,4) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP4(4,4) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_CP4(4,2,4) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP4(2,4) ! ! ! Element type: CPE6 or CPS6 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP6(3,2) ! Shape functions (nnpel) ! Linear version real(8) :: N_CP3(3) ! Quadratic version real(8) :: N_CP6(6) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_CP3(2,3) ! Quadratic version real(8) :: dN_CP6(2,6) ! Shape function matrix ! Linear version (numpt x nnpel) real(8) :: Nmat_CP3(3,3) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_CP6(6,6) ! Inverse of the shape function matrix (nnpel x numpt) ! Linear version real(8) :: invNmat_CP3(3,3) ! Quadratic version real(8) :: invNmat_CP6(6,3) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_CP3(3,2,3) ! Quadratic version real(8) :: dNmat_CP6(3,2,6) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_CP3(2,3) ! Quadratic version real(8) :: dNmatc_CP6(2,6) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_CP6(3,2) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_CP3(3,2) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_CP6(6,3) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_CP6(6,6) ! ! ! Element type: CPE8 or CPS8 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP8(9,2) ! Shape functions (nnpel) real(8) :: N_CP8(8) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_CP8(2,8) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP8(9,8) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_CP8(8,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP8(8,9) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_CP8(9,2,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP8(2,8) ! Square matrix (nnpel x nnpel) real(8) :: NTN_CP8(8,8) ! ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP8lin(9,4) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP8lin(4,9) ! Shape function derivatives (numpt x numdim x nnpel) real(8) :: dNmat_CP8lin(9,2,4) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP8lin(2,4) ! Square matrix (nnpel x nnpel) real(8) :: NTN_CP8lin(4,4) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_CP8lin(4,4) ! ! ! Element type: C3D8 or C3D20R ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D8(8,3) ! Shape functions (nnpel) real(8) :: N_C3D8(8) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_C3D8(3,8) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D8(8,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D8(8,8) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_C3D8(8,3,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D8(3,8) ! ! ! Element type: C3D10 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D10(4,3) ! Shape functions (nnpel) ! Linear version real(8) :: N_C3D4(4) ! Quadratic version real(8) :: N_C3D10(10) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_C3D4(3,4) ! Quadratic version real(8) :: dN_C3D10(3,10) ! Shape function matrix ! Linear version (numpt x nnpel) real(8) :: Nmat_C3D4(4,4) ! Linear version (numpt_sub x nnpel) real(8) :: Nmat_sub_C3D4(6,4) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_C3D10(10,10) ! Inverse of the shape function matrix (nnpel x numpt) ! Linear version real(8) :: invNmat_C3D4(4,4) ! Quadratic version real(8) :: invNmat_C3D10(10,4) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_C3D4(4,3,4) ! Quadratic version real(8) :: dNmat_C3D10(4,3,10) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_C3D4(3,4) ! Quadratic version real(8) :: dNmatc_C3D10(3,10) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D10(6,3) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D4(6,3) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_C3D10(10,4) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_C3D10(10,10) ! ! ! ! Element type: C3D15 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D15(9,3) ! Shape functions (nnpel) ! Linear version real(8) :: N_C3D6(6) ! Quadratic version real(8) :: N_C3D15(15) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_C3D6(3,6) ! Quadratic version real(8) :: dN_C3D15(3,15) ! Shape function matrix ! Linear version (numpt x nnpel_sub) real(8) :: Nmat_C3D6(9,6) ! Quadratic version (numpt x nnpel_sub) real(8) :: Nmat_sub_C3D6(6,6) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_C3D15(15,15) ! Coefficient matrix ! Linear version (nnpel_sub x numpt) real(8) :: coeff_C3D6(6,6) ! Linear version (nnpel_sub x numpt) real(8) :: invNmat_C3D6(6,9) ! Quadratic version (nnpel x numpt) real(8) :: invNmat_C3D15(15,9) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_C3D6(9,3,6) ! Quadratic version real(8) :: dNmat_C3D15(9,3,15) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_C3D6(3,6) ! Quadratic version real(8) :: dNmatc_C3D15(3,15) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D15(6,3) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D6(6,3) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_C3D15(15,9) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_C3D15(15,15) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D6(6,6) ! ! ! ! ! Element type: C3D20 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D20(27,3) ! Shape functions (nnpel) real(8) :: N_C3D20(20) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_C3D20(3,20) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D20(27,20) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_C3D20(20,20) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D20(20,27) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_C3D20(27,3,20) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D20(3,20) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D20(20,20) ! ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D20lin(27,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D20lin(8,27) ! Shape function derivatives (numpt x numdim x nnpel) real(8) :: dNmat_C3D20lin(27,3,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D20lin(3,8) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D20lin(8,8) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_C3D20lin(8,8) ! ! ! Sub element properties integer :: nnpel_sub, numpt_sub ! Parametric Gauss point coordinates integer :: ipt ! Dummy integers integer :: i, j ! ! ! Identify the element type ! Based on ! - number of integration points per element: numpt ! - dimension of the problem: ntens call findelementtype(numtens,numpt,eltyp) ! ! ! ! !! Output the element type ! write(*,*) 'ABAQUS element type: ', eltyp ! select case(eltyp) ! ! Element type: CPE3 or CPS3 or CPE6R or CPS6R ! Use the same interpolation functions for the reduced elements case('CPE3', 'CPS3', 'CPE6R', 'CPS6R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! Number of dimensions of the problem numdim = 2 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 3 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Element type: CPE4R or CPS4R ! Use the same interpolation functions for the reduced elements case('CPE4R', 'CPS4R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! Number of dimensions of the problem numdim = 2 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Element type: CPE4 or CPS4 or CPE8R or CPS8R ! Use the same interpolation functions for the reduced elements case('CPE4', 'CPS4', 'CPE8R', 'CPS8R') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=1. ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Gauss points GPcoords_CP4 = 0. GPcoords_CP4(1,:) = (/ -1., -1. /) GPcoords_CP4(2,:) = (/ 1., -1. /) GPcoords_CP4(3,:) = (/ -1., 1. /) GPcoords_CP4(4,:) = (/ 1., 1. /) GPcoords_CP4 = GPcoords_CP4/sqrt(3.) ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! ! Gauss point coordinates g = GPcoords_CP4(ipt,1) h = GPcoords_CP4(ipt,2) ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Shape function mapping Nmat_CP4(ipt,1:nnpel) = N_CP4 ! ! Shape function derivative dNmat_CP4(ipt,1:numdim,1:nnpel) = dN_CP4 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP4,invNmat_CP4,4) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Assign the center value dNmatc_CP4 = dN_CP4 ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP4(:,:) dNmat(:,:,:) = dNmat_CP4(:,:,:) invNmat(:,:) = invNmat_CP4(:,:) dNmatc(:,:) = dNmatc_CP4(:,:) ! ! ! Element type: CPE6 or CPS6 case('CPE6', 'CPS6') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1./6. ! ! ! ! ! Gauss points GPcoords_CP6 = 0. GPcoords_CP6(1,:) = (/ 1./6., 1./6. /) GPcoords_CP6(2,:) = (/ 2./3., 1./6. /) GPcoords_CP6(3,:) = (/ 1./6., 2./3. /) ! ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 3 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Use CP3 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP6(ipt,1) h = GPcoords_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3) ! ! Shape function mapping Nmat_CP3(ipt,1:nnpel) = N_CP3 ! ! Shape function derivative dNmat_CP3(ipt,1:numdim,1:nnpel) = dN_CP3 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP3,invNmat_CP3,3) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3) ! ! Assign the center value dNmatc_CP3 = dN_CP3 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP3(:,:) dNmat(:,:,:) = dNmat_CP3(:,:,:) invNmat(:,:) = invNmat_CP3(:,:) dNmatc(:,:) = dNmatc_CP3(:,:) ! ! ! ! ! Quadratic interpolation functions else ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! Number of nodes per element nnpel = 6 ! ! Number of nodes per the sub element nnpel_sub = 3 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_CP6 = 0. GPcoords_sub_CP6(1,:) = (/ 5./12., 1./6. /) GPcoords_sub_CP6(2,:) = (/ 5./12., 5./12. /) GPcoords_sub_CP6(3,:) = (/ 1./6., 5./12. /) ! ! Local coordinates (in its linear form) GPcoords_sub_CP3 = 0. GPcoords_sub_CP3(1,:) = (/ 1./2., 0. /) GPcoords_sub_CP3(2,:) = (/ 1./2., 1./2. /) GPcoords_sub_CP3(3,:) = (/ 0., 1./2. /) ! ! ! ! Use CP6 (quadratic) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP6(ipt,1) h = GPcoords_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Shape function mapping Nmat_CP6(ipt,1:nnpel) = N_CP6 ! ! Shape function derivative dNmat_CP6(ipt,1:numdim,1:nnpel) = dN_CP6 ! end do ! ! ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_CP6(ipt,1) h = GPcoords_sub_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Shape function mapping Nmat_CP6(numpt+ipt,1:nnpel) = N_CP6 ! ! ! ! Gauss point coordinates - local g = GPcoords_sub_CP3(ipt,1) h = GPcoords_sub_CP3(ipt,2) ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel_sub,numdim,g,h,N_CP3,dN_CP3) ! ! Shape function mapping Nmat_CP3(ipt,1:nnpel_sub) = N_CP3 ! ! ! end do ! ! IPmap_CP6=0. ! Identity matrix do i=1,numpt IPmap_CP6(i,i)=1. end do IPmap_CP6(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_CP3 ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP6,coeff_CP6,6) ! ! invNmat_CP6 = matmul(coeff_CP6,IPmap_CP6) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Assign the center value dNmatc_CP6 = dN_CP6 ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP6(:,:) dNmat(:,:,:) = dNmat_CP6(:,:,:) invNmat(:,:) = invNmat_CP6(:,:) dNmatc(:,:) = dNmatc_CP6(:,:) ! ! ! ! ! endif ! ! ! ! ! ! Element type: CPE8 or CPS8 case('CPE8', 'CPS8') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! Integration weights allocate(ipweights(numpt)) ipweights=0. ! ipweights(1) = 0.308641975308642 ipweights(2) = 0.493827160493827 ipweights(3) = 0.308641975308642 ipweights(4) = 0.493827160493827 ipweights(5) = 0.790123456790124 ipweights(6) = 0.493827160493827 ipweights(7) = 0.308641975308642 ipweights(8) = 0.493827160493827 ipweights(9) = 0.308641975308642 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Gauss points GPcoords_CP8 = 0. GPcoords_CP8(1,:) = (/ -1., -1. /) GPcoords_CP8(2,:) = (/ 0., -1. /) GPcoords_CP8(3,:) = (/ 1., -1. /) GPcoords_CP8(4,:) = (/ -1., 0. /) GPcoords_CP8(5,:) = (/ 0., 0. /) GPcoords_CP8(6,:) = (/ 1., 0. /) GPcoords_CP8(7,:) = (/ -1., 1. /) GPcoords_CP8(8,:) = (/ 0., 1. /) GPcoords_CP8(9,:) = (/ 1., 1. /) GPcoords_CP8 = sqrt(0.6) * GPcoords_CP8 ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 4 ! ! ! Use CP4 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP8(ipt,1) h = GPcoords_CP8(ipt,2) ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Shape function mapping Nmat_CP8lin(ipt,1:nnpel) = N_CP4 ! ! Shape function derivative dNmat_CP8lin(ipt,1:numdim,1:nnpel) = dN_CP4 ! end do ! ! ! Make Nmat a square matrix NTN_CP8lin = matmul(transpose(Nmat_CP8lin),Nmat_CP8lin) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_CP8lin,coeff_CP8lin,4) ! ! Overall mapping for mapping from IPs to nodes invNmat_CP8lin=matmul(coeff_CP8lin,transpose(Nmat_CP8lin)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Assign the center value dNmatc_CP8lin = dN_CP4 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP8lin(:,:) dNmat(:,:,:) = dNmat_CP8lin(:,:,:) invNmat(:,:) = invNmat_CP8lin(:,:) dNmatc(:,:) = dNmatc_CP8lin(:,:) ! ! ! ! else ! ! ! ! ! Number of nodes per element nnpel = 8 ! ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP8(ipt,1) h = GPcoords_CP8(ipt,2) ! ! Calculate shape functions and their derivatives call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8) ! ! Shape function mapping Nmat_CP8(ipt,1:nnpel) = N_CP8 ! ! Shape function derivative dNmat_CP8(ipt,1:numdim,1:nnpel) = dN_CP8 ! end do ! ! Make Nmat a square matrix NTN_CP8 = matmul(transpose(Nmat_CP8),Nmat_CP8) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_CP8,coeff_CP8,8) ! ! Overall mapping for mapping from IPs to nodes invNmat_CP8 = matmul(coeff_CP8,transpose(Nmat_CP8)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8) ! ! Assign the center value dNmatc_CP8 = dN_CP8 ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP8(:,:) dNmat(:,:,:) = dNmat_CP8(:,:,:) invNmat(:,:) = invNmat_CP8(:,:) dNmatc(:,:) = dNmatc_CP8(:,:) ! ! end if ! ! case('C3D4') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! case('C3D6') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 6 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! case('C3D8R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 8 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! ! Element type: C3D8 or C3D20R ! Use the same interpolation functions for the reduced element case('C3D8','C3D20R') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! Number of nodes per element nnpel = 8 ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1. ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Gauss points GPcoords_C3D8 = 0. GPcoords_C3D8(1,:) = (/ -1., -1., -1. /) GPcoords_C3D8(2,:) = (/ 1., -1., -1. /) GPcoords_C3D8(3,:) = (/ -1., 1., -1. /) GPcoords_C3D8(4,:) = (/ 1., 1., -1. /) GPcoords_C3D8(5,:) = (/ -1., -1., 1. /) GPcoords_C3D8(6,:) = (/ 1., -1., 1. /) GPcoords_C3D8(7,:) = (/ -1., 1., 1. /) GPcoords_C3D8(8,:) = (/ 1., 1., 1. /) GPcoords_C3D8 = GPcoords_C3D8/sqrt(3.) ! ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D8(ipt,1) h = GPcoords_C3D8(ipt,2) r = GPcoords_C3D8(ipt,3) ! ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! ! ! Shape function mapping Nmat_C3D8(ipt,1:nnpel) = N_C3D8 ! ! ! ! Shape function derivative dNmat_C3D8(ipt,1:numdim,1:nnpel) = dN_C3D8 ! ! end do ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D8,invNmat_C3D8,8) ! ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Assign the center value dNmatc_C3D8 = dN_C3D8 ! ! ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D8(:,:) dNmat(:,:,:) = dNmat_C3D8(:,:,:) invNmat(:,:) = invNmat_C3D8(:,:) dNmatc(:,:) = dNmatc_C3D8(:,:) ! ! ! ! ! ! Element type: C3D10 case('C3D10') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1./4./6. ! ! Gauss points a = 0.138196601125010 b = 0.585410196624968 ! ! GPcoords_C3D10 = 0. GPcoords_C3D10(1,:) = (/ a, a, a /) GPcoords_C3D10(2,:) = (/ b, a, a /) GPcoords_C3D10(3,:) = (/ a, b, a /) GPcoords_C3D10(4,:) = (/ a, a, b /) ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 4 ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Use C3D4 (linear) element function write(*,*) 'Linear interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D10(ipt,1) h = GPcoords_C3D10(ipt,2) r = GPcoords_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Shape function mapping Nmat_C3D4(ipt,1:nnpel) = N_C3D4 ! ! Shape function derivative dNmat_C3D4(ipt,1:numdim,1:nnpel) = dN_C3D4 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D4,invNmat_C3D4,4) ! ! ! Shape function derivatives at the element center g = 1./4. h = 1./4. r = 1./4. ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Assign the center value dNmatc_C3D4 = dN_C3D4 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D4(:,:) dNmat(:,:,:) = dNmat_C3D4(:,:,:) invNmat(:,:) = invNmat_C3D4(:,:) dNmatc(:,:) = dNmatc_C3D4(:,:) ! ! ! ! ! Quadratic interpolation functions else ! ! Number of nodes per element nnpel = 10 ! ! Number of nodes per the sub element nnpel_sub = 4 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_C3D10 = 0. do i=1,numdim GPcoords_sub_C3D10(1,i) = + 0.5*(GPcoords_C3D10(1,i)+GPcoords_C3D10(2,i)) GPcoords_sub_C3D10(2,i) = + 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(3,i)) GPcoords_sub_C3D10(3,i) = + 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(1,i)) GPcoords_sub_C3D10(4,i) = + 0.5*(GPcoords_C3D10(4,i)+GPcoords_C3D10(1,i)) GPcoords_sub_C3D10(5,i) = + 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(4,i)) GPcoords_sub_C3D10(6,i) = + 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(4,i)) end do ! ! ! Local coordinates (in its linear form) GPcoords_sub_C3D4 = 0. GPcoords_sub_C3D4(1,:) = (/ 0.5, 0., 0. /) GPcoords_sub_C3D4(2,:) = (/ 0.5, 0.5, 0. /) GPcoords_sub_C3D4(3,:) = (/ 0., 0.5, 0. /) GPcoords_sub_C3D4(4,:) = (/ 0., 0., 0.5 /) GPcoords_sub_C3D4(5,:) = (/ 0.5, 0., 0.5 /) GPcoords_sub_C3D4(6,:) = (/ 0., 0.5, 0.5 /) ! ! ! ! ! ! Use C3D10 (quadratic) element function write(*,*) 'Quadratic interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D10(ipt,1) h = GPcoords_C3D10(ipt,2) r = GPcoords_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Shape function mapping Nmat_C3D10(ipt,1:nnpel) = N_C3D10 ! ! Shape function derivative dNmat_C3D10(ipt,1:numdim,1:nnpel) = dN_C3D10 ! ! end do ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_C3D10(ipt,1) h = GPcoords_sub_C3D10(ipt,2) r = GPcoords_sub_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Shape function mapping Nmat_C3D10(numpt+ipt,1:nnpel) = N_C3D10 ! ! ! Gauss point coordinates - local g = GPcoords_sub_C3D4(ipt,1) h = GPcoords_sub_C3D4(ipt,2) r = GPcoords_sub_C3D4(ipt,3) ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel_sub,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Shape function mapping Nmat_sub_C3D4(ipt,1:nnpel_sub) = N_C3D4 ! ! end do ! ! ! Identity matrix IPmap_C3D10 = 0. do i=1,numpt IPmap_C3D10(i,i)=1. end do ! IPmap_C3D10(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_sub_C3D4 ! ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D10,coeff_C3D10,10) ! ! ! invNmat_C3D10 = matmul(coeff_C3D10,IPmap_C3D10) ! ! ! Shape function derivatives at the element center g = 1./4. h = 1./4. r = 1./4. ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Assign the center value dNmatc_C3D10 = dN_C3D10 ! ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D10(:,:) dNmat(:,:,:) = dNmat_C3D10(:,:,:) invNmat(:,:) = invNmat_C3D10(:,:) dNmatc(:,:) = dNmatc_C3D10(:,:) ! ! ! ! ! ! ! ! endif ! ! ! ! Element type: C3D15 case('C3D15') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights=1./6./3. ! ! ! ! Isoparametric coordinate (r-axis) a = 0.774596669241483 ! ! GPcoords_C3D15 = 0. GPcoords_C3D15(2,:) = (/ 2./3., 1./6., -1. /) GPcoords_C3D15(1,:) = (/ 1./6., 1./6., -1. /) GPcoords_C3D15(3,:) = (/ 1./6., 2./3., -1. /) GPcoords_C3D15(5,:) = (/ 2./3., 1./6., 0. /) GPcoords_C3D15(4,:) = (/ 1./6., 1./6., 0. /) GPcoords_C3D15(6,:) = (/ 1./6., 2./3., 0. /) GPcoords_C3D15(8,:) = (/ 2./3., 1./6., 1. /) GPcoords_C3D15(7,:) = (/ 1./6., 1./6., 1. /) GPcoords_C3D15(9,:) = (/ 1./6., 2./3., 1. /) ! GPcoords_C3D15(:,3) = GPcoords_C3D15(:,3) * a ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 6 ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! Use C3D6 (linear) element function write(*,*) 'Linear interpolation will be used for GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D15(ipt,1) h = GPcoords_C3D15(ipt,2) r = GPcoords_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Shape function mapping Nmat_C3D6(ipt,1:nnpel) = N_C3D6 ! ! Shape function derivative dNmat_C3D6(ipt,1:numdim,1:nnpel) = dN_C3D6 ! end do ! ! NTN_C3D6 = matmul(transpose(Nmat_C3D6),Nmat_C3D6) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D6,coeff_C3D6,6) ! ! invNmat_C3D6 = matmul(coeff_C3D6,transpose(Nmat_C3D6)) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. r = 0. ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Assign the center value dNmatc_C3D6 = dN_C3D6 ! ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D6(:,:) dNmat(:,:,:) = dNmat_C3D6(:,:,:) invNmat(:,:) = invNmat_C3D6(:,:) dNmatc(:,:) = dNmatc_C3D6(:,:) ! ! ! ! ! ! ! ! Quadratic interpolation functions else ! ! Number of nodes per element nnpel = 15 ! ! Number of nodes of the sub-element nnpel_sub = 6 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_C3D15 = 0. do i=1,numdim GPcoords_sub_C3D15(1,i) = + 0.5*(GPcoords_C3D15(1,i)+GPcoords_C3D15(2,i)) GPcoords_sub_C3D15(2,i) = + 0.5*(GPcoords_C3D15(2,i)+GPcoords_C3D15(3,i)) GPcoords_sub_C3D15(3,i) = + 0.5*(GPcoords_C3D15(3,i)+GPcoords_C3D15(1,i)) GPcoords_sub_C3D15(4,i) = + 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(8,i)) GPcoords_sub_C3D15(5,i) = + 0.5*(GPcoords_C3D15(8,i)+GPcoords_C3D15(9,i)) GPcoords_sub_C3D15(6,i) = + 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(9,i)) end do ! ! ! Local coordinates (in its linear form) GPcoords_sub_C3D6 = 0. GPcoords_sub_C3D6(1,:) = (/ 0.5, 0., -1. /) GPcoords_sub_C3D6(2,:) = (/ 0.5, 0.5, -1. /) GPcoords_sub_C3D6(3,:) = (/ 0., 0.5, -1. /) GPcoords_sub_C3D6(4,:) = (/ 0.5, 0., 1. /) GPcoords_sub_C3D6(5,:) = (/ 0.5, 0.5, 1. /) GPcoords_sub_C3D6(6,:) = (/ 0., 0.5, 1. /) ! ! ! ! ! ! Use C3D15 (quadratic) element function write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D15(ipt,1) h = GPcoords_C3D15(ipt,2) r = GPcoords_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Shape function mapping Nmat_C3D15(ipt,1:nnpel) = N_C3D15 ! ! Shape function derivative dNmat_C3D15(ipt,1:numdim,1:nnpel) = dN_C3D15 ! ! end do ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_C3D15(ipt,1) h = GPcoords_sub_C3D15(ipt,2) r = GPcoords_sub_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Shape function mapping Nmat_C3D15(numpt+ipt,1:nnpel) = N_C3D15 ! ! ! ! ! Gauss point coordinates - local g = GPcoords_sub_C3D6(ipt,1) h = GPcoords_sub_C3D6(ipt,2) r = GPcoords_sub_C3D6(ipt,3) ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel_sub,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Shape function mapping Nmat_sub_C3D6(ipt,1:nnpel_sub) = N_C3D6 ! ! ! end do ! ! ! Identity matrix IPmap_C3D15=0. do i=1,numpt IPmap_C3D15(i,i)=1. end do IPmap_C3D15(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_sub_C3D6 ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D15,coeff_C3D15,15) ! ! invNmat_C3D15 = matmul(coeff_C3D15,IPmap_C3D15) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. r = 0. ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Assign the center value dNmatc_C3D15 = dN_C3D15 ! ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D15(:,:) dNmat(:,:,:) = dNmat_C3D15(:,:,:) invNmat(:,:) = invNmat_C3D15(:,:) dNmatc(:,:) = dNmatc_C3D15(:,:) ! ! ! ! ! ! endif ! ! ! ! ! ! ! Element type: C3D20 case('C3D20') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ipweights(1) = 0.171467764060357 ipweights(2) = 0.274348422496571 ipweights(3) = 0.171467764060357 ipweights(4) = 0.274348422496571 ipweights(5) = 0.438957475994513 ipweights(6) = 0.274348422496571 ipweights(7) = 0.171467764060357 ipweights(8) = 0.274348422496571 ipweights(9) = 0.171467764060357 ipweights(10) = 0.274348422496571 ipweights(11) = 0.438957475994513 ipweights(12) = 0.274348422496571 ipweights(13) = 0.438957475994513 ipweights(14) = 0.702331961591221 ipweights(15) = 0.438957475994513 ipweights(16) = 0.274348422496571 ipweights(17) = 0.438957475994513 ipweights(18) = 0.274348422496571 ipweights(19) = 0.171467764060357 ipweights(20) = 0.274348422496571 ipweights(21) = 0.171467764060357 ipweights(22) = 0.274348422496571 ipweights(23) = 0.438957475994513 ipweights(24) = 0.274348422496571 ipweights(25) = 0.171467764060357 ipweights(26) = 0.274348422496571 ipweights(27) = 0.171467764060357 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! GPcoords_C3D20 = 0. GPcoords_C3D20(1,:)= (/ -1., -1., -1. /) GPcoords_C3D20(2,:)= (/ 0., -1., -1. /) GPcoords_C3D20(3,:)= (/ 1., -1., -1. /) GPcoords_C3D20(4,:)= (/ -1., 0., -1. /) GPcoords_C3D20(5,:)= (/ 0., 0., -1. /) GPcoords_C3D20(6,:)= (/ 1., 0., -1. /) GPcoords_C3D20(7,:)= (/ -1., 1., -1. /) GPcoords_C3D20(8,:)= (/ 0., 1., -1. /) GPcoords_C3D20(9,:)= (/ 1., 1., -1. /) GPcoords_C3D20(10,:)= (/ -1., -1., 0. /) GPcoords_C3D20(11,:)= (/ 0., -1., 0. /) GPcoords_C3D20(12,:)= (/ 1., -1., 0. /) GPcoords_C3D20(13,:)= (/ -1., 0., 0. /) GPcoords_C3D20(14,:)= (/ 0., 0., 0. /) GPcoords_C3D20(15,:)= (/ 1., 0., 0. /) GPcoords_C3D20(16,:)= (/ -1., 1., 0. /) GPcoords_C3D20(17,:)= (/ 0., 1., 0. /) GPcoords_C3D20(18,:)= (/ 1., 1., 0. /) GPcoords_C3D20(19,:)= (/ -1., -1., 1. /) GPcoords_C3D20(20,:)= (/ 0., -1., 1. /) GPcoords_C3D20(21,:)= (/ 1., -1., 1. /) GPcoords_C3D20(22,:)= (/ -1., 0., 1. /) GPcoords_C3D20(23,:)= (/ 0., 0., 1. /) GPcoords_C3D20(24,:)= (/ 1., 0., 1. /) GPcoords_C3D20(25,:)= (/ -1., 1., 1. /) GPcoords_C3D20(26,:)= (/ 0., 1., 1. /) GPcoords_C3D20(27,:)= (/ 1., 1., 1. /) GPcoords_C3D20 = GPcoords_C3D20 * sqrt(0.6) ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 8 ! ! ! ! ! Use C3D8 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D20(ipt,1) h = GPcoords_C3D20(ipt,2) r = GPcoords_C3D20(ipt,3) ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Shape function mapping Nmat_C3D20lin(ipt,1:nnpel) = N_C3D8 ! ! Shape function derivative dNmat_C3D20lin(ipt,1:numdim,1:nnpel) = dN_C3D8 ! end do ! ! ! Make Nmat a square matrix NTN_C3D20lin = + matmul(transpose(Nmat_C3D20lin),Nmat_C3D20lin) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D20lin,coeff_C3D20lin,8) ! ! Overall mapping for mapping from IPs to nodes invNmat_C3D20lin = + matmul(coeff_C3D20lin,transpose(Nmat_C3D20lin)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Assign the center value dNmatc_C3D20lin = dN_C3D8 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D20lin(:,:) dNmat(:,:,:) = dNmat_C3D20lin(:,:,:) invNmat(:,:) = invNmat_C3D20lin(:,:) dNmatc(:,:) = dNmatc_C3D20lin(:,:) ! ! ! ! else ! ! ! ! ! Number of nodes per element nnpel = 20 ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D20(ipt,1) h = GPcoords_C3D20(ipt,2) r = GPcoords_C3D20(ipt,3) ! ! Calculate shape functions and their derivatives call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20) ! ! Shape function mapping Nmat_C3D20(ipt,1:nnpel) = N_C3D20 ! ! Shape function derivative dNmat_C3D20(ipt,1:numdim,1:nnpel) = dN_C3D20 ! end do ! ! ! Make Nmat a square matrix NTN_C3D20 = matmul(transpose(Nmat_C3D20),Nmat_C3D20) ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D20,coeff_C3D20,20) ! ! Overall mapping to map from the IPs to the nodes invNmat_C3D20 = matmul(coeff_C3D20,transpose(Nmat_C3D20)) ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20) ! ! Assign the center value dNmatc_C3D20 = dN_C3D20 ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D20(:,:) dNmat(:,:,:) = dNmat_C3D20(:,:,:) invNmat(:,:) = invNmat_C3D20(:,:) dNmatc(:,:) = dNmatc_C3D20(:,:) ! ! end if ! ! ! case default ! call error(2) ! ! end select ! ! write(*,*) 'Dimension of the analysis: ', numdim write(*,*) 'Number of integration points per element: ', numpt ! write(*,*) 'Number of nodes per element: ', nnpel ! ! ! return end subroutine feprop ! ! ! ! Find the number of nodes for displacement analysis (not for GND analysis) subroutine findelementtype(numtens,numpt,eltyp) implicit none integer, intent(in) :: numtens integer, intent(in) :: numpt character(len=:), allocatable, intent(out) :: eltyp ! ! ! Determine the element type ! Based on the dimension of the problem (numdim=ntens) ! ! Dimension of the problem (2D-plane stress) if (numtens==3) then ! select case(numpt) ! ! 2D - CPS3 / CPS6R / CPS4R case(1) ! eltyp = 'CPS3' ! ! 2D - CPS4 / CPS8R case(4) ! eltyp = 'CPS4' ! ! 2D - CPS6 case(3) ! eltyp = 'CPS6' ! ! 2D - 8 node quadratic quadrilateral case(9) ! eltyp = 'CPS8' ! end select ! ! Dimension of the problem (2D - Plane strain) elseif (numtens==4) then ! select case(numpt) ! ! 2D - CPS3 / CPS6R / CPS4R case(1) ! eltyp = 'CPE3' ! ! 2D - CPS4 / CPS8R case(4) ! eltyp = 'CPE4' ! ! 2D - CPS6 case(3) ! eltyp = 'CPE6' ! ! 2D - 8 node quadratic quadrilateral case(9) ! eltyp = 'CPE8' ! end select ! ! ! Dimension of the problem (3D) elseif (numtens==6) then ! select case(numpt) ! ! 3D - C3D4 / C3D8R / C3D10R case(1) ! eltyp = 'C3D4' ! ! 3D - C3D6 / C3D15R case(2) ! eltyp = 'C3D6' ! ! 3D - C3D8 / C3D20R case(8) ! eltyp = 'C3D8' ! ! 3D - C3D10 case(4) ! eltyp = 'C3D10' ! ! 3D - C3D15 case(9) ! eltyp = 'C3D15' ! ! 3D - C3D20 case(27) ! eltyp = 'C3D20' ! end select ! end if ! write(*,*) 'Element type identified as: ', eltyp ! return end subroutine findelementtype ! ! ! Contains the element-by-element initializations ! Done only once at the first run subroutine initialize_gradientoperators use globalvariables, only : numel, + numdim, numpt, nnpel, gradip2ip, ipweights, + ipcoords, ipdomain, Nmat, invNmat, dNmat, dNmatc use userinputs, only : gndlinear use utilities, only: nolapinverse, inv2x2, inv3x3 implicit none ! Gauss point coordinates in sample reference real(8) :: xIP(numpt,numdim) ! Node point coordinates real(8) :: xnode(nnpel,numdim) ! Jacobian transpose real(8) :: JT(numdim,numdim) ! Jacobian inverse transpose real(8) :: invJT(numdim,numdim) ! Determinant of the inversion real(8) :: det ! Gradient operator real(8) :: grad(numdim,nnpel) ! Overall mapping real(8) :: grad_invN(numdim,numpt) ! Element number and ip number integer :: iel, ipt ! ! ! ! ! Loop through each element do iel = 1, numel ! ! ! ! Vectorize element ipcoordinates xIP = 0. do ipt = 1, numpt ! xIP(ipt,1:numdim) = ipcoords(iel,ipt,1:numdim) ! end do ! ! ! ! ! xnode = matmul(invNmat,xIP) ! ! ! ! ! ! For each integration point do ipt = 1, numpt ! ! ! Calculate jacobian (transpose) for isoparametric space to real reference JT = matmul(dNmat(ipt,1:numdim,1:nnpel),xnode) ! ! ! ! ! Invert the Jacobian if (numdim==2) then ! call inv2x2(JT,invJT,det) ! elseif (numdim==3) then ! call inv3x3(JT,invJT,det) ! endif ! ! ! IP domain size ipdomain(iel,ipt) = det * ipweights(ipt) ! ! ! ! Gradient operator grad = matmul(invJT,dNmat(ipt,1:numdim,1:nnpel)) ! ! ! ! Overall mapping grad_invN = matmul(grad,invNmat) ! ! ! ! ! Store gradip2ip(iel,ipt,1:numdim,1:numpt) = grad_invN ! ! ! ! ! end do ! ! write(*,*) 'vol: ', sum(ipdomain(iel,:)) ! write(*,*) '******************' ! ! For the center of the element ! ! Calculate jacobian (transpose) for isoparametric space to real reference JT = matmul(dNmatc,xnode) ! ! Invert the Jacobian if (numdim==2) then ! call inv2x2(JT,invJT,det) ! elseif (numdim==3) then ! call inv3x3(JT,invJT,det) ! endif ! ! ! Gradient operator grad = matmul(invJT,dNmatc) ! ! ! Overall mapping grad_invN = matmul(grad, invNmat) ! ! Store gradip2ip(iel,numpt+1,1:numdim,1:numpt) = grad_invN ! ! ! ! ! end do ! ! return end subroutine initialize_gradientoperators ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE3 or CPS3 subroutine CP3_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP3 element N(1) = 1. - g - h ! N(2) = g ! N(3) = h ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = -1. ! dN(1,2) = 1. ! dN(1,3) = 0. ! ! dN_dh dN(2,1) = -1. ! dN(2,2) = 0. ! dN(2,3) = 1. ! ! ! ! return end subroutine CP3_N_dN ! ! ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE4 or CPS4 or CPE8R or CPS8R subroutine CP4_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP4 element N(1) = (1. - g) * (1. - h) / 4. ! N(2) = (1. + g) * (1. - h) / 4. ! N(3) = (1. + g) * (1. + h) / 4. ! N(4) = (1. - g) * (1. + h) / 4. ! ! ! ! ! Shape function derivatives wrt natural coords for CP4 element ! ! dN_dg dN(1,1) = -1. * (1. - h) / 4. ! dN(1,2) = 1. * (1. - h) / 4. ! dN(1,3) = 1. * (1. + h) / 4. ! dN(1,4) = -1. * (1. + h) / 4. ! ! dN_dh dN(2,1) = (1. - g) * -1. / 4. ! dN(2,2) = (1. + g) * -1. / 4. ! dN(2,3) = (1. + g) * 1. / 4. dN(2,4) = (1. - g) * 1. / 4. ! ! ! ! ! return end subroutine CP4_N_dN ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE6 or CPS6 subroutine CP6_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP6 element N(1) = 2. * (0.5 - g - h) * (1. - g - h) ! N(2) = 2. * g * (g - 0.5) ! N(3) = 2. * h * (h - 0.5) ! N(4) = 4. * g * (1. - g - h) ! N(5) = 4. * g * h ! N(6) = 4. * h * (1. - g - h) ! ! ! ! ! Shape function derivatives wrt natural coords for C3D4 element ! dN_dg dN(1,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.) ! dN(1,2) = 2. * (1.) * (g - 0.5) + 2. * g * (1.) ! dN(1,3) = 0. ! dN(1,4) = 4. * (1.) * (1. - g - h) + 4. * g * (-1.) ! dN(1,5) = 4. * (1.) * h ! dN(1,6) = 4. * h * (-1.) ! ! dN_dh dN(2,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.) ! dN(2,2) = 0. ! dN(2,3) = 2. * (1.) * (h - 0.5) + 2. * h * (1.) ! dN(2,4) = 4. * g * (-1.) ! dN(2,5) = 4. * g * (1.) ! dN(2,6) = 4. * (1.) * (1. - g - h) + 4. * h * (-1.) ! ! ! ! return end subroutine CP6_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE8 or CPS8 subroutine CP8_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP8 element N(1) = -1./4. * (1. - g) * (1. - h) * (1. + g + h) ! N(2) = -1./4. * (1. + g) * (1. - h) * (1. - g + h) ! N(3) = -1./4. * (1. + g) * (1. + h) * (1. - g - h) ! N(4) = -1./4. * (1. - g) * (1. + h) * (1. + g - h) ! N(5) = 1./2. * (1. - g) * (1. + g) * (1. - h) ! N(6) = 1./2. * (1. - h) * (1. + h) * (1. + g) ! N(7) = 1./2. * (1. - g) * (1. + g) * (1. + h) ! N(8) = 1./2. * (1. - h) * (1. + h) * (1. - g) ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP8 element ! dN_dg dN(1,1) = (-1./4.) * (-1.) * (1. - h) * (1. + g + h) + + (-1./4.) * (1. - g) * (1. - h) * (1.) ! dN(1,2) = (-1./4.) * (1.) * (1. - h) * (1. - g + h) + + (-1./4.) * (1. + g) * (1. - h) * (-1.) ! dN(1,3) = (-1./4.) * (1.) * (1. + h) * (1. - g - h) + + (-1./4.) * (1. + g) * (1. + h) * (-1.) ! dN(1,4) = (-1./4.) * (-1.) * (1. + h) * (1. + g - h) + + (-1./4.) * (1. - g) * (1. + h) * (1.) ! dN(1,5) = 1./2. * (-1.) * (1. + g) * (1. - h) + + 1./2. * (1. - g) * (1.) * (1. - h) ! dN(1,6) = 1./2. * (1. - h) * (1. + h) * (1.) ! dN(1,7) = 1./2. * (-1.) * (1. + g) * (1. + h) + + 1./2. * (1. - g) * (1.) * (1. + h) ! dN(1,8) = 1./2. * (1. - h) * (1. + h) * (-1.) ! ! ! ! dN_dh dN(2,1) = (-1./4.) * (1. - g) * (-1.) * (1. + g + h) + + (-1./4.) * (1. - g) * (1. - h) * (1.) ! dN(2,2) = (-1./4.) * (1. + g) * (-1.) * (1. - g + h) + + (-1./4.) * (1. + g) * (1. - h) * (1.) ! dN(2,3) = (-1./4.) * (1. + g) * (1.) * (1. - g - h) + + (-1./4.) * (1. + g) * (1. + h) * (-1.) dN(2,4) = (-1./4.) * (1. - g) * (1.) * (1. + g - h) + + (-1./4.) * (1. - g) * (1. + h) * (-1.) ! dN(2,5) = 1./2. * (1. - g) * (1. + g) * (-1.) ! dN(2,6) = 1./2. * (-1.) * (1. + h) * (1. + g) + + 1./2. * (1. - h) * (1.) * (1. + g) ! dN(2,7) = 1./2. * (1. - g) * (1. + g) * (1.) ! dN(2,8) = 1./2. * (-1.) * (1. + h) * (1. - g) + + 1./2. * (1. - h) * (1.) * (1. - g) ! ! ! ! ! ! return end subroutine CP8_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D4 subroutine C3D4_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP3 element N(1) = 1. - h - r - g ! N(2) = g ! N(3) = h ! N(4) = r ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = -1. ! dN(1,2) = 1. ! dN(1,3) = 0. ! dN(1,4) = 0. ! ! ! dN_dh dN(2,1) = -1. ! dN(2,2) = 0. ! dN(2,3) = 1. ! dN(2,4) = 0. ! ! ! dN_dr dN(3,1) = -1. ! dN(3,2) = 0. ! dN(3,3) = 0. ! dN(3,4) = 1. ! ! ! ! ! ! return end subroutine C3D4_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D6 subroutine C3D6_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D6 element N(1) = 1./2.*(1.-g-h)*(1.-r) ! N(2) = 1./2.*g*(1.-r) ! N(3) = 1./2.*h*(1.-r) ! N(4) = 1./2.*(1.-g-h)*(1.+r) ! N(5) = 1./2.*g*(1.+r) ! N(6) = 1./2.*h*(1.+r) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = 1./2.*(-1.)*(1.-r) ! dN(1,2) = 1./2.*(1.)*(1.-r) ! dN(1,3) = 0. ! dN(1,4) = 1./2.*(-1.)*(1.+r) ! dN(1,5) = 1./2.*(1.)*(1.+r) ! dN(1,6) = 0. ! ! ! ! dN_dh dN(2,1) = 1./2.*(-1.)*(1.-r) ! dN(2,2) = 0. ! dN(2,3) = 1./2.*(1.)*(1.-r) ! dN(2,4) = 1./2.*(-1.)*(1.+r) ! dN(2,5) = 0. ! dN(2,6) = 1./2.*(1.)*(1.+r) ! ! ! ! dN_dr dN(3,1) = 1./2.*(1.-g-h)*(-1.) ! dN(3,2) = 1./2.*g*(-1.) ! dN(3,3) = 1./2.*h*(-1.) ! dN(3,4) = 1./2.*(1.-g-h)*(1.) ! dN(3,5) = 1./2.*g*(1.) ! dN(3,6) = 1./2.*h*(1.) ! ! ! ! ! ! return end subroutine C3D6_N_dN ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D8 subroutine C3D8_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D8 element N(1) = 1./8.*(1.-g)*(1.-h)*(1.-r) ! N(2) = 1./8.*(1.+g)*(1.-h)*(1.-r) ! N(3) = 1./8.*(1.+g)*(1.+h)*(1.-r) ! N(4) = 1./8.*(1.-g)*(1.+h)*(1.-r) ! N(5) = 1./8.*(1.-g)*(1.-h)*(1.+r) ! N(6) = 1./8.*(1.+g)*(1.-h)*(1.+r) ! N(7) = 1./8.*(1.+g)*(1.+h)*(1.+r) ! N(8) = 1./8.*(1.-g)*(1.+h)*(1.+r) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D8 element ! dN_dg dN(1,1) = 1./8.*(-1.)*(1.-h)*(1.-r) ! dN(1,2) = 1./8.*(1.)*(1.-h)*(1.-r) ! dN(1,3) = 1./8.*(1.)*(1.+h)*(1.-r) ! dN(1,4) = 1./8.*(-1.)*(1.+h)*(1.-r) ! dN(1,5) = 1./8.*(-1.)*(1.-h)*(1.+r) ! dN(1,6) = 1./8.*(1.)*(1.-h)*(1.+r) ! dN(1,7) = 1./8.*(1.)*(1.+h)*(1.+r) ! dN(1,8) = 1./8.*(-1.)*(1.+h)*(1.+r) ! ! ! ! ! dN_dh dN(2,1) = 1./8.*(1.-g)*(-1.)*(1.-r) ! dN(2,2) = 1./8.*(1.+g)*(-1.)*(1.-r) ! dN(2,3) = 1./8.*(1.+g)*(1.)*(1.-r) ! dN(2,4) = 1./8.*(1.-g)*(1.)*(1.-r) ! dN(2,5) = 1./8.*(1.-g)*(-1.)*(1.+r) ! dN(2,6) = 1./8.*(1.+g)*(-1.)*(1.+r) ! dN(2,7) = 1./8.*(1.+g)*(1.)*(1.+r) ! dN(2,8) = 1./8.*(1.-g)*(1.)*(1.+r) ! ! ! dN_dr dN(3,1) = 1./8.*(1.-g)*(1.-h)*(-1.) ! dN(3,2) = 1./8.*(1.+g)*(1.-h)*(-1.) ! dN(3,3) = 1./8.*(1.+g)*(1.+h)*(-1.) ! dN(3,4) = 1./8.*(1.-g)*(1.+h)*(-1.) ! dN(3,5) = 1./8.*(1.-g)*(1.-h)*(1.) ! dN(3,6) = 1./8.*(1.+g)*(1.-h)*(1.) ! dN(3,7) = 1./8.*(1.+g)*(1.+h)*(1.) ! dN(3,8) = 1./8.*(1.-g)*(1.+h)*(1.) ! ! ! ! ! ! return end subroutine C3D8_N_dN ! ! ! ! ! ! ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D10 subroutine C3D10_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D10 element N(1) = (2.*(1.-g-h-r)-1.)*(1.-g-h-r) ! N(2) = (2.*g - 1.)*g ! N(3) = (2.*h - 1.)*h ! N(4) = (2.*r - 1.)*r ! N(5) = 4.*(1.-g-h-r)*g ! N(6) = 4.*g*h ! N(7) = 4.*(1.-g-h-r)*h ! N(8) = 4.*(1.-g-h-r)*r ! N(9) = 4.*g*r ! N(10) = 4.*h*r ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D10 element ! dN_dg dN(1,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(1,2) = (2.*(1.))*g + (2.*g - 1.)*(1.) ! dN(1,3) = 0. ! dN(1,4) = 0. ! dN(1,5) = 4.*(-1.)*g + 4.*(1.-g-h-r)*(1.) ! dN(1,6) = 4.*h ! dN(1,7) = 4.*(-1.)*h ! dN(1,8) = 4.*(-1.)*r ! dN(1,9) = 4.*(1.)*r ! dN(1,10) = 0. ! ! ! ! ! dN_dh dN(2,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(2,2) = 0. ! dN(2,3) = (2.*(1.))*h + (2.*h - 1.)*(1.) ! dN(2,4) = 0. ! dN(2,5) = 4.*(-1.)*g ! dN(2,6) = 4.*g*(1.) ! dN(2,7) = 4.*(-1.)*h + 4.*(1.-g-h-r)*(1.) ! dN(2,8) = 4.*(-1.)*r ! dN(2,9) = 0. ! dN(2,10) = 4.*(1.)*r ! ! ! ! dN_dr dN(3,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(3,2) = 0. ! dN(3,3) = 0. ! dN(3,4) = (2.*(1.))*r + (2.*r - 1.)*(1.) ! dN(3,5) = 4.*(-1.)*g ! dN(3,6) = 0. ! dN(3,7) = 4.*(-1.)*h ! dN(3,8) = 4.*(-1.)*r + 4.*(1.-g-h-r)*(1.) ! dN(3,9) = 4.*g*(1.) ! dN(3,10) = 4.*h*(1.) ! ! ! ! ! ! ! return end subroutine C3D10_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D15 subroutine C3D15_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D15 element N(1) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.-r)-(1.-g-h)*(1.-r**2)) ! N(2) = 1./2.*(g*(2.*g-1.)*(1.-r)-g*(1.-r**2)) ! N(3) = 1./2.*(h*(2.*h-1.)*(1.-r)-h*(1.-r**2)) ! N(4) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.+r)-(1.-g-h)*(1.-r**2)) ! N(5) = 1./2.*(g*(2.*g-1.)*(1.+r)-g*(1.-r**2)) ! N(6) = 1./2.*(h*(2.*h-1.)*(1.+r)-h*(1.-r**2)) ! N(7) = 2.*(1.-g-h)*g*(1.-r) ! N(8) = 2.*g*h*(1.-r) ! N(9) = 2.*h*(1.-g-h)*(1.-r) ! N(10) = 2.*(1.-g-h)*g*(1.+r) ! N(11) = 2.*g*h*(1.+r) ! N(12) = 2.*h*(1.-g-h)*(1.+r) ! N(13) = (1.-g-h)*(1.-r**2) ! N(14) = g*(1.-r**2) ! N(15) = h*(1.-r**2) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D15 element ! dN_dg dN(1,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2. ! dN(1,2) = ((r - 1.)*(r - 4.*g + 2.))/2. ! dN(1,3) = 0. ! dN(1,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2. ! dN(1,5) = ((r + 1.)*(4.*g + r - 2.))/2. ! dN(1,6) = 0. ! dN(1,7) = 2.*(r - 1.)*(2.*g + h - 1.) ! dN(1,8) = -2.*h*(r - 1.) ! dN(1,9) = 2.*h*(r - 1.) ! dN(1,10) = -2.*(r + 1.)*(2.*g + h - 1.) ! dN(1,11) = 2.*h*(r + 1.) ! dN(1,12) = -2.*h*(r + 1.) ! dN(1,13) = r**2 - 1. ! dN(1,14) = 1. - r**2 ! dN(1,15) = 0. ! ! ! ! dN_dh dN(2,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2. ! dN(2,2) = 0. ! dN(2,3) = ((r - 1.)*(r - 4.*h + 2.))/2. ! dN(2,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2. ! dN(2,5) = 0. ! dN(2,6) = ((r + 1.)*(4.*h + r - 2.))/2. ! dN(2,7) = 2.*g*(r - 1.) ! dN(2,8) = -2.*g*(r - 1.) ! dN(2,9) = 2.*(r - 1.)*(g + 2.*h - 1.) ! dN(2,10) = -2.*g*(r + 1.) ! dN(2,11) = 2.*g*(r + 1.) ! dN(2,12) = -2.*(r + 1.)*(g + 2.*h - 1.) ! dN(2,13) = r**2 - 1. ! dN(2,14) = 0. ! dN(2,15) = 1. - r**2 ! ! ! ! dN_dr dN(3,1) = -((g + h - 1.)*(2.*g + 2.*h + 2.*r - 1.))/2. ! dN(3,2) = (g*(2.*r - 2.*g + 1.))/2. ! dN(3,3) = (h*(2.*r - 2.*h + 1.))/2. ! dN(3,4) = ((g + h - 1.)*(2.*g + 2.*h - 2.*r - 1.))/2. ! dN(3,5) = (g*(2.*g + 2.*r - 1.))/2. ! dN(3,6) = (h*(2.*h + 2.*r - 1.))/2. ! dN(3,7) = g*(2.*g + 2.*h - 2.) ! dN(3,8) = -2.*g*h ! dN(3,9) = 2.*h*(g + h - 1.) ! dN(3,10) = -g*(2.*g + 2.*h - 2.) ! dN(3,11) = 2.*g*h ! dN(3,12) = -2.*h*(g + h - 1.) ! dN(3,13) = 2.*r*(g + h - 1.) ! dN(3,14) = -2.*g*r ! dN(3,15) = -2.*h*r ! ! ! ! ! ! ! ! return end subroutine C3D15_N_dN ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D20 subroutine C3D20_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D20 element N(1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.)*(g + h + r + 2.) ! N(2) = -(g/8. + 1./8.)*(h - 1.)*(r - 1.)*(h - g + r + 2.) ! N(3) = -(g/8. + 1./8.)*(h + 1.)*(r - 1.)*(g + h - r - 2.) ! N(4) = -(g/8. - 1./8.)*(h + 1.)*(r - 1.)*(g - h + r + 2.) ! N(5) = -(g/8. - 1./8.)*(h - 1.)*(r + 1.)*(g + h - r + 2.) ! N(6) = -(g/8. + 1./8.)*(h - 1.)*(r + 1.)*(g - h + r - 2.) ! N(7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.)*(g + h + r - 2.) ! N(8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.)*(g - h - r + 2.) ! N(9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r - 1.) ! N(10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.) ! N(11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.) ! N(12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r - 1.) ! N(13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.) ! N(14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.) ! N(17) = -(r/4. - 1./4.)*(g - 1.)*(h - 1.)*(r + 1.) ! N(18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.) ! N(19) = -(r/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.) ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D20 element ! dN_dg dN(1,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (h - 1.)*(r - 1.)*(g + h + r + 2.)/8. ! dN(1,2) = (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (h - 1.)*(r - 1.)*(h - g + r + 2.)/8. ! dN(1,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (h + 1.)*(r - 1.)*(g + h - r - 2.)/8. ! dN(1,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (h + 1.)*(r - 1.)*(g - h + r + 2.)/8. ! dN(1,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (h - 1.)*(r + 1.)*(g + h - r + 2.)/8. ! dN(1,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (h - 1.)*(r + 1.)*(g - h + r - 2.)/8. ! dN(1,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (h + 1.)*(r + 1.)*(g + h + r - 2.)/8. ! dN(1,8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.) + + (h + 1.)*(r + 1.)*(g - h - r + 2.)/8. ! dN(1,9) = - (g/4. - 1./4.)*(h - 1.)*(r - 1.) - + (g + 1.)*(h - 1.)*(r - 1.)/4. ! dN(1,10) = (h/4. - 1./4.)*(h + 1.)*(r - 1.) dN(1,11) = (g/4. - 1./4.)*(h + 1.)*(r - 1.) + + (g + 1.)*(h + 1.)*(r - 1.)/4. ! dN(1,12) = -(h/4. - 1./4.)*(h + 1.)*(r - 1.) ! dN(1,13) = (g/4. - 1./4.)*(h - 1.)*(r + 1.) + + (g + 1.)*(h - 1.)*(r + 1.)/4. ! dN(1,14) = -(h/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,15) = - (g/4. - 1./4.)*(h + 1.)*(r + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(1,16) = (h/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,17) = -(r/4. - 1./4.)*(h - 1.)*(r + 1.) ! dN(1,18) = (r/4. - 1./4.)*(h - 1.)*(r + 1.) ! dN(1,19) = -(r/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,20) = (r/4. - 1./4.)*(h + 1.)*(r + 1.) ! ! ! ! dN_dh dN(2,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (g/8. - 1./8.)*(r - 1.)*(g + h + r + 2.) ! dN(2,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (g/8. + 1./8.)*(r - 1.)*(h - g + r + 2.) ! dN(2,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (g/8. + 1./8.)*(r - 1.)*(g + h - r - 2.) ! dN(2,4) = (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (g/8. - 1./8.)*(r - 1.)*(g - h + r + 2.) ! dN(2,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (g/8. - 1./8.)*(r + 1.)*(g + h - r + 2.) ! dN(2,6) = (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (g/8. + 1./8.)*(r + 1.)*(g - h + r - 2.) ! dN(2,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (g/8. + 1./8.)*(r + 1.)*(g + h + r - 2.) ! dN(2,8) = (g/8. - 1./8.)*(r + 1.)*(g - h - r + 2.) - + (g/8. - 1./8.)*(h + 1.)*(r + 1.) ! dN(2,9) = -(g/4. - 1./4.)*(g + 1.)*(r - 1.) ! dN(2,10) = (h/4. - 1./4.)*(g + 1.)*(r - 1.) + + (g + 1.)*(h + 1.)*(r - 1.)/4. ! dN(2,11) = (g/4. - 1./4.)*(g + 1.)*(r - 1.) ! dN(2,12) = - (h/4. - 1./4.)*(g - 1.)*(r - 1.) - + (g - 1.)*(h + 1.)*(r - 1.)/4. ! dN(2,13) = (g/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,14) = - (h/4. - 1./4.)*(g + 1.)*(r + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(2,15) = -(g/4. - 1./4.)*(g + 1.)*(r + 1.) dN(2,16) = (h/4. - 1./4.)*(g - 1.)*(r + 1.) + + (g - 1.)*(h + 1.)*(r + 1.)/4. ! dN(2,17) = -(r/4. - 1./4.)*(g - 1.)*(r + 1.) ! dN(2,18) = (r/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,19) = -(r/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,20) = (r/4. - 1./4.)*(g - 1.)*(r + 1.) ! ! ! ! dN_dr dN(3,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (g/8. - 1./8.)*(h - 1.)*(g + h + r + 2.) ! dN(3,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (g/8. + 1./8.)*(h - 1.)*(h - g + r + 2.) ! dN(3,3) = (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (g/8. + 1./8.)*(h + 1.)*(g + h - r - 2.) ! dN(3,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (g/8. - 1./8.)*(h + 1.)*(g - h + r + 2.) ! dN(3,5) = (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (g/8. - 1./8.)*(h - 1.)*(g + h - r + 2.) ! dN(3,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (g/8. + 1./8.)*(h - 1.)*(g - h + r - 2.) ! dN(3,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (g/8. + 1./8.)*(h + 1.)*(g + h + r - 2.) ! dN(3,8) = (g/8. - 1./8.)*(h + 1.)*(g - h - r + 2.) - + (g/8. - 1./8.)*(h + 1.)*(r + 1.) ! dN(3,9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.) ! dN(3,10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.) ! dN(3,13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.) ! dN(3,14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.) ! dN(3,17) = - (r/4. - 1./4.)*(g - 1.)*(h - 1.) - + (g - 1.)*(h - 1.)*(r + 1.)/4. ! dN(3,18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.) + + (g + 1.)*(h - 1.)*(r + 1.)/4. ! dN(3,19) = - (r/4. - 1./4.)*(g + 1.)*(h + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(3,20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.) + + (g - 1.)*(h + 1.)*(r + 1.)/4. ! ! ! ! ! ! ! ! return end subroutine C3D20_N_dN ! ! ! ! ! ! ! ! ! ! end module meshprop ================================================ FILE: Example - Residual deformation/slip.f ================================================ ! Oct. 6th, 2022 ! Eralp Demir ! Slip laws ! 1. sinh law ! 2. double exponent law ! 3. power law module slip implicit none contains ! ! subroutine sinhslip(Schmid_0, + Schmid,SchmidxSchmid, + tau,X,tauc,rhofor, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot, + dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB use utilities, only : gmatvec6 use errors, only: error implicit none ! Schmid tensor at the intermediate config. (or undeformed) real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Forest dislocation density real(8), intent(in) :: rhofor(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! variables used within this subroutine integer :: is real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0, + DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav real(8) :: abstau, signtau ! ! ! gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! ! ! ! Obtain slip parameters ! constant alpha alpha0 = slipparam(1) ! constant beta beta0 = slipparam(2) ! rhom0 - mobile dislocation density rhom0 = slipparam(4) ! DeltaF - activation energy to overcome Pierls barrier DeltaF = slipparam(5) ! nu0 - attempt frequency nu0 = slipparam(6) ! gamma0 - multiplier for activation volume ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta gamma0 = slipparam(7)*1.d-12 ! AV0 - activation volume (if defined not=0) ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta AV0 = slipparam(8)*1.d-12 ! ! ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! psi - fraction of mobile dislocations ! If there is no irradiation if (irradiationmodel == 0) then ! psi = slipparam(3) ! elseif (irradiationmodel == 1) then ! psi = irradiationparam(3) ! elseif (irradiationmodel == 2) then ! psi = slipparam(3) ! endif ! ! ! Scale mobile dislocation density rhom = psi * rhom0 ! ! endif ! ! ! ! Pmat=0.; Lp = 0.; Dp = 0. ! Loop through slip systems do is = 1,nslip ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! ! Outer multipler "alpha" calculation: ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T) ! ! alpha is defined as a constant else ! alpha = alpha0 ! endif ! ! ! ! Activation volume calculation: ! ! if AV is defined parametrically if (AV0 == 0.) then ! ! if (useaveragestatevars == 0) then ! ! average spacing based on forest densities lambda = 1./sqrt(rhofor(is)) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! elseif (useaveragestatevars == 1) then ! ! average forest density rhoav = sum(rhofor)/nslip ! ! average spacing lambda = 1./sqrt(rhoav) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! endif ! ! AV is defined as a constant else ! ! AV = AV0 * burgerv(is)**3. ! ! ! end if ! ! ! THESE CHECKS SHALL BE PLACED TO INITIALIZATION! !! Check for zero activation volume ! if (AV == 0.) then ! call error(8) ! end if ! ! ! ! ! Inner multiplier "beta" calculation: ! ! if beta is defined parametrically if (beta0 == 0.) then ! ! ! beta = AV/KB/T ! ! ! ! beta is defined as a constant else ! beta = beta0 ! ! endif ! ! ! ! c/a ratio correction for HCP if(iphase == 3) then ! Correction by C. Hardie - 26.05.2022 ! This correction needs to be done if activation volume ! IS NOT DEFINED PARAMETRICALLY, because it is already taken into account then! if (AV0 /= 0.0) then ! Corrected by A. Pechero - 23.02.2023 ! same burgers magnitude for 1st-12th slip systems ! changes only if slip system is greater than 12th if (is > 12) then alpha = caratio*caratio*alpha beta = caratio*caratio*beta endif end if end if ! ! This is critical threshold if (abstau >= tauc(is)) then ! ! slip rate gammadot(is) = alpha* + sinh(beta*(abstau-tauc(is)))*signtau ! ! dgammadot_dtau(is) = alpha*beta* + cosh(beta*(abstau-tauc(is))) ! ! dgammadot_dtauc(is) = -alpha*beta* + cosh(beta*(abstau-tauc(is)))*signtau ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! ! Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! Update plastic velocity gradient Dp = Dp + gammadot(is)*Schmid(is,:,:) ! ! ! end if ! end do ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! end subroutine sinhslip ! ! ! ! ! ! ! ! ! ! ! Zhengxuan Fan & Serge Kruch (2020) A comparison of different crystal ! plasticity finite-element models on the simulation of nickel alloys, ! Materials at High Temperatures, 37:5, 328-339, DOI: 10.1080/09603409.2020.1801951 ! subroutine doubleexpslip(Schmid_0, + Schmid,SchmidxSchmid, + tau,X,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot,dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB, smallnum use utilities, only : gmatvec6 implicit none ! Schmid tensor at the intermediate config. (or undeformed) real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! variables used within this subroutine integer :: is real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, ratio real(8) :: abstau, signtau ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! Inner exponent (p) p = slipparam(2) ! Outer exponent (q) q = slipparam(3) ! Activation energy for octahedral slip (J) Foct = slipparam(4) ! Activation energy for cubic slip (J) Fcub = slipparam(5) ! ! ! Pmat = 0.; Lp = 0.; Dp = 0. gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! Contribution to Lp of all slip systems do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! RSS/CRSS ratio ratio=abstau/tauc(is) ! ! Avoid negative values before elevating to power q if (ratio >= 1.0) then ! gammadot(is) = signtau*gammadot0 !*exp(-dF/(kB*CurrentTemperature)) ! ! Standard case elseif (ratio /= 0.) then ! ! Activation energy DeltaF=Foct ! ! Cubic slip case with a different activation energy ! If cubic slip systems are defined if (cubicslip == 1) then ! For cubic slip systems: 13-..-18 if (is > 12) then DeltaF=Fcub end if endif ! ! ! Strain rate due to thermally activated glide (rate dependent plasticity) gammadot(is) = signtau*gammadot0* + exp(-(DeltaF/KB/T)*((1.-(ratio**p))**q)) ! if (abs(gammadot(is)) > smallnum) then ! ! Calculate derivative d ( gammadot(i) ) / d ( tau(i) ) dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q + *((1.- (ratio**p))**(q-1.))*p/tauc(is)*(ratio**(p-1.)) ! ! ! ! Calculate derivative d ( gammadot(i) ) / d ( tauc(i) ) dgammadot_dtauc(is) = -abs(gammadot(is))*DeltaF/KB/T*q + *((1.- (ratio**p))**(q-1.))*p/tauc(is)*(ratio**p)*signtau ! else gammadot(is)=0. end if ! ! endif ! ! ! ! ! ! Contribution to Jacobian Pmat = Pmat + + dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:) ! ! Plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! Update plastic velocity gradient Dp = Dp + gammadot(is)*Schmid(is,:,:) ! end do ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! end subroutine doubleexpslip ! ! ! ! ! ! ! ! ! ! ! ! subroutine powerslip(Schmid_0, + Schmid,SchmidxSchmid, + tau,X,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot,dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use utilities, only : gmatvec6 implicit none ! Schmid tensor at the intermediate config. (or undeformed) real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! Variables used within this subroutine integer :: is, i, j real(8) :: gammadot0, power_n, constant_n, slope_n, ratio real(8) :: abstau, signtau ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! rate sensitivity exponent- constant (n) constant_n = slipparam(2) ! temperature dependence of exponent (dn/dT) slope_n = slipparam(3) ! ! ! ! ! Temperature dependence of rate sensitivity exponent power_n = slope_n * T + constant_n ! ! Pmat = 0.; Lp = 0.; Dp = 0. gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! ratio = abstau / tauc(is) ! ! gammadot(is) = gammadot0*ratio**power_n*signtau ! ! ! dgammadot_dtau(is) = gammadot0*power_n + /tauc(is)*ratio**(power_n-1.0) ! ! dgammadot_dtauc(is) = -gammadot0*power_n + /tauc(is)*ratio**(power_n)*signtau ! ! Pmat = Pmat + + dt*dgammadot_dtau(is)*SchmidxSchmid(is,:,:) ! ! Update plastic velocity gradient Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! Update plastic velocity gradient Dp = Dp + gammadot(is)*Schmid(is,:,:) ! ! end do ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! ! end subroutine powerslip ! ! ! ! ! ! ! ! end module slip ================================================ FILE: Example - Residual deformation/slipreverse.f ================================================ ! Oct. 6th, 2023 ! Chris Hardie ! Reverse Slip laws ! 1. sinh law ! 2. double exponent law ! 3. power law module slipreverse implicit none contains ! ! ! ! subroutine doubleexpslipreverse( + Schmid,SchmidxSchmid, + tau, X, abstau,signtau,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Pmat,absgammadot,gammadot, + dtau_dgammadot,dgammadot_dtau) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Absolute value of slip real(8), intent(in) :: absgammadot(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! slip rates real(8), intent(in) :: gammadot(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! Value of RSS real(8), intent(inout) :: tau(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! absolute value of RSS real(8), intent(out) :: abstau(nslip) ! ! variables used within this subroutine integer :: is real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, xx, u ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! Inner exponent (p) p = slipparam(2) ! Outer exponent (q) q = slipparam(3) ! Activation energy for octahedral slip (J) Foct = slipparam(4) ! Activation energy for cubic slip (J) Fcub = slipparam(5) ! ! ! Pmat = 0.; Lp = 0. ! ! Contribution to Lp of all slip systems do is=1,nslip ! ! RSS/CRSS ratio xx=abstau(is)/tauc(is) ! ! Activation energy DeltaF=Foct ! ! Cubic slip case with a different activation energy ! If cubic slip systems are defined if (cubicslip == 1) then ! For cubic slip systems: 13-..-18 if (is > 12) then DeltaF=Fcub end if endif ! ! u=-log(absgammadot(is)/gammadot0)*KB*T/DeltaF ! abstau(is)=max(tauc(is)*(1-u**(1/q))**(1/p), + tauc(is)) ! tau(is)=abstau(is)*signtau(is) ! ! if (absgammadot(is)>0.0) then dtau_dgammadot(is,is) = (KB*T*tauc(is)/ + (absgammadot(is)*DeltaF*q*p))* + (1-u**(1/q))**((1-p)/p)*u**((1-q)/q) else dtau_dgammadot(is,is) = 0.0 end if ! ! ! Calculate derivative d ( gammadot(i) ) / d ( tau(i) ) dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q + *(1.- xx**p)**(q-1.)*p/tauc(is)*xx**(p-1.) ! ! ! ! Contribution to Jacobian Pmat = Pmat + + dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:) ! ! Plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! end do ! ! return end subroutine doubleexpslipreverse ! ! ! ! subroutine powerslipreverse( + Schmid,SchmidxSchmid, + tau, X, abstau,signtau,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,absgammadot, gammadot, + dtau_dgammadot, + dgammadot_dtau, Pmat) ! ! use userinputs, only : useaveragestatevars, + maxnparam, maxnslip use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(inout) :: tau(nslip) ! absolute value of RSS real(8), intent(inout) :: abstau(nslip) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! crss at the current time step real(8), intent(in) :: X(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(inout) :: gammadot(nslip) ! absolute slip rates real(8), intent(inout) :: absgammadot(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! variables used within this subroutine real(8) :: gammadot0, constant_n, slope_n, power_n ! absolute ratio of RSS/CRSS real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max integer :: is ! dtau_dgammadot = 0. dgammadot_dtau = 0. ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! rate sensitivity exponent- constant (n) constant_n = slipparam(2) ! temperature dependence of exponent (dn/dT) slope_n = slipparam(3) ! ! ! ! ! Temperature dependence of rate sensitivity exponent power_n = slope_n * T + constant_n ! ! xtau=abstau/tauc xtau_max=maxval(xtau) xtau_norm=xtau/xtau_max ! Lp = 0. ! Loop through slip systems do is = 1,nslip ! ! This is critical threshold if (((abstau(is) >= tauc(is)).OR. + (absgammadot(is) .GT. 1.0e-6))) then ! ! shear stress as a function of slip rate ! dgammadot_dtau(is) = + (power_n*gammadot0/tauc(is))*xtau(is)**(power_n-1) ! abstau(is)= + max(tauc(is)*(absgammadot(is)/gammadot0)**(1/power_n),tauc(is)) ! tau(is)=abstau(is)*signtau(is) ! ! if (absgammadot(is)>0.0) then dtau_dgammadot(is,is) = + (tauc(is)/power_n*gammadot0)* + (absgammadot(is)/gammadot0)**((1-power_n)/power_n) else dtau_dgammadot(is,is) = 0.0 end if ! ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! else ! ! tau(is) = tauc(is)*signtau(is) ! absgammadot(is)=0.0 ! gammadot(is)=0.0 ! dtau_dgammadot(is,is) = 0. ! end if ! end do ! ! return end subroutine powerslipreverse ! ! ! ! ! ! ! subroutine sinhslipreverse( + Schmid, SchmidxSchmid, signtau, + abstau,tau, X,tauc,rhofor, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,absgammadot,gammadot, + dtau_dgammadot, dgammadot_dtau, Pmat) ! use userinputs, only : useaveragestatevars, + maxnparam, maxnslip use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(inout) :: tau(nslip) ! absolute value of RSS real(8), intent(inout) :: abstau(nslip) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Forest dislocation density real(8), intent(in) :: rhofor(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! crss at the current time step real(8), intent(in) :: X(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(inout) :: gammadot(nslip) ! absolute slip rates real(8), intent(inout) :: absgammadot(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! Derivative of slip rates wrto rss real(8) :: dgammadot_dtau(nslip) ! variables used within this subroutine ! absolute ratio of RSS/CRSS real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max integer :: is real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0, + DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav ! dtau_dgammadot = 0. dgammadot_dtau = 0. ! ! Obtain slip parameters ! constant alpha alpha0 = slipparam(1) ! constant beta beta0 = slipparam(2) ! rhom0 - mobile dislocation density rhom0 = slipparam(4) ! DeltaF - activation energy to overcome Pierls barrier DeltaF = slipparam(5) ! nu0 - attempt frequency nu0 = slipparam(6) ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) ! Unit conversion factor for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta gamma0 = slipparam(7)*1.d-12 ! AV0 - activation volume (if defined not=0) ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta AV0 = slipparam(8)*1.d-12 ! ! ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! psi - fraction of mobile dislocations ! If there is no irradiation if (irradiationmodel == 0) then ! psi = slipparam(3) ! elseif (irradiationmodel == 1) then ! psi = irradiationparam(3) elseif (irradiationmodel == 2) then ! psi = slipparam(3) ! endif ! ! ! Scale mobile dislocation density rhom = psi * rhom0 ! ! endif ! ! ! Pmat = 0. Lp = 0. ! Loop through slip systems do is = 1,nslip ! ! ! alpha calculation ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T) ! ! alpha is defined as a constant else ! alpha = alpha0 ! endif ! ! ! ! Activation volume calculation: ! ! if AV is defined parametrically if (AV0 == 0.) then ! ! if (useaveragestatevars == 0) then ! ! average spacing based on forest densities lambda = 1./sqrt(rhofor(is)) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! elseif (useaveragestatevars == 1) then ! ! average forest density rhoav = sum(rhofor)/nslip ! ! average spacing lambda = 1./sqrt(rhoav) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! endif ! ! AV is defined as a constant else ! ! AV = AV0 * burgerv(is)**3. ! ! ! end if ! ! ! ! ! beta calculation ! ! if beta is defined parametrically if (beta0 == 0.) then ! ! beta = AV/KB/T ! ! beta is defined as a constant else ! beta = beta0 ! ! endif ! ! ! ! ! c/a ratio correction for HCP if(iphase == 3) then ! same burgers magnitude for first 1-6 and 25-30 ! change only 7-24 if (is > 12) then alpha = caratio*caratio*alpha beta = caratio*caratio*beta endif end if ! xtau=abstau/tauc xtau_max=maxval(xtau) xtau_norm=xtau/xtau_max ! ! This is critical threshold if (((abstau(is) >= tauc(is)) + .AND. (xtau_norm(is) .GT. 0.0)) + .OR. (absgammadot(is) .GT. 1.0e-6)) then ! ! shear stress as a function of slip rate ! dgammadot_dtau(is) = alpha*beta* + cosh(beta*(abstau(is)-tauc(is))) abstau(is)=tauc(is)+ + (1/beta)*asinh(absgammadot(is)/alpha) ! tau(is)=abstau(is)*signtau(is) ! ! dtau_dgammadot(is,is) = 1/(alpha*beta* + sqrt(absgammadot(is)**2*alpha**-2+1)) ! ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! else ! ! tau(is) = tauc(is)*signtau(is) ! absgammadot(is)=0.0 ! gammadot(is)=0.0 ! dtau_dgammadot(is,is) = 0. ! end if end do ! ! return end subroutine sinhslipreverse ! ! ! ! end module slipreverse ================================================ FILE: Example - Residual deformation/straingradients.f ================================================ ! Jan. 1st, 2023 ! Eralp Demir ! module straingradients implicit none ! contains ! ! ! ! ! ! GND model-1 ! GND calculation using curl of (Fp) together with L2 approximation ! Cumulative (total) calculation of GNDs ! Shutting down non-active slip systems followed by singular value decompostion ! Proposed by Chris Hardie subroutine gndmodel1 use userinputs, only : maxnslip, + gndhomogenization, gndthreshold use globalvariables, only : numel, numdim, numpt, nnpel, + materialid, numslip_all, numscrew_all, screw_all, + slip2screw_all, burgerv_all, dirc_0_all, trac_0_all, gradip2ip, + eijk, I3, statev_curvature, statev_Lambda, statev_gammasum, + statev_Fp, statev_gmatinv_0, statev_gnd, statev_gnd_t use utilities, only: matvec9 implicit none ! Local variables integer matid, nslip, nscrew ! Some variables are allotable since material type can vary hence ! the NUMBER OF SLIP SYSTEMS can alter within the mesh real(8) :: burgerv(maxnslip) real(8) :: gammasum(maxnslip) integer :: screw(maxnslip) real(8) :: slip2screw(maxnslip,maxnslip) real(8) :: dirc_0(maxnslip,3) real(8) :: trac_0(maxnslip,3) ! real(8) :: dirs(maxnslip,3) real(8) :: tras(maxnslip*2,3) real(8) :: Bmat(maxnslip*2,9) real(8) :: rhoGND(maxnslip*2) real(8) :: drhoGND(maxnslip*2) ! real(8) :: grad_invN(3,numpt), grad(3,3,3) real(8) :: Lambda(3,3), sum, Lambda_vec(9) real(8) :: kappa(3,3), kappa_vec(9), trace ! real(8) :: Fp_ip(numpt,3,3) real(8) :: gmatinv(3,3) ! integer :: i, j, k, l integer :: ie, ip, is ! ! ! ! ! Loop through the elements do ie=1,numel ! ! Reset arrays burgerv=0.; screw=0 dirc_0=0.; trac_0=0. dirs=0.; tras=0. slip2screw=0. ! ! ! ! ! Assume the same material for al the Gaussian points of an element matid = materialid(ie,1) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! Screw systems screw(1:nscrew) = screw_all(matid,1:nscrew) ! ! Slip to screw mapping slip2screw(1:nscrew,1:nslip) = + slip2screw_all(matid,1:nscrew,1:nslip) ! ! Burgers vector burgerv(1:nslip) = burgerv_all(matid,1:nslip) ! ! undeformed slip direction dirc_0(1:nslip,1:3) = dirc_0_all(matid,1:nslip,1:3) ! ! undeformed line direction trac_0(1:nslip,1:3) = trac_0_all(matid,1:nslip,1:3) ! ! ! Store Fp for each IP ! Plastic part of the deformation gradient Fp_ip = statev_Fp(ie,1:numpt,1:3,1:3) ! ! ! Calculate the gradient of Fp ! Calculate the gradients using gradient operator do ip = 1, numpt ! ! ! Reset arrays Bmat=0.; rhoGND=0.; gammasum=0. ! ! Crystal to sample transformation matrix gmatinv = statev_gmatinv_0(ie,ip,:,:) ! ! ! Slip rate per slip system gammasum(1:nslip) = statev_gammasum(ie,ip,1:nslip) ! ! do is = 1, nslip ! Transform slip directions to sample reference dirs(is,:) = matmul(gmatinv, dirc_0(is,:)) ! ! Transform line directions to sample reference tras(is,:) = matmul(gmatinv, trac_0(is,:)) ! end do ! ! ! Calculate Bmatrix - using singular value decomposition ! Arsenlis, A. and Parks, D.M., 1999. Acta materialia, 47(5), pp.1597-1611. call calculateBmatPINV(nslip,nscrew, + screw(1:nscrew), slip2screw(1:nscrew,1:nslip), + dirs(1:nslip,:),tras(1:nslip,:),burgerv(1:nslip), + gammasum(1:nslip), Bmat(1:nslip+nscrew,1:9)) ! ! ! Use gradients per integration point if (gndhomogenization == 0) then ! grad_invN = gradip2ip(ie,ip,:,:) ! ! Use the gradient at the element center else ! grad_invN = gradip2ip(ie,numpt+1,:,:) ! end if ! ! ! ! ! grad(k,i,j) = Fp(i,j,k) do k = 1,3 do j = 1,3 do i = 1,3 grad(k,i,j) = + dot_product(grad_invN(k,:),Fp_ip(:,i,j)) end do end do end do ! ! ! calculate curl ! NOTE THE NEGATIVE SIGN AND TRANSPOSE ARE MISSING IN THE ORIGINAL REFERENCE ! lambda(l,k) = -eijk(i,j,k) * Fp(l,j,i) ! index "i" refers to the gradient direction do k = 1,3 do l = 1,3 sum = 0. do i = 1, 3 do j = 1, 3 sum = sum - eijk(i,j,k)*grad(i,l,j) !! earlier version (no "-" sign) ! sum = sum + eijk(i,j,k)*grad(i,l,j) end do end do Lambda(l,k) = sum end do end do ! ! Vectorize the incompatibility call matvec9(Lambda,Lambda_vec) ! ! ! Assign the Incompatibility statev_Lambda(ie,ip,:) = Lambda_vec ! ! ! Trace trace = Lambda(1,1) + Lambda(2,2) + Lambda(3,3) ! ! Calculate curvature (negative transpose + trace term) kappa = -transpose(Lambda) + I3 * trace / 2. ! ! Convert curvature to vector call matvec9(kappa,kappa_vec) ! ! ! Assign curvature statev_curvature(ie,ip,1:9) = kappa_vec(1:9) ! ! ! ! ! Reset arrays rhoGND=0.; drhoGND=0. ! ! Compute the dislocation densities using L2 minimization rhoGND(1:nslip+nscrew) = + matmul(Bmat(1:nslip+nscrew,1:9),Lambda_vec) ! ! ! Calculate the increment of GNDs drhoGND(1:nslip+nscrew) = + rhoGND(1:nslip+nscrew) - statev_gnd_t(ie,ip,1:nslip+nscrew) ! ! ! Check for a threshold do is = 1, nslip+nscrew if (abs(drhoGND(is))nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b ! end do ! ! L2 solution by KKT condition ! Assign zero initially KKTmat = 0. ! Assign the identity part do i = 1, nslip+nscrew KKTmat(i,i)=2. end do ! ! Assign A^T - upper right part KKTmat(1:nslip+nscrew,nslip+nscrew+1:nslip+nscrew+9) = + transpose(Amat) ! ! Assign A - lower left part KKTmat(nslip+nscrew+1:nslip+nscrew+9,1:nslip+nscrew) = + Amat ! ! Take the inverse call nolapinverse(KKTmat,BmatKKT,nslip+nscrew+9) ! ! Set to zero if not invertible if(any(BmatKKT /= BmatKKT)) then ! Set the outputs to zero initially BmatKKT = 0. ! error message in .dat file call error(10) end if ! ! ! ! ! ! return end subroutine calculateBmatKKT ! ! ! ! ! Calculate Bmatrix using singular value decomposition subroutine calculateBmat(nslip,nscrew,screw,dirs,tras,burgerv, + Bmat) use utilities, only : nolapinverse use errors, only: error implicit none ! number of slip systems integer, intent(in) :: nslip ! number of screw systems integer, intent(in) :: nscrew ! screw systems integer, dimension(nscrew), intent(in) :: screw ! slip direction in sample reference real(8), dimension(nslip,3), intent(in) :: dirs ! transverse (to slip) direction in sample reference real(8), dimension(nslip,3), intent(in) :: tras ! Burgers vector real(8), dimension(nslip), intent(in) :: burgerv ! Rank Deficit B-matrix real(8), dimension(nslip+nscrew,9), intent(out) :: Bmat ! ! Local variables used within this subroutine ! Note A^T*A is rank deficit real(8) :: Amat(9,nslip+nscrew) real(8) :: AmatAmatT(9,9) real(8) :: invAmatAmatT(9,9) real(8) :: s(3), l(3), b integer :: i, j, is ! ! Construct Nye's tensor Amat=0. ! Loop through dislocation configurations do i = 1, nslip+nscrew ! ! ! Slip direction ! For screws if (i>nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b ! end do ! ! ! ! ! ! Other solution (former method) ! ----------------------------------------------- ! This is preserved to check its validity ! Right pseudo inverse is used ! This is exactly the same as the inversion by singular value decomposition ! Compute the L2 coefficient AmatAmatT = matmul(Amat,transpose(Amat)) ! ! Take the inverse call nolapinverse(AmatAmatT,invAmatAmatT,9) ! ! ! Compute Bmat Bmat = matmul(transpose(Amat),invAmatAmatT) ! ! Set to zero if not invertible if(any(Bmat /= Bmat)) then ! Set the outputs to zero initially Bmat = 0. ! error message in .dat file call error(10) end if ! ! ! return end subroutine calculateBmat ! ! ! Calculate Bmatrix using singular value decomposition subroutine calculateBmatPINV(nslip,nscrew,screw,slip2screw, + dirs,tras,burgerv,gammadot,BmatPINV) use userinputs, only: slipthreshold use utilities, only: svdgeninverse use errors, only: error implicit none ! number of slip systems integer, intent(in) :: nslip ! number of screw systems integer, intent(in) :: nscrew ! screw systems integer, dimension(nscrew), intent(in) :: screw ! slip to screw mapping real(8), dimension(nscrew,nslip), intent(in) :: slip2screw ! slip direction in sample reference real(8), dimension(nslip,3), intent(in) :: dirs ! transverse (to slip) direction in sample reference real(8), dimension(nslip,3), intent(in) :: tras ! Burgers vector real(8), dimension(nslip), intent(in) :: burgerv ! Cumulative slip per slip system real(8), dimension(nslip), intent(in) :: gammadot ! Rank Deficit B-matrix real(8), dimension(nslip+nscrew,9), intent(out) :: BmatPINV ! ! Local variables used within this subroutine ! Note A^T*A is rank deficit real(8) :: Amat(9,nslip+nscrew) real(8) :: gdot_screw(nscrew) ! real(8) :: AmatTAmat(nslip+nscrew,nslip+nscrew) ! real(8) :: invAmatTAmat(nslip+nscrew,nslip+nscrew) real(8) :: s(3), l(3), b integer :: i, j, is, err ! ! Construct Nye's tensor Amat=0. ! Loop through dislocation configurations do i = 1, nslip+nscrew ! ! ! Slip direction ! For screws if (i>nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b end do ! ! ! Sum slip on each system sharing common screw types gdot_screw= matmul(slip2screw,gammadot) ! ! ! Shut down the slip systems ! that have a cumulative slip ! less than 10^-10 ! For edge type of dislocations do is = 1, nslip ! if (abs(gammadot(is)) cubicslipystem flag ! material-08: zirconium / hcp / phase-3 ! material-09: berylium / hcp / phase-3 (not ready yet) ! material-10: alpha-uranium / alphauranium / phase-4 ! material-11: copper / UKAEA / Vikram Phalke ! material-12: CuCrZr / UKAEA / Vikram Phalke ! ! ! ! ********************************************** ! ** MATERIALPARAMETERS sets the material ** ! ** constants for elasticity and plasticity ** ! ********************************************** subroutine materialparam(imat,temperature, + iphase,nslip,nscrew,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,burgerv, + tauc_0,rho_0,rhofor_0,rhosub_0, + slipmodel,slipparam,creepmodel,creepparam, + hardeningmodel,hardeningparam, + irradiationmodel,irradiationparam, + sintmat1,sintmat2,hintmat1,hintmat2, + backstressparam) use errors, only : error use userinputs, only : maxnslip, maxnparam implicit none ! ! material id integer, intent(in) :: imat ! ! ! current temperature in Kelvins real(8), intent(in) :: temperature ! ! phase id ! 1: BCC, 2: FCC, 3: HCP, 4: alpha-uranium integer, intent(out) :: iphase ! ! number of slip systems integer, intent(out) :: nslip ! ! number of screw systems integer, intent(out) :: nscrew ! ! c/a ratio for hcp crystals real(8), intent(out) :: caratio ! ! cubic slip for fcc superalloys integer, intent(out) :: cubicslip ! ! elastic stiffness matrix in the crystal reference frame real(8), intent(out) :: Cc(6,6) ! ! shear modulus for Taylor's dislocation law real(8), intent(out) :: G12 ! ! Poisson's ratio real(8), intent(out) :: v12 ! ! geometric factor for obstacle strength real(8), intent(out) :: gf ! ! thermal eigenstrain to model thermal expansion real(8), intent(out) :: alphamat(3,3) ! ! burgers vectors real(8), intent(out) :: burgerv(maxnslip) ! ! critical resolved shear stress of slip systems real(8), intent(out) :: tauc_0(maxnslip) ! ! initial ssd dislocation density real(8), intent(out) :: rho_0(maxnslip) ! ! initial forest dislocation density real(8), intent(out) :: rhofor_0 ! ! initial substructure dislocation density real(8), intent(out) :: rhosub_0 ! ! Slip model identifier ! 0: no slip (if only creep is considered) ! 1: sinh law ! 2: double exponent law ! 3: power law integer, intent(out) :: slipmodel ! ! Slip parameters ! Array size adjustable real(8), intent(out) :: slipparam(maxnparam) ! For sinh law (slipmodel=1) ! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined, ! the alpha calculation will be ignored ! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined, ! the beta calculation will be ignored ! 3: psi / fraction of mobile dislocations / [-] / alpha calculation ! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation ! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation ! 6: nu0 / attempt frequency / [1/s] / alpha calculation ! 7: gamma0 / reference slip strain / [-] / beta calculation ! ! For double exponent law (slipmodel=2) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: p / inner exponent / [-] ! 3: q / outer exponent / [-] ! 4: DeltaFoct / activation energy for octahedral slip / [J/mol] ! 5: DeltaFcub / activation energy for cubic slip / [J/mol] ! ! For power law (slipmodel=3) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: n / power exponent / [-] ! 3: dn/dT / temperature dependence of slip rate sensitivity / [1/K] ! ! ! Creep model identifier ! 0: no creep ! 1: exponential creep law ! Default value is set to 0 integer, intent(out) :: creepmodel ! Creep parameters ! Array size adjustable real(8), intent(out) :: creepparam(maxnparam) ! ! Hardening identifier ! 0: Hardening is off (tauc constant) ! 1: Voce type hardening ! 2: Linear hardening ! 3: Kocks-Mecking hardening ! 4: Kocks-Mecking hardening with substructure ! Default value is set to 0 integer, intent(out) :: hardeningmodel ! Hardening parameters ! Array size adjustable real(8), intent(out) :: hardeningparam(maxnparam) ! ! Irradiation identifier ! 0: Irradiaion is off ! 1: Irradiation is on ! Default value is set to 0 integer, intent(out) :: irradiationmodel ! Irradiation model parameters ! Array size adjustable real(8), intent(out) :: irradiationparam(maxnparam) ! 1: tau_s0: initial solute strength ! 2: gamma_s: saturation value of the cumulative slip ! 3: psi / fraction of mobile density for irradiated material for sinh law ! ! Interaction matrices ! Strength interaction between dislocations real(8), intent(out) :: sintmat1(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(out) :: sintmat2(maxnslip,maxnslip) ! Latent hardening real(8), intent(out) :: hintmat1(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8), intent(out) :: hintmat2(maxnslip,maxnslip) ! ! Slip parameters ! Array size adjustable real(8), intent(out) :: backstressparam(maxnparam) ! ! burgers vector scalars real(8) :: burger1, burger2 ! ! elastic constants scalars real(8) :: e1, e2, e3, g13, v13 real(8) :: g23, v23, v21, v31, v32 ! ! critical resolved shear stress real(8) :: xtauc1, xtauc2, xtauc3, xtauc4, xtauc5 ! ! thermal expansion coefficients real(8) :: alpha1, alpha2, alpha3 ! ! temperature in celsius real(8) :: tcelsius ! real(8) :: C11, C12, C44, cst ! ! local variable for identity martrix real(8) :: kdelta(maxnslip,maxnslip), q1, q2 ! integer :: i, j, k, is, js ! ! ! ! Set potentially unassigned parameters to zero ! Slip parameters slipparam = 0. ! Creep parameters creepparam = 0. ! Hardening parameters hardeningparam = 0. ! Irradiation parameters irradiationparam = 0. ! Backstress parameters backstressparam = 0. ! ! ! Interaction matrices ! Initially set all to zero sintmat1=0. sintmat2=0. hintmat1=0. hintmat2=0. ! do is = 1, maxnslip sintmat1(is,is)=1. sintmat2(is,is)=1. hintmat1(is,is)=1. hintmat2(is,is)=1. end do ! ! ! Temperature in Celcius tcelsius = temperature - 273.15 ! ! ! ! ! ! ! ! ! ! select material type select case(imat) ! ! custom material - bcc (i.e. ferrite) ! no temperature dependence case(1) ! ! Slip model ! sinh law slipmodel = 1 ! ! ! Phase id iphase = 1 ! ! This can be 12 or 24 nslip = 12 ! ! ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0. ! psi - fraction of mobile dislocations slipparam(3) = 0.727d-2 ! rhom0 - mobile dislocation density slipparam(4) = 0.035 ! DeltaF - activation energy slipparam(5) = 4.646312d-20 ! nu0 - attempt frequency slipparam(6) = 1.0d+11 ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) slipparam(7) = 0. ! Activation volume (factor of Burgers vector^3) slipparam(8) = 1. ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! Screw systems nscrew = 4 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 60. ! xtauc1 = 45. ! ! ! Burgers vectors [micrometers] burger1 = 2.48d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Example elastic modulus values ! ********************************************************** ! ! steel-ferrum ! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982 ! C11=230.1d3 ! C12=134.6d3 ! C44=116.6d3 ! ! steel-ferrite ! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies ! of the martensite lattice and mechanism of diffusionless transformation" ! page 1087 ! C11=233.5d3 ! C12=135.5d3 ! C44=118.0d3 ! ! ********************************************************** ! ! Cubic elastic constants [MPa] ! Value used for ferrite grains C11=233.5d3 C12=135.5d3 C44=118.0d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! custom material - fcc (i.e. copper) ! no temperature dependence case(2) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 3 ! ! copper ! Slip model parameters slipparam(1) = 1.0d-3 ! rate sensitivity exponent ! slipparam(2) = 83.333 slipparam(2) = 20. ! !! Inverse slip test parameters !! Slip model parameters ! slipparam(1) = 1.0d-9 !! rate sensitivity exponent ! slipparam(2) = 13. ! !! steel !! Slip model parameters ! slipparam(1) = 1.0d-3 !! rate sensitivity exponent ! slipparam(2) = 7.143 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! !! steel ! xtauc1 = 32. ! ! Copper xtauc1 = 16. ! !! Inverse slip test parameter ! xtauc1 = 32. ! ! Burgers vectors [micrometers] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! Example elastic modulus values ! ********************************************************** ! ! copper ! "Texture and Anisotropy", ! Cambridge University Press, 1998, page 300 ! C11=168.0d3 ! C12=121.4d3 ! C44=75.4d3 ! ! "The Mechanics of Crystals and Textured Polycrystals", ! Oxford University Press, 1993, page 16 ! C11=166.1d3 ! C12=199.0d3 wrong! correct value: 119.0d3 ! C44=75.6d3 ! ! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38 ! C11=168.3d3 ! C12=122.1d3 ! C44=75.7d3 ! ! aluminum ! "The Mechanics of Crystals and Textured Polycrystals", ! Oxford University Press, 1993, page 16 ! C11=107.3d3 ! C12=60.9d3 ! C44=28.3d3 ! ! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38 ! C11=106.75d3 ! C12=60.41d3 ! C44=28.34d3 ! ! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982 ! C11=106.43d3 ! C12=60.35d3 ! C44=28.21d3 ! ! steel-austenite ! S. Turteltaub and A.S.J. Suiker, "Transformation-induced plasticit in ferrous alloys", 2005 ! page 1765, Eq. (37) ! C11=268.5d3 ! C12=156.d3 ! C44=136.d3 ! ! steel ! C11=204.6d3 ! C12=137.7d3 ! C44=126.6d3 ! ! ********************************************************** ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model hardeningmodel = 1 ! !! Kocks-Mecking hardening with substructure evolution !! Reference: https://doi.org/10.1016/j.actamat.2010.06.021 !! !! hardening model ! hardeningmodel = 4 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. !! q - substructure ! hardeningparam(7) = 4. !! f - substructure ! hardeningparam(8) = 20. !! ksub - substructure ! hardeningparam(9) = 0.086 ! ! !! Inverse slip test parameter ! hardeningmodel = 0 ! ! ! copper ! Hardening rate - h0 hardeningparam(1)=250. ! Saturation strength for slip - ss hardeningparam(2)=190. ! Hardening exponent - a hardeningparam(3)=2.5 ! Latent hardening coefficient - q hardeningparam(4)=1.4 ! ! !! steel !! Hardening rate - h0 ! hardeningparam(1)=217.8 !! Saturation strength for slip - ss ! hardeningparam(2)=257. !! Hardening exponent - a ! hardeningparam(3)=2.5 !! Latent hardening coefficient - q ! hardeningparam(4)=1.1 ! ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! Hardening interactions - latent hardening hintmat1 = hardeningparam(4) do k = 1, int(nslip/3.) do i = 1, 3 do j = 1, 3 hintmat1(3*(k-1)+i, 3*(k-1)+j)=1. enddo enddo enddo !! ! Backstress parameter backstressparam(1) = 0.25 ! ! custom material - hcp (i.e. zirconium) ! no temperature dependence case(3) ! ! Phase id iphase = 3 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0. ! fraction of mobile dislocations slipparam(3) = 1. ! reference mobile dislocations (1/micrometer^2) slipparam(4) = 0.01 ! activation energy for slip (J) slipparam(5) = 5.127d-20 ! attempt frequency slipparam(6) = 1.d11 ! scaling for jump distance slipparam(7) = 1. ! activation volume slipparam(8) = 20.93 ! ! ! ! Geometric factor (0.1-0.5) gf = 0.22364 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! ! number of slip systems nslip = 30 ! ! Screw systems nscrew = 9 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 10. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burger1 = 3.2d-4 burger2 = 6.0d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 98.32d3 e3 = 123.28d3 g12 = 32.01d3 v12 = 0.40 v13 = 0.24 ! ! crss [MPa] xtauc1 = 187.7 ! basal xtauc2 = 140.8 ! prismatic xtauc3 = 140.8 ! pyramidal xtauc4 = 489.8 ! pyramidal-1 xtauc5 = 2449.1 ! pyramidal-2 ! ! thermal expansion coefficients [1/K] alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g13 = e3/(1.+v13)/2. g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:30) = burger2 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc3 tauc_0(13:24) = xtauc4 tauc_0(25:30) = xtauc5 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model ! linear hardening hardeningmodel = 2 ! hardening parameter (1/micrometer^2) hardeningparam(1) = 2600. ! ! irradiation model irradiationmodel = 2 ! Irradiation parameters ! Number of different types of defects irradiationparam(1) = 3. ! Number density of defects (1/micrometer^3) irradiationparam(2:4) = 2.033d+4 ! size of defects (micrometer) irradiationparam(5:7) = 1.4d-3 ! defect vectors (crystallographic directions) irradiationparam(8:10) = (/ 4.0, 6.0, 11.0 /) ! Strength interaction matrix coefficients (two independent parameters) ! when a=0 (a: reaction segment) irradiationparam(11) = 1.25 ! when a not equals 0 irradiationparam(12) = 1.875 ! Hardening (Softening) interaction matrix coefficients (two independent parameters) ! when a=0 (a: reaction segment) irradiationparam(13) = 0.5 ! when a not equals 0 irradiationparam(14) = 0. ! ! ! ! ! ! tungsten - bcc case(4) ! ! Phase id iphase = 1 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Burgers vectors [micrometers] burger1 = 2.74d-4 ! ! Slip model parameters ! Partly available in the reference https://doi.org/10.1016/j.ijplas.2018.05.001 ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0.0159 ! psi - fraction of mobile dislocations slipparam(3) = 0.727d-2 ! rhom0 - mobile dislocation density slipparam(4) = 0.035 ! DeltaF - activation energy to overcome Pierls barrier slipparam(5) = 3.524788e-20 ! nu0 - attempt frequency slipparam(6) = 1.0d11 ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) slipparam(7) = 0. ! AV0 slipparam(8) = 0. ! ! Geometric factor (0.1-0.5) gf = 0.1 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 4 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 360.0 ! 900 MPa in the reference ! ! elastic constants [MPa] e1 = 421d3 g12 = 164.4d3 v12 = 0.28 ! ! thermal expansion coefficients alpha1 = 9.5d-6 alpha2 = alpha1 alpha3 = 0.5895*alpha1 ! ! ! ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 2 hardeningparam(1) = 1000. ! ! irradiation model irradiationmodel = 1 ! irradiation parameters ! initial strength irradiationparam(1) = 750. ! solute strength saturation strain irradiationparam(2) = 0.025 ! factor for mobile density irradiationparam(3) = 3.457d-2 ! ! ! ! ! copper - fcc case(5) ! ! Phase id iphase = 2 ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.02 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 20.0 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! Burgers vectors [micrometers] burger1 = 2.55d-4 ! ! elastic constants [MPa] e1 = 66.69d3 v12 = 0.4189 g12 = 75.4d3 ! ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! thermal expansion coefficients alpha1 = 13.0d-6 alpha2 = alpha1 alpha3 = alpha1 ! ! burgerv(1:nslip)=burger1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! ! creep model creepmodel = 0 ! ! ! hardening model hardeningmodel = 0 ! ! ! irradiation model irradiationmodel = 0 ! ! ! ! carbide - fcc case(6) ! ! Phase id iphase = 2 ! ! Slip model ! power law slipmodel = 3 ! ! Slip model parameters ! Reference strain rate slipparam(1) = 1.0d-3 ! Rate sensitivity exponent slipparam(2) = 50 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 0 ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 2300.0 ! ! Burgers vectors [micrometers] burger1 = 3.5072d-4 ! ! elastic constants [MPa] e1 = 207.0d4 v12 = 0.28 ! ! thermal expansion coefficients alpha1 = 4.5d-6 alpha2 = alpha1 alpha3 = alpha1 ! ! ! elastic constants based on crystal symmetry e3 = e1 e2 = e1 v13 = v12 v23 = v12 g12 = e1/(2.0*(1.0+v12)) g13 = g12 g23 = g12 ! ! assign Burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! ! ! CMSX-4 - fcc + cubic case(7) ! ! Phase id iphase = 2 ! ! Slip model ! Double exponent law slipmodel = 2 ! ! Slip model parameters ! Reference strain rate slipparam(1) = 1.0d7 ! Inner exponent slipparam(2) = 0.78 ! Outer exponent slipparam(3) = 1.15 ! Activation energy for octahedral slip (J) slipparam(4) = 9.39d-19 ! Activation energy for cubic slip (J) slipparam(5) = 1.17d-18 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! Screw systems nscrew = 6 ! ! ! ! number of slip systems if (cubicslip == 0) then nslip = 12 elseif (cubicslip == 1) then nslip = 18 else call error(3) end if ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! ! crss [MPa] if (tcelsius <= 850.0) then ! temperature in celsius ! tauc_0=-0.000000001051*tcelsius**4 + + 0.000001644382*tcelsius**3 - + 0.000738679333*tcelsius**2 + 0.128385617901*tcelsius + + 446.547978926622 ! if (cubicslip == 1) then ! tauc_0(13:18)=-0.000000001077*tcelsius**4 + + 0.000001567820*tcelsius**3 - + 0.000686532147*tcelsius**2 - + 0.074981918833*tcelsius + + 571.706771689334 ! end if ! else ! tauc_0=-1.1707*tcelsius + 1478.9 ! if (cubicslip == 1) then ! tauc_0(13:18)=-0.9097*tcelsius + 1183 ! end if ! end if ! end temperature check ! ! tcelsius dependent stiffness constants [MPa] if (tcelsius <= 800.0) then ! celsius units ! c11=-40.841*tcelsius+251300 c12=-14.269*tcelsius+160965 ! else ! c11=0.111364*tcelsius**2-295.136*tcelsius+382827.0 c12=-0.000375*tcelsius**3+1.3375*tcelsius**2 - + 1537.5*tcelsius+716000 ! end if ! end temperature check ! g12=-0.00002066*tcelsius**3+0.021718*tcelsius**2 - + 38.3179*tcelsius+129864 ! e1 = (c11-c12)*(c11+2*c12)/(c11+c12) v12 = e1*c12/((c11-c12)*(c11+2*c12)) ! ! temperature dependent thermal expansion coefficient alpha1 = 9.119d-9*tcelsius +1.0975d-5 ! ! Eralp: Burgers vector was not defined for this burger1=2.56d-4 ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! assign Burgers vector scalars burgerv(1:nslip) = burger1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 1 ! ! hardening model hardeningmodel = 0 ! ! creep parameters ! reference rate for creep (1/s) creepparam(1) = 4.0d+8 ! stress multiplier for creep (1/MPa) creepparam(2) = 3.2d-2 ! activation energy for creep (J/mol) creepparam(3) = 460000. ! reference rate for damage (1/s) creepparam(4) = 6.0d6 ! stress multiplier for damage (1/MPa) creepparam(5) = -5.0d-8 ! activation energy for damage (J/mol) creepparam(6) = 340000. ! ! irradiation model irradiationmodel = 0 ! ! ! zirconium - hcp case(8) ! ! Phase id iphase = 3 ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.1 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 9 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! ! Burgers vectors [micrometers] burger1 = 2.28d-4 burger2 = 4.242d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 289.38d3 e3 = 335.17d3 g12 = 132.80d3 g13 = 162.50d3 v12 = 0.09 v13 = 0.04 ! ! crss [MPa] xtauc1 = 15.2 ! basal xtauc2 = 67.7 ! prismatic xtauc4 = 2000.0 ! pyramidal ! ! thermal expansion coefficients [1/K] alpha1 = 9.5d-6 alpha2 = alpha1 alpha3 = 0.5895*alpha1 ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:12) = burger2 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc4 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! Material constants by Alvaro Martinez Pechero ! Berilyum - hcp case(9) ! ! Phase id iphase = 3 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.1 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 3 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 1. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burger1 = 2.28d-4 burger2 = 4.242d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 289.38d3 e3 = 335.17d3 g12 = 132.80d3 g13 = 162.50d3 v12 = 0.09 v13 = 0.04 ! ! crss [MPa] xtauc1 = 20.2 ! basal xtauc2 = 88.7 ! prismatic xtauc4 = 188. ! pyramidal ! ! thermal expansion coefficients [1/K] alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:12) = burger1 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc4 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! alpha-uranium - alphauranium case(10) ! ! Phase id iphase = 4 ! ! Slip model ! power law slipmodel = 3 ! ! Slip model parameters ! reference strain rate slipparam(1) = 1.0d-3 ! rate sensitivity exponent slipparam(2) = 20. ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 8 ! ! Screw systems nscrew = 0 ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burgerv(1:2) = 2.85d-4 burgerv(3:4) = 6.51d-4 burgerv(5:8) = 11.85d-4 ! ! constant factor tau_0^alpha for crss [MPa] ! calhoun 2013 values ! with temperature dependence as in zecevic 2016 ! added after hardening is included tauc_0(1) = 24.5 tauc_0(2) = 85.5 tauc_0(3) = 166.5 tauc_0(4) = 166.5 tauc_0(5) = 235.0 tauc_0(6) = 235.0 tauc_0(7) = 235.0 tauc_0(8) = 235.0 ! ! ! ! elastic moduli [MPa] and poissons ratios ! see prs literature review by philip earp ! short crack propagation in uranium, an anisotropic polycrystalline metal ! temperature dependence according to daniel 1971 e1 = 203665.987780 * (1.0 - 0.000935*(temperature-293.0)) e2 = 148588.410104 * (1.0 - 0.000935*(temperature-293.0)) e3 = 208768.267223 * (1.0 - 0.000935*(temperature-293.0)) v12 = 0.242363 v13 = -0.016293 v23 = 0.387816 g12 = 74349.442379 * (1.0 - 0.000935*(temperature-293.0)) g13 = 73421.439060 * (1.0 - 0.000935*(temperature-293.0)) g23 = 124378.109453 * (1.0 - 0.000935*(temperature-293.0)) ! ! define thermal expansion coefficients as a function of temperature ! lloyd, barrett, 1966 ! thermal expansion of alpha uranium ! journal of nuclear materials 18 (1966) 55-59 alpha1 = 24.22d-6 - 9.83d-9 * temperature + + 46.02d-12 * temperature * temperature alpha2 = 3.07d-6 + 3.47d-9 * temperature - + 38.45d-12 * temperature * temperature alpha3 = 8.72d-6 + 37.04d-9 * temperature + + 9.08d-12 * temperature * temperature ! ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! UKAEA - Vikram Phalke ! copper - fcc ! no temperature dependence case(11) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 1 ! ! copper ! Slip model parameters slipparam(1) = 2.0d-5 ! rate sensitivity exponent slipparam(2) = 1. ! ! ! Geometric factor (0.1-0.5) gf = 0.2 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 14.98 ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! ! Copper xtauc1 = 1. ! ! ! Burgers vectors [micrometers] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model hardeningmodel = 5 ! ! ! ! ! ! copper ! Hardening rate - k1 hardeningparam(1)=0.06 ! Softening rate - k2 hardeningparam(2)=35. ! Latent hardening coefficient - q1 hardeningparam(3)=1.35 ! Latent hardening coefficient - q2 hardeningparam(4)=1.2 ! ! !! hardening model ! hardeningmodel = 3 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. ! ! ! irradiation model irradiationmodel = 0 ! ! ! Define Kronecker delta kdelta = 0. do is=1,nslip kdelta(is,is)=1. end do ! q1=hardeningparam(3) q2=hardeningparam(4) hintmat1=0. ! Define the hardening interaction matrix do is=1,nslip do js=1,nslip hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js) end do end do ! ! ! ! Backstress parameter backstressparam(1) = 0. ! ! ! UKAEA - Vikram Phalke ! CuCrZr - fcc ! no temperature dependence case(12) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 1 ! ! copper ! Slip model parameters slipparam(1) = 2.0d-5 ! rate sensitivity exponent slipparam(2) = 1. ! ! ! Geometric factor (0.1-0.5) gf = 0.2 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density [1/micrometer^2] rho_0(1:nslip) = 14.98 ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! ! CuCrZr xtauc1 = 84.6 ! ! ! Burgers vectors [micrometer] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model (KM with precipitates) hardeningmodel = 5 ! ! ! ! ! ! CuCrZr ! Hardening rate - k1 hardeningparam(1)=0.06 ! Softening rate - k2 hardeningparam(2)=35. ! Latent hardening coefficient - q1 hardeningparam(3)=1.35 ! Latent hardening coefficient - q2 hardeningparam(4)=1.2 ! ! Parameters related to precipitate strengthening ! Geometric/Strength factor for precipitates hardeningparam(5)=0.08 ! Number density of precipitates [1/micrometer^3] hardeningparam(6)=1.76d6 ! Particle diameter [micrometer] hardeningparam(7)=3.2d-3 ! !! hardening model ! hardeningmodel = 3 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. ! ! ! irradiation model irradiationmodel = 0 ! ! ! Define Kronecker delta kdelta = 0. do is=1,nslip kdelta(is,is)=1. end do ! q1=hardeningparam(3) q2=hardeningparam(4) hintmat1=0. ! Define the hardening interaction matrix do is=1,nslip do js=1,nslip hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js) end do end do ! ! ! ! Backstress parameter backstressparam(1) = 0. ! ! ! EUROFER steel material model - bcc (i.e. ferrite) ! Developed by Yunzhou Bai ! case(13) ! ! Slip model ! sinh law slipmodel = 1 ! ! ! Phase id iphase = 1 ! ! This can be 12 or 24 nslip = 12 ! ! ! constant alpha slipparam(1) = 0.01 ! constant beta slipparam(2) = 0.01 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! Screw systems nscrew = 4 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 1. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 1. ! ! ! Burgers vectors [micrometers] burger1 = 2.48d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Example elastic modulus values ! ********************************************************** ! ! steel-ferrum ! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982 ! C11=230.1d3 ! C12=134.6d3 ! C44=116.6d3 ! ! steel-ferrite ! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies ! of the martensite lattice and mechanism of diffusionless transformation" ! page 1087 ! C11=233.5d3 ! C12=135.5d3 ! C44=118.0d3 ! ! ********************************************************** ! ! Cubic elastic constants [MPa] ! Value used for ferrite grains C11=233.5d3 C12=135.5d3 C44=118.0d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 6 ! k1 - hardening parameter hardeningparam(1) = 1.d-3 ! k2 - softening parameter hardeningparam(2) = 20. ! D - lath spacing (micrometers) hardeningparam(3) = 1. ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! case default ! call error(1) ! end select ! ! *** set up elastic stiffness matrix in lattice system *** ! http://solidmechanics.org/Text/Chapter3_2/Chapter3_2.php#Sect3_2_11 ! however, the voigt notation in abaqus for strain and stress vectors ! has the following order: ! stress = (sigma11,sigma22,sigma33,tau12 tau13 tau23) ! strain = (epsilon11,epsilon22,epsilon33,gamma12,gamma13,gamma23) ! Calculate the remaining Poisson's ratios v21 = e2/e1*v12 v31 = e3/e1*v13 v32 = e3/e2*v23 ! ! constant as a factor cst = 1./(1.-v12*v21-v23*v32-v31*v13 + -2.*v21*v32*v13) ! Cc=0. Cc(1,1) = e1*(1.-v23*v32)*cst Cc(2,2) = e2*(1.-v13*v31)*cst Cc(3,3) = e3*(1.-v12*v21)*cst Cc(1,2) = e1*(v21+v31*v23)*cst Cc(1,3) = e1*(v31+v21*v32)*cst Cc(2,3) = e2*(v32+v12*v31)*cst Cc(4,4) = g12 Cc(5,5) = g13 Cc(6,6) = g23 ! ! symmetrize compliance matrix Cc(2,1) = Cc(1,2) Cc(3,1) = Cc(1,3) Cc(3,2) = Cc(2,3) ! ! ! ! define thermal eigenstrain in the lattice system alphamat=0. alphamat(1,1) = alpha1 alphamat(2,2) = alpha2 alphamat(3,3) = alpha3 ! ! ! ! return ! end subroutine materialparam ! ! ! ! ! end module usermaterials ================================================ FILE: Example - Residual deformation/useroutputs.f ================================================ ! Nov. 11th, 2022 ! Eralp Demir ! ! This is written to define the outputs for post-processing ! module useroutputs implicit none ! ! ! GLOBAL VARIABLES USED IN POST-PROCESSING ! ------------------------------------------------------------------------------- ! ! Flags for different outputs (22-30 custom outputs) integer, public :: statev_outputs(30) ! ! Set the desired outputs by setting 0 / 1 ! in the "defineoutputs" subroutine in the below! ! ! ! ! Number of outputs - will be computed integer, public :: nstatv_outputs ! ! ! ------------------------------------------------------------------------------- ! contains ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine defineoutputs ! use userinputs, only : maxnslip, maxnloop ! implicit none ! ! Variables used in the subroutine integer :: i, ind ! ! ! List of variables ! Set the flag to "1" if requested ! ! 1st State-variable output / number of outputs: 9 ! Crystal to Sample tranformation: statev_gmatinv statev_outputs(1) = 0 ! ! 2nd State-variable output / number of outputs: 1 ! Equivalent Von-Mises plastic total strain: statev_evmp statev_outputs(2) = 0 ! ! 3rd State-variable output / number of outputs: 1 ! Maximum ratio of rss to crss: statev_maxx statev_outputs(3) = 0 ! ! 4th State-variable output / number of outputs: 6 ! Elastic strains in the crystal frame: statev_Eec statev_outputs(4) = 0 ! ! 5th State-variable output / number of outputs: 9 ! Lattice curvature: statev_curvature statev_outputs(5) = 0 ! ! 6th State-variable output / number of outputs: 1 ! Total statistically-stored dislocation density: statev_ssdtot statev_outputs(6) = 0 ! ! 7th State-variable output / number of outputs: 1 ! Substructure dislocation density: statev_substructure statev_outputs(7) = 0 ! ! 8th State-variable output / number of outputs: 1 ! Solute strength: statev_tausolute statev_outputs(8) = 0 ! ! 9th State-variable output / number of outputs: 1 ! Cumulative slip: statev_totgammasum statev_outputs(9) = 0 ! ! 10th State-variable output / number of outputs: maxnslip ! Total slip per slip system: statev_gammasum statev_outputs(10) = 1 ! ! 11th State-variable output / number of outputs: maxnslip ! Slip rate: statev_gammadot statev_outputs(11) = 0 ! ! 12nd State-variable output / number of outputs: maxnslip ! Critical Resolved Shear Stress: statev_tauc statev_outputs(12) = 0 ! ! 13rd State-variable output / number of outputs: maxnslip ! Statistically-Stored Dislocation Density: statev_ssd statev_outputs(13) = 0 ! ! 14th State-variable output / number of outputs: maxnslip*2 ! Geometrically Necessary Dislocation Density: statev_gnd statev_outputs(14) = 0 ! ! 15th State-variable output / number of outputs: maxnslip ! Foresty Dislocation Density: statev_forest statev_outputs(15) = 0 ! ! 16th State-variable output / number of outputs: maxnloop ! Defect Loop Density: statev_loop statev_outputs(16) = 0 ! ! 17th State-variable output / number of outputs: maxnslip ! Backstress: statev_backstress statev_outputs(17) = 0 ! ! 18th State-variable output / number of outputs: 1 ! Total GND density statev_outputs(18) = 0 ! ! 19th State-variable output / number of outputs: 1 ! Plastic dissipation power density statev_outputs(19) = 0 ! ! 20st State-variable output / number of outputs: 1 ! Fatemi Socie parameter statev_outputs(20) = 0 ! ! 21-30 custom outputs ! Need to be defined here! statev_outputs(21) = 0 statev_outputs(22) = 0 statev_outputs(23) = 0 statev_outputs(24) = 0 statev_outputs(25) = 0 statev_outputs(26) = 0 statev_outputs(27) = 0 statev_outputs(28) = 0 statev_outputs(29) = 0 statev_outputs(30) = 0 ! ! ! ! ! ! ! ! Count the user-defined outputs nstatv_outputs=0 ! Find the total number of state variable outputs if (statev_outputs(1)==1) then nstatv_outputs=nstatv_outputs+9 endif if (statev_outputs(2)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(3)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(4)==1) then nstatv_outputs=nstatv_outputs+6 endif if (statev_outputs(5)==1) then nstatv_outputs=nstatv_outputs+9 endif if (statev_outputs(6)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(7)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(8)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(9)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(10)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(11)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(12)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(13)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(14)==1) then nstatv_outputs=nstatv_outputs+maxnslip*2 endif if (statev_outputs(15)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(16)==1) then nstatv_outputs=nstatv_outputs+maxnloop endif if (statev_outputs(17)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(18)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(19)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(20)==1) then nstatv_outputs=nstatv_outputs+1 endif ! ! ! Custom outputs need to be filled here! ! ! ! ! ! end subroutine defineoutputs ! ! ! ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine checkoutputs(nstatv) use errors, only: error implicit none ! Number of state variables integer, intent(in) :: nstatv ! ! Check if defined correctly if (nstatv_outputs > nstatv) then write(*,*) 'There are ', + nstatv_outputs, ' number of outputs!' write(*,*) 'But, ', + nstatv, ' number of outputs were defined in DEPVAR!' ! error message in .dat file call error(6) end if ! end subroutine checkoutputs ! ! ! ! ! ! ! subroutine write_statev_legend use userinputs, only : maxnslip, maxnloop ! implicit none ! integer count, i character*2 ij ! ! Write the legend of the output variables (nstatv) ! Outputs to extract: ! 1: Transformation matrix from crystal to sample (x9) ! 2: Equivalent Von-Mises plastic strain (x1) ! 3: Maximum ratio of rss to crss (x1) ! 4: Elastic strain in crystal frame (x6) ! 5: Lattice curvature (x9) ! 6: SSD total (x1) ! 7: Substructure density (x1) ! 8: Solute strength (x1) ! 9: cumulative slip (x1) ! 10: total slip per slip system (x maxnslip) ! 11: slip rates per slip system (x maxnslip) ! 12: CRSS (x maxnslip) ! 13: SSD (x maxnslip) ! 14: GND (x maxnslip) ! 15: Forest (x maxnslip) ! 16: Loop (x maxnloop) ! 17: Backstress (x maxnslip) ! 18: GND density (x1) ! 19: Plastic dissipation power density (x1) ! 20: Fatemi Socie parameter (x1) ! 21-30: Custom outputs ! ! ! ! ! ! count = 0 open(100,file='../STATEV_legend.txt',action='write', + status='replace') ! ! ! ! ! ! ! ! State variable-1 if (statev_outputs(1) == 1) then ! do i = 1, 9 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'xy' case(3) ij = 'xz' case(4) ij = 'yx' case(5) ij = 'yy' case(6) ij = 'yz' case(7) ij = 'zx' case(8) ij = 'zy' case(9) ij = 'zz' ! end select ! ! ! write(100,'(A7,I3,A37,A2,A4)') + 'STATEV-', count, + ': Crystal to Sample transformation -', ij, ' [-]' ! end do ! ! endif ! ! ! ! ! State variable-2 if (statev_outputs(2) == 1) then ! ! ! count = count + 1 ! ! ! write(100,'(A7,I3,A39,A4)') + 'STATEV-', count, + ': Equivalent Von-Mises plastic strain', ' [-]' ! ! ! ! endif ! ! ! State variable-3 if (statev_outputs(3) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A32,A4)') + 'STATEV-', count, + ': Maximum ratio of rss to crss', ' [-]' ! ! ! ! endif ! ! ! ! State variable-4 if (statev_outputs(4) == 1) then ! do i = 1, 6 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'yy' case(3) ij = 'zz' case(4) ij = 'xy' case(5) ij = 'xz' case(6) ij = 'yz' ! end select ! ! ! write(100,'(A7,I3,A36,A2,A6)') + 'STATEV-', count, + ': Elastic strain in crystal frame-', ij, ' [MPa]' ! end do ! ! endif ! ! ! ! ! ! State variable-5 if (statev_outputs(5) == 1) then ! do i = 1, 9 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'xy' case(3) ij = 'xz' case(4) ij = 'yx' case(5) ij = 'yy' case(6) ij = 'yz' case(7) ij = 'zx' case(8) ij = 'zy' case(9) ij = 'zz' ! end select ! ! ! write(100,'(A7,I3,A21,A2,A15)') + 'STATEV-', count, + ': Lattice curvature', ij, ' [1/micrometer]' ! end do ! ! endif ! ! ! ! ! ! ! ! ! ! State variable-6 if (statev_outputs(6) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A21,A17)') + 'STATEV-', count, + ': total SSD density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! ! State variable-7 if (statev_outputs(7) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A24,A17)') + 'STATEV-', count, + ': substructure density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! State variable-8 if (statev_outputs(8) == 1) then ! ! ! count = count + 1 ! ! ! write(100,'(A7,I3,A19,A6)') + 'STATEV-', count, + ': solute strength', ' [MPa]' ! ! ! ! endif ! ! ! State variable-9 if (statev_outputs(9) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A19,A4)') + 'STATEV-', count, + ': cumulative slip', ' [-]' ! ! ! ! endif ! ! ! ! ! State variable-10 if (statev_outputs(10) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A30,I2,A4)') + 'STATEV-', count, + ': Total slip on slip system-', i, ' [-]' ! end do ! ! endif ! ! ! ! ! State variable-11 if (statev_outputs(11) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A29,I2,A6)') + 'STATEV-', count, + ': Slip rate of slip system-', i, ' [1/s]' ! end do ! ! endif ! ! ! State variable-12 if (statev_outputs(12) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A24,I2,A6)') + 'STATEV-', count, + ': CRSS on slip system-', i, ' [MPa]' ! end do ! ! endif ! ! ! ! ! State variable-13 if (statev_outputs(13) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': SSD density of slip system-', i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! ! ! State variable-14 if (statev_outputs(14) == 1) then ! do i = 1, maxnslip*2 ! count = count + 1 ! ! Edge dislocation if (i <= maxnslip) then ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': Edge dislocation density-', i, ' [1/micrometer^2]' ! else ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': Screw dislocation density-', i-maxnslip, ' [1/micrometer^2]' ! end if ! ! end do ! ! endif ! ! ! State variable-15 if (statev_outputs(15) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A46,I2,A17)') + 'STATEV-', count, + ': Forest dislocation density of slip system-', + i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! State variable-16 if (statev_outputs(16) == 1) then ! do i = 1, maxnloop ! count = count + 1 ! ! ! write(100,'(A7,I3,A46,I2,A17)') + 'STATEV-', count, + ': Loop dislocation density of defect system-', + i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! State variable-17 if (statev_outputs(17) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A30,I2,A6)') + 'STATEV-', count, + ': Backstress on slip system-', + i, ' [MPa]' ! end do ! ! endif ! ! State variable-18 if (statev_outputs(18) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A21,A17)') + 'STATEV-', count, + ': Total GND density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! State variable-19 if (statev_outputs(19) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A37,A5)') + 'STATEV-', count, + ': Plastic dissipation power density', ' [nW]' ! ! ! ! endif ! ! State variable-20 if (statev_outputs(20) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A26,A4)') + 'STATEV-', count, + ': Fatemi Socie parameter', ' [-]' ! ! ! ! endif ! close(100) ! ! ! ! ! ! return end subroutine write_statev_legend ! ! ! ! ! ! ! subroutine assignoutputs(noel,npt,nstatv,statev) use globalvariables, only: statev_gmatinv, + statev_evmp, statev_maxx, statev_Eec, + statev_curvature, statev_backstress_t, + statev_ssdtot, statev_substructure, + statev_tausolute, statev_totgammasum, + statev_gammasum, statev_gammadot, + statev_tauceff, statev_ssd, statev_loop, statev_gnd_t, + statev_forest, statev_plasdiss use userinputs, only: maxnslip, maxnloop use utilities, only: matvec9 implicit none ! Element number integer, intent(in) :: noel ! Integration point integer, intent(in) :: npt ! Number of state variables integer, intent(in) :: nstatv ! Values of state variables real(8), intent(inout) :: statev(nstatv) ! Other variables integer :: i, j real(8) :: d6(6), d9(9), d1 real(8) :: gnd(maxnslip*2) ! Outputs to extract: ! 1: Transformation matrix from crystal to sample (x9) ! 2: Equivalent Von-Mises plastic strain (x1) ! 3: Maxium ratio of rss to crss (x1) ! 4: Elastic strain in crystal frame (x6) ! 5: Lattice curvature (x9) ! 6: SSD total (x1) ! 7: Substructure density (x1) ! 8: Solute strength (x1) ! 9: Cumulative slip (x1) ! 10: Total slip per slip system (x maxnslip) ! 11: Slip rates per slip system (x maxnslip) ! 12: Effective CRSS (x maxnslip) ! 13: SSD (x maxnslip) ! 14: GND (x maxnslip) ! 15: Forest (x maxnslip) ! 16: Loop density (x maxnloop) ! 17: Backstress (x maxnslip) ! 18: Total GND density (x1) ! 19: Plastic dissipation (x1) ! 20: Fatemi Socie parameter (x1) ! 21-30: Custom outputs ! ! ! Reset the counter i=0 ! ! State variable-1 ! Transformation matrix from crystal to sample (x9) if (statev_outputs(1)==1) then ! ! ! call matvec9(statev_gmatinv(noel,npt,:,:),d9) ! do j = 1, 9 ! i = i + 1 statev(i) = d9(j) ! end do ! end if ! ! ! ! State variable-2 ! Equivalent Von-Mises plastic strain (x1) if (statev_outputs(2)==1) then ! i = i + 1 statev(i) = statev_evmp(noel,npt) ! end if ! ! ! State variable-3 ! Maxium ratio of rss to crss (x1) if (statev_outputs(3)==1) then ! i = i + 1 statev(i) = statev_maxx(noel,npt) ! end if ! ! ! State variable-4 ! Elastic strain in crystal frame (x6) if (statev_outputs(4)==1) then ! ! do j = 1, 6 i = i + 1 statev(i) = statev_Eec(noel,npt,j) end do ! ! end if ! ! ! State variable-5 ! Lattice curvature (x9) if (statev_outputs(5)==1) then ! d9 = statev_curvature(noel,npt,:) ! do j = 1, 9 ! i = i + 1 statev(i) = d9(j) ! end do ! ! end if ! ! ! State variable-6 ! SSD total (x1) if (statev_outputs(6)==1) then ! i = i + 1 statev(i) = statev_ssdtot(noel,npt) ! end if ! ! ! ! State variable-7 ! Substructure density (x1) if (statev_outputs(7)==1) then ! i = i + 1 statev(i) = statev_substructure(noel,npt) ! end if ! ! ! State variable-8 ! Solute strength (x1) if (statev_outputs(8)==1) then ! i = i + 1 statev(i) = statev_tausolute(noel,npt) ! end if ! ! ! State variable-9 ! Cumulative slip (x1) if (statev_outputs(9)==1) then ! i = i + 1 statev(i) = statev_totgammasum(noel,npt) ! end if ! ! ! State variable-10 ! Total slip per slip system (x maxnslip) if (statev_outputs(10)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_gammasum(noel,npt,j) end do ! end if ! ! ! State variable-11 ! Slip rates per slip system (x maxnslip) if (statev_outputs(11)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_gammadot(noel,npt,j) end do ! end if ! ! State variable-12 ! CRSS (x maxnslip) if (statev_outputs(12)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_tauceff(noel,npt,j) end do ! end if ! ! ! State variable-13 ! SSD (x maxnslip) if (statev_outputs(13)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_ssd(noel,npt,j) end do ! end if ! ! ! State variable-14 ! GND (x maxnslip) if (statev_outputs(14)==1) then ! do j = 1, maxnslip*2 i = i + 1 statev(i) = statev_gnd_t(noel,npt,j) end do ! end if ! ! ! State variable-15 ! Forest density (x maxnslip) if (statev_outputs(15)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_forest(noel,npt,j) end do ! end if ! ! State variable-16 ! Loop density (x maxnloop) if (statev_outputs(16)==1) then ! do j = 1, maxnloop i = i + 1 statev(i) = statev_loop(noel,npt,j) end do ! end if ! ! ! State variable-17 ! Backstress (x maxnslip) if (statev_outputs(17)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_backstress_t(noel,npt,j) end do ! end if ! ! State variable-18 ! GND total (x1) if (statev_outputs(18)==1) then ! i = i + 1 gnd = statev_gnd_t(noel,npt,1:2*maxnslip) statev(i) = sqrt(sum(gnd*gnd)) ! end if ! ! State variable-19 ! Plastic dissipation power density (x1) if (statev_outputs(19)==1) then ! i = i + 1 statev(i) = statev_plasdiss(noel,npt) ! end if ! ! State variable-20 ! Fatemi Socie parameter (x1) if (statev_outputs(20)==1) then ! i = i + 1 call FatemiSocie_parameter(noel,npt,d1) statev(i) = d1 ! end if ! ! ! Custom state variables 21-30 ! Please add custom outputs here! ! ! ! ! return end subroutine assignoutputs ! ! !! ! ! ! ! Subroutine to calculate Fatemi Socie parameter subroutine FatemiSocie_parameter(noel,npt,FSp) use userinputs, only: maxnslip use globalvariables, only: statev_sigma, statev_gammasum, + statev_gmatinv, statev_tauceff, materialid, norc_0_all, + numslip_all use utilities, only: vecmat6 implicit none integer, intent(in) :: noel integer, intent(in) :: npt real(8), intent(out) :: FSp ! Variables used in the subroutine real(8) :: sig6(6), sig3x3(3,3) real(8) :: gammasum(maxnslip) real(8) :: gmatinv(3,3) real(8) :: tauceff(maxnslip), tauceffmax integer :: matid real(8) :: norc(3), nors(3) real(8) :: shmax, sigmax, k integer :: ismax, is, i, j, nslip ! ! Input parameter "k" ! Reference: https://doi.org/10.1016/j.ijfatigue.2011.01.003 k = 0.5 ! ! FSp=0. sig6 = statev_sigma(noel,npt,:) gammasum = statev_gammasum(noel,npt,:) gmatinv = statev_gmatinv(noel,npt,:,:) tauceff = statev_tauceff(noel,npt,:) matid = materialid(noel,npt) if (matid.ne.0) then nslip = numslip_all(matid) ! ! ! Find maximum slip shmax=0.; ismax=0 do is=1,nslip if (abs(gammasum(is)).gt.shmax) then shmax = abs(gammasum(is)) ismax = is end if end do ! ! If there is no maximum or zero slip if (ismax.eq.0) then ! FSp=0. ! ! If there some slip on any system else ! Maximum CRSS tauceffmax = tauceff(ismax) ! ! Slip plane normal of maximum slip norc = norc_0_all(matid,ismax,:) ! ! Transform to sample reference nors = matmul(gmatinv,norc) ! ! Convert stress to 3x3 matrix call vecmat6(sig6,sig3x3) ! ! Project stress to the slip plane of maximum slip sigmax = 0. do i = 1, 3 do j = 1, 3 sigmax = sigmax + + nors(i)*sig3x3(i,j)*nors(j) end do end do ! ! Check for zero tauceffmax if (tauceffmax.gt.0.) then ! Parameter calculation FSp = shmax/2.*(1.+k*sigmax/tauceffmax) else FSp = 0. end if ! end if else FSp = 0. end if ! return end subroutine FatemiSocie_parameter ! ! ! end module useroutputs ================================================ FILE: Example - Residual deformation/utilities.f ================================================ ! ************************************************* ! ************************************************* ! * UTILITY SUBROUTINES * ! ************************************************* ! ************************************************* ! Updated on Sept 23rd, 2022 ! Reorganized by Eralp Demir ! Converged into a module file ! Function trace is written as a subroutine ! ! module utilities implicit none contains ! ! ! ************************************************* ! * TRACE OF A 3X3 MATRIX * ! ************************************************* subroutine trace3x3(a,aii) implicit none real(8), intent(in) :: a(3,3) real(8), intent(out) :: aii ! aii = a(1,1)+a(2,2)+a(3,3) ! return end subroutine trace3x3 ! ! ! ! ************************************************* ! * TRACE OF A2X2 MATRIX * ! ************************************************* subroutine trace2x2(a,aii) implicit none real(8), intent(in) :: a(2,2) real(8), intent(out) :: aii ! aii = a(1,1)+a(2,2) ! return end subroutine trace2x2 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR * ! ************************************************* subroutine vecmat9(dvin,dmout) implicit none real(8), intent(in) :: dvin(9) real(8), intent(out) :: dmout(3,3) integer :: i ! dmout(1,1) = dvin(1) dmout(1,2) = dvin(2) dmout(1,3) = dvin(3) ! dmout(2,1) = dvin(4) dmout(2,2) = dvin(5) dmout(2,3) = dvin(6) ! dmout(3,1) = dvin(7) dmout(3,2) = dvin(8) dmout(3,3) = dvin(9) ! return end subroutine vecmat9 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR * ! ************************************************* subroutine matvec9(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(9) integer :: i ! dvout(1) = dmin(1,1) dvout(2) = dmin(1,2) dvout(3) = dmin(1,3) ! dvout(4) = dmin(2,1) dvout(5) = dmin(2,2) dvout(6) = dmin(2,3) ! dvout(7) = dmin(3,1) dvout(8) = dmin(3,2) dvout(9) = dmin(3,3) ! return end subroutine matvec9 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 6X1 COLUMN VECTOR * ! ************************************************* subroutine matvec6(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(6) integer :: i ! do i=1,3 dvout(i)=dmin(i,i) end do ! dvout(4) = (dmin(1,2)+dmin(2,1))/2. dvout(5) = (dmin(1,3)+dmin(3,1))/2. dvout(6) = (dmin(2,3)+dmin(3,2))/2. ! return end subroutine matvec6 ! ! ! ************************************************* ! * TRANSFER 6X1 COLUMN VECTOR TO 3X3 MATRIX * ! ************************************************* ! subroutine vecmat6(dvin,dmout) implicit none real(8), intent(in) :: dvin(6) real(8), intent(out) :: dmout(3,3) integer :: i ! do i=1,3 dmout(i,i) = dvin(i) end do ! dmout(1,2) = dvin(4) dmout(2,1) = dvin(4) dmout(1,3) = dvin(5) dmout(3,1) = dvin(5) dmout(3,2) = dvin(6) dmout(2,3) = dvin(6) ! return end subroutine vecmat6 ! ! ! ************************************************* ! * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 * ! ************************************************* subroutine vecprod(dvin1,dvin2,dvout) implicit none real(8), intent(in) :: dvin1(3), dvin2(3) real(8), intent(out) :: dvout(3) ! dvout(1)=dvin1(2)*dvin2(3)-dvin1(3)*dvin2(2) dvout(2)=dvin1(3)*dvin2(1)-dvin1(1)*dvin2(3) dvout(3)=dvin1(1)*dvin2(2)-dvin1(2)*dvin2(1) ! return end subroutine vecprod ! ! ! ************************************************* ! * DOT PRODUCT OF 3X1 WITH 3X1 GIVING 1X1 * ! ************************************************* subroutine dotprod(dvin1,dvin2,dvout) implicit none real(8), intent(in) :: dvin1(3), dvin2(3) real(8), intent(out) :: dvout(3) ! dvout = dvin1(1)*dvin2(1)+dvin1(2)*dvin2(2)+dvin1(3)*dvin2(3) dvout = abs(dvout) ! return end subroutine dotprod ! ! ! **************************************************** ! * TRANSFER GENERAL 3X3 MATRIX TO 6X1 COLUMN VECTOR * ! **************************************************** ! Off-diagonal terms are doubled! ! This is valid for shear conversion only! subroutine gmatvec6(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(6) integer :: i ! do i=1,3 dvout(i)=dmin(i,i) end do ! dvout(4) = dmin(1,2)+dmin(2,1) dvout(5) = dmin(3,1)+dmin(1,3) dvout(6) = dmin(2,3)+dmin(3,2) ! return end subroutine gmatvec6 ! ! ************************************************* ! * INVERSE OF A MATRIX WITH LAPACK * ! ************************************************* ! Checked inverse against python's numpy.linalg.inv subroutine lapinverse(xmatin,m,info,xmatout) implicit none ! integer,intent(in) :: m real(8),intent(in):: xmatin(m,m) !abaqus won't allow xmatin(:,:) ! integer,parameter :: lwork = 64 real(8),parameter :: zero=1.0d-12 integer :: i,j ! integer,intent(out) :: info real(8),intent(out) :: xmatout(m,m) integer :: ipiv(m) real(8) :: a(m,m) real(8) :: work(lwork) ! ! ! https://software.intel.com/en-us/mkl-developer-reference-fortran-getri#626EB2AE-CA6A-4233-A6FA-04F54EF7A6E6 ! ! EXTERNAL DGETRI, DGETRF ! ! ! xmatout = 0. ! ED: I have added to run this ! The next line shall be removed info=1 ! a = xmatin !don't input array xmatin ! ! call DGETRF( m, m, a, m, ipiv, info ) ! if(info == 0) then ! call DGETRI( m, a, m, ipiv, work, lwork, info ) !write(*,*) "work(1) == min lwork needed", work(1) else xmatout = 0. ! write(*,*)"dgetrf, illegal value at = ",-info,". no inverse" end if ! do i=1,m; do j=1,m; if (abs(a(i,j))<= zero) a(i,j) = 0. end do end do xmatout = a ! ! ! ! return end subroutine lapinverse ! ! ! ! ! **************************************************** ! * INVERSE OF A MATRIX WITHOUT LAPACK * ! **************************************************** ! subroutine nolapinverse(ain,c,n) ! ============================================================ ! Inverse matrix ! Method: Based on Doolittle LU factorization for Ax=b ! Alex G. December 2009 ! ----------------------------------------------------------- ! input ... ! a(n,n) - array of coefficients for matrix A ! n - dimension ! output ... ! c(n,n) - inverse matrix of A ! ! =========================================================== implicit none ! integer, intent(in) :: n real(8), intent(out) :: c(n,n) real(8), intent(in) :: ain(n,n) real(8) :: L(n,n), U(n,n), b(n), d(n), x(n) real(8) :: coeff, a(n,n) integer :: i, j, k ! ! step 0: initialization for matrices L and U and b ! Fortran 90/95 allows such operations on matrices L=0. U=0. b=0. a=ain ! ! step 1: forward elimination do k=1,n-1 do i=k+1,n coeff=a(i,k)/a(k,k) L(i,k) = coeff do j=k+1,n a(i,j) = a(i,j)-coeff*a(k,j) end do end do end do ! ! Step 2: prepare L and U matrices ! L matrix is a matrix of the elimination coefficient ! + the diagonal elements are 1.0 do i=1,n L(i,i) = 1.0 end do ! U matrix is the upper triangular part of A do j=1,n do i=1,j U(i,j) = a(i,j) end do end do ! ! Step 3: compute columns of the inverse matrix C do k=1,n b(k)=1.0 d(1) = b(1) ! Step 3a: Solve Ld=b using the forward substitution do i=2,n d(i)=b(i) do j=1,i-1 d(i) = d(i) - L(i,j)*d(j) end do end do ! Step 3b: Solve Ux=d using the back substitution x(n)=d(n)/U(n,n) do i = n-1,1,-1 x(i) = d(i) do j=n,i+1,-1 x(i)=x(i)-U(i,j)*x(j) end do x(i) = x(i)/u(i,i) end do ! Step 3c: fill the solutions x(n) into column k of C do i=1,n c(i,k) = x(i) end do b(k)=0.0 end do ! end subroutine nolapinverse ! ! ! ! ! ! ************************************************* ! * SUBROUTINE MATRIX SQUARE ROOT * ! ************************************************* ! subroutine msqrt(a,b) implicit none real(8), intent(inout) :: a(3,3) real(8), intent(out) :: b(3,3) integer :: i real(8) :: diag(3,3), q(3,3), d(3), + qtrans(3,3), res(3,3) ! ! diag=0.; b=0.; q=0.;res=0.;d=0. ! call jacobi(a,3,d,q) call eigsrt(d,q,3) ! do i=1,3 if (d(i) .ge. 0) then diag(i,i)=sqrt(d(i)) else write (6,*) 'the matrix is not positive definite' end if end do ! res = matmul(q,diag) b = matmul(res,transpose(q)) ! return end subroutine msqrt ! ! ! ! ************************************************* ! * SUBROUTINE MATRIX EIGENVALUES AND EIGENVECTORS* ! ************************************************* ! subroutine jacobi(a,n,d,v) implicit none integer, intent(in) :: n real(8), intent(inout) :: a(n,n) real(8), intent(out) :: d(n), v(n,n) ! integer, parameter :: nmax=500 integer :: i, j, ip, iq, nrot real(8) :: b(nmax), z(nmax), dial(n,n), + sm, tresh, g, h, t, theta, c, s, ta ! ! do ip=1,n do iq=1,n v(ip,iq)=0. end do v(ip,ip)=1. end do ! do ip=1,n b(ip)=a(ip,ip) d(ip)=b(ip) z(ip)=0. end do ! nrot=0 do i=1,50 sm=0. do ip=1,n-1 do iq=ip+1,n sm=sm+abs(a(ip,iq)) end do end do ! if (sm .eq. 0.) return if (i .lt. 4) then tresh=0.2*sm/n**2 else tresh=0. end if ! do ip=1,n-1 do iq=ip+1,n g=100.*abs(a(ip,iq)) if ((i .gt. 4) .and. (abs(d(ip))+g .eq. abs(d(ip))) + .and. (abs(d(ip))+g .eq. abs(d(iq)))) then a(ip,iq)=0. else if (abs(a(ip,iq)) .gt. tresh) then h=d(iq)-d(ip) if (abs(h)+g .eq. abs(h)) then t=a(ip,iq)/h else theta=0.5*h/a(ip,iq) t=1./(abs(theta)+sqrt(1.+theta**2)) if (theta .lt. 0) t=-t end if c=1./sqrt(1.+t**2) s=t*c ta=s/(1.+c) h=t*a(ip,iq) z(ip)=z(ip)-h z(iq)=z(iq)+h d(ip)=d(ip)-h d(iq)=d(iq)+h a(ip,iq)=0. ! do j=1,ip-1 g=a(j,ip) h=a(j,iq) a(j,ip)=g-s*(h+g*ta) a(j,iq)=h+s*(g-h*ta) end do ! do j=ip+1,iq-1 g=a(ip,j) h=a(j,iq) a(ip,j)=g-s*(h+g*ta) a(j,iq)=h+s*(g-h*ta) end do ! do j=iq+1,n g=a(ip,j) h=a(iq,j) a(ip,j)=g-s*(h+g*ta) a(iq,j)=h+s*(g-h*ta) end do ! do j=1,n g=v(j,ip) h=v(j,iq) v(j,ip)=g-s*(h+g*ta) v(j,iq)=h+s*(g-h*ta) end do ! nrot=nrot+1 end if end do end do ! do ip=1,n b(ip)=b(ip)+z(ip) d(ip)=b(ip) z(ip)=0. end do end do ! ! return end subroutine jacobi ! ! ! ************************************************* ! * SUBROUTINE SORT EIGENVALUES * ! ************************************************* ! subroutine eigsrt(d,v,n) implicit none integer, intent(in) :: n real(8), intent(inout) :: d(n) real(8), intent(inout) :: v(n,n) ! integer :: i, j, k real(8) :: p ! do i=1,n-1 k=i p=d(i) do j=i+1,n if(d(j).ge.p)then k=j p=d(j) endif end do if(k.ne.i)then d(k)=d(i) d(i)=p do j=1,n p=v(j,i) v(j,i)=v(j,k) v(j,k)=p end do endif end do ! return end subroutine eigsrt ! ! ! ************************************************* ! * THE DETERMINANT OF A 3X3 MATRIX * ! ************************************************* subroutine deter3x3(dmin,d) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: d ! d = 0. d = dmin(1,1)*dmin(2,2)*dmin(3,3) + + dmin(1,2)*dmin(2,3)*dmin(3,1) + + dmin(2,1)*dmin(3,2)*dmin(1,3) - + dmin(1,3)*dmin(2,2)*dmin(3,1) - + dmin(1,1)*dmin(2,3)*dmin(3,2) - + dmin(1,2)*dmin(2,1)*dmin(3,3) ! return end subroutine deter3x3 ! ! ! ************************************************* ! * THE DETERMINANT OF A 2X2 MATRIX * ! ************************************************* subroutine deter2x2(dmin,d) implicit none real(8), intent(in) :: dmin(2,2) real(8), intent(out) :: d ! d=0. d=dmin(1,1)*dmin(2,2)-dmin(1,2)*dmin(2,1) ! return end subroutine deter2x2 ! ! ************************************************* ! * Build 4th order rotation matrix (tsigma) * ! ************************************************* ! valid for rotating symmetric tensors subroutine rotord4sig(xrot,tsigma) implicit none real(8), intent(in) :: xrot(3,3) real(8), intent(out) :: tsigma(6,6) ! tsigma(1,1) = xrot(1,1)*xrot(1,1) tsigma(1,2) = xrot(1,2)*xrot(1,2) tsigma(1,3) = xrot(1,3)*xrot(1,3) tsigma(1,4) = 2.*xrot(1,1)*xrot(1,2) tsigma(1,6) = 2.*xrot(1,2)*xrot(1,3) tsigma(1,5) = 2.*xrot(1,3)*xrot(1,1) ! tsigma(2,1) = xrot(2,1)*xrot(2,1) tsigma(2,2) = xrot(2,2)*xrot(2,2) tsigma(2,3) = xrot(2,3)*xrot(2,3) tsigma(2,4) = 2.*xrot(2,1)*xrot(2,2) tsigma(2,6) = 2.*xrot(2,2)*xrot(2,3) tsigma(2,5) = 2.*xrot(2,3)*xrot(2,1) ! tsigma(3,1) = xrot(3,1)*xrot(3,1) tsigma(3,2) = xrot(3,2)*xrot(3,2) tsigma(3,3) = xrot(3,3)*xrot(3,3) tsigma(3,4) = 2.*xrot(3,1)*xrot(3,2) tsigma(3,6) = 2.*xrot(3,2)*xrot(3,3) tsigma(3,5) = 2.*xrot(3,3)*xrot(3,1) ! tsigma(4,1) = xrot(1,1)*xrot(2,1) tsigma(4,2) = xrot(1,2)*xrot(2,2) tsigma(4,3) = xrot(1,3)*xrot(2,3) tsigma(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1) tsigma(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3) tsigma(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1) ! tsigma(6,1) = xrot(2,1)*xrot(3,1) tsigma(6,2) = xrot(2,2)*xrot(3,2) tsigma(6,3) = xrot(2,3)*xrot(3,3) tsigma(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2) tsigma(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2) tsigma(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1) ! tsigma(5,1) = xrot(3,1)*xrot(1,1) tsigma(5,2) = xrot(3,2)*xrot(1,2) tsigma(5,3) = xrot(3,3)*xrot(1,3) tsigma(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2) tsigma(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3) tsigma(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3) ! return end subroutine rotord4sig ! ! ! ************************************************* ! * Build 4th order rotation matrix (tstran) * ! ************************************************* ! valid for symmetric tensors subroutine rotord4str(xrot,tstran) implicit none real(8), intent(in) :: xrot(3,3) real(8), intent(out) :: tstran(6,6) ! tstran(1,1) = xrot(1,1)*xrot(1,1) tstran(1,2) = xrot(1,2)*xrot(1,2) tstran(1,3) = xrot(1,3)*xrot(1,3) tstran(1,4) = xrot(1,1)*xrot(1,2) tstran(1,6) = xrot(1,2)*xrot(1,3) tstran(1,5) = xrot(1,3)*xrot(1,1) ! tstran(2,1) = xrot(2,1)*xrot(2,1) tstran(2,2) = xrot(2,2)*xrot(2,2) tstran(2,3) = xrot(2,3)*xrot(2,3) tstran(2,4) = xrot(2,1)*xrot(2,2) tstran(2,6) = xrot(2,2)*xrot(2,3) tstran(2,5) = xrot(2,3)*xrot(2,1) ! tstran(3,1) = xrot(3,1)*xrot(3,1) tstran(3,2) = xrot(3,2)*xrot(3,2) tstran(3,3) = xrot(3,3)*xrot(3,3) tstran(3,4) = xrot(3,1)*xrot(3,2) tstran(3,6) = xrot(3,2)*xrot(3,3) tstran(3,5) = xrot(3,3)*xrot(3,1) ! tstran(4,1) = 2.*xrot(1,1)*xrot(2,1) tstran(4,2) = 2.*xrot(1,2)*xrot(2,2) tstran(4,3) = 2.*xrot(1,3)*xrot(2,3) tstran(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1) tstran(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3) tstran(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1) ! tstran(6,1) = 2.*xrot(2,1)*xrot(3,1) tstran(6,2) = 2.*xrot(2,2)*xrot(3,2) tstran(6,3) = 2.*xrot(2,3)*xrot(3,3) tstran(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2) tstran(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2) tstran(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1) ! tstran(5,1) = 2.*xrot(3,1)*xrot(1,1) tstran(5,2) = 2.*xrot(3,2)*xrot(1,2) tstran(5,3) = 2.*xrot(3,3)*xrot(1,3) tstran(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2) tstran(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3) tstran(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3) ! return end subroutine rotord4str ! ! ! *************************************************************** ! * Build 4th order lower (and upper) tensor product * ! * NB: When contracted from 4th to the format used for * ! * C-matrix, it turns out that the upper and lower products * ! * are the same! * ! *************************************************************** ! valid for symmetric tensors subroutine ltprod(a,b,c) implicit none real(8), intent(in) :: a(3,3), b(3,3) real(8), intent(out) :: c(6,6) integer :: i, j ! c = 0. c(1,1) = 2.*a(1,1)*b(1,1) c(1,2) = 2.*a(1,2)*b(1,2) c(1,3) = 2.*a(1,3)*b(1,3) c(1,4) = a(1,1)*b(1,2)+a(1,2)*b(1,1) c(1,5) = a(1,1)*b(1,3)+a(1,3)*b(1,1) c(1,6) = a(1,2)*b(1,3)+a(1,3)*b(1,2) ! c(2,2) = 2.*a(2,2)*b(2,2) c(2,3) = 2.*a(2,3)*b(2,3) c(2,4) = a(2,1)*b(2,2)+a(2,2)*b(2,1) c(2,5) = a(2,1)*b(2,3)+a(2,3)*b(2,1) c(2,6) = a(2,2)*b(2,3)+a(2,3)*b(2,2) ! c(3,3) = 2.*a(3,3)*b(3,3) c(3,4) = a(3,1)*b(3,2)+a(3,2)*b(3,1) c(3,5) = a(3,1)*b(3,3)+a(3,3)*b(3,1) c(3,6) = a(3,2)*b(3,3)+a(3,3)*b(3,2) ! c(4,4) = a(1,1)*b(2,2)+a(1,2)*b(2,1) c(4,5) = a(1,1)*b(2,3)+a(1,3)*b(2,1) c(4,6) = a(1,2)*b(2,3)+a(1,3)*b(2,2) ! c(5,5) = a(1,1)*b(3,3)+a(1,3)*b(3,1) c(5,6) = a(1,2)*b(3,3)+a(1,3)*b(3,2) ! c(6,6) = a(2,2)*b(3,3)+a(2,3)*b(3,2) ! do i=2,6 do j=1,i-1 c(i,j)=c(j,i) end do end do ! c = 0.5*c ! return end subroutine ltprod ! ! ! ************************************************** ! * Build 4th order tensor product (kronecker)* ! ************************************************** ! valid for symmetric tensors subroutine tprod(a,b,c) implicit none real(8), intent(in) :: a(3,3), b(3,3) real(8), intent(out) :: c(6,6) integer :: i, j ! c = 0. c(1,1) = 2.*a(1,1)*b(1,1) c(1,2) = 2.*a(1,1)*b(2,2) c(1,3) = 2.*a(1,1)*b(3,3) c(1,4) = a(1,1)*b(1,2)+a(1,1)*b(2,1) c(1,5) = a(1,1)*b(1,3)+a(1,1)*b(3,1) c(1,6) = a(1,1)*b(2,3)+a(1,1)*b(3,2) ! c(2,2) = 2.*a(2,2)*b(2,2) c(2,3) = 2.*a(2,2)*b(3,3) c(2,4) = a(2,2)*b(1,2)+a(2,2)*b(2,1) c(2,5) = a(2,2)*b(1,3)+a(2,2)*b(3,1) c(2,6) = a(2,2)*b(2,3)+a(2,2)*b(3,2) ! c(3,3) = 2.*a(3,3)*b(3,3) c(3,4) = a(3,3)*b(1,2)+a(3,3)*b(2,1) c(3,5) = a(3,3)*b(1,3)+a(3,3)*b(3,1) c(3,6) = a(3,3)*b(2,3)+a(3,3)*b(3,2) ! c(4,4) = a(1,2)*b(1,2)+a(1,2)*b(2,1) c(4,5) = a(1,2)*b(1,3)+a(1,2)*b(3,1) c(4,6) = a(1,2)*b(2,3)+a(1,2)*b(3,2) ! c(5,5) = a(1,3)*b(1,3)+a(1,3)*b(3,1) c(5,6) = a(1,3)*b(2,3)+a(1,3)*b(3,2) ! c(6,6) = a(2,3)*b(2,3)+a(2,3)*b(3,2) ! do i=2,6 do j=1,i-1 c(i,j)=c(j,i) end do end do ! c = 0.5*c ! return end subroutine tprod ! ! ! ! ************************************** ! * MULTIPLY 3x3 MATRICES * ! ************************************** subroutine mmult(dm1,dm2,dm) implicit none real(8), intent(in) :: dm1(3,3), dm2(3,3) real(8), intent(out) :: dm(3,3) integer :: i, j, k real(8) :: x ! ! do i=1,3 do j=1,3 x=0.0 do k=1,3 x=x+dm1(i,k)*dm2(k,j) end do dm(i,j)=x end do end do ! return end subroutine mmult ! ! ! This subroutine inverts a 3x3 matrix ! INPUT: Matrix --- A(3,3) ! OUTPUT: Invereted matrix, determinant --- invA(3,3),det subroutine inv3x3(A,invA,det) use globalvariables, only: smallnum implicit none real(8), intent(in) :: A(3,3) real(8), intent(out) :: invA(3,3), det integer :: i,j ! ! ! First calculate the determinant call deter3x3(A,det) ! If the determinant is greater than certain value if (abs(det) < smallnum) then invA=0.0d+0 else invA(1,1)=((A(2,2)*A(3,3))-(A(2,3)*A(3,2)))/det invA(2,1)=-((A(2,1)*A(3,3))-(A(2,3)*A(3,1)))/det invA(3,1)=((A(2,1)*A(3,2))-(A(2,2)*A(3,1)))/det invA(1,2)=-((A(1,2)*A(3,3))-(A(1,3)*A(3,2)))/det invA(2,2)=((A(1,1)*A(3,3))-(A(1,3)*A(3,1)))/det invA(3,2)=-((A(1,1)*A(3,2))-(A(1,2)*A(3,1)))/det invA(1,3)=((A(1,2)*A(2,3))-(A(1,3)*A(2,2)))/det invA(2,3)=-((A(1,1)*A(2,3))-(A(2,1)*A(1,3)))/det invA(3,3)=((A(1,1)*A(2,2))-(A(1,2)*A(2,1)))/det endif return end subroutine inv3x3 ! ! ! This subroutine inverts a 2x2 matrix ! INPUT: Matrix --- A(2,2) ! OUTPUT: Invereted matrix, determinant --- invA(2,2),det subroutine inv2x2(A,invA,det) use globalvariables, only: smallnum implicit none real(8), intent(in) :: A(2,2) real(8), intent(out) :: invA(2,2), det integer :: i,j ! ! ! First calculate the determinant call deter2x2(A,det) ! If the determinant is greater than certain value if (abs(det) < smallnum) then invA=0.0d+0 else invA(1,1) = A(2,2)/det invA(1,2) =-A(1,2)/det invA(2,1) =-A(2,1)/det invA(2,2) = A(1,1)/det endif return end subroutine inv2x2 ! ! Euler angles to crystal orientation matrix ! INPUT: Angles(deg) --- ang(3) ! OUTPUT: Orientation matrix --- R(3,3) ! USES: Number pi --- pi subroutine Euler2ori(Euler,R) use globalvariables, only : pi implicit none real(8), intent(in) :: Euler(3) real(8), intent(out) :: R(3,3) real(8) :: phi1, phi2, Phi ! ! convert to radians phi1=Euler(1)*pi/180. Phi=Euler(2)*pi/180. phi2=Euler(3)*pi/180. ! ! R=0. R(1,1)=(cos(phi1)*cos(phi2))-(sin(phi1)*sin(phi2)*cos(Phi)) R(2,1)=-(cos(phi1)*sin(phi2))-(sin(phi1)*cos(phi2)*cos(Phi)) R(3,1)=sin(phi1)*sin(Phi) R(1,2)=(sin(phi1)*cos(phi2))+(cos(phi1)*sin(phi2)*cos(Phi)) R(2,2)=-(sin(phi1)*sin(phi2))+(cos(phi1)*cos(phi2)*cos(Phi)) R(3,2)=-cos(phi1)*sin(Phi) R(1,3)=sin(phi2)*sin(Phi) R(2,3)=cos(phi2)*sin(Phi) R(3,3)=cos(Phi) ! return end subroutine Euler2ori ! ! ! Orientation matrix from Euler angles ! INPUT: Orientation matrix --- R(3) ! OUTPUT: Bunge angles(deg) --- ang(3) ! USES: Number pi --- pi subroutine ori2Euler(R,Euler) use globalvariables, only : pi implicit none real(8), intent(in) :: R(3,3) real(8), intent(out) :: Euler(3) real(8) :: phi1, phi2, Phi ! if (R(3,3).eq.1.) then Phi=0. phi1=atan2(R(1,2),R(1,1)) phi2=0. else Phi=acos(R(3,3)) phi1=atan2(R(3,1)/sin(Phi),-R(3,2)/sin(Phi)) phi2=atan2(R(1,3)/sin(Phi),R(2,3)/sin(Phi)) endif Euler(1)=phi1 Euler(2)=Phi Euler(3)=phi2 ! convert to degrees Euler=Euler*180./pi ! return end subroutine ori2Euler ! ! ! This subroutine calculates inverse of a square matrix ! by singular value decomposition subroutine SVDinverse(A,n,invA,err) use globalvariables, only: smallnum implicit none integer n real(8), intent(in) :: A(n,n) real(8), intent(out) :: invA(n,n) integer, intent(out) :: err ! local variables real(8) :: w(n), V(n,n), U(n,n) real(8) :: invS(n,n), tol integer :: i ! ! ! tolerance value tol = sqrt(smallnum) ! U = A ! Singular Value Decomposition call svdcmp(U,n,n,n,n,w,V,err) ! ! subroutine returns ! U = A ! V = V ! S(i,i) = w(i) ! ! Calculate the inverse ! A = U * S * V^T ! invA = V * inv(S) * U^T ! inv(S) is the pseudo inverse 1/w(i) ! ! If there is no error if (err==0) then ! invS = 0. do i = 1, n if (abs(w(i)) > tol) then invS(i,i) = 1. / w(i) end if end do ! Corrected by Alvaro invA = matmul(matmul(V,invS),transpose(U)) ! In case of an error else ! V = 0. invA = 0. ! ! end if ! end subroutine SVDinverse ! ! ! Generalized inverse by singular value decomposition ! Written by Alvaro Martinez 08-03-2023 ! subroutine SVDgeninverse(A,n,m,invA,err) use globalvariables, only: smallnum implicit none integer, intent(in) :: n integer, intent(in) :: m real(8), intent(in) :: A(n,m) real(8), intent(out) :: invA(m,n) integer, intent(out) :: err ! local variables real(8) :: w(m), V(m,m), U(n,m) real(8) :: invS(m,m), tol integer :: i ! ! ! tolerance value tol = sqrt(smallnum) ! U = A ! Singular Value Decomposition call svdcmp(U,n,m,n,m,w,V,err) ! subroutine returns ! U = A ! V = V ! S(i,i) = w(i) ! ! Calculate the inverse ! A = U * S * V^T ! invA = V * inv(S) * U^T ! inv(S) is the pseudo inverse 1/w(i) ! ! If there is no error if (err==0) then invS = 0. do i = 1, m if (abs(w(i)) > tol) then invS(i,i) = 1. / w(i) end if end do ! invA = matmul(matmul(V,invS),transpose(U)) ! In case of an error else ! V = 0. invA = 0. ! ! end if ! end subroutine SVDgeninverse ! ! ! ! Codes for singular value decomposition ! Numerical Recipies in F77 ! https://websites.pmc.ucsc.edu/~fnimmo/eart290c_17/NumericalRecipesinF77.pdf ! ! SVDcmp subroutine ! Given a matrix (1:m,1:n) with physical dimensions mp by np, ! this routine computes its singular value decomposition, ! A = U W VT. The matrix U replaces A on output. The diagonal ! matrix of singular values W is output as a vector w(1:n) ! The matrix V (not the transpose VT) is the output as V(1:n,1:n) ! subroutine svdcmp(A,m,n,mp,np,w,V,err) use errors, only: error implicit none integer, intent(in) :: m,mp,n,np real(8), intent(inout) :: A(mp,np) real(8), intent(out) :: V(np,np), w(np) integer, intent(out) :: err integer, parameter :: nmax=1000 ! uses pythag integer i,its,j,jj,k,l,nm real(8) anorm,c,f,g,h,s,scale,x,y,z,rv1(nmax),pyt ! initialize error flag err=0 ! g=0.0 scale=0.0 anorm=0.0 do 25 i=1,n l=i+1 rv1(i)=scale*g g=0.0 s=0.0 scale=0.0 if(i.le.m)then do 11 k=i,m scale=scale+abs(A(k,i)) 11 continue if(scale.ne.0.0)then do 12 k=i,m A(k,i)=A(k,i)/scale s=s+A(k,i)*A(k,i) 12 continue f=A(i,i) g=-sign(sqrt(s),f) h=f*g-s A(i,i)=f-g do 15 j=l,n s=0.0 do 13 k=i,m s=s+A(k,i)*A(k,j) 13 continue f=s/h do 14 k=i,m A(k,j)=A(k,j)+f*A(k,i) 14 continue 15 continue do 16 k=i,m A(k,i)=scale*A(k,i) 16 continue endif endif w(i)=scale *g g=0.0 s=0.0 scale=0.0 if((i.le.m).and.(i.ne.n))then do 17 k=l,n scale=scale+abs(A(i,k)) 17 continue if(scale.ne.0.0)then do 18 k=l,n A(i,k)=A(i,k)/scale s=s+A(i,k)*A(i,k) 18 continue f=A(i,l) g=-sign(sqrt(s),f) h=f*g-s A(i,l)=f-g do 19 k=l,n rv1(k)=A(i,k)/h 19 continue do 23 j=l,m s=0.0 do 21 k=l,n s=s+A(j,k)*A(i,k) 21 continue do 22 k=l,n A(j,k)=A(j,k)+s*rv1(k) 22 continue 23 continue do 24 k=l,n A(i,k)=scale*A(i,k) 24 continue endif endif anorm=max(anorm,(abs(w(i))+abs(rv1(i)))) 25 continue do 32 i=n,1,-1 if(i.lt.n)then if(g.ne.0.0)then do 26 j=l,n V(j,i)=(A(i,j)/A(i,l))/g 26 continue do 29 j=l,n s=0.0 do 27 k=l,n s=s+A(i,k)*V(k,j) 27 continue do 28 k=l,n V(k,j)=V(k,j)+s*V(k,i) 28 continue 29 continue endif do 31 j=l,n V(i,j)=0.0 V(j,i)=0.0 31 continue endif V(i,i)=1.0 g=rv1(i) l=i 32 continue do 39 i=min(m,n),1,-1 l=i+1 g=w(i) do 33 j=l,n A(i,j)=0.0 33 continue if(g.ne.0.0)then g=1.0/g do 36 j=l,n s=0.0 do 34 k=l,m s=s+A(k,i)*A(k,j) 34 continue f=(s/A(i,i))*g do 35 k=i,m A(k,j)=A(k,j)+f*A(k,i) 35 continue 36 continue do 37 j=i,m A(j,i)=A(j,i)*g 37 continue else do 38 j= i,m A(j,i)=0.0 38 continue endif A(i,i)=A(i,i)+1.0 39 continue do 49 k=n,1,-1 do 48 its=1,30 do 41 l=k,1,-1 nm=l-1 if((abs(rv1(l))+anorm).eq.anorm) goto 2 if((abs(w(nm))+anorm).eq.anorm) goto 1 41 continue 1 c=0.0 s=1.0 do 43 i=l,k f=s*rv1(i) rv1(i)=c*rv1(i) if((abs(f)+anorm).eq.anorm) goto 2 g=w(i) call pythag(f,g,h) w(i)=h h=1.0/h c= (g*h) s=-(f*h) do 42 j=1,m y=A(j,nm) z=A(j,i) A(j,nm)=(y*c)+(z*s) A(j,i)=-(y*s)+(z*c) 42 continue 43 continue 2 z=w(k) if(l.eq.k)then if(z.lt.0.0)then w(k)=-z do 44 j=1,n V(j,k)=-V(j,k) 44 continue endif goto 3 endif if(its.eq.30) then !pause 'no convergence in svdcmp' err=1 endif x=w(l) nm=k-1 y=w(nm) g=rv1(nm) h=rv1(k) f=((y-z)*(y+z)+(g-h)*(g+h))/(2.0*h*y) call pythag(f,1.0d+0,g) f=((x-z)*(x+z)+h*((y/(f+sign(g,f)))-h))/x c=1.0 s=1.0 do 47 j=l,nm i=j+1 g=rv1(i) y=w(i) h=s*g g=c*g call pythag(f,h,z) rv1(j)=z c=f/z s=h/z f= (x*c)+(g*s) g=-(x*s)+(g*c) h=y*s y=y*c do 45 jj=1,n x=V(jj,j) z=V(jj,i) V(jj,j)= (x*c)+(z*s) V(jj,i)=-(x*s)+(z*c) 45 continue call pythag(f,h,z) w(j)=z if(z.ne.0.0)then z=1.0/z c=f*z s=h*z endif f= (c*g)+(s*y) x=-(s*g)+(c*y) do 46 jj=1,m y=A(jj,j) z=A(jj,i) A(jj,j)= (y*c)+(z*s) A(jj,i)=-(y*s)+(z*c) 46 continue 47 continue rv1(l)=0.0 rv1(k)=f w(k)=x 48 continue 3 continue 49 continue return end subroutine svdcmp ! (C) Copr. 1986-92 Numerical Recipes Software ! ! ! ! ! ! subroutine pythag(a,b,pyt) implicit none real(8), intent(in):: a,b real(8), intent(out):: pyt real(8) absa,absb absa=abs(a) absb=abs(b) if(absa.gt.absb)then pyt=absa*sqrt(1.+(absb/absa)**2) else if(absb.eq.0.)then pyt=0. else pyt=absb*sqrt(1.+(absa/absb)**2) endif endif return end subroutine pythag ! (C) Copr. 1986-92 Numerical Recipes Software ! ! ! ! end module utilities ================================================ FILE: Example - Single crystal with material vox file/Job-1.inp ================================================ *Heading ** Job name: Job-1 Model name: Job-1 ** Generated by: Abaqus/CAE 2021 *Preprint, echo=NO, model=NO, history=NO, contact=NO ** ** PARTS ** *Part, name=PART-1 *Node 1, 1000., 1., 1000. 2, 1000., -499., 1000. 3, 1000., -999., 1000. 4, 1000., 1., 500. 5, 1000., -499., 500. 6, 1000., -999., 500. 7, 1000., 1., 0. 8, 1000., -499., 0. 9, 1000., -999., 0. 10, 500., 1., 1000. 11, 500., -499., 1000. 12, 500., -999., 1000. 13, 500., 1., 500. 14, 500., -499., 500. 15, 500., -999., 500. 16, 500., 1., 0. 17, 500., -499., 0. 18, 500., -999., 0. 19, 0., 1., 1000. 20, 0., -499., 1000. 21, 0., -999., 1000. 22, 0., 1., 500. 23, 0., -499., 500. 24, 0., -999., 500. 25, 0., 1., 0. 26, 0., -499., 0. 27, 0., -999., 0. *Element, type=C3D8 1, 10, 11, 14, 13, 1, 2, 5, 4 2, 11, 12, 15, 14, 2, 3, 6, 5 3, 13, 14, 17, 16, 4, 5, 8, 7 4, 14, 15, 18, 17, 5, 6, 9, 8 5, 19, 20, 23, 22, 10, 11, 14, 13 6, 20, 21, 24, 23, 11, 12, 15, 14 7, 22, 23, 26, 25, 13, 14, 17, 16 8, 23, 24, 27, 26, 14, 15, 18, 17 *Nset, nset=_PICKEDSET2, internal, generate 1, 27, 1 *Elset, elset=_PICKEDSET2, internal, generate 1, 8, 1 ** Section: Section-1-_PICKEDSET2 *Solid Section, elset=_PICKEDSET2, material=MATERIAL-1 , *End Part ** ** ** ASSEMBLY ** *Assembly, name=Assembly ** *Instance, name=PART-1-1, part=PART-1 *End Instance ** *Nset, nset=_PICKEDSET4, internal, instance=PART-1-1, generate 19, 27, 1 *Elset, elset=_PICKEDSET4, internal, instance=PART-1-1, generate 5, 8, 1 *Nset, nset=_PICKEDSET5, internal, instance=PART-1-1, generate 3, 27, 3 *Elset, elset=_PICKEDSET5, internal, instance=PART-1-1, generate 2, 8, 2 *Nset, nset=_PICKEDSET6, internal, instance=PART-1-1 7, 8, 9, 16, 17, 18, 25, 26, 27 *Elset, elset=_PICKEDSET6, internal, instance=PART-1-1 3, 4, 7, 8 *Nset, nset=_PICKEDSET7, internal, instance=PART-1-1, generate 1, 9, 1 *Elset, elset=_PICKEDSET7, internal, instance=PART-1-1, generate 1, 4, 1 *End Assembly ** ** MATERIALS ** *Material, name=MATERIAL-1 *Depvar 12, *User Material, constants=6 45.,0.,0.,1.,2.,0. ** ---------------------------------------------------------------- ** ** STEP: Step-1 ** *Step, name=Step-1, nlgeom=YES, inc=1000 *Static 0.01, 1., 1e-05, 1. ** ** BOUNDARY CONDITIONS ** ** Name: Disp-BC-1 Type: Symmetry/Antisymmetry/Encastre *Boundary _PICKEDSET4, XSYMM ** Name: Disp-BC-2 Type: Symmetry/Antisymmetry/Encastre *Boundary _PICKEDSET5, YSYMM ** Name: Disp-BC-3 Type: Symmetry/Antisymmetry/Encastre *Boundary _PICKEDSET6, ZSYMM ** Name: Disp-BC-4 Type: Displacement/Rotation *Boundary _PICKEDSET7, 1, 1, 500. ** ** OUTPUT REQUESTS ** *Restart, write, frequency=0 ** ** FIELD OUTPUT: F-Output-1 ** *Output, field *Node Output CF, RF, U ** ** FIELD OUTPUT: F-Output-2 ** *Element Output, directions=YES LE, PE, PEEQ, PEMAG, S, SDV ** ** HISTORY OUTPUT: H-Output-1 ** *Output, history, variable=PRESELECT *End Step ================================================ FILE: Example - Single crystal with material vox file/OXFORD-UMAT.f ================================================ ! ! Nov., 01st, 2022 - 1st working version ! Apr., 25th, 2024 - Release v2.17 ! ! Crystal Plasticity UMAT ! University of Oxford ! Eralp Demir ! ! Sponsored by Design-by-Fundamentals (DbF) project under STEP program of UKAEA ! ! Rewrite of UMAT by Ed Tarleton and Nicolo Grilli ! Originally based on the UEL by Fionn Dunne 2007 ! Deformation twinning is not included ! ! Major changes: ! - Initialization routines for computational efficiency ! - Reverse slip formulation by C. Hardie ! - Option for implicit state update ! - Multiple materials with different phases can co-exist in a mesh ! - Modular code for flexible constitutive model development ! - GND calculations: ! o Restricted solution to the active slip systems ! o Option for element center homogenization ! o Different 2D/3D element types for GND calculation ! - 2D plane stress/strain problems ! include "userinputs.f" include "globalvariables.f" include "irradiation.f" include "errors.f" include "utilities.f" include "meshprop.f" include "usermaterials.f" include "useroutputs.f" include "crss.f" include "initializations.f" include "slip.f" include "slipreverse.f" include "creep.f" include "innerloop.f" include "hardening.f" include "backstress.f" include "cpsolver.f" include "straingradients.f" ! ! ! SUBROUTINE UEXTERNALDB(LOP,LRESTART,TIME,DTIME,KSTEP,KINC) ! Subroutine for initialization use initializations, only : initialize_variables, + initialize_once use userinputs, only : gndmodel, backstressmodel use globalvariables, only: numel, numpt, + init_once, statev_gmatinv, statev_gmatinv_t, + statev_gammasum_t, statev_gammasum, + statev_gammadot_t, statev_gammadot, + statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma, + statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth, + statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx, + statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd, + statev_ssd_t, statev_ssd, statev_forest_t, statev_forest, + statev_substructure_t, statev_substructure, statev_evmp_t, + statev_evmp, statev_totgammasum_t, statev_totgammasum, + statev_ssdtot_t, statev_ssdtot, statev_loop_t, statev_loop, + statev_Lambda_t, statev_Lambda, statev_sigma_t2, + statev_tausolute_t, statev_tausolute, time_old, dt_t, + statev_backstress, statev_backstress_t, + statev_plasdiss, statev_plasdiss_t, + ip_count, calculategradient, ip_init, grad_init ! use straingradients, only: gndmodel1, gndmodel2, + gndmodel3, gndmodel4 use backstress, only: backstressmodel2 use meshprop, only: initialize_gradientoperators use useroutputs, only: write_statev_legend ! implicit none ! ! ! INTEGER, INTENT(IN) :: + LOP, + LRESTART, + KSTEP, + KINC REAL(8), DIMENSION(1), INTENT(IN) :: + DTIME REAL(8), DIMENSION(2), INTENT(IN) :: + TIME ! ! integer :: i ! ! ! ! at the start of the analysis (only ONCE!) ! if there are initializations/calculations that are needed once, ! and that are independepent of element properties, you may use here. if (LOP==0) then ! ! 0. Initialize variables (instead of using data statements) call initialize_variables ! ! end if ! ! Initialization of gradient operators ! Check if the element has more than one integration point ! And the gradient initialization was done before or not if ((calculategradient==1).and.(grad_init==0)) then ! ! Check if IP coordinates were collected if ((sum(ip_init)==numel*numpt).and. + (numel>0).and.(numpt>0)) then ! ! ! Calculate the gradient mapping for each element once. call initialize_gradientoperators ! grad_init=1 write(*,*) '7. Gradient operators initialized!' ! endif ! end if ! ! ! ! ! if (LOP==1) then ! ! ! in case of force BC if ((KINC==1).and.(KSTEP==1)) then ! ! ! ! check if the one-time initialization is done or not if ((init_once==0).and.(numel>0).and.(numpt>0)) then ! ! ! ! check the number of elements i = sum(ip_count(1,:)) if (i>numpt) numpt = i ! ! check the number of elements i = sum(ip_count(:,1)) if (i>numel) numel = i ! ! ! write element number write(*,*) 'total elements in the mesh: ', numel ! ! write integration point number write(*,*) 'integration points per element: ', numpt ! ! write(*,*) '--------------------------------' ! ! call the initializations call initialize_once ! ! display upon completion write(*,*) 'one-time initialization is complete!' ! ! write(*,*) '--------------------------------' ! ! ! write the legend to a text file call write_statev_legend ! ! message for initializatoin write(*,*) '6. "STATEV_legend.txt" file is ready!' ! ! set the one-time initilaziation flag (at the very end) init_once=1 ! end if ! ! ! ! ! end if ! ! end if ! ! ! ! at the end of each increment if (LOP==2) then ! ! ! in case of displacement BC if ((KINC==1).and.(KSTEP==1)) then ! ! ! ! check if the one-time initialization is done or not if ((init_once==0).and.(numel>0).and.(numpt>0)) then ! ! ! ! check the number of elements i = sum(ip_count(1,:)) if (i>numpt) numpt = i ! ! check the number of elements i = sum(ip_count(:,1)) if (i>numel) numel = i ! ! ! write element number write(*,*) 'total elements in the mesh: ', numel ! ! write integration point number write(*,*) 'integration points per element: ', numpt ! ! write(*,*) '--------------------------------' ! ! call the initializations call initialize_once ! ! display upon completion write(*,*) 'one-time initialization is complete!' ! ! write(*,*) '--------------------------------' ! ! ! write the legend to a text file call write_statev_legend ! ! message for initializatoin write(*,*) '6. "STATEV_legend.txt" file is ready!' ! ! ! ! set the one-time initilaziation flag (at the very end) init_once=1 ! ! end if ! ! ! ! ! ! end if ! ! ! write(*,*) '--------------------------------' ! write(*,*) 'At the end of increment: ', KINC ! ! ! ! ! ! GND calculations ! do this only if the initiliazation complete and ! element gradients are calculatable (calculategradient==1) if ((init_once==1).and.(grad_init==1).and. + (calculategradient==1).and.(KINC>1)) then ! ! update and calculate GNDs (nonlocal calculations) ! this is done at the end of calculations. ! GNDs that belong to the PREVIOUS time step are used. ! initially GNDs are assumed to have "0" values. ! ! calculate GNDs (if initialization complete) if (gndmodel>0) then ! ! curl followed by L2 minimization - SVD - ! constrained to active slip systems if (gndmodel==1) then ! call gndmodel1 ! ! Cermelli-Gurtin's incompatibility measure - L2 minimization - SVD ! constrained to active slip systems (same as model-1) elseif (gndmodel==2) then ! call gndmodel2 ! ! rate form followed by direct projections elseif (gndmodel==3) then ! call gndmodel3(DTIME(1)) ! ! slip gradients elseif (gndmodel==4) then ! call gndmodel4(DTIME(1)) ! ! endif ! ! write(*,*) 'GNDs are computed!' ! ! if (backstressmodel==2) then ! call backstressmodel2 ! write(*,*) 'Backstresses are computed!' ! end if ! end if ! end if ! ! update the time time_old = time(2) ! store former converged time increment dt_t = DTIME(1) ! ! ! update state variables ! assign the current results to the former values statev_gmatinv_t(:,:,:,:) = statev_gmatinv(:,:,:,:) statev_evmp_t(:,:) = statev_evmp(:,:) statev_gammasum_t(:,:,:) = statev_gammasum(:,:,:) statev_totgammasum_t(:,:) = statev_totgammasum(:,:) statev_gammadot_t(:,:,:) = statev_gammadot(:,:,:) statev_Fp_t(:,:,:,:) = statev_Fp(:,:,:,:) statev_Fth_t(:,:,:,:) = statev_Fth(:,:,:,:) statev_sigma_t2(:,:,:) = statev_sigma_t(:,:,:) statev_sigma_t(:,:,:) = statev_sigma(:,:,:) statev_jacobi_t(:,:,:,:) = statev_jacobi(:,:,:,:) statev_tauc_t(:,:,:) = statev_tauc(:,:,:) statev_maxx_t(:,:) = statev_maxx(:,:) statev_Eec_t(:,:,:) = statev_Eec(:,:,:) statev_gnd_t(:,:,:) = statev_gnd(:,:,:) statev_ssd_t(:,:,:) = statev_ssd(:,:,:) statev_ssdtot_t(:,:) = statev_ssdtot(:,:) statev_forest_t(:,:,:) = statev_forest(:,:,:) statev_loop_t(:,:,:) = statev_loop(:,:,:) statev_substructure_t(:,:) = statev_substructure(:,:) statev_tausolute_t(:,:) = statev_tausolute(:,:) statev_Lambda_t(:,:,:) = statev_Lambda(:,:,:) statev_backstress_t(:,:,:) = statev_backstress(:,:,:) statev_plasdiss_t(:,:) = statev_plasdiss(:,:) ! write(*,*) 'States are updated!' ! write(*,*) '--------------------------------' ! ! endif ! ! ! RETURN END ! ! ! ! ! SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD, 1 RPL,DDSDDT,DRPLDE,DRPLDT, 2 STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME, 3 NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT, 4 CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC) ! use userinputs, only: cutback, pastefront use globalvariables, only: numel, numpt, numtens, + largenum, ip_init, init_once, ip_count use initializations, only: initialize_atfirstinc use cpsolver, only: solve implicit none ! ! INTEGER, INTENT(IN) :: + NDI, ! Number of direct stress components at this point + NSHR, ! Number of engineering shear stress components + NTENS, ! Size of the stress / strain components (NDI + NSHR) + NSTATV, ! Number of solution-dependent state variables + NPROPS, ! User-defined number of material constants + NOEL, ! Element number + NPT, ! Integration point number + LAYER, ! Layer number (shell elements etc.) + KSPT, ! Section point within the current layer + KINC ! Increment number (time increment) INTEGER, DIMENSION(4), INTENT(IN) :: + JSTEP ! Step number (load step) CHARACTER(LEN=80), INTENT(IN) :: + CMNAME ! Usee-specified material name, left justified REAL(8), INTENT(IN) :: + DTIME, ! Time increment + TEMP, ! Temperature at the start of the increment + DTEMP, ! Increment of temperature + CELENT ! Temperature REAL(8), DIMENSION(1), INTENT(IN) :: + PREDEF, + DPRED REAL(8), DIMENSION(2), INTENT(IN) :: + TIME ! Step time/total time at begin, of the current inc. REAL(8), DIMENSION(3), INTENT(IN) :: + COORDS REAL(8), DIMENSION(NTENS), INTENT(IN) :: + STRAN, ! Total strains at beginning of the increment + DSTRAN ! Strain increments REAL(8), DIMENSION(NPROPS), INTENT(IN) :: + PROPS REAL(8), DIMENSION(3,3), INTENT(IN) :: + DROT, ! Rotation increment matrix + DFGRD0, ! Deformation gradient at the former time increment + DFGRD1 ! Deformation gradient at the current time increment REAL(8), INTENT(INOUT) :: + PNEWDT, ! Ratio of suggested new time increment to current time increment + SSE, ! Specific elastic strain engergy + SPD, ! Specific plastic dissipation + SCD, ! Specific creep dissipation + RPL, ! Volumetric heat generation + DRPLDT ! Variation of RPL with respect to the temperature REAL(8), DIMENSION(NTENS), INTENT(INOUT) :: + STRESS ! Cauchy stress vector at the current time increment REAL(8), DIMENSION(NSTATV), INTENT(INOUT) :: + STATEV ! Solution-dependent state variables REAL(8), DIMENSION(NTENS), INTENT(OUT) :: + DDSDDT, ! Variation of the stress increments with respect to the temperature + DRPLDE ! Variation of RPL with respect to the strain increments REAL(8), DIMENSION(NTENS,NTENS), INTENT(OUT) :: + DDSDDE ! Material tangent at the current time increment ! ! local array for 3D crystal plasticity solver real(8) :: sigma(6), jacobi(6,6) ! material-id needed for array allocations integer :: matid, debug, debugwait ! counter integer :: i ! ! turn VS debugger on/off debug=0 do while (debug==1) debugwait = 1 end do ! ! to avoid warning messages set the following to zero DDSDDT = 0. DRPLDE = 0. ! ! outputs sigma = 0. jacobi = 0. ! ! ! ! read the number of elements and number of integration points per element if (ip_count(NOEL,NPT)<1) then ! ! Increment the counter ip_count(NOEL,NPT)=ip_count(NOEL,NPT)+1 ! ! store the number of elements if (NOEL>numel) numel=NOEL ! store the number of integration points if (NPT>numpt) numpt=NPT ! ! dimension of the problem (will be re-assigned in feprop) numtens = ntens ! DDSDDE=0. do i=1,NTENS DDSDDE(i,i)=largenum end do STRESS=0. PNEWDT=cutback ! ! ! end if ! ! ! if arrays allocated then ! do the crystal plasticity calculations if (init_once==1) then ! ! ! material/phase identifier matid=int(PROPS(5)) ! ! in some multi-body simulations UMAT entry for RGB has happened! ! in that case, RGB having no material-ID assigned gave array access issues ! this case deals with that situation if (matid > 0) then ! ! material property initialization if (ip_init(NOEL,NPT)==0) then ! call initialize_atfirstinc(NOEL,NPT,COORDS, + NPROPS,PROPS,TEMP,NSTATV) ! ! ! write(*,*) 'element: ', NOEL ! write(*,*) 'ip: ', NPT ! write(*,*) 'initialized!' end if ! ! ! ! ! call the main crystal plasticity solver call solve(NOEL,NPT,DFGRD1,DFGRD0, + TEMP,DTEMP,DTIME,matid, + PNEWDT,NSTATV,STATEV, + sigma,jacobi) ! ! ! ! increase the time step if desired or, ! let ABAQUS decide! if (pastefront > 1.) then ! if there is no cutback introduced if (PNEWDT /= cutback) then PNEWDT = pastefront end if end if ! ! ! ! 3D case if (NTENS==6) then ! STRESS = sigma DDSDDE = jacobi ! ! plane strain case elseif (NTENS==4) then ! STRESS=0. STRESS=0. STRESS(1) = sigma(1) STRESS(2) = sigma(2) STRESS(3) = sigma(3) STRESS(4) = sigma(4) ! DDSDDE=0. DDSDDE(1,1) = jacobi(1,1) DDSDDE(1,2) = jacobi(1,2) DDSDDE(1,3) = jacobi(1,3) DDSDDE(2,1) = jacobi(2,1) DDSDDE(2,2) = jacobi(2,2) DDSDDE(2,3) = jacobi(2,3) DDSDDE(3,1) = jacobi(3,1) DDSDDE(3,2) = jacobi(3,2) DDSDDE(3,3) = jacobi(3,3) DDSDDE(4,4) = jacobi(4,4) ! ! plane stress case elseif (NTENS==3) then ! STRESS=0. ! correction by Alvaro STRESS(1) = sigma(1)-sigma(3) STRESS(2) = sigma(2)-sigma(3) ! STRESS(3) = sigma(4) ! ! DDSDDE=0. DDSDDE(1,1) = jacobi(1,1) DDSDDE(1,2) = jacobi(1,2) DDSDDE(2,1) = jacobi(2,1) DDSDDE(2,2) = jacobi(2,2) DDSDDE(3,3) = jacobi(4,4) ! end if ! ! if rigid body (or matid not defined in PROPS) else ! DDSDDE=0. do i=1,NTENS DDSDDE(i,i)=largenum end do STRESS=0. ! ! end of crystal plasticity solution end if ! ! end of one-time initialization performed case end if ! ! ! RETURN END ================================================ FILE: Example - Single crystal with material vox file/backstress.f ================================================ ! May 03rd, 2022 ! Eralp Demir ! module backstress implicit none contains ! ! Armstrong-Frederic backstress model ! Two input parameters are required subroutine backstressmodel1(backstressparam,nslip,X,gdot,dt,dX) use userinputs, only : maxnparam implicit none ! Inputs ! Backstress parameters real(8), intent(in) :: backstressparam(maxnparam) ! Number of slip systems integer, intent(in) :: nslip ! Current value of slip rate real(8), intent(in) :: gdot(nslip) ! Current value of backstress real(8), intent(in) :: X(nslip) ! time increment real(8), intent(in) :: dt ! ! Output ! Backtress increment real(8), intent(out) :: dX(nslip) ! ! Variables used in this subroutine ! Backstress evolution parameter real(8) :: h ! Backstress relief parameter real(8) :: hD integer :: is ! ! Backstress evolution h = backstressparam(1) ! ! Backstress annihiliation hD = backstressparam(2) ! dX = 0. do is=1,nslip ! dX(is) = (h*gdot(is) - hD*X(is)*abs(gdot(is)))*dt ! end do ! ! ! return end subroutine backstressmodel1 ! ! ! ! ! ! NON-LOCAL backstress calculation based on GND density subroutine backstressmodel2 use userinputs, only: maxnslip use globalvariables, only: numel, numpt, + materialid, numslip_all, numscrew_all, screw_all, + burgerv_all, gf_all, G12_all, v12_all, + backstressparam_all, statev_backstress, + statev_gnd, statev_gammasum use utilities, only: matvec6 implicit none integer :: matid, nslip, nscrew real(8) :: burgerv(maxnslip) integer :: screw(maxnslip) real(8) :: X(maxnslip) real(8) :: gf, G12, v12, xi real(8) :: rhoGNDe, rhoGNDs, gsum real(8) :: rhoGND(maxnslip) integer :: ie, ip, is, i, k, l ! ! ! ! ! ! do ie=1, numel ! ! Reset arrays burgerv=0.;screw=0 ! ! ! ! Assume the same material for al the Gaussian points of an element matid = materialid(ie,1) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! Screw systems screw = screw_all(matid,1:nscrew) ! ! Geometric factor gf = gf_all(matid) ! ! Shear Modulus G12 = G12_all(matid) ! ! Poisson's ratio v12 = v12_all(matid) ! ! Burgers vector burgerv(1:nslip) = burgerv_all(matid,1:nslip) ! ! Backstress parameter xi = backstressparam_all(matid,1) ! ! do ip=1,numpt ! ! ! ! ! ! ! Reset backstress X = 0. ! ! rhoGND=0. ! Edges do is = 1, nslip ! ! Sum of shear rates gsum = statev_gammasum(ie,ip,is) ! Edge dislocation density rhoGNDe = statev_gnd(ie,ip,is) ! !! ! rhoGND(is) = abs(statev_gnd(ie,ip,is)) ! ! ! Backstress due to edges X(is) = xi*G12/(1.-v12)*burgerv(is)* + sqrt(abs(rhoGNDe))*sign(1.0,gsum) ! ! ! end do ! ! ! ! Screws do i = 1, nscrew ! is = screw(i) ! ! Sum of shear rates gsum = statev_gammasum(ie,ip,is) ! Screw dislocation density rhoGNDs = statev_gnd(ie,ip,nslip+i) ! ! rhoGND(is) = rhoGND(is) + ! + abs(statev_gnd(ie,ip,nslip+i)) ! ! Backstress due to screws X(is) = X(is) + xi*G12*burgerv(is)* + sqrt(abs(rhoGNDs))*sign(1.0,gsum) ! ! ! end do ! ! !! Backstress ! do is = 1, nslip !! !! Sum of shear rates ! gsum = statev_gammasum(ie,ip,is) !! ! X(is) = xi*G12*burgerv(is)*sqrt(rhoGND(is)) ! + *sign(1.0,gsum) !! ! end do ! ! ! Assign to the global vector statev_backstress(ie,ip,1:nslip) = X(1:nslip) ! ! ! ! ! ! end do ! ! ! ! ! ! ! end do ! ! ! ! ! ! ! return ! end subroutine backstressmodel2 ! ! end module backstress ================================================ FILE: Example - Single crystal with material vox file/cpsolver.f ================================================ ! Oct. 1st, 2022 ! Eralp Demir ! This module contains the solver schemes for crystal plasticity ! module cpsolver implicit none contains ! ! This subroutine deals with ! global variables and their assignments ! before entering the main solver: ! 1. assigns the global variables to locals ! before calling the CP-solver ! 2. calls fge-predictor scheme before as ! spare solution ! 3. calls implicit or explicit CP-solvers ! 4. assigns the results to the glboal state variables subroutine solve(noel, npt, dfgrd1, dfgrd0, + temp, dtemp, dt, matid, pnewdt, nstatv, statev, + sigma, jacobi) ! use globalvariables, only : dt_t, + statev_gmatinv, statev_gmatinv_t, + statev_gammasum_t, statev_gammasum, statev_ssdtot_t, + statev_gammadot_t, statev_gammadot, statev_ssdtot, + statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma, + statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth, + statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx, + statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd, + statev_ssd_t, statev_ssd, statev_loop_t, statev_loop, + statev_forest_t, statev_forest, statev_evmp_t, statev_evmp, + statev_substructure_t, statev_substructure, statev_sigma_t2, + statev_totgammasum_t, statev_totgammasum, + statev_tausolute_t, statev_tausolute, forestproj_all, + numslip_all, numscrew_all, phaseid_all, Schmid_0_all, + dirc_0_all, norc_0_all, caratio_all, cubicslip_all, + Cc_all, gf_all, G12_all, alphamat_all, burgerv_all, + sintmat1_all, sintmat2_all, hintmat1_all, hintmat2_all, + slipmodel_all, slipparam_all, creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, irradiationmodel_all, + irradiationparam_all, backstressparam_all, slip2screw_all, + statev_backstress_t, statev_backstress, statev_plasdiss_t, + statev_plasdiss, statev_tauceff, + I3, I6, smallnum ! use userinputs, only: constanttemperature, temperature, + predictor, maxnslip, maxnparam, maxxcr, cutback, + phi, maxnloop, stateupdate ! ! use usermaterials, only: materialparam ! use crss, only: slipresistance, totalandforest ! use useroutputs, only: assignoutputs, nstatv_outputs ! use errors, only: error ! use utilities, only: inv3x3, nolapinverse, matvec6, vecmat6, + rotord4sig, gmatvec6 ! implicit none ! ! element no integer, intent(in) :: noel ! ! ip no integer, intent(in) :: npt ! ! ! current deformation gradient real(8), intent(in) :: dfgrd1(3,3) ! ! former deformation gradient real(8), intent(in) :: dfgrd0(3,3) ! ! ABAQUS temperature real(8), intent(in) :: temp ! ! ABAQUS temperature increment real(8), intent(in) :: dtemp ! ! time step real(8), intent(in) :: dt ! ! material id integer, intent(in) :: matid ! ! time factor real(8), intent(inout) :: pnewdt ! ! number of state variables - for postprocessing integer, intent(in) :: nstatv ! ! state variables - postprocessing real(8), intent(inout) :: statev(nstatv) ! ! Cauchy stress real(8), intent(out) :: sigma(6) ! ! Material tangent real(8), intent(out) :: jacobi(6,6) ! ! Local variables used within this subroutine ! ! ! phase-id integer :: phaid ! ! number of slip systems integer :: nslip ! ! ! Convergence flag (initially set to zero!) ! ! Flag for crystal plasticity explicit/implicit solver integer :: cpconv ! ! Flag for Euler solver convergence integer :: cpconv0 ! ! ! Local state variables with known dimensions ! crystal to sample transformation at the former time step real(8) :: gmatinv_t(3,3) ! crystal to sample transformation at the former time step real(8) :: gmatinv(3,3) ! stress at the former time step real(8) :: sigma_t(6) ! rss/crsss ratio at the former time step real(8) :: maxx_t ! rss/crsss ratio at the current time step real(8) :: maxx ! elastic strains in the crystal reference at the former time step real(8) :: Eec_t(6) ! elastic strains in the crystal reference at the current time step real(8) :: Eec(6) ! plastic deformation gradient at the former time step real(8) :: Fp_t(3,3) ! plastic deformation gradient at the current time step real(8) :: Fp(3,3) ! thermal deformation gradient at the former time step real(8) :: Fth_t(3,3) ! thermal deformation gradient at the current time step real(8) :: Fth(3,3) ! inverse of the thermal deformation gradient at the former time step real(8) :: invFth_t(3,3) ! inverse of the thermal deformation gradient at the current time step real(8) :: invFth(3,3) ! determinant of the thermal deformation gradient real(8) :: detFth, detFth_t ! mechanical deformation gradient at the former time step real(8) :: F_t(3,3) ! mechanical deformation gradient at the current time step real(8) :: F(3,3) ! ! Variables for velocity gradient calculation ! Fdot real(8) :: Fdot(3,3) ! velocity gradient at the current time step real(8) :: L(3,3) ! inverse of the deformation gradient real(8) :: Finv(3,3) ! determinant of the deformation gradient real(8) :: detF ! ! Local state variable arrays ! sum of slip per slip system real(8) :: gammasum_t(numslip_all(matid)) real(8) :: gammasum(numslip_all(matid)) ! slip rates real(8) :: gammadot_t(numslip_all(matid)) real(8) :: gammadot(numslip_all(matid)) ! slip resistance real(8) :: tauc_t(numslip_all(matid)) real(8) :: tauc(numslip_all(matid)) ! effective overall slip resistance ! (tauc0 + GND + SSD + solute + substructure + forest + etc.) real(8) :: tauceff_t(numslip_all(matid)) real(8) :: tauceff(numslip_all(matid)) ! Note the size of GND is different ! gnd density (nslip + nscrew) real(8) :: gnd_t(numslip_all(matid)+numscrew_all(matid)) real(8) :: gnd(numslip_all(matid)+numscrew_all(matid)) ! ! ssd density (nslip) real(8) :: ssd_t(numslip_all(matid)) real(8) :: ssd(numslip_all(matid)) ! loop density (maxnloop) real(8) :: loop_t(maxnloop) real(8) :: loop(maxnloop) ! total forest dislocation density - derived from other terms real(8) :: rhofor_t(numslip_all(matid)) real(8) :: rhofor(numslip_all(matid)) ! total density real(8) :: rhotot_t(numslip_all(matid)) real(8) :: rhotot(numslip_all(matid)) ! forest dislocation density as a state variable real(8) :: forest_t(numslip_all(matid)) real(8) :: forest(numslip_all(matid)) ! ! ! Scalar state variables ! equivalent Von-Mises plastic strain real(8) :: evmp_t real(8) :: evmp ! ! cumulative slip real(8) :: totgammasum_t real(8) :: totgammasum ! ! plastic dissipation power real(8) :: plasdiss_t real(8) :: plasdiss ! ! solute strength real(8) :: tausolute_t real(8) :: tausolute ! substructure density real(8) :: substructure_t real(8) :: substructure ! total density real(8) :: ssdtot_t real(8) :: ssdtot ! scalar cumulartive density real(8) :: sumrhotot_t real(8) :: sumrhotot ! ! material-related local variables ! number screw systems integer :: nscrew ! slip model flag integer :: smodel ! creep model flag integer :: cmodel ! hardening model flag integer :: hmodel ! irradiation mdoel flag integer :: imodel ! cubic slip flag integer :: cubicslip ! material temperature real(8) :: mattemp ! c/a ratio for hcp materials real(8) :: caratio ! compliance at the crystal reference real(8) :: Cc(6,6) ! geometric factor real(8) :: gf ! shear modulus real(8) :: G12 ! Poisson's ratio real(8) :: v12 ! thermal expansion coefficient real(8) :: alphamat(3,3) ! slip parameters real(8) :: sparam(maxnparam) ! creep parameters real(8) :: cparam(maxnparam) ! hardening parameters real(8) :: hparam(maxnparam) ! irradiation parameters real(8) :: iparam(maxnparam) ! Backstress parameters real(8) :: bparam(maxnparam) ! Burgers vector real(8) :: burgerv(numslip_all(matid)) ! Interaction matrices ! Strength interaction between dislocations real(8) :: sintmat1(numslip_all(matid),numslip_all(matid)) ! Strength interaction dislocation loops related with irradiation real(8) :: sintmat2(numslip_all(matid),numslip_all(matid)) ! Latent hardening real(8) :: hintmat1(numslip_all(matid),numslip_all(matid)) ! Hardening interaction matrix between dislocations real(8) :: hintmat2(numslip_all(matid),numslip_all(matid)) ! ! ! slip direction and slip plane normal at the crystal reference (undeformed) real(8) :: dirc_0(numslip_all(matid),3) real(8) :: norc_0(numslip_all(matid),3) ! slip direction and slip plane normal at the sample reference real(8) :: dirs_t(numslip_all(matid),3) real(8) :: nors_t(numslip_all(matid),3) ! ! Forest projection operators for GND and SSD real(8) :: forestproj(numslip_all(matid), + numslip_all(matid)+numscrew_all(matid)) ! ! Slip to screw system map real(8) :: slip2screw(numscrew_all(matid),numslip_all(matid)) ! ! Schmid Dyadic real(8) :: Schmid_0(numslip_all(matid),3,3) real(8) :: Schmid(numslip_all(matid),3,3) real(8) :: Schmidvec(numslip_all(matid),6) real(8) :: SchmidxSchmid(numslip_all(matid),6,6) real(8) :: sdir(3), ndir(3), SNij(3,3), NSij(3,3) real(8) :: nsi(6), sni(6) ! ! ! ! strain calculations ! total strain increment real(8) :: dstran(6), dstran33(3,3) ! thermal strain increment real(8) :: dstranth33(3,3), dstranth(6) ! total spin increment real(8) :: domega(3) ! total spin (rate) 3x3 matrix real(8) :: W(3,3), dW33(3,3) ! ! Elasticity transformation ! temporary array for elastic stiffness calculation real(8) :: rot4(6,6) ! elasticity matrix at the deformed reference real(8) :: Cs(6,6) ! ! Trial stress calculation ! trial stress real(8) :: sigmatr(6) ! ! Backstress at current time real(8) :: X(numslip_all(matid)) ! Backstress at former time real(8) :: X_t(numslip_all(matid)) ! Backstress backup solution real(8) :: X0(numslip_all(matid)) ! ! stress with rotations real(8) :: sigmarot_t(6) ! ! stress (3x3) real(8) :: sigma33_t(3,3) ! ! ! Resolved shear stress calculation ! GUESS values real(8) :: sigma0(6), jacobi0(6,6) ! value of resolved shear stress real(8) :: tau0(numslip_all(matid)) ! ! value of resolved shear stress real(8) :: tau_t(numslip_all(matid)) ! ! value of trial resolved shear stress real(8) :: tautr(numslip_all(matid)) ! absolute value of resolved shear stress real(8) :: abstautr(numslip_all(matid)) ! ! dummy variables real(8) :: dummy3(3), dummy33(3,3) real(8) :: dummy33_(3,3) real(8) :: dummy6(6), dummy66(6,6) integer :: dum1, dum2, dum3 ! unused variables real(8) :: notused1(maxnslip) real(8) :: notused2(maxnslip) real(8) :: notused3(maxnslip) ! In case materials subroutine entered everytime ! Strength interaction between dislocations real(8) :: notused4(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8) :: notused5(maxnslip,maxnslip) ! Latent hardening real(8) :: notused6(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8) :: notused7(maxnslip,maxnslip) ! Initial forest and substructure densities real(8) :: notused8, notused9 ! ! counter integer :: is, i, j ! ! ! ! Reset sparse arrays notused1=0.;notused2=0.;notused3=0. notused4=0.;notused5=0. notused6=0.;notused7=0. ! ! ! ! convergence check initially ! if sinh( ) in the slip law has probably blown up ! then try again with smaller dt if(any(dfgrd1 /= dfgrd1)) then ! Set the outputs to zero initially sigma = 0. jacobi = I6 ! cut back time pnewdt = cutback ! warning message in .dat file call error(11) ! go to the end of subroutine return end if ! ! ! ! phase-id phaid = phaseid_all(matid) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! ! ! ! undeformed slip direction dirc_0 = dirc_0_all(matid,1:nslip,1:3) ! undeformed slip plane normal norc_0 = norc_0_all(matid,1:nslip,1:3) ! ! ! Forest projection for GND forestproj = forestproj_all(matid,1:nslip,1:nslip+nscrew) ! ! ! Slip to screw system mapping slip2screw = slip2screw_all(matid,1:nscrew,1:nslip) ! ! Initial Schmid tensor Schmid_0 = Schmid_0_all(matid,1:nslip,:,:) ! ! Assign the global state variables ! to the local variables ! at the former time step gammasum_t = statev_gammasum_t(noel,npt,1:nslip) gammadot_t = statev_gammadot_t(noel,npt,1:nslip) tauc_t = statev_tauc_t(noel,npt,1:nslip) gnd_t = statev_gnd_t(noel,npt,1:nslip+nscrew) ssd_t = statev_ssd_t(noel,npt,1:nslip) loop_t = statev_loop_t(noel,npt,1:maxnloop) ssdtot_t = statev_ssdtot_t(noel,npt) forest_t = statev_forest_t(noel,npt,1:nslip) substructure_t = statev_substructure_t(noel,npt) evmp_t = statev_evmp_t(noel,npt) plasdiss_t = statev_plasdiss_t(noel,npt) totgammasum_t = statev_totgammasum_t(noel,npt) tausolute_t = statev_tausolute_t(noel,npt) sigma_t = statev_sigma_t(noel,npt,:) Fp_t = statev_Fp_t(noel,npt,:,:) Fth_t = statev_Fth_t(noel,npt,:,:) Eec_t = statev_Eec_t(noel,npt,:) ! Crystal orientations at former time step gmatinv_t = statev_gmatinv_t(noel,npt,:,:) ! Backstress at former time step X_t = statev_backstress_t(noel,npt,1:nslip) ! ! ! Material parameters are constant caratio = caratio_all(matid) cubicslip = cubicslip_all(matid) Cc = Cc_all(matid,:,:) gf = gf_all(matid) G12 = G12_all(matid) alphamat = alphamat_all(matid,:,:) burgerv = burgerv_all(matid,1:nslip) ! ! sintmat1 = sintmat1_all(matid,1:nslip,1:nslip) sintmat2 = sintmat2_all(matid,1:nslip,1:nslip) hintmat1 = hintmat1_all(matid,1:nslip,1:nslip) hintmat2 = hintmat2_all(matid,1:nslip,1:nslip) ! ! ! smodel = slipmodel_all(matid) sparam = slipparam_all(matid,1:maxnparam) cmodel = creepmodel_all(matid) cparam = creepparam_all(matid,1:maxnparam) hmodel = hardeningmodel_all(matid) hparam = hardeningparam_all(matid,1:maxnparam) imodel = irradiationmodel_all(matid) iparam = irradiationparam_all(matid,1:maxnparam) bparam = backstressparam_all(matid,1:maxnparam) ! ! ! ! ! Temperature is constant and defined by the user if (constanttemperature == 1) then ! ! ! Assign temperature mattemp = temperature ! ! ! ! Temperature is defined by ABAQUS ! Material properties are entered every time ! Because properties can be temperature dependent else if (constanttemperature == 0) then ! ! Use ABAQUS temperature (must be in K) mattemp = temp ! ! ! get material constants call materialparam(matid,mattemp, + dum1,dum2,dum3,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,notused1, ! state variables are NOT updated here + notused2,notused3,notused8,notused9, + smodel,sparam,cmodel,cparam, + hmodel,hparam,imodel,iparam, + notused4,notused5,notused6, + notused7,bparam) ! Interaction matrices are not updated here ! ! ! ! ! end if ! ! ! ! ! ! ! ! Slip directions in the sample reference call rotateslipsystems(phaid,nslip,caratio, + gmatinv_t,dirc_0,norc_0,dirs_t,nors_t) ! ! ! Calculate Schmid tensors and Schmid dyadic Schmid=0.; SchmidxSchmid=0. do is=1,nslip ! ! Slip direction sdir = dirs_t(is,:) ! Slip plane normal ndir = nors_t(is,:) ! do i=1,3 do j=1,3 SNij(i,j) = sdir(i)*ndir(j) NSij(j,i) = ndir(j)*sdir(i) Schmid(is,i,j) = SNij(i,j) enddo enddo ! ! ! ! call gmatvec6(SNij,sni) ! call gmatvec6(NSij,nsi) ! ! Vectorized Schmid tensor Schmidvec(is,1:6) = sni ! do i=1,6 do j=1,6 SchmidxSchmid(is,i,j)=sni(i)*nsi(j) enddo enddo ! enddo ! ! ! ! Calculate total and forest density call totalandforest(phaid, nscrew, nslip, + gnd_t, ssd_t, + ssdtot_t, forest_t, + forestproj, slip2screw, rhotot_t, + sumrhotot_t, rhofor_t) ! ! ! ! Calculate crss call slipresistance(phaid, nslip, gf, G12, + burgerv, sintmat1, sintmat2, tauc_t, + rhotot_t, sumrhotot_t, rhofor_t, substructure_t, + tausolute_t, loop_t, hmodel, hparam, imodel, iparam, + mattemp, tauceff_t) ! ! ! ! ! Elastic stiffness in the sample reference ! ! Rotation matrix - special for symmetric 4th rank transformation call rotord4sig(gmatinv_t,rot4) ! ! ! ! Elasticity tensor in sample reference dummy66=matmul(rot4,Cc) Cs = matmul(dummy66,transpose(rot4)) ! !! To avoid numerical problems ! Cs = (Cs + transpose(Cs))/2. ! ! ! ! ! ! CALCULATION OF THERMAL STRAINS ! ! No thermal strains if (constanttemperature == 1) then ! ! dstranth = 0. ! F = dfgrd1 ! F_t = dfgrd0 ! Fth = Fth_t ! ! Thermal strains if temperature change is defined by ABAQUS else ! ! Thermal eigenstrain in the crystal reference system dstranth33 = dtemp*alphamat ! ! Transform the thermal strains to sample reference dstranth33 = matmul(matmul(gmatinv_t,dstranth33), + transpose(gmatinv_t)) ! ! ! ! ! ! Convert to a vector call matvec6(dstranth33,dstranth) ! ! Shear corrections dstranth(4:6) = 2.0*dstranth(4:6) ! ! ! ! Thermal deformation gradient Fth = Fth_t + dstranth33 ! ! Invert the thermal distortions call inv3x3(Fth,invFth,detFth) ! call inv3x3(Fth_t,invFth_t,detFth_t) ! ! Take out the thermal distortions from the total deformation F = matmul(dfgrd1,invFth) ! F_t = matmul(dfgrd0,invFth_t) ! ! ! end if ! ! ! ! ! MECHANICAL PART OF THE DEFORMATION GRADIENT ! Calculate velocity gradient ! Rate of deformation gradient Fdot = (F - F_t) / dt ! ! Inverse of the deformation gradient call inv3x3(F,Finv,detF) ! ! Velocity gradient L = matmul(Fdot,Finv) ! ! ! ! ! ! ! CALCULATION OF TOTAL & MECHANICAL STRAINS ! ! Total stain increment from velocity gradient dstran33=(L+transpose(L))*0.5*dt ! ! ! call matvec6(dstran33,dstran) ! ! Shear corrections dstran(4:6) = 2.0*dstran(4:6) ! ! ! Total spin W=(L-transpose(L))*0.5 ! ! ! ! Total spin increment - components ! This is corrected as follows: Eralp - Alvaro 19.02.2023 ! The solution in Huang et al gives the negative -1/2*W ! We obtained the spin directly from velocity gradient ! 1. It is positive ! 2. It has to be divided by 2 domega(1) = W(1,2) - W(2,1) domega(2) = W(3,1) - W(1,3) domega(3) = W(2,3) - W(3,2) domega = domega * dt / 2. ! ! ! ! ! Store the stress before rotation correction sigmarot_t = sigma_t ! ! ! CALCULATION OF TRIAL STRESS ! ! Trial stress sigmatr = sigma_t + matmul(Cs,dstran) ! ! ! ! 3x3 stress tensor call vecmat6(sigma_t,sigma33_t) ! ! ! ! Co-rotational stress sigma33_t = sigma33_t + + (matmul(W,sigma33_t) - + matmul(sigma33_t,W))*dt ! ! ! ! Vectorize the initial guess call matvec6(sigma33_t,sigma_t) ! ! ! ! ! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tau_t(is) = dot_product(Schmidvec(is,:),sigma_t) end do ! ! ! ! CALCULATE TRIAL-RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tautr(is) = dot_product(Schmidvec(is,:),sigmatr) abstautr(is) = abs(tautr(is)) end do ! ! ! maximum ratio of rss to crss maxx = maxval(abstautr/tauceff_t) ! ! ! ! ! DECISION FOR USING CRYSTAL PLASTICITY ! BASED ON THRESHOLD VALUE ! ! Elastic solution if (maxx <= maxxcr) then ! ! ! ! ! stress sigma = sigmatr ! ! material tangent jacobi = Cs ! ! ! Assign the global state variables ! For NO SLIP condition totgammasum=totgammasum_t gammasum=gammasum_t gammadot=0. tauceff=tauceff_t tauc=tauc_t gnd=gnd_t ssd=ssd_t loop = loop_t ssdtot=ssdtot_t forest=forest_t substructure=substructure_t evmp=evmp_t plasdiss=plasdiss_t tausolute=tausolute_t Fp=Fp_t X=X_t cpconv=1 cpconv0=0 ! ! Update orietnations ! All the orientation changes are elastic - rotations dW33=0. dW33(1,2) = domega(1) dW33(1,3) = -domega(2) dW33(2,1) = -domega(1) dW33(2,3) = domega(3) dW33(3,1) = domega(2) dW33(3,2) = -domega(3) ! gmatinv = gmatinv_t + matmul(dW33,gmatinv_t) ! ! Elastic strains in the crystal lattice ! Add the former elastic strains ! ! Undo shear corrections dummy6 = dstran dummy6(4:6) = 0.5*dummy6(4:6) ! ! Convert the strain into matrix call vecmat6(dummy6,dummy33) ! ! Elastic strains in the crystal reference dummy33_ = matmul(transpose(gmatinv),dummy33) dummy33 = matmul(dummy33_,gmatinv) ! ! ! Vectorize call matvec6(dummy33,dummy6) ! ! Shear corrections dummy6(4:6) = 2.0*dummy6(4:6) ! Eec=Eec_t+dummy6 ! ! ! ! ! Solve using crystal plasticity else ! ! ! ! Guess if Forward Gradient Predictor scheme is not active if (predictor == 0) then ! sigma0 = (1.-phi)*sigma_t + phi*sigmatr ! ! ! ! This part is added by Chris Hardie (11/05/2023) ! Former stress scheme elseif (predictor == 1) then ! ! ! if (dt_t > 0.0) then ! do i = 1, 6 sigma0(i) = + statev_sigma_t(noel,npt,i) + + (statev_sigma_t(noel,npt,i) - + statev_sigma_t2(noel,npt,i))*dt/dt_t end do ! else sigma0 = sigma_t end if ! ! ! ! ! ! ! ! ! ! end if ! ! ! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tau0(is) = dot_product(Schmidvec(is,:),sigma0) end do ! ! ! call CP_Dunne(matid, phaid, + nslip, nscrew, mattemp, Cs, gf, G12, + burgerv, cubicslip, caratio, + Fp_t, gmatinv_t, Eec_t, + gammadot_t, gammasum_t, + totgammasum_t, evmp_t, plasdiss_t, + sigma0, tau0, sigmatr, + forestproj, slip2screw, + Schmid_0, Schmid, + Schmidvec, SchmidxSchmid, + smodel, sparam, cmodel, cparam, + imodel, iparam, hmodel, hparam, + bparam, sintmat1, sintmat2, + hintmat1, hintmat2, + tauceff_t, tauc_t, rhotot_t, + sumrhotot_t, ssdtot_t, + rhofor_t, forest_t, substructure_t, + gnd_t, ssd_t, loop_t, X_t, + dt, L, dstran, + Fp, gmatinv, Eec, + gammadot, gammasum, + totgammasum, evmp, plasdiss, + tauceff, tauc, tausolute, + ssdtot, ssd, loop, X, + forest, substructure, + sigma, jacobi, cpconv) ! ! ! ! ! ! ! ! ! ! ! STILL NOT CONVERGED THE CUTBACK TIME ! Convergence check ! Use cpsolver did not converge ! Diverged! - use time cut backs if (cpconv == 0) then ! ! Set the outputs to zero initially sigma = 0.!statev_sigma_t(noel,npt,:) jacobi = 0.!statev_jacobi_t(noel,npt,:,:) ! Set time cut back and send a message pnewdt = cutback ! endif ! ! ! ! endif ! ! ! ! ! ! ! Assign the global state variables statev_gammasum(noel,npt,1:nslip)=gammasum statev_gammadot(noel,npt,1:nslip)=gammadot statev_tauc(noel,npt,1:nslip)=tauc statev_ssd(noel,npt,1:nslip)=ssd statev_loop(noel,npt,1:maxnloop)=loop statev_ssdtot(noel,npt)=ssdtot statev_forest(noel,npt,1:nslip)=forest statev_substructure(noel,npt)=substructure statev_evmp(noel,npt)=evmp statev_maxx(noel,npt)=maxx statev_totgammasum(noel,npt)=totgammasum statev_tausolute(noel,npt)=tausolute statev_sigma(noel,npt,1:6)=sigma statev_jacobi(noel,npt,1:6,1:6)=jacobi statev_Fp(noel,npt,1:3,1:3)=Fp statev_Fth(noel,npt,1:3,1:3)=Fth statev_Eec(noel,npt,1:6)=Eec ! Crystal orientations at former time step statev_gmatinv(noel,npt,1:3,1:3)=gmatinv ! Backstress statev_backstress(noel,npt,1:nslip)=X ! Plastic dissipation power density statev_plasdiss(noel,npt)=plasdiss ! Overall CRSS statev_tauceff(noel,npt,1:nslip)=tauceff ! ! Write the outputs for post-processing ! If outputs are defined by the user if (nstatv_outputs>0) then ! call assignoutputs(noel,npt,nstatv,statev) ! end if ! ! ! ! ! ! return end subroutine solve ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! Semi-implicit / Explicit state update rule ! Solution using state variables at the former time step subroutine CP_Dunne(matid, phaid, + nslip, nscrew, mattemp, Cs, gf, G12, + burgerv, cubicslip, caratio, + Fp_t, gmatinv_t, Eec_t, + gammadot_t, gammasum_t, + totgammasum_t, evmp_t, plasdiss_t, + sigma0, tau0, + sigmatr, forestproj, slip2screw, + Schmid_0, Schmid, + Schmidvec, SchmidxSchmid, + slipmodel, slipparam, + creepmodel, creepparam, + irradiationmodel, irradiationparam, + hardeningmodel, hardeningparam, + backstressparam, + sintmat1, sintmat2, + hintmat1, hintmat2, + tauceff_t, tauc_t, rhotot_t, + sumrhotot_t, ssdtot_t, rhofor_t, + forest_t, substructure_t, + gnd_t, ssd_t, loop_t, X_t, + dt, L, dstran, + Fp, gmatinv, Eec, + gammadot, gammasum, + totgammasum, evmp, plasdiss, + tauceff, tauc, tausolute, + ssdtot, ssd, loop, X, + forest, substructure, + sigma, jacobi, cpconv) ! use globalvariables, only : I3, I6, smallnum ! use userinputs, only : maxniter, maxnparam, maxnloop, + tauctolerance , SVDinversion, + backstressmodel, stateupdate, inversebackup ! use innerloop, only : Dunne_innerloop, Hardie_innerloop ! use utilities, only : vecmat6, matvec6, + nolapinverse, deter3x3, inv3x3, trace3x3, + vecmat9, matvec9, nolapinverse, SVDinverse ! use slip, only : sinhslip, doubleexpslip, + powerslip ! use creep, only : expcreep ! use hardening, only: hardeningrules ! use backstress, only: backstressmodel1 ! use crss, only: slipresistance, totalandforest ! use errors, only : error ! implicit none ! ! ! INPUTS ! ! material-id integer, intent(in) :: matid ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! number of screw sytems integer, intent(in) :: nscrew ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! geometric factor real(8), intent(in) :: gf ! elastic shear modulus real(8), intent(in) :: G12 ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! plastic part of the deformation gradient at former time step real(8), intent(in) :: Fp_t(3,3) ! Crystal to sample transformation martrix at former time step real(8), intent(in) :: gmatinv_t(3,3) ! Lattice strains real(8), intent(in) :: Eec_t(6) ! slip rates at the former time step real(8), intent(in) :: gammadot_t(nslip) ! total slip per slip system accumulated over the time ! at the former time step real(8), intent(in) :: gammasum_t(nslip) ! overall total slip at the former time step real(8), intent(in) :: totgammasum_t ! Von-Mises equivalent total plastic strain at the former time step real(8), intent(in) :: evmp_t ! Plastic dissipation power density at the former time step real(8), intent(in) :: plasdiss_t ! Cauchy stress guess real(8), intent(in) :: sigma0(6) ! rss guess real(8), intent(in) :: tau0(nslip) ! trial stress real(8), intent(in) :: sigmatr(6) ! Forest projections real(8), intent(in) :: forestproj(nslip,nslip+nscrew) ! Forest projections real(8), intent(in) :: slip2screw(nscrew,nslip) ! Initial Schmid tensor real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! creep model no. integer, intent(in) :: creepmodel ! creep model parameters real(8), intent(in) :: creepparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! hardening model no. integer, intent(in) :: hardeningmodel ! hardening model parameters real(8), intent(in) :: hardeningparam(maxnparam) ! backstress model parameters real(8), intent(in) :: backstressparam(maxnparam) ! ! Interaction matrices ! Strength interaction between dislocations real(8), intent(in) :: sintmat1(nslip,nslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(in) :: sintmat2(nslip,nslip) ! Latent hardening real(8), intent(in) :: hintmat1(nslip,nslip) ! Hardening interaction matrix between dislocations real(8), intent(in) :: hintmat2(nslip,nslip) ! ! ! overall crss real(8), intent(in) :: tauceff_t(nslip) ! crss at former time step real(8), intent(in) :: tauc_t(nslip) ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: rhotot_t(nslip) ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: sumrhotot_t ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: ssdtot_t ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor_t(nslip) ! forest dislocation density per slip system at the former time step (hardening model = 4) real(8), intent(in) :: forest_t(nslip) ! substructure dislocation density at the former time step real(8), intent(in) :: substructure_t ! statistically-stored dislocation density per slip system at the former time step real(8), intent(in) :: gnd_t(nslip+nscrew) ! statistically-stored dislocation density per slip system at the former time step real(8), intent(in) :: ssd_t(nslip) ! loop defect density per slip system at the former time step real(8), intent(in) :: loop_t(maxnloop) ! backstress at former time step real(8), intent(in) :: X_t(nslip) ! time increment real(8), intent(in) :: dt ! total velocity gradient at the current time step real(8), intent(in) :: L(3,3) ! mechanical strain increment real(8), intent(in) :: dstran(6) ! ! ! ! OUTPUTS ! ! plastic part of the deformation gradient real(8), intent(out) :: Fp(3,3) ! Crystal to sample transformation martrix at current time step real(8), intent(out) :: gmatinv(3,3) ! Green-Lagrange strains in the crystal reference real(8), intent(out) :: Eec(6) ! slip rates at the current time step real(8), intent(out) :: gammadot(nslip) ! total slip per slip system accumulated over the time ! at the current time step real(8), intent(out) :: gammasum(nslip) ! overall total slip at the current time step real(8), intent(out) :: totgammasum ! Von-Mises equivalent total plastic strain at the current time step real(8), intent(out) :: evmp ! Plastic dissipation power density at the current time step real(8), intent(out) :: plasdiss ! Current values of state variables ! overall crss real(8), intent(out) :: tauceff(nslip) ! crss at the current time step real(8), intent(out) :: tauc(nslip) ! solute strength due to irradiation hardening real(8), intent(out) :: tausolute ! total dislocation density over all slip systems at the current time step real(8), intent(out) :: ssdtot ! forest dislocation density per slip system at the current time step real(8), intent(out) :: forest(nslip) ! substructure dislocation density at the current time step real(8), intent(out) :: substructure ! statistically-stored dislocation density per slip system at the current time step real(8), intent(out) :: ssd(nslip) ! loop defect density per slip system at the current time step real(8), intent(out) :: loop(maxnloop) ! crss at the current time step real(8), intent(out) :: X(nslip) ! Cauchy stress real(8), intent(out) :: sigma(6) ! material tangent real(8), intent(out) :: jacobi(6,6) ! convergence flag integer, intent(out) :: cpconv ! ! ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3), Dp_s(3,3) ! plastic velocity gradient for creep real(8) Lp_c(3,3), Dp_c(3,3) ! plastic velocity gradient real(8) Lp(3,3), Dp(3,3) ! plastic tangent stiffness for slip real(8) Pmat_s(6,6) ! plastic tangent stiffness for creep real(8) Pmat_c(6,6) ! tangent matrix for NR iteration real(8) Pmat(6,6) ! slip rates for slip real(8) gammadot_s(nslip) ! slip rates for creep real(8) gammadot_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtau_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtau_c(nslip) ! derivative of slip rates wrto crss for slip real(8) dgammadot_dtauc_s(nslip) ! derivative of slip rates wrto crss for creep real(8) dgammadot_dtauc_c(nslip) ! ! ! rss at the former time step real(8) :: tau(nslip) ! absolute RSS and sign (used in Hardie scheme) real(8) :: abstau(nslip), signtau(nslip) ! ! trial absolute RSS and sign (used in Hardie scheme) real(8) :: tautr(nslip), abstautr(nslip), signtautr(nslip) ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8) :: dpsi_dsigma(6,6), invdpsi_dsigma(6,6) ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psi(6) ! ! Von-Mises equivalent plastic strain rate and increment real(8) :: pdot ! ! stress increment real(8) :: dsigma(6) ! ! stress 3x3 matrix real(8) :: sigma33(3,3) ! ! plastic part of the deformation gradient real(8) :: detFp, invFp(3,3) ! ! elastic part of the deformation gradient real(8) :: Fe(3,3) ! ! elastic part of the velocity gradient real(8) :: Le(3,3) ! ! elastic spin real(8) :: We(3,3) ! ! increment in rotation matrix real(8) :: dR(3,3) ! ! Von-Mises stress real(8) :: sigmaii, vms, sigmadev(3,3) ! ! Co-rotational stress update real(8) :: dotsigma33(3,3) ! ! Cauchy stress at former time step in 3x3 real(8) :: sigma33_t(3,3) ! ! Total mechanical strain increment real(8) :: dstran33(3,3) ! ! plastic strain increment real(8) :: dstranp33(3,3) ! ! elastic strain increment real(8) :: dstrane33(3,3) ! ! crss increment real(8) :: dtauc(nslip) ! ! ! ssd density increment real(8) :: dssd(nslip) ! ! ssd density increment real(8) :: dloop(maxnloop) ! ! backstress increment real(8) :: dX(nslip) ! ! total ssd density increment real(8) :: dssdtot ! ! forest dislocation density increment real(8) :: dforest(nslip) ! ! substructure dislocation density increment real(8) :: dsubstructure ! ! Residues real(8) :: dtauceff(nslip), tauceff_old(nslip) ! ! ! overall forest density real(8) :: rhofor(nslip) ! ! overall total density real(8) :: rhotot(nslip) ! ! overall total scalar density real(8) :: sumrhotot ! ! Overall residue real(8) :: dtauceffnorm ! ! error flag for svd inversion integer :: err ! ! other variables real(8) :: dummy3(3), dummy33(3,3), + dummy33_(3,3), dummy6(6), dummy0 integer :: is, il, iter, oiter integer :: iterinverse ! ! ! Set convergence flag to "converged" cpconv = 1 ! ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigma0 tau = tau0 ! ! ! State assignments gammasum=gammasum_t tauc = tauc_t tauceff = tauceff_t ssdtot = ssdtot_t ssd = ssd_t loop = loop_t rhofor = rhofor_t X = X_t forest = forest_t substructure = substructure_t ! ! Reset variables for the inner iteration oiter = 0 dtauceffnorm = 1. ! ! ! Outer loop for state update do while ((dtauceffnorm >= tauctolerance) +.and.(oiter < maxniter).and.(cpconv==1)) ! ! ! ! call Dunne_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! ! ! convergence check if (iter == maxniter) then ! did not converge cpconv = 0 end if ! ! ! Check for NaN in the slip rate vector if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 endif ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 endif ! ! Check for NaN in the stress vector if(any(sigma/=sigma)) then ! did not converge cpconv = 0 endif ! ! ! Inverse scheme start here!!! ! Try inverse scheme if not converged if ((cpconv==0).and.(inversebackup==1)) then ! ! Reset convergence flag cpconv=1 ! ! Calculate trial-resolved shear stress on slip systems ! Absolute value of trial-RSS and its sign do is = 1, nslip tautr(is) = dot_product(Schmidvec(is,:),sigmatr) signtautr(is) = sign(1.0,tautr(is)) abstautr(is) = abs(tautr(is)) end do ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigma0 tau = tau0 ! Absolute value of RSS and its sign do is = 1, nslip signtau(is) = sign(1.0,tau0(is)) abstau(is) = abs(tau0(is)) end do ! ! Reverse slip scheme call Hardie_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + irradiationmodel, + irradiationparam, + dt,sigmatr, + abstautr,signtautr, + tauceff,rhofor,X, + sigma,iterinverse) ! ! ! ! ! Recalculate RSS on slip systems ! RSS and its sign do is = 1, nslip tau(is) = dot_product(Schmidvec(is,:),sigma) end do ! ! ! Call the Dunne solver again call Dunne_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! ! assign jacobi and stress if (cpconv == 0) then return end if ! end if ! End of inverse solution ! ! ! ! Calculate Von Mises invariant plastic strain rate pdot=sqrt(2./3.*sum(Dp*Dp)) ! ! ! Total plastic strain increment evmp = evmp_t + pdot*dt ! ! Total slip over time per slip system gammasum = 0. do is = 1, nslip ! gammasum(is) = gammasum_t(is) + + gammadot(is)*dt ! enddo ! ! ! Total slip totgammasum = totgammasum_t + + sum(abs(gammadot))*dt ! ! ! ! convergence check if (iter == maxniter) then ! did not converge cpconv = 0 return end if ! ! ! ! Check for NaN in the slip rate vector if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 return endif ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 return endif ! ! Check for NaN in the stress vector if(any(sigma/=sigma)) then ! did not converge cpconv = 0 return endif ! ! ! ! ! ! ! ! ! Update the states using hardening laws call hardeningrules(phaid,nslip, + mattemp,dt,G12,burgerv, + totgammasum,gammadot,pdot, + irradiationmodel,irradiationparam, + hardeningmodel,hardeningparam, + hintmat1,hintmat2, + tauc_t,ssd_t,loop_t, + rhofor_t,rhotot_t,substructure_t, + tausolute,dtauc,dssdtot,dforest, + dsubstructure,dssd,dloop) ! ! ! ! ! Update the hardening states ! tauc = tauc_t + dtauc ! ssd = ssd_t + dssd ! loop = loop_t + dloop ! ssdtot = ssdtot_t + dssdtot ! forest = forest_t + dforest ! substructure = substructure_t + dsubstructure ! ! ! ! Recalculate total and forest density call totalandforest(phaid, + nscrew, nslip, gnd_t, + ssd, ssdtot, forest, + forestproj, slip2screw, rhotot, + sumrhotot, rhofor) ! ! ! ! Store the former value of effective tauc tauceff_old = tauceff ! ! Recalculate slip resistance for the next iteration ! Calculate crss call slipresistance(phaid, nslip, + gf, G12, burgerv, sintmat1, sintmat2, + tauc, rhotot, sumrhotot, rhofor, + substructure, tausolute, loop, + hardeningmodel, hardeningparam, + irradiationmodel, irradiationparam, + mattemp, tauceff) ! ! ! Calculate the change of state ! with respect to the former increment dtauceff = abs(tauceff-tauceff_old) ! ! Explicit state update if (stateupdate==0) then dtauceffnorm = 0. ! Semi-implicit state update elseif (stateupdate==1) then dtauceffnorm = maxval(dtauceff) end if ! ! ! ! Check if the statevariables going negative due to softening ! This may happen at high temperature and strain rates constants going bad if(any(tauc < 0.)) then ! did not converge cpconv = 0 return endif ! if(any(ssd < 0.)) then ! did not converge cpconv = 0 return endif ! ! Loop density set to zero if negative do il = 1, maxnloop if(loop(il) < 0.) then ! loop(il) = 0. ! endif enddo ! ! if(any(forest < 0.)) then ! did not converge cpconv = 0 return endif ! if(substructure < 0.) then ! did not converge cpconv = 0 return endif ! ! ! Update backstress if local model is selected if (backstressmodel==1) then ! call backstressmodel1(backstressparam, + nslip,X,gammadot,dt,dX) ! ! Update the backstress X = X_t + dX ! end if ! ! ! increment iteration no. oiter = oiter + 1 ! ! End of state update (outer loop) end do ! ! ! ! convergence check if (oiter == maxniter) then ! did not converge cpconv = 0 return end if ! ! ! ! ! calculate jacobian jacobi = matmul(invdpsi_dsigma,Cs) ! ! ! ! Check for NaN in the jacobi matrix if(any(jacobi/=jacobi)) then ! did not converge cpconv = 0 return endif ! ! ! ! ! convert it to 3x3 marix call vecmat6(sigma,sigma33) ! ! Trace of stress call trace3x3(sigma33,sigmaii) ! ! deviatoric stress sigmadev = sigma33 - sigmaii*I3/3. ! ! Von-Mises stress vms = sqrt(3./2.*(sum(sigmadev*sigmadev))) ! ! ! variables for plastic part of the deformation gradient !dummy33 = I3 - Lp*dt !call inv3x3(dummy33,dummy33_,dummy0) dummy33_ = I3 + Lp*dt ! ! plastic part of the deformation gradient Fp = matmul(dummy33_,Fp_t) ! ! determinant call deter3x3(Fp,detFp) ! ! ! ! ! check wheter the determinant is negative ! or close zero if (detFp <= smallnum) then ! did not converge cpconv = 0 return else ! Scale Fp with its determinant to make it isochoric Fp = Fp / detFp**(1./3.) ! end if ! ! ! ! ! ! ! Elastic part of the velocity gradient Le = L - Lp ! ! Elastic spin We = (Le - transpose(Le)) / 2. ! ! ! ! stress rate due to spin dotsigma33 = matmul(We,sigma33) - matmul(sigma33,We) ! ! ! Update co-rotational sress state sigma33 = sigma33 + dotsigma33*dt ! ! ! Vectorize stress call matvec6(sigma33,sigma) ! ! ! ! ! ! Orientation update ! ! Intermediate variable dR = I3 - We*dt ! ! Invert or transpose since rotations are orthogonal dR = transpose(dR) ! ! ! ! Update the crystal orientations gmatinv = matmul(dR, gmatinv_t) ! ! ! ! ! Undo shear corrections dummy6 = dstran dummy6(4:6) = 0.5*dummy6(4:6) ! ! Convert the strain into matrix call vecmat6(dummy6,dstran33) ! ! Elastic strain increment dstrane33 = dstran33-dstranp33 ! ! Elastic strains in the crystal reference dummy33_ = matmul(transpose(gmatinv),dstrane33) dummy33 = matmul(dummy33_,gmatinv) ! ! Vectorize call matvec6(dummy33,dummy6) ! ! Shear corrections dummy6(4:6) = 2.0*dummy6(4:6) ! ! Add the strain increment to the former value Eec=Eec_t+dummy6 ! ! ! Plastic dissipation power density plasdiss=0. do is = 1, nslip ! plasdiss = plasdiss + + tau(is)*gammadot(is)*dt ! enddo ! ! ! Sum over the fomer value plasdiss = plasdiss_t + plasdiss ! ! ! ! ! ! ! ! ! ! ! return end subroutine CP_Dunne ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! Implicit state update rule ! Solution using the updated state variables subroutine rotateslipsystems(iphase,nslip,caratio, + gmatinv,dirc,norc,dirs,nors) implicit none integer, intent(in) :: iphase integer, intent(in) :: nslip real(8), intent(in) :: caratio real(8), intent(in) :: gmatinv(3,3) real(8), intent(in) :: dirc(nslip,3) real(8), intent(in) :: norc(nslip,3) real(8), intent(out) :: dirs(nslip,3) real(8), intent(out) :: nors(nslip,3) ! integer :: i, is real(8) :: tdir(3), tnor(3) real(8) :: tdir1(3), tnor1(3) real(8) :: dirmag, normag ! dirs=0.;nors=0. ! ! do is=1,nslip ! rotate slip directions ! tdir = dirc(is,:) tnor = norc(is,:) ! ! ! tdir1 = matmul(gmatinv,tdir) tnor1 = matmul(gmatinv,tnor) ! dirmag = norm2(tdir1) normag = norm2(tnor1) ! ! dirs(is,:) = tdir1/dirmag nors(is,:) = tnor1/normag ! ! end do ! ! ! ! return end subroutine rotateslipsystems ! ! ! ! ! ! ! ! ! ! ! ! ! end module cpsolver ================================================ FILE: Example - Single crystal with material vox file/creep.f ================================================ ! Oct. 6th, 2022 ! Eralp Demir ! Creep laws ! 1. exponential law (used for Ni-superalloy) ! module creep implicit none contains ! ! subroutine expcreep(Schmid_0, + Schmid,SchmidxSchmid,tau,X,tauc, + dtime,nslip,iphase,T,creepparam,slipsysplasstran, + Lp,Dp,Pmat,gammadot,dgammadot_dtau,dgammadot_dtauc) ! use globalvariables, only : Rgas use utilities, only : gmatvec6 use userinputs, only: maxnparam implicit none ! Schmid tensor - undeformed real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor - deformed real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! time increment real(8), intent(in) :: dtime ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: creepparam(maxnparam) ! accumulated plastic strain on each slip system, signed real(8), intent(in) :: slipsysplasstran(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! variables used within this subroutine real(8) :: gammadotc, gammadotd, bc, bd, Qc, Qd real(8) :: abstau, signtau integer :: is ! ! ! ! ! Obtain creep parameters ! reference creep rate (1/s) gammadotc = creepparam(1) ! creep stress multiplier (1/MPa) bc = creepparam(5) ! activation energy for creep (J/mol) Qc = creepparam(3) ! reference damage rate (1/s) gammadotd = creepparam(4) ! damage stress multiplier (1/MPa) bd = creepparam(5) ! activation energy for damage (J/mol) Qd = creepparam(6) ! ! ! Pmat = 0.; Lp = 0.; Dp = 0. ! gammadot=0. dgammadot_dtau=0. dgammadot_dtauc=0. ! ! ! ! contribution to Lp of all slip systems do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! This statement is redundant so commented out! ! if (abstau > 0.0) then ! ! gammadot(is) = + signtau*gammadotc*exp(bc*abstau-Qc/Rgas/T) + + signtau*abs(slipsysplasstran(is))*gammadotd* + exp(bd*abstau-Qd/Rgas/T) ! dgammadot_dtau(is) = gammadotc*bc* + exp(bc*abstau-Qc/Rgas/T) + + abs(slipsysplasstran(is))* + gammadotd*bd*exp(bd*abstau-Qd/Rgas/T) ! ! ! ! ! contribution to Jacobian Pmat = Pmat + dtime*dgammadot_dtau(is) + *SchmidxSchmid(is,:,:) ! ! plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! ! plastic velocity gradient contribution Dp = Dp + gammadot(is)*Schmid(is,:,:) ! ! ! endif ! ! ! end do ! ! ! ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! ! ! end subroutine expcreep ! ! ! ! ! end module creep ================================================ FILE: Example - Single crystal with material vox file/crss.f ================================================ ! Oct. 03rd, 2022 ! Eralp Demir ! module crss implicit none contains ! ! ******************************************************** ! ** crss calculates the crss of slip systems ** ! ******************************************************** subroutine slipresistance(iphase,nslip,gf,G12, + burgerv,sintmat1,sintmat2, + tauc0,rhotot,sumrhotot,rhofor, + rhosub,tausolute,loop, + hardeningmodel, hardeningparam, + irradiationmodel,irradiationparam, + temperature, + tauc) use userinputs, only: useaveragestatevars, + maxnloop, maxnparam implicit none ! ! crystal type integer,intent(in) :: iphase ! ! number of slip systems integer,intent(in) :: nslip ! ! geometric factor real(8),intent(in) :: gf ! ! shear modulus for taylor dislocation law real(8),intent(in) :: G12 ! ! burgers vectors real(8),intent(in) :: burgerv(nslip) ! ! Strength interaction matrices ! Strength interaction between dislocations real(8), intent(in) :: sintmat1(nslip,nslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(in) :: sintmat2(nslip,nslip) ! ! ! critical resolved shear stress of slip systems real(8),intent(in) :: tauc0(nslip) ! ! total dislocation density (immobile) real(8),intent(in) :: rhotot(nslip) ! ! total scalar dislocation density (immobile) real(8),intent(in) :: sumrhotot ! ! forest dislocation density real(8),intent(in) :: rhofor(nslip) ! ! substructure dislocation density real(8),intent(in) :: rhosub ! ! increase in tauc due to solute force real(8),intent(in) :: tausolute ! ! increase in tauc due to loop defects real(8),intent(in) :: loop(maxnloop) ! ! hardeningmodel integer,intent(in) :: hardeningmodel ! ! hardening model parameters real(8),intent(in) :: hardeningparam(maxnparam) ! ! activate irradiation effect integer,intent(in) :: irradiationmodel ! ! irradiation model parameters real(8),intent(in) :: irradiationparam(maxnparam) ! ! current temperature real(8),intent(in) :: temperature ! ! critical resolved shear stress of slip systems real(8),intent(out) :: tauc(nslip) ! ! variables used in this subroutine integer :: is, il, nloop real(8) :: Ploop(nslip) ! ! Subtructure density real(8) :: tausub(nslip) ! Substructure factor real(8) :: ksub ! ! Precipitate strengthening parameters ! Strength factor / geometric factor real(8) :: gfp ! Number density of precipitates [1/mm^3] real(8) :: rhop ! Particle diameter [mm] real(8) :: Dp ! ! ! Reset the density of loops Ploop = 0. ! ! Reset Substructure density tausub = 0. ! ! ! Reset Precipitate strength if (hardeningmodel==5) then ! Precipitate strength parameters gfp=hardeningparam(5) rhop=hardeningparam(6) Dp=hardeningparam(7) else gfp=0.; rhop=0.; Dp=0. end if ! ! ! ! If irradiation model-2 is set ON ! Compute the strength contribution if (irradiationmodel==2) then ! ! Number of defects nloop = int(irradiationparam(1)) ! do is = 1, nslip ! ! do il = 1, 3 ! Ploop(is) = Ploop(is) + + sintmat2(is,il)**2. * loop(il) ! end do ! end do ! ! ! end if ! ! ! ! ! ! ! ! Check crystal type ! Only for alpha-uranium there is an exception ! ! ! ! Defined by data fitting ! as a function of rhofor, rhosub, and temperature if (iphase == 4) then ! ! alpha-uranium model with forest and substructure dislocations ! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tome ! Deformation of wrought uranium: experiments and modeling ! Acta Materialia 58 (2010) 5447–5459 tauc(1) = tauc0(1) + 19.066 * dsqrt(rhofor(1)) + + 1.8218 * dsqrt(rhosub) * + log(1. / burgerv(1) / dsqrt(rhosub)) tauc(2) = tauc0(2) + 18.832 * dsqrt(rhofor(2)) + + 1.7995 * dsqrt(rhosub) * + log(1. / burgerv(2) / dsqrt(rhosub)) tauc(3) = tauc0(3) + 54.052 * dsqrt(rhofor(3)) + + 5.1650 * dsqrt(rhosub) * + log(1. / burgerv(3) / dsqrt(rhosub)) tauc(4) = tauc0(4) + 54.052 * dsqrt(rhofor(4)) + + 5.1650 * dsqrt(rhosub) * + log(1. / burgerv(4) / dsqrt(rhosub)) tauc(5) = tauc0(5) + 123.357 * dsqrt(rhofor(5)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(5) / dsqrt(rhosub)) tauc(6) = tauc0(6) + 123.357 * dsqrt(rhofor(6)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(6) / dsqrt(rhosub)) tauc(7) = tauc0(7) + 123.357 * dsqrt(rhofor(7)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(7) / dsqrt(rhosub)) tauc(8) = tauc0(8) + 123.357 * dsqrt(rhofor(8)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(8) / dsqrt(rhosub)) ! ! zecevic 2016 temperature dependence tauc(1) = tauc(1) * dexp(-(temperature-293.0)/140.0) tauc(2) = tauc(2) * dexp(-(temperature-293.0)/140.0) tauc(3) = tauc(3) * dexp(-(temperature-293.0)/140.0) tauc(4) = tauc(4) * dexp(-(temperature-293.0)/140.0) tauc(5) = tauc(5) * dexp(-(temperature-293.0)/140.0) tauc(6) = tauc(6) * dexp(-(temperature-293.0)/140.0) tauc(7) = tauc(7) * dexp(-(temperature-293.0)/140.0) tauc(8) = tauc(8) * dexp(-(temperature-293.0)/140.0) ! ! daniel, lesage, 1971 minimum value as minima tauc(1) = max(tauc(1),4.0) tauc(2) = max(tauc(2),4.0) tauc(3) = max(tauc(3),4.0) tauc(4) = max(tauc(4),4.0) tauc(5) = max(tauc(5),4.0) tauc(6) = max(tauc(6),4.0) tauc(7) = max(tauc(7),4.0) tauc(8) = max(tauc(8),4.0) ! ! ! ! For any other phase ! Use forest/total dislocation spacing to determine the strength ! else ! ! Substructure density if (hardeningmodel==4) then ! do is = 1, nslip ksub = hardeningparam(9) tausub(is) = ksub*G12*burgerv(is)* + dsqrt(rhosub) *dlog(1./burgerv(is)/dsqrt(rhosub)) end do ! end if ! ! if (useaveragestatevars == 0) then ! do is = 1, nslip ! ! !! Taylor strength - total density / backstress ! tauc(is) = tauc0(is) + ! + G12*burgerv(is)*dsqrt(gf**2.*rhotot(is) + Ploop(is)) ! ! ! Taylor strength - forest spacing / cut-through tauc(is) = tauc0(is) + + G12*burgerv(is)*dsqrt(gf**2.*rhofor(is) + + Ploop(is) + gfp**2.*rhop*Dp) ! ! ! Add the effect of substructure density tauc(is) = tauc(is) + tausub(is) ! end do ! ! ! elseif (useaveragestatevars == 1) then ! ! do is = 1, nslip ! ! Taylor strength - total density tauc(is) = tauc0(is) + + G12*burgerv(is)*dsqrt(gf**2.*sumrhotot + + Ploop(is) + gfp**2.*rhop*Dp) ! ! !! Taylor strength - total density ! tauc(is) = tauc0(is)*(1.-X) + ! + G12*burgerv(is)*dsqrt(X*tauc0(is)/G12/burgerv(is) + ! + gf**2.*rhotot + Ploop(is)) ! ! ! Add the effect of substructure density tauc(is) = tauc(is) + tausub(is) ! end do ! endif ! ! ! ! ! ! ! end if ! check crystal type ! ! ! ! Effect of irradiation ! True for all crystal types if (irradiationmodel == 1) then tauc = tauc + tausolute end if ! ! ! return ! end subroutine slipresistance ! ! ! ! Calculates the total and forest density ! from SSD and GND densities using summation ! and forest projections subroutine totalandforest(iphase, nscrew, nslip, + gnd, ssd, ssdtot, forest, forestproj, slip2screw, + rhotot, sumrhotot, rhofor) use utilities, only : vecprod implicit none integer, intent(in) :: iphase integer, intent(in) :: nscrew integer, intent(in) :: nslip real(8), intent(in) :: gnd(nslip+nscrew) real(8), intent(in) :: ssd(nslip) real(8), intent(in) :: ssdtot real(8), intent(in) :: forest(nslip) real(8), intent(in) :: forestproj(nslip,nslip+nscrew) real(8), intent(in) :: slip2screw(nscrew,nslip) real(8), intent(out) :: rhotot(nslip) real(8), intent(out) :: sumrhotot real(8), intent(out) :: rhofor(nslip) ! ! local variables ! real(8) vec(3) integer i, j ! ! ! ! ! ! Compute forest density ! Add gnd and sdd contributions (if exist) ! Forest projections rhofor = forest + matmul(forestproj, abs(gnd)) + + matmul(forestproj(1:nslip,1:nslip), ssd) + ! edges + matmul(forestproj(1:nslip,nslip+1:nslip+nscrew), + matmul(slip2screw,ssd)) ! screws ! ! rhotot = ssd + + abs(gnd(1:nslip)) + ! edges + matmul(transpose(slip2screw), abs(gnd(nslip+1:nslip+nscrew))) ! screws ! ! ! ! Scalar sum sumrhotot = sqrt(sum(gnd*gnd)) + ssdtot ! ! return end subroutine totalandforest ! end module crss ================================================ FILE: Example - Single crystal with material vox file/errors.f ================================================ ! Sept. 26th, 2022 ! Eralp Demir ! ! This is written point the user to the sources of errors ! module errors implicit none ! contains ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine error(errorid) implicit none ! ! ! integer :: errorid ! ! ! Message only when exiting the subroutine ! if(errorid.eq.1) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-001: Material-ID is out of range (1-9). + Pls. check materials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.2) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-002: Element type is not defined! + Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.3) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-003: "cubicslip" integer parameter is not + properly defined. Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.4) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-004: phase id of the material is not + within the possible limits!. Pls. check PROPS variable!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.5) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-005: "temperatureflag" is not + within the possible limits. Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.6) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-006: "NSTATV" is less than the + defined outputs. + Pls. check DEPVAR in ABAQUS!' write(*,*) 'Exiting!' write(*,*) '*******************************************' else if (errorid.eq.7) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-007: GND calculation is not possible + for the selected element type. + Pls. change the element type in ABAQUS!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.8) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-008: Zero activation volume! + Pls. check the slip parameters and make sure that the + initial dislocation density has non-zero value + in usermaterials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.9) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-009: Could not read the element type + and the total number of elements from *.INP file. + Pls. check the file name in usermaterials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' else if (errorid.eq.10) then ! write(*,*) '*******************ERROR*******************' ! write(*,*) 'ERROR-010: "Bmat" for L2 method ! + is not invertible. ! + GND model will give zero GND densities!.' ! write(*,*) '*******************************************' else if (errorid.eq.11) then ! write(*,*) '******************WARNING******************' ! write(*,*) 'ERROR-006: WARNING DFGRD1 = NaN!' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '*******************************************' else if (errorid.eq.12) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-012: Lp iteration did not converge' ! write(*,*) 'Using forward-gradient Euler predictor' ! write(*,*) '**********************************************' else if (errorid.eq.13) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-013: singular matrix in Lp iteration' ! write(*,*) 'Will continue if alternate solution exists!' ! write(*,*) '**********************************************' else if (errorid.eq.14) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-014: forward-gradient Euler predictor ! + did not converge or it does not exist' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.15) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-015: tmat array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.16) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-016: NR scheme reached maximum number of ! + iterations' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.17) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-017: stress array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.18) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-018: jacobian array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.19) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-019: det(Fp) is close to zero' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.20) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-020: det(Fe) is close to zero' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.21) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-021: state variables become negative' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.22) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-022: inversion in predictor did not work' ! write(*,*) '' ! write(*,*) '**********************************************' else write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-???: Unknown error!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit end if ! ! return end subroutine error ! ! ! end module errors ================================================ FILE: Example - Single crystal with material vox file/globalvariables.f ================================================ ! Sept. 20th, 2022 ! Eralp Demir ! University of Oxford ! ! Global variables used within the code module globalvariables implicit none ! ! ! ! MATERIAL-LINKED GLOBAL VARIABLES ! ------------------------------------------------------------------------------- ! Global variable for Euler angles real(8), allocatable, public :: Euler(:,:) ! Global variable storing grain id ! Different grains can be present in the mesh integer, allocatable, public :: featureid(:,:) ! ! Global variable storing material id integer, allocatable, public :: materialid(:,:) ! ! Different phases can be present in the mesh integer, allocatable, public :: phaseid(:,:) ! ! ! ! Global variable storing phase-id ! This refers to the crystal structure ! Different phases can be present in the mesh integer, allocatable, public :: phaseid_all(:) ! ! Global variable for number of slip systems ! Number of slip systems could be different for each ip integer, allocatable, public :: numslip_all(:) ! ! Global variable for number of slip systems ! Required for GND calculations ! Number of slip systems could be different for each ip integer, allocatable, public :: numscrew_all(:) ! ! Slip model identifier ! 0: no slip (if only creep is considered) ! 1: sinh law ! 2: double exponent law ! 3: power law integer, allocatable, public :: slipmodel_all(:) ! ! Slip parameters ! Array size adjustable real(8), allocatable, public :: slipparam_all(:,:) ! For sinh law (slipmodel=1) ! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined, ! the alpha calculation will be ignored ! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined, ! the beta calculation will be ignored ! 3: psi / fraction of mobile dislocations / [-] / alpha calculation ! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation ! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation ! 6: nu0 / attempt frequency / [1/s] / alpha calculation ! 7: gamma0 / reference slip strain / [-] / beta calculation ! ! For double exponent law (slipmodel=2) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: p / inner exponent / [-] ! 3: q / outer exponent / [-] ! 4: DeltaFoct / activation energy for octahedral slip / [J/mol] ! 5: DeltaFcub / activation energy for cubic slip / [J/mol] ! ! For power law (slipmodel=3) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: n / power exponent / [-] ! ! ! Creep model identifier ! 0: no creep ! 1: sinh slip strain ! 2: exponential slip strain ! 3: power law slip strain ! 4: sinh slip strain + climb strain ! Default value is set to 0 integer, allocatable, public :: creepmodel_all(:) ! Creep parameters ! Array size adjustable real(8), allocatable, public :: creepparam_all(:,:) ! ! Hardening identifier ! 0: Hardening is off (tauc constant) ! 1: Kocks-Mecking hardening ! 2: Voce type hardening ! Default value is set to 0 integer, allocatable, public :: hardeningmodel_all(:) ! Hardening parameters ! Array size adjustable real(8), allocatable, public :: hardeningparam_all(:,:) ! ! Irradiation identifier ! 0: Irradiaion is off ! 1: Irradiation is on ! Default value is set to 0 integer, allocatable, public :: irradiationmodel_all(:) ! Irradiation model parameters ! Array size adjustable real(8), allocatable, public :: irradiationparam_all(:,:) ! 1: tau_s0: initial solute strength ! 2: gamma_s: saturation value of the cumulative slip ! 3: psi / fraction of mobile density for irradiated material for sinh law ! ! ! Backstress model parameters ! Array size adjustable (maxnmaterial, maxnparam) real(8), allocatable, public :: backstressparam_all(:,:) ! ! The following variables are stored for every element and ip ! INITALLY - only once at the beginning ! This is done for the following reasons ! 1. In order to reduce computation time ! 2. Various materials can be present in the mesh ! ! Global variable for caratio real(8), allocatable, public :: caratio_all(:) ! ! Global variable for cubicslip integer, allocatable, public :: cubicslip_all(:) ! ! Global variable for elasticity in crystal reference real(8), allocatable, public :: Cc_all(:,:,:) ! ! Global variable for geometric factor in Taylor equation real(8), allocatable, public :: gf_all(:) ! ! Global variable for shear modulus real(8), allocatable, public :: G12_all(:) ! ! Global variable for Poisson's ratio real(8), allocatable, public :: v12_all(:) ! ! Global variable for thermal expansion matrix real(8), allocatable, public :: alphamat_all(:,:,:) ! ! Global variable for Burgers vector real(8), allocatable, public :: burgerv_all(:,:) ! ! ! INTERACTION MATRICES ! Global variables for dislocation strength interaction matrix real(8), allocatable, public :: sintmat1_all(:,:,:) ! ! Global variable for dislocation irradiation loop strength interaction matrix real(8), allocatable, public :: sintmat2_all(:,:,:) ! ! Global variable for latent hardening interaction real(8), allocatable, public :: hintmat1_all(:,:,:) ! ! Global variable for dislocation hardening interaction real(8), allocatable, public :: hintmat2_all(:,:,:) ! ! Screw systems integer, allocatable, public :: screw_all(:,:) ! ! ! ! ------------------------------------------------------------------------------- ! ! ! ! ! TIME (SOLUTION) DEPENDENT GLOBAL VARIABLES ! ------------------------------------------------------------------------------- ! time at former time step real(8), public :: time_old ! ! time increment at former time step real(8), public :: dt_t ! ! Global initialization flag for elemental initialization ! Orientation assigment ! Initial slip direction calculations ! Global coordinates integer, allocatable, public :: initialized_firstinc(:,:) ! ! ! Global initialization flag for IP initialization integer, allocatable, public :: ip_init(:,:) ! ! Global one-time initialization flag integer, public :: init_once ! ! Global one-time initialization flag integer, public :: grad_init ! ! Global flag for IP count (10m elements, 100 ips) integer, allocatable, public :: ip_count(:,:) ! ! Crystal orientation at current time step real(8), allocatable, public :: statev_gmatinv(:,:,:,:) ! Crystal orientation at former time step real(8), allocatable, public :: statev_gmatinv_t(:,:,:,:) ! Crystal orientation initially real(8), allocatable, public :: statev_gmatinv_0(:,:,:,:) ! ! Total cumulative Von-Mises equivalent plastic strain at current time step real(8), allocatable, public :: statev_evmp(:,:) ! Total cumulative Von-Mises equivalent plastic strain at former time step real(8), allocatable, public :: statev_evmp_t(:,:) ! ! Plastic dissipation power density at current time step real(8), allocatable, public :: statev_plasdiss(:,:) ! Plastic dissipation power density at former time step real(8), allocatable, public :: statev_plasdiss_t(:,:) ! ! Effective critical resolved shear stress at current time step real(8), allocatable, public :: statev_tauceff(:,:,:) ! ! ! Total cumulative slip at current time step real(8), allocatable, public :: statev_totgammasum(:,:) ! Total cumulative slip at former time step real(8), allocatable, public :: statev_totgammasum_t(:,:) ! ! Cumulative slip at current time step real(8), allocatable, public :: statev_gammasum(:,:,:) ! Cumulative slip at former time step real(8), allocatable, public :: statev_gammasum_t(:,:,:) ! ! Slip rates at current time step real(8), allocatable, public :: statev_gammadot(:,:,:) ! Slip rates at former time step real(8), allocatable, public :: statev_gammadot_t(:,:,:) ! ! ! Plastic part of the deformation gradient at current time step real(8), allocatable, public :: statev_Fp(:,:,:,:) ! Plastic part of the deformation gradient at former time step real(8), allocatable, public :: statev_Fp_t(:,:,:,:) ! ! ! Thermal part of the deformation gradient at current time step real(8), allocatable, public :: statev_Fth(:,:,:,:) ! Thermal part of the deformation gradient at former time step real(8), allocatable, public :: statev_Fth_t(:,:,:,:) ! ! ! Cauchy stress at current time step real(8), allocatable, public :: statev_sigma(:,:,:) ! Cauchy stress at former time step real(8), allocatable, public :: statev_sigma_t(:,:,:) ! Cauchy stress at previous time step real(8), allocatable, public :: statev_sigma_t2(:,:,:) ! ! Cauchy stress at current time step real(8), allocatable, public :: statev_jacobi(:,:,:,:) ! Cauchy stress at former time step real(8), allocatable, public :: statev_jacobi_t(:,:,:,:) ! ! ! Critical resolved shear stress at current time step real(8), allocatable, public :: statev_tauc(:,:,:) ! Critical resolved shear stress at former time step real(8), allocatable, public :: statev_tauc_t(:,:,:) ! ! maximum of the tau/tauc ratio at current time step real(8), allocatable, public :: statev_maxx(:,:) ! maximum of tau/tauc ratio at former time step real(8), allocatable, public :: statev_maxx_t(:,:) ! ! elastic strains at the crystal ref. at current time step real(8), allocatable, public :: statev_Eec(:,:,:) ! elastic strains at the crystal ref. at former time step real(8), allocatable, public :: statev_Eec_t(:,:,:) ! ! Lattice curvature at current time step real(8), allocatable, public :: statev_curvature(:,:,:) ! ! Incompatibility at current time step real(8), allocatable, public :: statev_Lambda(:,:,:) ! Incompatibility at former time step real(8), allocatable, public :: statev_Lambda_t(:,:,:) ! ! GND density per slip system at current time step real(8), allocatable, public :: statev_gnd(:,:,:) ! GND density per slip system at former time step real(8), allocatable, public :: statev_gnd_t(:,:,:) ! GND density per slip system initially - EBSD import real(8), allocatable, public :: statev_gnd_0(:,:,:) ! ! SSD density per slip system at current time step real(8), allocatable, public :: statev_ssd(:,:,:) ! SSD density per slip system at former time step real(8), allocatable, public :: statev_ssd_t(:,:,:) ! ! Total SSD density at current time step real(8), allocatable, public :: statev_ssdtot(:,:) ! Total SSD density at former time step real(8), allocatable, public :: statev_ssdtot_t(:,:) ! ! Forest dislocation density per slip system at current time step real(8), allocatable, public :: statev_forest(:,:,:) ! Forest dislocation density per slip system at former time step real(8), allocatable, public :: statev_forest_t(:,:,:) ! ! Substructure dislocation density for irradiation per slip system at current time step real(8), allocatable, public :: statev_substructure(:,:) ! Substructure dislocation density for irradiation per slip system at former time step real(8), allocatable, public :: statev_substructure_t(:,:) ! ! Solute strength for irradiation per slip system at current time step real(8), allocatable, public :: statev_tausolute(:,:) ! Solute strength for irradiation per slip system at former time step real(8), allocatable, public :: statev_tausolute_t(:,:) ! ! ! Defect loop density for irradiation per slip system at current time step real(8), allocatable, public :: statev_loop(:,:,:) ! Defect loop for irradiation per slip system at former time step real(8), allocatable, public :: statev_loop_t(:,:,:) ! ! Backstress per slip system at current time step real(8), allocatable, public :: statev_backstress(:,:,:) ! Backstress per slip system at former time step real(8), allocatable, public :: statev_backstress_t(:,:,:) ! ! ------------------------------------------------------------------------------- ! ! ! ! MESH INPUTS ! ------------------------------------------------------------------------------- ! ! Total number of elements in the mesh ! Adaptive mesh cannot be used! integer, public :: numel ! ! Element type ! Single element type is possible throughout the mesh ! Please do not leave any spaces between the characters ! Use the element types defined in ABAQUS element library ! Please see meshprop.f for the list of available element types character(len=:), allocatable, public :: eltyp ! ! ! Number of integration points per element integer, public :: numpt ! ! Number of nodes per element integer, public :: nnpel ! ! ! Dimensions of the problem: ! Tensor dimensions in UMAT integer, public :: numtens ! ! 2: 2D / 3: 3D integer, public :: numdim ! ! ! ------------------------------------------------------------------------------- ! ! ! ! ------------------------------------------------------------------------------- ! ! GLOBAL VARIABLES FOR NON-LOCAL CALCULATIONS ! ------------------------------------------------------------------------------- ! These variables will be assigned at the initialization ! A single type of element is assumed throughout the mesh ! ! integration point domain (area/volume) real(8), allocatable, public :: ipdomain(:,:) ! ! integration point weights real(8), allocatable, public :: ipweights(:) ! ! Global integration point coordinates real(8), allocatable, public :: ipcoords(:,:,:) ! ! Element specific shape functions and mappings ! Dependent on element type ! ! Gradient map for elements real(8), allocatable, public :: gradip2ip(:,:,:,:) ! ! Interpolation matrix real(8), allocatable, public :: Nmat(:,:) ! ! Inverse of interpolation matrix real(8), allocatable, public :: invNmat(:,:) ! ! Shape function derivatives real(8), allocatable, public :: dNmat(:,:,:) ! ! Shape function derivatives at element center real(8), allocatable, public :: dNmatc(:,:) ! ! Element having a single IP integer, public :: calculategradient ! ! ------------------------------------------------------------------------------- ! ! ! ! ! CONSTANTS ! ------------------------------------------------------------------------------- ! ! Number pi real(8), parameter, public :: pi = 3.14159265359 ! ! Taylor factor for a polycrytal aggregate real(8), parameter, public :: TF = 3.1 ! ! Universal gas contant [J/mol/K] real(8), parameter, public :: Rgas = 8.31432 ! ! Boltzman contant [m2 kg s-2 K-1 ] real(8), parameter, public :: KB = 1.380649d-23 ! ! Small real number real(8), parameter, public :: smallnum = 1.0d-20 ! ! Large real number real(8), parameter, public :: largenum = 1.0d+50 ! ------------------------------------------------------------------------------- ! ! ! ! ! IDENTITY TENSORS ! ------------------------------------------------------------------------------- ! ! Identity matrix (3x3) real(8), public :: I3(3,3) ! ! Identity matrix (6x6) real(8), public :: I6(6,6) ! ! Identity matrix (9x9) real(8), public :: I9(9,9) ! ! Permutation symbol (3,3,3) real(8), public :: eijk(3,3,3) ! ! ! SLIP DIRECTIONS ! ------------------------------------------------------------------------------- ! ! ! Global variable for slip directions ! Slip direction can be different for each material real(8), allocatable, public :: dirc_0_all(:,:,:) ! ! Global variable for slip plane normal ! Slip plane normal can be different for each material real(8), allocatable, public :: norc_0_all(:,:,:) ! ! Global variable for transverse direction ! Transverse direction can be different for each material real(8), allocatable, public :: trac_0_all(:,:,:) ! ! Global variable for line direction ! Line direction can be different for each material real(8), allocatable, public :: linc_0_all(:,:,:) ! ! Global variable for initial Schmid tensor at the sample referencec ! Schmid tensor can be different for each material real(8), allocatable, public :: Schmid_0_all(:,:,:,:) ! ! Global variable for forest projections ! Forest projection for GND and SSD ! Can be different for each material real(8), allocatable, public :: forestproj_all(:,:,:) ! ! Global variable to map screw dislocations from the corespondent slip systems ! This is needed for gndmodels 4/5/6 where screw dislocations are computed at each system ! Therefore, need to account for only the defined set of screw systems ! Can be different for each material real(8), allocatable, public :: slip2screw_all(:,:,:) ! ! ! ! BCC slip directions real(8), public :: dir1(48,3) ! <111> {110} slip family data dir1(1,:) /-1., 1., 1. / data dir1(2,:) / 1., -1., 1. / data dir1(3,:) / 1., 1., 1. / data dir1(4,:) / 1., -1., 1. / data dir1(5,:) / 1., 1., 1. / data dir1(6,:) / 1., 1., -1. / data dir1(7,:) / 1., 1., 1. / data dir1(8,:) /-1., 1., 1. / data dir1(9,:) / 1., -1., 1. / data dir1(10,:) /1., 1., -1. / data dir1(11,:) /-1., 1., 1. / data dir1(12,:) / 1., 1., -1. / ! <111> {112} slip family data dir1(13,:) / 1., 1., -1. / data dir1(14,:) / 1., -1., 1. / data dir1(15,:) /-1., 1., 1. / data dir1(16,:) / 1., 1., 1. / data dir1(17,:) / 1., -1., 1. / data dir1(18,:) / 1., 1., -1. / data dir1(19,:) / 1., 1., 1. / data dir1(20,:) /-1., 1., 1. / data dir1(21,:) /-1., 1., 1. / data dir1(22,:) / 1., 1., 1. / data dir1(23,:) / 1., 1., -1. / data dir1(24,:) / 1., -1., 1. / ! <111> {123} slip family data dir1(25,:) / 1., 1., -1. / data dir1(26,:) / 1., -1., 1. / data dir1(27,:) /-1., 1., 1. / data dir1(28,:) / 1., 1., 1. / data dir1(29,:) / 1., -1., 1. / data dir1(30,:) / 1., 1., -1. / data dir1(31,:) / 1., 1., 1. / data dir1(32,:) /-1., 1., 1. / data dir1(33,:) / 1., 1., -1. / data dir1(34,:) / 1., -1., 1. / data dir1(35,:) /-1., 1., 1. / data dir1(36,:) / 1., 1., 1. / data dir1(37,:) / 1., -1., 1. / data dir1(38,:) / 1., 1., -1. / data dir1(39,:) / 1., 1., 1. / data dir1(40,:) /-1., 1., 1. / data dir1(41,:) /-1., 1., 1. / data dir1(42,:) / 1., 1., 1. / data dir1(43,:) / 1., 1., -1. / data dir1(44,:) / 1., -1., 1. / data dir1(45,:) /-1., 1., 1. / data dir1(46,:) / 1., 1., 1. / data dir1(47,:) / 1., 1., -1. / data dir1(48,:) / 1., -1., 1. / ! ! ! BCC slip plane normals real(8), public :: nor1(48,3) ! <111> {110} slip family data nor1(1,:) / 1., 1., 0. / data nor1(2,:) / 1., 1., 0. / data nor1(3,:) /-1., 0., 1. / data nor1(4,:) /-1., 0., 1. / data nor1(5,:) /-1., 1., 0. / data nor1(6,:) /-1., 1., 0. / data nor1(7,:) / 0., 1., -1. / data nor1(8,:) / 0., 1., -1. / data nor1(9,:) / 0., 1., 1. / data nor1(10,:) / 0., 1., 1. / data nor1(11,:) / 1., 0., 1. / data nor1(12,:) / 1., 0., 1. / ! <111> {112} slip family data nor1(13,:) / 1., 1., 2. / data nor1(14,:) /-1., 1., 2. / data nor1(15,:) / 1., -1., 2. / data nor1(16,:) / 1., 1., -2. / data nor1(17,:) / 1., 2., 1. / data nor1(18,:) /-1., 2., 1. / data nor1(19,:) / 1., -2., 1. / data nor1(20,:) / 1., 2., -1. / data nor1(21,:) / 2., 1., 1. / data nor1(22,:) /-2., 1., 1. / data nor1(23,:) / 2., -1., 1. / data nor1(24,:) / 2., 1., -1. / ! <111> {123} slip family data nor1(25,:) / 1., 2., 3. / data nor1(26,:) / -1., 2., 3. / data nor1(27,:) / 1., -2., 3. / data nor1(28,:) / 1., 2., -3. / data nor1(29,:) / 1., 3., 2. / data nor1(30,:) / -1., 3., 2. / data nor1(31,:) / 1., -3., 2. / data nor1(32,:) / 1., 3., -2. / data nor1(33,:) / 2., 1., 3. / data nor1(34,:) / -2., 1., 3. / data nor1(35,:) / 2., -1., 3. / data nor1(36,:) / 2., 1., -3. / data nor1(37,:) / 2., 3., 1. / data nor1(38,:) / -2., 3., 1. / data nor1(39,:) / 2., -3., 1. / data nor1(40,:) / 2., 3., -1. / data nor1(41,:) / 3., 1., 2. / data nor1(42,:) / -3., 1., 2. / data nor1(43,:) / 3., -1., 2. / data nor1(44,:) / 3., 1., -2. / data nor1(45,:) / 3., 2., 1. / data nor1(46,:) / -3., 2., 1. / data nor1(47,:) / 3., -2., 1. / data nor1(48,:) / 3., 2., -1. / ! ! ! ! FCC slip directions real(8), public :: dir2(18,3) ! <110> {111} slip family data dir2(1,:) / 1., -1., 0. / data dir2(2,:) / 0., 1., -1. / data dir2(3,:) / 1., 0., -1. / data dir2(4,:) / 1., 1., 0. / data dir2(5,:) / 0., 1., -1. / data dir2(6,:) / 1., 0., 1. / data dir2(7,:) / 1., 1., 0. / data dir2(8,:) / 0., 1., 1. / data dir2(9,:) / 1., 0., -1. / data dir2(10,:) / 1., -1., 0. / data dir2(11,:) / 0., 1., 1. / data dir2(12,:) / 1., 0., 1. / ! <110> {100} cubic slip family data dir2(13,:) / 0., 1., 1. / data dir2(14,:) / 0., 1., -1. / data dir2(15,:) / 1., 0., 1. / data dir2(16,:) / 1., 0., -1. / data dir2(17,:) / 1., 1., 0. / data dir2(18,:) / 1., -1., 0. / ! ! ! FCC slip plane normals real(8), public :: nor2(18,3) ! <110> {111} slip family data nor2(1,:) / 1., 1., 1. / data nor2(2,:) / 1., 1., 1. / data nor2(3,:) / 1., 1., 1. / data nor2(4,:) /-1., 1., 1. / data nor2(5,:) /-1., 1., 1. / data nor2(6,:) /-1., 1., 1. / data nor2(7,:) / 1., -1., 1. / data nor2(8,:) / 1., -1., 1. / data nor2(9,:) / 1., -1., 1. / data nor2(10,:) / 1., 1., -1. / data nor2(11,:) / 1., 1., -1. / data nor2(12,:) / 1., 1., -1. / ! <110> {100} cubic slip family data nor2(13,:) / 1., 0., 0. / data nor2(14,:) / 1., 0., 0. / data nor2(15,:) / 0., 1., 0. / data nor2(16,:) / 0., 1., 0. / data nor2(17,:) / 0., 0., 1. / data nor2(18,:) / 0., 0., 1. / ! ! ! The directions are corrected by Alvaro 23.02.2023 ! HCP slip directions real(8), public :: dir3h(30,4) ! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio) data dir3h(1,:) / 2., -1., -1., 0./ data dir3h(2,:) /-1., 2., -1., 0./ data dir3h(3,:) /-1., -1., 2., 0./ ! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio) data dir3h(4,:) / 2., -1., -1., 0./ data dir3h(5,:) /-1., 2., -1., 0./ data dir3h(6,:) /-1., -1., 2., 0./ ! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data dir3h(7,:) /-1., 2., -1., 0./ data dir3h(8,:) /-2., 1., 1., 0./ data dir3h(9,:) /-1., -1., 2., 0./ data dir3h(10,:) / 1., -2., 1., 0./ data dir3h(11,:) / 2., -1., -1., 0./ data dir3h(12,:) / 1., 1., -2., 0./ ! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data dir3h(13,:) /-2., 1., 1., 3./ data dir3h(14,:) /-1., -1., 2., 3./ data dir3h(15,:) /-1., -1., 2., 3./ data dir3h(16,:) / 1., -2., 1., 3./ data dir3h(17,:) / 1., -2., 1., 3./ data dir3h(18,:) / 2., -1., -1., 3./ data dir3h(19,:) / 2., -1., -1., 3./ data dir3h(20,:) / 1., 1., -2., 3./ data dir3h(21,:) / 1., 1., -2., 3./ data dir3h(22,:) /-1., 2., -1., 3./ data dir3h(23,:) /-1., 2., -1., 3./ data dir3h(24,:) /-2., 1., 1., 3./ ! ! <11.3>{-1-1.2} / 2nd order pyramidal systems data dir3h(25,:) /-1., -1., 2., 3./ data dir3h(26,:) / 1., -2., 1., 3./ data dir3h(27,:) / 2., -1., -1., 3./ data dir3h(28,:) / 1., 1., -2., 3./ data dir3h(29,:) /-1., 2., -1., 3./ data dir3h(30,:) /-2., 1., 1., 3./ ! ! ! HCP slip plane normals real(8), public :: nor3h(30,4) ! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio) data nor3h(1,:) /0., 0., 0., 1./ data nor3h(2,:) /0., 0., 0., 1./ data nor3h(3,:) /0., 0., 0., 1./ ! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio) data nor3h(4,:) /0., 1., -1., 0./ data nor3h(5,:) /-1., 0., 1., 0./ data nor3h(6,:) /1., -1., 0., 0./ ! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data nor3h(7,:) /1., 0., -1., 1./ data nor3h(8,:) /0., 1., -1., 1./ data nor3h(9,:) /-1., 1., 0., 1./ data nor3h(10,:) /-1., 0., 1., 1./ data nor3h(11,:) /0., -1., 1., 1./ data nor3h(12,:) /1., -1., 0., 1./ ! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data nor3h(13,:) /1., 0., -1., 1./ data nor3h(14,:) /1., 0., -1., 1./ data nor3h(15,:) /0., 1., -1., 1./ data nor3h(16,:) /0., 1., -1., 1./ data nor3h(17,:) /-1., 1., 0., 1./ data nor3h(18,:) /-1., 1., 0., 1./ data nor3h(19,:) /-1., 0., 1., 1./ data nor3h(20,:) /-1., 0., 1., 1./ data nor3h(21,:) /0., -1., 1., 1./ data nor3h(22,:) /0., -1., 1., 1./ data nor3h(23,:) /1., -1., 0., 1./ data nor3h(24,:) /1., -1., 0., 1./ ! <11.3>{-1-1.2} / 2nd order pyramidal systems data nor3h(25,:) /1., 1., -2., 2./ data nor3h(26,:) /-1., 2., -1., 2./ data nor3h(27,:) /-2., 1., 1., 2./ data nor3h(28,:) /-1., -1., 2., 2./ data nor3h(29,:) /1., -2., 1., 2./ data nor3h(30,:) /2., -1., -1., 2./ ! ! ! Slip direction for alpha-Uranium ! see McCabe, Tome et al 2010 (Figure 2) real(8), public :: dir4(8,3) data dir4(1,:) /1.0, 0.0, 0.0/ data dir4(2,:) /1.0, 0.0, 0.0/ data dir4(3,:) /0.43731, -0.89931, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0) data dir4(4,:) /0.43731,0 .89931, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0) data dir4(5,:) /0.24074, -0.49507, 0.83483/ ! [1-12](021) -> [a,-b,2c](0,c,b/2) data dir4(6,:) /-0.24074, -0.49507, 0.83483/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2) data dir4(7,:) /0.24074, 0.49507, 0.83483/ ! [112](0-21) -> [a,b,2c](0,c,-b/2) data dir4(8,:) /0.24074, -0.49507, -0.83483/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2) ! ! ! Slip plane normals of alpha-Uranium ! see McCabe, Tome et al 2010 (Figure 2) real(8), public :: nor4(8,3) data nor4(1,:) /0.0, 1.0, 0.0/ data nor4(2,:) /0.0, 0.0, 1.0/ data nor4(3,:) /0.89931, 0.43731, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0) data nor4(4,:) /0.89931, -0.43731, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0) data nor4(5,:) /0.0, 0.86013, 0.51008/ ! [1-12](021) -> [a,-b,2c](0,c,b/2) data nor4(6,:) /0.0, 0.86013, 0.51008/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2) data nor4(7,:) /0.0, 0.86013, -0.51008/ ! [112](0-21) -> [a,b,2c](0,c,-b/2) data nor4(8,:) /0.0, 0.86013, -0.51008/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2) ! ! ! ! ! ------------------------------------------------------------------------------- ! end module globalvariables ================================================ FILE: Example - Single crystal with material vox file/hardening.f ================================================ ! Oct. 03rd, 2022 ! Eralp Demir ! module hardening implicit none contains ! Since crss is computed considering the phase ! Hardening shall evolve the proper state variables ! ! ! ******************************************** ! ** HARDENING updates the state variables ** ! ** that determine mechanical hardening ** ! ******************************************** subroutine hardeningrules(iphase,nslip, + temperature,dt,G12,burgerv, + totgammasum,gammadot,pdot, + irradiationmodel,irradiationparam, + hardeningmodel,hardeningparam, + hintmat1,hintmat2,tauc,ssd, + loop, rhofor, rhotot, + rhosub, tausolute, + dtauc,drhotot,drhofor, + drhosub, dssd, dloop) use globalvariables, only : KB use userinputs, only: maxnparam, maxnloop implicit none ! ! INPUTS ! crystal type integer,intent(in) :: iphase ! ! number of slip systems integer,intent(in) :: nslip ! ! current temperature real(8),intent(in) :: temperature ! ! time increment real(8),intent(in) :: dt ! ! shear modulus real(8),intent(in) :: G12 ! ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! ! ! cumulative crystallographic slip at the current tiemstep ! needed for model with irradiation real(8),intent(in) :: totgammasum ! ! plastic shear rate on slip systems ! and absolute value real(8),intent(in) :: gammadot(nslip) ! ! Von-mises equivalent plastic strain rate real(8),intent(in) :: pdot ! ! irradiation effect integer,intent(in) :: irradiationmodel ! ! irradiation model parameters real(8),intent(in) :: irradiationparam(maxnparam) ! ! hardening model integer,intent(in) :: hardeningmodel ! ! hardening parameters real(8),intent(in) :: hardeningparam(maxnparam) ! ! Hardening interaction matrices ! Latent hardening real(8), intent(in) :: hintmat1(nslip,nslip) ! Hardening interaction matrix between dislocations real(8), intent(in) :: hintmat2(nslip,nslip) ! ! crss real(8),intent(in) :: tauc(nslip) ! ! ssd density real(8),intent(in) :: ssd(nslip) ! ! loop density real(8),intent(in) :: loop(maxnloop) ! ! forest density real(8),intent(in) :: rhofor(nslip) ! ! total density real(8),intent(in) :: rhotot(nslip) ! ! substructure density real(8),intent(in) :: rhosub ! ! ! ! OUTPUTS ! increase in tauc due to solute force real(8),intent(out) :: tausolute ! ! crss increment real(8),intent(out) :: dtauc(nslip) ! ! ! ! ! total ssd density increment real(8),intent(out) :: drhotot ! ! forest dislocation density increment real(8),intent(out) :: drhofor(nslip) ! ! substructure dislocation density increment real(8),intent(out) :: drhosub ! ! ssd density increment real(8),intent(out) :: dssd(nslip) ! ! loop density increment real(8),intent(out) :: dloop(maxnloop) ! ! ! ! ! ! ! Variables used within this subroutine ! absolute value of the plastic shear rate on slip systems real(8), dimension(nslip) :: absgammadot ! Parameters for irradiation hardening real(8) :: taus0, gammasat, gamma ! Parameters for irradiation model = 2 integer :: nloop ! Parameters for Voce typ hardening model real(8) :: h0, ss, m, q, hb(nslip), Hab(nslip,nslip) ! Parameter for linear hardening model real(8) :: k ! Parameters for Kocks-Mecking hardening model real(8) :: k1, b, X, g, D, pdot0, k2, KBT ! Parameters for hardening model - 5 (KM) real(8) :: q1, q2, tot ! Additional parameters for substructure hardening real(8) :: f ! integer :: is, js, i, j integer :: il ! ! ! Set outputs zero initially dtauc = 0. dssd = 0. drhofor = 0. drhosub = 0. drhotot = 0. tausolute = 0. dloop = 0. ! ! ! ! absolute value of slip rates absgammadot = dabs(gammadot) ! ! ! ! Irradiation hardening ! ========================================================================= ! ! ! update solute force if (irradiationmodel == 1) then ! ! Prefactor in irradiation hardening taus0 = irradiationparam(1) ! ! Saturation strain gammasat = irradiationparam(2) ! ! Solute strength tausolute = taus0*dexp(-totgammasum/gammasat) ! end if ! ! ! ! update loop density if (irradiationmodel == 2) then ! ! Number of type of the loop defects nloop = int(irradiationparam(1)) ! ! Compute the evolution (annihiliation) do il = 1, nloop ! ! do is = 1, nslip ! dloop(il) = dloop(il) - hintmat2(il,is) * + sqrt(loop(il)) / burgerv(is) * absgammadot(is) * dt ! ! ! ! ! end do ! ! end do ! ! ! end if ! ! ! ! ========================================================================= ! ! ! ! Other strainhardening models ! No hardening if (hardeningmodel==0) then ! ! Do not harden! ! ! elseif (hardeningmodel==1) then ! ! read in the parameters h0 = hardeningparam(1) ss = hardeningparam(2) m = hardeningparam(3) q = hardeningparam(4) ! ! ! ! Construct the latent hardening matrix ! Note that this is a matrix different than latent hardening Hab = hintmat1 ! hb=0. do is = 1,nslip ! hb(is) = h0*(1.-tauc(is)/ss)**m* + absgammadot(is)*dt ! ! ! ! ! end do ! dtauc = matmul(Hab,hb) ! ! ! linear hardening model elseif (hardeningmodel==2) then ! ! read in the parameters k = hardeningparam(1) ! ! ! total density drhotot = k*pdot*dt ! ! SSD evolution do is = 1, nslip ! dssd(is) = k*absgammadot(is)*dt ! end do ! ! ! ! Kocks-Mecking hardening elseif (hardeningmodel==3) then ! ! input parameters k1 = hardeningparam(1) X = hardeningparam(3) g = hardeningparam(4) D = hardeningparam(5) pdot0 = hardeningparam(6) ! ! KBT = KB*temperature ! ! ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! Parametrically calculate softening factor if (hardeningparam(2)==0.) then k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0)) else k2 = hardeningparam(2) end if ! ! dssd(is) = (k1/b*dsqrt(rhofor(is))-k2*ssd(is))* + absgammadot(is)*dt ! ! ! end do ! drhotot = sum(dssd) ! ! Kocks-Mecking hardening with substructure evolution ! Reference: https://doi.org/10.1016/j.actamat.2010.06.021 ! elseif (hardeningmodel==4) then ! ! ! ! ! ! ! ! ! ! ! for alpha-uranium material parameters are built in if (iphase == 4) then ! ! ! ! forest dislocations evolution ! using constants from calibration of tensile bar 3 ! using twin-slip interaction model drhofor(1) = 43.2*max(dsqrt(rhofor(1))- + (0.17100+2.6093e-03*temperature) + *rhofor(1),0.0)*absgammadot(1)*dt drhofor(2) = 6320.0*max(dsqrt(rhofor(2))- + (0.25650+5.8708e-04*temperature) + *rhofor(2),0.0)*absgammadot(2)*dt drhofor(3) = 0.24*max(dsqrt(rhofor(3))- + (0.11718+1.9289e-04*temperature) + *rhofor(3),0.0)*absgammadot(3)*dt drhofor(4) = 0.24*max(dsqrt(rhofor(4))- + (0.11718+1.9289e-04*temperature) + *rhofor(4),0.0)*absgammadot(4)*dt drhofor(5) = 800.0*max(dsqrt(rhofor(5))- + (0.12+1.5e-05*temperature) + *rhofor(5),0.0)*absgammadot(5)*dt drhofor(6) = 800.0*max(dsqrt(rhofor(6))- + (0.12+1.5e-05*temperature) + *rhofor(6),0.0)*absgammadot(6)*dt drhofor(7) = 800.0*max(dsqrt(rhofor(7))- + (0.12+1.5e-05*temperature) + *rhofor(7),0.0)*absgammadot(7)*dt drhofor(8) = 800.0*max(dsqrt(rhofor(8))- + (0.12+1.5e-05*temperature) + *rhofor(8),0.0)*absgammadot(8)*dt ! ! substructure dislocations evolution drhosub = 0.216*(17.545+0.26771*temperature)* + rhofor(1)*dsqrt(rhosub)*absgammadot(1)*dt ! ! If any other material else ! ! ! input parameters k1 = hardeningparam(1) X = hardeningparam(3) g = hardeningparam(4) D = hardeningparam(5) pdot0 = hardeningparam(6) q = hardeningparam(7) f = hardeningparam(8) ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! Parametrically calculate softening factor if (hardeningparam(2)==0.) then k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0)) else k2 = hardeningparam(2) end if ! drhofor(is)=(k1/b*dsqrt(rhofor(is))-k2*rhofor(is)) + *absgammadot(is)*dt ! drhosub = drhosub + b*q*f*dsqrt(rhosub)* + k2*rhofor(is)*absgammadot(is)*dt ! ! end do ! ! ! ! ! end if ! ! UKAEA - model ! Vikram Phalke ! Kocks-Mecking hardening - based on total density elseif (hardeningmodel==5) then ! ! input parameters k1 = hardeningparam(1) k2 = hardeningparam(2) q1 = hardeningparam(3) q2 = hardeningparam(4) ! ! ! interaction matrix Hab = hintmat1 ! ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! tot = 0. do js=1,nslip ! ! total density (rhottot) is used to include GND effects ! instead of just SSD density tot=tot + Hab(is,js)*rhotot(js) ! end do ! dssd(is) = + (k1/b*dsqrt(tot)-k2*ssd(is))* + absgammadot(is)*dt ! ! end do ! drhotot = sum(dssd) ! ! ! ! end if ! return ! end subroutine hardeningrules ! ! ! ! ! end module hardening ================================================ FILE: Example - Single crystal with material vox file/initializations.f ================================================ ! Sept. 26th, 2022 ! Eralp Demir ! ! This module includes initialization scripts ! module initializations implicit none contains ! ! ! ! ! Subroutines that need to run once at the beginning of calculations subroutine initialize_once use meshprop, only : feprop use useroutputs, only: defineoutputs implicit none ! ! ! ! ! 1. Enter mesh/element properties ! to get number of integration points for array allocation call feprop write(*,*) '1. Mesh initialization completed!' ! ! 2. Allocate arrays call allocate_arrays write(*,*) '2. Array allocation completed!' ! ! 3. Initialize identity matrices call initialize_identity write(*,*) '3. Identity tensors initialized!' ! ! 4. Define outputs ! Based on the flag: "readfromprops = 0 / 1" ! Will be either read from PROPS or from useroutputs.f call defineoutputs write(*,*) '4. Outputs are defined using useroutputs.f!' ! ! ! 5. Read the input files if needed call readfiles write(*,*) '5. The necessary files were read!' ! ! return end subroutine initialize_once ! ! ! ! ! Subroutine to initialize global flags subroutine initialize_variables use userinputs, only: maxnumel, maxnumpt use globalvariables, only : time_old, + dt_t, calculategradient, numpt, numel, + ip_count, init_once, grad_init ! ! Use this instead of data statements time_old=0. dt_t=0. ! calculategradient=1 grad_init=0 ! ! Maximum number of elements and maximum number of integration points ! are defined in userinputs.f allocate(ip_count(maxnumel,maxnumpt)) ip_count=-1 ! ! Element number will be counted numpt=0 numel=0 ! ! flag for initialization once at the beginning init_once=0 ! return end subroutine initialize_variables ! ! ! ! ! ! Reading additional input files subroutine readfiles use userinputs, only: + voxfilename, foldername, readmaterialfile use globalvariables, only: numel, Euler integer :: iele real(8) :: dummy(8) ! ! ! Read vox file if requested if (readmaterialfile==1) then ! Open the file open(200,file=foldername // '/' // voxfilename,action='read', + status='old') ! ! ! Number of lines is the same as the number of elements do iele=1,numel ! dummy=0. read(100,*) dummy(1:8) ! ! Bunge angles in degrees Euler(iele,1) = dummy(1) Euler(iele,2) = dummy(2) Euler(iele,3) = dummy(3) ! ! ! end do ! ! End of reading vox file close(200) ! end if ! ! ADD HERE IF THERE ARE ADDITIONAL INPUT FILES!!! ! ! return end subroutine readfiles ! ! ! ! Subroutines that need to run once at the beginning of calculations subroutine initialize_atfirstinc(noel,npt,coords,nprops, + props,temp,nstatv) use userinputs, only: constanttemperature, temperature, + maxnslip, maxnparam, maxnmaterial, maxnloop, + backstressmodel, readmaterialfile use globalvariables, only: Euler, materialid, + featureid, phaseid, ipcoords, numdim, + statev_gmatinv, statev_gmatinv_t, ip_init, + numslip_all, numscrew_all, phaseid_all, + statev_tauc, statev_tauc_t, statev_gmatinv_0, + dirc_0_all, norc_0_all, + trac_0_all, linc_0_all, Schmid_0_all, + forestproj_all, slip2screw_all, screw_all, + statev_ssd, statev_ssd_t, + statev_ssdtot, statev_ssdtot_t, + statev_forest, statev_forest_t, + statev_substructure, statev_substructure_t, + statev_tausolute, statev_tausolute_t, + statev_loop, statev_loop_t, + statev_tauceff, + statev_gnd_0, + caratio_all, cubicslip_all, + Cc_all, gf_all, G12_all, v12_all, + alphamat_all, burgerv_all, + slipmodel_all, slipparam_all, + creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, + irradiationmodel_all, irradiationparam_all, + sintmat1_all, sintmat2_all, + hintmat1_all, hintmat2_all, + backstressparam_all ! use irradiation, only: calculateintmats4irradmodel2 use usermaterials, only: materialparam use utilities, only: rotord4sig use crss, only: slipresistance, totalandforest use useroutputs, only: checkoutputs, + statev_outputs, nstatv_outputs use errors, only: error implicit none ! Element number integer, intent(in) :: noel ! Integration point integer, intent(in) :: npt ! Number of properties integer, intent(in) :: nprops ! Ip coordinates real(8), intent(in) :: coords(3) ! State variables real(8), intent(in) :: props(nprops) ! Abaqus temperature real(8), intent(in) :: temp ! Number of state variables integer, intent(in) :: nstatv ! ! Internal variables ! Flag for reading from PROPS vector integer readfromprops ! Crystal to sample transformation matrix real(8) :: gmatinv(3,3) ! Phase id integer :: phaid ! Number of slip systems integer :: nslip ! Number of screw systems integer :: nscrew ! Material id integer :: matid ! Slip model integer :: slipmodel ! Slip parameters real(8) :: slipparam(maxnparam) ! Creep model integer :: creepmodel ! Creep parameters real(8) :: creepparam(maxnparam) ! Hardening model integer :: hardeningmodel ! Hardening parameters real(8) :: hardeningparam(maxnparam) ! Irradiation model integer :: irradiationmodel ! Irradiation parameters real(8) :: irradiationparam(maxnparam) ! Backstress parameters real(8) :: backstressparam(maxnparam) ! Cubic slip for fcc nickel superalloys only integer :: cubicslip ! Material temperature real(8) :: mattemp ! c/a ratio for hexagonal materials real(8) :: caratio ! Crystal elasticity matrix real(8) :: Cc(6,6) ! Geometric factor real(8) :: gf ! Shear modulus real(8) :: G12 ! Poisson's ratio real(8) :: v12 ! Thermal expansion coefficient matrix in crystal lattice real(8) :: alphamat(3,3) ! Burgers vector real(8) :: burgerv(maxnslip) ! Screw systems integer :: screw(maxnslip) ! Initial critical resolved shear stress real(8) :: tauc_0(maxnslip) ! Initial dislocation density (SSD) real(8) :: rho_0(maxnslip) ! Sum of the initial density (SSD) real(8) :: rhosum_0 ! Initial forest density (hardening model-4) real(8) :: forest_0, for_0(maxnslip) ! Initial substructure density (hardening model-4) real(8) :: substructure_0 ! Interaction matrices ! Strength interaction between dislocations real(8) :: sintmat1(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8) :: sintmat2(maxnslip,maxnslip) ! Latent hardening real(8) :: hintmat1(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8) :: hintmat2(maxnslip,maxnslip) ! Allocatable arrays ! Slip direction real(8) :: dirc(maxnslip,3) ! Slip plane normal real(8) :: norc(maxnslip,3) ! Transverse direction real(8) :: trac(maxnslip,3) ! Slip line direction real(8) :: linc(maxnslip*2,3) ! Forest projection operator real(8) :: forestproj(maxnslip,maxnslip*2) ! Slip to screw system mapping real(8) :: slip2screw(maxnslip,maxnslip) ! initial Schmid tensor real(8) :: Schmid_0(maxnslip,3,3) ! initial loop density real(8) :: loop_0(maxnloop) ! initial solute strength real(8) :: tausolute_0 ! initial GND density real(8) :: gnd_0(2*maxnslip) ! overall forest density real(8) :: rhofor_0(maxnslip) ! overall total density real(8) :: rhotot_0(maxnslip) ! overall cumulative density - scalar real(8) :: sumrhotot_0 ! Effective CRSS real(8) :: tauceff_0(maxnslip) ! Variables used in the calculations here within this subroutine ! Elasiticity real(8) :: C11, C12, C44, C13, C33 real(8) :: C23, C22, C55, C66 ! Thermal expansion real(8) :: alpha1, alpha2, alpha3 ! ! Dummy variables integer :: i, j, k, ind, is, nloop, dum integer :: i0, i1, i2 real(8) :: dir(3), nor(3) ! ! ! Reset arrays burgerv=0.; tauc_0=0.; rho_0=0.; forest_0=0.; substructure_0=0.; for_0=0. sintmat1=0.; sintmat2=0. hintmat1=0.; hintmat2=0. dirc=0.; norc=0.; trac=0.; linc=0. Schmid_0=0. forestproj=0.; slip2screw=0.; screw=0 slipparam=0.;creepparam=0. hardeningparam=0.; irradiationparam=0. backstressparam = 0. ! loop_0=0.; tausolute_0=0. rhofor_0=0.; rhotot_0=0. sumrhotot_0=0.; gnd_0=0. tauceff_0=0. ! ! ! ! Calculation for only once (require NSTATV) ! This is done here because NSTATV is available in UMAT ! Can't be done at UEXTERNALDB(LOP=0) if (ip_init(1,1) == 0) then ! ! Check the number state variables defined in DEPVAR ! matches the outputs defined by the user (in useroutputs.f or in PROPS) call checkoutputs(nstatv) ! end if ! ! ! ! ! ! Initialization flag ip_init(noel,npt) = 1 ! ! Read integration point coordinates ! Assign and store at a global variable ipcoords(noel,npt,1:numdim) = coords(1:numdim) ! ! Read from PROPS readfromprops = int(props(6)) ! ! Material id matid = int(props(5)) ! ! Save material id materialid(noel,npt)=matid ! ! Save grain id featureid(noel,npt) = int(props(4)) ! ! Euler angles are read from PROPS ! IF the variable in userinputs.f was set as: "readmaterialfile=0" ! No entry from material file was selected if (readmaterialfile==0) then ! ! Initialize the ginv from Euler angles ! phi1: 1st on the property list Euler(noel,1)=props(1) ! Phi: 2nd on the property list Euler(noel,2)=props(2) ! phi2: 3rd on the property list Euler(noel,3)=props(3) ! end if ! ! ! ! ! write(*,*) 'noel', noel ! write(*,*) 'npt', npt ! write(*,*) 'matid', matid ! write(*,*) 'Euler', Euler ! ! ! ! ! ! ! Calculate inverse of the orientation matrix call initialize_orientations(Euler(noel,1:3),gmatinv) ! ! Assign the initial orientations statev_gmatinv(noel,npt,:,:)=gmatinv statev_gmatinv_t(noel,npt,:,:)=gmatinv statev_gmatinv_0(noel,npt,:,:)=gmatinv ! ! ! ! ! ! Decision on using ABAQUS temperature if (constanttemperature.eq.1) then ! ! ! Assign mattemp = temperature ! else if (constanttemperature.eq.0) then ! ! Use ABAQUS temperature (must be in K) mattemp = temp ! ! else ! Temperature flag is not assined correctly call error(5) ! endif ! ! ! If the properties are defined at "usermaterials.f" if (readfromprops==0) then ! ! Enter materials subroutine once for every ip to get number of slip systems call materialparam(matid,mattemp, + phaid,nslip,nscrew,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,burgerv, + tauc_0,rho_0,forest_0,substructure_0, + slipmodel,slipparam,creepmodel,creepparam, + hardeningmodel,hardeningparam, + irradiationmodel,irradiationparam, + sintmat1,sintmat2,hintmat1,hintmat2, + backstressparam) ! ! If material properies are defined in PROPS vector elseif (readfromprops==1) then ! ! Phase id indicates crystal structure phaid = int(props(7)) ! ! Number of slip systems nslip = int(props(8)) ! ! Number of screw systems nscrew = int(props(9)) ! ! cubic slip flag cubicslip = int(props(10)) ! ! geometric factor gf = props(11) ! ! Elastic constants C11 = props(12) C12 = props(13) C44 = props(14) ! ! Shear modulus G12 = C44 ! ! ! Poisson's ratio v12 = C12/(C11+C12) ! ! If cubic material - 3 constants if (phaid<3) then ! ! Elasticity matrix of a cubic material Cc = 0. Cc(1,1:3) = (/ C11, C12, C12 /) Cc(2,1:3) = (/ C12, C11, C12 /) Cc(3,1:3) = (/ C12, C12, C11 /) Cc(4,4) = C44 Cc(5,5) = C44 Cc(6,6) = C44 ! ! ! If hexagonal material - 5 constants elseif (phaid==3) then ! ! Read the remaning parameters C13 = props(15) C33 = props(16) ! ! Elasticity matrix of a hexagonal material Cc = 0. Cc(1,1:3) = (/ C11, C12, C13 /) Cc(2,1:3) = (/ C12, C11, C13 /) Cc(3,1:3) = (/ C13, C13, C33 /) Cc(4,4) = C44 Cc(5,5) = C44 Cc(6,6) = 0.5*(C11-C12) ! ! If tetragonal material - 9 constants elseif (phaid==4) then ! ! Read the remaning parameters C23 = props(17) C22 = props(18) C55 = props(19) C66 = props(20) ! ! Elasticity matrix of a ot material Cc = 0. Cc(1,1:3) = (/ C11, C12, C13 /) Cc(2,1:3) = (/ C12, C22, C23 /) Cc(3,1:3) = (/ C13, C23, C33 /) Cc(4,4) = C44 Cc(5,5) = C55 Cc(6,6) = C66 ! ! ! endif ! ! c/a ratio caratio = int(props(21)) ! ! ! Thermal expansion coefficients alpha1 = props(22) alpha2 = props(23) alpha3 = props(24) alphamat = 0. alphamat(1,1) = alpha1 alphamat(2,2) = alpha2 alphamat(3,3) = alpha3 ! ! ! Starting index for props i0 = 25 ! ! ! Slip model slipmodel = int(props(i0)) ! ! Slip model parameters do i = 1, maxnparam ! ind = i + i0 ! slipparam(i) = props(ind) ! end do ! ! Creep model creepmodel = int(props(i0+maxnparam+1)) ! ! Creep model parameters do i = 1, maxnparam ! ind = i + i0 + maxnparam+1 ! creepparam(i) = props(ind) ! ! end do ! ! ! Hardening model hardeningmodel = int(props(i0+2*(maxnparam+1))) ! ! Hardening model parameters do i = 1, maxnparam ! ind = i + i0+2*(maxnparam+1) ! hardeningparam(i) = props(ind) ! end do ! ! ! They are undefined for now - set to identity ! Interaction matrices ! Initially set all to identity sintmat1=0. sintmat2=0. hintmat1=0. hintmat2=0. do is = 1, maxnslip sintmat1(is,is)=1. sintmat2(is,is)=1. hintmat1(is,is)=1. hintmat2(is,is)=1. end do ! ! Define hardening matrix here based on the model! ! Hardening model-1 if (hardeningmodel==1) then ! Hardening interactions - latent hardening hintmat1 = hardeningparam(4) do k = 1, int(nslip/3.) do i = 1, 3 do j = 1, 3 hintmat1(3*(k-1)+i, 3*(k-1)+j)=1. enddo enddo enddo end if ! ! ! Irradiation model irradiationmodel = int(props(i0+3*(maxnparam+1))) ! ! ! Irradiation model parameters do i = 1, maxnparam ! ind = i + i0+3*(maxnparam+1) ! irradiationparam(i) = props(ind) ! end do ! ! ! Backstress parameters if (backstressmodel==1) then ! backstressparam(1) = props(ind+1) backstressparam(2) = props(ind+2) ! end if ! ! ! ! ! ! ! Overwrite user-defined outputs in useroutputs.f ! Reset number of state variables nstatv_outputs = 0 ! Reset the flags for outputs statev_outputs = 0 ! ! Reset starting index i1 = i0 + 5*maxnparam + 3 do i = 1, 30 ! ind = i + i1 ! dum = int(PROPS(ind)) ! statev_outputs(i) = dum ! ! Count the total number of outputs if (dum ==1) then nstatv_outputs = nstatv_outputs + 1 end if ! end do ! ! ! ! Assign slip system quantities ! Reset starting index i2 = i1 + 30 ! ! Initial dislocation density rho_0=0. do is = 1, maxnslip ! ind = is + i2 ! rho_0(is) = props(ind) ! end do ! ! ! Burgers vector burgerv=0. do is = 1, maxnslip ! ind = is + i2 + 48 ! burgerv(is) = props(ind) ! end do ! ! ! Initial critical resolved shear strength tauc_0=0. do is = 1, maxnslip ! ind = is + i2 + 96 ! tauc_0(is) = props(ind) ! end do ! ! Initial forest dislocation density (hardening model-4) forest_0 = props(273) ! ! Initial substructure dislocation density (hardening model-4) substructure_0 = props(274) ! ! ! PROPS(275-300) are intentionally left empty! ! ! endif ! ! ! ! Initialize phase-id of the material phaseid_all(matid)=phaid ! ! ! Initialize number of slip systems numslip_all(matid)=nslip ! ! Initialize number of screw systems ! Required for GND calculations numscrew_all(matid)=nscrew ! ! ! Initialize crss statev_tauc(noel,npt,1:maxnslip)=tauc_0 statev_tauc_t(noel,npt,1:maxnslip)=tauc_0 ! ! Initialize ssd density per slip system statev_ssd(noel,npt,1:maxnslip)=rho_0 statev_ssd_t(noel,npt,1:maxnslip)=rho_0 ! ! Initialize total ssd density rhosum_0=sum(rho_0(1:nslip)) statev_ssdtot(noel,npt)=rhosum_0 statev_ssdtot_t(noel,npt)=rhosum_0 ! Initialize forest density per slip system for_0(1:nslip)=forest_0 statev_forest(noel,npt,1:maxnslip)=for_0 statev_forest_t(noel,npt,1:maxnslip)=for_0 ! ! Initialize total ssd density statev_substructure(noel,npt)=substructure_0 statev_substructure_t(noel,npt)=substructure_0 ! ! ! ! ! Initialize irradiation parameters if (irradiationmodel==1) then ! Initialize solute strength tausolute_0=irradiationparam(1) statev_tausolute(noel,npt)=tausolute_0 statev_tausolute_t(noel,npt)=tausolute_0 ! ! elseif (irradiationmodel==2) then ! Initialize defect loop density nloop=int(irradiationparam(1)) do i = 1, nloop loop_0(i)=irradiationparam(1+i)* + irradiationparam(1+nloop+i) statev_loop(noel,npt,i)=loop_0(i) statev_loop_t(noel,npt,i)=loop_0(i) end do ! end if ! ! ! Initialize caratio caratio_all(matid)=caratio ! ! ! Initialize cubicslip cubicslip_all(matid)=cubicslip ! ! Initialize elasticity in crystal frame Cc_all(matid,1:6,1:6)=Cc ! ! Initialize geometric factor gf_all(matid)=gf ! ! Initialize shear modulus G12_all(matid)=G12 ! Initialize Poisson's ratio v12_all(matid)=v12 ! ! Initialize thermal expansion matrix alphamat_all(matid,1:3,1:3)=alphamat ! ! Initialize burgers vector burgerv_all(matid,1:maxnslip)=burgerv ! ! ! ! assign the global variables ! ! slip model slipmodel_all(matid)=slipmodel ! slip parameters slipparam_all(matid,:)=slipparam ! creep model creepmodel_all(matid)=creepmodel ! creep parameters creepparam_all(matid,:)=creepparam ! hardening model hardeningmodel_all(matid)=hardeningmodel ! hardening parameters hardeningparam_all(matid,:)=hardeningparam ! irradiation model irradiationmodel_all(matid)=irradiationmodel ! irradiation parameters irradiationparam_all(matid,:)=irradiationparam ! ! ! backstress parameters backstressparam_all(matid,:)=backstressparam ! ! Initialize initial (undeformed) slip vectors ! This is needed once per element since the material is different call initialize_slipvectors(phaid,nslip,nscrew,caratio, + screw(1:nscrew),dirc(1:nslip,1:3),norc(1:nslip,1:3), + trac(1:nslip,1:3),linc(1:nslip+nscrew,1:3), + forestproj(1:nslip,1:nslip+nscrew), + slip2screw(1:nscrew,1:nslip)) ! ! ! Irradiation strength and hardening matrices are a function of slip vectors ! Therefore, the interaction matrices need to be computed here, ! after the calculation of slip vectors if (irradiationmodel==2) then call calculateintmats4irradmodel2(nslip,dirc,norc, + irradiationparam,sintmat2,hintmat2) end if ! ! ! assign the interaction matrices ! Strength interaction between dislocations sintmat1_all(matid,:,:) = sintmat1 ! Strength interaction dislocation loops related with irradiation sintmat2_all(matid,:,:) = sintmat2 ! Latent hardening hintmat1_all(matid,:,:) = hintmat1 ! Hardening interaction matrix between dislocations hintmat2_all(matid,:,:) = hintmat2 ! ! ! ! ! ! ! assign undeformed slip directions dirc_0_all(matid,1:nslip,1:3) = dirc(1:nslip,1:3) norc_0_all(matid,1:nslip,1:3) = norc(1:nslip,1:3) trac_0_all(matid,1:nslip,1:3) = trac(1:nslip,1:3) linc_0_all(matid,1:nslip+nscrew,1:3) = linc(1:nslip+nscrew,1:3) ! ! Forest projection operator forestproj_all(matid,1:nslip,1:nslip+nscrew) = + forestproj(1:nslip,1:nslip+nscrew) ! ! ! Slip to screw mapping slip2screw_all(matid,1:nscrew,1:nslip) = + slip2screw(1:nscrew,1:nslip) ! ! ! Screw systems screw_all(matid,1:nscrew)=screw(1:nscrew) ! ! Initialize Schmid tensor (needed for the calculation of Lp) Schmid_0=0. do is=1,nslip ! ! Slip direction in the sample reference dir = matmul(gmatinv,dirc(is,:)) ! Slip plane normal in the sample reference nor = matmul(gmatinv,norc(is,:)) ! do i=1,3 do j=1,3 Schmid_0(is,i,j) = dir(i)*nor(j) enddo enddo end do ! ! Assign undeformed Schmid tensor Schmid_0_all(matid,1:nslip,:,:) = Schmid_0(1:nslip,:,:) ! ! ! Initial GND density (may or may not be present!) gnd_0=statev_gnd_0(noel,npt,:) ! ! Calculate initial total and forest density call totalandforest( + phaid, nscrew, nslip, + gnd_0(1:nslip+nscrew), rho_0(1:nslip), rhosum_0, + for_0(1:nslip), forestproj(1:nslip,1:nslip+nscrew), + slip2screw(1:nscrew,1:nslip), + rhotot_0(1:nslip), sumrhotot_0, rhofor_0(1:nslip)) ! ! ! ! Calculate crss call slipresistance(phaid, nslip, gf, G12, + burgerv(1:nslip), sintmat1(1:nslip,1:nslip), + sintmat2(1:nslip,1:nslip), tauc_0(1:nslip), + rhotot_0, sumrhotot_0, rhofor_0(1:nslip), + substructure_0, tausolute_0, loop_0(1:maxnloop), + hardeningmodel, hardeningparam, + irradiationmodel, irradiationparam, + mattemp, tauceff_0(1:nslip)) ! ! statev_tauceff(noel,npt,1:maxnslip)=tauceff_0 ! ! return end subroutine initialize_atfirstinc ! ! ! ! Arrays allocated subroutine allocate_arrays use globalvariables, only : numel, numpt, numdim, + Euler, materialid, featureid, phaseid, + phaseid_all, numslip_all, numscrew_all, + dirc_0_all, norc_0_all, trac_0_all, linc_0_all, + forestproj_all, slip2screw_all, screw_all, + ip_init, gradip2ip, ipcoords, ipdomain, + statev_sigma_t2, statev_gmatinv, statev_gmatinv_t, + statev_gmatinv_0, statev_gammasum, statev_gammasum_t, + statev_jacobi, statev_jacobi_t, statev_Fth, statev_Fth_t, + statev_gammadot, statev_gammadot_t, statev_Fp, statev_Fp_t, + statev_sigma, statev_sigma_t, statev_tauc, statev_tauc_t, + statev_maxx, statev_maxx_t, statev_Eec, statev_Eec_t, + statev_gnd, statev_gnd_t, statev_ssd, statev_ssd_t, + statev_forest, statev_forest_t, statev_substructure, + statev_substructure_t, statev_tausolute, statev_tausolute_t, + statev_totgammasum, statev_totgammasum_t, + statev_evmp, statev_evmp_t, statev_ssdtot, statev_ssdtot_t, + statev_Lambda, statev_Lambda_t, statev_curvature, + statev_loop, statev_loop_t, statev_gnd_0, + caratio_all, cubicslip_all, Cc_all, gf_all, + G12_all, v12_all, alphamat_all, burgerv_all, + slipmodel_all, slipparam_all, Schmid_0_all, + creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, + irradiationmodel_all, irradiationparam_all, + sintmat1_all, sintmat2_all, + hintmat1_all, hintmat2_all, + backstressparam_all, statev_backstress_t, + statev_backstress, statev_plasdiss_t, + statev_plasdiss, statev_tauceff ! use userinputs, only : maxnslip, maxnparam, + maxnmaterial, maxnloop implicit none integer i, j, k ! ! ! Can be different for each element allocate(Euler(numel,3)) Euler=0. ! ! For multiple grains allocate(featureid(numel,numpt)) featureid=0 ! ! For multi materials allocate(materialid(numel,numpt)) materialid=0 ! ! For multi phases allocate(phaseid(numel,numpt)) phaseid=0 ! ! Initial crystal to sample transformation ! ! For multi material case with varying number of slip systems allocate(numslip_all(maxnmaterial)) numslip_all=0 ! ! For multi material case with varying number of screw systems allocate(numscrew_all(maxnmaterial)) numscrew_all=0 ! ! Screw systems allocate(screw_all(maxnmaterial,maxnslip)) screw_all=0 ! ! ! For multi material case with varying number of slip systems allocate(phaseid_all(maxnmaterial)) phaseid_all=0 phaseid_all=0 ! ! Allocate slip systems allocate(dirc_0_all(maxnmaterial,maxnslip,3)) dirc_0_all=0. allocate(norc_0_all(maxnmaterial,maxnslip,3)) norc_0_all=0. allocate(trac_0_all(maxnmaterial,maxnslip,3)) trac_0_all=0. allocate(linc_0_all(maxnmaterial,2*maxnslip,3)) linc_0_all=0. ! Allocate initial Schmid tensor allocate(Schmid_0_all(maxnmaterial,maxnslip,3,3)) Schmid_0_all=0. ! ! Forest projections for GND allocate(forestproj_all(maxnmaterial,maxnslip,maxnslip*2)) forestproj_all=0. ! ! Mapping for dislocations at slip sytems to screw systems for GND allocate(slip2screw_all(maxnmaterial,maxnslip,maxnslip)) slip2screw_all=0. ! ! IP domain size (area/volume) allocate(ipdomain(numel,numpt)) ipdomain=0. ! ! ! These are needed for GND calculations allocate(ipcoords(numel,numpt,numdim)) ipcoords=0. allocate(ip_init(numel,numpt)) ip_init=0 ! very important to set to zero initially ! ! Allocate arrays related with shape functions ! Note the gradient is 3-dimensional ("numdim" is not used!) allocate(gradip2ip(numel,numpt+1,3,numpt)) gradip2ip=0. ! ! ! Allocate state variables allocate(statev_gmatinv(numel,numpt,3,3)) statev_gmatinv=0. allocate(statev_gmatinv_t(numel,numpt,3,3)) statev_gmatinv_t=0. allocate(statev_gmatinv_0(numel,numpt,3,3)) statev_gmatinv_0=0. ! do i=1,numel do j=1,numpt do k=1,3 statev_gmatinv(i,j,k,k)=1. statev_gmatinv_t(i,j,k,k)=1. statev_gmatinv_0(i,j,k,k)=1. end do end do end do ! allocate(statev_gammasum(numel,numpt,maxnslip)) statev_gammasum=0. allocate(statev_gammasum_t(numel,numpt,maxnslip)) statev_gammasum_t=0. allocate(statev_gammadot(numel,numpt,maxnslip)) statev_gammadot=0. allocate(statev_gammadot_t(numel,numpt,maxnslip)) statev_gammadot_t=0. allocate(statev_Fp(numel,numpt,3,3)) statev_Fp=0. allocate(statev_Fp_t(numel,numpt,3,3)) statev_Fp_t=0. allocate(statev_Fth(numel,numpt,3,3)) statev_Fth=0. allocate(statev_Fth_t(numel,numpt,3,3)) statev_Fth_t=0. ! do i=1,numel do j=1,numpt do k=1,3 statev_Fp(i,j,k,k)=1. statev_Fp_t(i,j,k,k)=1. statev_Fth(i,j,k,k)=1. statev_Fth_t(i,j,k,k)=1. end do end do enddo ! allocate(statev_sigma(numel,numpt,6)) statev_sigma=0. allocate(statev_sigma_t(numel,numpt,6)) statev_sigma_t=0. allocate(statev_sigma_t2(numel,numpt,6)) statev_sigma_t2=0. allocate(statev_jacobi(numel,numpt,6,6)) statev_jacobi=0. allocate(statev_jacobi_t(numel,numpt,6,6)) statev_jacobi_t=0. ! do i=1,numel do j=1,numpt do k=1,6 statev_jacobi(i,j,k,k)=1. statev_jacobi_t(i,j,k,k)=1. end do end do enddo ! allocate(statev_tauc(numel,numpt,maxnslip)) statev_tauc=0. allocate(statev_tauc_t(numel,numpt,maxnslip)) statev_tauc_t=0. ! allocate(statev_tauceff(numel,numpt,maxnslip)) statev_tauceff=0. ! allocate(statev_maxx(numel,numpt)) statev_maxx=0. allocate(statev_maxx_t(numel,numpt)) statev_maxx_t=0. allocate(statev_Eec(numel,numpt,6)) statev_Eec=0. allocate(statev_Eec_t(numel,numpt,6)) statev_Eec_t=0. ! ! Incompatibility allocate(statev_Lambda(numel,numpt,9)) statev_Lambda = 0. allocate(statev_Lambda_t(numel,numpt,9)) statev_Lambda_t = 0. ! Lattice curvature allocate(statev_curvature(numel,numpt,9)) statev_curvature = 0. ! ! Allocated as twice the maxslip to leave space for screws allocate(statev_gnd(numel,numpt,2*maxnslip)) statev_gnd=0. allocate(statev_gnd_t(numel,numpt,2*maxnslip)) statev_gnd_t=0. allocate(statev_gnd_0(numel,numpt,2*maxnslip)) statev_gnd_0=0. allocate(statev_ssd(numel,numpt,maxnslip)) statev_ssd=0. allocate(statev_ssd_t(numel,numpt,maxnslip)) statev_ssd_t=0. allocate(statev_ssdtot(numel,numpt)) statev_ssdtot=0. allocate(statev_ssdtot_t(numel,numpt)) statev_ssdtot_t=0. allocate(statev_forest(numel,numpt,maxnslip)) statev_forest=0. allocate(statev_forest_t(numel,numpt,maxnslip)) statev_forest_t=0. allocate(statev_substructure(numel,numpt)) statev_substructure=0. allocate(statev_substructure_t(numel,numpt)) statev_substructure_t=0. allocate(statev_tausolute(numel,numpt)) statev_tausolute=0. allocate(statev_tausolute_t(numel,numpt)) statev_tausolute_t=0. allocate(statev_totgammasum(numel,numpt)) statev_totgammasum=0. allocate(statev_totgammasum_t(numel,numpt)) statev_totgammasum_t=0. allocate(statev_evmp(numel,numpt)) statev_evmp=0. allocate(statev_evmp_t(numel,numpt)) statev_evmp_t=0. ! allocate(statev_plasdiss(numel,numpt)) statev_plasdiss=0. allocate(statev_plasdiss_t(numel,numpt)) statev_plasdiss_t=0. ! ! allocate as sparse array allocate(statev_loop(numel,numpt,maxnloop)) statev_loop=0. allocate(statev_loop_t(numel,numpt,maxnloop)) statev_loop_t=0. ! allocate(statev_backstress(numel,numpt,maxnslip)) statev_backstress=0. allocate(statev_backstress_t(numel,numpt,maxnslip)) statev_backstress_t=0. ! ! Material parameters allocate(caratio_all(maxnmaterial)) caratio_all=0. allocate(cubicslip_all(maxnmaterial)) cubicslip_all=0 allocate(Cc_all(maxnmaterial,6,6)) Cc_all=0. allocate(gf_all(maxnmaterial)) gf_all=0. allocate(G12_all(maxnmaterial)) G12_all=0. allocate(v12_all(maxnmaterial)) v12_all=0. allocate(alphamat_all(maxnmaterial,3,3)) alphamat_all=0. allocate(burgerv_all(maxnmaterial,maxnslip)) burgerv_all=0. ! ! ! Material model parameters allocate(slipmodel_all(maxnmaterial)) slipmodel_all=0 allocate(slipparam_all(maxnmaterial,maxnparam)) slipparam_all=0. allocate(creepmodel_all(maxnmaterial)) creepmodel_all=0 allocate(creepparam_all(maxnmaterial,maxnparam)) creepparam_all=0. allocate(hardeningmodel_all(maxnmaterial)) hardeningmodel_all=0 allocate(hardeningparam_all(maxnmaterial,maxnparam)) hardeningparam_all=0. allocate(irradiationmodel_all(maxnmaterial)) irradiationmodel_all=0 allocate(irradiationparam_all(maxnmaterial,maxnparam)) irradiationparam_all=0. ! allocate(backstressparam_all(maxnmaterial,maxnparam)) backstressparam_all=0. ! ! Interaction matrices allocate(sintmat1_all(maxnmaterial,maxnslip,maxnslip)) sintmat1_all=0. allocate(sintmat2_all(maxnmaterial,maxnslip,maxnslip)) sintmat2_all=0. allocate(hintmat1_all(maxnmaterial,maxnslip,maxnslip)) hintmat1_all=0. allocate(hintmat2_all(maxnmaterial,maxnslip,maxnslip)) hintmat2_all=0. ! ! ! return end subroutine allocate_arrays ! ! ! ! ! ! ! ! ! ! ! ! ! This subroutine assigns identity tensors ! USES: I3(3,3),I6(6,6),I9(9,9),eijk(3,3,3) subroutine initialize_identity use globalvariables, only : I3, I6, I9, eijk implicit none integer :: i, j, k, l ! I3=0. I6=0. I9=0. ! ! Identity matrix (3x3) do i=1,3 I3(i,i)=1. enddo ! ! ! Identity matrix (6x6) do i=1,6 I6(i,i)=1. enddo ! ! Identity matrix (9x9) do i=1,9 I9(i,i)=1. enddo ! ! ! Permutation symbol (3x3x3) eijk=0. eijk(1,2,3)=1. eijk(2,3,1)=1. eijk(3,1,2)=1. eijk(3,2,1)=-1. eijk(2,1,3)=-1. eijk(1,3,2)=-1. ! return end subroutine initialize_identity ! ! ! This subroutine assigns orientations subroutine initialize_orientations(Euler,gmatinv) use utilities, only: Euler2ori implicit none real(8), intent(in) :: Euler(3) real(8), intent(out) :: gmatinv(3,3) real(8) :: g(3,3) ! ! ! Sample to crystal transformation call Euler2ori(Euler,g) ! ! ! Crystal to sample tranformation gmatinv = transpose(g) ! ! return end subroutine initialize_orientations ! ! ! All slip systems of different phases are initialized ! 1: BCC ! 2: FCC ! 3: HCP ! 4: alpha-uranium ! Forest projections are initialized here! ! The number of slip systems will be identified in materials card ! Slip directions subroutine initialize_slipvectors(phaid,nslip,nscrew,caratio, + screw,dirc,norc,trac,linc,forestproj,slip2screw) use userinputs, only : maxnslip use globalvariables, only : dir1, nor1, dir2, nor2, + dir3h, nor3h, dir4, nor4 use utilities, only: vecprod use errors, only: error implicit none ! Inputs integer, intent(in) :: phaid, nslip, nscrew real(8), intent(in) :: caratio ! Outputs real(8), dimension(nslip,3), intent(out) :: dirc real(8), dimension(nslip,3), intent(out) :: norc real(8), dimension(nslip,3), intent(out) :: trac real(8), dimension(nslip+nscrew,3), intent(out) :: linc real(8), dimension(nslip,nslip+nscrew), intent(out) :: forestproj real(8), dimension(nscrew,nslip), intent(out) :: slip2screw integer, dimension(nscrew), intent(out) :: screw ! ! Local variables used within this subroutine real(8) :: dir(48,3), nor(48,3) real(8) :: sdir(nslip+nscrew,3) real(8) :: res integer :: is, i, j ! ! caratio (c/a) ratio is only used for HCP materials ! So, caratio can take any value for other phases than HCP ! ! Reset arrays dirc=0.; norc=0. dir=0.; nor=0. ! ! BCC phase if (phaid == 1) then ! ! ! ! Normalize slip directions and normals do is=1, 48 dir(is,:) = dir1(is,:)/norm2(dir1(is,:)) ! nor(is,:) = nor1(is,:)/norm2(nor1(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! FCC phase elseif (phaid == 2) then ! ! ! ! ! Normalize slip directions and normals do is=1,18 dir(is,:) = dir2(is,:)/norm2(dir2(is,:)) ! nor(is,:) = nor2(is,:)/norm2(nor2(is,:)) end do ! ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! ! ! ! ! HCP phase elseif (phaid == 3) then ! ! slip direction conversion ! [uvtw]->[3u/2 (u+2v)*sqrt(3)/2 w*(c/a)]) do is=1,30 dir(is,1) = 3.*dir3h(is,1)/2. dir(is,2) = (dir3h(is,1) + 2.*dir3h(is,2))*sqrt(3.)/2. dir(is,3) = dir3h(is,4)*caratio end do ! ! ! slip plane conversion ! (hkil)->(h (h+2k)/sqrt(3) l/(c/a)) do is=1,30 nor(is,1) = nor3h(is,1) nor(is,2) = (nor3h(is,1) + 2.*nor3h(is,2))/sqrt(3.) nor(is,3) = nor3h(is,4)/caratio end do ! ! Normalize slip directions and normals do is=1,30 dir(is,:) = dir(is,:)/norm2(dir(is,:)) ! nor(is,:) = nor(is,:)/norm2(nor(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! ! alpha-Uranium elseif (phaid == 4) then ! ! Normalize slip directions and normals do is=1,8 dir(is,:) = dir4(is,:)/norm2(dir4(is,:)) ! nor(is,:) = nor4(is,:)/norm2(nor4(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! else ! ! Error message needed! ! Phase number is not within the available options call error(4) ! ! ! end if ! ! ! Transverse directions trac = 0. do i = 1, nslip ! call vecprod(dirc(i,1:3),norc(i,1:3),trac(i,1:3)) ! end do ! ! ! ! Dislocation line directions: ! ! If screw systems are defined if (nscrew>0) then ! ! ! Build up the screw slip systems select case(phaid) ! ! ! ! BCC case(1) ! ! a/2<111> screw(1) = 1 screw(2) = 2 screw(3) = 3 screw(4) = 6 ! ! ! FCC case(2) ! screw(1) = 1 screw(2) = 2 screw(3) = 3 screw(4) = 4 screw(5) = 6 screw(6) = 8 ! ! ! ! HCP case(3) ! ! slip screw(1) = 1 screw(2) = 2 screw(3) = 3 ! screw(4) = 7 screw(5) = 8 screw(6) = 9 screw(7) = 10 screw(8) = 11 screw(9) = 12 ! ! ! ! end select ! end if ! ! ! ! slip2screw mapping slip2screw = 0. ! Loop through the defined screw systems for equivalency do i = 1, nscrew ! ! Screw system corresponding slip system is = screw(i) ! ! Set the mapping to 1/2 slip2screw(i,is) = 0.5 ! ! Loop through all possible slip sytems do j = 1, nslip ! ! Caclulate the difference in Burgers vector res = dot_product(dirc(is,1:3),dirc(j,1:3)) ! ! If all the components of the vector is the same if (abs(res)>0.99) then ! ! Assign the component of mapping as 1/2 slip2screw(i,j) = 0.5 ! ! end if ! ! Loop for slip sytems end do ! ! ! Loop for screw systems end do ! ! ! ! ! ! ! Calculate line directions for edge dislocations linc = 0. do i = 1, nslip ! call vecprod(dirc(i,1:3),norc(i,1:3),linc(i,1:3)) ! end do ! ! Calculate line directions for screw dislocations ! If screw dislocations exist if (nscrew>0) then ! do i = 1, nscrew ! linc(nslip+i,1:3) = dirc(screw(i),1:3) ! end do ! end if ! ! ! Compute forest projection operator for GNDs forestproj = 0. do i = 1, nslip ! do j = 1, nslip+nscrew ! forestproj(i,j) = + abs(dot_product(norc(i,1:3),linc(j,1:3))) ! enddo ! enddo ! ! ! ! ! ! ! ! return end subroutine initialize_slipvectors ! ! ! ! end module initializations ================================================ FILE: Example - Single crystal with material vox file/innerloop.f ================================================ module innerloop implicit none contains ! ! subroutine Dunne_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! use globalvariables, only : I6 ! use userinputs, only : maxniter, tolerance, + maxnparam, maxnloop, SVDinversion, maxnslip ! use utilities, only : matvec6, + nolapinverse, SVDinverse ! use slip, only : sinhslip, doubleexpslip, + powerslip ! use creep, only : expcreep ! use errors, only : error ! implicit none ! ! INPUTS ! ! Initial Schmid tensor real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! creep model no. integer, intent(in) :: creepmodel ! creep model parameters real(8), intent(in) :: creepparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! ! time increment real(8), intent(in) :: dt ! trial stress real(8), intent(in) :: sigmatr(6) ! overall crss real(8), intent(in) :: tauceff(nslip) ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! total slip per slip system accumulated over the time ! at the current time step real(8), intent(in) :: gammasum(nslip) ! ! INOUTS ! Cauchy stress real(8), intent(inout) :: sigma(6) ! overall crss real(8), intent(inout) :: tau(nslip) ! convergence flag integer, intent(inout) :: cpconv ! ! OUTPUTS ! slip rates at the current time step real(8), intent(out) :: gammadot(nslip) ! plastic velocity gradient real(8), intent(out) :: Lp(3,3) ! Total deformation rate real(8), intent(out) :: Dp(3,3) ! Total deformation rate real(8), intent(out) :: dstranp33(3,3) ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8), intent(out) :: invdpsi_dsigma(6,6) ! number of iterations integer, intent(out) :: iter ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3) ! plastic velocity gradient for creep real(8) Lp_c(3,3) ! Sym part of plastic velocity gradient for slip real(8) Dp_s(3,3) ! Sym part of plastic velocity gradient for creep real(8) Dp_c(3,3) ! plastic tangent stiffness for slip real(8) Pmat_s(6,6) ! plastic tangent stiffness for creep real(8) Pmat_c(6,6) ! tangent matrix for NR iteration real(8) Pmat(6,6) ! slip rates for slip real(8) gammadot_s(nslip) ! slip rates for creep real(8) gammadot_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtau_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtau_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtauc_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtauc_c(nslip) ! ! plastic strain increment real(8) :: dstranp(6) ! ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8) :: dpsi_dsigma(6,6) ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psi(6) ! ! ! ! stress increment real(8) :: dsigma(6) ! ! error flag for svd inversion integer :: err ! integer :: is ! ! Reset variables for the inner iteration psinorm = 1. iter = 0 ! ! ! Newton-Raphson (NR) iteration to find stress increment do while ((psinorm >= tolerance) +.and.(iter < maxniter).and.(cpconv == 1)) ! ! ! Slip models to find slip rates ! ! none if (slipmodel == 0) then ! Lp_s = 0. Dp_s = 0. Pmat_s = 0. gammadot_s = 0. ! ! ! sinh law elseif (slipmodel == 1) then ! call sinhslip(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,rhofor,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s,Dp_s,Pmat_s, + gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! ! exponential law elseif (slipmodel == 2) then ! ! call doubleexpslip(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,burgerv,dt,nslip,phaid, + mattemp,slipparam,irradiationmodel, + irradiationparam,cubicslip,caratio, + Lp_s,Dp_s,Pmat_s,gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! ! power law elseif (slipmodel == 3) then ! ! call powerslip(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s,Dp_s,Pmat_s, + gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! end if ! ! ! ! Slip due to creep if (creepmodel == 0) then ! ! Lp_c = 0. Dp_c = 0. Pmat_c = 0. gammadot_c = 0. ! ! elseif (creepmodel == 1) then ! ! ! call expcreep(Schmid_0,Schmid,SchmidxSchmid, + tau,X,tauceff,dt,nslip,phaid, + mattemp,creepparam,gammasum,Lp_c,Dp_c,Pmat_c, + gammadot_c,dgammadot_dtau_c, + dgammadot_dtauc_c) ! ! ! ! endif ! ! ! Sum the effects of creep and slip rates Lp = Lp_s + Lp_c Dp = Dp_s + Dp_c Pmat = Pmat_s + Pmat_c gammadot = gammadot_s + gammadot_c ! ! ! ! Check for NaN in the slip rates if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 return endif ! ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 return endif ! ! Check for the Pmat if(any(Pmat /= Pmat)) then ! did not converge cpconv = 0 return endif ! ! ! ! Plastic strain increment dstranp33 = Dp*dt call matvec6(dstranp33,dstranp) dstranp(4:6)=2.*dstranp(4:6) ! ! ! ! ! Tangent-stiffness calculation ! Jacobian of the Newton loop (see Dunne, Rugg, Walker, 2007) dpsi_dsigma = I6 + matmul(Cs, Pmat) ! ! ! ! Invert (double precision version) call nolapinverse(dpsi_dsigma,invdpsi_dsigma,6) ! ! ! If inversion is not successfull! ! Check for the inverse if(any(invdpsi_dsigma /= invdpsi_dsigma)) then ! ! Try using singular value decomposition ! If singular value decomposition is ON if (SVDinversion==1) then ! ! Invert call SVDinverse(dpsi_dsigma,6,invdpsi_dsigma,err) ! ! ! else ! ! ! did not converge err = 1 ! ! ! end if ! ! Check again and if still not successfull if(err==1) then ! did not converge cpconv = 0 return end if ! ! endif ! ! ! ! residual (predictor - corrector scheme) psi = sigmatr - sigma - matmul(Cs,dstranp) ! ! norm of the residual psinorm = sqrt(sum(psi*psi)) ! ! ! stress increment dsigma = matmul(invdpsi_dsigma,psi) ! ! ! stress update sigma = sigma + dsigma ! ! ! ! calculate resolved shear stress on slip systems ! rss and its sign do is = 1, nslip tau(is) = dot_product(Schmidvec(is,:),sigma) end do ! ! ! increment iteration no. iter = iter + 1 ! ! End of NR iteration (inner loop) end do ! ! ! ! ! return end subroutine Dunne_innerloop ! ! ! ! ! ! ! ! ! This subroutine is written by Chris Hardie (11/10/2023) ! Explicit state update rule ! Solution using state variables at the former time step subroutine Hardie_innerloop( + Schmid_0,Schmid, + SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + irradiationmodel, + irradiationparam, + dt,sigmatr, + abstautr,signtautr, + tauceff,rhofor,X, + sigma,iterinverse) ! use globalvariables, only : I3, I6, smallnum ! use userinputs, only : maxniter, maxnparam, maxnslip, + inversetolerance ! use utilities, only : matvec6, gmatvec6 ! use slipreverse, only : sinhslipreverse, powerslipreverse, + doubleexpslipreverse ! ! implicit none ! ! ! INPUTS ! ! Initial Schmid tensor real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! ! time increment real(8), intent(in) :: dt ! trial stress real(8), intent(in) :: sigmatr(6) ! absolute value of trial RSS real(8), intent(in) :: abstautr(nslip) ! sign of trial RSS real(8), intent(in) :: signtautr(nslip) ! overall crss real(8), intent(in) :: tauceff(nslip) ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! ! OUTPUTS ! Cauchy stress real(8), intent(out) :: sigma(6) ! Number of iterations integer, intent(out) :: iterinverse ! ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3) ! slip rates for slip real(8) gammadot_s(nslip) ! absolute slip rates real(8) absgammadot_s(nslip) ! sign of gammadot_s real(8) signgammadot_s(nslip) ! derivative of rss wrt slip rates for slip real(8) dtau_dgammadot_s(nslip,nslip) ! derrivative of error function real(8) dpsi_dgammadot(nslip,nslip) ! inverse of derivative above real(8) dpsi_dgammadotinv(nslip,nslip) ! slip correction real(8) dgammadot(nslip) ! Derivative of slip law in forward direction real(8) :: dgammadot_dtau(nslip) ! rss at the former time step real(8) :: tau(nslip), tau_e(nslip) ! absolute value of rss at the former time step real(8) :: abstau(nslip) ! sign of rss at the former time step real(8) :: signtau(nslip) ! ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psinorm2, psi(nslip) ! ! Forward Jacobian real(8) :: Pmat(6,6) real(8) :: dpsi_dsigma(6,6) ! LU decomposition matricies for calculation of determinant ! real(8), allocatable :: l(:,:), u(:,:) ! integer, allocatable :: p(:,:) ! ! plastic strain increment real(8) :: plasstraininc33(3,3), plasstraininc(6) real(8) :: plasstrainrate(3,3) ! ! Shear Stiffness Matrix real(8) :: G(nslip,nslip) ! ! other variables real(8) :: dummy6(6), damping, iter_max, activesum integer :: is ! ! allocate(dpsi_dsigma(6,6),l(6,6),u(6,6),p(6,6)) ! ! ! Reset variables for iteration iter_max=10000.0 iterinverse = 0 psinorm = 1.0d+200 psinorm2 = 1.0d+200 ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigmatr abstau = abstautr signtau =signtautr tau_e = abstau*signtau gammadot_s=0. absgammadot_s=0. Lp_s=0. ! ! Build Shear stiffness matrix ! G = 0. do is = 1, nslip dummy6 = matmul(Cs, Schmidvec(is,:)) G(is,is) = dot_product(Schmidvec(is,:), dummy6) end do ! ! Newton-Raphson (NR) iteration to find stress increment do while ((psinorm >= inversetolerance))! .OR. (psinorm2 >= tol2))!((psinorm >= tol)) !((psinorm >= tol) .AND. (psinorm2 >= tol2)) ! ! increment iteration no. iterinverse = iterinverse + 1 ! ! Slip models to find slip rates ! ! none if (slipmodel == 0) then ! gammadot_s = 0. ! ! sinh law elseif (slipmodel == 1) then ! call sinhslipreverse( + Schmid,SchmidxSchmid,signtau, + abstau,tau,X,tauceff,rhofor,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s, + absgammadot_s, gammadot_s, + dtau_dgammadot_s, dgammadot_dtau,Pmat) ! ! ! ! double exponent law (exponential law) elseif (slipmodel == 2) then ! ! call doubleexpslipreverse( + Schmid,SchmidxSchmid, + tau,X,abstau,signtau,tauceff, + burgerv,dt,nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp_s,Pmat,absgammadot_s,gammadot_s, + dtau_dgammadot_s,dgammadot_dtau) ! ! ! power law elseif (slipmodel == 3) then ! ! call powerslipreverse( + Schmid,SchmidxSchmid, + tau,X,abstau,signtau,tauceff, + burgerv,dt,nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp_s,absgammadot_s, gammadot_s,dtau_dgammadot_s, + dgammadot_dtau, Pmat) ! ! end if ! ! calculate resolved shear stress on slip systems ! rss and its sign activesum=0 do is = 1, nslip tau(is) = signtau(is)*abstau(is) if (abstau(is) .GE. tauceff(is)) then activesum=activesum+1.0 end if end do ! ! residual (predictor - corrector) including backstress psi = tau - X - tau_e ! ! norm of the residual psinorm2 = sqrt(sum(psi*psi)) ! ! Forward Jacobian dgammadot_dtau=abs(dgammadot_dtau)*dt psinorm = maxval(dgammadot_dtau) ! ! ! CALL LU_DECOMP(dpsi_dsigma, p, l, u) ! ! ! ! dpsi_dgammadot ! dpsi_dgammadot = dtau_dgammadot_s + G*dt ! ! Invert diagonal matrix dpsi_dgammadotinv=0. do is = 1, nslip dpsi_dgammadotinv(is,is)=1/dpsi_dgammadot(is,is) end do ! ! damping=min(2.0/activesum, 1.0)!0.5) ! damping = 0.5 ! if (psinorm > 200.0) then ! damping=min(2.0/activesum, 0.5) ! end if ! ! slip increment dgammadot = matmul(dpsi_dgammadotinv,psi) ! gammadot_s = gammadot_s-damping*dgammadot ! ! ! Calculate Plastic Strain Lp_s=0.; plasstrainrate=0. do is = 1, nslip Lp_s = Lp_s + gammadot_s(is)*Schmid_0(is,:,:) plasstrainrate = plasstrainrate + + gammadot_s(is)*Schmid(is,:,:) absgammadot_s(is) = abs(gammadot_s(is)) signgammadot_s(is)= sign(1.0,gammadot_s(is)) end do ! ! plastic strain rate plasstrainrate = (plasstrainrate + + transpose(plasstrainrate))/2. ! ! ! Plastic strain increment plasstraininc33 = plasstrainrate*dt call matvec6(plasstraininc33,plasstraininc) plasstraininc(4:6)=2.*plasstraininc(4:6) call gmatvec6(plasstraininc33,plasstraininc) ! ! Calculate rss following plastic relaxation ! sigma=sigmatr-matmul(Cs,plasstraininc) ! ! calculate resolved shear stress on slip systems ! rss and its sign do is = 1, nslip tau_e(is) = dot_product(Schmidvec(is,:),sigma) tau(is) = tau_e(is) signtau(is) = sign(1.0,tau(is)) abstau(is) = abs(tau(is)) end do ! ! check if slip is changing direction do is = 1, nslip if (signgammadot_s(is) /= signtau(is)) then gammadot_s(is)=0.0 absgammadot_s(is)=0.0 end if end do ! if (iterinverse > iter_max) then psinorm=1e-10 psinorm2=1e-10 end if ! ! End of NR iteration for stress approximation end do !active_s=1 !do is = 1, nslip ! if (absgammadot_s(is) > 0.0) then ! active_s(is)=1 ! end if !end do return end subroutine Hardie_innerloop ! end module innerloop ================================================ FILE: Example - Single crystal with material vox file/irradiation.f ================================================ ! Specific subroutines for irradiation models ! ! Strength and hardening interaction matrices for irradiation model-2 module irradiation implicit none ! ! contains ! ! ! Subroutine to calculate strength interaction matrix for ! irradiation model-2 ! Ref: https://doi.org/10.1016/j.actamat.2022.118361 subroutine calculateintmats4irradmodel2(nslip, dirc, norc, + irradiationparam, sintmat, hintmat) use userinputs, only: maxnslip, maxnparam implicit none ! Inputs ! Number of slip systems integer, intent(in) :: nslip ! Normalize slip directions real(8), intent(in) :: dirc(maxnslip,3) ! Normalized slip plane normals real(8), intent(in) :: norc(maxnslip,3) ! Irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! Outputs ! Strength interaction matrix ! Strength interaction: sintmat (nslip x nloop) real(8), intent(out) :: sintmat(maxnslip,maxnslip) ! Hardening (Softening) interaction matrix ! Hardening interaction: hintmat (nloop x nslip) real(8), intent(out) :: hintmat(maxnslip,maxnslip) ! Variables used in this subroutine integer :: nloop ! reaction vector real(8) :: r(3) ! Projected vector (reaction segment) real(8) :: a integer :: i, j, ind ! ! ! ! ! Reset arrays sintmat = 0. hintmat = 0. ! ! ! Number of types of defects nloop = int(irradiationparam(1)) ! ! do i=1,nslip ! do j=1,nloop ! ! Slip system index corresponding to the defect type ind = int(irradiationparam(7+j)) ! ! What is the reaction product for the gliding dislocation on slip ! system 'i' and defect type 'j'? r = dirc(i,:) + dirc(ind,:) ! ! Is this reaction in the slip plane of slip system 'i'? a = dot_product(norc(i,:), r) ! if (a==0.) then sintmat(i,j)=irradiationparam(12) hintmat(j,i)=irradiationparam(14) else sintmat(i,j)=irradiationparam(11) hintmat(j,i)=irradiationparam(13) end if ! end do ! end do ! ! ! ! ! ! ! end subroutine calculateintmats4irradmodel2 ! ! ! end module irradiation ================================================ FILE: Example - Single crystal with material vox file/meshprop.f ================================================ ! Jan. 01st, 2023 ! Eralp Demir ! ! ! ABAQUS Analysis User's Manual (6.10) ! 2D-Plane strain elements ! CPE4 4-node bilinear 4-integration points ! CPE6 6-node quadratic 3-integration points ! CPE8 8-node biquadratic 9-integration points ! CPE8R 8-node biquadratic 4-integration points (reduced integration) ! ! ! 2D-Plane stress elements ! CPS4 4-node bilinear 4-integration points ! CPS6 6-node quadratic 3-integration points ! CPS8 8-node biquadratic 9-integration points ! CPS8R 8-node biquadratic 4-integration points (reduced integration) ! ! ! 3D - element types ! C3D6 6-node linear triangular prism 4-integration points ! C3D8 8-node linear brick 8-integration points ! C3D10 10-node quadratic tetrahedron 4-integration points ! C3D15 15-node quadratic triangular prism 9-integration points ! C3D20 20-node quadratic brick 27-integration points ! C3D20R 20-node quadratic brick 8-integration points (reduced integration) ! module meshprop implicit none contains ! ! Finite element properties ! based on element type subroutine feprop use errors, only : error use globalvariables, only : eltyp, numel, + numtens, numdim, numpt, nnpel, + Nmat, invNmat, dNmat, dNmatc, + ipweights, calculategradient use userinputs, only : gndlinear, gndmodel use utilities, only: nolapinverse ! ! implicit none ! ! Gaussian point coordinates real(8) :: a, b ! Parametric coordinates real(8) :: g, h, r ! ! Separate variables are used for each element type ! in order to avoid using allocatables! ! ! Element type: CPE4 or CPS4 or CPE8R or CPS8R ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP4(4,2) ! Shape functions (nnpel) real(8) :: N_CP4(4) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_CP4(2,4) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP4(4,4) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP4(4,4) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_CP4(4,2,4) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP4(2,4) ! ! ! Element type: CPE6 or CPS6 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP6(3,2) ! Shape functions (nnpel) ! Linear version real(8) :: N_CP3(3) ! Quadratic version real(8) :: N_CP6(6) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_CP3(2,3) ! Quadratic version real(8) :: dN_CP6(2,6) ! Shape function matrix ! Linear version (numpt x nnpel) real(8) :: Nmat_CP3(3,3) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_CP6(6,6) ! Inverse of the shape function matrix (nnpel x numpt) ! Linear version real(8) :: invNmat_CP3(3,3) ! Quadratic version real(8) :: invNmat_CP6(6,3) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_CP3(3,2,3) ! Quadratic version real(8) :: dNmat_CP6(3,2,6) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_CP3(2,3) ! Quadratic version real(8) :: dNmatc_CP6(2,6) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_CP6(3,2) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_CP3(3,2) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_CP6(6,3) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_CP6(6,6) ! ! ! Element type: CPE8 or CPS8 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP8(9,2) ! Shape functions (nnpel) real(8) :: N_CP8(8) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_CP8(2,8) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP8(9,8) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_CP8(8,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP8(8,9) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_CP8(9,2,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP8(2,8) ! Square matrix (nnpel x nnpel) real(8) :: NTN_CP8(8,8) ! ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP8lin(9,4) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP8lin(4,9) ! Shape function derivatives (numpt x numdim x nnpel) real(8) :: dNmat_CP8lin(9,2,4) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP8lin(2,4) ! Square matrix (nnpel x nnpel) real(8) :: NTN_CP8lin(4,4) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_CP8lin(4,4) ! ! ! Element type: C3D8 or C3D20R ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D8(8,3) ! Shape functions (nnpel) real(8) :: N_C3D8(8) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_C3D8(3,8) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D8(8,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D8(8,8) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_C3D8(8,3,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D8(3,8) ! ! ! Element type: C3D10 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D10(4,3) ! Shape functions (nnpel) ! Linear version real(8) :: N_C3D4(4) ! Quadratic version real(8) :: N_C3D10(10) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_C3D4(3,4) ! Quadratic version real(8) :: dN_C3D10(3,10) ! Shape function matrix ! Linear version (numpt x nnpel) real(8) :: Nmat_C3D4(4,4) ! Linear version (numpt_sub x nnpel) real(8) :: Nmat_sub_C3D4(6,4) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_C3D10(10,10) ! Inverse of the shape function matrix (nnpel x numpt) ! Linear version real(8) :: invNmat_C3D4(4,4) ! Quadratic version real(8) :: invNmat_C3D10(10,4) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_C3D4(4,3,4) ! Quadratic version real(8) :: dNmat_C3D10(4,3,10) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_C3D4(3,4) ! Quadratic version real(8) :: dNmatc_C3D10(3,10) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D10(6,3) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D4(6,3) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_C3D10(10,4) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_C3D10(10,10) ! ! ! ! Element type: C3D15 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D15(9,3) ! Shape functions (nnpel) ! Linear version real(8) :: N_C3D6(6) ! Quadratic version real(8) :: N_C3D15(15) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_C3D6(3,6) ! Quadratic version real(8) :: dN_C3D15(3,15) ! Shape function matrix ! Linear version (numpt x nnpel_sub) real(8) :: Nmat_C3D6(9,6) ! Quadratic version (numpt x nnpel_sub) real(8) :: Nmat_sub_C3D6(6,6) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_C3D15(15,15) ! Coefficient matrix ! Linear version (nnpel_sub x numpt) real(8) :: coeff_C3D6(6,6) ! Linear version (nnpel_sub x numpt) real(8) :: invNmat_C3D6(6,9) ! Quadratic version (nnpel x numpt) real(8) :: invNmat_C3D15(15,9) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_C3D6(9,3,6) ! Quadratic version real(8) :: dNmat_C3D15(9,3,15) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_C3D6(3,6) ! Quadratic version real(8) :: dNmatc_C3D15(3,15) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D15(6,3) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D6(6,3) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_C3D15(15,9) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_C3D15(15,15) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D6(6,6) ! ! ! ! ! Element type: C3D20 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D20(27,3) ! Shape functions (nnpel) real(8) :: N_C3D20(20) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_C3D20(3,20) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D20(27,20) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_C3D20(20,20) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D20(20,27) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_C3D20(27,3,20) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D20(3,20) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D20(20,20) ! ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D20lin(27,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D20lin(8,27) ! Shape function derivatives (numpt x numdim x nnpel) real(8) :: dNmat_C3D20lin(27,3,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D20lin(3,8) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D20lin(8,8) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_C3D20lin(8,8) ! ! ! Sub element properties integer :: nnpel_sub, numpt_sub ! Parametric Gauss point coordinates integer :: ipt ! Dummy integers integer :: i, j ! ! ! Identify the element type ! Based on ! - number of integration points per element: numpt ! - dimension of the problem: ntens call findelementtype(numtens,numpt,eltyp) ! ! ! ! !! Output the element type ! write(*,*) 'ABAQUS element type: ', eltyp ! select case(eltyp) ! ! Element type: CPE3 or CPS3 or CPE6R or CPS6R ! Use the same interpolation functions for the reduced elements case('CPE3', 'CPS3', 'CPE6R', 'CPS6R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! Number of dimensions of the problem numdim = 2 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 3 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Element type: CPE4R or CPS4R ! Use the same interpolation functions for the reduced elements case('CPE4R', 'CPS4R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! Number of dimensions of the problem numdim = 2 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Element type: CPE4 or CPS4 or CPE8R or CPS8R ! Use the same interpolation functions for the reduced elements case('CPE4', 'CPS4', 'CPE8R', 'CPS8R') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=1. ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Gauss points GPcoords_CP4 = 0. GPcoords_CP4(1,:) = (/ -1., -1. /) GPcoords_CP4(2,:) = (/ 1., -1. /) GPcoords_CP4(3,:) = (/ -1., 1. /) GPcoords_CP4(4,:) = (/ 1., 1. /) GPcoords_CP4 = GPcoords_CP4/sqrt(3.) ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! ! Gauss point coordinates g = GPcoords_CP4(ipt,1) h = GPcoords_CP4(ipt,2) ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Shape function mapping Nmat_CP4(ipt,1:nnpel) = N_CP4 ! ! Shape function derivative dNmat_CP4(ipt,1:numdim,1:nnpel) = dN_CP4 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP4,invNmat_CP4,4) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Assign the center value dNmatc_CP4 = dN_CP4 ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP4(:,:) dNmat(:,:,:) = dNmat_CP4(:,:,:) invNmat(:,:) = invNmat_CP4(:,:) dNmatc(:,:) = dNmatc_CP4(:,:) ! ! ! Element type: CPE6 or CPS6 case('CPE6', 'CPS6') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1./6. ! ! ! ! ! Gauss points GPcoords_CP6 = 0. GPcoords_CP6(1,:) = (/ 1./6., 1./6. /) GPcoords_CP6(2,:) = (/ 2./3., 1./6. /) GPcoords_CP6(3,:) = (/ 1./6., 2./3. /) ! ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 3 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Use CP3 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP6(ipt,1) h = GPcoords_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3) ! ! Shape function mapping Nmat_CP3(ipt,1:nnpel) = N_CP3 ! ! Shape function derivative dNmat_CP3(ipt,1:numdim,1:nnpel) = dN_CP3 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP3,invNmat_CP3,3) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3) ! ! Assign the center value dNmatc_CP3 = dN_CP3 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP3(:,:) dNmat(:,:,:) = dNmat_CP3(:,:,:) invNmat(:,:) = invNmat_CP3(:,:) dNmatc(:,:) = dNmatc_CP3(:,:) ! ! ! ! ! Quadratic interpolation functions else ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! Number of nodes per element nnpel = 6 ! ! Number of nodes per the sub element nnpel_sub = 3 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_CP6 = 0. GPcoords_sub_CP6(1,:) = (/ 5./12., 1./6. /) GPcoords_sub_CP6(2,:) = (/ 5./12., 5./12. /) GPcoords_sub_CP6(3,:) = (/ 1./6., 5./12. /) ! ! Local coordinates (in its linear form) GPcoords_sub_CP3 = 0. GPcoords_sub_CP3(1,:) = (/ 1./2., 0. /) GPcoords_sub_CP3(2,:) = (/ 1./2., 1./2. /) GPcoords_sub_CP3(3,:) = (/ 0., 1./2. /) ! ! ! ! Use CP6 (quadratic) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP6(ipt,1) h = GPcoords_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Shape function mapping Nmat_CP6(ipt,1:nnpel) = N_CP6 ! ! Shape function derivative dNmat_CP6(ipt,1:numdim,1:nnpel) = dN_CP6 ! end do ! ! ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_CP6(ipt,1) h = GPcoords_sub_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Shape function mapping Nmat_CP6(numpt+ipt,1:nnpel) = N_CP6 ! ! ! ! Gauss point coordinates - local g = GPcoords_sub_CP3(ipt,1) h = GPcoords_sub_CP3(ipt,2) ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel_sub,numdim,g,h,N_CP3,dN_CP3) ! ! Shape function mapping Nmat_CP3(ipt,1:nnpel_sub) = N_CP3 ! ! ! end do ! ! IPmap_CP6=0. ! Identity matrix do i=1,numpt IPmap_CP6(i,i)=1. end do IPmap_CP6(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_CP3 ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP6,coeff_CP6,6) ! ! invNmat_CP6 = matmul(coeff_CP6,IPmap_CP6) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Assign the center value dNmatc_CP6 = dN_CP6 ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP6(:,:) dNmat(:,:,:) = dNmat_CP6(:,:,:) invNmat(:,:) = invNmat_CP6(:,:) dNmatc(:,:) = dNmatc_CP6(:,:) ! ! ! ! ! endif ! ! ! ! ! ! Element type: CPE8 or CPS8 case('CPE8', 'CPS8') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! Integration weights allocate(ipweights(numpt)) ipweights=0. ! ipweights(1) = 0.308641975308642 ipweights(2) = 0.493827160493827 ipweights(3) = 0.308641975308642 ipweights(4) = 0.493827160493827 ipweights(5) = 0.790123456790124 ipweights(6) = 0.493827160493827 ipweights(7) = 0.308641975308642 ipweights(8) = 0.493827160493827 ipweights(9) = 0.308641975308642 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Gauss points GPcoords_CP8 = 0. GPcoords_CP8(1,:) = (/ -1., -1. /) GPcoords_CP8(2,:) = (/ 0., -1. /) GPcoords_CP8(3,:) = (/ 1., -1. /) GPcoords_CP8(4,:) = (/ -1., 0. /) GPcoords_CP8(5,:) = (/ 0., 0. /) GPcoords_CP8(6,:) = (/ 1., 0. /) GPcoords_CP8(7,:) = (/ -1., 1. /) GPcoords_CP8(8,:) = (/ 0., 1. /) GPcoords_CP8(9,:) = (/ 1., 1. /) GPcoords_CP8 = sqrt(0.6) * GPcoords_CP8 ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 4 ! ! ! Use CP4 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP8(ipt,1) h = GPcoords_CP8(ipt,2) ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Shape function mapping Nmat_CP8lin(ipt,1:nnpel) = N_CP4 ! ! Shape function derivative dNmat_CP8lin(ipt,1:numdim,1:nnpel) = dN_CP4 ! end do ! ! ! Make Nmat a square matrix NTN_CP8lin = matmul(transpose(Nmat_CP8lin),Nmat_CP8lin) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_CP8lin,coeff_CP8lin,4) ! ! Overall mapping for mapping from IPs to nodes invNmat_CP8lin=matmul(coeff_CP8lin,transpose(Nmat_CP8lin)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Assign the center value dNmatc_CP8lin = dN_CP4 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP8lin(:,:) dNmat(:,:,:) = dNmat_CP8lin(:,:,:) invNmat(:,:) = invNmat_CP8lin(:,:) dNmatc(:,:) = dNmatc_CP8lin(:,:) ! ! ! ! else ! ! ! ! ! Number of nodes per element nnpel = 8 ! ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP8(ipt,1) h = GPcoords_CP8(ipt,2) ! ! Calculate shape functions and their derivatives call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8) ! ! Shape function mapping Nmat_CP8(ipt,1:nnpel) = N_CP8 ! ! Shape function derivative dNmat_CP8(ipt,1:numdim,1:nnpel) = dN_CP8 ! end do ! ! Make Nmat a square matrix NTN_CP8 = matmul(transpose(Nmat_CP8),Nmat_CP8) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_CP8,coeff_CP8,8) ! ! Overall mapping for mapping from IPs to nodes invNmat_CP8 = matmul(coeff_CP8,transpose(Nmat_CP8)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8) ! ! Assign the center value dNmatc_CP8 = dN_CP8 ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP8(:,:) dNmat(:,:,:) = dNmat_CP8(:,:,:) invNmat(:,:) = invNmat_CP8(:,:) dNmatc(:,:) = dNmatc_CP8(:,:) ! ! end if ! ! case('C3D4') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! case('C3D6') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 6 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! case('C3D8R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 8 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! ! Element type: C3D8 or C3D20R ! Use the same interpolation functions for the reduced element case('C3D8','C3D20R') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! Number of nodes per element nnpel = 8 ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1. ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Gauss points GPcoords_C3D8 = 0. GPcoords_C3D8(1,:) = (/ -1., -1., -1. /) GPcoords_C3D8(2,:) = (/ 1., -1., -1. /) GPcoords_C3D8(3,:) = (/ -1., 1., -1. /) GPcoords_C3D8(4,:) = (/ 1., 1., -1. /) GPcoords_C3D8(5,:) = (/ -1., -1., 1. /) GPcoords_C3D8(6,:) = (/ 1., -1., 1. /) GPcoords_C3D8(7,:) = (/ -1., 1., 1. /) GPcoords_C3D8(8,:) = (/ 1., 1., 1. /) GPcoords_C3D8 = GPcoords_C3D8/sqrt(3.) ! ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D8(ipt,1) h = GPcoords_C3D8(ipt,2) r = GPcoords_C3D8(ipt,3) ! ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! ! ! Shape function mapping Nmat_C3D8(ipt,1:nnpel) = N_C3D8 ! ! ! ! Shape function derivative dNmat_C3D8(ipt,1:numdim,1:nnpel) = dN_C3D8 ! ! end do ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D8,invNmat_C3D8,8) ! ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Assign the center value dNmatc_C3D8 = dN_C3D8 ! ! ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D8(:,:) dNmat(:,:,:) = dNmat_C3D8(:,:,:) invNmat(:,:) = invNmat_C3D8(:,:) dNmatc(:,:) = dNmatc_C3D8(:,:) ! ! ! ! ! ! Element type: C3D10 case('C3D10') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1./4./6. ! ! Gauss points a = 0.138196601125010 b = 0.585410196624968 ! ! GPcoords_C3D10 = 0. GPcoords_C3D10(1,:) = (/ a, a, a /) GPcoords_C3D10(2,:) = (/ b, a, a /) GPcoords_C3D10(3,:) = (/ a, b, a /) GPcoords_C3D10(4,:) = (/ a, a, b /) ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 4 ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Use C3D4 (linear) element function write(*,*) 'Linear interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D10(ipt,1) h = GPcoords_C3D10(ipt,2) r = GPcoords_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Shape function mapping Nmat_C3D4(ipt,1:nnpel) = N_C3D4 ! ! Shape function derivative dNmat_C3D4(ipt,1:numdim,1:nnpel) = dN_C3D4 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D4,invNmat_C3D4,4) ! ! ! Shape function derivatives at the element center g = 1./4. h = 1./4. r = 1./4. ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Assign the center value dNmatc_C3D4 = dN_C3D4 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D4(:,:) dNmat(:,:,:) = dNmat_C3D4(:,:,:) invNmat(:,:) = invNmat_C3D4(:,:) dNmatc(:,:) = dNmatc_C3D4(:,:) ! ! ! ! ! Quadratic interpolation functions else ! ! Number of nodes per element nnpel = 10 ! ! Number of nodes per the sub element nnpel_sub = 4 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_C3D10 = 0. do i=1,numdim GPcoords_sub_C3D10(1,i) = + 0.5*(GPcoords_C3D10(1,i)+GPcoords_C3D10(2,i)) GPcoords_sub_C3D10(2,i) = + 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(3,i)) GPcoords_sub_C3D10(3,i) = + 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(1,i)) GPcoords_sub_C3D10(4,i) = + 0.5*(GPcoords_C3D10(4,i)+GPcoords_C3D10(1,i)) GPcoords_sub_C3D10(5,i) = + 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(4,i)) GPcoords_sub_C3D10(6,i) = + 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(4,i)) end do ! ! ! Local coordinates (in its linear form) GPcoords_sub_C3D4 = 0. GPcoords_sub_C3D4(1,:) = (/ 0.5, 0., 0. /) GPcoords_sub_C3D4(2,:) = (/ 0.5, 0.5, 0. /) GPcoords_sub_C3D4(3,:) = (/ 0., 0.5, 0. /) GPcoords_sub_C3D4(4,:) = (/ 0., 0., 0.5 /) GPcoords_sub_C3D4(5,:) = (/ 0.5, 0., 0.5 /) GPcoords_sub_C3D4(6,:) = (/ 0., 0.5, 0.5 /) ! ! ! ! ! ! Use C3D10 (quadratic) element function write(*,*) 'Quadratic interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D10(ipt,1) h = GPcoords_C3D10(ipt,2) r = GPcoords_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Shape function mapping Nmat_C3D10(ipt,1:nnpel) = N_C3D10 ! ! Shape function derivative dNmat_C3D10(ipt,1:numdim,1:nnpel) = dN_C3D10 ! ! end do ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_C3D10(ipt,1) h = GPcoords_sub_C3D10(ipt,2) r = GPcoords_sub_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Shape function mapping Nmat_C3D10(numpt+ipt,1:nnpel) = N_C3D10 ! ! ! Gauss point coordinates - local g = GPcoords_sub_C3D4(ipt,1) h = GPcoords_sub_C3D4(ipt,2) r = GPcoords_sub_C3D4(ipt,3) ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel_sub,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Shape function mapping Nmat_sub_C3D4(ipt,1:nnpel_sub) = N_C3D4 ! ! end do ! ! ! Identity matrix IPmap_C3D10 = 0. do i=1,numpt IPmap_C3D10(i,i)=1. end do ! IPmap_C3D10(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_sub_C3D4 ! ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D10,coeff_C3D10,10) ! ! ! invNmat_C3D10 = matmul(coeff_C3D10,IPmap_C3D10) ! ! ! Shape function derivatives at the element center g = 1./4. h = 1./4. r = 1./4. ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Assign the center value dNmatc_C3D10 = dN_C3D10 ! ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D10(:,:) dNmat(:,:,:) = dNmat_C3D10(:,:,:) invNmat(:,:) = invNmat_C3D10(:,:) dNmatc(:,:) = dNmatc_C3D10(:,:) ! ! ! ! ! ! ! ! endif ! ! ! ! Element type: C3D15 case('C3D15') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights=1./6./3. ! ! ! ! Isoparametric coordinate (r-axis) a = 0.774596669241483 ! ! GPcoords_C3D15 = 0. GPcoords_C3D15(2,:) = (/ 2./3., 1./6., -1. /) GPcoords_C3D15(1,:) = (/ 1./6., 1./6., -1. /) GPcoords_C3D15(3,:) = (/ 1./6., 2./3., -1. /) GPcoords_C3D15(5,:) = (/ 2./3., 1./6., 0. /) GPcoords_C3D15(4,:) = (/ 1./6., 1./6., 0. /) GPcoords_C3D15(6,:) = (/ 1./6., 2./3., 0. /) GPcoords_C3D15(8,:) = (/ 2./3., 1./6., 1. /) GPcoords_C3D15(7,:) = (/ 1./6., 1./6., 1. /) GPcoords_C3D15(9,:) = (/ 1./6., 2./3., 1. /) ! GPcoords_C3D15(:,3) = GPcoords_C3D15(:,3) * a ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 6 ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! Use C3D6 (linear) element function write(*,*) 'Linear interpolation will be used for GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D15(ipt,1) h = GPcoords_C3D15(ipt,2) r = GPcoords_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Shape function mapping Nmat_C3D6(ipt,1:nnpel) = N_C3D6 ! ! Shape function derivative dNmat_C3D6(ipt,1:numdim,1:nnpel) = dN_C3D6 ! end do ! ! NTN_C3D6 = matmul(transpose(Nmat_C3D6),Nmat_C3D6) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D6,coeff_C3D6,6) ! ! invNmat_C3D6 = matmul(coeff_C3D6,transpose(Nmat_C3D6)) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. r = 0. ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Assign the center value dNmatc_C3D6 = dN_C3D6 ! ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D6(:,:) dNmat(:,:,:) = dNmat_C3D6(:,:,:) invNmat(:,:) = invNmat_C3D6(:,:) dNmatc(:,:) = dNmatc_C3D6(:,:) ! ! ! ! ! ! ! ! Quadratic interpolation functions else ! ! Number of nodes per element nnpel = 15 ! ! Number of nodes of the sub-element nnpel_sub = 6 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_C3D15 = 0. do i=1,numdim GPcoords_sub_C3D15(1,i) = + 0.5*(GPcoords_C3D15(1,i)+GPcoords_C3D15(2,i)) GPcoords_sub_C3D15(2,i) = + 0.5*(GPcoords_C3D15(2,i)+GPcoords_C3D15(3,i)) GPcoords_sub_C3D15(3,i) = + 0.5*(GPcoords_C3D15(3,i)+GPcoords_C3D15(1,i)) GPcoords_sub_C3D15(4,i) = + 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(8,i)) GPcoords_sub_C3D15(5,i) = + 0.5*(GPcoords_C3D15(8,i)+GPcoords_C3D15(9,i)) GPcoords_sub_C3D15(6,i) = + 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(9,i)) end do ! ! ! Local coordinates (in its linear form) GPcoords_sub_C3D6 = 0. GPcoords_sub_C3D6(1,:) = (/ 0.5, 0., -1. /) GPcoords_sub_C3D6(2,:) = (/ 0.5, 0.5, -1. /) GPcoords_sub_C3D6(3,:) = (/ 0., 0.5, -1. /) GPcoords_sub_C3D6(4,:) = (/ 0.5, 0., 1. /) GPcoords_sub_C3D6(5,:) = (/ 0.5, 0.5, 1. /) GPcoords_sub_C3D6(6,:) = (/ 0., 0.5, 1. /) ! ! ! ! ! ! Use C3D15 (quadratic) element function write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D15(ipt,1) h = GPcoords_C3D15(ipt,2) r = GPcoords_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Shape function mapping Nmat_C3D15(ipt,1:nnpel) = N_C3D15 ! ! Shape function derivative dNmat_C3D15(ipt,1:numdim,1:nnpel) = dN_C3D15 ! ! end do ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_C3D15(ipt,1) h = GPcoords_sub_C3D15(ipt,2) r = GPcoords_sub_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Shape function mapping Nmat_C3D15(numpt+ipt,1:nnpel) = N_C3D15 ! ! ! ! ! Gauss point coordinates - local g = GPcoords_sub_C3D6(ipt,1) h = GPcoords_sub_C3D6(ipt,2) r = GPcoords_sub_C3D6(ipt,3) ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel_sub,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Shape function mapping Nmat_sub_C3D6(ipt,1:nnpel_sub) = N_C3D6 ! ! ! end do ! ! ! Identity matrix IPmap_C3D15=0. do i=1,numpt IPmap_C3D15(i,i)=1. end do IPmap_C3D15(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_sub_C3D6 ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D15,coeff_C3D15,15) ! ! invNmat_C3D15 = matmul(coeff_C3D15,IPmap_C3D15) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. r = 0. ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Assign the center value dNmatc_C3D15 = dN_C3D15 ! ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D15(:,:) dNmat(:,:,:) = dNmat_C3D15(:,:,:) invNmat(:,:) = invNmat_C3D15(:,:) dNmatc(:,:) = dNmatc_C3D15(:,:) ! ! ! ! ! ! endif ! ! ! ! ! ! ! Element type: C3D20 case('C3D20') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ipweights(1) = 0.171467764060357 ipweights(2) = 0.274348422496571 ipweights(3) = 0.171467764060357 ipweights(4) = 0.274348422496571 ipweights(5) = 0.438957475994513 ipweights(6) = 0.274348422496571 ipweights(7) = 0.171467764060357 ipweights(8) = 0.274348422496571 ipweights(9) = 0.171467764060357 ipweights(10) = 0.274348422496571 ipweights(11) = 0.438957475994513 ipweights(12) = 0.274348422496571 ipweights(13) = 0.438957475994513 ipweights(14) = 0.702331961591221 ipweights(15) = 0.438957475994513 ipweights(16) = 0.274348422496571 ipweights(17) = 0.438957475994513 ipweights(18) = 0.274348422496571 ipweights(19) = 0.171467764060357 ipweights(20) = 0.274348422496571 ipweights(21) = 0.171467764060357 ipweights(22) = 0.274348422496571 ipweights(23) = 0.438957475994513 ipweights(24) = 0.274348422496571 ipweights(25) = 0.171467764060357 ipweights(26) = 0.274348422496571 ipweights(27) = 0.171467764060357 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! GPcoords_C3D20 = 0. GPcoords_C3D20(1,:)= (/ -1., -1., -1. /) GPcoords_C3D20(2,:)= (/ 0., -1., -1. /) GPcoords_C3D20(3,:)= (/ 1., -1., -1. /) GPcoords_C3D20(4,:)= (/ -1., 0., -1. /) GPcoords_C3D20(5,:)= (/ 0., 0., -1. /) GPcoords_C3D20(6,:)= (/ 1., 0., -1. /) GPcoords_C3D20(7,:)= (/ -1., 1., -1. /) GPcoords_C3D20(8,:)= (/ 0., 1., -1. /) GPcoords_C3D20(9,:)= (/ 1., 1., -1. /) GPcoords_C3D20(10,:)= (/ -1., -1., 0. /) GPcoords_C3D20(11,:)= (/ 0., -1., 0. /) GPcoords_C3D20(12,:)= (/ 1., -1., 0. /) GPcoords_C3D20(13,:)= (/ -1., 0., 0. /) GPcoords_C3D20(14,:)= (/ 0., 0., 0. /) GPcoords_C3D20(15,:)= (/ 1., 0., 0. /) GPcoords_C3D20(16,:)= (/ -1., 1., 0. /) GPcoords_C3D20(17,:)= (/ 0., 1., 0. /) GPcoords_C3D20(18,:)= (/ 1., 1., 0. /) GPcoords_C3D20(19,:)= (/ -1., -1., 1. /) GPcoords_C3D20(20,:)= (/ 0., -1., 1. /) GPcoords_C3D20(21,:)= (/ 1., -1., 1. /) GPcoords_C3D20(22,:)= (/ -1., 0., 1. /) GPcoords_C3D20(23,:)= (/ 0., 0., 1. /) GPcoords_C3D20(24,:)= (/ 1., 0., 1. /) GPcoords_C3D20(25,:)= (/ -1., 1., 1. /) GPcoords_C3D20(26,:)= (/ 0., 1., 1. /) GPcoords_C3D20(27,:)= (/ 1., 1., 1. /) GPcoords_C3D20 = GPcoords_C3D20 * sqrt(0.6) ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 8 ! ! ! ! ! Use C3D8 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D20(ipt,1) h = GPcoords_C3D20(ipt,2) r = GPcoords_C3D20(ipt,3) ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Shape function mapping Nmat_C3D20lin(ipt,1:nnpel) = N_C3D8 ! ! Shape function derivative dNmat_C3D20lin(ipt,1:numdim,1:nnpel) = dN_C3D8 ! end do ! ! ! Make Nmat a square matrix NTN_C3D20lin = + matmul(transpose(Nmat_C3D20lin),Nmat_C3D20lin) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D20lin,coeff_C3D20lin,8) ! ! Overall mapping for mapping from IPs to nodes invNmat_C3D20lin = + matmul(coeff_C3D20lin,transpose(Nmat_C3D20lin)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Assign the center value dNmatc_C3D20lin = dN_C3D8 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D20lin(:,:) dNmat(:,:,:) = dNmat_C3D20lin(:,:,:) invNmat(:,:) = invNmat_C3D20lin(:,:) dNmatc(:,:) = dNmatc_C3D20lin(:,:) ! ! ! ! else ! ! ! ! ! Number of nodes per element nnpel = 20 ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D20(ipt,1) h = GPcoords_C3D20(ipt,2) r = GPcoords_C3D20(ipt,3) ! ! Calculate shape functions and their derivatives call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20) ! ! Shape function mapping Nmat_C3D20(ipt,1:nnpel) = N_C3D20 ! ! Shape function derivative dNmat_C3D20(ipt,1:numdim,1:nnpel) = dN_C3D20 ! end do ! ! ! Make Nmat a square matrix NTN_C3D20 = matmul(transpose(Nmat_C3D20),Nmat_C3D20) ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D20,coeff_C3D20,20) ! ! Overall mapping to map from the IPs to the nodes invNmat_C3D20 = matmul(coeff_C3D20,transpose(Nmat_C3D20)) ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20) ! ! Assign the center value dNmatc_C3D20 = dN_C3D20 ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D20(:,:) dNmat(:,:,:) = dNmat_C3D20(:,:,:) invNmat(:,:) = invNmat_C3D20(:,:) dNmatc(:,:) = dNmatc_C3D20(:,:) ! ! end if ! ! ! case default ! call error(2) ! ! end select ! ! write(*,*) 'Dimension of the analysis: ', numdim write(*,*) 'Number of integration points per element: ', numpt ! write(*,*) 'Number of nodes per element: ', nnpel ! ! ! return end subroutine feprop ! ! ! ! Find the number of nodes for displacement analysis (not for GND analysis) subroutine findelementtype(numtens,numpt,eltyp) implicit none integer, intent(in) :: numtens integer, intent(in) :: numpt character(len=:), allocatable, intent(out) :: eltyp ! ! ! Determine the element type ! Based on the dimension of the problem (numdim=ntens) ! ! Dimension of the problem (2D-plane stress) if (numtens==3) then ! select case(numpt) ! ! 2D - CPS3 / CPS6R / CPS4R case(1) ! eltyp = 'CPS3' ! ! 2D - CPS4 / CPS8R case(4) ! eltyp = 'CPS4' ! ! 2D - CPS6 case(3) ! eltyp = 'CPS6' ! ! 2D - 8 node quadratic quadrilateral case(9) ! eltyp = 'CPS8' ! end select ! ! Dimension of the problem (2D - Plane strain) elseif (numtens==4) then ! select case(numpt) ! ! 2D - CPS3 / CPS6R / CPS4R case(1) ! eltyp = 'CPE3' ! ! 2D - CPS4 / CPS8R case(4) ! eltyp = 'CPE4' ! ! 2D - CPS6 case(3) ! eltyp = 'CPE6' ! ! 2D - 8 node quadratic quadrilateral case(9) ! eltyp = 'CPE8' ! end select ! ! ! Dimension of the problem (3D) elseif (numtens==6) then ! select case(numpt) ! ! 3D - C3D4 / C3D8R / C3D10R case(1) ! eltyp = 'C3D4' ! ! 3D - C3D6 / C3D15R case(2) ! eltyp = 'C3D6' ! ! 3D - C3D8 / C3D20R case(8) ! eltyp = 'C3D8' ! ! 3D - C3D10 case(4) ! eltyp = 'C3D10' ! ! 3D - C3D15 case(9) ! eltyp = 'C3D15' ! ! 3D - C3D20 case(27) ! eltyp = 'C3D20' ! end select ! end if ! write(*,*) 'Element type identified as: ', eltyp ! return end subroutine findelementtype ! ! ! Contains the element-by-element initializations ! Done only once at the first run subroutine initialize_gradientoperators use globalvariables, only : numel, + numdim, numpt, nnpel, gradip2ip, ipweights, + ipcoords, ipdomain, Nmat, invNmat, dNmat, dNmatc use userinputs, only : gndlinear use utilities, only: nolapinverse, inv2x2, inv3x3 implicit none ! Gauss point coordinates in sample reference real(8) :: xIP(numpt,numdim) ! Node point coordinates real(8) :: xnode(nnpel,numdim) ! Jacobian transpose real(8) :: JT(numdim,numdim) ! Jacobian inverse transpose real(8) :: invJT(numdim,numdim) ! Determinant of the inversion real(8) :: det ! Gradient operator real(8) :: grad(numdim,nnpel) ! Overall mapping real(8) :: grad_invN(numdim,numpt) ! Element number and ip number integer :: iel, ipt ! ! ! ! ! Loop through each element do iel = 1, numel ! ! ! ! Vectorize element ipcoordinates xIP = 0. do ipt = 1, numpt ! xIP(ipt,1:numdim) = ipcoords(iel,ipt,1:numdim) ! end do ! ! ! ! ! xnode = matmul(invNmat,xIP) ! ! ! ! ! ! For each integration point do ipt = 1, numpt ! ! ! Calculate jacobian (transpose) for isoparametric space to real reference JT = matmul(dNmat(ipt,1:numdim,1:nnpel),xnode) ! ! ! ! ! Invert the Jacobian if (numdim==2) then ! call inv2x2(JT,invJT,det) ! elseif (numdim==3) then ! call inv3x3(JT,invJT,det) ! endif ! ! ! IP domain size ipdomain(iel,ipt) = det * ipweights(ipt) ! ! ! ! Gradient operator grad = matmul(invJT,dNmat(ipt,1:numdim,1:nnpel)) ! ! ! ! Overall mapping grad_invN = matmul(grad,invNmat) ! ! ! ! ! Store gradip2ip(iel,ipt,1:numdim,1:numpt) = grad_invN ! ! ! ! ! end do ! ! write(*,*) 'vol: ', sum(ipdomain(iel,:)) ! write(*,*) '******************' ! ! For the center of the element ! ! Calculate jacobian (transpose) for isoparametric space to real reference JT = matmul(dNmatc,xnode) ! ! Invert the Jacobian if (numdim==2) then ! call inv2x2(JT,invJT,det) ! elseif (numdim==3) then ! call inv3x3(JT,invJT,det) ! endif ! ! ! Gradient operator grad = matmul(invJT,dNmatc) ! ! ! Overall mapping grad_invN = matmul(grad, invNmat) ! ! Store gradip2ip(iel,numpt+1,1:numdim,1:numpt) = grad_invN ! ! ! ! ! end do ! ! return end subroutine initialize_gradientoperators ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE3 or CPS3 subroutine CP3_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP3 element N(1) = 1. - g - h ! N(2) = g ! N(3) = h ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = -1. ! dN(1,2) = 1. ! dN(1,3) = 0. ! ! dN_dh dN(2,1) = -1. ! dN(2,2) = 0. ! dN(2,3) = 1. ! ! ! ! return end subroutine CP3_N_dN ! ! ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE4 or CPS4 or CPE8R or CPS8R subroutine CP4_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP4 element N(1) = (1. - g) * (1. - h) / 4. ! N(2) = (1. + g) * (1. - h) / 4. ! N(3) = (1. + g) * (1. + h) / 4. ! N(4) = (1. - g) * (1. + h) / 4. ! ! ! ! ! Shape function derivatives wrt natural coords for CP4 element ! ! dN_dg dN(1,1) = -1. * (1. - h) / 4. ! dN(1,2) = 1. * (1. - h) / 4. ! dN(1,3) = 1. * (1. + h) / 4. ! dN(1,4) = -1. * (1. + h) / 4. ! ! dN_dh dN(2,1) = (1. - g) * -1. / 4. ! dN(2,2) = (1. + g) * -1. / 4. ! dN(2,3) = (1. + g) * 1. / 4. dN(2,4) = (1. - g) * 1. / 4. ! ! ! ! ! return end subroutine CP4_N_dN ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE6 or CPS6 subroutine CP6_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP6 element N(1) = 2. * (0.5 - g - h) * (1. - g - h) ! N(2) = 2. * g * (g - 0.5) ! N(3) = 2. * h * (h - 0.5) ! N(4) = 4. * g * (1. - g - h) ! N(5) = 4. * g * h ! N(6) = 4. * h * (1. - g - h) ! ! ! ! ! Shape function derivatives wrt natural coords for C3D4 element ! dN_dg dN(1,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.) ! dN(1,2) = 2. * (1.) * (g - 0.5) + 2. * g * (1.) ! dN(1,3) = 0. ! dN(1,4) = 4. * (1.) * (1. - g - h) + 4. * g * (-1.) ! dN(1,5) = 4. * (1.) * h ! dN(1,6) = 4. * h * (-1.) ! ! dN_dh dN(2,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.) ! dN(2,2) = 0. ! dN(2,3) = 2. * (1.) * (h - 0.5) + 2. * h * (1.) ! dN(2,4) = 4. * g * (-1.) ! dN(2,5) = 4. * g * (1.) ! dN(2,6) = 4. * (1.) * (1. - g - h) + 4. * h * (-1.) ! ! ! ! return end subroutine CP6_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE8 or CPS8 subroutine CP8_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP8 element N(1) = -1./4. * (1. - g) * (1. - h) * (1. + g + h) ! N(2) = -1./4. * (1. + g) * (1. - h) * (1. - g + h) ! N(3) = -1./4. * (1. + g) * (1. + h) * (1. - g - h) ! N(4) = -1./4. * (1. - g) * (1. + h) * (1. + g - h) ! N(5) = 1./2. * (1. - g) * (1. + g) * (1. - h) ! N(6) = 1./2. * (1. - h) * (1. + h) * (1. + g) ! N(7) = 1./2. * (1. - g) * (1. + g) * (1. + h) ! N(8) = 1./2. * (1. - h) * (1. + h) * (1. - g) ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP8 element ! dN_dg dN(1,1) = (-1./4.) * (-1.) * (1. - h) * (1. + g + h) + + (-1./4.) * (1. - g) * (1. - h) * (1.) ! dN(1,2) = (-1./4.) * (1.) * (1. - h) * (1. - g + h) + + (-1./4.) * (1. + g) * (1. - h) * (-1.) ! dN(1,3) = (-1./4.) * (1.) * (1. + h) * (1. - g - h) + + (-1./4.) * (1. + g) * (1. + h) * (-1.) ! dN(1,4) = (-1./4.) * (-1.) * (1. + h) * (1. + g - h) + + (-1./4.) * (1. - g) * (1. + h) * (1.) ! dN(1,5) = 1./2. * (-1.) * (1. + g) * (1. - h) + + 1./2. * (1. - g) * (1.) * (1. - h) ! dN(1,6) = 1./2. * (1. - h) * (1. + h) * (1.) ! dN(1,7) = 1./2. * (-1.) * (1. + g) * (1. + h) + + 1./2. * (1. - g) * (1.) * (1. + h) ! dN(1,8) = 1./2. * (1. - h) * (1. + h) * (-1.) ! ! ! ! dN_dh dN(2,1) = (-1./4.) * (1. - g) * (-1.) * (1. + g + h) + + (-1./4.) * (1. - g) * (1. - h) * (1.) ! dN(2,2) = (-1./4.) * (1. + g) * (-1.) * (1. - g + h) + + (-1./4.) * (1. + g) * (1. - h) * (1.) ! dN(2,3) = (-1./4.) * (1. + g) * (1.) * (1. - g - h) + + (-1./4.) * (1. + g) * (1. + h) * (-1.) dN(2,4) = (-1./4.) * (1. - g) * (1.) * (1. + g - h) + + (-1./4.) * (1. - g) * (1. + h) * (-1.) ! dN(2,5) = 1./2. * (1. - g) * (1. + g) * (-1.) ! dN(2,6) = 1./2. * (-1.) * (1. + h) * (1. + g) + + 1./2. * (1. - h) * (1.) * (1. + g) ! dN(2,7) = 1./2. * (1. - g) * (1. + g) * (1.) ! dN(2,8) = 1./2. * (-1.) * (1. + h) * (1. - g) + + 1./2. * (1. - h) * (1.) * (1. - g) ! ! ! ! ! ! return end subroutine CP8_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D4 subroutine C3D4_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP3 element N(1) = 1. - h - r - g ! N(2) = g ! N(3) = h ! N(4) = r ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = -1. ! dN(1,2) = 1. ! dN(1,3) = 0. ! dN(1,4) = 0. ! ! ! dN_dh dN(2,1) = -1. ! dN(2,2) = 0. ! dN(2,3) = 1. ! dN(2,4) = 0. ! ! ! dN_dr dN(3,1) = -1. ! dN(3,2) = 0. ! dN(3,3) = 0. ! dN(3,4) = 1. ! ! ! ! ! ! return end subroutine C3D4_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D6 subroutine C3D6_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D6 element N(1) = 1./2.*(1.-g-h)*(1.-r) ! N(2) = 1./2.*g*(1.-r) ! N(3) = 1./2.*h*(1.-r) ! N(4) = 1./2.*(1.-g-h)*(1.+r) ! N(5) = 1./2.*g*(1.+r) ! N(6) = 1./2.*h*(1.+r) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = 1./2.*(-1.)*(1.-r) ! dN(1,2) = 1./2.*(1.)*(1.-r) ! dN(1,3) = 0. ! dN(1,4) = 1./2.*(-1.)*(1.+r) ! dN(1,5) = 1./2.*(1.)*(1.+r) ! dN(1,6) = 0. ! ! ! ! dN_dh dN(2,1) = 1./2.*(-1.)*(1.-r) ! dN(2,2) = 0. ! dN(2,3) = 1./2.*(1.)*(1.-r) ! dN(2,4) = 1./2.*(-1.)*(1.+r) ! dN(2,5) = 0. ! dN(2,6) = 1./2.*(1.)*(1.+r) ! ! ! ! dN_dr dN(3,1) = 1./2.*(1.-g-h)*(-1.) ! dN(3,2) = 1./2.*g*(-1.) ! dN(3,3) = 1./2.*h*(-1.) ! dN(3,4) = 1./2.*(1.-g-h)*(1.) ! dN(3,5) = 1./2.*g*(1.) ! dN(3,6) = 1./2.*h*(1.) ! ! ! ! ! ! return end subroutine C3D6_N_dN ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D8 subroutine C3D8_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D8 element N(1) = 1./8.*(1.-g)*(1.-h)*(1.-r) ! N(2) = 1./8.*(1.+g)*(1.-h)*(1.-r) ! N(3) = 1./8.*(1.+g)*(1.+h)*(1.-r) ! N(4) = 1./8.*(1.-g)*(1.+h)*(1.-r) ! N(5) = 1./8.*(1.-g)*(1.-h)*(1.+r) ! N(6) = 1./8.*(1.+g)*(1.-h)*(1.+r) ! N(7) = 1./8.*(1.+g)*(1.+h)*(1.+r) ! N(8) = 1./8.*(1.-g)*(1.+h)*(1.+r) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D8 element ! dN_dg dN(1,1) = 1./8.*(-1.)*(1.-h)*(1.-r) ! dN(1,2) = 1./8.*(1.)*(1.-h)*(1.-r) ! dN(1,3) = 1./8.*(1.)*(1.+h)*(1.-r) ! dN(1,4) = 1./8.*(-1.)*(1.+h)*(1.-r) ! dN(1,5) = 1./8.*(-1.)*(1.-h)*(1.+r) ! dN(1,6) = 1./8.*(1.)*(1.-h)*(1.+r) ! dN(1,7) = 1./8.*(1.)*(1.+h)*(1.+r) ! dN(1,8) = 1./8.*(-1.)*(1.+h)*(1.+r) ! ! ! ! ! dN_dh dN(2,1) = 1./8.*(1.-g)*(-1.)*(1.-r) ! dN(2,2) = 1./8.*(1.+g)*(-1.)*(1.-r) ! dN(2,3) = 1./8.*(1.+g)*(1.)*(1.-r) ! dN(2,4) = 1./8.*(1.-g)*(1.)*(1.-r) ! dN(2,5) = 1./8.*(1.-g)*(-1.)*(1.+r) ! dN(2,6) = 1./8.*(1.+g)*(-1.)*(1.+r) ! dN(2,7) = 1./8.*(1.+g)*(1.)*(1.+r) ! dN(2,8) = 1./8.*(1.-g)*(1.)*(1.+r) ! ! ! dN_dr dN(3,1) = 1./8.*(1.-g)*(1.-h)*(-1.) ! dN(3,2) = 1./8.*(1.+g)*(1.-h)*(-1.) ! dN(3,3) = 1./8.*(1.+g)*(1.+h)*(-1.) ! dN(3,4) = 1./8.*(1.-g)*(1.+h)*(-1.) ! dN(3,5) = 1./8.*(1.-g)*(1.-h)*(1.) ! dN(3,6) = 1./8.*(1.+g)*(1.-h)*(1.) ! dN(3,7) = 1./8.*(1.+g)*(1.+h)*(1.) ! dN(3,8) = 1./8.*(1.-g)*(1.+h)*(1.) ! ! ! ! ! ! return end subroutine C3D8_N_dN ! ! ! ! ! ! ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D10 subroutine C3D10_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D10 element N(1) = (2.*(1.-g-h-r)-1.)*(1.-g-h-r) ! N(2) = (2.*g - 1.)*g ! N(3) = (2.*h - 1.)*h ! N(4) = (2.*r - 1.)*r ! N(5) = 4.*(1.-g-h-r)*g ! N(6) = 4.*g*h ! N(7) = 4.*(1.-g-h-r)*h ! N(8) = 4.*(1.-g-h-r)*r ! N(9) = 4.*g*r ! N(10) = 4.*h*r ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D10 element ! dN_dg dN(1,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(1,2) = (2.*(1.))*g + (2.*g - 1.)*(1.) ! dN(1,3) = 0. ! dN(1,4) = 0. ! dN(1,5) = 4.*(-1.)*g + 4.*(1.-g-h-r)*(1.) ! dN(1,6) = 4.*h ! dN(1,7) = 4.*(-1.)*h ! dN(1,8) = 4.*(-1.)*r ! dN(1,9) = 4.*(1.)*r ! dN(1,10) = 0. ! ! ! ! ! dN_dh dN(2,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(2,2) = 0. ! dN(2,3) = (2.*(1.))*h + (2.*h - 1.)*(1.) ! dN(2,4) = 0. ! dN(2,5) = 4.*(-1.)*g ! dN(2,6) = 4.*g*(1.) ! dN(2,7) = 4.*(-1.)*h + 4.*(1.-g-h-r)*(1.) ! dN(2,8) = 4.*(-1.)*r ! dN(2,9) = 0. ! dN(2,10) = 4.*(1.)*r ! ! ! ! dN_dr dN(3,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(3,2) = 0. ! dN(3,3) = 0. ! dN(3,4) = (2.*(1.))*r + (2.*r - 1.)*(1.) ! dN(3,5) = 4.*(-1.)*g ! dN(3,6) = 0. ! dN(3,7) = 4.*(-1.)*h ! dN(3,8) = 4.*(-1.)*r + 4.*(1.-g-h-r)*(1.) ! dN(3,9) = 4.*g*(1.) ! dN(3,10) = 4.*h*(1.) ! ! ! ! ! ! ! return end subroutine C3D10_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D15 subroutine C3D15_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D15 element N(1) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.-r)-(1.-g-h)*(1.-r**2)) ! N(2) = 1./2.*(g*(2.*g-1.)*(1.-r)-g*(1.-r**2)) ! N(3) = 1./2.*(h*(2.*h-1.)*(1.-r)-h*(1.-r**2)) ! N(4) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.+r)-(1.-g-h)*(1.-r**2)) ! N(5) = 1./2.*(g*(2.*g-1.)*(1.+r)-g*(1.-r**2)) ! N(6) = 1./2.*(h*(2.*h-1.)*(1.+r)-h*(1.-r**2)) ! N(7) = 2.*(1.-g-h)*g*(1.-r) ! N(8) = 2.*g*h*(1.-r) ! N(9) = 2.*h*(1.-g-h)*(1.-r) ! N(10) = 2.*(1.-g-h)*g*(1.+r) ! N(11) = 2.*g*h*(1.+r) ! N(12) = 2.*h*(1.-g-h)*(1.+r) ! N(13) = (1.-g-h)*(1.-r**2) ! N(14) = g*(1.-r**2) ! N(15) = h*(1.-r**2) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D15 element ! dN_dg dN(1,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2. ! dN(1,2) = ((r - 1.)*(r - 4.*g + 2.))/2. ! dN(1,3) = 0. ! dN(1,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2. ! dN(1,5) = ((r + 1.)*(4.*g + r - 2.))/2. ! dN(1,6) = 0. ! dN(1,7) = 2.*(r - 1.)*(2.*g + h - 1.) ! dN(1,8) = -2.*h*(r - 1.) ! dN(1,9) = 2.*h*(r - 1.) ! dN(1,10) = -2.*(r + 1.)*(2.*g + h - 1.) ! dN(1,11) = 2.*h*(r + 1.) ! dN(1,12) = -2.*h*(r + 1.) ! dN(1,13) = r**2 - 1. ! dN(1,14) = 1. - r**2 ! dN(1,15) = 0. ! ! ! ! dN_dh dN(2,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2. ! dN(2,2) = 0. ! dN(2,3) = ((r - 1.)*(r - 4.*h + 2.))/2. ! dN(2,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2. ! dN(2,5) = 0. ! dN(2,6) = ((r + 1.)*(4.*h + r - 2.))/2. ! dN(2,7) = 2.*g*(r - 1.) ! dN(2,8) = -2.*g*(r - 1.) ! dN(2,9) = 2.*(r - 1.)*(g + 2.*h - 1.) ! dN(2,10) = -2.*g*(r + 1.) ! dN(2,11) = 2.*g*(r + 1.) ! dN(2,12) = -2.*(r + 1.)*(g + 2.*h - 1.) ! dN(2,13) = r**2 - 1. ! dN(2,14) = 0. ! dN(2,15) = 1. - r**2 ! ! ! ! dN_dr dN(3,1) = -((g + h - 1.)*(2.*g + 2.*h + 2.*r - 1.))/2. ! dN(3,2) = (g*(2.*r - 2.*g + 1.))/2. ! dN(3,3) = (h*(2.*r - 2.*h + 1.))/2. ! dN(3,4) = ((g + h - 1.)*(2.*g + 2.*h - 2.*r - 1.))/2. ! dN(3,5) = (g*(2.*g + 2.*r - 1.))/2. ! dN(3,6) = (h*(2.*h + 2.*r - 1.))/2. ! dN(3,7) = g*(2.*g + 2.*h - 2.) ! dN(3,8) = -2.*g*h ! dN(3,9) = 2.*h*(g + h - 1.) ! dN(3,10) = -g*(2.*g + 2.*h - 2.) ! dN(3,11) = 2.*g*h ! dN(3,12) = -2.*h*(g + h - 1.) ! dN(3,13) = 2.*r*(g + h - 1.) ! dN(3,14) = -2.*g*r ! dN(3,15) = -2.*h*r ! ! ! ! ! ! ! ! return end subroutine C3D15_N_dN ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D20 subroutine C3D20_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D20 element N(1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.)*(g + h + r + 2.) ! N(2) = -(g/8. + 1./8.)*(h - 1.)*(r - 1.)*(h - g + r + 2.) ! N(3) = -(g/8. + 1./8.)*(h + 1.)*(r - 1.)*(g + h - r - 2.) ! N(4) = -(g/8. - 1./8.)*(h + 1.)*(r - 1.)*(g - h + r + 2.) ! N(5) = -(g/8. - 1./8.)*(h - 1.)*(r + 1.)*(g + h - r + 2.) ! N(6) = -(g/8. + 1./8.)*(h - 1.)*(r + 1.)*(g - h + r - 2.) ! N(7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.)*(g + h + r - 2.) ! N(8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.)*(g - h - r + 2.) ! N(9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r - 1.) ! N(10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.) ! N(11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.) ! N(12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r - 1.) ! N(13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.) ! N(14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.) ! N(17) = -(r/4. - 1./4.)*(g - 1.)*(h - 1.)*(r + 1.) ! N(18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.) ! N(19) = -(r/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.) ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D20 element ! dN_dg dN(1,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (h - 1.)*(r - 1.)*(g + h + r + 2.)/8. ! dN(1,2) = (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (h - 1.)*(r - 1.)*(h - g + r + 2.)/8. ! dN(1,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (h + 1.)*(r - 1.)*(g + h - r - 2.)/8. ! dN(1,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (h + 1.)*(r - 1.)*(g - h + r + 2.)/8. ! dN(1,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (h - 1.)*(r + 1.)*(g + h - r + 2.)/8. ! dN(1,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (h - 1.)*(r + 1.)*(g - h + r - 2.)/8. ! dN(1,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (h + 1.)*(r + 1.)*(g + h + r - 2.)/8. ! dN(1,8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.) + + (h + 1.)*(r + 1.)*(g - h - r + 2.)/8. ! dN(1,9) = - (g/4. - 1./4.)*(h - 1.)*(r - 1.) - + (g + 1.)*(h - 1.)*(r - 1.)/4. ! dN(1,10) = (h/4. - 1./4.)*(h + 1.)*(r - 1.) dN(1,11) = (g/4. - 1./4.)*(h + 1.)*(r - 1.) + + (g + 1.)*(h + 1.)*(r - 1.)/4. ! dN(1,12) = -(h/4. - 1./4.)*(h + 1.)*(r - 1.) ! dN(1,13) = (g/4. - 1./4.)*(h - 1.)*(r + 1.) + + (g + 1.)*(h - 1.)*(r + 1.)/4. ! dN(1,14) = -(h/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,15) = - (g/4. - 1./4.)*(h + 1.)*(r + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(1,16) = (h/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,17) = -(r/4. - 1./4.)*(h - 1.)*(r + 1.) ! dN(1,18) = (r/4. - 1./4.)*(h - 1.)*(r + 1.) ! dN(1,19) = -(r/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,20) = (r/4. - 1./4.)*(h + 1.)*(r + 1.) ! ! ! ! dN_dh dN(2,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (g/8. - 1./8.)*(r - 1.)*(g + h + r + 2.) ! dN(2,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (g/8. + 1./8.)*(r - 1.)*(h - g + r + 2.) ! dN(2,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (g/8. + 1./8.)*(r - 1.)*(g + h - r - 2.) ! dN(2,4) = (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (g/8. - 1./8.)*(r - 1.)*(g - h + r + 2.) ! dN(2,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (g/8. - 1./8.)*(r + 1.)*(g + h - r + 2.) ! dN(2,6) = (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (g/8. + 1./8.)*(r + 1.)*(g - h + r - 2.) ! dN(2,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (g/8. + 1./8.)*(r + 1.)*(g + h + r - 2.) ! dN(2,8) = (g/8. - 1./8.)*(r + 1.)*(g - h - r + 2.) - + (g/8. - 1./8.)*(h + 1.)*(r + 1.) ! dN(2,9) = -(g/4. - 1./4.)*(g + 1.)*(r - 1.) ! dN(2,10) = (h/4. - 1./4.)*(g + 1.)*(r - 1.) + + (g + 1.)*(h + 1.)*(r - 1.)/4. ! dN(2,11) = (g/4. - 1./4.)*(g + 1.)*(r - 1.) ! dN(2,12) = - (h/4. - 1./4.)*(g - 1.)*(r - 1.) - + (g - 1.)*(h + 1.)*(r - 1.)/4. ! dN(2,13) = (g/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,14) = - (h/4. - 1./4.)*(g + 1.)*(r + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(2,15) = -(g/4. - 1./4.)*(g + 1.)*(r + 1.) dN(2,16) = (h/4. - 1./4.)*(g - 1.)*(r + 1.) + + (g - 1.)*(h + 1.)*(r + 1.)/4. ! dN(2,17) = -(r/4. - 1./4.)*(g - 1.)*(r + 1.) ! dN(2,18) = (r/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,19) = -(r/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,20) = (r/4. - 1./4.)*(g - 1.)*(r + 1.) ! ! ! ! dN_dr dN(3,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (g/8. - 1./8.)*(h - 1.)*(g + h + r + 2.) ! dN(3,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (g/8. + 1./8.)*(h - 1.)*(h - g + r + 2.) ! dN(3,3) = (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (g/8. + 1./8.)*(h + 1.)*(g + h - r - 2.) ! dN(3,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (g/8. - 1./8.)*(h + 1.)*(g - h + r + 2.) ! dN(3,5) = (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (g/8. - 1./8.)*(h - 1.)*(g + h - r + 2.) ! dN(3,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (g/8. + 1./8.)*(h - 1.)*(g - h + r - 2.) ! dN(3,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (g/8. + 1./8.)*(h + 1.)*(g + h + r - 2.) ! dN(3,8) = (g/8. - 1./8.)*(h + 1.)*(g - h - r + 2.) - + (g/8. - 1./8.)*(h + 1.)*(r + 1.) ! dN(3,9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.) ! dN(3,10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.) ! dN(3,13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.) ! dN(3,14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.) ! dN(3,17) = - (r/4. - 1./4.)*(g - 1.)*(h - 1.) - + (g - 1.)*(h - 1.)*(r + 1.)/4. ! dN(3,18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.) + + (g + 1.)*(h - 1.)*(r + 1.)/4. ! dN(3,19) = - (r/4. - 1./4.)*(g + 1.)*(h + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(3,20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.) + + (g - 1.)*(h + 1.)*(r + 1.)/4. ! ! ! ! ! ! ! ! return end subroutine C3D20_N_dN ! ! ! ! ! ! ! ! ! ! end module meshprop ================================================ FILE: Example - Single crystal with material vox file/slip.f ================================================ ! Oct. 6th, 2022 ! Eralp Demir ! Slip laws ! 1. sinh law ! 2. double exponent law ! 3. power law module slip implicit none contains ! ! subroutine sinhslip(Schmid_0, + Schmid,SchmidxSchmid, + tau,X,tauc,rhofor, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot, + dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB use utilities, only : gmatvec6 use errors, only: error implicit none ! Schmid tensor at the intermediate config. (or undeformed) real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Forest dislocation density real(8), intent(in) :: rhofor(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! variables used within this subroutine integer :: is real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0, + DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav real(8) :: abstau, signtau ! ! ! gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! ! ! ! Obtain slip parameters ! constant alpha alpha0 = slipparam(1) ! constant beta beta0 = slipparam(2) ! rhom0 - mobile dislocation density rhom0 = slipparam(4) ! DeltaF - activation energy to overcome Pierls barrier DeltaF = slipparam(5) ! nu0 - attempt frequency nu0 = slipparam(6) ! gamma0 - multiplier for activation volume ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta gamma0 = slipparam(7)*1.d-12 ! AV0 - activation volume (if defined not=0) ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta AV0 = slipparam(8)*1.d-12 ! ! ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! psi - fraction of mobile dislocations ! If there is no irradiation if (irradiationmodel == 0) then ! psi = slipparam(3) ! elseif (irradiationmodel == 1) then ! psi = irradiationparam(3) ! elseif (irradiationmodel == 2) then ! psi = slipparam(3) ! endif ! ! ! Scale mobile dislocation density rhom = psi * rhom0 ! ! endif ! ! ! ! Pmat=0.; Lp = 0.; Dp = 0. ! Loop through slip systems do is = 1,nslip ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! ! Outer multipler "alpha" calculation: ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T) ! ! alpha is defined as a constant else ! alpha = alpha0 ! endif ! ! ! ! Activation volume calculation: ! ! if AV is defined parametrically if (AV0 == 0.) then ! ! if (useaveragestatevars == 0) then ! ! average spacing based on forest densities lambda = 1./sqrt(rhofor(is)) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! elseif (useaveragestatevars == 1) then ! ! average forest density rhoav = sum(rhofor)/nslip ! ! average spacing lambda = 1./sqrt(rhoav) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! endif ! ! AV is defined as a constant else ! ! AV = AV0 * burgerv(is)**3. ! ! ! end if ! ! ! THESE CHECKS SHALL BE PLACED TO INITIALIZATION! !! Check for zero activation volume ! if (AV == 0.) then ! call error(8) ! end if ! ! ! ! ! Inner multiplier "beta" calculation: ! ! if beta is defined parametrically if (beta0 == 0.) then ! ! ! beta = AV/KB/T ! ! ! ! beta is defined as a constant else ! beta = beta0 ! ! endif ! ! ! ! c/a ratio correction for HCP if(iphase == 3) then ! Correction by C. Hardie - 26.05.2022 ! This correction needs to be done if activation volume ! IS NOT DEFINED PARAMETRICALLY, because it is already taken into account then! if (AV0 /= 0.0) then ! Corrected by A. Pechero - 23.02.2023 ! same burgers magnitude for 1st-12th slip systems ! changes only if slip system is greater than 12th if (is > 12) then alpha = caratio*caratio*alpha beta = caratio*caratio*beta endif end if end if ! ! This is critical threshold if (abstau >= tauc(is)) then ! ! slip rate gammadot(is) = alpha* + sinh(beta*(abstau-tauc(is)))*signtau ! ! dgammadot_dtau(is) = alpha*beta* + cosh(beta*(abstau-tauc(is))) ! ! dgammadot_dtauc(is) = -alpha*beta* + cosh(beta*(abstau-tauc(is)))*signtau ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! ! Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! Update plastic velocity gradient Dp = Dp + gammadot(is)*Schmid(is,:,:) ! ! ! end if ! end do ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! end subroutine sinhslip ! ! ! ! ! ! ! ! ! ! ! Zhengxuan Fan & Serge Kruch (2020) A comparison of different crystal ! plasticity finite-element models on the simulation of nickel alloys, ! Materials at High Temperatures, 37:5, 328-339, DOI: 10.1080/09603409.2020.1801951 ! subroutine doubleexpslip(Schmid_0, + Schmid,SchmidxSchmid, + tau,X,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot,dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! Schmid tensor at the intermediate config. (or undeformed) real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! variables used within this subroutine integer :: is real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, ratio real(8) :: abstau, signtau ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! Inner exponent (p) p = slipparam(2) ! Outer exponent (q) q = slipparam(3) ! Activation energy for octahedral slip (J) Foct = slipparam(4) ! Activation energy for cubic slip (J) Fcub = slipparam(5) ! ! ! Pmat = 0.; Lp = 0.; Dp = 0. gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! Contribution to Lp of all slip systems do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! RSS/CRSS ratio ratio=abstau/tauc(is) ! ! Avoid negative values before elevating to power q if (ratio >= 1.0) then ! gammadot(is) = signtau*gammadot0 !*exp(-dF/(kB*CurrentTemperature)) ! ! Standard case else ! ! Activation energy DeltaF=Foct ! ! Cubic slip case with a different activation energy ! If cubic slip systems are defined if (cubicslip == 1) then ! For cubic slip systems: 13-..-18 if (is > 12) then DeltaF=Fcub end if endif ! ! ! Strain rate due to thermally activated glide (rate dependent plasticity) gammadot(is) = signtau*gammadot0* + exp(-(DeltaF/KB/T)*(1.-ratio**p)**q) ! ! ! endif ! ! ! ! ! Calculate derivative d ( gammadot(i) ) / d ( tau(i) ) dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q + *(1.- ratio**p)**(q-1.)*p/tauc(is)*ratio**(p-1.) ! ! ! ! Calculate derivative d ( gammadot(i) ) / d ( tauc(i) ) dgammadot_dtauc(is) = -abs(gammadot(is))*DeltaF/KB/T*q + *(1.- ratio**p)**(q-1.)*p/tauc(is)*ratio**p*signtau ! ! ! ! Contribution to Jacobian Pmat = Pmat + + dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:) ! ! Plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! Update plastic velocity gradient Dp = Dp + gammadot(is)*Schmid(is,:,:) ! end do ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! end subroutine doubleexpslip ! ! ! ! ! ! ! ! ! ! ! ! subroutine powerslip(Schmid_0, + Schmid,SchmidxSchmid, + tau,X,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot,dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use utilities, only : gmatvec6 implicit none ! Schmid tensor at the intermediate config. (or undeformed) real(8), intent(in) :: Schmid_0(nslip,3,3) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! Variables used within this subroutine integer :: is, i, j real(8) :: gammadot0, power_n, constant_n, slope_n, ratio real(8) :: abstau, signtau ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! rate sensitivity exponent- constant (n) constant_n = slipparam(2) ! temperature dependence of exponent (dn/dT) slope_n = slipparam(3) ! ! ! ! ! Temperature dependence of rate sensitivity exponent power_n = slope_n * T + constant_n ! ! Pmat = 0.; Lp = 0.; Dp = 0. gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! ratio = abstau / tauc(is) ! ! gammadot(is) = gammadot0*ratio**power_n*signtau ! ! ! dgammadot_dtau(is) = gammadot0*power_n + /tauc(is)*ratio**(power_n-1.0) ! ! dgammadot_dtauc(is) = -gammadot0*power_n + /tauc(is)*ratio**(power_n)*signtau ! ! Pmat = Pmat + + dt*dgammadot_dtau(is)*SchmidxSchmid(is,:,:) ! ! Update plastic velocity gradient Lp = Lp + gammadot(is)*Schmid_0(is,:,:) ! ! Update plastic velocity gradient Dp = Dp + gammadot(is)*Schmid(is,:,:) ! ! end do ! ! Find plastic flow direction Dp = (Dp + transpose(Dp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! ! end subroutine powerslip ! ! ! ! ! ! ! ! end module slip ================================================ FILE: Example - Single crystal with material vox file/slipreverse.f ================================================ ! Oct. 6th, 2023 ! Chris Hardie ! Reverse Slip laws ! 1. sinh law ! 2. double exponent law ! 3. power law module slipreverse implicit none contains ! ! ! ! subroutine doubleexpslipreverse( + Schmid,SchmidxSchmid, + tau, X, abstau,signtau,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Pmat,absgammadot,gammadot, + dtau_dgammadot,dgammadot_dtau) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Absolute value of slip real(8), intent(in) :: absgammadot(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! slip rates real(8), intent(in) :: gammadot(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! Value of RSS real(8), intent(inout) :: tau(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! absolute value of RSS real(8), intent(out) :: abstau(nslip) ! ! variables used within this subroutine integer :: is real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, xx, u ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! Inner exponent (p) p = slipparam(2) ! Outer exponent (q) q = slipparam(3) ! Activation energy for octahedral slip (J) Foct = slipparam(4) ! Activation energy for cubic slip (J) Fcub = slipparam(5) ! ! ! Pmat = 0.; Lp = 0. ! ! Contribution to Lp of all slip systems do is=1,nslip ! ! RSS/CRSS ratio xx=abstau(is)/tauc(is) ! ! Activation energy DeltaF=Foct ! ! Cubic slip case with a different activation energy ! If cubic slip systems are defined if (cubicslip == 1) then ! For cubic slip systems: 13-..-18 if (is > 12) then DeltaF=Fcub end if endif ! ! u=-log(absgammadot(is)/gammadot0)*KB*T/DeltaF ! abstau(is)=max(tauc(is)*(1-u**(1/q))**(1/p), + tauc(is)) ! tau(is)=abstau(is)*signtau(is) ! ! if (absgammadot(is)>0.0) then dtau_dgammadot(is,is) = (KB*T*tauc(is)/ + (absgammadot(is)*DeltaF*q*p))* + (1-u**(1/q))**((1-p)/p)*u**((1-q)/q) else dtau_dgammadot(is,is) = 0.0 end if ! ! ! Calculate derivative d ( gammadot(i) ) / d ( tau(i) ) dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q + *(1.- xx**p)**(q-1.)*p/tauc(is)*xx**(p-1.) ! ! ! ! Contribution to Jacobian Pmat = Pmat + + dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:) ! ! Plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! end do ! ! return end subroutine doubleexpslipreverse ! ! ! ! subroutine powerslipreverse( + Schmid,SchmidxSchmid, + tau, X, abstau,signtau,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,absgammadot, gammadot, + dtau_dgammadot, + dgammadot_dtau, Pmat) ! ! use userinputs, only : useaveragestatevars, + maxnparam, maxnslip use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(inout) :: tau(nslip) ! absolute value of RSS real(8), intent(inout) :: abstau(nslip) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! crss at the current time step real(8), intent(in) :: X(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(inout) :: gammadot(nslip) ! absolute slip rates real(8), intent(inout) :: absgammadot(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! variables used within this subroutine real(8) :: gammadot0, constant_n, slope_n, power_n ! absolute ratio of RSS/CRSS real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max integer :: is ! dtau_dgammadot = 0. dgammadot_dtau = 0. ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! rate sensitivity exponent- constant (n) constant_n = slipparam(2) ! temperature dependence of exponent (dn/dT) slope_n = slipparam(3) ! ! ! ! ! Temperature dependence of rate sensitivity exponent power_n = slope_n * T + constant_n ! ! xtau=abstau/tauc xtau_max=maxval(xtau) xtau_norm=xtau/xtau_max ! Lp = 0. ! Loop through slip systems do is = 1,nslip ! ! This is critical threshold if (((abstau(is) >= tauc(is)).OR. + (absgammadot(is) .GT. 1.0e-6))) then ! ! shear stress as a function of slip rate ! dgammadot_dtau(is) = + (power_n*gammadot0/tauc(is))*xtau(is)**(power_n-1) ! abstau(is)= + max(tauc(is)*(absgammadot(is)/gammadot0)**(1/power_n),tauc(is)) ! tau(is)=abstau(is)*signtau(is) ! ! if (absgammadot(is)>0.0) then dtau_dgammadot(is,is) = + (tauc(is)/power_n*gammadot0)* + (absgammadot(is)/gammadot0)**((1-power_n)/power_n) else dtau_dgammadot(is,is) = 0.0 end if ! ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! else ! ! tau(is) = tauc(is)*signtau(is) ! absgammadot(is)=0.0 ! gammadot(is)=0.0 ! dtau_dgammadot(is,is) = 0. ! end if ! end do ! ! return end subroutine powerslipreverse ! ! ! ! ! ! ! subroutine sinhslipreverse( + Schmid, SchmidxSchmid, signtau, + abstau,tau, X,tauc,rhofor, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,absgammadot,gammadot, + dtau_dgammadot, dgammadot_dtau, Pmat) ! use userinputs, only : useaveragestatevars, + maxnparam, maxnslip use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(inout) :: tau(nslip) ! absolute value of RSS real(8), intent(inout) :: abstau(nslip) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Forest dislocation density real(8), intent(in) :: rhofor(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! crss at the current time step real(8), intent(in) :: X(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(inout) :: gammadot(nslip) ! absolute slip rates real(8), intent(inout) :: absgammadot(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! Derivative of slip rates wrto rss real(8) :: dgammadot_dtau(nslip) ! variables used within this subroutine ! absolute ratio of RSS/CRSS real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max integer :: is real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0, + DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav ! dtau_dgammadot = 0. dgammadot_dtau = 0. ! ! Obtain slip parameters ! constant alpha alpha0 = slipparam(1) ! constant beta beta0 = slipparam(2) ! rhom0 - mobile dislocation density rhom0 = slipparam(4) ! DeltaF - activation energy to overcome Pierls barrier DeltaF = slipparam(5) ! nu0 - attempt frequency nu0 = slipparam(6) ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) ! Unit conversion factor for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta gamma0 = slipparam(7)*1.d-12 ! AV0 - activation volume (if defined not=0) ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta AV0 = slipparam(8)*1.d-12 ! ! ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! psi - fraction of mobile dislocations ! If there is no irradiation if (irradiationmodel == 0) then ! psi = slipparam(3) ! elseif (irradiationmodel == 1) then ! psi = irradiationparam(3) elseif (irradiationmodel == 2) then ! psi = slipparam(3) ! endif ! ! ! Scale mobile dislocation density rhom = psi * rhom0 ! ! endif ! ! ! Pmat = 0. Lp = 0. ! Loop through slip systems do is = 1,nslip ! ! ! alpha calculation ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T) ! ! alpha is defined as a constant else ! alpha = alpha0 ! endif ! ! ! ! Activation volume calculation: ! ! if AV is defined parametrically if (AV0 == 0.) then ! ! if (useaveragestatevars == 0) then ! ! average spacing based on forest densities lambda = 1./sqrt(rhofor(is)) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! elseif (useaveragestatevars == 1) then ! ! average forest density rhoav = sum(rhofor)/nslip ! ! average spacing lambda = 1./sqrt(rhoav) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! endif ! ! AV is defined as a constant else ! ! AV = AV0 * burgerv(is)**3. ! ! ! end if ! ! ! ! ! beta calculation ! ! if beta is defined parametrically if (beta0 == 0.) then ! ! beta = AV/KB/T ! ! beta is defined as a constant else ! beta = beta0 ! ! endif ! ! ! ! ! c/a ratio correction for HCP if(iphase == 3) then ! same burgers magnitude for first 1-6 and 25-30 ! change only 7-24 if (is > 12) then alpha = caratio*caratio*alpha beta = caratio*caratio*beta endif end if ! xtau=abstau/tauc xtau_max=maxval(xtau) xtau_norm=xtau/xtau_max ! ! This is critical threshold if (((abstau(is) >= tauc(is)) + .AND. (xtau_norm(is) .GT. 0.0)) + .OR. (absgammadot(is) .GT. 1.0e-6)) then ! ! shear stress as a function of slip rate ! dgammadot_dtau(is) = alpha*beta* + cosh(beta*(abstau(is)-tauc(is))) abstau(is)=tauc(is)+ + (1/beta)*asinh(absgammadot(is)/alpha) ! tau(is)=abstau(is)*signtau(is) ! ! dtau_dgammadot(is,is) = 1/(alpha*beta* + sqrt(absgammadot(is)**2*alpha**-2+1)) ! ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! else ! ! tau(is) = tauc(is)*signtau(is) ! absgammadot(is)=0.0 ! gammadot(is)=0.0 ! dtau_dgammadot(is,is) = 0. ! end if end do ! ! return end subroutine sinhslipreverse ! ! ! ! end module slipreverse ================================================ FILE: Example - Single crystal with material vox file/straingradients.f ================================================ ! Jan. 1st, 2023 ! Eralp Demir ! module straingradients implicit none ! contains ! ! ! ! ! ! GND model-1 ! GND calculation using curl of (Fp) together with L2 approximation ! Cumulative (total) calculation of GNDs ! Shutting down non-active slip systems followed by singular value decompostion ! Proposed by Chris Hardie subroutine gndmodel1 use userinputs, only : maxnslip, + gndhomogenization, gndthreshold use globalvariables, only : numel, numdim, numpt, nnpel, + materialid, numslip_all, numscrew_all, screw_all, + slip2screw_all, burgerv_all, dirc_0_all, trac_0_all, gradip2ip, + eijk, I3, statev_curvature, statev_Lambda, statev_gammasum, + statev_Fp, statev_gmatinv_0, statev_gnd, statev_gnd_t use utilities, only: matvec9 implicit none ! Local variables integer matid, nslip, nscrew ! Some variables are allotable since material type can vary hence ! the NUMBER OF SLIP SYSTEMS can alter within the mesh real(8) :: burgerv(maxnslip) real(8) :: gammasum(maxnslip) integer :: screw(maxnslip) real(8) :: slip2screw(maxnslip,maxnslip) real(8) :: dirc_0(maxnslip,3) real(8) :: trac_0(maxnslip,3) ! real(8) :: dirs(maxnslip,3) real(8) :: tras(maxnslip*2,3) real(8) :: Bmat(maxnslip*2,9) real(8) :: rhoGND(maxnslip*2) real(8) :: drhoGND(maxnslip*2) ! real(8) :: grad_invN(3,numpt), grad(3,3,3) real(8) :: Lambda(3,3), sum, Lambda_vec(9) real(8) :: kappa(3,3), kappa_vec(9), trace ! real(8) :: Fp_ip(numpt,3,3) real(8) :: gmatinv(3,3) ! integer :: i, j, k, l integer :: ie, ip, is ! ! ! ! ! Loop through the elements do ie=1,numel ! ! Reset arrays burgerv=0.; screw=0 dirc_0=0.; trac_0=0. dirs=0.; tras=0. slip2screw=0. ! ! ! ! ! Assume the same material for al the Gaussian points of an element matid = materialid(ie,1) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! Screw systems screw(1:nscrew) = screw_all(matid,1:nscrew) ! ! Slip to screw mapping slip2screw(1:nscrew,1:nslip) = + slip2screw_all(matid,1:nscrew,1:nslip) ! ! Burgers vector burgerv(1:nslip) = burgerv_all(matid,1:nslip) ! ! undeformed slip direction dirc_0(1:nslip,1:3) = dirc_0_all(matid,1:nslip,1:3) ! ! undeformed line direction trac_0(1:nslip,1:3) = trac_0_all(matid,1:nslip,1:3) ! ! ! Store Fp for each IP ! Plastic part of the deformation gradient Fp_ip = statev_Fp(ie,1:numpt,1:3,1:3) ! ! ! Calculate the gradient of Fp ! Calculate the gradients using gradient operator do ip = 1, numpt ! ! ! Reset arrays Bmat=0.; rhoGND=0.; gammasum=0. ! ! Crystal to sample transformation matrix gmatinv = statev_gmatinv_0(ie,ip,:,:) ! ! ! Slip rate per slip system gammasum(1:nslip) = statev_gammasum(ie,ip,1:nslip) ! ! do is = 1, nslip ! Transform slip directions to sample reference dirs(is,:) = matmul(gmatinv, dirc_0(is,:)) ! ! Transform line directions to sample reference tras(is,:) = matmul(gmatinv, trac_0(is,:)) ! end do ! ! ! Calculate Bmatrix - using singular value decomposition ! Arsenlis, A. and Parks, D.M., 1999. Acta materialia, 47(5), pp.1597-1611. call calculateBmatPINV(nslip,nscrew, + screw(1:nscrew), slip2screw(1:nscrew,1:nslip), + dirs(1:nslip,:),tras(1:nslip,:),burgerv(1:nslip), + gammasum(1:nslip), Bmat(1:nslip+nscrew,1:9)) ! ! ! Use gradients per integration point if (gndhomogenization == 0) then ! grad_invN = gradip2ip(ie,ip,:,:) ! ! Use the gradient at the element center else ! grad_invN = gradip2ip(ie,numpt+1,:,:) ! end if ! ! ! ! ! grad(k,i,j) = Fp(i,j,k) do k = 1,3 do j = 1,3 do i = 1,3 grad(k,i,j) = + dot_product(grad_invN(k,:),Fp_ip(:,i,j)) end do end do end do ! ! ! calculate curl ! NOTE THE NEGATIVE SIGN AND TRANSPOSE ARE MISSING IN THE ORIGINAL REFERENCE ! lambda(l,k) = -eijk(i,j,k) * Fp(l,j,i) ! index "i" refers to the gradient direction do k = 1,3 do l = 1,3 sum = 0. do i = 1, 3 do j = 1, 3 sum = sum - eijk(i,j,k)*grad(i,l,j) !! earlier version (no "-" sign) ! sum = sum + eijk(i,j,k)*grad(i,l,j) end do end do Lambda(l,k) = sum end do end do ! ! Vectorize the incompatibility call matvec9(Lambda,Lambda_vec) ! ! ! Assign the Incompatibility statev_Lambda(ie,ip,:) = Lambda_vec ! ! ! Trace trace = Lambda(1,1) + Lambda(2,2) + Lambda(3,3) ! ! Calculate curvature (negative transpose + trace term) kappa = -transpose(Lambda) + I3 * trace / 2. ! ! Convert curvature to vector call matvec9(kappa,kappa_vec) ! ! ! Assign curvature statev_curvature(ie,ip,1:9) = kappa_vec(1:9) ! ! ! ! ! Reset arrays rhoGND=0.; drhoGND=0. ! ! Compute the dislocation densities using L2 minimization rhoGND(1:nslip+nscrew) = + matmul(Bmat(1:nslip+nscrew,1:9),Lambda_vec) ! ! ! Calculate the increment of GNDs drhoGND(1:nslip+nscrew) = + rhoGND(1:nslip+nscrew) - statev_gnd_t(ie,ip,1:nslip+nscrew) ! ! ! Check for a threshold do is = 1, nslip+nscrew if (abs(drhoGND(is))nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b ! end do ! ! L2 solution by KKT condition ! Assign zero initially KKTmat = 0. ! Assign the identity part do i = 1, nslip+nscrew KKTmat(i,i)=2. end do ! ! Assign A^T - upper right part KKTmat(1:nslip+nscrew,nslip+nscrew+1:nslip+nscrew+9) = + transpose(Amat) ! ! Assign A - lower left part KKTmat(nslip+nscrew+1:nslip+nscrew+9,1:nslip+nscrew) = + Amat ! ! Take the inverse call nolapinverse(KKTmat,BmatKKT,nslip+nscrew+9) ! ! Set to zero if not invertible if(any(BmatKKT /= BmatKKT)) then ! Set the outputs to zero initially BmatKKT = 0. ! error message in .dat file call error(10) end if ! ! ! ! ! ! return end subroutine calculateBmatKKT ! ! ! ! ! Calculate Bmatrix using singular value decomposition subroutine calculateBmat(nslip,nscrew,screw,dirs,tras,burgerv, + Bmat) use utilities, only : nolapinverse use errors, only: error implicit none ! number of slip systems integer, intent(in) :: nslip ! number of screw systems integer, intent(in) :: nscrew ! screw systems integer, dimension(nscrew), intent(in) :: screw ! slip direction in sample reference real(8), dimension(nslip,3), intent(in) :: dirs ! transverse (to slip) direction in sample reference real(8), dimension(nslip,3), intent(in) :: tras ! Burgers vector real(8), dimension(nslip), intent(in) :: burgerv ! Rank Deficit B-matrix real(8), dimension(nslip+nscrew,9), intent(out) :: Bmat ! ! Local variables used within this subroutine ! Note A^T*A is rank deficit real(8) :: Amat(9,nslip+nscrew) real(8) :: AmatAmatT(9,9) real(8) :: invAmatAmatT(9,9) real(8) :: s(3), l(3), b integer :: i, j, is ! ! Construct Nye's tensor Amat=0. ! Loop through dislocation configurations do i = 1, nslip+nscrew ! ! ! Slip direction ! For screws if (i>nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b ! end do ! ! ! ! ! ! Other solution (former method) ! ----------------------------------------------- ! This is preserved to check its validity ! Right pseudo inverse is used ! This is exactly the same as the inversion by singular value decomposition ! Compute the L2 coefficient AmatAmatT = matmul(Amat,transpose(Amat)) ! ! Take the inverse call nolapinverse(AmatAmatT,invAmatAmatT,9) ! ! ! Compute Bmat Bmat = matmul(transpose(Amat),invAmatAmatT) ! ! Set to zero if not invertible if(any(Bmat /= Bmat)) then ! Set the outputs to zero initially Bmat = 0. ! error message in .dat file call error(10) end if ! ! ! return end subroutine calculateBmat ! ! ! Calculate Bmatrix using singular value decomposition subroutine calculateBmatPINV(nslip,nscrew,screw,slip2screw, + dirs,tras,burgerv,gammadot,BmatPINV) use userinputs, only: slipthreshold use utilities, only: svdgeninverse use errors, only: error implicit none ! number of slip systems integer, intent(in) :: nslip ! number of screw systems integer, intent(in) :: nscrew ! screw systems integer, dimension(nscrew), intent(in) :: screw ! slip to screw mapping real(8), dimension(nscrew,nslip), intent(in) :: slip2screw ! slip direction in sample reference real(8), dimension(nslip,3), intent(in) :: dirs ! transverse (to slip) direction in sample reference real(8), dimension(nslip,3), intent(in) :: tras ! Burgers vector real(8), dimension(nslip), intent(in) :: burgerv ! Cumulative slip per slip system real(8), dimension(nslip), intent(in) :: gammadot ! Rank Deficit B-matrix real(8), dimension(nslip+nscrew,9), intent(out) :: BmatPINV ! ! Local variables used within this subroutine ! Note A^T*A is rank deficit real(8) :: Amat(9,nslip+nscrew) real(8) :: gdot_screw(nscrew) ! real(8) :: AmatTAmat(nslip+nscrew,nslip+nscrew) ! real(8) :: invAmatTAmat(nslip+nscrew,nslip+nscrew) real(8) :: s(3), l(3), b integer :: i, j, is, err ! ! Construct Nye's tensor Amat=0. ! Loop through dislocation configurations do i = 1, nslip+nscrew ! ! ! Slip direction ! For screws if (i>nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b end do ! ! ! Sum slip on each system sharing common screw types gdot_screw= matmul(slip2screw,gammadot) ! ! ! Shut down the slip systems ! that have a cumulative slip ! less than 10^-10 ! For edge type of dislocations do is = 1, nslip ! if (abs(gammadot(is)) cubicslipystem flag ! material-08: zirconium / hcp / phase-3 ! material-09: berylium / hcp / phase-3 (not ready yet) ! material-10: alpha-uranium / alphauranium / phase-4 ! material-11: copper / UKAEA / Vikram Phalke ! material-12: CuCrZr / UKAEA / Vikram Phalke ! ! ! ! ********************************************** ! ** MATERIALPARAMETERS sets the material ** ! ** constants for elasticity and plasticity ** ! ********************************************** subroutine materialparam(imat,temperature, + iphase,nslip,nscrew,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,burgerv, + tauc_0,rho_0,rhofor_0,rhosub_0, + slipmodel,slipparam,creepmodel,creepparam, + hardeningmodel,hardeningparam, + irradiationmodel,irradiationparam, + sintmat1,sintmat2,hintmat1,hintmat2, + backstressparam) use errors, only : error use userinputs, only : maxnslip, maxnparam implicit none ! ! material id integer, intent(in) :: imat ! ! ! current temperature in Kelvins real(8), intent(in) :: temperature ! ! phase id ! 1: BCC, 2: FCC, 3: HCP, 4: alpha-uranium integer, intent(out) :: iphase ! ! number of slip systems integer, intent(out) :: nslip ! ! number of screw systems integer, intent(out) :: nscrew ! ! c/a ratio for hcp crystals real(8), intent(out) :: caratio ! ! cubic slip for fcc superalloys integer, intent(out) :: cubicslip ! ! elastic stiffness matrix in the crystal reference frame real(8), intent(out) :: Cc(6,6) ! ! shear modulus for Taylor's dislocation law real(8), intent(out) :: G12 ! ! Poisson's ratio real(8), intent(out) :: v12 ! ! geometric factor for obstacle strength real(8), intent(out) :: gf ! ! thermal eigenstrain to model thermal expansion real(8), intent(out) :: alphamat(3,3) ! ! burgers vectors real(8), intent(out) :: burgerv(maxnslip) ! ! critical resolved shear stress of slip systems real(8), intent(out) :: tauc_0(maxnslip) ! ! initial ssd dislocation density real(8), intent(out) :: rho_0(maxnslip) ! ! initial forest dislocation density real(8), intent(out) :: rhofor_0 ! ! initial substructure dislocation density real(8), intent(out) :: rhosub_0 ! ! Slip model identifier ! 0: no slip (if only creep is considered) ! 1: sinh law ! 2: double exponent law ! 3: power law integer, intent(out) :: slipmodel ! ! Slip parameters ! Array size adjustable real(8), intent(out) :: slipparam(maxnparam) ! For sinh law (slipmodel=1) ! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined, ! the alpha calculation will be ignored ! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined, ! the beta calculation will be ignored ! 3: psi / fraction of mobile dislocations / [-] / alpha calculation ! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation ! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation ! 6: nu0 / attempt frequency / [1/s] / alpha calculation ! 7: gamma0 / reference slip strain / [-] / beta calculation ! ! For double exponent law (slipmodel=2) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: p / inner exponent / [-] ! 3: q / outer exponent / [-] ! 4: DeltaFoct / activation energy for octahedral slip / [J/mol] ! 5: DeltaFcub / activation energy for cubic slip / [J/mol] ! ! For power law (slipmodel=3) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: n / power exponent / [-] ! 3: dn/dT / temperature dependence of slip rate sensitivity / [1/K] ! ! ! Creep model identifier ! 0: no creep ! 1: exponential creep law ! Default value is set to 0 integer, intent(out) :: creepmodel ! Creep parameters ! Array size adjustable real(8), intent(out) :: creepparam(maxnparam) ! ! Hardening identifier ! 0: Hardening is off (tauc constant) ! 1: Voce type hardening ! 2: Linear hardening ! 3: Kocks-Mecking hardening ! 4: Kocks-Mecking hardening with substructure ! Default value is set to 0 integer, intent(out) :: hardeningmodel ! Hardening parameters ! Array size adjustable real(8), intent(out) :: hardeningparam(maxnparam) ! ! Irradiation identifier ! 0: Irradiaion is off ! 1: Irradiation is on ! Default value is set to 0 integer, intent(out) :: irradiationmodel ! Irradiation model parameters ! Array size adjustable real(8), intent(out) :: irradiationparam(maxnparam) ! 1: tau_s0: initial solute strength ! 2: gamma_s: saturation value of the cumulative slip ! 3: psi / fraction of mobile density for irradiated material for sinh law ! ! Interaction matrices ! Strength interaction between dislocations real(8), intent(out) :: sintmat1(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(out) :: sintmat2(maxnslip,maxnslip) ! Latent hardening real(8), intent(out) :: hintmat1(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8), intent(out) :: hintmat2(maxnslip,maxnslip) ! ! Slip parameters ! Array size adjustable real(8), intent(out) :: backstressparam(maxnparam) ! ! burgers vector scalars real(8) :: burger1, burger2 ! ! elastic constants scalars real(8) :: e1, e2, e3, g13, v13 real(8) :: g23, v23, v21, v31, v32 ! ! critical resolved shear stress real(8) :: xtauc1, xtauc2, xtauc3, xtauc4, xtauc5 ! ! thermal expansion coefficients real(8) :: alpha1, alpha2, alpha3 ! ! temperature in celsius real(8) :: tcelsius ! real(8) :: C11, C12, C44, cst ! ! local variable for identity martrix real(8) :: kdelta(maxnslip,maxnslip), q1, q2 ! integer :: i, j, k, is, js ! ! ! ! Set potentially unassigned parameters to zero ! Slip parameters slipparam = 0. ! Creep parameters creepparam = 0. ! Hardening parameters hardeningparam = 0. ! Irradiation parameters irradiationparam = 0. ! Backstress parameters backstressparam = 0. ! ! ! Interaction matrices ! Initially set all to zero sintmat1=0. sintmat2=0. hintmat1=0. hintmat2=0. ! ! ! ! Temperature in Celcius tcelsius = temperature - 273.15 ! ! ! ! ! ! ! ! ! ! select crystal type select case(imat) ! ! custom material - bcc (i.e. ferrite) ! no temperature dependence case(1) ! ! Slip model ! sinh law slipmodel = 1 ! ! ! Phase id iphase = 1 ! ! This can be 12 or 24 nslip = 12 ! ! ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0. ! psi - fraction of mobile dislocations slipparam(3) = 0.727d-2 ! rhom0 - mobile dislocation density slipparam(4) = 0.035 ! DeltaF - activation energy slipparam(5) = 4.646312d-20 ! nu0 - attempt frequency slipparam(6) = 1.0d+11 ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) slipparam(7) = 0. ! Activation volume (factor of Burgers vector^3) slipparam(8) = 1. ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! Screw systems nscrew = 4 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 60. ! xtauc1 = 45. ! ! ! Burgers vectors [micrometers] burger1 = 2.48d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Example elastic modulus values ! ********************************************************** ! ! steel-ferrum ! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982 ! C11=230.1d3 ! C12=134.6d3 ! C44=116.6d3 ! ! steel-ferrite ! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies ! of the martensite lattice and mechanism of diffusionless transformation" ! page 1087 ! C11=233.5d3 ! C12=135.5d3 ! C44=118.0d3 ! ! ********************************************************** ! ! Cubic elastic constants [MPa] ! Value used for ferrite grains C11=233.5d3 C12=135.5d3 C44=118.0d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! custom material - fcc (i.e. copper) ! no temperature dependence case(2) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 3 ! ! copper ! Slip model parameters slipparam(1) = 1.0d-3 ! rate sensitivity exponent ! slipparam(2) = 83.333 slipparam(2) = 20. ! !! Inverse slip test parameters !! Slip model parameters ! slipparam(1) = 1.0d-9 !! rate sensitivity exponent ! slipparam(2) = 13. ! !! steel !! Slip model parameters ! slipparam(1) = 1.0d-3 !! rate sensitivity exponent ! slipparam(2) = 7.143 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! !! steel ! xtauc1 = 32. ! ! Copper xtauc1 = 16. ! !! Inverse slip test parameter ! xtauc1 = 32. ! ! Burgers vectors [micrometers] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! Example elastic modulus values ! ********************************************************** ! ! copper ! "Texture and Anisotropy", ! Cambridge University Press, 1998, page 300 ! C11=168.0d3 ! C12=121.4d3 ! C44=75.4d3 ! ! "The Mechanics of Crystals and Textured Polycrystals", ! Oxford University Press, 1993, page 16 ! C11=166.1d3 ! C12=199.0d3 wrong! correct value: 119.0d3 ! C44=75.6d3 ! ! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38 ! C11=168.3d3 ! C12=122.1d3 ! C44=75.7d3 ! ! aluminum ! "The Mechanics of Crystals and Textured Polycrystals", ! Oxford University Press, 1993, page 16 ! C11=107.3d3 ! C12=60.9d3 ! C44=28.3d3 ! ! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38 ! C11=106.75d3 ! C12=60.41d3 ! C44=28.34d3 ! ! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982 ! C11=106.43d3 ! C12=60.35d3 ! C44=28.21d3 ! ! steel-austenite ! S. Turteltaub and A.S.J. Suiker, "Transformation-induced plasticit in ferrous alloys", 2005 ! page 1765, Eq. (37) ! C11=268.5d3 ! C12=156.d3 ! C44=136.d3 ! ! steel ! C11=204.6d3 ! C12=137.7d3 ! C44=126.6d3 ! ! ********************************************************** ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model hardeningmodel = 1 ! !! Kocks-Mecking hardening with substructure evolution !! Reference: https://doi.org/10.1016/j.actamat.2010.06.021 !! !! hardening model ! hardeningmodel = 4 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. !! q - substructure ! hardeningparam(7) = 4. !! f - substructure ! hardeningparam(8) = 20. !! ksub - substructure ! hardeningparam(9) = 0.086 ! ! !! Inverse slip test parameter ! hardeningmodel = 0 ! ! ! copper ! Hardening rate - h0 hardeningparam(1)=250. ! Saturation strength for slip - ss hardeningparam(2)=190. ! Hardening exponent - a hardeningparam(3)=2.5 ! Latent hardening coefficient - q hardeningparam(4)=1.4 ! ! !! steel !! Hardening rate - h0 ! hardeningparam(1)=217.8 !! Saturation strength for slip - ss ! hardeningparam(2)=257. !! Hardening exponent - a ! hardeningparam(3)=2.5 !! Latent hardening coefficient - q ! hardeningparam(4)=1.1 ! ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! Hardening interactions - latent hardening hintmat1 = hardeningparam(4) do k = 1, int(nslip/3.) do i = 1, 3 do j = 1, 3 hintmat1(3*(k-1)+i, 3*(k-1)+j)=1. enddo enddo enddo !! ! Backstress parameter backstressparam(1) = 0.25 ! ! custom material - hcp (i.e. zirconium) ! no temperature dependence case(3) ! ! Phase id iphase = 3 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0. ! fraction of mobile dislocations slipparam(3) = 1. ! reference mobile dislocations (1/micrometer^2) slipparam(4) = 0.01 ! activation energy for slip (J) slipparam(5) = 5.127d-20 ! attempt frequency slipparam(6) = 1.d11 ! scaling for jump distance slipparam(7) = 1. ! activation volume slipparam(8) = 20.93 ! ! ! ! Geometric factor (0.1-0.5) gf = 0.22364 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! ! number of slip systems nslip = 30 ! ! Screw systems nscrew = 9 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 10. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burger1 = 3.2d-4 burger2 = 6.0d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 98.32d3 e3 = 123.28d3 g12 = 32.01d3 v12 = 0.40 v13 = 0.24 ! ! crss [MPa] xtauc1 = 187.7 ! basal xtauc2 = 140.8 ! prismatic xtauc3 = 140.8 ! pyramidal xtauc4 = 489.8 ! pyramidal-1 xtauc5 = 2449.1 ! pyramidal-2 ! ! thermal expansion coefficients [1/K] alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g13 = e3/(1.+v13)/2. g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:30) = burger2 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc3 tauc_0(13:24) = xtauc4 tauc_0(25:30) = xtauc5 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model ! linear hardening hardeningmodel = 2 ! hardening parameter (1/micrometer^2) hardeningparam(1) = 2600. ! ! irradiation model irradiationmodel = 2 ! Irradiation parameters ! Number of different types of defects irradiationparam(1) = 3. ! Number density of defects (1/micrometer^3) irradiationparam(2:4) = 2.033d+4 ! size of defects (micrometer) irradiationparam(5:7) = 1.4d-3 ! defect vectors (crystallographic directions) irradiationparam(8:10) = (/ 4.0, 6.0, 11.0 /) ! Strength interaction matrix coefficients (two independent parameters) ! when a=0 (a: reaction segment) irradiationparam(11) = 1.25 ! when a not equals 0 irradiationparam(12) = 1.875 ! Hardening (Softening) interaction matrix coefficients (two independent parameters) ! when a=0 (a: reaction segment) irradiationparam(13) = 0.5 ! when a not equals 0 irradiationparam(14) = 0. ! ! ! ! ! ! tungsten - bcc case(4) ! ! Phase id iphase = 1 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Burgers vectors [micrometers] burger1 = 2.74d-4 ! ! Slip model parameters ! Partly available in the reference https://doi.org/10.1016/j.ijplas.2018.05.001 ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0.0159 ! psi - fraction of mobile dislocations slipparam(3) = 0.727d-2 ! rhom0 - mobile dislocation density slipparam(4) = 0.035 ! DeltaF - activation energy to overcome Pierls barrier slipparam(5) = 3.524788e-20 ! nu0 - attempt frequency slipparam(6) = 1.0d11 ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) slipparam(7) = 0. ! AV0 slipparam(8) = 0. ! ! Geometric factor (0.1-0.5) gf = 0.1 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 4 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 360.0 ! 900 MPa in the reference ! ! elastic constants [MPa] e1 = 421d3 g12 = 164.4d3 v12 = 0.28 ! ! thermal expansion coefficients alpha1 = 9.5d-6 alpha2 = alpha1 alpha3 = 0.5895*alpha1 ! ! ! ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 2 hardeningparam(1) = 1000. ! ! irradiation model irradiationmodel = 1 ! irradiation parameters ! initial strength irradiationparam(1) = 750. ! solute strength saturation strain irradiationparam(2) = 0.025 ! factor for mobile density irradiationparam(3) = 3.457d-2 ! ! ! ! ! copper - fcc case(5) ! ! Phase id iphase = 2 ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.02 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 20.0 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! Burgers vectors [micrometers] burger1 = 2.55d-4 ! ! elastic constants [MPa] e1 = 66.69d3 v12 = 0.4189 g12 = 75.4d3 ! ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! thermal expansion coefficients alpha1 = 13.0d-6 alpha2 = alpha1 alpha3 = alpha1 ! ! burgerv(1:nslip)=burger1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! ! creep model creepmodel = 0 ! ! ! hardening model hardeningmodel = 0 ! ! ! irradiation model irradiationmodel = 0 ! ! ! ! carbide - fcc case(6) ! ! Phase id iphase = 2 ! ! Slip model ! power law slipmodel = 3 ! ! Slip model parameters ! Reference strain rate slipparam(1) = 1.0d-3 ! Rate sensitivity exponent slipparam(2) = 50 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 0 ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 2300.0 ! ! Burgers vectors [micrometers] burger1 = 3.5072d-4 ! ! elastic constants [MPa] e1 = 207.0d4 v12 = 0.28 ! ! thermal expansion coefficients alpha1 = 4.5d-6 alpha2 = alpha1 alpha3 = alpha1 ! ! ! elastic constants based on crystal symmetry e3 = e1 e2 = e1 v13 = v12 v23 = v12 g12 = e1/(2.0*(1.0+v12)) g13 = g12 g23 = g12 ! ! assign Burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! ! ! CMSX-4 - fcc + cubic case(7) ! ! Phase id iphase = 2 ! ! Slip model ! Double exponent law slipmodel = 2 ! ! Slip model parameters ! Reference strain rate slipparam(1) = 1.0d7 ! Inner exponent slipparam(2) = 0.78 ! Outer exponent slipparam(3) = 1.15 ! Activation energy for octahedral slip (J) slipparam(4) = 9.39d-19 ! Activation energy for cubic slip (J) slipparam(5) = 1.17d-18 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! Screw systems nscrew = 6 ! ! ! ! number of slip systems if (cubicslip == 0) then nslip = 12 elseif (cubicslip == 1) then nslip = 18 else call error(3) end if ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! ! crss [MPa] if (tcelsius <= 850.0) then ! temperature in celsius ! tauc_0=-0.000000001051*tcelsius**4 + + 0.000001644382*tcelsius**3 - + 0.000738679333*tcelsius**2 + 0.128385617901*tcelsius + + 446.547978926622 ! if (cubicslip == 1) then ! tauc_0(13:18)=-0.000000001077*tcelsius**4 + + 0.000001567820*tcelsius**3 - + 0.000686532147*tcelsius**2 - + 0.074981918833*tcelsius + + 571.706771689334 ! end if ! else ! tauc_0=-1.1707*tcelsius + 1478.9 ! if (cubicslip == 1) then ! tauc_0(13:18)=-0.9097*tcelsius + 1183 ! end if ! end if ! end temperature check ! ! tcelsius dependent stiffness constants [MPa] if (tcelsius <= 800.0) then ! celsius units ! c11=-40.841*tcelsius+251300 c12=-14.269*tcelsius+160965 ! else ! c11=0.111364*tcelsius**2-295.136*tcelsius+382827.0 c12=-0.000375*tcelsius**3+1.3375*tcelsius**2 - + 1537.5*tcelsius+716000 ! end if ! end temperature check ! g12=-0.00002066*tcelsius**3+0.021718*tcelsius**2 - + 38.3179*tcelsius+129864 ! e1 = (c11-c12)*(c11+2*c12)/(c11+c12) v12 = e1*c12/((c11-c12)*(c11+2*c12)) ! ! temperature dependent thermal expansion coefficient alpha1 = 9.119d-9*tcelsius +1.0975d-5 ! ! Eralp: Burgers vector was not defined for this burger1=2.56d-4 ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! assign Burgers vector scalars burgerv(1:nslip) = burger1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 1 ! ! hardening model hardeningmodel = 0 ! ! creep parameters ! reference rate for creep (1/s) creepparam(1) = 4.0d+8 ! stress multiplier for creep (1/MPa) creepparam(2) = 3.2d-2 ! activation energy for creep (J/mol) creepparam(3) = 460000. ! reference rate for damage (1/s) creepparam(4) = 6.0d6 ! stress multiplier for damage (1/MPa) creepparam(5) = -5.0d-8 ! activation energy for damage (J/mol) creepparam(6) = 340000. ! ! irradiation model irradiationmodel = 0 ! ! ! zirconium - hcp case(8) ! ! Phase id iphase = 3 ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.1 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 9 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! ! Burgers vectors [micrometers] burger1 = 2.28d-4 burger2 = 4.242d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 289.38d3 e3 = 335.17d3 g12 = 132.80d3 g13 = 162.50d3 v12 = 0.09 v13 = 0.04 ! ! crss [MPa] xtauc1 = 15.2 ! basal xtauc2 = 67.7 ! prismatic xtauc4 = 2000.0 ! pyramidal ! ! thermal expansion coefficients [1/K] alpha1 = 9.5d-6 alpha2 = alpha1 alpha3 = 0.5895*alpha1 ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:12) = burger2 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc4 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! Material constants by Alvaro Martinez Pechero ! Berilyum - hcp case(9) ! ! Phase id iphase = 3 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.1 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 3 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 1. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burger1 = 2.28d-4 burger2 = 4.242d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 289.38d3 e3 = 335.17d3 g12 = 132.80d3 g13 = 162.50d3 v12 = 0.09 v13 = 0.04 ! ! crss [MPa] xtauc1 = 20.2 ! basal xtauc2 = 88.7 ! prismatic xtauc4 = 188. ! pyramidal ! ! thermal expansion coefficients [1/K] alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:12) = burger1 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc4 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! alpha-uranium - alphauranium case(10) ! ! Phase id iphase = 4 ! ! Slip model ! power law slipmodel = 3 ! ! Slip model parameters ! reference strain rate slipparam(1) = 1.0d-3 ! rate sensitivity exponent slipparam(2) = 20. ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 8 ! ! Screw systems nscrew = 0 ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burgerv(1:2) = 2.85d-4 burgerv(3:4) = 6.51d-4 burgerv(5:8) = 11.85d-4 ! ! constant factor tau_0^alpha for crss [MPa] ! calhoun 2013 values ! with temperature dependence as in zecevic 2016 ! added after hardening is included tauc_0(1) = 24.5 tauc_0(2) = 85.5 tauc_0(3) = 166.5 tauc_0(4) = 166.5 tauc_0(5) = 235.0 tauc_0(6) = 235.0 tauc_0(7) = 235.0 tauc_0(8) = 235.0 ! ! ! ! elastic moduli [MPa] and poissons ratios ! see prs literature review by philip earp ! short crack propagation in uranium, an anisotropic polycrystalline metal ! temperature dependence according to daniel 1971 e1 = 203665.987780 * (1.0 - 0.000935*(temperature-293.0)) e2 = 148588.410104 * (1.0 - 0.000935*(temperature-293.0)) e3 = 208768.267223 * (1.0 - 0.000935*(temperature-293.0)) v12 = 0.242363 v13 = -0.016293 v23 = 0.387816 g12 = 74349.442379 * (1.0 - 0.000935*(temperature-293.0)) g13 = 73421.439060 * (1.0 - 0.000935*(temperature-293.0)) g23 = 124378.109453 * (1.0 - 0.000935*(temperature-293.0)) ! ! define thermal expansion coefficients as a function of temperature ! lloyd, barrett, 1966 ! thermal expansion of alpha uranium ! journal of nuclear materials 18 (1966) 55-59 alpha1 = 24.22d-6 - 9.83d-9 * temperature + + 46.02d-12 * temperature * temperature alpha2 = 3.07d-6 + 3.47d-9 * temperature - + 38.45d-12 * temperature * temperature alpha3 = 8.72d-6 + 37.04d-9 * temperature + + 9.08d-12 * temperature * temperature ! ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! UKAEA - Vikram Phalke ! copper - fcc ! no temperature dependence case(11) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 1 ! ! copper ! Slip model parameters slipparam(1) = 2.0d-5 ! rate sensitivity exponent slipparam(2) = 1. ! ! ! Geometric factor (0.1-0.5) gf = 0.2 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 14.98 ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! ! Copper xtauc1 = 1. ! ! ! Burgers vectors [micrometers] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model hardeningmodel = 5 ! ! ! ! ! ! copper ! Hardening rate - k1 hardeningparam(1)=0.06 ! Softening rate - k2 hardeningparam(2)=35. ! Latent hardening coefficient - q1 hardeningparam(3)=1.35 ! Latent hardening coefficient - q2 hardeningparam(4)=1.2 ! ! !! hardening model ! hardeningmodel = 3 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. ! ! ! irradiation model irradiationmodel = 0 ! ! ! Define Kronecker delta kdelta = 0. do is=1,nslip kdelta(is,is)=1. end do ! q1=hardeningparam(3) q2=hardeningparam(4) hintmat1=0. ! Define the hardening interaction matrix do is=1,nslip do js=1,nslip hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js) end do end do ! ! ! ! Backstress parameter backstressparam(1) = 0. ! ! ! UKAEA - Vikram Phalke ! CuCrZr - fcc ! no temperature dependence case(12) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 1 ! ! copper ! Slip model parameters slipparam(1) = 2.0d-5 ! rate sensitivity exponent slipparam(2) = 1. ! ! ! Geometric factor (0.1-0.5) gf = 0.2 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density [1/micrometer^2] rho_0(1:nslip) = 14.98 ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! ! CuCrZr xtauc1 = 84.6 ! ! ! Burgers vectors [micrometer] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model (KM with precipitates) hardeningmodel = 5 ! ! ! ! ! ! CuCrZr ! Hardening rate - k1 hardeningparam(1)=0.06 ! Softening rate - k2 hardeningparam(2)=35. ! Latent hardening coefficient - q1 hardeningparam(3)=1.35 ! Latent hardening coefficient - q2 hardeningparam(4)=1.2 ! ! Parameters related to precipitate strengthening ! Geometric/Strength factor for precipitates hardeningparam(5)=0.08 ! Number density of precipitates [1/micrometer^3] hardeningparam(6)=1.76d6 ! Particle diameter [micrometer] hardeningparam(7)=3.2d-3 ! !! hardening model ! hardeningmodel = 3 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. ! ! ! irradiation model irradiationmodel = 0 ! ! ! Define Kronecker delta kdelta = 0. do is=1,nslip kdelta(is,is)=1. end do ! q1=hardeningparam(3) q2=hardeningparam(4) hintmat1=0. ! Define the hardening interaction matrix do is=1,nslip do js=1,nslip hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js) end do end do ! ! ! ! Backstress parameter backstressparam(1) = 0. ! ! ! case default ! call error(1) ! end select ! ! *** set up elastic stiffness matrix in lattice system *** ! http://solidmechanics.org/Text/Chapter3_2/Chapter3_2.php#Sect3_2_11 ! however, the voigt notation in abaqus for strain and stress vectors ! has the following order: ! stress = (sigma11,sigma22,sigma33,tau12 tau13 tau23) ! strain = (epsilon11,epsilon22,epsilon33,gamma12,gamma13,gamma23) ! Calculate the remaining Poisson's ratios v21 = e2/e1*v12 v31 = e3/e1*v13 v32 = e3/e2*v23 ! ! constant as a factor cst = 1./(1.-v12*v21-v23*v32-v31*v13 + -2.*v21*v32*v13) ! Cc=0. Cc(1,1) = e1*(1.-v23*v32)*cst Cc(2,2) = e2*(1.-v13*v31)*cst Cc(3,3) = e3*(1.-v12*v21)*cst Cc(1,2) = e1*(v21+v31*v23)*cst Cc(1,3) = e1*(v31+v21*v32)*cst Cc(2,3) = e2*(v32+v12*v31)*cst Cc(4,4) = g12 Cc(5,5) = g13 Cc(6,6) = g23 ! ! symmetrize compliance matrix Cc(2,1) = Cc(1,2) Cc(3,1) = Cc(1,3) Cc(3,2) = Cc(2,3) ! ! ! ! define thermal eigenstrain in the lattice system alphamat=0. alphamat(1,1) = alpha1 alphamat(2,2) = alpha2 alphamat(3,3) = alpha3 ! ! ! ! return ! end subroutine materialparam ! ! ! ! ! end module usermaterials ================================================ FILE: Example - Single crystal with material vox file/useroutputs.f ================================================ ! Nov. 11th, 2022 ! Eralp Demir ! ! This is written to define the outputs for post-processing ! module useroutputs implicit none ! ! ! GLOBAL VARIABLES USED IN POST-PROCESSING ! ------------------------------------------------------------------------------- ! ! Flags for different outputs (22-30 custom outputs) integer, public :: statev_outputs(30) ! ! Set the desired outputs by setting 0 / 1 ! in the "defineoutputs" subroutine in the below! ! ! ! ! Number of outputs - will be computed integer, public :: nstatv_outputs ! ! ! ------------------------------------------------------------------------------- ! contains ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine defineoutputs ! use userinputs, only : maxnslip, maxnloop ! implicit none ! ! Variables used in the subroutine integer :: i, ind ! ! ! List of variables ! Set the flag to "1" if requested ! ! 1st State-variable output / number of outputs: 9 ! Crystal to Sample tranformation: statev_gmatinv statev_outputs(1) = 0 ! ! 2nd State-variable output / number of outputs: 1 ! Equivalent Von-Mises plastic total strain: statev_evmp statev_outputs(2) = 0 ! ! 3rd State-variable output / number of outputs: 1 ! Maximum ratio of rss to crss: statev_maxx statev_outputs(3) = 0 ! ! 4th State-variable output / number of outputs: 6 ! Elastic strains in the crystal frame: statev_Eec statev_outputs(4) = 0 ! ! 5th State-variable output / number of outputs: 9 ! Lattice curvature: statev_curvature statev_outputs(5) = 0 ! ! 6th State-variable output / number of outputs: 1 ! Total statistically-stored dislocation density: statev_ssdtot statev_outputs(6) = 0 ! ! 7th State-variable output / number of outputs: 1 ! Substructure dislocation density: statev_substructure statev_outputs(7) = 0 ! ! 8th State-variable output / number of outputs: 1 ! Solute strength: statev_tausolute statev_outputs(8) = 0 ! ! 9th State-variable output / number of outputs: 1 ! Cumulative slip: statev_totgammasum statev_outputs(9) = 0 ! ! 10th State-variable output / number of outputs: maxnslip ! Total slip per slip system: statev_gammasum statev_outputs(10) = 1 ! ! 11th State-variable output / number of outputs: maxnslip ! Slip rate: statev_gammadot statev_outputs(11) = 0 ! ! 12nd State-variable output / number of outputs: maxnslip ! Critical Resolved Shear Stress: statev_tauc statev_outputs(12) = 0 ! ! 13rd State-variable output / number of outputs: maxnslip ! Statistically-Stored Dislocation Density: statev_ssd statev_outputs(13) = 0 ! ! 14th State-variable output / number of outputs: maxnslip*2 ! Geometrically Necessary Dislocation Density: statev_gnd statev_outputs(14) = 0 ! ! 15th State-variable output / number of outputs: maxnslip ! Foresty Dislocation Density: statev_forest statev_outputs(15) = 0 ! ! 16th State-variable output / number of outputs: maxnloop ! Defect Loop Density: statev_loop statev_outputs(16) = 0 ! ! 17th State-variable output / number of outputs: maxnslip ! Backstress: statev_backstress statev_outputs(17) = 0 ! ! 18th State-variable output / number of outputs: 1 ! Total GND density statev_outputs(18) = 0 ! ! 19th State-variable output / number of outputs: 1 ! Plastic dissipation power density statev_outputs(19) = 0 ! ! 20st State-variable output / number of outputs: 1 ! Fatemi Socie parameter statev_outputs(20) = 0 ! ! 21-30 custom outputs ! Need to be defined here! statev_outputs(21) = 0 statev_outputs(22) = 0 statev_outputs(23) = 0 statev_outputs(24) = 0 statev_outputs(25) = 0 statev_outputs(26) = 0 statev_outputs(27) = 0 statev_outputs(28) = 0 statev_outputs(29) = 0 statev_outputs(30) = 0 ! ! ! ! ! ! ! ! Count the user-defined outputs nstatv_outputs=0 ! Find the total number of state variable outputs if (statev_outputs(1)==1) then nstatv_outputs=nstatv_outputs+9 endif if (statev_outputs(2)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(3)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(4)==1) then nstatv_outputs=nstatv_outputs+6 endif if (statev_outputs(5)==1) then nstatv_outputs=nstatv_outputs+9 endif if (statev_outputs(6)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(7)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(8)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(9)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(10)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(11)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(12)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(13)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(14)==1) then nstatv_outputs=nstatv_outputs+maxnslip*2 endif if (statev_outputs(15)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(16)==1) then nstatv_outputs=nstatv_outputs+maxnloop endif if (statev_outputs(17)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(18)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(19)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(20)==1) then nstatv_outputs=nstatv_outputs+1 endif ! ! ! Custom outputs need to be filled here! ! ! ! ! ! end subroutine defineoutputs ! ! ! ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine checkoutputs(nstatv) use errors, only: error implicit none ! Number of state variables integer, intent(in) :: nstatv ! ! Check if defined correctly if (nstatv_outputs > nstatv) then write(*,*) 'There are ', + nstatv_outputs, ' number of outputs!' write(*,*) 'But, ', + nstatv, ' number of outputs were defined in DEPVAR!' ! error message in .dat file call error(6) end if ! end subroutine checkoutputs ! ! ! ! ! ! ! subroutine write_statev_legend use userinputs, only : maxnslip, maxnloop ! implicit none ! integer count, i character*2 ij ! ! Write the legend of the output variables (nstatv) ! Outputs to extract: ! 1: Transformation matrix from crystal to sample (x9) ! 2: Equivalent Von-Mises plastic strain (x1) ! 3: Maximum ratio of rss to crss (x1) ! 4: Elastic strain in crystal frame (x6) ! 5: Lattice curvature (x9) ! 6: SSD total (x1) ! 7: Substructure density (x1) ! 8: Solute strength (x1) ! 9: cumulative slip (x1) ! 10: total slip per slip system (x maxnslip) ! 11: slip rates per slip system (x maxnslip) ! 12: CRSS (x maxnslip) ! 13: SSD (x maxnslip) ! 14: GND (x maxnslip) ! 15: Forest (x maxnslip) ! 16: Loop (x maxnloop) ! 17: Backstress (x maxnslip) ! 18: GND density (x1) ! 19: Plastic dissipation power density (x1) ! 20: Fatemi Socie parameter (x1) ! 21-30: Custom outputs ! ! ! ! ! ! count = 0 open(100,file='../STATEV_legend.txt',action='write', + status='replace') ! ! ! ! ! ! ! ! State variable-1 if (statev_outputs(1) == 1) then ! do i = 1, 9 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'xy' case(3) ij = 'xz' case(4) ij = 'yx' case(5) ij = 'yy' case(6) ij = 'yz' case(7) ij = 'zx' case(8) ij = 'zy' case(9) ij = 'zz' ! end select ! ! ! write(100,'(A7,I3,A37,A2,A4)') + 'STATEV-', count, + ': Crystal to Sample transformation -', ij, ' [-]' ! end do ! ! endif ! ! ! ! ! State variable-2 if (statev_outputs(2) == 1) then ! ! ! count = count + 1 ! ! ! write(100,'(A7,I3,A39,A4)') + 'STATEV-', count, + ': Equivalent Von-Mises plastic strain', ' [-]' ! ! ! ! endif ! ! ! State variable-3 if (statev_outputs(3) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A32,A4)') + 'STATEV-', count, + ': Maximum ratio of rss to crss', ' [-]' ! ! ! ! endif ! ! ! ! State variable-4 if (statev_outputs(4) == 1) then ! do i = 1, 6 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'yy' case(3) ij = 'zz' case(4) ij = 'xy' case(5) ij = 'xz' case(6) ij = 'yz' ! end select ! ! ! write(100,'(A7,I3,A36,A2,A6)') + 'STATEV-', count, + ': Elastic strain in crystal frame-', ij, ' [MPa]' ! end do ! ! endif ! ! ! ! ! ! State variable-5 if (statev_outputs(5) == 1) then ! do i = 1, 9 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'xy' case(3) ij = 'xz' case(4) ij = 'yx' case(5) ij = 'yy' case(6) ij = 'yz' case(7) ij = 'zx' case(8) ij = 'zy' case(9) ij = 'zz' ! end select ! ! ! write(100,'(A7,I3,A21,A2,A15)') + 'STATEV-', count, + ': Lattice curvature', ij, ' [1/micrometer]' ! end do ! ! endif ! ! ! ! ! ! ! ! ! ! State variable-6 if (statev_outputs(6) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A21,A17)') + 'STATEV-', count, + ': total SSD density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! ! State variable-7 if (statev_outputs(7) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A24,A17)') + 'STATEV-', count, + ': substructure density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! State variable-8 if (statev_outputs(8) == 1) then ! ! ! count = count + 1 ! ! ! write(100,'(A7,I3,A19,A6)') + 'STATEV-', count, + ': solute strength', ' [MPa]' ! ! ! ! endif ! ! ! State variable-9 if (statev_outputs(9) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A19,A4)') + 'STATEV-', count, + ': cumulative slip', ' [-]' ! ! ! ! endif ! ! ! ! ! State variable-10 if (statev_outputs(10) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A30,I2,A4)') + 'STATEV-', count, + ': Total slip on slip system-', i, ' [-]' ! end do ! ! endif ! ! ! ! ! State variable-11 if (statev_outputs(11) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A29,I2,A6)') + 'STATEV-', count, + ': Slip rate of slip system-', i, ' [1/s]' ! end do ! ! endif ! ! ! State variable-12 if (statev_outputs(12) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A24,I2,A6)') + 'STATEV-', count, + ': CRSS on slip system-', i, ' [MPa]' ! end do ! ! endif ! ! ! ! ! State variable-13 if (statev_outputs(13) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': SSD density of slip system-', i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! ! ! State variable-14 if (statev_outputs(14) == 1) then ! do i = 1, maxnslip*2 ! count = count + 1 ! ! Edge dislocation if (i <= maxnslip) then ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': Edge dislocation density-', i, ' [1/micrometer^2]' ! else ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': Screw dislocation density-', i-maxnslip, ' [1/micrometer^2]' ! end if ! ! end do ! ! endif ! ! ! State variable-15 if (statev_outputs(15) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A46,I2,A17)') + 'STATEV-', count, + ': Forest dislocation density of slip system-', + i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! State variable-16 if (statev_outputs(16) == 1) then ! do i = 1, maxnloop ! count = count + 1 ! ! ! write(100,'(A7,I3,A46,I2,A17)') + 'STATEV-', count, + ': Loop dislocation density of defect system-', + i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! State variable-17 if (statev_outputs(17) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A30,I2,A6)') + 'STATEV-', count, + ': Backstress on slip system-', + i, ' [MPa]' ! end do ! ! endif ! ! State variable-18 if (statev_outputs(18) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A21,A17)') + 'STATEV-', count, + ': Total GND density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! State variable-19 if (statev_outputs(19) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A37,A5)') + 'STATEV-', count, + ': Plastic dissipation power density', ' [nW]' ! ! ! ! endif ! ! State variable-20 if (statev_outputs(20) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A26,A4)') + 'STATEV-', count, + ': Fatemi Socie parameter', ' [-]' ! ! ! ! endif ! close(100) ! ! ! ! ! ! return end subroutine write_statev_legend ! ! ! ! ! ! ! subroutine assignoutputs(noel,npt,nstatv,statev) use globalvariables, only: statev_gmatinv, + statev_evmp, statev_maxx, statev_Eec, + statev_curvature, statev_backstress_t, + statev_ssdtot, statev_substructure, + statev_tausolute, statev_totgammasum, + statev_gammasum, statev_gammadot, + statev_tauceff, statev_ssd, statev_loop, statev_gnd_t, + statev_forest, statev_plasdiss use userinputs, only: maxnslip, maxnloop use utilities, only: matvec9 implicit none ! Element number integer, intent(in) :: noel ! Integration point integer, intent(in) :: npt ! Number of state variables integer, intent(in) :: nstatv ! Values of state variables real(8), intent(inout) :: statev(nstatv) ! Other variables integer :: i, j real(8) :: d6(6), d9(9), d1 real(8) :: gnd(maxnslip*2) ! Outputs to extract: ! 1: Transformation matrix from crystal to sample (x9) ! 2: Equivalent Von-Mises plastic strain (x1) ! 3: Maxium ratio of rss to crss (x1) ! 4: Elastic strain in crystal frame (x6) ! 5: Lattice curvature (x9) ! 6: SSD total (x1) ! 7: Substructure density (x1) ! 8: Solute strength (x1) ! 9: Cumulative slip (x1) ! 10: Total slip per slip system (x maxnslip) ! 11: Slip rates per slip system (x maxnslip) ! 12: Effective CRSS (x maxnslip) ! 13: SSD (x maxnslip) ! 14: GND (x maxnslip) ! 15: Forest (x maxnslip) ! 16: Loop density (x maxnloop) ! 17: Backstress (x maxnslip) ! 18: Total GND density (x1) ! 19: Plastic dissipation (x1) ! 20: Fatemi Socie parameter (x1) ! 21-30: Custom outputs ! ! ! Reset the counter i=0 ! ! State variable-1 ! Transformation matrix from crystal to sample (x9) if (statev_outputs(1)==1) then ! ! ! call matvec9(statev_gmatinv(noel,npt,:,:),d9) ! do j = 1, 9 ! i = i + 1 statev(i) = d9(j) ! end do ! end if ! ! ! ! State variable-2 ! Equivalent Von-Mises plastic strain (x1) if (statev_outputs(2)==1) then ! i = i + 1 statev(i) = statev_evmp(noel,npt) ! end if ! ! ! State variable-3 ! Maxium ratio of rss to crss (x1) if (statev_outputs(3)==1) then ! i = i + 1 statev(i) = statev_maxx(noel,npt) ! end if ! ! ! State variable-4 ! Elastic strain in crystal frame (x6) if (statev_outputs(4)==1) then ! ! do j = 1, 6 i = i + 1 statev(i) = statev_Eec(noel,npt,j) end do ! ! end if ! ! ! State variable-5 ! Lattice curvature (x9) if (statev_outputs(5)==1) then ! d9 = statev_curvature(noel,npt,:) ! do j = 1, 9 ! i = i + 1 statev(i) = d9(j) ! end do ! ! end if ! ! ! State variable-6 ! SSD total (x1) if (statev_outputs(6)==1) then ! i = i + 1 statev(i) = statev_ssdtot(noel,npt) ! end if ! ! ! ! State variable-7 ! Substructure density (x1) if (statev_outputs(7)==1) then ! i = i + 1 statev(i) = statev_substructure(noel,npt) ! end if ! ! ! State variable-8 ! Solute strength (x1) if (statev_outputs(8)==1) then ! i = i + 1 statev(i) = statev_tausolute(noel,npt) ! end if ! ! ! State variable-9 ! Cumulative slip (x1) if (statev_outputs(9)==1) then ! i = i + 1 statev(i) = statev_totgammasum(noel,npt) ! end if ! ! ! State variable-10 ! Total slip per slip system (x maxnslip) if (statev_outputs(10)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_gammasum(noel,npt,j) end do ! end if ! ! ! State variable-11 ! Slip rates per slip system (x maxnslip) if (statev_outputs(11)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_gammadot(noel,npt,j) end do ! end if ! ! State variable-12 ! CRSS (x maxnslip) if (statev_outputs(12)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_tauceff(noel,npt,j) end do ! end if ! ! ! State variable-13 ! SSD (x maxnslip) if (statev_outputs(13)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_ssd(noel,npt,j) end do ! end if ! ! ! State variable-14 ! GND (x maxnslip) if (statev_outputs(14)==1) then ! do j = 1, maxnslip*2 i = i + 1 statev(i) = statev_gnd_t(noel,npt,j) end do ! end if ! ! ! State variable-15 ! Forest density (x maxnslip) if (statev_outputs(15)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_forest(noel,npt,j) end do ! end if ! ! State variable-16 ! Loop density (x maxnloop) if (statev_outputs(16)==1) then ! do j = 1, maxnloop i = i + 1 statev(i) = statev_loop(noel,npt,j) end do ! end if ! ! ! State variable-17 ! Backstress (x maxnslip) if (statev_outputs(17)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_backstress_t(noel,npt,j) end do ! end if ! ! State variable-18 ! GND total (x1) if (statev_outputs(18)==1) then ! i = i + 1 gnd = statev_gnd_t(noel,npt,1:2*maxnslip) statev(i) = sqrt(sum(gnd*gnd)) ! end if ! ! State variable-19 ! Plastic dissipation power density (x1) if (statev_outputs(19)==1) then ! i = i + 1 statev(i) = statev_plasdiss(noel,npt) ! end if ! ! State variable-20 ! Fatemi Socie parameter (x1) if (statev_outputs(20)==1) then ! i = i + 1 call FatemiSocie_parameter(noel,npt,d1) statev(i) = d1 ! end if ! ! ! Custom state variables 21-30 ! Please add custom outputs here! ! ! ! ! return end subroutine assignoutputs ! ! !! ! ! ! ! Subroutine to calculate Fatemi Socie parameter subroutine FatemiSocie_parameter(noel,npt,FSp) use userinputs, only: maxnslip use globalvariables, only: statev_sigma, statev_gammasum, + statev_gmatinv, statev_tauceff, materialid, norc_0_all use utilities, only: vecmat6 implicit none integer, intent(in) :: noel integer, intent(in) :: npt real(8), intent(out) :: FSp ! Variables used in the subroutine real(8) :: sig6(6), sig3x3(3,3) real(8) :: gammasum(maxnslip) real(8) :: gmatinv(3,3) real(8) :: tauceff(maxnslip), tauceffmax integer :: matid real(8) :: norc(3), nors(3) real(8) :: shmax, sigmax, k integer :: ismax, is, i, j ! ! Input parameter "k" ! Reference: https://doi.org/10.1016/j.ijfatigue.2011.01.003 k = 0.5 ! ! FSp=0. sig6 = statev_sigma(noel,npt,:) gammasum = statev_gammasum(noel,npt,:) gmatinv = statev_gmatinv(noel,npt,:,:) tauceff = statev_tauceff(noel,npt,:) matid = materialid(noel,npt) ! ! ! Find maximum slip shmax=0. do is=1,maxnslip if (abs(gammasum(is)).gt.shmax) then shmax = abs(gammasum(is)) ismax = is end if end do ! ! Maximum CRSS tauceffmax = tauceff(ismax) ! ! Slip plane normal of maximum slip norc = norc_0_all(matid,ismax,:) ! ! Transform to sample reference nors = matmul(gmatinv,norc) ! ! Convert stress to 3x3 matrix call vecmat6(sig6,sig3x3) ! ! Project stress to the slip plane of maximum slip sigmax = 0. do i = 1, 3 do j = 1, 3 sigmax = sigmax + + nors(i)*sig3x3(i,j)*nors(j) end do end do ! ! Parameter calculation FSp = shmax/2.*(1.+k*sigmax/tauceffmax) ! ! return end subroutine FatemiSocie_parameter ! ! ! end module useroutputs ================================================ FILE: Example - Single crystal with material vox file/utilities.f ================================================ ! ************************************************* ! ************************************************* ! * UTILITY SUBROUTINES * ! ************************************************* ! ************************************************* ! Updated on Sept 23rd, 2022 ! Reorganized by Eralp Demir ! Converged into a module file ! Function trace is written as a subroutine ! ! module utilities implicit none contains ! ! ! ************************************************* ! * TRACE OF A 3X3 MATRIX * ! ************************************************* subroutine trace3x3(a,aii) implicit none real(8), intent(in) :: a(3,3) real(8), intent(out) :: aii ! aii = a(1,1)+a(2,2)+a(3,3) ! return end subroutine trace3x3 ! ! ! ! ************************************************* ! * TRACE OF A2X2 MATRIX * ! ************************************************* subroutine trace2x2(a,aii) implicit none real(8), intent(in) :: a(2,2) real(8), intent(out) :: aii ! aii = a(1,1)+a(2,2) ! return end subroutine trace2x2 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR * ! ************************************************* subroutine vecmat9(dvin,dmout) implicit none real(8), intent(in) :: dvin(9) real(8), intent(out) :: dmout(3,3) integer :: i ! dmout(1,1) = dvin(1) dmout(1,2) = dvin(2) dmout(1,3) = dvin(3) ! dmout(2,1) = dvin(4) dmout(2,2) = dvin(5) dmout(2,3) = dvin(6) ! dmout(3,1) = dvin(7) dmout(3,2) = dvin(8) dmout(3,3) = dvin(9) ! return end subroutine vecmat9 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR * ! ************************************************* subroutine matvec9(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(9) integer :: i ! dvout(1) = dmin(1,1) dvout(2) = dmin(1,2) dvout(3) = dmin(1,3) ! dvout(4) = dmin(2,1) dvout(5) = dmin(2,2) dvout(6) = dmin(2,3) ! dvout(7) = dmin(3,1) dvout(8) = dmin(3,2) dvout(9) = dmin(3,3) ! return end subroutine matvec9 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 6X1 COLUMN VECTOR * ! ************************************************* subroutine matvec6(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(6) integer :: i ! do i=1,3 dvout(i)=dmin(i,i) end do ! dvout(4) = (dmin(1,2)+dmin(2,1))/2. dvout(5) = (dmin(1,3)+dmin(3,1))/2. dvout(6) = (dmin(2,3)+dmin(3,2))/2. ! return end subroutine matvec6 ! ! ! ************************************************* ! * TRANSFER 6X1 COLUMN VECTOR TO 3X3 MATRIX * ! ************************************************* ! subroutine vecmat6(dvin,dmout) implicit none real(8), intent(in) :: dvin(6) real(8), intent(out) :: dmout(3,3) integer :: i ! do i=1,3 dmout(i,i) = dvin(i) end do ! dmout(1,2) = dvin(4) dmout(2,1) = dvin(4) dmout(1,3) = dvin(5) dmout(3,1) = dvin(5) dmout(3,2) = dvin(6) dmout(2,3) = dvin(6) ! return end subroutine vecmat6 ! ! ! ************************************************* ! * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 * ! ************************************************* subroutine vecprod(dvin1,dvin2,dvout) implicit none real(8), intent(in) :: dvin1(3), dvin2(3) real(8), intent(out) :: dvout(3) ! dvout(1)=dvin1(2)*dvin2(3)-dvin1(3)*dvin2(2) dvout(2)=dvin1(3)*dvin2(1)-dvin1(1)*dvin2(3) dvout(3)=dvin1(1)*dvin2(2)-dvin1(2)*dvin2(1) ! return end subroutine vecprod ! ! ! ************************************************* ! * DOT PRODUCT OF 3X1 WITH 3X1 GIVING 1X1 * ! ************************************************* subroutine dotprod(dvin1,dvin2,dvout) implicit none real(8), intent(in) :: dvin1(3), dvin2(3) real(8), intent(out) :: dvout(3) ! dvout = dvin1(1)*dvin2(1)+dvin1(2)*dvin2(2)+dvin1(3)*dvin2(3) dvout = abs(dvout) ! return end subroutine dotprod ! ! ! **************************************************** ! * TRANSFER GENERAL 3X3 MATRIX TO 6X1 COLUMN VECTOR * ! **************************************************** ! Off-diagonal terms are doubled! ! This is valid for shear conversion only! subroutine gmatvec6(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(6) integer :: i ! do i=1,3 dvout(i)=dmin(i,i) end do ! dvout(4) = dmin(1,2)+dmin(2,1) dvout(5) = dmin(3,1)+dmin(1,3) dvout(6) = dmin(2,3)+dmin(3,2) ! return end subroutine gmatvec6 ! ! ************************************************* ! * INVERSE OF A MATRIX WITH LAPACK * ! ************************************************* ! Checked inverse against python's numpy.linalg.inv subroutine lapinverse(xmatin,m,info,xmatout) implicit none ! integer,intent(in) :: m real(8),intent(in):: xmatin(m,m) !abaqus won't allow xmatin(:,:) ! integer,parameter :: lwork = 64 real(8),parameter :: zero=1.0d-12 integer :: i,j ! integer,intent(out) :: info real(8),intent(out) :: xmatout(m,m) integer :: ipiv(m) real(8) :: a(m,m) real(8) :: work(lwork) ! ! ! https://software.intel.com/en-us/mkl-developer-reference-fortran-getri#626EB2AE-CA6A-4233-A6FA-04F54EF7A6E6 ! ! EXTERNAL DGETRI, DGETRF ! ! ! xmatout = 0. ! ED: I have added to run this ! The next line shall be removed info=1 ! a = xmatin !don't input array xmatin ! ! call DGETRF( m, m, a, m, ipiv, info ) ! if(info == 0) then ! call DGETRI( m, a, m, ipiv, work, lwork, info ) !write(*,*) "work(1) == min lwork needed", work(1) else xmatout = 0. ! write(*,*)"dgetrf, illegal value at = ",-info,". no inverse" end if ! do i=1,m; do j=1,m; if (abs(a(i,j))<= zero) a(i,j) = 0. end do end do xmatout = a ! ! ! ! return end subroutine lapinverse ! ! ! ! ! **************************************************** ! * INVERSE OF A MATRIX WITHOUT LAPACK * ! **************************************************** ! subroutine nolapinverse(ain,c,n) ! ============================================================ ! Inverse matrix ! Method: Based on Doolittle LU factorization for Ax=b ! Alex G. December 2009 ! ----------------------------------------------------------- ! input ... ! a(n,n) - array of coefficients for matrix A ! n - dimension ! output ... ! c(n,n) - inverse matrix of A ! ! =========================================================== implicit none ! integer, intent(in) :: n real(8), intent(out) :: c(n,n) real(8), intent(in) :: ain(n,n) real(8) :: L(n,n), U(n,n), b(n), d(n), x(n) real(8) :: coeff, a(n,n) integer :: i, j, k ! ! step 0: initialization for matrices L and U and b ! Fortran 90/95 allows such operations on matrices L=0. U=0. b=0. a=ain ! ! step 1: forward elimination do k=1,n-1 do i=k+1,n coeff=a(i,k)/a(k,k) L(i,k) = coeff do j=k+1,n a(i,j) = a(i,j)-coeff*a(k,j) end do end do end do ! ! Step 2: prepare L and U matrices ! L matrix is a matrix of the elimination coefficient ! + the diagonal elements are 1.0 do i=1,n L(i,i) = 1.0 end do ! U matrix is the upper triangular part of A do j=1,n do i=1,j U(i,j) = a(i,j) end do end do ! ! Step 3: compute columns of the inverse matrix C do k=1,n b(k)=1.0 d(1) = b(1) ! Step 3a: Solve Ld=b using the forward substitution do i=2,n d(i)=b(i) do j=1,i-1 d(i) = d(i) - L(i,j)*d(j) end do end do ! Step 3b: Solve Ux=d using the back substitution x(n)=d(n)/U(n,n) do i = n-1,1,-1 x(i) = d(i) do j=n,i+1,-1 x(i)=x(i)-U(i,j)*x(j) end do x(i) = x(i)/u(i,i) end do ! Step 3c: fill the solutions x(n) into column k of C do i=1,n c(i,k) = x(i) end do b(k)=0.0 end do ! end subroutine nolapinverse ! ! ! ! ! ! ************************************************* ! * SUBROUTINE MATRIX SQUARE ROOT * ! ************************************************* ! subroutine msqrt(a,b) implicit none real(8), intent(inout) :: a(3,3) real(8), intent(out) :: b(3,3) integer :: i real(8) :: diag(3,3), q(3,3), d(3), + qtrans(3,3), res(3,3) ! ! diag=0.; b=0.; q=0.;res=0.;d=0. ! call jacobi(a,3,d,q) call eigsrt(d,q,3) ! do i=1,3 if (d(i) .ge. 0) then diag(i,i)=sqrt(d(i)) else write (6,*) 'the matrix is not positive definite' end if end do ! res = matmul(q,diag) b = matmul(res,transpose(q)) ! return end subroutine msqrt ! ! ! ! ************************************************* ! * SUBROUTINE MATRIX EIGENVALUES AND EIGENVECTORS* ! ************************************************* ! subroutine jacobi(a,n,d,v) implicit none integer, intent(in) :: n real(8), intent(inout) :: a(n,n) real(8), intent(out) :: d(n), v(n,n) ! integer, parameter :: nmax=500 integer :: i, j, ip, iq, nrot real(8) :: b(nmax), z(nmax), dial(n,n), + sm, tresh, g, h, t, theta, c, s, ta ! ! do ip=1,n do iq=1,n v(ip,iq)=0. end do v(ip,ip)=1. end do ! do ip=1,n b(ip)=a(ip,ip) d(ip)=b(ip) z(ip)=0. end do ! nrot=0 do i=1,50 sm=0. do ip=1,n-1 do iq=ip+1,n sm=sm+abs(a(ip,iq)) end do end do ! if (sm .eq. 0.) return if (i .lt. 4) then tresh=0.2*sm/n**2 else tresh=0. end if ! do ip=1,n-1 do iq=ip+1,n g=100.*abs(a(ip,iq)) if ((i .gt. 4) .and. (abs(d(ip))+g .eq. abs(d(ip))) + .and. (abs(d(ip))+g .eq. abs(d(iq)))) then a(ip,iq)=0. else if (abs(a(ip,iq)) .gt. tresh) then h=d(iq)-d(ip) if (abs(h)+g .eq. abs(h)) then t=a(ip,iq)/h else theta=0.5*h/a(ip,iq) t=1./(abs(theta)+sqrt(1.+theta**2)) if (theta .lt. 0) t=-t end if c=1./sqrt(1.+t**2) s=t*c ta=s/(1.+c) h=t*a(ip,iq) z(ip)=z(ip)-h z(iq)=z(iq)+h d(ip)=d(ip)-h d(iq)=d(iq)+h a(ip,iq)=0. ! do j=1,ip-1 g=a(j,ip) h=a(j,iq) a(j,ip)=g-s*(h+g*ta) a(j,iq)=h+s*(g-h*ta) end do ! do j=ip+1,iq-1 g=a(ip,j) h=a(j,iq) a(ip,j)=g-s*(h+g*ta) a(j,iq)=h+s*(g-h*ta) end do ! do j=iq+1,n g=a(ip,j) h=a(iq,j) a(ip,j)=g-s*(h+g*ta) a(iq,j)=h+s*(g-h*ta) end do ! do j=1,n g=v(j,ip) h=v(j,iq) v(j,ip)=g-s*(h+g*ta) v(j,iq)=h+s*(g-h*ta) end do ! nrot=nrot+1 end if end do end do ! do ip=1,n b(ip)=b(ip)+z(ip) d(ip)=b(ip) z(ip)=0. end do end do ! ! return end subroutine jacobi ! ! ! ************************************************* ! * SUBROUTINE SORT EIGENVALUES * ! ************************************************* ! subroutine eigsrt(d,v,n) implicit none integer, intent(in) :: n real(8), intent(inout) :: d(n) real(8), intent(inout) :: v(n,n) ! integer :: i, j, k real(8) :: p ! do i=1,n-1 k=i p=d(i) do j=i+1,n if(d(j).ge.p)then k=j p=d(j) endif end do if(k.ne.i)then d(k)=d(i) d(i)=p do j=1,n p=v(j,i) v(j,i)=v(j,k) v(j,k)=p end do endif end do ! return end subroutine eigsrt ! ! ! ************************************************* ! * THE DETERMINANT OF A 3X3 MATRIX * ! ************************************************* subroutine deter3x3(dmin,d) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: d ! d = 0. d = dmin(1,1)*dmin(2,2)*dmin(3,3) + + dmin(1,2)*dmin(2,3)*dmin(3,1) + + dmin(2,1)*dmin(3,2)*dmin(1,3) - + dmin(1,3)*dmin(2,2)*dmin(3,1) - + dmin(1,1)*dmin(2,3)*dmin(3,2) - + dmin(1,2)*dmin(2,1)*dmin(3,3) ! return end subroutine deter3x3 ! ! ! ************************************************* ! * THE DETERMINANT OF A 2X2 MATRIX * ! ************************************************* subroutine deter2x2(dmin,d) implicit none real(8), intent(in) :: dmin(2,2) real(8), intent(out) :: d ! d=0. d=dmin(1,1)*dmin(2,2)-dmin(1,2)*dmin(2,1) ! return end subroutine deter2x2 ! ! ************************************************* ! * Build 4th order rotation matrix (tsigma) * ! ************************************************* ! valid for rotating symmetric tensors subroutine rotord4sig(xrot,tsigma) implicit none real(8), intent(in) :: xrot(3,3) real(8), intent(out) :: tsigma(6,6) ! tsigma(1,1) = xrot(1,1)*xrot(1,1) tsigma(1,2) = xrot(1,2)*xrot(1,2) tsigma(1,3) = xrot(1,3)*xrot(1,3) tsigma(1,4) = 2.*xrot(1,1)*xrot(1,2) tsigma(1,6) = 2.*xrot(1,2)*xrot(1,3) tsigma(1,5) = 2.*xrot(1,3)*xrot(1,1) ! tsigma(2,1) = xrot(2,1)*xrot(2,1) tsigma(2,2) = xrot(2,2)*xrot(2,2) tsigma(2,3) = xrot(2,3)*xrot(2,3) tsigma(2,4) = 2.*xrot(2,1)*xrot(2,2) tsigma(2,6) = 2.*xrot(2,2)*xrot(2,3) tsigma(2,5) = 2.*xrot(2,3)*xrot(2,1) ! tsigma(3,1) = xrot(3,1)*xrot(3,1) tsigma(3,2) = xrot(3,2)*xrot(3,2) tsigma(3,3) = xrot(3,3)*xrot(3,3) tsigma(3,4) = 2.*xrot(3,1)*xrot(3,2) tsigma(3,6) = 2.*xrot(3,2)*xrot(3,3) tsigma(3,5) = 2.*xrot(3,3)*xrot(3,1) ! tsigma(4,1) = xrot(1,1)*xrot(2,1) tsigma(4,2) = xrot(1,2)*xrot(2,2) tsigma(4,3) = xrot(1,3)*xrot(2,3) tsigma(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1) tsigma(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3) tsigma(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1) ! tsigma(6,1) = xrot(2,1)*xrot(3,1) tsigma(6,2) = xrot(2,2)*xrot(3,2) tsigma(6,3) = xrot(2,3)*xrot(3,3) tsigma(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2) tsigma(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2) tsigma(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1) ! tsigma(5,1) = xrot(3,1)*xrot(1,1) tsigma(5,2) = xrot(3,2)*xrot(1,2) tsigma(5,3) = xrot(3,3)*xrot(1,3) tsigma(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2) tsigma(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3) tsigma(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3) ! return end subroutine rotord4sig ! ! ! ************************************************* ! * Build 4th order rotation matrix (tstran) * ! ************************************************* ! valid for symmetric tensors subroutine rotord4str(xrot,tstran) implicit none real(8), intent(in) :: xrot(3,3) real(8), intent(out) :: tstran(6,6) ! tstran(1,1) = xrot(1,1)*xrot(1,1) tstran(1,2) = xrot(1,2)*xrot(1,2) tstran(1,3) = xrot(1,3)*xrot(1,3) tstran(1,4) = xrot(1,1)*xrot(1,2) tstran(1,6) = xrot(1,2)*xrot(1,3) tstran(1,5) = xrot(1,3)*xrot(1,1) ! tstran(2,1) = xrot(2,1)*xrot(2,1) tstran(2,2) = xrot(2,2)*xrot(2,2) tstran(2,3) = xrot(2,3)*xrot(2,3) tstran(2,4) = xrot(2,1)*xrot(2,2) tstran(2,6) = xrot(2,2)*xrot(2,3) tstran(2,5) = xrot(2,3)*xrot(2,1) ! tstran(3,1) = xrot(3,1)*xrot(3,1) tstran(3,2) = xrot(3,2)*xrot(3,2) tstran(3,3) = xrot(3,3)*xrot(3,3) tstran(3,4) = xrot(3,1)*xrot(3,2) tstran(3,6) = xrot(3,2)*xrot(3,3) tstran(3,5) = xrot(3,3)*xrot(3,1) ! tstran(4,1) = 2.*xrot(1,1)*xrot(2,1) tstran(4,2) = 2.*xrot(1,2)*xrot(2,2) tstran(4,3) = 2.*xrot(1,3)*xrot(2,3) tstran(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1) tstran(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3) tstran(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1) ! tstran(6,1) = 2.*xrot(2,1)*xrot(3,1) tstran(6,2) = 2.*xrot(2,2)*xrot(3,2) tstran(6,3) = 2.*xrot(2,3)*xrot(3,3) tstran(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2) tstran(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2) tstran(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1) ! tstran(5,1) = 2.*xrot(3,1)*xrot(1,1) tstran(5,2) = 2.*xrot(3,2)*xrot(1,2) tstran(5,3) = 2.*xrot(3,3)*xrot(1,3) tstran(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2) tstran(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3) tstran(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3) ! return end subroutine rotord4str ! ! ! *************************************************************** ! * Build 4th order lower (and upper) tensor product * ! * NB: When contracted from 4th to the format used for * ! * C-matrix, it turns out that the upper and lower products * ! * are the same! * ! *************************************************************** ! valid for symmetric tensors subroutine ltprod(a,b,c) implicit none real(8), intent(in) :: a(3,3), b(3,3) real(8), intent(out) :: c(6,6) integer :: i, j ! c = 0. c(1,1) = 2.*a(1,1)*b(1,1) c(1,2) = 2.*a(1,2)*b(1,2) c(1,3) = 2.*a(1,3)*b(1,3) c(1,4) = a(1,1)*b(1,2)+a(1,2)*b(1,1) c(1,5) = a(1,1)*b(1,3)+a(1,3)*b(1,1) c(1,6) = a(1,2)*b(1,3)+a(1,3)*b(1,2) ! c(2,2) = 2.*a(2,2)*b(2,2) c(2,3) = 2.*a(2,3)*b(2,3) c(2,4) = a(2,1)*b(2,2)+a(2,2)*b(2,1) c(2,5) = a(2,1)*b(2,3)+a(2,3)*b(2,1) c(2,6) = a(2,2)*b(2,3)+a(2,3)*b(2,2) ! c(3,3) = 2.*a(3,3)*b(3,3) c(3,4) = a(3,1)*b(3,2)+a(3,2)*b(3,1) c(3,5) = a(3,1)*b(3,3)+a(3,3)*b(3,1) c(3,6) = a(3,2)*b(3,3)+a(3,3)*b(3,2) ! c(4,4) = a(1,1)*b(2,2)+a(1,2)*b(2,1) c(4,5) = a(1,1)*b(2,3)+a(1,3)*b(2,1) c(4,6) = a(1,2)*b(2,3)+a(1,3)*b(2,2) ! c(5,5) = a(1,1)*b(3,3)+a(1,3)*b(3,1) c(5,6) = a(1,2)*b(3,3)+a(1,3)*b(3,2) ! c(6,6) = a(2,2)*b(3,3)+a(2,3)*b(3,2) ! do i=2,6 do j=1,i-1 c(i,j)=c(j,i) end do end do ! c = 0.5*c ! return end subroutine ltprod ! ! ! ************************************************** ! * Build 4th order tensor product (kronecker)* ! ************************************************** ! valid for symmetric tensors subroutine tprod(a,b,c) implicit none real(8), intent(in) :: a(3,3), b(3,3) real(8), intent(out) :: c(6,6) integer :: i, j ! c = 0. c(1,1) = 2.*a(1,1)*b(1,1) c(1,2) = 2.*a(1,1)*b(2,2) c(1,3) = 2.*a(1,1)*b(3,3) c(1,4) = a(1,1)*b(1,2)+a(1,1)*b(2,1) c(1,5) = a(1,1)*b(1,3)+a(1,1)*b(3,1) c(1,6) = a(1,1)*b(2,3)+a(1,1)*b(3,2) ! c(2,2) = 2.*a(2,2)*b(2,2) c(2,3) = 2.*a(2,2)*b(3,3) c(2,4) = a(2,2)*b(1,2)+a(2,2)*b(2,1) c(2,5) = a(2,2)*b(1,3)+a(2,2)*b(3,1) c(2,6) = a(2,2)*b(2,3)+a(2,2)*b(3,2) ! c(3,3) = 2.*a(3,3)*b(3,3) c(3,4) = a(3,3)*b(1,2)+a(3,3)*b(2,1) c(3,5) = a(3,3)*b(1,3)+a(3,3)*b(3,1) c(3,6) = a(3,3)*b(2,3)+a(3,3)*b(3,2) ! c(4,4) = a(1,2)*b(1,2)+a(1,2)*b(2,1) c(4,5) = a(1,2)*b(1,3)+a(1,2)*b(3,1) c(4,6) = a(1,2)*b(2,3)+a(1,2)*b(3,2) ! c(5,5) = a(1,3)*b(1,3)+a(1,3)*b(3,1) c(5,6) = a(1,3)*b(2,3)+a(1,3)*b(3,2) ! c(6,6) = a(2,3)*b(2,3)+a(2,3)*b(3,2) ! do i=2,6 do j=1,i-1 c(i,j)=c(j,i) end do end do ! c = 0.5*c ! return end subroutine tprod ! ! ! ! ************************************** ! * MULTIPLY 3x3 MATRICES * ! ************************************** subroutine mmult(dm1,dm2,dm) implicit none real(8), intent(in) :: dm1(3,3), dm2(3,3) real(8), intent(out) :: dm(3,3) integer :: i, j, k real(8) :: x ! ! do i=1,3 do j=1,3 x=0.0 do k=1,3 x=x+dm1(i,k)*dm2(k,j) end do dm(i,j)=x end do end do ! return end subroutine mmult ! ! ! This subroutine inverts a 3x3 matrix ! INPUT: Matrix --- A(3,3) ! OUTPUT: Invereted matrix, determinant --- invA(3,3),det subroutine inv3x3(A,invA,det) use globalvariables, only: smallnum implicit none real(8), intent(in) :: A(3,3) real(8), intent(out) :: invA(3,3), det integer :: i,j ! ! ! First calculate the determinant call deter3x3(A,det) ! If the determinant is greater than certain value if (abs(det) < smallnum) then invA=0.0d+0 else invA(1,1)=((A(2,2)*A(3,3))-(A(2,3)*A(3,2)))/det invA(2,1)=-((A(2,1)*A(3,3))-(A(2,3)*A(3,1)))/det invA(3,1)=((A(2,1)*A(3,2))-(A(2,2)*A(3,1)))/det invA(1,2)=-((A(1,2)*A(3,3))-(A(1,3)*A(3,2)))/det invA(2,2)=((A(1,1)*A(3,3))-(A(1,3)*A(3,1)))/det invA(3,2)=-((A(1,1)*A(3,2))-(A(1,2)*A(3,1)))/det invA(1,3)=((A(1,2)*A(2,3))-(A(1,3)*A(2,2)))/det invA(2,3)=-((A(1,1)*A(2,3))-(A(2,1)*A(1,3)))/det invA(3,3)=((A(1,1)*A(2,2))-(A(1,2)*A(2,1)))/det endif return end subroutine inv3x3 ! ! ! This subroutine inverts a 2x2 matrix ! INPUT: Matrix --- A(2,2) ! OUTPUT: Invereted matrix, determinant --- invA(2,2),det subroutine inv2x2(A,invA,det) use globalvariables, only: smallnum implicit none real(8), intent(in) :: A(2,2) real(8), intent(out) :: invA(2,2), det integer :: i,j ! ! ! First calculate the determinant call deter2x2(A,det) ! If the determinant is greater than certain value if (abs(det) < smallnum) then invA=0.0d+0 else invA(1,1) = A(2,2)/det invA(1,2) =-A(1,2)/det invA(2,1) =-A(2,1)/det invA(2,2) = A(1,1)/det endif return end subroutine inv2x2 ! ! Euler angles to crystal orientation matrix ! INPUT: Angles(deg) --- ang(3) ! OUTPUT: Orientation matrix --- R(3,3) ! USES: Number pi --- pi subroutine Euler2ori(Euler,R) use globalvariables, only : pi implicit none real(8), intent(in) :: Euler(3) real(8), intent(out) :: R(3,3) real(8) :: phi1, phi2, Phi ! ! convert to radians phi1=Euler(1)*pi/180. Phi=Euler(2)*pi/180. phi2=Euler(3)*pi/180. ! ! R=0. R(1,1)=(cos(phi1)*cos(phi2))-(sin(phi1)*sin(phi2)*cos(Phi)) R(2,1)=-(cos(phi1)*sin(phi2))-(sin(phi1)*cos(phi2)*cos(Phi)) R(3,1)=sin(phi1)*sin(Phi) R(1,2)=(sin(phi1)*cos(phi2))+(cos(phi1)*sin(phi2)*cos(Phi)) R(2,2)=-(sin(phi1)*sin(phi2))+(cos(phi1)*cos(phi2)*cos(Phi)) R(3,2)=-cos(phi1)*sin(Phi) R(1,3)=sin(phi2)*sin(Phi) R(2,3)=cos(phi2)*sin(Phi) R(3,3)=cos(Phi) ! return end subroutine Euler2ori ! ! ! Orientation matrix from Euler angles ! INPUT: Orientation matrix --- R(3) ! OUTPUT: Bunge angles(deg) --- ang(3) ! USES: Number pi --- pi subroutine ori2Euler(R,Euler) use globalvariables, only : pi implicit none real(8), intent(in) :: R(3,3) real(8), intent(out) :: Euler(3) real(8) :: phi1, phi2, Phi ! if (R(3,3).eq.1.) then Phi=0. phi1=atan2(R(1,2),R(1,1)) phi2=0. else Phi=acos(R(3,3)) phi1=atan2(R(3,1)/sin(Phi),-R(3,2)/sin(Phi)) phi2=atan2(R(1,3)/sin(Phi),R(2,3)/sin(Phi)) endif Euler(1)=phi1 Euler(2)=Phi Euler(3)=phi2 ! convert to degrees Euler=Euler*180./pi ! return end subroutine ori2Euler ! ! ! This subroutine calculates inverse of a square matrix ! by singular value decomposition subroutine SVDinverse(A,n,invA,err) use globalvariables, only: smallnum implicit none integer n real(8), intent(in) :: A(n,n) real(8), intent(out) :: invA(n,n) integer, intent(out) :: err ! local variables real(8) :: w(n), V(n,n), U(n,n) real(8) :: invS(n,n), tol integer :: i ! ! ! tolerance value tol = sqrt(smallnum) ! U = A ! Singular Value Decomposition call svdcmp(U,n,n,n,n,w,V,err) ! ! subroutine returns ! U = A ! V = V ! S(i,i) = w(i) ! ! Calculate the inverse ! A = U * S * V^T ! invA = V * inv(S) * U^T ! inv(S) is the pseudo inverse 1/w(i) ! ! If there is no error if (err==0) then ! invS = 0. do i = 1, n if (abs(w(i)) > tol) then invS(i,i) = 1. / w(i) end if end do ! Corrected by Alvaro invA = matmul(matmul(V,invS),transpose(U)) ! In case of an error else ! V = 0. invA = 0. ! ! end if ! end subroutine SVDinverse ! ! ! Generalized inverse by singular value decomposition ! Written by Alvaro Martinez 08-03-2023 ! subroutine SVDgeninverse(A,n,m,invA,err) use globalvariables, only: smallnum implicit none integer, intent(in) :: n integer, intent(in) :: m real(8), intent(in) :: A(n,m) real(8), intent(out) :: invA(m,n) integer, intent(out) :: err ! local variables real(8) :: w(m), V(m,m), U(n,m) real(8) :: invS(m,m), tol integer :: i ! ! ! tolerance value tol = sqrt(smallnum) ! U = A ! Singular Value Decomposition call svdcmp(U,n,m,n,m,w,V,err) ! subroutine returns ! U = A ! V = V ! S(i,i) = w(i) ! ! Calculate the inverse ! A = U * S * V^T ! invA = V * inv(S) * U^T ! inv(S) is the pseudo inverse 1/w(i) ! ! If there is no error if (err==0) then invS = 0. do i = 1, m if (abs(w(i)) > tol) then invS(i,i) = 1. / w(i) end if end do ! invA = matmul(matmul(V,invS),transpose(U)) ! In case of an error else ! V = 0. invA = 0. ! ! end if ! end subroutine SVDgeninverse ! ! ! ! Codes for singular value decomposition ! Numerical Recipies in F77 ! https://websites.pmc.ucsc.edu/~fnimmo/eart290c_17/NumericalRecipesinF77.pdf ! ! SVDcmp subroutine ! Given a matrix (1:m,1:n) with physical dimensions mp by np, ! this routine computes its singular value decomposition, ! A = U W VT. The matrix U replaces A on output. The diagonal ! matrix of singular values W is output as a vector w(1:n) ! The matrix V (not the transpose VT) is the output as V(1:n,1:n) ! subroutine svdcmp(A,m,n,mp,np,w,V,err) use errors, only: error implicit none integer, intent(in) :: m,mp,n,np real(8), intent(inout) :: A(mp,np) real(8), intent(out) :: V(np,np), w(np) integer, intent(out) :: err integer, parameter :: nmax=1000 ! uses pythag integer i,its,j,jj,k,l,nm real(8) anorm,c,f,g,h,s,scale,x,y,z,rv1(nmax),pyt ! initialize error flag err=0 ! g=0.0 scale=0.0 anorm=0.0 do 25 i=1,n l=i+1 rv1(i)=scale*g g=0.0 s=0.0 scale=0.0 if(i.le.m)then do 11 k=i,m scale=scale+abs(A(k,i)) 11 continue if(scale.ne.0.0)then do 12 k=i,m A(k,i)=A(k,i)/scale s=s+A(k,i)*A(k,i) 12 continue f=A(i,i) g=-sign(sqrt(s),f) h=f*g-s A(i,i)=f-g do 15 j=l,n s=0.0 do 13 k=i,m s=s+A(k,i)*A(k,j) 13 continue f=s/h do 14 k=i,m A(k,j)=A(k,j)+f*A(k,i) 14 continue 15 continue do 16 k=i,m A(k,i)=scale*A(k,i) 16 continue endif endif w(i)=scale *g g=0.0 s=0.0 scale=0.0 if((i.le.m).and.(i.ne.n))then do 17 k=l,n scale=scale+abs(A(i,k)) 17 continue if(scale.ne.0.0)then do 18 k=l,n A(i,k)=A(i,k)/scale s=s+A(i,k)*A(i,k) 18 continue f=A(i,l) g=-sign(sqrt(s),f) h=f*g-s A(i,l)=f-g do 19 k=l,n rv1(k)=A(i,k)/h 19 continue do 23 j=l,m s=0.0 do 21 k=l,n s=s+A(j,k)*A(i,k) 21 continue do 22 k=l,n A(j,k)=A(j,k)+s*rv1(k) 22 continue 23 continue do 24 k=l,n A(i,k)=scale*A(i,k) 24 continue endif endif anorm=max(anorm,(abs(w(i))+abs(rv1(i)))) 25 continue do 32 i=n,1,-1 if(i.lt.n)then if(g.ne.0.0)then do 26 j=l,n V(j,i)=(A(i,j)/A(i,l))/g 26 continue do 29 j=l,n s=0.0 do 27 k=l,n s=s+A(i,k)*V(k,j) 27 continue do 28 k=l,n V(k,j)=V(k,j)+s*V(k,i) 28 continue 29 continue endif do 31 j=l,n V(i,j)=0.0 V(j,i)=0.0 31 continue endif V(i,i)=1.0 g=rv1(i) l=i 32 continue do 39 i=min(m,n),1,-1 l=i+1 g=w(i) do 33 j=l,n A(i,j)=0.0 33 continue if(g.ne.0.0)then g=1.0/g do 36 j=l,n s=0.0 do 34 k=l,m s=s+A(k,i)*A(k,j) 34 continue f=(s/A(i,i))*g do 35 k=i,m A(k,j)=A(k,j)+f*A(k,i) 35 continue 36 continue do 37 j=i,m A(j,i)=A(j,i)*g 37 continue else do 38 j= i,m A(j,i)=0.0 38 continue endif A(i,i)=A(i,i)+1.0 39 continue do 49 k=n,1,-1 do 48 its=1,30 do 41 l=k,1,-1 nm=l-1 if((abs(rv1(l))+anorm).eq.anorm) goto 2 if((abs(w(nm))+anorm).eq.anorm) goto 1 41 continue 1 c=0.0 s=1.0 do 43 i=l,k f=s*rv1(i) rv1(i)=c*rv1(i) if((abs(f)+anorm).eq.anorm) goto 2 g=w(i) call pythag(f,g,h) w(i)=h h=1.0/h c= (g*h) s=-(f*h) do 42 j=1,m y=A(j,nm) z=A(j,i) A(j,nm)=(y*c)+(z*s) A(j,i)=-(y*s)+(z*c) 42 continue 43 continue 2 z=w(k) if(l.eq.k)then if(z.lt.0.0)then w(k)=-z do 44 j=1,n V(j,k)=-V(j,k) 44 continue endif goto 3 endif if(its.eq.30) then !pause 'no convergence in svdcmp' err=1 endif x=w(l) nm=k-1 y=w(nm) g=rv1(nm) h=rv1(k) f=((y-z)*(y+z)+(g-h)*(g+h))/(2.0*h*y) call pythag(f,1.0d+0,g) f=((x-z)*(x+z)+h*((y/(f+sign(g,f)))-h))/x c=1.0 s=1.0 do 47 j=l,nm i=j+1 g=rv1(i) y=w(i) h=s*g g=c*g call pythag(f,h,z) rv1(j)=z c=f/z s=h/z f= (x*c)+(g*s) g=-(x*s)+(g*c) h=y*s y=y*c do 45 jj=1,n x=V(jj,j) z=V(jj,i) V(jj,j)= (x*c)+(z*s) V(jj,i)=-(x*s)+(z*c) 45 continue call pythag(f,h,z) w(j)=z if(z.ne.0.0)then z=1.0/z c=f*z s=h*z endif f= (c*g)+(s*y) x=-(s*g)+(c*y) do 46 jj=1,m y=A(jj,j) z=A(jj,i) A(jj,j)= (y*c)+(z*s) A(jj,i)=-(y*s)+(z*c) 46 continue 47 continue rv1(l)=0.0 rv1(k)=f w(k)=x 48 continue 3 continue 49 continue return end subroutine svdcmp ! (C) Copr. 1986-92 Numerical Recipes Software ! ! ! ! ! ! subroutine pythag(a,b,pyt) implicit none real(8), intent(in):: a,b real(8), intent(out):: pyt real(8) absa,absb absa=abs(a) absb=abs(b) if(absa.gt.absb)then pyt=absa*sqrt(1.+(absb/absa)**2) else if(absb.eq.0.)then pyt=0. else pyt=absb*sqrt(1.+(absa/absb)**2) endif endif return end subroutine pythag ! 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1944, 0.571428571429, 0.642857142857, 0.571428571429 1945, 0.642857142857, 0.642857142857, 0.571428571429 1946, 0.714285714286, 0.642857142857, 0.571428571429 1947, 0.785714285714, 0.642857142857, 0.571428571429 1948, 0.857142857143, 0.642857142857, 0.571428571429 1949, 0.928571428571, 0.642857142857, 0.571428571429 1950, 1.000000000000, 0.642857142857, 0.571428571429 1951, 0.000000000000, 0.714285714286, 0.571428571429 1952, 0.071428571429, 0.714285714286, 0.571428571429 1953, 0.142857142857, 0.714285714286, 0.571428571429 1954, 0.214285714286, 0.714285714286, 0.571428571429 1955, 0.285714285714, 0.714285714286, 0.571428571429 1956, 0.357142857143, 0.714285714286, 0.571428571429 1957, 0.428571428571, 0.714285714286, 0.571428571429 1958, 0.500000000000, 0.714285714286, 0.571428571429 1959, 0.571428571429, 0.714285714286, 0.571428571429 1960, 0.642857142857, 0.714285714286, 0.571428571429 1961, 0.714285714286, 0.714285714286, 0.571428571429 1962, 0.785714285714, 0.714285714286, 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3369, 0.571428571429, 1.000000000000, 1.000000000000 3370, 0.642857142857, 1.000000000000, 1.000000000000 3371, 0.714285714286, 1.000000000000, 1.000000000000 3372, 0.785714285714, 1.000000000000, 1.000000000000 3373, 0.857142857143, 1.000000000000, 1.000000000000 3374, 0.928571428571, 1.000000000000, 1.000000000000 3375, 1.000000000000, 1.000000000000, 1.000000000000 *Element, type=C3D8 1,1, 2, 17, 16, 226, 227, 242, 241 2,2, 3, 18, 17, 227, 228, 243, 242 3,3, 4, 19, 18, 228, 229, 244, 243 4,4, 5, 20, 19, 229, 230, 245, 244 5,5, 6, 21, 20, 230, 231, 246, 245 6,6, 7, 22, 21, 231, 232, 247, 246 7,7, 8, 23, 22, 232, 233, 248, 247 8,8, 9, 24, 23, 233, 234, 249, 248 9,9, 10, 25, 24, 234, 235, 250, 249 10,10, 11, 26, 25, 235, 236, 251, 250 11,11, 12, 27, 26, 236, 237, 252, 251 12,12, 13, 28, 27, 237, 238, 253, 252 13,13, 14, 29, 28, 238, 239, 254, 253 14,14, 15, 30, 29, 239, 240, 255, 254 15,16, 17, 32, 31, 241, 242, 257, 256 16,17, 18, 33, 32, 242, 243, 258, 257 17,18, 19, 34, 33, 243, 244, 259, 258 18,19, 20, 35, 34, 244, 245, 260, 259 19,20, 21, 36, 35, 245, 246, 261, 260 20,21, 22, 37, 36, 246, 247, 262, 261 21,22, 23, 38, 37, 247, 248, 263, 262 22,23, 24, 39, 38, 248, 249, 264, 263 23,24, 25, 40, 39, 249, 250, 265, 264 24,25, 26, 41, 40, 250, 251, 266, 265 25,26, 27, 42, 41, 251, 252, 267, 266 26,27, 28, 43, 42, 252, 253, 268, 267 27,28, 29, 44, 43, 253, 254, 269, 268 28,29, 30, 45, 44, 254, 255, 270, 269 29,31, 32, 47, 46, 256, 257, 272, 271 30,32, 33, 48, 47, 257, 258, 273, 272 31,33, 34, 49, 48, 258, 259, 274, 273 32,34, 35, 50, 49, 259, 260, 275, 274 33,35, 36, 51, 50, 260, 261, 276, 275 34,36, 37, 52, 51, 261, 262, 277, 276 35,37, 38, 53, 52, 262, 263, 278, 277 36,38, 39, 54, 53, 263, 264, 279, 278 37,39, 40, 55, 54, 264, 265, 280, 279 38,40, 41, 56, 55, 265, 266, 281, 280 39,41, 42, 57, 56, 266, 267, 282, 281 40,42, 43, 58, 57, 267, 268, 283, 282 41,43, 44, 59, 58, 268, 269, 284, 283 42,44, 45, 60, 59, 269, 270, 285, 284 43,46, 47, 62, 61, 271, 272, 287, 286 44,47, 48, 63, 62, 272, 273, 288, 287 45,48, 49, 64, 63, 273, 274, 289, 288 46,49, 50, 65, 64, 274, 275, 290, 289 47,50, 51, 66, 65, 275, 276, 291, 290 48,51, 52, 67, 66, 276, 277, 292, 291 49,52, 53, 68, 67, 277, 278, 293, 292 50,53, 54, 69, 68, 278, 279, 294, 293 51,54, 55, 70, 69, 279, 280, 295, 294 52,55, 56, 71, 70, 280, 281, 296, 295 53,56, 57, 72, 71, 281, 282, 297, 296 54,57, 58, 73, 72, 282, 283, 298, 297 55,58, 59, 74, 73, 283, 284, 299, 298 56,59, 60, 75, 74, 284, 285, 300, 299 57,61, 62, 77, 76, 286, 287, 302, 301 58,62, 63, 78, 77, 287, 288, 303, 302 59,63, 64, 79, 78, 288, 289, 304, 303 60,64, 65, 80, 79, 289, 290, 305, 304 61,65, 66, 81, 80, 290, 291, 306, 305 62,66, 67, 82, 81, 291, 292, 307, 306 63,67, 68, 83, 82, 292, 293, 308, 307 64,68, 69, 84, 83, 293, 294, 309, 308 65,69, 70, 85, 84, 294, 295, 310, 309 66,70, 71, 86, 85, 295, 296, 311, 310 67,71, 72, 87, 86, 296, 297, 312, 311 68,72, 73, 88, 87, 297, 298, 313, 312 69,73, 74, 89, 88, 298, 299, 314, 313 70,74, 75, 90, 89, 299, 300, 315, 314 71,76, 77, 92, 91, 301, 302, 317, 316 72,77, 78, 93, 92, 302, 303, 318, 317 73,78, 79, 94, 93, 303, 304, 319, 318 74,79, 80, 95, 94, 304, 305, 320, 319 75,80, 81, 96, 95, 305, 306, 321, 320 76,81, 82, 97, 96, 306, 307, 322, 321 77,82, 83, 98, 97, 307, 308, 323, 322 78,83, 84, 99, 98, 308, 309, 324, 323 79,84, 85, 100, 99, 309, 310, 325, 324 80,85, 86, 101, 100, 310, 311, 326, 325 81,86, 87, 102, 101, 311, 312, 327, 326 82,87, 88, 103, 102, 312, 313, 328, 327 83,88, 89, 104, 103, 313, 314, 329, 328 84,89, 90, 105, 104, 314, 315, 330, 329 85,91, 92, 107, 106, 316, 317, 332, 331 86,92, 93, 108, 107, 317, 318, 333, 332 87,93, 94, 109, 108, 318, 319, 334, 333 88,94, 95, 110, 109, 319, 320, 335, 334 89,95, 96, 111, 110, 320, 321, 336, 335 90,96, 97, 112, 111, 321, 322, 337, 336 91,97, 98, 113, 112, 322, 323, 338, 337 92,98, 99, 114, 113, 323, 324, 339, 338 93,99, 100, 115, 114, 324, 325, 340, 339 94,100, 101, 116, 115, 325, 326, 341, 340 95,101, 102, 117, 116, 326, 327, 342, 341 96,102, 103, 118, 117, 327, 328, 343, 342 97,103, 104, 119, 118, 328, 329, 344, 343 98,104, 105, 120, 119, 329, 330, 345, 344 99,106, 107, 122, 121, 331, 332, 347, 346 100,107, 108, 123, 122, 332, 333, 348, 347 101,108, 109, 124, 123, 333, 334, 349, 348 102,109, 110, 125, 124, 334, 335, 350, 349 103,110, 111, 126, 125, 335, 336, 351, 350 104,111, 112, 127, 126, 336, 337, 352, 351 105,112, 113, 128, 127, 337, 338, 353, 352 106,113, 114, 129, 128, 338, 339, 354, 353 107,114, 115, 130, 129, 339, 340, 355, 354 108,115, 116, 131, 130, 340, 341, 356, 355 109,116, 117, 132, 131, 341, 342, 357, 356 110,117, 118, 133, 132, 342, 343, 358, 357 111,118, 119, 134, 133, 343, 344, 359, 358 112,119, 120, 135, 134, 344, 345, 360, 359 113,121, 122, 137, 136, 346, 347, 362, 361 114,122, 123, 138, 137, 347, 348, 363, 362 115,123, 124, 139, 138, 348, 349, 364, 363 116,124, 125, 140, 139, 349, 350, 365, 364 117,125, 126, 141, 140, 350, 351, 366, 365 118,126, 127, 142, 141, 351, 352, 367, 366 119,127, 128, 143, 142, 352, 353, 368, 367 120,128, 129, 144, 143, 353, 354, 369, 368 121,129, 130, 145, 144, 354, 355, 370, 369 122,130, 131, 146, 145, 355, 356, 371, 370 123,131, 132, 147, 146, 356, 357, 372, 371 124,132, 133, 148, 147, 357, 358, 373, 372 125,133, 134, 149, 148, 358, 359, 374, 373 126,134, 135, 150, 149, 359, 360, 375, 374 127,136, 137, 152, 151, 361, 362, 377, 376 128,137, 138, 153, 152, 362, 363, 378, 377 129,138, 139, 154, 153, 363, 364, 379, 378 130,139, 140, 155, 154, 364, 365, 380, 379 131,140, 141, 156, 155, 365, 366, 381, 380 132,141, 142, 157, 156, 366, 367, 382, 381 133,142, 143, 158, 157, 367, 368, 383, 382 134,143, 144, 159, 158, 368, 369, 384, 383 135,144, 145, 160, 159, 369, 370, 385, 384 136,145, 146, 161, 160, 370, 371, 386, 385 137,146, 147, 162, 161, 371, 372, 387, 386 138,147, 148, 163, 162, 372, 373, 388, 387 139,148, 149, 164, 163, 373, 374, 389, 388 140,149, 150, 165, 164, 374, 375, 390, 389 141,151, 152, 167, 166, 376, 377, 392, 391 142,152, 153, 168, 167, 377, 378, 393, 392 143,153, 154, 169, 168, 378, 379, 394, 393 144,154, 155, 170, 169, 379, 380, 395, 394 145,155, 156, 171, 170, 380, 381, 396, 395 146,156, 157, 172, 171, 381, 382, 397, 396 147,157, 158, 173, 172, 382, 383, 398, 397 148,158, 159, 174, 173, 383, 384, 399, 398 149,159, 160, 175, 174, 384, 385, 400, 399 150,160, 161, 176, 175, 385, 386, 401, 400 151,161, 162, 177, 176, 386, 387, 402, 401 152,162, 163, 178, 177, 387, 388, 403, 402 153,163, 164, 179, 178, 388, 389, 404, 403 154,164, 165, 180, 179, 389, 390, 405, 404 155,166, 167, 182, 181, 391, 392, 407, 406 156,167, 168, 183, 182, 392, 393, 408, 407 157,168, 169, 184, 183, 393, 394, 409, 408 158,169, 170, 185, 184, 394, 395, 410, 409 159,170, 171, 186, 185, 395, 396, 411, 410 160,171, 172, 187, 186, 396, 397, 412, 411 161,172, 173, 188, 187, 397, 398, 413, 412 162,173, 174, 189, 188, 398, 399, 414, 413 163,174, 175, 190, 189, 399, 400, 415, 414 164,175, 176, 191, 190, 400, 401, 416, 415 165,176, 177, 192, 191, 401, 402, 417, 416 166,177, 178, 193, 192, 402, 403, 418, 417 167,178, 179, 194, 193, 403, 404, 419, 418 168,179, 180, 195, 194, 404, 405, 420, 419 169,181, 182, 197, 196, 406, 407, 422, 421 170,182, 183, 198, 197, 407, 408, 423, 422 171,183, 184, 199, 198, 408, 409, 424, 423 172,184, 185, 200, 199, 409, 410, 425, 424 173,185, 186, 201, 200, 410, 411, 426, 425 174,186, 187, 202, 201, 411, 412, 427, 426 175,187, 188, 203, 202, 412, 413, 428, 427 176,188, 189, 204, 203, 413, 414, 429, 428 177,189, 190, 205, 204, 414, 415, 430, 429 178,190, 191, 206, 205, 415, 416, 431, 430 179,191, 192, 207, 206, 416, 417, 432, 431 180,192, 193, 208, 207, 417, 418, 433, 432 181,193, 194, 209, 208, 418, 419, 434, 433 182,194, 195, 210, 209, 419, 420, 435, 434 183,196, 197, 212, 211, 421, 422, 437, 436 184,197, 198, 213, 212, 422, 423, 438, 437 185,198, 199, 214, 213, 423, 424, 439, 438 186,199, 200, 215, 214, 424, 425, 440, 439 187,200, 201, 216, 215, 425, 426, 441, 440 188,201, 202, 217, 216, 426, 427, 442, 441 189,202, 203, 218, 217, 427, 428, 443, 442 190,203, 204, 219, 218, 428, 429, 444, 443 191,204, 205, 220, 219, 429, 430, 445, 444 192,205, 206, 221, 220, 430, 431, 446, 445 193,206, 207, 222, 221, 431, 432, 447, 446 194,207, 208, 223, 222, 432, 433, 448, 447 195,208, 209, 224, 223, 433, 434, 449, 448 196,209, 210, 225, 224, 434, 435, 450, 449 197,226, 227, 242, 241, 451, 452, 467, 466 198,227, 228, 243, 242, 452, 453, 468, 467 199,228, 229, 244, 243, 453, 454, 469, 468 200,229, 230, 245, 244, 454, 455, 470, 469 201,230, 231, 246, 245, 455, 456, 471, 470 202,231, 232, 247, 246, 456, 457, 472, 471 203,232, 233, 248, 247, 457, 458, 473, 472 204,233, 234, 249, 248, 458, 459, 474, 473 205,234, 235, 250, 249, 459, 460, 475, 474 206,235, 236, 251, 250, 460, 461, 476, 475 207,236, 237, 252, 251, 461, 462, 477, 476 208,237, 238, 253, 252, 462, 463, 478, 477 209,238, 239, 254, 253, 463, 464, 479, 478 210,239, 240, 255, 254, 464, 465, 480, 479 211,241, 242, 257, 256, 466, 467, 482, 481 212,242, 243, 258, 257, 467, 468, 483, 482 213,243, 244, 259, 258, 468, 469, 484, 483 214,244, 245, 260, 259, 469, 470, 485, 484 215,245, 246, 261, 260, 470, 471, 486, 485 216,246, 247, 262, 261, 471, 472, 487, 486 217,247, 248, 263, 262, 472, 473, 488, 487 218,248, 249, 264, 263, 473, 474, 489, 488 219,249, 250, 265, 264, 474, 475, 490, 489 220,250, 251, 266, 265, 475, 476, 491, 490 221,251, 252, 267, 266, 476, 477, 492, 491 222,252, 253, 268, 267, 477, 478, 493, 492 223,253, 254, 269, 268, 478, 479, 494, 493 224,254, 255, 270, 269, 479, 480, 495, 494 225,256, 257, 272, 271, 481, 482, 497, 496 226,257, 258, 273, 272, 482, 483, 498, 497 227,258, 259, 274, 273, 483, 484, 499, 498 228,259, 260, 275, 274, 484, 485, 500, 499 229,260, 261, 276, 275, 485, 486, 501, 500 230,261, 262, 277, 276, 486, 487, 502, 501 231,262, 263, 278, 277, 487, 488, 503, 502 232,263, 264, 279, 278, 488, 489, 504, 503 233,264, 265, 280, 279, 489, 490, 505, 504 234,265, 266, 281, 280, 490, 491, 506, 505 235,266, 267, 282, 281, 491, 492, 507, 506 236,267, 268, 283, 282, 492, 493, 508, 507 237,268, 269, 284, 283, 493, 494, 509, 508 238,269, 270, 285, 284, 494, 495, 510, 509 239,271, 272, 287, 286, 496, 497, 512, 511 240,272, 273, 288, 287, 497, 498, 513, 512 241,273, 274, 289, 288, 498, 499, 514, 513 242,274, 275, 290, 289, 499, 500, 515, 514 243,275, 276, 291, 290, 500, 501, 516, 515 244,276, 277, 292, 291, 501, 502, 517, 516 245,277, 278, 293, 292, 502, 503, 518, 517 246,278, 279, 294, 293, 503, 504, 519, 518 247,279, 280, 295, 294, 504, 505, 520, 519 248,280, 281, 296, 295, 505, 506, 521, 520 249,281, 282, 297, 296, 506, 507, 522, 521 250,282, 283, 298, 297, 507, 508, 523, 522 251,283, 284, 299, 298, 508, 509, 524, 523 252,284, 285, 300, 299, 509, 510, 525, 524 253,286, 287, 302, 301, 511, 512, 527, 526 254,287, 288, 303, 302, 512, 513, 528, 527 255,288, 289, 304, 303, 513, 514, 529, 528 256,289, 290, 305, 304, 514, 515, 530, 529 257,290, 291, 306, 305, 515, 516, 531, 530 258,291, 292, 307, 306, 516, 517, 532, 531 259,292, 293, 308, 307, 517, 518, 533, 532 260,293, 294, 309, 308, 518, 519, 534, 533 261,294, 295, 310, 309, 519, 520, 535, 534 262,295, 296, 311, 310, 520, 521, 536, 535 263,296, 297, 312, 311, 521, 522, 537, 536 264,297, 298, 313, 312, 522, 523, 538, 537 265,298, 299, 314, 313, 523, 524, 539, 538 266,299, 300, 315, 314, 524, 525, 540, 539 267,301, 302, 317, 316, 526, 527, 542, 541 268,302, 303, 318, 317, 527, 528, 543, 542 269,303, 304, 319, 318, 528, 529, 544, 543 270,304, 305, 320, 319, 529, 530, 545, 544 271,305, 306, 321, 320, 530, 531, 546, 545 272,306, 307, 322, 321, 531, 532, 547, 546 273,307, 308, 323, 322, 532, 533, 548, 547 274,308, 309, 324, 323, 533, 534, 549, 548 275,309, 310, 325, 324, 534, 535, 550, 549 276,310, 311, 326, 325, 535, 536, 551, 550 277,311, 312, 327, 326, 536, 537, 552, 551 278,312, 313, 328, 327, 537, 538, 553, 552 279,313, 314, 329, 328, 538, 539, 554, 553 280,314, 315, 330, 329, 539, 540, 555, 554 281,316, 317, 332, 331, 541, 542, 557, 556 282,317, 318, 333, 332, 542, 543, 558, 557 283,318, 319, 334, 333, 543, 544, 559, 558 284,319, 320, 335, 334, 544, 545, 560, 559 285,320, 321, 336, 335, 545, 546, 561, 560 286,321, 322, 337, 336, 546, 547, 562, 561 287,322, 323, 338, 337, 547, 548, 563, 562 288,323, 324, 339, 338, 548, 549, 564, 563 289,324, 325, 340, 339, 549, 550, 565, 564 290,325, 326, 341, 340, 550, 551, 566, 565 291,326, 327, 342, 341, 551, 552, 567, 566 292,327, 328, 343, 342, 552, 553, 568, 567 293,328, 329, 344, 343, 553, 554, 569, 568 294,329, 330, 345, 344, 554, 555, 570, 569 295,331, 332, 347, 346, 556, 557, 572, 571 296,332, 333, 348, 347, 557, 558, 573, 572 297,333, 334, 349, 348, 558, 559, 574, 573 298,334, 335, 350, 349, 559, 560, 575, 574 299,335, 336, 351, 350, 560, 561, 576, 575 300,336, 337, 352, 351, 561, 562, 577, 576 301,337, 338, 353, 352, 562, 563, 578, 577 302,338, 339, 354, 353, 563, 564, 579, 578 303,339, 340, 355, 354, 564, 565, 580, 579 304,340, 341, 356, 355, 565, 566, 581, 580 305,341, 342, 357, 356, 566, 567, 582, 581 306,342, 343, 358, 357, 567, 568, 583, 582 307,343, 344, 359, 358, 568, 569, 584, 583 308,344, 345, 360, 359, 569, 570, 585, 584 309,346, 347, 362, 361, 571, 572, 587, 586 310,347, 348, 363, 362, 572, 573, 588, 587 311,348, 349, 364, 363, 573, 574, 589, 588 312,349, 350, 365, 364, 574, 575, 590, 589 313,350, 351, 366, 365, 575, 576, 591, 590 314,351, 352, 367, 366, 576, 577, 592, 591 315,352, 353, 368, 367, 577, 578, 593, 592 316,353, 354, 369, 368, 578, 579, 594, 593 317,354, 355, 370, 369, 579, 580, 595, 594 318,355, 356, 371, 370, 580, 581, 596, 595 319,356, 357, 372, 371, 581, 582, 597, 596 320,357, 358, 373, 372, 582, 583, 598, 597 321,358, 359, 374, 373, 583, 584, 599, 598 322,359, 360, 375, 374, 584, 585, 600, 599 323,361, 362, 377, 376, 586, 587, 602, 601 324,362, 363, 378, 377, 587, 588, 603, 602 325,363, 364, 379, 378, 588, 589, 604, 603 326,364, 365, 380, 379, 589, 590, 605, 604 327,365, 366, 381, 380, 590, 591, 606, 605 328,366, 367, 382, 381, 591, 592, 607, 606 329,367, 368, 383, 382, 592, 593, 608, 607 330,368, 369, 384, 383, 593, 594, 609, 608 331,369, 370, 385, 384, 594, 595, 610, 609 332,370, 371, 386, 385, 595, 596, 611, 610 333,371, 372, 387, 386, 596, 597, 612, 611 334,372, 373, 388, 387, 597, 598, 613, 612 335,373, 374, 389, 388, 598, 599, 614, 613 336,374, 375, 390, 389, 599, 600, 615, 614 337,376, 377, 392, 391, 601, 602, 617, 616 338,377, 378, 393, 392, 602, 603, 618, 617 339,378, 379, 394, 393, 603, 604, 619, 618 340,379, 380, 395, 394, 604, 605, 620, 619 341,380, 381, 396, 395, 605, 606, 621, 620 342,381, 382, 397, 396, 606, 607, 622, 621 343,382, 383, 398, 397, 607, 608, 623, 622 344,383, 384, 399, 398, 608, 609, 624, 623 345,384, 385, 400, 399, 609, 610, 625, 624 346,385, 386, 401, 400, 610, 611, 626, 625 347,386, 387, 402, 401, 611, 612, 627, 626 348,387, 388, 403, 402, 612, 613, 628, 627 349,388, 389, 404, 403, 613, 614, 629, 628 350,389, 390, 405, 404, 614, 615, 630, 629 351,391, 392, 407, 406, 616, 617, 632, 631 352,392, 393, 408, 407, 617, 618, 633, 632 353,393, 394, 409, 408, 618, 619, 634, 633 354,394, 395, 410, 409, 619, 620, 635, 634 355,395, 396, 411, 410, 620, 621, 636, 635 356,396, 397, 412, 411, 621, 622, 637, 636 357,397, 398, 413, 412, 622, 623, 638, 637 358,398, 399, 414, 413, 623, 624, 639, 638 359,399, 400, 415, 414, 624, 625, 640, 639 360,400, 401, 416, 415, 625, 626, 641, 640 361,401, 402, 417, 416, 626, 627, 642, 641 362,402, 403, 418, 417, 627, 628, 643, 642 363,403, 404, 419, 418, 628, 629, 644, 643 364,404, 405, 420, 419, 629, 630, 645, 644 365,406, 407, 422, 421, 631, 632, 647, 646 366,407, 408, 423, 422, 632, 633, 648, 647 367,408, 409, 424, 423, 633, 634, 649, 648 368,409, 410, 425, 424, 634, 635, 650, 649 369,410, 411, 426, 425, 635, 636, 651, 650 370,411, 412, 427, 426, 636, 637, 652, 651 371,412, 413, 428, 427, 637, 638, 653, 652 372,413, 414, 429, 428, 638, 639, 654, 653 373,414, 415, 430, 429, 639, 640, 655, 654 374,415, 416, 431, 430, 640, 641, 656, 655 375,416, 417, 432, 431, 641, 642, 657, 656 376,417, 418, 433, 432, 642, 643, 658, 657 377,418, 419, 434, 433, 643, 644, 659, 658 378,419, 420, 435, 434, 644, 645, 660, 659 379,421, 422, 437, 436, 646, 647, 662, 661 380,422, 423, 438, 437, 647, 648, 663, 662 381,423, 424, 439, 438, 648, 649, 664, 663 382,424, 425, 440, 439, 649, 650, 665, 664 383,425, 426, 441, 440, 650, 651, 666, 665 384,426, 427, 442, 441, 651, 652, 667, 666 385,427, 428, 443, 442, 652, 653, 668, 667 386,428, 429, 444, 443, 653, 654, 669, 668 387,429, 430, 445, 444, 654, 655, 670, 669 388,430, 431, 446, 445, 655, 656, 671, 670 389,431, 432, 447, 446, 656, 657, 672, 671 390,432, 433, 448, 447, 657, 658, 673, 672 391,433, 434, 449, 448, 658, 659, 674, 673 392,434, 435, 450, 449, 659, 660, 675, 674 393,451, 452, 467, 466, 676, 677, 692, 691 394,452, 453, 468, 467, 677, 678, 693, 692 395,453, 454, 469, 468, 678, 679, 694, 693 396,454, 455, 470, 469, 679, 680, 695, 694 397,455, 456, 471, 470, 680, 681, 696, 695 398,456, 457, 472, 471, 681, 682, 697, 696 399,457, 458, 473, 472, 682, 683, 698, 697 400,458, 459, 474, 473, 683, 684, 699, 698 401,459, 460, 475, 474, 684, 685, 700, 699 402,460, 461, 476, 475, 685, 686, 701, 700 403,461, 462, 477, 476, 686, 687, 702, 701 404,462, 463, 478, 477, 687, 688, 703, 702 405,463, 464, 479, 478, 688, 689, 704, 703 406,464, 465, 480, 479, 689, 690, 705, 704 407,466, 467, 482, 481, 691, 692, 707, 706 408,467, 468, 483, 482, 692, 693, 708, 707 409,468, 469, 484, 483, 693, 694, 709, 708 410,469, 470, 485, 484, 694, 695, 710, 709 411,470, 471, 486, 485, 695, 696, 711, 710 412,471, 472, 487, 486, 696, 697, 712, 711 413,472, 473, 488, 487, 697, 698, 713, 712 414,473, 474, 489, 488, 698, 699, 714, 713 415,474, 475, 490, 489, 699, 700, 715, 714 416,475, 476, 491, 490, 700, 701, 716, 715 417,476, 477, 492, 491, 701, 702, 717, 716 418,477, 478, 493, 492, 702, 703, 718, 717 419,478, 479, 494, 493, 703, 704, 719, 718 420,479, 480, 495, 494, 704, 705, 720, 719 421,481, 482, 497, 496, 706, 707, 722, 721 422,482, 483, 498, 497, 707, 708, 723, 722 423,483, 484, 499, 498, 708, 709, 724, 723 424,484, 485, 500, 499, 709, 710, 725, 724 425,485, 486, 501, 500, 710, 711, 726, 725 426,486, 487, 502, 501, 711, 712, 727, 726 427,487, 488, 503, 502, 712, 713, 728, 727 428,488, 489, 504, 503, 713, 714, 729, 728 429,489, 490, 505, 504, 714, 715, 730, 729 430,490, 491, 506, 505, 715, 716, 731, 730 431,491, 492, 507, 506, 716, 717, 732, 731 432,492, 493, 508, 507, 717, 718, 733, 732 433,493, 494, 509, 508, 718, 719, 734, 733 434,494, 495, 510, 509, 719, 720, 735, 734 435,496, 497, 512, 511, 721, 722, 737, 736 436,497, 498, 513, 512, 722, 723, 738, 737 437,498, 499, 514, 513, 723, 724, 739, 738 438,499, 500, 515, 514, 724, 725, 740, 739 439,500, 501, 516, 515, 725, 726, 741, 740 440,501, 502, 517, 516, 726, 727, 742, 741 441,502, 503, 518, 517, 727, 728, 743, 742 442,503, 504, 519, 518, 728, 729, 744, 743 443,504, 505, 520, 519, 729, 730, 745, 744 444,505, 506, 521, 520, 730, 731, 746, 745 445,506, 507, 522, 521, 731, 732, 747, 746 446,507, 508, 523, 522, 732, 733, 748, 747 447,508, 509, 524, 523, 733, 734, 749, 748 448,509, 510, 525, 524, 734, 735, 750, 749 449,511, 512, 527, 526, 736, 737, 752, 751 450,512, 513, 528, 527, 737, 738, 753, 752 451,513, 514, 529, 528, 738, 739, 754, 753 452,514, 515, 530, 529, 739, 740, 755, 754 453,515, 516, 531, 530, 740, 741, 756, 755 454,516, 517, 532, 531, 741, 742, 757, 756 455,517, 518, 533, 532, 742, 743, 758, 757 456,518, 519, 534, 533, 743, 744, 759, 758 457,519, 520, 535, 534, 744, 745, 760, 759 458,520, 521, 536, 535, 745, 746, 761, 760 459,521, 522, 537, 536, 746, 747, 762, 761 460,522, 523, 538, 537, 747, 748, 763, 762 461,523, 524, 539, 538, 748, 749, 764, 763 462,524, 525, 540, 539, 749, 750, 765, 764 463,526, 527, 542, 541, 751, 752, 767, 766 464,527, 528, 543, 542, 752, 753, 768, 767 465,528, 529, 544, 543, 753, 754, 769, 768 466,529, 530, 545, 544, 754, 755, 770, 769 467,530, 531, 546, 545, 755, 756, 771, 770 468,531, 532, 547, 546, 756, 757, 772, 771 469,532, 533, 548, 547, 757, 758, 773, 772 470,533, 534, 549, 548, 758, 759, 774, 773 471,534, 535, 550, 549, 759, 760, 775, 774 472,535, 536, 551, 550, 760, 761, 776, 775 473,536, 537, 552, 551, 761, 762, 777, 776 474,537, 538, 553, 552, 762, 763, 778, 777 475,538, 539, 554, 553, 763, 764, 779, 778 476,539, 540, 555, 554, 764, 765, 780, 779 477,541, 542, 557, 556, 766, 767, 782, 781 478,542, 543, 558, 557, 767, 768, 783, 782 479,543, 544, 559, 558, 768, 769, 784, 783 480,544, 545, 560, 559, 769, 770, 785, 784 481,545, 546, 561, 560, 770, 771, 786, 785 482,546, 547, 562, 561, 771, 772, 787, 786 483,547, 548, 563, 562, 772, 773, 788, 787 484,548, 549, 564, 563, 773, 774, 789, 788 485,549, 550, 565, 564, 774, 775, 790, 789 486,550, 551, 566, 565, 775, 776, 791, 790 487,551, 552, 567, 566, 776, 777, 792, 791 488,552, 553, 568, 567, 777, 778, 793, 792 489,553, 554, 569, 568, 778, 779, 794, 793 490,554, 555, 570, 569, 779, 780, 795, 794 491,556, 557, 572, 571, 781, 782, 797, 796 492,557, 558, 573, 572, 782, 783, 798, 797 493,558, 559, 574, 573, 783, 784, 799, 798 494,559, 560, 575, 574, 784, 785, 800, 799 495,560, 561, 576, 575, 785, 786, 801, 800 496,561, 562, 577, 576, 786, 787, 802, 801 497,562, 563, 578, 577, 787, 788, 803, 802 498,563, 564, 579, 578, 788, 789, 804, 803 499,564, 565, 580, 579, 789, 790, 805, 804 500,565, 566, 581, 580, 790, 791, 806, 805 501,566, 567, 582, 581, 791, 792, 807, 806 502,567, 568, 583, 582, 792, 793, 808, 807 503,568, 569, 584, 583, 793, 794, 809, 808 504,569, 570, 585, 584, 794, 795, 810, 809 505,571, 572, 587, 586, 796, 797, 812, 811 506,572, 573, 588, 587, 797, 798, 813, 812 507,573, 574, 589, 588, 798, 799, 814, 813 508,574, 575, 590, 589, 799, 800, 815, 814 509,575, 576, 591, 590, 800, 801, 816, 815 510,576, 577, 592, 591, 801, 802, 817, 816 511,577, 578, 593, 592, 802, 803, 818, 817 512,578, 579, 594, 593, 803, 804, 819, 818 513,579, 580, 595, 594, 804, 805, 820, 819 514,580, 581, 596, 595, 805, 806, 821, 820 515,581, 582, 597, 596, 806, 807, 822, 821 516,582, 583, 598, 597, 807, 808, 823, 822 517,583, 584, 599, 598, 808, 809, 824, 823 518,584, 585, 600, 599, 809, 810, 825, 824 519,586, 587, 602, 601, 811, 812, 827, 826 520,587, 588, 603, 602, 812, 813, 828, 827 521,588, 589, 604, 603, 813, 814, 829, 828 522,589, 590, 605, 604, 814, 815, 830, 829 523,590, 591, 606, 605, 815, 816, 831, 830 524,591, 592, 607, 606, 816, 817, 832, 831 525,592, 593, 608, 607, 817, 818, 833, 832 526,593, 594, 609, 608, 818, 819, 834, 833 527,594, 595, 610, 609, 819, 820, 835, 834 528,595, 596, 611, 610, 820, 821, 836, 835 529,596, 597, 612, 611, 821, 822, 837, 836 530,597, 598, 613, 612, 822, 823, 838, 837 531,598, 599, 614, 613, 823, 824, 839, 838 532,599, 600, 615, 614, 824, 825, 840, 839 533,601, 602, 617, 616, 826, 827, 842, 841 534,602, 603, 618, 617, 827, 828, 843, 842 535,603, 604, 619, 618, 828, 829, 844, 843 536,604, 605, 620, 619, 829, 830, 845, 844 537,605, 606, 621, 620, 830, 831, 846, 845 538,606, 607, 622, 621, 831, 832, 847, 846 539,607, 608, 623, 622, 832, 833, 848, 847 540,608, 609, 624, 623, 833, 834, 849, 848 541,609, 610, 625, 624, 834, 835, 850, 849 542,610, 611, 626, 625, 835, 836, 851, 850 543,611, 612, 627, 626, 836, 837, 852, 851 544,612, 613, 628, 627, 837, 838, 853, 852 545,613, 614, 629, 628, 838, 839, 854, 853 546,614, 615, 630, 629, 839, 840, 855, 854 547,616, 617, 632, 631, 841, 842, 857, 856 548,617, 618, 633, 632, 842, 843, 858, 857 549,618, 619, 634, 633, 843, 844, 859, 858 550,619, 620, 635, 634, 844, 845, 860, 859 551,620, 621, 636, 635, 845, 846, 861, 860 552,621, 622, 637, 636, 846, 847, 862, 861 553,622, 623, 638, 637, 847, 848, 863, 862 554,623, 624, 639, 638, 848, 849, 864, 863 555,624, 625, 640, 639, 849, 850, 865, 864 556,625, 626, 641, 640, 850, 851, 866, 865 557,626, 627, 642, 641, 851, 852, 867, 866 558,627, 628, 643, 642, 852, 853, 868, 867 559,628, 629, 644, 643, 853, 854, 869, 868 560,629, 630, 645, 644, 854, 855, 870, 869 561,631, 632, 647, 646, 856, 857, 872, 871 562,632, 633, 648, 647, 857, 858, 873, 872 563,633, 634, 649, 648, 858, 859, 874, 873 564,634, 635, 650, 649, 859, 860, 875, 874 565,635, 636, 651, 650, 860, 861, 876, 875 566,636, 637, 652, 651, 861, 862, 877, 876 567,637, 638, 653, 652, 862, 863, 878, 877 568,638, 639, 654, 653, 863, 864, 879, 878 569,639, 640, 655, 654, 864, 865, 880, 879 570,640, 641, 656, 655, 865, 866, 881, 880 571,641, 642, 657, 656, 866, 867, 882, 881 572,642, 643, 658, 657, 867, 868, 883, 882 573,643, 644, 659, 658, 868, 869, 884, 883 574,644, 645, 660, 659, 869, 870, 885, 884 575,646, 647, 662, 661, 871, 872, 887, 886 576,647, 648, 663, 662, 872, 873, 888, 887 577,648, 649, 664, 663, 873, 874, 889, 888 578,649, 650, 665, 664, 874, 875, 890, 889 579,650, 651, 666, 665, 875, 876, 891, 890 580,651, 652, 667, 666, 876, 877, 892, 891 581,652, 653, 668, 667, 877, 878, 893, 892 582,653, 654, 669, 668, 878, 879, 894, 893 583,654, 655, 670, 669, 879, 880, 895, 894 584,655, 656, 671, 670, 880, 881, 896, 895 585,656, 657, 672, 671, 881, 882, 897, 896 586,657, 658, 673, 672, 882, 883, 898, 897 587,658, 659, 674, 673, 883, 884, 899, 898 588,659, 660, 675, 674, 884, 885, 900, 899 589,676, 677, 692, 691, 901, 902, 917, 916 590,677, 678, 693, 692, 902, 903, 918, 917 591,678, 679, 694, 693, 903, 904, 919, 918 592,679, 680, 695, 694, 904, 905, 920, 919 593,680, 681, 696, 695, 905, 906, 921, 920 594,681, 682, 697, 696, 906, 907, 922, 921 595,682, 683, 698, 697, 907, 908, 923, 922 596,683, 684, 699, 698, 908, 909, 924, 923 597,684, 685, 700, 699, 909, 910, 925, 924 598,685, 686, 701, 700, 910, 911, 926, 925 599,686, 687, 702, 701, 911, 912, 927, 926 600,687, 688, 703, 702, 912, 913, 928, 927 601,688, 689, 704, 703, 913, 914, 929, 928 602,689, 690, 705, 704, 914, 915, 930, 929 603,691, 692, 707, 706, 916, 917, 932, 931 604,692, 693, 708, 707, 917, 918, 933, 932 605,693, 694, 709, 708, 918, 919, 934, 933 606,694, 695, 710, 709, 919, 920, 935, 934 607,695, 696, 711, 710, 920, 921, 936, 935 608,696, 697, 712, 711, 921, 922, 937, 936 609,697, 698, 713, 712, 922, 923, 938, 937 610,698, 699, 714, 713, 923, 924, 939, 938 611,699, 700, 715, 714, 924, 925, 940, 939 612,700, 701, 716, 715, 925, 926, 941, 940 613,701, 702, 717, 716, 926, 927, 942, 941 614,702, 703, 718, 717, 927, 928, 943, 942 615,703, 704, 719, 718, 928, 929, 944, 943 616,704, 705, 720, 719, 929, 930, 945, 944 617,706, 707, 722, 721, 931, 932, 947, 946 618,707, 708, 723, 722, 932, 933, 948, 947 619,708, 709, 724, 723, 933, 934, 949, 948 620,709, 710, 725, 724, 934, 935, 950, 949 621,710, 711, 726, 725, 935, 936, 951, 950 622,711, 712, 727, 726, 936, 937, 952, 951 623,712, 713, 728, 727, 937, 938, 953, 952 624,713, 714, 729, 728, 938, 939, 954, 953 625,714, 715, 730, 729, 939, 940, 955, 954 626,715, 716, 731, 730, 940, 941, 956, 955 627,716, 717, 732, 731, 941, 942, 957, 956 628,717, 718, 733, 732, 942, 943, 958, 957 629,718, 719, 734, 733, 943, 944, 959, 958 630,719, 720, 735, 734, 944, 945, 960, 959 631,721, 722, 737, 736, 946, 947, 962, 961 632,722, 723, 738, 737, 947, 948, 963, 962 633,723, 724, 739, 738, 948, 949, 964, 963 634,724, 725, 740, 739, 949, 950, 965, 964 635,725, 726, 741, 740, 950, 951, 966, 965 636,726, 727, 742, 741, 951, 952, 967, 966 637,727, 728, 743, 742, 952, 953, 968, 967 638,728, 729, 744, 743, 953, 954, 969, 968 639,729, 730, 745, 744, 954, 955, 970, 969 640,730, 731, 746, 745, 955, 956, 971, 970 641,731, 732, 747, 746, 956, 957, 972, 971 642,732, 733, 748, 747, 957, 958, 973, 972 643,733, 734, 749, 748, 958, 959, 974, 973 644,734, 735, 750, 749, 959, 960, 975, 974 645,736, 737, 752, 751, 961, 962, 977, 976 646,737, 738, 753, 752, 962, 963, 978, 977 647,738, 739, 754, 753, 963, 964, 979, 978 648,739, 740, 755, 754, 964, 965, 980, 979 649,740, 741, 756, 755, 965, 966, 981, 980 650,741, 742, 757, 756, 966, 967, 982, 981 651,742, 743, 758, 757, 967, 968, 983, 982 652,743, 744, 759, 758, 968, 969, 984, 983 653,744, 745, 760, 759, 969, 970, 985, 984 654,745, 746, 761, 760, 970, 971, 986, 985 655,746, 747, 762, 761, 971, 972, 987, 986 656,747, 748, 763, 762, 972, 973, 988, 987 657,748, 749, 764, 763, 973, 974, 989, 988 658,749, 750, 765, 764, 974, 975, 990, 989 659,751, 752, 767, 766, 976, 977, 992, 991 660,752, 753, 768, 767, 977, 978, 993, 992 661,753, 754, 769, 768, 978, 979, 994, 993 662,754, 755, 770, 769, 979, 980, 995, 994 663,755, 756, 771, 770, 980, 981, 996, 995 664,756, 757, 772, 771, 981, 982, 997, 996 665,757, 758, 773, 772, 982, 983, 998, 997 666,758, 759, 774, 773, 983, 984, 999, 998 667,759, 760, 775, 774, 984, 985, 1000, 999 668,760, 761, 776, 775, 985, 986, 1001, 1000 669,761, 762, 777, 776, 986, 987, 1002, 1001 670,762, 763, 778, 777, 987, 988, 1003, 1002 671,763, 764, 779, 778, 988, 989, 1004, 1003 672,764, 765, 780, 779, 989, 990, 1005, 1004 673,766, 767, 782, 781, 991, 992, 1007, 1006 674,767, 768, 783, 782, 992, 993, 1008, 1007 675,768, 769, 784, 783, 993, 994, 1009, 1008 676,769, 770, 785, 784, 994, 995, 1010, 1009 677,770, 771, 786, 785, 995, 996, 1011, 1010 678,771, 772, 787, 786, 996, 997, 1012, 1011 679,772, 773, 788, 787, 997, 998, 1013, 1012 680,773, 774, 789, 788, 998, 999, 1014, 1013 681,774, 775, 790, 789, 999, 1000, 1015, 1014 682,775, 776, 791, 790, 1000, 1001, 1016, 1015 683,776, 777, 792, 791, 1001, 1002, 1017, 1016 684,777, 778, 793, 792, 1002, 1003, 1018, 1017 685,778, 779, 794, 793, 1003, 1004, 1019, 1018 686,779, 780, 795, 794, 1004, 1005, 1020, 1019 687,781, 782, 797, 796, 1006, 1007, 1022, 1021 688,782, 783, 798, 797, 1007, 1008, 1023, 1022 689,783, 784, 799, 798, 1008, 1009, 1024, 1023 690,784, 785, 800, 799, 1009, 1010, 1025, 1024 691,785, 786, 801, 800, 1010, 1011, 1026, 1025 692,786, 787, 802, 801, 1011, 1012, 1027, 1026 693,787, 788, 803, 802, 1012, 1013, 1028, 1027 694,788, 789, 804, 803, 1013, 1014, 1029, 1028 695,789, 790, 805, 804, 1014, 1015, 1030, 1029 696,790, 791, 806, 805, 1015, 1016, 1031, 1030 697,791, 792, 807, 806, 1016, 1017, 1032, 1031 698,792, 793, 808, 807, 1017, 1018, 1033, 1032 699,793, 794, 809, 808, 1018, 1019, 1034, 1033 700,794, 795, 810, 809, 1019, 1020, 1035, 1034 701,796, 797, 812, 811, 1021, 1022, 1037, 1036 702,797, 798, 813, 812, 1022, 1023, 1038, 1037 703,798, 799, 814, 813, 1023, 1024, 1039, 1038 704,799, 800, 815, 814, 1024, 1025, 1040, 1039 705,800, 801, 816, 815, 1025, 1026, 1041, 1040 706,801, 802, 817, 816, 1026, 1027, 1042, 1041 707,802, 803, 818, 817, 1027, 1028, 1043, 1042 708,803, 804, 819, 818, 1028, 1029, 1044, 1043 709,804, 805, 820, 819, 1029, 1030, 1045, 1044 710,805, 806, 821, 820, 1030, 1031, 1046, 1045 711,806, 807, 822, 821, 1031, 1032, 1047, 1046 712,807, 808, 823, 822, 1032, 1033, 1048, 1047 713,808, 809, 824, 823, 1033, 1034, 1049, 1048 714,809, 810, 825, 824, 1034, 1035, 1050, 1049 715,811, 812, 827, 826, 1036, 1037, 1052, 1051 716,812, 813, 828, 827, 1037, 1038, 1053, 1052 717,813, 814, 829, 828, 1038, 1039, 1054, 1053 718,814, 815, 830, 829, 1039, 1040, 1055, 1054 719,815, 816, 831, 830, 1040, 1041, 1056, 1055 720,816, 817, 832, 831, 1041, 1042, 1057, 1056 721,817, 818, 833, 832, 1042, 1043, 1058, 1057 722,818, 819, 834, 833, 1043, 1044, 1059, 1058 723,819, 820, 835, 834, 1044, 1045, 1060, 1059 724,820, 821, 836, 835, 1045, 1046, 1061, 1060 725,821, 822, 837, 836, 1046, 1047, 1062, 1061 726,822, 823, 838, 837, 1047, 1048, 1063, 1062 727,823, 824, 839, 838, 1048, 1049, 1064, 1063 728,824, 825, 840, 839, 1049, 1050, 1065, 1064 729,826, 827, 842, 841, 1051, 1052, 1067, 1066 730,827, 828, 843, 842, 1052, 1053, 1068, 1067 731,828, 829, 844, 843, 1053, 1054, 1069, 1068 732,829, 830, 845, 844, 1054, 1055, 1070, 1069 733,830, 831, 846, 845, 1055, 1056, 1071, 1070 734,831, 832, 847, 846, 1056, 1057, 1072, 1071 735,832, 833, 848, 847, 1057, 1058, 1073, 1072 736,833, 834, 849, 848, 1058, 1059, 1074, 1073 737,834, 835, 850, 849, 1059, 1060, 1075, 1074 738,835, 836, 851, 850, 1060, 1061, 1076, 1075 739,836, 837, 852, 851, 1061, 1062, 1077, 1076 740,837, 838, 853, 852, 1062, 1063, 1078, 1077 741,838, 839, 854, 853, 1063, 1064, 1079, 1078 742,839, 840, 855, 854, 1064, 1065, 1080, 1079 743,841, 842, 857, 856, 1066, 1067, 1082, 1081 744,842, 843, 858, 857, 1067, 1068, 1083, 1082 745,843, 844, 859, 858, 1068, 1069, 1084, 1083 746,844, 845, 860, 859, 1069, 1070, 1085, 1084 747,845, 846, 861, 860, 1070, 1071, 1086, 1085 748,846, 847, 862, 861, 1071, 1072, 1087, 1086 749,847, 848, 863, 862, 1072, 1073, 1088, 1087 750,848, 849, 864, 863, 1073, 1074, 1089, 1088 751,849, 850, 865, 864, 1074, 1075, 1090, 1089 752,850, 851, 866, 865, 1075, 1076, 1091, 1090 753,851, 852, 867, 866, 1076, 1077, 1092, 1091 754,852, 853, 868, 867, 1077, 1078, 1093, 1092 755,853, 854, 869, 868, 1078, 1079, 1094, 1093 756,854, 855, 870, 869, 1079, 1080, 1095, 1094 757,856, 857, 872, 871, 1081, 1082, 1097, 1096 758,857, 858, 873, 872, 1082, 1083, 1098, 1097 759,858, 859, 874, 873, 1083, 1084, 1099, 1098 760,859, 860, 875, 874, 1084, 1085, 1100, 1099 761,860, 861, 876, 875, 1085, 1086, 1101, 1100 762,861, 862, 877, 876, 1086, 1087, 1102, 1101 763,862, 863, 878, 877, 1087, 1088, 1103, 1102 764,863, 864, 879, 878, 1088, 1089, 1104, 1103 765,864, 865, 880, 879, 1089, 1090, 1105, 1104 766,865, 866, 881, 880, 1090, 1091, 1106, 1105 767,866, 867, 882, 881, 1091, 1092, 1107, 1106 768,867, 868, 883, 882, 1092, 1093, 1108, 1107 769,868, 869, 884, 883, 1093, 1094, 1109, 1108 770,869, 870, 885, 884, 1094, 1095, 1110, 1109 771,871, 872, 887, 886, 1096, 1097, 1112, 1111 772,872, 873, 888, 887, 1097, 1098, 1113, 1112 773,873, 874, 889, 888, 1098, 1099, 1114, 1113 774,874, 875, 890, 889, 1099, 1100, 1115, 1114 775,875, 876, 891, 890, 1100, 1101, 1116, 1115 776,876, 877, 892, 891, 1101, 1102, 1117, 1116 777,877, 878, 893, 892, 1102, 1103, 1118, 1117 778,878, 879, 894, 893, 1103, 1104, 1119, 1118 779,879, 880, 895, 894, 1104, 1105, 1120, 1119 780,880, 881, 896, 895, 1105, 1106, 1121, 1120 781,881, 882, 897, 896, 1106, 1107, 1122, 1121 782,882, 883, 898, 897, 1107, 1108, 1123, 1122 783,883, 884, 899, 898, 1108, 1109, 1124, 1123 784,884, 885, 900, 899, 1109, 1110, 1125, 1124 785,901, 902, 917, 916, 1126, 1127, 1142, 1141 786,902, 903, 918, 917, 1127, 1128, 1143, 1142 787,903, 904, 919, 918, 1128, 1129, 1144, 1143 788,904, 905, 920, 919, 1129, 1130, 1145, 1144 789,905, 906, 921, 920, 1130, 1131, 1146, 1145 790,906, 907, 922, 921, 1131, 1132, 1147, 1146 791,907, 908, 923, 922, 1132, 1133, 1148, 1147 792,908, 909, 924, 923, 1133, 1134, 1149, 1148 793,909, 910, 925, 924, 1134, 1135, 1150, 1149 794,910, 911, 926, 925, 1135, 1136, 1151, 1150 795,911, 912, 927, 926, 1136, 1137, 1152, 1151 796,912, 913, 928, 927, 1137, 1138, 1153, 1152 797,913, 914, 929, 928, 1138, 1139, 1154, 1153 798,914, 915, 930, 929, 1139, 1140, 1155, 1154 799,916, 917, 932, 931, 1141, 1142, 1157, 1156 800,917, 918, 933, 932, 1142, 1143, 1158, 1157 801,918, 919, 934, 933, 1143, 1144, 1159, 1158 802,919, 920, 935, 934, 1144, 1145, 1160, 1159 803,920, 921, 936, 935, 1145, 1146, 1161, 1160 804,921, 922, 937, 936, 1146, 1147, 1162, 1161 805,922, 923, 938, 937, 1147, 1148, 1163, 1162 806,923, 924, 939, 938, 1148, 1149, 1164, 1163 807,924, 925, 940, 939, 1149, 1150, 1165, 1164 808,925, 926, 941, 940, 1150, 1151, 1166, 1165 809,926, 927, 942, 941, 1151, 1152, 1167, 1166 810,927, 928, 943, 942, 1152, 1153, 1168, 1167 811,928, 929, 944, 943, 1153, 1154, 1169, 1168 812,929, 930, 945, 944, 1154, 1155, 1170, 1169 813,931, 932, 947, 946, 1156, 1157, 1172, 1171 814,932, 933, 948, 947, 1157, 1158, 1173, 1172 815,933, 934, 949, 948, 1158, 1159, 1174, 1173 816,934, 935, 950, 949, 1159, 1160, 1175, 1174 817,935, 936, 951, 950, 1160, 1161, 1176, 1175 818,936, 937, 952, 951, 1161, 1162, 1177, 1176 819,937, 938, 953, 952, 1162, 1163, 1178, 1177 820,938, 939, 954, 953, 1163, 1164, 1179, 1178 821,939, 940, 955, 954, 1164, 1165, 1180, 1179 822,940, 941, 956, 955, 1165, 1166, 1181, 1180 823,941, 942, 957, 956, 1166, 1167, 1182, 1181 824,942, 943, 958, 957, 1167, 1168, 1183, 1182 825,943, 944, 959, 958, 1168, 1169, 1184, 1183 826,944, 945, 960, 959, 1169, 1170, 1185, 1184 827,946, 947, 962, 961, 1171, 1172, 1187, 1186 828,947, 948, 963, 962, 1172, 1173, 1188, 1187 829,948, 949, 964, 963, 1173, 1174, 1189, 1188 830,949, 950, 965, 964, 1174, 1175, 1190, 1189 831,950, 951, 966, 965, 1175, 1176, 1191, 1190 832,951, 952, 967, 966, 1176, 1177, 1192, 1191 833,952, 953, 968, 967, 1177, 1178, 1193, 1192 834,953, 954, 969, 968, 1178, 1179, 1194, 1193 835,954, 955, 970, 969, 1179, 1180, 1195, 1194 836,955, 956, 971, 970, 1180, 1181, 1196, 1195 837,956, 957, 972, 971, 1181, 1182, 1197, 1196 838,957, 958, 973, 972, 1182, 1183, 1198, 1197 839,958, 959, 974, 973, 1183, 1184, 1199, 1198 840,959, 960, 975, 974, 1184, 1185, 1200, 1199 841,961, 962, 977, 976, 1186, 1187, 1202, 1201 842,962, 963, 978, 977, 1187, 1188, 1203, 1202 843,963, 964, 979, 978, 1188, 1189, 1204, 1203 844,964, 965, 980, 979, 1189, 1190, 1205, 1204 845,965, 966, 981, 980, 1190, 1191, 1206, 1205 846,966, 967, 982, 981, 1191, 1192, 1207, 1206 847,967, 968, 983, 982, 1192, 1193, 1208, 1207 848,968, 969, 984, 983, 1193, 1194, 1209, 1208 849,969, 970, 985, 984, 1194, 1195, 1210, 1209 850,970, 971, 986, 985, 1195, 1196, 1211, 1210 851,971, 972, 987, 986, 1196, 1197, 1212, 1211 852,972, 973, 988, 987, 1197, 1198, 1213, 1212 853,973, 974, 989, 988, 1198, 1199, 1214, 1213 854,974, 975, 990, 989, 1199, 1200, 1215, 1214 855,976, 977, 992, 991, 1201, 1202, 1217, 1216 856,977, 978, 993, 992, 1202, 1203, 1218, 1217 857,978, 979, 994, 993, 1203, 1204, 1219, 1218 858,979, 980, 995, 994, 1204, 1205, 1220, 1219 859,980, 981, 996, 995, 1205, 1206, 1221, 1220 860,981, 982, 997, 996, 1206, 1207, 1222, 1221 861,982, 983, 998, 997, 1207, 1208, 1223, 1222 862,983, 984, 999, 998, 1208, 1209, 1224, 1223 863,984, 985, 1000, 999, 1209, 1210, 1225, 1224 864,985, 986, 1001, 1000, 1210, 1211, 1226, 1225 865,986, 987, 1002, 1001, 1211, 1212, 1227, 1226 866,987, 988, 1003, 1002, 1212, 1213, 1228, 1227 867,988, 989, 1004, 1003, 1213, 1214, 1229, 1228 868,989, 990, 1005, 1004, 1214, 1215, 1230, 1229 869,991, 992, 1007, 1006, 1216, 1217, 1232, 1231 870,992, 993, 1008, 1007, 1217, 1218, 1233, 1232 871,993, 994, 1009, 1008, 1218, 1219, 1234, 1233 872,994, 995, 1010, 1009, 1219, 1220, 1235, 1234 873,995, 996, 1011, 1010, 1220, 1221, 1236, 1235 874,996, 997, 1012, 1011, 1221, 1222, 1237, 1236 875,997, 998, 1013, 1012, 1222, 1223, 1238, 1237 876,998, 999, 1014, 1013, 1223, 1224, 1239, 1238 877,999, 1000, 1015, 1014, 1224, 1225, 1240, 1239 878,1000, 1001, 1016, 1015, 1225, 1226, 1241, 1240 879,1001, 1002, 1017, 1016, 1226, 1227, 1242, 1241 880,1002, 1003, 1018, 1017, 1227, 1228, 1243, 1242 881,1003, 1004, 1019, 1018, 1228, 1229, 1244, 1243 882,1004, 1005, 1020, 1019, 1229, 1230, 1245, 1244 883,1006, 1007, 1022, 1021, 1231, 1232, 1247, 1246 884,1007, 1008, 1023, 1022, 1232, 1233, 1248, 1247 885,1008, 1009, 1024, 1023, 1233, 1234, 1249, 1248 886,1009, 1010, 1025, 1024, 1234, 1235, 1250, 1249 887,1010, 1011, 1026, 1025, 1235, 1236, 1251, 1250 888,1011, 1012, 1027, 1026, 1236, 1237, 1252, 1251 889,1012, 1013, 1028, 1027, 1237, 1238, 1253, 1252 890,1013, 1014, 1029, 1028, 1238, 1239, 1254, 1253 891,1014, 1015, 1030, 1029, 1239, 1240, 1255, 1254 892,1015, 1016, 1031, 1030, 1240, 1241, 1256, 1255 893,1016, 1017, 1032, 1031, 1241, 1242, 1257, 1256 894,1017, 1018, 1033, 1032, 1242, 1243, 1258, 1257 895,1018, 1019, 1034, 1033, 1243, 1244, 1259, 1258 896,1019, 1020, 1035, 1034, 1244, 1245, 1260, 1259 897,1021, 1022, 1037, 1036, 1246, 1247, 1262, 1261 898,1022, 1023, 1038, 1037, 1247, 1248, 1263, 1262 899,1023, 1024, 1039, 1038, 1248, 1249, 1264, 1263 900,1024, 1025, 1040, 1039, 1249, 1250, 1265, 1264 901,1025, 1026, 1041, 1040, 1250, 1251, 1266, 1265 902,1026, 1027, 1042, 1041, 1251, 1252, 1267, 1266 903,1027, 1028, 1043, 1042, 1252, 1253, 1268, 1267 904,1028, 1029, 1044, 1043, 1253, 1254, 1269, 1268 905,1029, 1030, 1045, 1044, 1254, 1255, 1270, 1269 906,1030, 1031, 1046, 1045, 1255, 1256, 1271, 1270 907,1031, 1032, 1047, 1046, 1256, 1257, 1272, 1271 908,1032, 1033, 1048, 1047, 1257, 1258, 1273, 1272 909,1033, 1034, 1049, 1048, 1258, 1259, 1274, 1273 910,1034, 1035, 1050, 1049, 1259, 1260, 1275, 1274 911,1036, 1037, 1052, 1051, 1261, 1262, 1277, 1276 912,1037, 1038, 1053, 1052, 1262, 1263, 1278, 1277 913,1038, 1039, 1054, 1053, 1263, 1264, 1279, 1278 914,1039, 1040, 1055, 1054, 1264, 1265, 1280, 1279 915,1040, 1041, 1056, 1055, 1265, 1266, 1281, 1280 916,1041, 1042, 1057, 1056, 1266, 1267, 1282, 1281 917,1042, 1043, 1058, 1057, 1267, 1268, 1283, 1282 918,1043, 1044, 1059, 1058, 1268, 1269, 1284, 1283 919,1044, 1045, 1060, 1059, 1269, 1270, 1285, 1284 920,1045, 1046, 1061, 1060, 1270, 1271, 1286, 1285 921,1046, 1047, 1062, 1061, 1271, 1272, 1287, 1286 922,1047, 1048, 1063, 1062, 1272, 1273, 1288, 1287 923,1048, 1049, 1064, 1063, 1273, 1274, 1289, 1288 924,1049, 1050, 1065, 1064, 1274, 1275, 1290, 1289 925,1051, 1052, 1067, 1066, 1276, 1277, 1292, 1291 926,1052, 1053, 1068, 1067, 1277, 1278, 1293, 1292 927,1053, 1054, 1069, 1068, 1278, 1279, 1294, 1293 928,1054, 1055, 1070, 1069, 1279, 1280, 1295, 1294 929,1055, 1056, 1071, 1070, 1280, 1281, 1296, 1295 930,1056, 1057, 1072, 1071, 1281, 1282, 1297, 1296 931,1057, 1058, 1073, 1072, 1282, 1283, 1298, 1297 932,1058, 1059, 1074, 1073, 1283, 1284, 1299, 1298 933,1059, 1060, 1075, 1074, 1284, 1285, 1300, 1299 934,1060, 1061, 1076, 1075, 1285, 1286, 1301, 1300 935,1061, 1062, 1077, 1076, 1286, 1287, 1302, 1301 936,1062, 1063, 1078, 1077, 1287, 1288, 1303, 1302 937,1063, 1064, 1079, 1078, 1288, 1289, 1304, 1303 938,1064, 1065, 1080, 1079, 1289, 1290, 1305, 1304 939,1066, 1067, 1082, 1081, 1291, 1292, 1307, 1306 940,1067, 1068, 1083, 1082, 1292, 1293, 1308, 1307 941,1068, 1069, 1084, 1083, 1293, 1294, 1309, 1308 942,1069, 1070, 1085, 1084, 1294, 1295, 1310, 1309 943,1070, 1071, 1086, 1085, 1295, 1296, 1311, 1310 944,1071, 1072, 1087, 1086, 1296, 1297, 1312, 1311 945,1072, 1073, 1088, 1087, 1297, 1298, 1313, 1312 946,1073, 1074, 1089, 1088, 1298, 1299, 1314, 1313 947,1074, 1075, 1090, 1089, 1299, 1300, 1315, 1314 948,1075, 1076, 1091, 1090, 1300, 1301, 1316, 1315 949,1076, 1077, 1092, 1091, 1301, 1302, 1317, 1316 950,1077, 1078, 1093, 1092, 1302, 1303, 1318, 1317 951,1078, 1079, 1094, 1093, 1303, 1304, 1319, 1318 952,1079, 1080, 1095, 1094, 1304, 1305, 1320, 1319 953,1081, 1082, 1097, 1096, 1306, 1307, 1322, 1321 954,1082, 1083, 1098, 1097, 1307, 1308, 1323, 1322 955,1083, 1084, 1099, 1098, 1308, 1309, 1324, 1323 956,1084, 1085, 1100, 1099, 1309, 1310, 1325, 1324 957,1085, 1086, 1101, 1100, 1310, 1311, 1326, 1325 958,1086, 1087, 1102, 1101, 1311, 1312, 1327, 1326 959,1087, 1088, 1103, 1102, 1312, 1313, 1328, 1327 960,1088, 1089, 1104, 1103, 1313, 1314, 1329, 1328 961,1089, 1090, 1105, 1104, 1314, 1315, 1330, 1329 962,1090, 1091, 1106, 1105, 1315, 1316, 1331, 1330 963,1091, 1092, 1107, 1106, 1316, 1317, 1332, 1331 964,1092, 1093, 1108, 1107, 1317, 1318, 1333, 1332 965,1093, 1094, 1109, 1108, 1318, 1319, 1334, 1333 966,1094, 1095, 1110, 1109, 1319, 1320, 1335, 1334 967,1096, 1097, 1112, 1111, 1321, 1322, 1337, 1336 968,1097, 1098, 1113, 1112, 1322, 1323, 1338, 1337 969,1098, 1099, 1114, 1113, 1323, 1324, 1339, 1338 970,1099, 1100, 1115, 1114, 1324, 1325, 1340, 1339 971,1100, 1101, 1116, 1115, 1325, 1326, 1341, 1340 972,1101, 1102, 1117, 1116, 1326, 1327, 1342, 1341 973,1102, 1103, 1118, 1117, 1327, 1328, 1343, 1342 974,1103, 1104, 1119, 1118, 1328, 1329, 1344, 1343 975,1104, 1105, 1120, 1119, 1329, 1330, 1345, 1344 976,1105, 1106, 1121, 1120, 1330, 1331, 1346, 1345 977,1106, 1107, 1122, 1121, 1331, 1332, 1347, 1346 978,1107, 1108, 1123, 1122, 1332, 1333, 1348, 1347 979,1108, 1109, 1124, 1123, 1333, 1334, 1349, 1348 980,1109, 1110, 1125, 1124, 1334, 1335, 1350, 1349 981,1126, 1127, 1142, 1141, 1351, 1352, 1367, 1366 982,1127, 1128, 1143, 1142, 1352, 1353, 1368, 1367 983,1128, 1129, 1144, 1143, 1353, 1354, 1369, 1368 984,1129, 1130, 1145, 1144, 1354, 1355, 1370, 1369 985,1130, 1131, 1146, 1145, 1355, 1356, 1371, 1370 986,1131, 1132, 1147, 1146, 1356, 1357, 1372, 1371 987,1132, 1133, 1148, 1147, 1357, 1358, 1373, 1372 988,1133, 1134, 1149, 1148, 1358, 1359, 1374, 1373 989,1134, 1135, 1150, 1149, 1359, 1360, 1375, 1374 990,1135, 1136, 1151, 1150, 1360, 1361, 1376, 1375 991,1136, 1137, 1152, 1151, 1361, 1362, 1377, 1376 992,1137, 1138, 1153, 1152, 1362, 1363, 1378, 1377 993,1138, 1139, 1154, 1153, 1363, 1364, 1379, 1378 994,1139, 1140, 1155, 1154, 1364, 1365, 1380, 1379 995,1141, 1142, 1157, 1156, 1366, 1367, 1382, 1381 996,1142, 1143, 1158, 1157, 1367, 1368, 1383, 1382 997,1143, 1144, 1159, 1158, 1368, 1369, 1384, 1383 998,1144, 1145, 1160, 1159, 1369, 1370, 1385, 1384 999,1145, 1146, 1161, 1160, 1370, 1371, 1386, 1385 1000,1146, 1147, 1162, 1161, 1371, 1372, 1387, 1386 1001,1147, 1148, 1163, 1162, 1372, 1373, 1388, 1387 1002,1148, 1149, 1164, 1163, 1373, 1374, 1389, 1388 1003,1149, 1150, 1165, 1164, 1374, 1375, 1390, 1389 1004,1150, 1151, 1166, 1165, 1375, 1376, 1391, 1390 1005,1151, 1152, 1167, 1166, 1376, 1377, 1392, 1391 1006,1152, 1153, 1168, 1167, 1377, 1378, 1393, 1392 1007,1153, 1154, 1169, 1168, 1378, 1379, 1394, 1393 1008,1154, 1155, 1170, 1169, 1379, 1380, 1395, 1394 1009,1156, 1157, 1172, 1171, 1381, 1382, 1397, 1396 1010,1157, 1158, 1173, 1172, 1382, 1383, 1398, 1397 1011,1158, 1159, 1174, 1173, 1383, 1384, 1399, 1398 1012,1159, 1160, 1175, 1174, 1384, 1385, 1400, 1399 1013,1160, 1161, 1176, 1175, 1385, 1386, 1401, 1400 1014,1161, 1162, 1177, 1176, 1386, 1387, 1402, 1401 1015,1162, 1163, 1178, 1177, 1387, 1388, 1403, 1402 1016,1163, 1164, 1179, 1178, 1388, 1389, 1404, 1403 1017,1164, 1165, 1180, 1179, 1389, 1390, 1405, 1404 1018,1165, 1166, 1181, 1180, 1390, 1391, 1406, 1405 1019,1166, 1167, 1182, 1181, 1391, 1392, 1407, 1406 1020,1167, 1168, 1183, 1182, 1392, 1393, 1408, 1407 1021,1168, 1169, 1184, 1183, 1393, 1394, 1409, 1408 1022,1169, 1170, 1185, 1184, 1394, 1395, 1410, 1409 1023,1171, 1172, 1187, 1186, 1396, 1397, 1412, 1411 1024,1172, 1173, 1188, 1187, 1397, 1398, 1413, 1412 1025,1173, 1174, 1189, 1188, 1398, 1399, 1414, 1413 1026,1174, 1175, 1190, 1189, 1399, 1400, 1415, 1414 1027,1175, 1176, 1191, 1190, 1400, 1401, 1416, 1415 1028,1176, 1177, 1192, 1191, 1401, 1402, 1417, 1416 1029,1177, 1178, 1193, 1192, 1402, 1403, 1418, 1417 1030,1178, 1179, 1194, 1193, 1403, 1404, 1419, 1418 1031,1179, 1180, 1195, 1194, 1404, 1405, 1420, 1419 1032,1180, 1181, 1196, 1195, 1405, 1406, 1421, 1420 1033,1181, 1182, 1197, 1196, 1406, 1407, 1422, 1421 1034,1182, 1183, 1198, 1197, 1407, 1408, 1423, 1422 1035,1183, 1184, 1199, 1198, 1408, 1409, 1424, 1423 1036,1184, 1185, 1200, 1199, 1409, 1410, 1425, 1424 1037,1186, 1187, 1202, 1201, 1411, 1412, 1427, 1426 1038,1187, 1188, 1203, 1202, 1412, 1413, 1428, 1427 1039,1188, 1189, 1204, 1203, 1413, 1414, 1429, 1428 1040,1189, 1190, 1205, 1204, 1414, 1415, 1430, 1429 1041,1190, 1191, 1206, 1205, 1415, 1416, 1431, 1430 1042,1191, 1192, 1207, 1206, 1416, 1417, 1432, 1431 1043,1192, 1193, 1208, 1207, 1417, 1418, 1433, 1432 1044,1193, 1194, 1209, 1208, 1418, 1419, 1434, 1433 1045,1194, 1195, 1210, 1209, 1419, 1420, 1435, 1434 1046,1195, 1196, 1211, 1210, 1420, 1421, 1436, 1435 1047,1196, 1197, 1212, 1211, 1421, 1422, 1437, 1436 1048,1197, 1198, 1213, 1212, 1422, 1423, 1438, 1437 1049,1198, 1199, 1214, 1213, 1423, 1424, 1439, 1438 1050,1199, 1200, 1215, 1214, 1424, 1425, 1440, 1439 1051,1201, 1202, 1217, 1216, 1426, 1427, 1442, 1441 1052,1202, 1203, 1218, 1217, 1427, 1428, 1443, 1442 1053,1203, 1204, 1219, 1218, 1428, 1429, 1444, 1443 1054,1204, 1205, 1220, 1219, 1429, 1430, 1445, 1444 1055,1205, 1206, 1221, 1220, 1430, 1431, 1446, 1445 1056,1206, 1207, 1222, 1221, 1431, 1432, 1447, 1446 1057,1207, 1208, 1223, 1222, 1432, 1433, 1448, 1447 1058,1208, 1209, 1224, 1223, 1433, 1434, 1449, 1448 1059,1209, 1210, 1225, 1224, 1434, 1435, 1450, 1449 1060,1210, 1211, 1226, 1225, 1435, 1436, 1451, 1450 1061,1211, 1212, 1227, 1226, 1436, 1437, 1452, 1451 1062,1212, 1213, 1228, 1227, 1437, 1438, 1453, 1452 1063,1213, 1214, 1229, 1228, 1438, 1439, 1454, 1453 1064,1214, 1215, 1230, 1229, 1439, 1440, 1455, 1454 1065,1216, 1217, 1232, 1231, 1441, 1442, 1457, 1456 1066,1217, 1218, 1233, 1232, 1442, 1443, 1458, 1457 1067,1218, 1219, 1234, 1233, 1443, 1444, 1459, 1458 1068,1219, 1220, 1235, 1234, 1444, 1445, 1460, 1459 1069,1220, 1221, 1236, 1235, 1445, 1446, 1461, 1460 1070,1221, 1222, 1237, 1236, 1446, 1447, 1462, 1461 1071,1222, 1223, 1238, 1237, 1447, 1448, 1463, 1462 1072,1223, 1224, 1239, 1238, 1448, 1449, 1464, 1463 1073,1224, 1225, 1240, 1239, 1449, 1450, 1465, 1464 1074,1225, 1226, 1241, 1240, 1450, 1451, 1466, 1465 1075,1226, 1227, 1242, 1241, 1451, 1452, 1467, 1466 1076,1227, 1228, 1243, 1242, 1452, 1453, 1468, 1467 1077,1228, 1229, 1244, 1243, 1453, 1454, 1469, 1468 1078,1229, 1230, 1245, 1244, 1454, 1455, 1470, 1469 1079,1231, 1232, 1247, 1246, 1456, 1457, 1472, 1471 1080,1232, 1233, 1248, 1247, 1457, 1458, 1473, 1472 1081,1233, 1234, 1249, 1248, 1458, 1459, 1474, 1473 1082,1234, 1235, 1250, 1249, 1459, 1460, 1475, 1474 1083,1235, 1236, 1251, 1250, 1460, 1461, 1476, 1475 1084,1236, 1237, 1252, 1251, 1461, 1462, 1477, 1476 1085,1237, 1238, 1253, 1252, 1462, 1463, 1478, 1477 1086,1238, 1239, 1254, 1253, 1463, 1464, 1479, 1478 1087,1239, 1240, 1255, 1254, 1464, 1465, 1480, 1479 1088,1240, 1241, 1256, 1255, 1465, 1466, 1481, 1480 1089,1241, 1242, 1257, 1256, 1466, 1467, 1482, 1481 1090,1242, 1243, 1258, 1257, 1467, 1468, 1483, 1482 1091,1243, 1244, 1259, 1258, 1468, 1469, 1484, 1483 1092,1244, 1245, 1260, 1259, 1469, 1470, 1485, 1484 1093,1246, 1247, 1262, 1261, 1471, 1472, 1487, 1486 1094,1247, 1248, 1263, 1262, 1472, 1473, 1488, 1487 1095,1248, 1249, 1264, 1263, 1473, 1474, 1489, 1488 1096,1249, 1250, 1265, 1264, 1474, 1475, 1490, 1489 1097,1250, 1251, 1266, 1265, 1475, 1476, 1491, 1490 1098,1251, 1252, 1267, 1266, 1476, 1477, 1492, 1491 1099,1252, 1253, 1268, 1267, 1477, 1478, 1493, 1492 1100,1253, 1254, 1269, 1268, 1478, 1479, 1494, 1493 1101,1254, 1255, 1270, 1269, 1479, 1480, 1495, 1494 1102,1255, 1256, 1271, 1270, 1480, 1481, 1496, 1495 1103,1256, 1257, 1272, 1271, 1481, 1482, 1497, 1496 1104,1257, 1258, 1273, 1272, 1482, 1483, 1498, 1497 1105,1258, 1259, 1274, 1273, 1483, 1484, 1499, 1498 1106,1259, 1260, 1275, 1274, 1484, 1485, 1500, 1499 1107,1261, 1262, 1277, 1276, 1486, 1487, 1502, 1501 1108,1262, 1263, 1278, 1277, 1487, 1488, 1503, 1502 1109,1263, 1264, 1279, 1278, 1488, 1489, 1504, 1503 1110,1264, 1265, 1280, 1279, 1489, 1490, 1505, 1504 1111,1265, 1266, 1281, 1280, 1490, 1491, 1506, 1505 1112,1266, 1267, 1282, 1281, 1491, 1492, 1507, 1506 1113,1267, 1268, 1283, 1282, 1492, 1493, 1508, 1507 1114,1268, 1269, 1284, 1283, 1493, 1494, 1509, 1508 1115,1269, 1270, 1285, 1284, 1494, 1495, 1510, 1509 1116,1270, 1271, 1286, 1285, 1495, 1496, 1511, 1510 1117,1271, 1272, 1287, 1286, 1496, 1497, 1512, 1511 1118,1272, 1273, 1288, 1287, 1497, 1498, 1513, 1512 1119,1273, 1274, 1289, 1288, 1498, 1499, 1514, 1513 1120,1274, 1275, 1290, 1289, 1499, 1500, 1515, 1514 1121,1276, 1277, 1292, 1291, 1501, 1502, 1517, 1516 1122,1277, 1278, 1293, 1292, 1502, 1503, 1518, 1517 1123,1278, 1279, 1294, 1293, 1503, 1504, 1519, 1518 1124,1279, 1280, 1295, 1294, 1504, 1505, 1520, 1519 1125,1280, 1281, 1296, 1295, 1505, 1506, 1521, 1520 1126,1281, 1282, 1297, 1296, 1506, 1507, 1522, 1521 1127,1282, 1283, 1298, 1297, 1507, 1508, 1523, 1522 1128,1283, 1284, 1299, 1298, 1508, 1509, 1524, 1523 1129,1284, 1285, 1300, 1299, 1509, 1510, 1525, 1524 1130,1285, 1286, 1301, 1300, 1510, 1511, 1526, 1525 1131,1286, 1287, 1302, 1301, 1511, 1512, 1527, 1526 1132,1287, 1288, 1303, 1302, 1512, 1513, 1528, 1527 1133,1288, 1289, 1304, 1303, 1513, 1514, 1529, 1528 1134,1289, 1290, 1305, 1304, 1514, 1515, 1530, 1529 1135,1291, 1292, 1307, 1306, 1516, 1517, 1532, 1531 1136,1292, 1293, 1308, 1307, 1517, 1518, 1533, 1532 1137,1293, 1294, 1309, 1308, 1518, 1519, 1534, 1533 1138,1294, 1295, 1310, 1309, 1519, 1520, 1535, 1534 1139,1295, 1296, 1311, 1310, 1520, 1521, 1536, 1535 1140,1296, 1297, 1312, 1311, 1521, 1522, 1537, 1536 1141,1297, 1298, 1313, 1312, 1522, 1523, 1538, 1537 1142,1298, 1299, 1314, 1313, 1523, 1524, 1539, 1538 1143,1299, 1300, 1315, 1314, 1524, 1525, 1540, 1539 1144,1300, 1301, 1316, 1315, 1525, 1526, 1541, 1540 1145,1301, 1302, 1317, 1316, 1526, 1527, 1542, 1541 1146,1302, 1303, 1318, 1317, 1527, 1528, 1543, 1542 1147,1303, 1304, 1319, 1318, 1528, 1529, 1544, 1543 1148,1304, 1305, 1320, 1319, 1529, 1530, 1545, 1544 1149,1306, 1307, 1322, 1321, 1531, 1532, 1547, 1546 1150,1307, 1308, 1323, 1322, 1532, 1533, 1548, 1547 1151,1308, 1309, 1324, 1323, 1533, 1534, 1549, 1548 1152,1309, 1310, 1325, 1324, 1534, 1535, 1550, 1549 1153,1310, 1311, 1326, 1325, 1535, 1536, 1551, 1550 1154,1311, 1312, 1327, 1326, 1536, 1537, 1552, 1551 1155,1312, 1313, 1328, 1327, 1537, 1538, 1553, 1552 1156,1313, 1314, 1329, 1328, 1538, 1539, 1554, 1553 1157,1314, 1315, 1330, 1329, 1539, 1540, 1555, 1554 1158,1315, 1316, 1331, 1330, 1540, 1541, 1556, 1555 1159,1316, 1317, 1332, 1331, 1541, 1542, 1557, 1556 1160,1317, 1318, 1333, 1332, 1542, 1543, 1558, 1557 1161,1318, 1319, 1334, 1333, 1543, 1544, 1559, 1558 1162,1319, 1320, 1335, 1334, 1544, 1545, 1560, 1559 1163,1321, 1322, 1337, 1336, 1546, 1547, 1562, 1561 1164,1322, 1323, 1338, 1337, 1547, 1548, 1563, 1562 1165,1323, 1324, 1339, 1338, 1548, 1549, 1564, 1563 1166,1324, 1325, 1340, 1339, 1549, 1550, 1565, 1564 1167,1325, 1326, 1341, 1340, 1550, 1551, 1566, 1565 1168,1326, 1327, 1342, 1341, 1551, 1552, 1567, 1566 1169,1327, 1328, 1343, 1342, 1552, 1553, 1568, 1567 1170,1328, 1329, 1344, 1343, 1553, 1554, 1569, 1568 1171,1329, 1330, 1345, 1344, 1554, 1555, 1570, 1569 1172,1330, 1331, 1346, 1345, 1555, 1556, 1571, 1570 1173,1331, 1332, 1347, 1346, 1556, 1557, 1572, 1571 1174,1332, 1333, 1348, 1347, 1557, 1558, 1573, 1572 1175,1333, 1334, 1349, 1348, 1558, 1559, 1574, 1573 1176,1334, 1335, 1350, 1349, 1559, 1560, 1575, 1574 1177,1351, 1352, 1367, 1366, 1576, 1577, 1592, 1591 1178,1352, 1353, 1368, 1367, 1577, 1578, 1593, 1592 1179,1353, 1354, 1369, 1368, 1578, 1579, 1594, 1593 1180,1354, 1355, 1370, 1369, 1579, 1580, 1595, 1594 1181,1355, 1356, 1371, 1370, 1580, 1581, 1596, 1595 1182,1356, 1357, 1372, 1371, 1581, 1582, 1597, 1596 1183,1357, 1358, 1373, 1372, 1582, 1583, 1598, 1597 1184,1358, 1359, 1374, 1373, 1583, 1584, 1599, 1598 1185,1359, 1360, 1375, 1374, 1584, 1585, 1600, 1599 1186,1360, 1361, 1376, 1375, 1585, 1586, 1601, 1600 1187,1361, 1362, 1377, 1376, 1586, 1587, 1602, 1601 1188,1362, 1363, 1378, 1377, 1587, 1588, 1603, 1602 1189,1363, 1364, 1379, 1378, 1588, 1589, 1604, 1603 1190,1364, 1365, 1380, 1379, 1589, 1590, 1605, 1604 1191,1366, 1367, 1382, 1381, 1591, 1592, 1607, 1606 1192,1367, 1368, 1383, 1382, 1592, 1593, 1608, 1607 1193,1368, 1369, 1384, 1383, 1593, 1594, 1609, 1608 1194,1369, 1370, 1385, 1384, 1594, 1595, 1610, 1609 1195,1370, 1371, 1386, 1385, 1595, 1596, 1611, 1610 1196,1371, 1372, 1387, 1386, 1596, 1597, 1612, 1611 1197,1372, 1373, 1388, 1387, 1597, 1598, 1613, 1612 1198,1373, 1374, 1389, 1388, 1598, 1599, 1614, 1613 1199,1374, 1375, 1390, 1389, 1599, 1600, 1615, 1614 1200,1375, 1376, 1391, 1390, 1600, 1601, 1616, 1615 1201,1376, 1377, 1392, 1391, 1601, 1602, 1617, 1616 1202,1377, 1378, 1393, 1392, 1602, 1603, 1618, 1617 1203,1378, 1379, 1394, 1393, 1603, 1604, 1619, 1618 1204,1379, 1380, 1395, 1394, 1604, 1605, 1620, 1619 1205,1381, 1382, 1397, 1396, 1606, 1607, 1622, 1621 1206,1382, 1383, 1398, 1397, 1607, 1608, 1623, 1622 1207,1383, 1384, 1399, 1398, 1608, 1609, 1624, 1623 1208,1384, 1385, 1400, 1399, 1609, 1610, 1625, 1624 1209,1385, 1386, 1401, 1400, 1610, 1611, 1626, 1625 1210,1386, 1387, 1402, 1401, 1611, 1612, 1627, 1626 1211,1387, 1388, 1403, 1402, 1612, 1613, 1628, 1627 1212,1388, 1389, 1404, 1403, 1613, 1614, 1629, 1628 1213,1389, 1390, 1405, 1404, 1614, 1615, 1630, 1629 1214,1390, 1391, 1406, 1405, 1615, 1616, 1631, 1630 1215,1391, 1392, 1407, 1406, 1616, 1617, 1632, 1631 1216,1392, 1393, 1408, 1407, 1617, 1618, 1633, 1632 1217,1393, 1394, 1409, 1408, 1618, 1619, 1634, 1633 1218,1394, 1395, 1410, 1409, 1619, 1620, 1635, 1634 1219,1396, 1397, 1412, 1411, 1621, 1622, 1637, 1636 1220,1397, 1398, 1413, 1412, 1622, 1623, 1638, 1637 1221,1398, 1399, 1414, 1413, 1623, 1624, 1639, 1638 1222,1399, 1400, 1415, 1414, 1624, 1625, 1640, 1639 1223,1400, 1401, 1416, 1415, 1625, 1626, 1641, 1640 1224,1401, 1402, 1417, 1416, 1626, 1627, 1642, 1641 1225,1402, 1403, 1418, 1417, 1627, 1628, 1643, 1642 1226,1403, 1404, 1419, 1418, 1628, 1629, 1644, 1643 1227,1404, 1405, 1420, 1419, 1629, 1630, 1645, 1644 1228,1405, 1406, 1421, 1420, 1630, 1631, 1646, 1645 1229,1406, 1407, 1422, 1421, 1631, 1632, 1647, 1646 1230,1407, 1408, 1423, 1422, 1632, 1633, 1648, 1647 1231,1408, 1409, 1424, 1423, 1633, 1634, 1649, 1648 1232,1409, 1410, 1425, 1424, 1634, 1635, 1650, 1649 1233,1411, 1412, 1427, 1426, 1636, 1637, 1652, 1651 1234,1412, 1413, 1428, 1427, 1637, 1638, 1653, 1652 1235,1413, 1414, 1429, 1428, 1638, 1639, 1654, 1653 1236,1414, 1415, 1430, 1429, 1639, 1640, 1655, 1654 1237,1415, 1416, 1431, 1430, 1640, 1641, 1656, 1655 1238,1416, 1417, 1432, 1431, 1641, 1642, 1657, 1656 1239,1417, 1418, 1433, 1432, 1642, 1643, 1658, 1657 1240,1418, 1419, 1434, 1433, 1643, 1644, 1659, 1658 1241,1419, 1420, 1435, 1434, 1644, 1645, 1660, 1659 1242,1420, 1421, 1436, 1435, 1645, 1646, 1661, 1660 1243,1421, 1422, 1437, 1436, 1646, 1647, 1662, 1661 1244,1422, 1423, 1438, 1437, 1647, 1648, 1663, 1662 1245,1423, 1424, 1439, 1438, 1648, 1649, 1664, 1663 1246,1424, 1425, 1440, 1439, 1649, 1650, 1665, 1664 1247,1426, 1427, 1442, 1441, 1651, 1652, 1667, 1666 1248,1427, 1428, 1443, 1442, 1652, 1653, 1668, 1667 1249,1428, 1429, 1444, 1443, 1653, 1654, 1669, 1668 1250,1429, 1430, 1445, 1444, 1654, 1655, 1670, 1669 1251,1430, 1431, 1446, 1445, 1655, 1656, 1671, 1670 1252,1431, 1432, 1447, 1446, 1656, 1657, 1672, 1671 1253,1432, 1433, 1448, 1447, 1657, 1658, 1673, 1672 1254,1433, 1434, 1449, 1448, 1658, 1659, 1674, 1673 1255,1434, 1435, 1450, 1449, 1659, 1660, 1675, 1674 1256,1435, 1436, 1451, 1450, 1660, 1661, 1676, 1675 1257,1436, 1437, 1452, 1451, 1661, 1662, 1677, 1676 1258,1437, 1438, 1453, 1452, 1662, 1663, 1678, 1677 1259,1438, 1439, 1454, 1453, 1663, 1664, 1679, 1678 1260,1439, 1440, 1455, 1454, 1664, 1665, 1680, 1679 1261,1441, 1442, 1457, 1456, 1666, 1667, 1682, 1681 1262,1442, 1443, 1458, 1457, 1667, 1668, 1683, 1682 1263,1443, 1444, 1459, 1458, 1668, 1669, 1684, 1683 1264,1444, 1445, 1460, 1459, 1669, 1670, 1685, 1684 1265,1445, 1446, 1461, 1460, 1670, 1671, 1686, 1685 1266,1446, 1447, 1462, 1461, 1671, 1672, 1687, 1686 1267,1447, 1448, 1463, 1462, 1672, 1673, 1688, 1687 1268,1448, 1449, 1464, 1463, 1673, 1674, 1689, 1688 1269,1449, 1450, 1465, 1464, 1674, 1675, 1690, 1689 1270,1450, 1451, 1466, 1465, 1675, 1676, 1691, 1690 1271,1451, 1452, 1467, 1466, 1676, 1677, 1692, 1691 1272,1452, 1453, 1468, 1467, 1677, 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1854, 1869, 1868, 2078, 2079, 2094, 2093 1619,1854, 1855, 1870, 1869, 2079, 2080, 2095, 2094 1620,1855, 1856, 1871, 1870, 2080, 2081, 2096, 2095 1621,1856, 1857, 1872, 1871, 2081, 2082, 2097, 2096 1622,1857, 1858, 1873, 1872, 2082, 2083, 2098, 2097 1623,1858, 1859, 1874, 1873, 2083, 2084, 2099, 2098 1624,1859, 1860, 1875, 1874, 2084, 2085, 2100, 2099 1625,1861, 1862, 1877, 1876, 2086, 2087, 2102, 2101 1626,1862, 1863, 1878, 1877, 2087, 2088, 2103, 2102 1627,1863, 1864, 1879, 1878, 2088, 2089, 2104, 2103 1628,1864, 1865, 1880, 1879, 2089, 2090, 2105, 2104 1629,1865, 1866, 1881, 1880, 2090, 2091, 2106, 2105 1630,1866, 1867, 1882, 1881, 2091, 2092, 2107, 2106 1631,1867, 1868, 1883, 1882, 2092, 2093, 2108, 2107 1632,1868, 1869, 1884, 1883, 2093, 2094, 2109, 2108 1633,1869, 1870, 1885, 1884, 2094, 2095, 2110, 2109 1634,1870, 1871, 1886, 1885, 2095, 2096, 2111, 2110 1635,1871, 1872, 1887, 1886, 2096, 2097, 2112, 2111 1636,1872, 1873, 1888, 1887, 2097, 2098, 2113, 2112 1637,1873, 1874, 1889, 1888, 2098, 2099, 2114, 2113 1638,1874, 1875, 1890, 1889, 2099, 2100, 2115, 2114 1639,1876, 1877, 1892, 1891, 2101, 2102, 2117, 2116 1640,1877, 1878, 1893, 1892, 2102, 2103, 2118, 2117 1641,1878, 1879, 1894, 1893, 2103, 2104, 2119, 2118 1642,1879, 1880, 1895, 1894, 2104, 2105, 2120, 2119 1643,1880, 1881, 1896, 1895, 2105, 2106, 2121, 2120 1644,1881, 1882, 1897, 1896, 2106, 2107, 2122, 2121 1645,1882, 1883, 1898, 1897, 2107, 2108, 2123, 2122 1646,1883, 1884, 1899, 1898, 2108, 2109, 2124, 2123 1647,1884, 1885, 1900, 1899, 2109, 2110, 2125, 2124 1648,1885, 1886, 1901, 1900, 2110, 2111, 2126, 2125 1649,1886, 1887, 1902, 1901, 2111, 2112, 2127, 2126 1650,1887, 1888, 1903, 1902, 2112, 2113, 2128, 2127 1651,1888, 1889, 1904, 1903, 2113, 2114, 2129, 2128 1652,1889, 1890, 1905, 1904, 2114, 2115, 2130, 2129 1653,1891, 1892, 1907, 1906, 2116, 2117, 2132, 2131 1654,1892, 1893, 1908, 1907, 2117, 2118, 2133, 2132 1655,1893, 1894, 1909, 1908, 2118, 2119, 2134, 2133 1656,1894, 1895, 1910, 1909, 2119, 2120, 2135, 2134 1657,1895, 1896, 1911, 1910, 2120, 2121, 2136, 2135 1658,1896, 1897, 1912, 1911, 2121, 2122, 2137, 2136 1659,1897, 1898, 1913, 1912, 2122, 2123, 2138, 2137 1660,1898, 1899, 1914, 1913, 2123, 2124, 2139, 2138 1661,1899, 1900, 1915, 1914, 2124, 2125, 2140, 2139 1662,1900, 1901, 1916, 1915, 2125, 2126, 2141, 2140 1663,1901, 1902, 1917, 1916, 2126, 2127, 2142, 2141 1664,1902, 1903, 1918, 1917, 2127, 2128, 2143, 2142 1665,1903, 1904, 1919, 1918, 2128, 2129, 2144, 2143 1666,1904, 1905, 1920, 1919, 2129, 2130, 2145, 2144 1667,1906, 1907, 1922, 1921, 2131, 2132, 2147, 2146 1668,1907, 1908, 1923, 1922, 2132, 2133, 2148, 2147 1669,1908, 1909, 1924, 1923, 2133, 2134, 2149, 2148 1670,1909, 1910, 1925, 1924, 2134, 2135, 2150, 2149 1671,1910, 1911, 1926, 1925, 2135, 2136, 2151, 2150 1672,1911, 1912, 1927, 1926, 2136, 2137, 2152, 2151 1673,1912, 1913, 1928, 1927, 2137, 2138, 2153, 2152 1674,1913, 1914, 1929, 1928, 2138, 2139, 2154, 2153 1675,1914, 1915, 1930, 1929, 2139, 2140, 2155, 2154 1676,1915, 1916, 1931, 1930, 2140, 2141, 2156, 2155 1677,1916, 1917, 1932, 1931, 2141, 2142, 2157, 2156 1678,1917, 1918, 1933, 1932, 2142, 2143, 2158, 2157 1679,1918, 1919, 1934, 1933, 2143, 2144, 2159, 2158 1680,1919, 1920, 1935, 1934, 2144, 2145, 2160, 2159 1681,1921, 1922, 1937, 1936, 2146, 2147, 2162, 2161 1682,1922, 1923, 1938, 1937, 2147, 2148, 2163, 2162 1683,1923, 1924, 1939, 1938, 2148, 2149, 2164, 2163 1684,1924, 1925, 1940, 1939, 2149, 2150, 2165, 2164 1685,1925, 1926, 1941, 1940, 2150, 2151, 2166, 2165 1686,1926, 1927, 1942, 1941, 2151, 2152, 2167, 2166 1687,1927, 1928, 1943, 1942, 2152, 2153, 2168, 2167 1688,1928, 1929, 1944, 1943, 2153, 2154, 2169, 2168 1689,1929, 1930, 1945, 1944, 2154, 2155, 2170, 2169 1690,1930, 1931, 1946, 1945, 2155, 2156, 2171, 2170 1691,1931, 1932, 1947, 1946, 2156, 2157, 2172, 2171 1692,1932, 1933, 1948, 1947, 2157, 2158, 2173, 2172 1693,1933, 1934, 1949, 1948, 2158, 2159, 2174, 2173 1694,1934, 1935, 1950, 1949, 2159, 2160, 2175, 2174 1695,1936, 1937, 1952, 1951, 2161, 2162, 2177, 2176 1696,1937, 1938, 1953, 1952, 2162, 2163, 2178, 2177 1697,1938, 1939, 1954, 1953, 2163, 2164, 2179, 2178 1698,1939, 1940, 1955, 1954, 2164, 2165, 2180, 2179 1699,1940, 1941, 1956, 1955, 2165, 2166, 2181, 2180 1700,1941, 1942, 1957, 1956, 2166, 2167, 2182, 2181 1701,1942, 1943, 1958, 1957, 2167, 2168, 2183, 2182 1702,1943, 1944, 1959, 1958, 2168, 2169, 2184, 2183 1703,1944, 1945, 1960, 1959, 2169, 2170, 2185, 2184 1704,1945, 1946, 1961, 1960, 2170, 2171, 2186, 2185 1705,1946, 1947, 1962, 1961, 2171, 2172, 2187, 2186 1706,1947, 1948, 1963, 1962, 2172, 2173, 2188, 2187 1707,1948, 1949, 1964, 1963, 2173, 2174, 2189, 2188 1708,1949, 1950, 1965, 1964, 2174, 2175, 2190, 2189 1709,1951, 1952, 1967, 1966, 2176, 2177, 2192, 2191 1710,1952, 1953, 1968, 1967, 2177, 2178, 2193, 2192 1711,1953, 1954, 1969, 1968, 2178, 2179, 2194, 2193 1712,1954, 1955, 1970, 1969, 2179, 2180, 2195, 2194 1713,1955, 1956, 1971, 1970, 2180, 2181, 2196, 2195 1714,1956, 1957, 1972, 1971, 2181, 2182, 2197, 2196 1715,1957, 1958, 1973, 1972, 2182, 2183, 2198, 2197 1716,1958, 1959, 1974, 1973, 2183, 2184, 2199, 2198 1717,1959, 1960, 1975, 1974, 2184, 2185, 2200, 2199 1718,1960, 1961, 1976, 1975, 2185, 2186, 2201, 2200 1719,1961, 1962, 1977, 1976, 2186, 2187, 2202, 2201 1720,1962, 1963, 1978, 1977, 2187, 2188, 2203, 2202 1721,1963, 1964, 1979, 1978, 2188, 2189, 2204, 2203 1722,1964, 1965, 1980, 1979, 2189, 2190, 2205, 2204 1723,1966, 1967, 1982, 1981, 2191, 2192, 2207, 2206 1724,1967, 1968, 1983, 1982, 2192, 2193, 2208, 2207 1725,1968, 1969, 1984, 1983, 2193, 2194, 2209, 2208 1726,1969, 1970, 1985, 1984, 2194, 2195, 2210, 2209 1727,1970, 1971, 1986, 1985, 2195, 2196, 2211, 2210 1728,1971, 1972, 1987, 1986, 2196, 2197, 2212, 2211 1729,1972, 1973, 1988, 1987, 2197, 2198, 2213, 2212 1730,1973, 1974, 1989, 1988, 2198, 2199, 2214, 2213 1731,1974, 1975, 1990, 1989, 2199, 2200, 2215, 2214 1732,1975, 1976, 1991, 1990, 2200, 2201, 2216, 2215 1733,1976, 1977, 1992, 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2223, 2238, 2237 1753,1998, 1999, 2014, 2013, 2223, 2224, 2239, 2238 1754,1999, 2000, 2015, 2014, 2224, 2225, 2240, 2239 1755,2000, 2001, 2016, 2015, 2225, 2226, 2241, 2240 1756,2001, 2002, 2017, 2016, 2226, 2227, 2242, 2241 1757,2002, 2003, 2018, 2017, 2227, 2228, 2243, 2242 1758,2003, 2004, 2019, 2018, 2228, 2229, 2244, 2243 1759,2004, 2005, 2020, 2019, 2229, 2230, 2245, 2244 1760,2005, 2006, 2021, 2020, 2230, 2231, 2246, 2245 1761,2006, 2007, 2022, 2021, 2231, 2232, 2247, 2246 1762,2007, 2008, 2023, 2022, 2232, 2233, 2248, 2247 1763,2008, 2009, 2024, 2023, 2233, 2234, 2249, 2248 1764,2009, 2010, 2025, 2024, 2234, 2235, 2250, 2249 1765,2026, 2027, 2042, 2041, 2251, 2252, 2267, 2266 1766,2027, 2028, 2043, 2042, 2252, 2253, 2268, 2267 1767,2028, 2029, 2044, 2043, 2253, 2254, 2269, 2268 1768,2029, 2030, 2045, 2044, 2254, 2255, 2270, 2269 1769,2030, 2031, 2046, 2045, 2255, 2256, 2271, 2270 1770,2031, 2032, 2047, 2046, 2256, 2257, 2272, 2271 1771,2032, 2033, 2048, 2047, 2257, 2258, 2273, 2272 1772,2033, 2034, 2049, 2048, 2258, 2259, 2274, 2273 1773,2034, 2035, 2050, 2049, 2259, 2260, 2275, 2274 1774,2035, 2036, 2051, 2050, 2260, 2261, 2276, 2275 1775,2036, 2037, 2052, 2051, 2261, 2262, 2277, 2276 1776,2037, 2038, 2053, 2052, 2262, 2263, 2278, 2277 1777,2038, 2039, 2054, 2053, 2263, 2264, 2279, 2278 1778,2039, 2040, 2055, 2054, 2264, 2265, 2280, 2279 1779,2041, 2042, 2057, 2056, 2266, 2267, 2282, 2281 1780,2042, 2043, 2058, 2057, 2267, 2268, 2283, 2282 1781,2043, 2044, 2059, 2058, 2268, 2269, 2284, 2283 1782,2044, 2045, 2060, 2059, 2269, 2270, 2285, 2284 1783,2045, 2046, 2061, 2060, 2270, 2271, 2286, 2285 1784,2046, 2047, 2062, 2061, 2271, 2272, 2287, 2286 1785,2047, 2048, 2063, 2062, 2272, 2273, 2288, 2287 1786,2048, 2049, 2064, 2063, 2273, 2274, 2289, 2288 1787,2049, 2050, 2065, 2064, 2274, 2275, 2290, 2289 1788,2050, 2051, 2066, 2065, 2275, 2276, 2291, 2290 1789,2051, 2052, 2067, 2066, 2276, 2277, 2292, 2291 1790,2052, 2053, 2068, 2067, 2277, 2278, 2293, 2292 1791,2053, 2054, 2069, 2068, 2278, 2279, 2294, 2293 1792,2054, 2055, 2070, 2069, 2279, 2280, 2295, 2294 1793,2056, 2057, 2072, 2071, 2281, 2282, 2297, 2296 1794,2057, 2058, 2073, 2072, 2282, 2283, 2298, 2297 1795,2058, 2059, 2074, 2073, 2283, 2284, 2299, 2298 1796,2059, 2060, 2075, 2074, 2284, 2285, 2300, 2299 1797,2060, 2061, 2076, 2075, 2285, 2286, 2301, 2300 1798,2061, 2062, 2077, 2076, 2286, 2287, 2302, 2301 1799,2062, 2063, 2078, 2077, 2287, 2288, 2303, 2302 1800,2063, 2064, 2079, 2078, 2288, 2289, 2304, 2303 1801,2064, 2065, 2080, 2079, 2289, 2290, 2305, 2304 1802,2065, 2066, 2081, 2080, 2290, 2291, 2306, 2305 1803,2066, 2067, 2082, 2081, 2291, 2292, 2307, 2306 1804,2067, 2068, 2083, 2082, 2292, 2293, 2308, 2307 1805,2068, 2069, 2084, 2083, 2293, 2294, 2309, 2308 1806,2069, 2070, 2085, 2084, 2294, 2295, 2310, 2309 1807,2071, 2072, 2087, 2086, 2296, 2297, 2312, 2311 1808,2072, 2073, 2088, 2087, 2297, 2298, 2313, 2312 1809,2073, 2074, 2089, 2088, 2298, 2299, 2314, 2313 1810,2074, 2075, 2090, 2089, 2299, 2300, 2315, 2314 1811,2075, 2076, 2091, 2090, 2300, 2301, 2316, 2315 1812,2076, 2077, 2092, 2091, 2301, 2302, 2317, 2316 1813,2077, 2078, 2093, 2092, 2302, 2303, 2318, 2317 1814,2078, 2079, 2094, 2093, 2303, 2304, 2319, 2318 1815,2079, 2080, 2095, 2094, 2304, 2305, 2320, 2319 1816,2080, 2081, 2096, 2095, 2305, 2306, 2321, 2320 1817,2081, 2082, 2097, 2096, 2306, 2307, 2322, 2321 1818,2082, 2083, 2098, 2097, 2307, 2308, 2323, 2322 1819,2083, 2084, 2099, 2098, 2308, 2309, 2324, 2323 1820,2084, 2085, 2100, 2099, 2309, 2310, 2325, 2324 1821,2086, 2087, 2102, 2101, 2311, 2312, 2327, 2326 1822,2087, 2088, 2103, 2102, 2312, 2313, 2328, 2327 1823,2088, 2089, 2104, 2103, 2313, 2314, 2329, 2328 1824,2089, 2090, 2105, 2104, 2314, 2315, 2330, 2329 1825,2090, 2091, 2106, 2105, 2315, 2316, 2331, 2330 1826,2091, 2092, 2107, 2106, 2316, 2317, 2332, 2331 1827,2092, 2093, 2108, 2107, 2317, 2318, 2333, 2332 1828,2093, 2094, 2109, 2108, 2318, 2319, 2334, 2333 1829,2094, 2095, 2110, 2109, 2319, 2320, 2335, 2334 1830,2095, 2096, 2111, 2110, 2320, 2321, 2336, 2335 1831,2096, 2097, 2112, 2111, 2321, 2322, 2337, 2336 1832,2097, 2098, 2113, 2112, 2322, 2323, 2338, 2337 1833,2098, 2099, 2114, 2113, 2323, 2324, 2339, 2338 1834,2099, 2100, 2115, 2114, 2324, 2325, 2340, 2339 1835,2101, 2102, 2117, 2116, 2326, 2327, 2342, 2341 1836,2102, 2103, 2118, 2117, 2327, 2328, 2343, 2342 1837,2103, 2104, 2119, 2118, 2328, 2329, 2344, 2343 1838,2104, 2105, 2120, 2119, 2329, 2330, 2345, 2344 1839,2105, 2106, 2121, 2120, 2330, 2331, 2346, 2345 1840,2106, 2107, 2122, 2121, 2331, 2332, 2347, 2346 1841,2107, 2108, 2123, 2122, 2332, 2333, 2348, 2347 1842,2108, 2109, 2124, 2123, 2333, 2334, 2349, 2348 1843,2109, 2110, 2125, 2124, 2334, 2335, 2350, 2349 1844,2110, 2111, 2126, 2125, 2335, 2336, 2351, 2350 1845,2111, 2112, 2127, 2126, 2336, 2337, 2352, 2351 1846,2112, 2113, 2128, 2127, 2337, 2338, 2353, 2352 1847,2113, 2114, 2129, 2128, 2338, 2339, 2354, 2353 1848,2114, 2115, 2130, 2129, 2339, 2340, 2355, 2354 1849,2116, 2117, 2132, 2131, 2341, 2342, 2357, 2356 1850,2117, 2118, 2133, 2132, 2342, 2343, 2358, 2357 1851,2118, 2119, 2134, 2133, 2343, 2344, 2359, 2358 1852,2119, 2120, 2135, 2134, 2344, 2345, 2360, 2359 1853,2120, 2121, 2136, 2135, 2345, 2346, 2361, 2360 1854,2121, 2122, 2137, 2136, 2346, 2347, 2362, 2361 1855,2122, 2123, 2138, 2137, 2347, 2348, 2363, 2362 1856,2123, 2124, 2139, 2138, 2348, 2349, 2364, 2363 1857,2124, 2125, 2140, 2139, 2349, 2350, 2365, 2364 1858,2125, 2126, 2141, 2140, 2350, 2351, 2366, 2365 1859,2126, 2127, 2142, 2141, 2351, 2352, 2367, 2366 1860,2127, 2128, 2143, 2142, 2352, 2353, 2368, 2367 1861,2128, 2129, 2144, 2143, 2353, 2354, 2369, 2368 1862,2129, 2130, 2145, 2144, 2354, 2355, 2370, 2369 1863,2131, 2132, 2147, 2146, 2356, 2357, 2372, 2371 1864,2132, 2133, 2148, 2147, 2357, 2358, 2373, 2372 1865,2133, 2134, 2149, 2148, 2358, 2359, 2374, 2373 1866,2134, 2135, 2150, 2149, 2359, 2360, 2375, 2374 1867,2135, 2136, 2151, 2150, 2360, 2361, 2376, 2375 1868,2136, 2137, 2152, 2151, 2361, 2362, 2377, 2376 1869,2137, 2138, 2153, 2152, 2362, 2363, 2378, 2377 1870,2138, 2139, 2154, 2153, 2363, 2364, 2379, 2378 1871,2139, 2140, 2155, 2154, 2364, 2365, 2380, 2379 1872,2140, 2141, 2156, 2155, 2365, 2366, 2381, 2380 1873,2141, 2142, 2157, 2156, 2366, 2367, 2382, 2381 1874,2142, 2143, 2158, 2157, 2367, 2368, 2383, 2382 1875,2143, 2144, 2159, 2158, 2368, 2369, 2384, 2383 1876,2144, 2145, 2160, 2159, 2369, 2370, 2385, 2384 1877,2146, 2147, 2162, 2161, 2371, 2372, 2387, 2386 1878,2147, 2148, 2163, 2162, 2372, 2373, 2388, 2387 1879,2148, 2149, 2164, 2163, 2373, 2374, 2389, 2388 1880,2149, 2150, 2165, 2164, 2374, 2375, 2390, 2389 1881,2150, 2151, 2166, 2165, 2375, 2376, 2391, 2390 1882,2151, 2152, 2167, 2166, 2376, 2377, 2392, 2391 1883,2152, 2153, 2168, 2167, 2377, 2378, 2393, 2392 1884,2153, 2154, 2169, 2168, 2378, 2379, 2394, 2393 1885,2154, 2155, 2170, 2169, 2379, 2380, 2395, 2394 1886,2155, 2156, 2171, 2170, 2380, 2381, 2396, 2395 1887,2156, 2157, 2172, 2171, 2381, 2382, 2397, 2396 1888,2157, 2158, 2173, 2172, 2382, 2383, 2398, 2397 1889,2158, 2159, 2174, 2173, 2383, 2384, 2399, 2398 1890,2159, 2160, 2175, 2174, 2384, 2385, 2400, 2399 1891,2161, 2162, 2177, 2176, 2386, 2387, 2402, 2401 1892,2162, 2163, 2178, 2177, 2387, 2388, 2403, 2402 1893,2163, 2164, 2179, 2178, 2388, 2389, 2404, 2403 1894,2164, 2165, 2180, 2179, 2389, 2390, 2405, 2404 1895,2165, 2166, 2181, 2180, 2390, 2391, 2406, 2405 1896,2166, 2167, 2182, 2181, 2391, 2392, 2407, 2406 1897,2167, 2168, 2183, 2182, 2392, 2393, 2408, 2407 1898,2168, 2169, 2184, 2183, 2393, 2394, 2409, 2408 1899,2169, 2170, 2185, 2184, 2394, 2395, 2410, 2409 1900,2170, 2171, 2186, 2185, 2395, 2396, 2411, 2410 1901,2171, 2172, 2187, 2186, 2396, 2397, 2412, 2411 1902,2172, 2173, 2188, 2187, 2397, 2398, 2413, 2412 1903,2173, 2174, 2189, 2188, 2398, 2399, 2414, 2413 1904,2174, 2175, 2190, 2189, 2399, 2400, 2415, 2414 1905,2176, 2177, 2192, 2191, 2401, 2402, 2417, 2416 1906,2177, 2178, 2193, 2192, 2402, 2403, 2418, 2417 1907,2178, 2179, 2194, 2193, 2403, 2404, 2419, 2418 1908,2179, 2180, 2195, 2194, 2404, 2405, 2420, 2419 1909,2180, 2181, 2196, 2195, 2405, 2406, 2421, 2420 1910,2181, 2182, 2197, 2196, 2406, 2407, 2422, 2421 1911,2182, 2183, 2198, 2197, 2407, 2408, 2423, 2422 1912,2183, 2184, 2199, 2198, 2408, 2409, 2424, 2423 1913,2184, 2185, 2200, 2199, 2409, 2410, 2425, 2424 1914,2185, 2186, 2201, 2200, 2410, 2411, 2426, 2425 1915,2186, 2187, 2202, 2201, 2411, 2412, 2427, 2426 1916,2187, 2188, 2203, 2202, 2412, 2413, 2428, 2427 1917,2188, 2189, 2204, 2203, 2413, 2414, 2429, 2428 1918,2189, 2190, 2205, 2204, 2414, 2415, 2430, 2429 1919,2191, 2192, 2207, 2206, 2416, 2417, 2432, 2431 1920,2192, 2193, 2208, 2207, 2417, 2418, 2433, 2432 1921,2193, 2194, 2209, 2208, 2418, 2419, 2434, 2433 1922,2194, 2195, 2210, 2209, 2419, 2420, 2435, 2434 1923,2195, 2196, 2211, 2210, 2420, 2421, 2436, 2435 1924,2196, 2197, 2212, 2211, 2421, 2422, 2437, 2436 1925,2197, 2198, 2213, 2212, 2422, 2423, 2438, 2437 1926,2198, 2199, 2214, 2213, 2423, 2424, 2439, 2438 1927,2199, 2200, 2215, 2214, 2424, 2425, 2440, 2439 1928,2200, 2201, 2216, 2215, 2425, 2426, 2441, 2440 1929,2201, 2202, 2217, 2216, 2426, 2427, 2442, 2441 1930,2202, 2203, 2218, 2217, 2427, 2428, 2443, 2442 1931,2203, 2204, 2219, 2218, 2428, 2429, 2444, 2443 1932,2204, 2205, 2220, 2219, 2429, 2430, 2445, 2444 1933,2206, 2207, 2222, 2221, 2431, 2432, 2447, 2446 1934,2207, 2208, 2223, 2222, 2432, 2433, 2448, 2447 1935,2208, 2209, 2224, 2223, 2433, 2434, 2449, 2448 1936,2209, 2210, 2225, 2224, 2434, 2435, 2450, 2449 1937,2210, 2211, 2226, 2225, 2435, 2436, 2451, 2450 1938,2211, 2212, 2227, 2226, 2436, 2437, 2452, 2451 1939,2212, 2213, 2228, 2227, 2437, 2438, 2453, 2452 1940,2213, 2214, 2229, 2228, 2438, 2439, 2454, 2453 1941,2214, 2215, 2230, 2229, 2439, 2440, 2455, 2454 1942,2215, 2216, 2231, 2230, 2440, 2441, 2456, 2455 1943,2216, 2217, 2232, 2231, 2441, 2442, 2457, 2456 1944,2217, 2218, 2233, 2232, 2442, 2443, 2458, 2457 1945,2218, 2219, 2234, 2233, 2443, 2444, 2459, 2458 1946,2219, 2220, 2235, 2234, 2444, 2445, 2460, 2459 1947,2221, 2222, 2237, 2236, 2446, 2447, 2462, 2461 1948,2222, 2223, 2238, 2237, 2447, 2448, 2463, 2462 1949,2223, 2224, 2239, 2238, 2448, 2449, 2464, 2463 1950,2224, 2225, 2240, 2239, 2449, 2450, 2465, 2464 1951,2225, 2226, 2241, 2240, 2450, 2451, 2466, 2465 1952,2226, 2227, 2242, 2241, 2451, 2452, 2467, 2466 1953,2227, 2228, 2243, 2242, 2452, 2453, 2468, 2467 1954,2228, 2229, 2244, 2243, 2453, 2454, 2469, 2468 1955,2229, 2230, 2245, 2244, 2454, 2455, 2470, 2469 1956,2230, 2231, 2246, 2245, 2455, 2456, 2471, 2470 1957,2231, 2232, 2247, 2246, 2456, 2457, 2472, 2471 1958,2232, 2233, 2248, 2247, 2457, 2458, 2473, 2472 1959,2233, 2234, 2249, 2248, 2458, 2459, 2474, 2473 1960,2234, 2235, 2250, 2249, 2459, 2460, 2475, 2474 1961,2251, 2252, 2267, 2266, 2476, 2477, 2492, 2491 1962,2252, 2253, 2268, 2267, 2477, 2478, 2493, 2492 1963,2253, 2254, 2269, 2268, 2478, 2479, 2494, 2493 1964,2254, 2255, 2270, 2269, 2479, 2480, 2495, 2494 1965,2255, 2256, 2271, 2270, 2480, 2481, 2496, 2495 1966,2256, 2257, 2272, 2271, 2481, 2482, 2497, 2496 1967,2257, 2258, 2273, 2272, 2482, 2483, 2498, 2497 1968,2258, 2259, 2274, 2273, 2483, 2484, 2499, 2498 1969,2259, 2260, 2275, 2274, 2484, 2485, 2500, 2499 1970,2260, 2261, 2276, 2275, 2485, 2486, 2501, 2500 1971,2261, 2262, 2277, 2276, 2486, 2487, 2502, 2501 1972,2262, 2263, 2278, 2277, 2487, 2488, 2503, 2502 1973,2263, 2264, 2279, 2278, 2488, 2489, 2504, 2503 1974,2264, 2265, 2280, 2279, 2489, 2490, 2505, 2504 1975,2266, 2267, 2282, 2281, 2491, 2492, 2507, 2506 1976,2267, 2268, 2283, 2282, 2492, 2493, 2508, 2507 1977,2268, 2269, 2284, 2283, 2493, 2494, 2509, 2508 1978,2269, 2270, 2285, 2284, 2494, 2495, 2510, 2509 1979,2270, 2271, 2286, 2285, 2495, 2496, 2511, 2510 1980,2271, 2272, 2287, 2286, 2496, 2497, 2512, 2511 1981,2272, 2273, 2288, 2287, 2497, 2498, 2513, 2512 1982,2273, 2274, 2289, 2288, 2498, 2499, 2514, 2513 1983,2274, 2275, 2290, 2289, 2499, 2500, 2515, 2514 1984,2275, 2276, 2291, 2290, 2500, 2501, 2516, 2515 1985,2276, 2277, 2292, 2291, 2501, 2502, 2517, 2516 1986,2277, 2278, 2293, 2292, 2502, 2503, 2518, 2517 1987,2278, 2279, 2294, 2293, 2503, 2504, 2519, 2518 1988,2279, 2280, 2295, 2294, 2504, 2505, 2520, 2519 1989,2281, 2282, 2297, 2296, 2506, 2507, 2522, 2521 1990,2282, 2283, 2298, 2297, 2507, 2508, 2523, 2522 1991,2283, 2284, 2299, 2298, 2508, 2509, 2524, 2523 1992,2284, 2285, 2300, 2299, 2509, 2510, 2525, 2524 1993,2285, 2286, 2301, 2300, 2510, 2511, 2526, 2525 1994,2286, 2287, 2302, 2301, 2511, 2512, 2527, 2526 1995,2287, 2288, 2303, 2302, 2512, 2513, 2528, 2527 1996,2288, 2289, 2304, 2303, 2513, 2514, 2529, 2528 1997,2289, 2290, 2305, 2304, 2514, 2515, 2530, 2529 1998,2290, 2291, 2306, 2305, 2515, 2516, 2531, 2530 1999,2291, 2292, 2307, 2306, 2516, 2517, 2532, 2531 2000,2292, 2293, 2308, 2307, 2517, 2518, 2533, 2532 2001,2293, 2294, 2309, 2308, 2518, 2519, 2534, 2533 2002,2294, 2295, 2310, 2309, 2519, 2520, 2535, 2534 2003,2296, 2297, 2312, 2311, 2521, 2522, 2537, 2536 2004,2297, 2298, 2313, 2312, 2522, 2523, 2538, 2537 2005,2298, 2299, 2314, 2313, 2523, 2524, 2539, 2538 2006,2299, 2300, 2315, 2314, 2524, 2525, 2540, 2539 2007,2300, 2301, 2316, 2315, 2525, 2526, 2541, 2540 2008,2301, 2302, 2317, 2316, 2526, 2527, 2542, 2541 2009,2302, 2303, 2318, 2317, 2527, 2528, 2543, 2542 2010,2303, 2304, 2319, 2318, 2528, 2529, 2544, 2543 2011,2304, 2305, 2320, 2319, 2529, 2530, 2545, 2544 2012,2305, 2306, 2321, 2320, 2530, 2531, 2546, 2545 2013,2306, 2307, 2322, 2321, 2531, 2532, 2547, 2546 2014,2307, 2308, 2323, 2322, 2532, 2533, 2548, 2547 2015,2308, 2309, 2324, 2323, 2533, 2534, 2549, 2548 2016,2309, 2310, 2325, 2324, 2534, 2535, 2550, 2549 2017,2311, 2312, 2327, 2326, 2536, 2537, 2552, 2551 2018,2312, 2313, 2328, 2327, 2537, 2538, 2553, 2552 2019,2313, 2314, 2329, 2328, 2538, 2539, 2554, 2553 2020,2314, 2315, 2330, 2329, 2539, 2540, 2555, 2554 2021,2315, 2316, 2331, 2330, 2540, 2541, 2556, 2555 2022,2316, 2317, 2332, 2331, 2541, 2542, 2557, 2556 2023,2317, 2318, 2333, 2332, 2542, 2543, 2558, 2557 2024,2318, 2319, 2334, 2333, 2543, 2544, 2559, 2558 2025,2319, 2320, 2335, 2334, 2544, 2545, 2560, 2559 2026,2320, 2321, 2336, 2335, 2545, 2546, 2561, 2560 2027,2321, 2322, 2337, 2336, 2546, 2547, 2562, 2561 2028,2322, 2323, 2338, 2337, 2547, 2548, 2563, 2562 2029,2323, 2324, 2339, 2338, 2548, 2549, 2564, 2563 2030,2324, 2325, 2340, 2339, 2549, 2550, 2565, 2564 2031,2326, 2327, 2342, 2341, 2551, 2552, 2567, 2566 2032,2327, 2328, 2343, 2342, 2552, 2553, 2568, 2567 2033,2328, 2329, 2344, 2343, 2553, 2554, 2569, 2568 2034,2329, 2330, 2345, 2344, 2554, 2555, 2570, 2569 2035,2330, 2331, 2346, 2345, 2555, 2556, 2571, 2570 2036,2331, 2332, 2347, 2346, 2556, 2557, 2572, 2571 2037,2332, 2333, 2348, 2347, 2557, 2558, 2573, 2572 2038,2333, 2334, 2349, 2348, 2558, 2559, 2574, 2573 2039,2334, 2335, 2350, 2349, 2559, 2560, 2575, 2574 2040,2335, 2336, 2351, 2350, 2560, 2561, 2576, 2575 2041,2336, 2337, 2352, 2351, 2561, 2562, 2577, 2576 2042,2337, 2338, 2353, 2352, 2562, 2563, 2578, 2577 2043,2338, 2339, 2354, 2353, 2563, 2564, 2579, 2578 2044,2339, 2340, 2355, 2354, 2564, 2565, 2580, 2579 2045,2341, 2342, 2357, 2356, 2566, 2567, 2582, 2581 2046,2342, 2343, 2358, 2357, 2567, 2568, 2583, 2582 2047,2343, 2344, 2359, 2358, 2568, 2569, 2584, 2583 2048,2344, 2345, 2360, 2359, 2569, 2570, 2585, 2584 2049,2345, 2346, 2361, 2360, 2570, 2571, 2586, 2585 2050,2346, 2347, 2362, 2361, 2571, 2572, 2587, 2586 2051,2347, 2348, 2363, 2362, 2572, 2573, 2588, 2587 2052,2348, 2349, 2364, 2363, 2573, 2574, 2589, 2588 2053,2349, 2350, 2365, 2364, 2574, 2575, 2590, 2589 2054,2350, 2351, 2366, 2365, 2575, 2576, 2591, 2590 2055,2351, 2352, 2367, 2366, 2576, 2577, 2592, 2591 2056,2352, 2353, 2368, 2367, 2577, 2578, 2593, 2592 2057,2353, 2354, 2369, 2368, 2578, 2579, 2594, 2593 2058,2354, 2355, 2370, 2369, 2579, 2580, 2595, 2594 2059,2356, 2357, 2372, 2371, 2581, 2582, 2597, 2596 2060,2357, 2358, 2373, 2372, 2582, 2583, 2598, 2597 2061,2358, 2359, 2374, 2373, 2583, 2584, 2599, 2598 2062,2359, 2360, 2375, 2374, 2584, 2585, 2600, 2599 2063,2360, 2361, 2376, 2375, 2585, 2586, 2601, 2600 2064,2361, 2362, 2377, 2376, 2586, 2587, 2602, 2601 2065,2362, 2363, 2378, 2377, 2587, 2588, 2603, 2602 2066,2363, 2364, 2379, 2378, 2588, 2589, 2604, 2603 2067,2364, 2365, 2380, 2379, 2589, 2590, 2605, 2604 2068,2365, 2366, 2381, 2380, 2590, 2591, 2606, 2605 2069,2366, 2367, 2382, 2381, 2591, 2592, 2607, 2606 2070,2367, 2368, 2383, 2382, 2592, 2593, 2608, 2607 2071,2368, 2369, 2384, 2383, 2593, 2594, 2609, 2608 2072,2369, 2370, 2385, 2384, 2594, 2595, 2610, 2609 2073,2371, 2372, 2387, 2386, 2596, 2597, 2612, 2611 2074,2372, 2373, 2388, 2387, 2597, 2598, 2613, 2612 2075,2373, 2374, 2389, 2388, 2598, 2599, 2614, 2613 2076,2374, 2375, 2390, 2389, 2599, 2600, 2615, 2614 2077,2375, 2376, 2391, 2390, 2600, 2601, 2616, 2615 2078,2376, 2377, 2392, 2391, 2601, 2602, 2617, 2616 2079,2377, 2378, 2393, 2392, 2602, 2603, 2618, 2617 2080,2378, 2379, 2394, 2393, 2603, 2604, 2619, 2618 2081,2379, 2380, 2395, 2394, 2604, 2605, 2620, 2619 2082,2380, 2381, 2396, 2395, 2605, 2606, 2621, 2620 2083,2381, 2382, 2397, 2396, 2606, 2607, 2622, 2621 2084,2382, 2383, 2398, 2397, 2607, 2608, 2623, 2622 2085,2383, 2384, 2399, 2398, 2608, 2609, 2624, 2623 2086,2384, 2385, 2400, 2399, 2609, 2610, 2625, 2624 2087,2386, 2387, 2402, 2401, 2611, 2612, 2627, 2626 2088,2387, 2388, 2403, 2402, 2612, 2613, 2628, 2627 2089,2388, 2389, 2404, 2403, 2613, 2614, 2629, 2628 2090,2389, 2390, 2405, 2404, 2614, 2615, 2630, 2629 2091,2390, 2391, 2406, 2405, 2615, 2616, 2631, 2630 2092,2391, 2392, 2407, 2406, 2616, 2617, 2632, 2631 2093,2392, 2393, 2408, 2407, 2617, 2618, 2633, 2632 2094,2393, 2394, 2409, 2408, 2618, 2619, 2634, 2633 2095,2394, 2395, 2410, 2409, 2619, 2620, 2635, 2634 2096,2395, 2396, 2411, 2410, 2620, 2621, 2636, 2635 2097,2396, 2397, 2412, 2411, 2621, 2622, 2637, 2636 2098,2397, 2398, 2413, 2412, 2622, 2623, 2638, 2637 2099,2398, 2399, 2414, 2413, 2623, 2624, 2639, 2638 2100,2399, 2400, 2415, 2414, 2624, 2625, 2640, 2639 2101,2401, 2402, 2417, 2416, 2626, 2627, 2642, 2641 2102,2402, 2403, 2418, 2417, 2627, 2628, 2643, 2642 2103,2403, 2404, 2419, 2418, 2628, 2629, 2644, 2643 2104,2404, 2405, 2420, 2419, 2629, 2630, 2645, 2644 2105,2405, 2406, 2421, 2420, 2630, 2631, 2646, 2645 2106,2406, 2407, 2422, 2421, 2631, 2632, 2647, 2646 2107,2407, 2408, 2423, 2422, 2632, 2633, 2648, 2647 2108,2408, 2409, 2424, 2423, 2633, 2634, 2649, 2648 2109,2409, 2410, 2425, 2424, 2634, 2635, 2650, 2649 2110,2410, 2411, 2426, 2425, 2635, 2636, 2651, 2650 2111,2411, 2412, 2427, 2426, 2636, 2637, 2652, 2651 2112,2412, 2413, 2428, 2427, 2637, 2638, 2653, 2652 2113,2413, 2414, 2429, 2428, 2638, 2639, 2654, 2653 2114,2414, 2415, 2430, 2429, 2639, 2640, 2655, 2654 2115,2416, 2417, 2432, 2431, 2641, 2642, 2657, 2656 2116,2417, 2418, 2433, 2432, 2642, 2643, 2658, 2657 2117,2418, 2419, 2434, 2433, 2643, 2644, 2659, 2658 2118,2419, 2420, 2435, 2434, 2644, 2645, 2660, 2659 2119,2420, 2421, 2436, 2435, 2645, 2646, 2661, 2660 2120,2421, 2422, 2437, 2436, 2646, 2647, 2662, 2661 2121,2422, 2423, 2438, 2437, 2647, 2648, 2663, 2662 2122,2423, 2424, 2439, 2438, 2648, 2649, 2664, 2663 2123,2424, 2425, 2440, 2439, 2649, 2650, 2665, 2664 2124,2425, 2426, 2441, 2440, 2650, 2651, 2666, 2665 2125,2426, 2427, 2442, 2441, 2651, 2652, 2667, 2666 2126,2427, 2428, 2443, 2442, 2652, 2653, 2668, 2667 2127,2428, 2429, 2444, 2443, 2653, 2654, 2669, 2668 2128,2429, 2430, 2445, 2444, 2654, 2655, 2670, 2669 2129,2431, 2432, 2447, 2446, 2656, 2657, 2672, 2671 2130,2432, 2433, 2448, 2447, 2657, 2658, 2673, 2672 2131,2433, 2434, 2449, 2448, 2658, 2659, 2674, 2673 2132,2434, 2435, 2450, 2449, 2659, 2660, 2675, 2674 2133,2435, 2436, 2451, 2450, 2660, 2661, 2676, 2675 2134,2436, 2437, 2452, 2451, 2661, 2662, 2677, 2676 2135,2437, 2438, 2453, 2452, 2662, 2663, 2678, 2677 2136,2438, 2439, 2454, 2453, 2663, 2664, 2679, 2678 2137,2439, 2440, 2455, 2454, 2664, 2665, 2680, 2679 2138,2440, 2441, 2456, 2455, 2665, 2666, 2681, 2680 2139,2441, 2442, 2457, 2456, 2666, 2667, 2682, 2681 2140,2442, 2443, 2458, 2457, 2667, 2668, 2683, 2682 2141,2443, 2444, 2459, 2458, 2668, 2669, 2684, 2683 2142,2444, 2445, 2460, 2459, 2669, 2670, 2685, 2684 2143,2446, 2447, 2462, 2461, 2671, 2672, 2687, 2686 2144,2447, 2448, 2463, 2462, 2672, 2673, 2688, 2687 2145,2448, 2449, 2464, 2463, 2673, 2674, 2689, 2688 2146,2449, 2450, 2465, 2464, 2674, 2675, 2690, 2689 2147,2450, 2451, 2466, 2465, 2675, 2676, 2691, 2690 2148,2451, 2452, 2467, 2466, 2676, 2677, 2692, 2691 2149,2452, 2453, 2468, 2467, 2677, 2678, 2693, 2692 2150,2453, 2454, 2469, 2468, 2678, 2679, 2694, 2693 2151,2454, 2455, 2470, 2469, 2679, 2680, 2695, 2694 2152,2455, 2456, 2471, 2470, 2680, 2681, 2696, 2695 2153,2456, 2457, 2472, 2471, 2681, 2682, 2697, 2696 2154,2457, 2458, 2473, 2472, 2682, 2683, 2698, 2697 2155,2458, 2459, 2474, 2473, 2683, 2684, 2699, 2698 2156,2459, 2460, 2475, 2474, 2684, 2685, 2700, 2699 2157,2476, 2477, 2492, 2491, 2701, 2702, 2717, 2716 2158,2477, 2478, 2493, 2492, 2702, 2703, 2718, 2717 2159,2478, 2479, 2494, 2493, 2703, 2704, 2719, 2718 2160,2479, 2480, 2495, 2494, 2704, 2705, 2720, 2719 2161,2480, 2481, 2496, 2495, 2705, 2706, 2721, 2720 2162,2481, 2482, 2497, 2496, 2706, 2707, 2722, 2721 2163,2482, 2483, 2498, 2497, 2707, 2708, 2723, 2722 2164,2483, 2484, 2499, 2498, 2708, 2709, 2724, 2723 2165,2484, 2485, 2500, 2499, 2709, 2710, 2725, 2724 2166,2485, 2486, 2501, 2500, 2710, 2711, 2726, 2725 2167,2486, 2487, 2502, 2501, 2711, 2712, 2727, 2726 2168,2487, 2488, 2503, 2502, 2712, 2713, 2728, 2727 2169,2488, 2489, 2504, 2503, 2713, 2714, 2729, 2728 2170,2489, 2490, 2505, 2504, 2714, 2715, 2730, 2729 2171,2491, 2492, 2507, 2506, 2716, 2717, 2732, 2731 2172,2492, 2493, 2508, 2507, 2717, 2718, 2733, 2732 2173,2493, 2494, 2509, 2508, 2718, 2719, 2734, 2733 2174,2494, 2495, 2510, 2509, 2719, 2720, 2735, 2734 2175,2495, 2496, 2511, 2510, 2720, 2721, 2736, 2735 2176,2496, 2497, 2512, 2511, 2721, 2722, 2737, 2736 2177,2497, 2498, 2513, 2512, 2722, 2723, 2738, 2737 2178,2498, 2499, 2514, 2513, 2723, 2724, 2739, 2738 2179,2499, 2500, 2515, 2514, 2724, 2725, 2740, 2739 2180,2500, 2501, 2516, 2515, 2725, 2726, 2741, 2740 2181,2501, 2502, 2517, 2516, 2726, 2727, 2742, 2741 2182,2502, 2503, 2518, 2517, 2727, 2728, 2743, 2742 2183,2503, 2504, 2519, 2518, 2728, 2729, 2744, 2743 2184,2504, 2505, 2520, 2519, 2729, 2730, 2745, 2744 2185,2506, 2507, 2522, 2521, 2731, 2732, 2747, 2746 2186,2507, 2508, 2523, 2522, 2732, 2733, 2748, 2747 2187,2508, 2509, 2524, 2523, 2733, 2734, 2749, 2748 2188,2509, 2510, 2525, 2524, 2734, 2735, 2750, 2749 2189,2510, 2511, 2526, 2525, 2735, 2736, 2751, 2750 2190,2511, 2512, 2527, 2526, 2736, 2737, 2752, 2751 2191,2512, 2513, 2528, 2527, 2737, 2738, 2753, 2752 2192,2513, 2514, 2529, 2528, 2738, 2739, 2754, 2753 2193,2514, 2515, 2530, 2529, 2739, 2740, 2755, 2754 2194,2515, 2516, 2531, 2530, 2740, 2741, 2756, 2755 2195,2516, 2517, 2532, 2531, 2741, 2742, 2757, 2756 2196,2517, 2518, 2533, 2532, 2742, 2743, 2758, 2757 2197,2518, 2519, 2534, 2533, 2743, 2744, 2759, 2758 2198,2519, 2520, 2535, 2534, 2744, 2745, 2760, 2759 2199,2521, 2522, 2537, 2536, 2746, 2747, 2762, 2761 2200,2522, 2523, 2538, 2537, 2747, 2748, 2763, 2762 2201,2523, 2524, 2539, 2538, 2748, 2749, 2764, 2763 2202,2524, 2525, 2540, 2539, 2749, 2750, 2765, 2764 2203,2525, 2526, 2541, 2540, 2750, 2751, 2766, 2765 2204,2526, 2527, 2542, 2541, 2751, 2752, 2767, 2766 2205,2527, 2528, 2543, 2542, 2752, 2753, 2768, 2767 2206,2528, 2529, 2544, 2543, 2753, 2754, 2769, 2768 2207,2529, 2530, 2545, 2544, 2754, 2755, 2770, 2769 2208,2530, 2531, 2546, 2545, 2755, 2756, 2771, 2770 2209,2531, 2532, 2547, 2546, 2756, 2757, 2772, 2771 2210,2532, 2533, 2548, 2547, 2757, 2758, 2773, 2772 2211,2533, 2534, 2549, 2548, 2758, 2759, 2774, 2773 2212,2534, 2535, 2550, 2549, 2759, 2760, 2775, 2774 2213,2536, 2537, 2552, 2551, 2761, 2762, 2777, 2776 2214,2537, 2538, 2553, 2552, 2762, 2763, 2778, 2777 2215,2538, 2539, 2554, 2553, 2763, 2764, 2779, 2778 2216,2539, 2540, 2555, 2554, 2764, 2765, 2780, 2779 2217,2540, 2541, 2556, 2555, 2765, 2766, 2781, 2780 2218,2541, 2542, 2557, 2556, 2766, 2767, 2782, 2781 2219,2542, 2543, 2558, 2557, 2767, 2768, 2783, 2782 2220,2543, 2544, 2559, 2558, 2768, 2769, 2784, 2783 2221,2544, 2545, 2560, 2559, 2769, 2770, 2785, 2784 2222,2545, 2546, 2561, 2560, 2770, 2771, 2786, 2785 2223,2546, 2547, 2562, 2561, 2771, 2772, 2787, 2786 2224,2547, 2548, 2563, 2562, 2772, 2773, 2788, 2787 2225,2548, 2549, 2564, 2563, 2773, 2774, 2789, 2788 2226,2549, 2550, 2565, 2564, 2774, 2775, 2790, 2789 2227,2551, 2552, 2567, 2566, 2776, 2777, 2792, 2791 2228,2552, 2553, 2568, 2567, 2777, 2778, 2793, 2792 2229,2553, 2554, 2569, 2568, 2778, 2779, 2794, 2793 2230,2554, 2555, 2570, 2569, 2779, 2780, 2795, 2794 2231,2555, 2556, 2571, 2570, 2780, 2781, 2796, 2795 2232,2556, 2557, 2572, 2571, 2781, 2782, 2797, 2796 2233,2557, 2558, 2573, 2572, 2782, 2783, 2798, 2797 2234,2558, 2559, 2574, 2573, 2783, 2784, 2799, 2798 2235,2559, 2560, 2575, 2574, 2784, 2785, 2800, 2799 2236,2560, 2561, 2576, 2575, 2785, 2786, 2801, 2800 2237,2561, 2562, 2577, 2576, 2786, 2787, 2802, 2801 2238,2562, 2563, 2578, 2577, 2787, 2788, 2803, 2802 2239,2563, 2564, 2579, 2578, 2788, 2789, 2804, 2803 2240,2564, 2565, 2580, 2579, 2789, 2790, 2805, 2804 2241,2566, 2567, 2582, 2581, 2791, 2792, 2807, 2806 2242,2567, 2568, 2583, 2582, 2792, 2793, 2808, 2807 2243,2568, 2569, 2584, 2583, 2793, 2794, 2809, 2808 2244,2569, 2570, 2585, 2584, 2794, 2795, 2810, 2809 2245,2570, 2571, 2586, 2585, 2795, 2796, 2811, 2810 2246,2571, 2572, 2587, 2586, 2796, 2797, 2812, 2811 2247,2572, 2573, 2588, 2587, 2797, 2798, 2813, 2812 2248,2573, 2574, 2589, 2588, 2798, 2799, 2814, 2813 2249,2574, 2575, 2590, 2589, 2799, 2800, 2815, 2814 2250,2575, 2576, 2591, 2590, 2800, 2801, 2816, 2815 2251,2576, 2577, 2592, 2591, 2801, 2802, 2817, 2816 2252,2577, 2578, 2593, 2592, 2802, 2803, 2818, 2817 2253,2578, 2579, 2594, 2593, 2803, 2804, 2819, 2818 2254,2579, 2580, 2595, 2594, 2804, 2805, 2820, 2819 2255,2581, 2582, 2597, 2596, 2806, 2807, 2822, 2821 2256,2582, 2583, 2598, 2597, 2807, 2808, 2823, 2822 2257,2583, 2584, 2599, 2598, 2808, 2809, 2824, 2823 2258,2584, 2585, 2600, 2599, 2809, 2810, 2825, 2824 2259,2585, 2586, 2601, 2600, 2810, 2811, 2826, 2825 2260,2586, 2587, 2602, 2601, 2811, 2812, 2827, 2826 2261,2587, 2588, 2603, 2602, 2812, 2813, 2828, 2827 2262,2588, 2589, 2604, 2603, 2813, 2814, 2829, 2828 2263,2589, 2590, 2605, 2604, 2814, 2815, 2830, 2829 2264,2590, 2591, 2606, 2605, 2815, 2816, 2831, 2830 2265,2591, 2592, 2607, 2606, 2816, 2817, 2832, 2831 2266,2592, 2593, 2608, 2607, 2817, 2818, 2833, 2832 2267,2593, 2594, 2609, 2608, 2818, 2819, 2834, 2833 2268,2594, 2595, 2610, 2609, 2819, 2820, 2835, 2834 2269,2596, 2597, 2612, 2611, 2821, 2822, 2837, 2836 2270,2597, 2598, 2613, 2612, 2822, 2823, 2838, 2837 2271,2598, 2599, 2614, 2613, 2823, 2824, 2839, 2838 2272,2599, 2600, 2615, 2614, 2824, 2825, 2840, 2839 2273,2600, 2601, 2616, 2615, 2825, 2826, 2841, 2840 2274,2601, 2602, 2617, 2616, 2826, 2827, 2842, 2841 2275,2602, 2603, 2618, 2617, 2827, 2828, 2843, 2842 2276,2603, 2604, 2619, 2618, 2828, 2829, 2844, 2843 2277,2604, 2605, 2620, 2619, 2829, 2830, 2845, 2844 2278,2605, 2606, 2621, 2620, 2830, 2831, 2846, 2845 2279,2606, 2607, 2622, 2621, 2831, 2832, 2847, 2846 2280,2607, 2608, 2623, 2622, 2832, 2833, 2848, 2847 2281,2608, 2609, 2624, 2623, 2833, 2834, 2849, 2848 2282,2609, 2610, 2625, 2624, 2834, 2835, 2850, 2849 2283,2611, 2612, 2627, 2626, 2836, 2837, 2852, 2851 2284,2612, 2613, 2628, 2627, 2837, 2838, 2853, 2852 2285,2613, 2614, 2629, 2628, 2838, 2839, 2854, 2853 2286,2614, 2615, 2630, 2629, 2839, 2840, 2855, 2854 2287,2615, 2616, 2631, 2630, 2840, 2841, 2856, 2855 2288,2616, 2617, 2632, 2631, 2841, 2842, 2857, 2856 2289,2617, 2618, 2633, 2632, 2842, 2843, 2858, 2857 2290,2618, 2619, 2634, 2633, 2843, 2844, 2859, 2858 2291,2619, 2620, 2635, 2634, 2844, 2845, 2860, 2859 2292,2620, 2621, 2636, 2635, 2845, 2846, 2861, 2860 2293,2621, 2622, 2637, 2636, 2846, 2847, 2862, 2861 2294,2622, 2623, 2638, 2637, 2847, 2848, 2863, 2862 2295,2623, 2624, 2639, 2638, 2848, 2849, 2864, 2863 2296,2624, 2625, 2640, 2639, 2849, 2850, 2865, 2864 2297,2626, 2627, 2642, 2641, 2851, 2852, 2867, 2866 2298,2627, 2628, 2643, 2642, 2852, 2853, 2868, 2867 2299,2628, 2629, 2644, 2643, 2853, 2854, 2869, 2868 2300,2629, 2630, 2645, 2644, 2854, 2855, 2870, 2869 2301,2630, 2631, 2646, 2645, 2855, 2856, 2871, 2870 2302,2631, 2632, 2647, 2646, 2856, 2857, 2872, 2871 2303,2632, 2633, 2648, 2647, 2857, 2858, 2873, 2872 2304,2633, 2634, 2649, 2648, 2858, 2859, 2874, 2873 2305,2634, 2635, 2650, 2649, 2859, 2860, 2875, 2874 2306,2635, 2636, 2651, 2650, 2860, 2861, 2876, 2875 2307,2636, 2637, 2652, 2651, 2861, 2862, 2877, 2876 2308,2637, 2638, 2653, 2652, 2862, 2863, 2878, 2877 2309,2638, 2639, 2654, 2653, 2863, 2864, 2879, 2878 2310,2639, 2640, 2655, 2654, 2864, 2865, 2880, 2879 2311,2641, 2642, 2657, 2656, 2866, 2867, 2882, 2881 2312,2642, 2643, 2658, 2657, 2867, 2868, 2883, 2882 2313,2643, 2644, 2659, 2658, 2868, 2869, 2884, 2883 2314,2644, 2645, 2660, 2659, 2869, 2870, 2885, 2884 2315,2645, 2646, 2661, 2660, 2870, 2871, 2886, 2885 2316,2646, 2647, 2662, 2661, 2871, 2872, 2887, 2886 2317,2647, 2648, 2663, 2662, 2872, 2873, 2888, 2887 2318,2648, 2649, 2664, 2663, 2873, 2874, 2889, 2888 2319,2649, 2650, 2665, 2664, 2874, 2875, 2890, 2889 2320,2650, 2651, 2666, 2665, 2875, 2876, 2891, 2890 2321,2651, 2652, 2667, 2666, 2876, 2877, 2892, 2891 2322,2652, 2653, 2668, 2667, 2877, 2878, 2893, 2892 2323,2653, 2654, 2669, 2668, 2878, 2879, 2894, 2893 2324,2654, 2655, 2670, 2669, 2879, 2880, 2895, 2894 2325,2656, 2657, 2672, 2671, 2881, 2882, 2897, 2896 2326,2657, 2658, 2673, 2672, 2882, 2883, 2898, 2897 2327,2658, 2659, 2674, 2673, 2883, 2884, 2899, 2898 2328,2659, 2660, 2675, 2674, 2884, 2885, 2900, 2899 2329,2660, 2661, 2676, 2675, 2885, 2886, 2901, 2900 2330,2661, 2662, 2677, 2676, 2886, 2887, 2902, 2901 2331,2662, 2663, 2678, 2677, 2887, 2888, 2903, 2902 2332,2663, 2664, 2679, 2678, 2888, 2889, 2904, 2903 2333,2664, 2665, 2680, 2679, 2889, 2890, 2905, 2904 2334,2665, 2666, 2681, 2680, 2890, 2891, 2906, 2905 2335,2666, 2667, 2682, 2681, 2891, 2892, 2907, 2906 2336,2667, 2668, 2683, 2682, 2892, 2893, 2908, 2907 2337,2668, 2669, 2684, 2683, 2893, 2894, 2909, 2908 2338,2669, 2670, 2685, 2684, 2894, 2895, 2910, 2909 2339,2671, 2672, 2687, 2686, 2896, 2897, 2912, 2911 2340,2672, 2673, 2688, 2687, 2897, 2898, 2913, 2912 2341,2673, 2674, 2689, 2688, 2898, 2899, 2914, 2913 2342,2674, 2675, 2690, 2689, 2899, 2900, 2915, 2914 2343,2675, 2676, 2691, 2690, 2900, 2901, 2916, 2915 2344,2676, 2677, 2692, 2691, 2901, 2902, 2917, 2916 2345,2677, 2678, 2693, 2692, 2902, 2903, 2918, 2917 2346,2678, 2679, 2694, 2693, 2903, 2904, 2919, 2918 2347,2679, 2680, 2695, 2694, 2904, 2905, 2920, 2919 2348,2680, 2681, 2696, 2695, 2905, 2906, 2921, 2920 2349,2681, 2682, 2697, 2696, 2906, 2907, 2922, 2921 2350,2682, 2683, 2698, 2697, 2907, 2908, 2923, 2922 2351,2683, 2684, 2699, 2698, 2908, 2909, 2924, 2923 2352,2684, 2685, 2700, 2699, 2909, 2910, 2925, 2924 2353,2701, 2702, 2717, 2716, 2926, 2927, 2942, 2941 2354,2702, 2703, 2718, 2717, 2927, 2928, 2943, 2942 2355,2703, 2704, 2719, 2718, 2928, 2929, 2944, 2943 2356,2704, 2705, 2720, 2719, 2929, 2930, 2945, 2944 2357,2705, 2706, 2721, 2720, 2930, 2931, 2946, 2945 2358,2706, 2707, 2722, 2721, 2931, 2932, 2947, 2946 2359,2707, 2708, 2723, 2722, 2932, 2933, 2948, 2947 2360,2708, 2709, 2724, 2723, 2933, 2934, 2949, 2948 2361,2709, 2710, 2725, 2724, 2934, 2935, 2950, 2949 2362,2710, 2711, 2726, 2725, 2935, 2936, 2951, 2950 2363,2711, 2712, 2727, 2726, 2936, 2937, 2952, 2951 2364,2712, 2713, 2728, 2727, 2937, 2938, 2953, 2952 2365,2713, 2714, 2729, 2728, 2938, 2939, 2954, 2953 2366,2714, 2715, 2730, 2729, 2939, 2940, 2955, 2954 2367,2716, 2717, 2732, 2731, 2941, 2942, 2957, 2956 2368,2717, 2718, 2733, 2732, 2942, 2943, 2958, 2957 2369,2718, 2719, 2734, 2733, 2943, 2944, 2959, 2958 2370,2719, 2720, 2735, 2734, 2944, 2945, 2960, 2959 2371,2720, 2721, 2736, 2735, 2945, 2946, 2961, 2960 2372,2721, 2722, 2737, 2736, 2946, 2947, 2962, 2961 2373,2722, 2723, 2738, 2737, 2947, 2948, 2963, 2962 2374,2723, 2724, 2739, 2738, 2948, 2949, 2964, 2963 2375,2724, 2725, 2740, 2739, 2949, 2950, 2965, 2964 2376,2725, 2726, 2741, 2740, 2950, 2951, 2966, 2965 2377,2726, 2727, 2742, 2741, 2951, 2952, 2967, 2966 2378,2727, 2728, 2743, 2742, 2952, 2953, 2968, 2967 2379,2728, 2729, 2744, 2743, 2953, 2954, 2969, 2968 2380,2729, 2730, 2745, 2744, 2954, 2955, 2970, 2969 2381,2731, 2732, 2747, 2746, 2956, 2957, 2972, 2971 2382,2732, 2733, 2748, 2747, 2957, 2958, 2973, 2972 2383,2733, 2734, 2749, 2748, 2958, 2959, 2974, 2973 2384,2734, 2735, 2750, 2749, 2959, 2960, 2975, 2974 2385,2735, 2736, 2751, 2750, 2960, 2961, 2976, 2975 2386,2736, 2737, 2752, 2751, 2961, 2962, 2977, 2976 2387,2737, 2738, 2753, 2752, 2962, 2963, 2978, 2977 2388,2738, 2739, 2754, 2753, 2963, 2964, 2979, 2978 2389,2739, 2740, 2755, 2754, 2964, 2965, 2980, 2979 2390,2740, 2741, 2756, 2755, 2965, 2966, 2981, 2980 2391,2741, 2742, 2757, 2756, 2966, 2967, 2982, 2981 2392,2742, 2743, 2758, 2757, 2967, 2968, 2983, 2982 2393,2743, 2744, 2759, 2758, 2968, 2969, 2984, 2983 2394,2744, 2745, 2760, 2759, 2969, 2970, 2985, 2984 2395,2746, 2747, 2762, 2761, 2971, 2972, 2987, 2986 2396,2747, 2748, 2763, 2762, 2972, 2973, 2988, 2987 2397,2748, 2749, 2764, 2763, 2973, 2974, 2989, 2988 2398,2749, 2750, 2765, 2764, 2974, 2975, 2990, 2989 2399,2750, 2751, 2766, 2765, 2975, 2976, 2991, 2990 2400,2751, 2752, 2767, 2766, 2976, 2977, 2992, 2991 2401,2752, 2753, 2768, 2767, 2977, 2978, 2993, 2992 2402,2753, 2754, 2769, 2768, 2978, 2979, 2994, 2993 2403,2754, 2755, 2770, 2769, 2979, 2980, 2995, 2994 2404,2755, 2756, 2771, 2770, 2980, 2981, 2996, 2995 2405,2756, 2757, 2772, 2771, 2981, 2982, 2997, 2996 2406,2757, 2758, 2773, 2772, 2982, 2983, 2998, 2997 2407,2758, 2759, 2774, 2773, 2983, 2984, 2999, 2998 2408,2759, 2760, 2775, 2774, 2984, 2985, 3000, 2999 2409,2761, 2762, 2777, 2776, 2986, 2987, 3002, 3001 2410,2762, 2763, 2778, 2777, 2987, 2988, 3003, 3002 2411,2763, 2764, 2779, 2778, 2988, 2989, 3004, 3003 2412,2764, 2765, 2780, 2779, 2989, 2990, 3005, 3004 2413,2765, 2766, 2781, 2780, 2990, 2991, 3006, 3005 2414,2766, 2767, 2782, 2781, 2991, 2992, 3007, 3006 2415,2767, 2768, 2783, 2782, 2992, 2993, 3008, 3007 2416,2768, 2769, 2784, 2783, 2993, 2994, 3009, 3008 2417,2769, 2770, 2785, 2784, 2994, 2995, 3010, 3009 2418,2770, 2771, 2786, 2785, 2995, 2996, 3011, 3010 2419,2771, 2772, 2787, 2786, 2996, 2997, 3012, 3011 2420,2772, 2773, 2788, 2787, 2997, 2998, 3013, 3012 2421,2773, 2774, 2789, 2788, 2998, 2999, 3014, 3013 2422,2774, 2775, 2790, 2789, 2999, 3000, 3015, 3014 2423,2776, 2777, 2792, 2791, 3001, 3002, 3017, 3016 2424,2777, 2778, 2793, 2792, 3002, 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2655,3039, 3040, 3055, 3054, 3264, 3265, 3280, 3279 2656,3040, 3041, 3056, 3055, 3265, 3266, 3281, 3280 2657,3041, 3042, 3057, 3056, 3266, 3267, 3282, 3281 2658,3042, 3043, 3058, 3057, 3267, 3268, 3283, 3282 2659,3043, 3044, 3059, 3058, 3268, 3269, 3284, 3283 2660,3044, 3045, 3060, 3059, 3269, 3270, 3285, 3284 2661,3046, 3047, 3062, 3061, 3271, 3272, 3287, 3286 2662,3047, 3048, 3063, 3062, 3272, 3273, 3288, 3287 2663,3048, 3049, 3064, 3063, 3273, 3274, 3289, 3288 2664,3049, 3050, 3065, 3064, 3274, 3275, 3290, 3289 2665,3050, 3051, 3066, 3065, 3275, 3276, 3291, 3290 2666,3051, 3052, 3067, 3066, 3276, 3277, 3292, 3291 2667,3052, 3053, 3068, 3067, 3277, 3278, 3293, 3292 2668,3053, 3054, 3069, 3068, 3278, 3279, 3294, 3293 2669,3054, 3055, 3070, 3069, 3279, 3280, 3295, 3294 2670,3055, 3056, 3071, 3070, 3280, 3281, 3296, 3295 2671,3056, 3057, 3072, 3071, 3281, 3282, 3297, 3296 2672,3057, 3058, 3073, 3072, 3282, 3283, 3298, 3297 2673,3058, 3059, 3074, 3073, 3283, 3284, 3299, 3298 2674,3059, 3060, 3075, 3074, 3284, 3285, 3300, 3299 2675,3061, 3062, 3077, 3076, 3286, 3287, 3302, 3301 2676,3062, 3063, 3078, 3077, 3287, 3288, 3303, 3302 2677,3063, 3064, 3079, 3078, 3288, 3289, 3304, 3303 2678,3064, 3065, 3080, 3079, 3289, 3290, 3305, 3304 2679,3065, 3066, 3081, 3080, 3290, 3291, 3306, 3305 2680,3066, 3067, 3082, 3081, 3291, 3292, 3307, 3306 2681,3067, 3068, 3083, 3082, 3292, 3293, 3308, 3307 2682,3068, 3069, 3084, 3083, 3293, 3294, 3309, 3308 2683,3069, 3070, 3085, 3084, 3294, 3295, 3310, 3309 2684,3070, 3071, 3086, 3085, 3295, 3296, 3311, 3310 2685,3071, 3072, 3087, 3086, 3296, 3297, 3312, 3311 2686,3072, 3073, 3088, 3087, 3297, 3298, 3313, 3312 2687,3073, 3074, 3089, 3088, 3298, 3299, 3314, 3313 2688,3074, 3075, 3090, 3089, 3299, 3300, 3315, 3314 2689,3076, 3077, 3092, 3091, 3301, 3302, 3317, 3316 2690,3077, 3078, 3093, 3092, 3302, 3303, 3318, 3317 2691,3078, 3079, 3094, 3093, 3303, 3304, 3319, 3318 2692,3079, 3080, 3095, 3094, 3304, 3305, 3320, 3319 2693,3080, 3081, 3096, 3095, 3305, 3306, 3321, 3320 2694,3081, 3082, 3097, 3096, 3306, 3307, 3322, 3321 2695,3082, 3083, 3098, 3097, 3307, 3308, 3323, 3322 2696,3083, 3084, 3099, 3098, 3308, 3309, 3324, 3323 2697,3084, 3085, 3100, 3099, 3309, 3310, 3325, 3324 2698,3085, 3086, 3101, 3100, 3310, 3311, 3326, 3325 2699,3086, 3087, 3102, 3101, 3311, 3312, 3327, 3326 2700,3087, 3088, 3103, 3102, 3312, 3313, 3328, 3327 2701,3088, 3089, 3104, 3103, 3313, 3314, 3329, 3328 2702,3089, 3090, 3105, 3104, 3314, 3315, 3330, 3329 2703,3091, 3092, 3107, 3106, 3316, 3317, 3332, 3331 2704,3092, 3093, 3108, 3107, 3317, 3318, 3333, 3332 2705,3093, 3094, 3109, 3108, 3318, 3319, 3334, 3333 2706,3094, 3095, 3110, 3109, 3319, 3320, 3335, 3334 2707,3095, 3096, 3111, 3110, 3320, 3321, 3336, 3335 2708,3096, 3097, 3112, 3111, 3321, 3322, 3337, 3336 2709,3097, 3098, 3113, 3112, 3322, 3323, 3338, 3337 2710,3098, 3099, 3114, 3113, 3323, 3324, 3339, 3338 2711,3099, 3100, 3115, 3114, 3324, 3325, 3340, 3339 2712,3100, 3101, 3116, 3115, 3325, 3326, 3341, 3340 2713,3101, 3102, 3117, 3116, 3326, 3327, 3342, 3341 2714,3102, 3103, 3118, 3117, 3327, 3328, 3343, 3342 2715,3103, 3104, 3119, 3118, 3328, 3329, 3344, 3343 2716,3104, 3105, 3120, 3119, 3329, 3330, 3345, 3344 2717,3106, 3107, 3122, 3121, 3331, 3332, 3347, 3346 2718,3107, 3108, 3123, 3122, 3332, 3333, 3348, 3347 2719,3108, 3109, 3124, 3123, 3333, 3334, 3349, 3348 2720,3109, 3110, 3125, 3124, 3334, 3335, 3350, 3349 2721,3110, 3111, 3126, 3125, 3335, 3336, 3351, 3350 2722,3111, 3112, 3127, 3126, 3336, 3337, 3352, 3351 2723,3112, 3113, 3128, 3127, 3337, 3338, 3353, 3352 2724,3113, 3114, 3129, 3128, 3338, 3339, 3354, 3353 2725,3114, 3115, 3130, 3129, 3339, 3340, 3355, 3354 2726,3115, 3116, 3131, 3130, 3340, 3341, 3356, 3355 2727,3116, 3117, 3132, 3131, 3341, 3342, 3357, 3356 2728,3117, 3118, 3133, 3132, 3342, 3343, 3358, 3357 2729,3118, 3119, 3134, 3133, 3343, 3344, 3359, 3358 2730,3119, 3120, 3135, 3134, 3344, 3345, 3360, 3359 2731,3121, 3122, 3137, 3136, 3346, 3347, 3362, 3361 2732,3122, 3123, 3138, 3137, 3347, 3348, 3363, 3362 2733,3123, 3124, 3139, 3138, 3348, 3349, 3364, 3363 2734,3124, 3125, 3140, 3139, 3349, 3350, 3365, 3364 2735,3125, 3126, 3141, 3140, 3350, 3351, 3366, 3365 2736,3126, 3127, 3142, 3141, 3351, 3352, 3367, 3366 2737,3127, 3128, 3143, 3142, 3352, 3353, 3368, 3367 2738,3128, 3129, 3144, 3143, 3353, 3354, 3369, 3368 2739,3129, 3130, 3145, 3144, 3354, 3355, 3370, 3369 2740,3130, 3131, 3146, 3145, 3355, 3356, 3371, 3370 2741,3131, 3132, 3147, 3146, 3356, 3357, 3372, 3371 2742,3132, 3133, 3148, 3147, 3357, 3358, 3373, 3372 2743,3133, 3134, 3149, 3148, 3358, 3359, 3374, 3373 2744,3134, 3135, 3150, 3149, 3359, 3360, 3375, 3374 *Elset, elset=poly1 85, 86, 87, 88, 89, 99, 100, 101, 102, 103, 104, 105, 106, 113, 114, 115, 116, 117, 118, 119, 120, 127, 128, 129, 130, 131, 132, 133, 134, 135, 141, 142, 143, 144, 145, 146, 147, 148, 149, 155, 156, 157, 158, 159, 160, 161, 162, 163, 169, 170, 171, 172, 173, 174, 175, 176, 177, 183, 184, 185, 186, 187, 188, 189, 190, 281, 282, 283, 284, 285, 286, 295, 296, 297, 298, 299, 300, 301, 302, 309, 310, 311, 312, 313, 314, 315, 316, 323, 324, 325, 326, 327, 328, 329, 330, 331, 337, 338, 339, 340, 341, 342, 343, 344, 345, 351, 352, 353, 354, 355, 356, 357, 358, 359, 365, 366, 367, 368, 369, 370, 371, 372, 373, 379, 380, 381, 382, 383, 384, 385, 386, 387, 477, 478, 479, 480, 481, 482, 483, 491, 492, 493, 494, 495, 496, 497, 498, 505, 506, 507, 508, 509, 510, 511, 512, 519, 520, 521, 522, 523, 524, 525, 526, 527, 533, 534, 535, 536, 537, 538, 539, 540, 541, 547, 548, 549, 550, 551, 552, 553, 554, 555, 561, 562, 563, 564, 565, 566, 567, 568, 569, 575, 576, 577, 578, 579, 580, 581, 582, 583, 673, 674, 675, 676, 677, 678, 679, 687, 688, 689, 690, 691, 692, 693, 701, 702, 703, 704, 705, 706, 707, 708, 715, 716, 717, 718, 719, 720, 721, 722, 723, 729, 730, 731, 732, 733, 734, 735, 736, 737, 743, 744, 745, 746, 747, 748, 749, 750, 751, 757, 758, 759, 760, 761, 762, 763, 764, 765, 771, 772, 773, 774, 775, 776, 777, 778, 779, 869, 870, 871, 872, 873, 874, 883, 884, 885, 886, 887, 888, 889, 897, 898, 899, 900, 901, 902, 903, 904, 911, 912, 913, 914, 915, 916, 917, 918, 925, 926, 927, 928, 929, 930, 931, 932, 939, 940, 941, 942, 943, 944, 945, 946, 953, 954, 955, 956, 957, 958, 959, 960, 967, 968, 969, 970, 971, 972, 973, 974, 1066, 1067, 1068, 1069, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1275, 1276, 1277, 1278, 1279, 1280, 1289, 1290, 1291, 1292, 1293, 1294, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1318, 1319, 1320, 1321, 1322, 1323, 1333, 1334, 1335, 1336, 1337, 1348, 1349, 1350, 1362, 1363, 1364 *Elset, elset=poly2 827, 841, 842, 855, 856, 981, 982, 995, 996, 997, 1009, 1010, 1011, 1012, 1023, 1024, 1025, 1026, 1037, 1038, 1039, 1040, 1041, 1051, 1052, 1053, 1054, 1055, 1065, 1177, 1178, 1179, 1180, 1181, 1191, 1192, 1193, 1194, 1195, 1196, 1205, 1206, 1207, 1208, 1209, 1210, 1219, 1220, 1221, 1222, 1223, 1224, 1233, 1234, 1235, 1236, 1237, 1238, 1247, 1248, 1249, 1250, 1251, 1261, 1262, 1263, 1264, 1265, 1373, 1374, 1375, 1376, 1377, 1387, 1388, 1389, 1390, 1391, 1401, 1402, 1403, 1404, 1405, 1406, 1415, 1416, 1417, 1418, 1419, 1420, 1429, 1430, 1431, 1432, 1433, 1434, 1443, 1444, 1445, 1446, 1447, 1457, 1458, 1459, 1460, 1569, 1570, 1571, 1572, 1583, 1584, 1585, 1586, 1597, 1598, 1599, 1600, 1601, 1611, 1612, 1613, 1614, 1615, 1625, 1626, 1627, 1628, 1629, 1639, 1640, 1641, 1642, 1653, 1765, 1766, 1767, 1779, 1780, 1781, 1793, 1794, 1795, 1807, 1808, 1809, 1810, 1821, 1822, 1823, 1824 *Elset, elset=poly3 2041, 2042, 2055, 2056, 2057, 2068, 2069, 2070, 2071, 2083, 2236, 2237, 2238, 2239, 2240, 2250, 2251, 2252, 2253, 2254, 2264, 2265, 2266, 2267, 2268, 2279, 2280, 2432, 2433, 2434, 2435, 2436, 2446, 2447, 2448, 2449, 2450, 2460, 2461, 2462, 2463, 2464, 2475, 2476, 2477, 2628, 2629, 2630, 2631, 2632, 2642, 2643, 2644, 2645, 2646, 2656, 2657, 2658, 2659, 2660, 2671, 2672, 2673 *Elset, elset=poly4 1324, 1338, 1339, 1351, 1352, 1353, 1365, 1366, 1367, 1533, 1534, 1535, 1547, 1548, 1549, 1561, 1562, 1563, 1729, 1730, 1731, 1743, 1744, 1745, 1757, 1758, 1759 *Elset, elset=poly5 907, 919, 920, 921, 933, 934, 1100, 1101, 1102, 1103, 1115, 1116, 1117, 1129, 1130, 1131, 1144, 1298, 1311, 1312, 1325, 1326 *Elset, elset=poly6 1295, 1296, 1297, 1310, 1478, 1479, 1491, 1492, 1493, 1505, 1506, 1507, 1508, 1519, 1520, 1521, 1674, 1687, 1688, 1689, 1701, 1702, 1703, 1704, 1716, 1717 *Elset, elset=poly7 1961, 1962, 1963, 1964, 1975, 1976, 1977, 1978, 1989, 1990, 1991, 1992, 2003, 2004, 2005, 2006, 2017, 2018, 2019, 2157, 2158, 2159, 2160, 2161, 2171, 2172, 2173, 2174, 2175, 2185, 2186, 2187, 2188, 2189, 2199, 2200, 2201, 2202, 2203, 2213, 2214, 2215, 2216, 2217, 2227, 2228, 2229, 2353, 2354, 2355, 2356, 2357, 2367, 2368, 2369, 2370, 2371, 2381, 2382, 2383, 2384, 2385, 2395, 2396, 2397, 2398, 2399, 2409, 2410, 2411, 2412, 2413, 2423, 2424, 2425, 2426, 2427, 2437, 2438, 2549, 2550, 2551, 2552, 2553, 2563, 2564, 2565, 2566, 2567, 2577, 2578, 2579, 2580, 2581, 2591, 2592, 2593, 2594, 2595, 2605, 2606, 2607, 2608, 2609, 2619, 2620, 2621, 2622, 2623, 2633, 2634, 2635, 2636 *Elset, elset=poly8 848, 849, 862, 863, 875, 876, 1030, 1031, 1043, 1044, 1045, 1046, 1056, 1057, 1058, 1059, 1060, 1070, 1071, 1072, 1073, 1074, 1086, 1087, 1225, 1239, 1240, 1241, 1242, 1252, 1253, 1254, 1255, 1256, 1266, 1267, 1268, 1269, 1281, 1282, 1283, 1435, 1436, 1449, 1450, 1451, 1463, 1464, 1465 *Elset, elset=poly9 988, 989, 990, 1002, 1003, 1016, 1017, 1182, 1183, 1184, 1185, 1186, 1197, 1198, 1199, 1200, 1211, 1212, 1213, 1214, 1226, 1227, 1228, 1378, 1379, 1380, 1381, 1382, 1393, 1394, 1395, 1396, 1407, 1408, 1409, 1410, 1421, 1422, 1423, 1424, 1437, 1575, 1576, 1577, 1578, 1579, 1589, 1590, 1591, 1592, 1604, 1605, 1606, 1618, 1619, 1620, 1772, 1773, 1774, 1786, 1787, 1788, 1800, 1801 *Elset, elset=poly10 1132, 1133, 1134, 1145, 1146, 1147, 1148, 1159, 1160, 1161, 1162, 1173, 1174, 1175, 1176, 1313, 1314, 1315, 1316, 1327, 1328, 1329, 1330, 1340, 1341, 1342, 1343, 1344, 1354, 1355, 1356, 1357, 1358, 1368, 1369, 1370, 1371, 1372, 1496, 1509, 1510, 1511, 1512, 1522, 1523, 1524, 1525, 1526, 1536, 1537, 1538, 1539, 1540, 1550, 1551, 1552, 1553, 1554, 1564, 1565, 1566, 1567, 1568, 1705, 1706, 1707, 1708, 1718, 1719, 1720, 1721, 1722, 1732, 1733, 1734, 1735, 1736, 1746, 1747, 1748, 1749, 1750, 1760, 1761, 1762, 1763, 1764, 1915, 1916, 1929, 1930, 1931, 1942, 1943, 1944, 1945, 1946, 1956, 1957, 1958, 1959, 1960 *Elset, elset=poly11 110, 111, 112, 123, 124, 125, 126, 136, 137, 138, 139, 140, 150, 151, 152, 153, 154, 164, 165, 166, 167, 168, 178, 179, 180, 181, 182, 191, 192, 193, 194, 195, 196, 306, 307, 308, 319, 320, 321, 322, 332, 333, 334, 335, 336, 346, 347, 348, 349, 350, 360, 361, 362, 363, 364, 374, 375, 376, 377, 378, 388, 389, 390, 391, 392, 503, 504, 515, 516, 517, 518, 528, 529, 530, 531, 532, 542, 543, 544, 545, 546, 556, 557, 558, 559, 560, 570, 571, 572, 573, 574, 584, 585, 586, 587, 588, 712, 713, 714, 724, 725, 726, 727, 728, 738, 739, 740, 741, 742, 752, 753, 754, 755, 756, 766, 767, 768, 769, 770, 780, 781, 782, 783, 784, 922, 923, 924, 935, 936, 937, 938, 949, 950, 951, 952, 963, 964, 965, 966, 977, 978, 979, 980 *Elset, elset=poly12 1392, 1573, 1574, 1587, 1588, 1602, 1603, 1616, 1617, 1630, 1631, 1768, 1769, 1770, 1771, 1782, 1783, 1784, 1785, 1796, 1797, 1798, 1799, 1811, 1812, 1813, 1825, 1826, 1827, 1965, 1966, 1979, 1980, 1993, 1994, 2007, 2008, 2021, 2022 *Elset, elset=poly13 699, 700, 881, 882, 894, 895, 896, 908, 909, 910, 1076, 1077, 1078, 1090, 1091, 1092, 1104, 1105, 1106, 1118, 1119, 1120, 1272, 1273, 1274, 1286, 1287, 1288, 1300, 1301, 1302 *Elset, elset=poly14 79, 92, 93, 94, 95, 107, 108, 109, 121, 122, 275, 288, 289, 290, 291, 303, 304, 305, 317, 318, 471, 484, 485, 486, 487, 499, 500, 501, 502, 513, 514, 667, 680, 681, 682, 683, 694, 695, 696, 697, 698, 709, 710, 711, 864, 877, 878, 879, 890, 891, 892, 893, 905, 906 *Elset, elset=poly15 1677, 1690, 1691, 1873, 1886, 1887, 1901 *Elset, elset=poly16 1075, 1088, 1089, 1270, 1271, 1284, 1285, 1299, 1466, 1467, 1480, 1481, 1494, 1495 *Elset, elset=poly17 1715, 1882, 1883, 1884, 1885, 1896, 1897, 1898, 1899, 1900, 1910, 1911, 1912, 1913, 1914, 1924, 1925, 1926, 1927, 1928, 1938, 1939, 1940, 1941, 1953, 1954, 1955, 2051, 2064, 2065, 2066, 2067, 2077, 2078, 2079, 2080, 2081, 2082, 2091, 2092, 2093, 2094, 2095, 2096, 2105, 2106, 2107, 2108, 2109, 2110, 2119, 2120, 2121, 2122, 2123, 2124, 2133, 2134, 2135, 2136, 2137, 2138, 2147, 2148, 2149, 2150, 2151, 2152, 2246, 2247, 2248, 2259, 2260, 2261, 2262, 2263, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2287, 2288, 2289, 2290, 2291, 2292, 2301, 2302, 2303, 2304, 2305, 2306, 2315, 2316, 2317, 2318, 2319, 2320, 2329, 2330, 2331, 2332, 2333, 2334, 2343, 2344, 2345, 2346, 2347, 2348, 2441, 2442, 2443, 2444, 2455, 2456, 2457, 2458, 2459, 2469, 2470, 2471, 2472, 2473, 2474, 2483, 2484, 2485, 2486, 2487, 2488, 2497, 2498, 2499, 2500, 2501, 2502, 2511, 2512, 2513, 2514, 2515, 2516, 2525, 2526, 2527, 2528, 2529, 2530, 2539, 2540, 2541, 2542, 2543, 2544, 2637, 2638, 2639, 2640, 2641, 2651, 2652, 2653, 2654, 2655, 2665, 2666, 2667, 2668, 2669, 2670, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2693, 2694, 2695, 2696, 2697, 2698, 2707, 2708, 2709, 2710, 2711, 2712, 2721, 2722, 2723, 2724, 2725, 2726, 2735, 2736, 2737, 2738, 2739, 2740 *Elset, elset=poly18 1036, 1049, 1050, 1062, 1063, 1064, 1187, 1188, 1189, 1190, 1201, 1202, 1203, 1204, 1215, 1216, 1217, 1218, 1229, 1230, 1231, 1232, 1243, 1244, 1245, 1246, 1257, 1258, 1259, 1260, 1383, 1384, 1385, 1386, 1397, 1398, 1399, 1400, 1411, 1412, 1413, 1414, 1425, 1426, 1427, 1428, 1439, 1440, 1441, 1442, 1453, 1454, 1455, 1456, 1580, 1581, 1582, 1593, 1594, 1595, 1596, 1607, 1608, 1609, 1610, 1621, 1622, 1623, 1624, 1635, 1636, 1637, 1638 *Elset, elset=poly19 1, 2, 3, 4, 5, 6, 7, 8, 9, 15, 16, 17, 18, 19, 20, 21, 22, 23, 29, 30, 31, 32, 33, 34, 35, 36, 37, 43, 44, 45, 46, 47, 48, 49, 50, 51, 57, 58, 59, 60, 61, 62, 63, 64, 65, 71, 72, 73, 74, 75, 76, 77, 78, 90, 91, 197, 198, 199, 200, 201, 202, 203, 204, 205, 211, 212, 213, 214, 215, 216, 217, 218, 219, 225, 226, 227, 228, 229, 230, 231, 232, 233, 239, 240, 241, 242, 243, 244, 245, 246, 247, 253, 254, 255, 256, 257, 258, 259, 260, 261, 267, 268, 269, 270, 271, 272, 273, 274, 287, 393, 394, 395, 396, 397, 398, 399, 400, 401, 407, 408, 409, 410, 411, 412, 413, 414, 415, 421, 422, 423, 424, 425, 426, 427, 428, 429, 435, 436, 437, 438, 439, 440, 441, 442, 449, 450, 451, 452, 453, 454, 455, 456, 463, 464, 465, 466, 467, 468, 469, 470, 589, 590, 591, 592, 593, 594, 595, 596, 603, 604, 605, 606, 607, 608, 609, 610, 617, 618, 619, 620, 621, 622, 623, 624, 631, 632, 633, 634, 635, 636, 637, 638, 645, 646, 647, 648, 649, 650, 651, 652, 659, 660, 661, 662, 663, 664, 665, 666, 785, 786, 787, 788, 789, 790, 791, 792, 799, 800, 801, 802, 803, 804, 805, 806, 813, 814, 815, 816, 817, 818, 819, 820, 828, 829, 830, 831, 832, 833, 834, 843, 844, 845, 846, 847, 857, 858, 859, 860, 861, 983, 984, 985, 986, 987, 998, 999, 1000, 1001, 1013, 1014, 1015, 1027, 1028, 1029, 1042 *Elset, elset=poly20 10, 11, 12, 13, 14, 24, 25, 26, 27, 28, 38, 39, 40, 41, 42, 52, 53, 54, 55, 56, 66, 67, 68, 69, 70, 80, 81, 82, 83, 84, 96, 97, 98, 206, 207, 208, 209, 210, 220, 221, 222, 223, 224, 234, 235, 236, 237, 238, 248, 249, 250, 251, 252, 262, 263, 264, 265, 266, 276, 277, 278, 279, 280, 292, 293, 294, 402, 403, 404, 405, 406, 416, 417, 418, 419, 420, 430, 431, 432, 433, 434, 443, 444, 445, 446, 447, 448, 457, 458, 459, 460, 461, 462, 472, 473, 474, 475, 476, 488, 489, 490, 597, 598, 599, 600, 601, 602, 611, 612, 613, 614, 615, 616, 625, 626, 627, 628, 629, 630, 639, 640, 641, 642, 643, 644, 653, 654, 655, 656, 657, 658, 668, 669, 670, 671, 672, 684, 685, 686, 793, 794, 795, 796, 797, 798, 807, 808, 809, 810, 811, 812, 821, 822, 823, 824, 825, 826, 835, 836, 837, 838, 839, 840, 850, 851, 852, 853, 854, 865, 866, 867, 868, 880, 991, 992, 993, 994, 1004, 1005, 1006, 1007, 1008, 1018, 1019, 1020, 1021, 1022, 1032, 1033, 1034, 1035, 1047, 1048, 1061 *Elset, elset=poly21 1775, 1776, 1777, 1778, 1789, 1790, 1791, 1792, 1802, 1803, 1804, 1805, 1806, 1817, 1818, 1819, 1820, 1832, 1833, 1834, 1970, 1971, 1972, 1973, 1974, 1984, 1985, 1986, 1987, 1988, 1998, 1999, 2000, 2001, 2002, 2012, 2013, 2014, 2015, 2016, 2027, 2028, 2029, 2030, 2043, 2044, 2166, 2167, 2168, 2169, 2170, 2180, 2181, 2182, 2183, 2184, 2194, 2195, 2196, 2197, 2198, 2209, 2210, 2211, 2212, 2223, 2224, 2225, 2226, 2362, 2363, 2364, 2365, 2366, 2376, 2377, 2378, 2379, 2380, 2391, 2392, 2393, 2394, 2405, 2406, 2407, 2408, 2419, 2420, 2421, 2422, 2558, 2559, 2560, 2561, 2562, 2572, 2573, 2574, 2575, 2576, 2587, 2588, 2589, 2590, 2601, 2602, 2603, 2604, 2615, 2616, 2617, 2618 *Elset, elset=poly22 1468, 1469, 1470, 1482, 1483, 1484, 1497, 1498, 1650, 1651, 1652, 1664, 1665, 1666, 1678, 1679, 1680, 1692, 1693, 1694, 1846, 1847, 1848, 1860, 1861, 1862, 1874, 1875, 1876, 1888, 1889, 1890, 2058, 2072 *Elset, elset=poly23 1438, 1452, 1632, 1633, 1634, 1646, 1647, 1648, 1649, 1660, 1661, 1662, 1663, 1675, 1676, 1815, 1816, 1828, 1829, 1830, 1831, 1842, 1843, 1844, 1845, 1856, 1857, 1858, 1859, 1870, 1871, 1872, 2026, 2039, 2040, 2052, 2053, 2054 *Elset, elset=poly24 947, 948, 961, 962, 975, 976, 1143, 1157, 1158, 1170, 1171, 1172 *Elset, elset=poly25 1814, 1967, 1968, 1969, 1981, 1982, 1983, 1995, 1996, 1997, 2009, 2010, 2011, 2023, 2024, 2025, 2036, 2037, 2038, 2162, 2163, 2164, 2165, 2176, 2177, 2178, 2179, 2190, 2191, 2192, 2193, 2204, 2205, 2206, 2207, 2208, 2218, 2219, 2220, 2221, 2222, 2232, 2233, 2234, 2235, 2249, 2358, 2359, 2360, 2361, 2372, 2373, 2374, 2375, 2386, 2387, 2388, 2389, 2390, 2400, 2401, 2402, 2403, 2404, 2414, 2415, 2416, 2417, 2418, 2428, 2429, 2430, 2431, 2445, 2554, 2555, 2556, 2557, 2568, 2569, 2570, 2571, 2582, 2583, 2584, 2585, 2586, 2596, 2597, 2598, 2599, 2600, 2610, 2611, 2612, 2613, 2614, 2624, 2625, 2626, 2627 *Elset, elset=poly26 1902, 1903, 1904, 1917, 1918, 1932, 2084, 2085, 2086, 2097, 2098, 2099, 2100, 2111, 2112, 2113, 2114, 2125, 2126, 2127, 2128, 2139, 2140, 2141, 2142, 2153, 2154, 2155, 2156, 2281, 2282, 2293, 2294, 2295, 2296, 2307, 2308, 2309, 2310, 2321, 2322, 2323, 2324, 2335, 2336, 2337, 2338, 2349, 2350, 2351, 2352, 2478, 2489, 2490, 2491, 2492, 2503, 2504, 2505, 2506, 2517, 2518, 2519, 2520, 2531, 2532, 2533, 2534, 2545, 2546, 2547, 2548, 2674, 2686, 2687, 2688, 2699, 2700, 2701, 2702, 2713, 2714, 2715, 2716, 2727, 2728, 2729, 2730, 2741, 2742, 2743, 2744 *Elset, elset=poly27 1317, 1331, 1332, 1345, 1346, 1347, 1359, 1360, 1361, 1471, 1472, 1473, 1474, 1485, 1486, 1487, 1488, 1489, 1499, 1500, 1501, 1502, 1503, 1504, 1513, 1514, 1515, 1516, 1517, 1518, 1527, 1528, 1529, 1530, 1531, 1532, 1541, 1542, 1543, 1544, 1545, 1546, 1555, 1556, 1557, 1558, 1559, 1560, 1667, 1668, 1669, 1670, 1681, 1682, 1683, 1684, 1685, 1695, 1696, 1697, 1698, 1699, 1700, 1709, 1710, 1711, 1712, 1713, 1714, 1723, 1724, 1725, 1726, 1727, 1728, 1737, 1738, 1739, 1740, 1741, 1742, 1751, 1752, 1753, 1754, 1755, 1756, 1877, 1878, 1879, 1880, 1881, 1891, 1892, 1893, 1894, 1895, 1905, 1906, 1907, 1908, 1909, 1919, 1920, 1921, 1922, 1923, 1933, 1934, 1935, 1936, 1937, 1947, 1948, 1949, 1950, 1951, 1952, 2088, 2089, 2090, 2102, 2103, 2104, 2115, 2116, 2117, 2118, 2129, 2130, 2131, 2132, 2143, 2144, 2145, 2146 *Elset, elset=poly28 1654, 1655, 1656, 1835, 1836, 1837, 1838, 1839, 1849, 1850, 1851, 1852, 1853, 1863, 1864, 1865, 1866, 1867, 2020, 2031, 2032, 2033, 2034, 2035, 2045, 2046, 2047, 2048, 2049, 2059, 2060, 2061, 2062, 2063, 2075, 2076, 2230, 2231, 2241, 2242, 2243, 2244, 2245, 2257, 2258, 2439, 2440 *Elset, elset=poly29 2073, 2074, 2087, 2101, 2255, 2256, 2269, 2270, 2271, 2283, 2284, 2285, 2286, 2297, 2298, 2299, 2300, 2311, 2312, 2313, 2314, 2325, 2326, 2327, 2328, 2339, 2340, 2341, 2342, 2451, 2452, 2453, 2454, 2465, 2466, 2467, 2468, 2479, 2480, 2481, 2482, 2493, 2494, 2495, 2496, 2507, 2508, 2509, 2510, 2521, 2522, 2523, 2524, 2535, 2536, 2537, 2538, 2647, 2648, 2649, 2650, 2661, 2662, 2663, 2664, 2675, 2676, 2677, 2678, 2689, 2690, 2691, 2692, 2703, 2704, 2705, 2706, 2717, 2718, 2719, 2720, 2731, 2732, 2733, 2734 *Elset, elset=poly30 1448, 1461, 1462, 1475, 1476, 1477, 1490, 1643, 1644, 1645, 1657, 1658, 1659, 1671, 1672, 1673, 1686, 1840, 1841, 1854, 1855, 1868, 1869, 2050 *Nset, nset=x0 1, 16, 31, 46, 61, 76, 91, 106, 121, 136, 151, 166, 181, 196, 211, 226, 241, 256, 271, 286, 301, 316, 331, 346, 361, 376, 391, 406, 421, 436, 451, 466, 481, 496, 511, 526, 541, 556, 571, 586, 601, 616, 631, 646, 661, 676, 691, 706, 721, 736, 751, 766, 781, 796, 811, 826, 841, 856, 871, 886, 901, 916, 931, 946, 961, 976, 991, 1006, 1021, 1036, 1051, 1066, 1081, 1096, 1111, 1126, 1141, 1156, 1171, 1186, 1201, 1216, 1231, 1246, 1261, 1276, 1291, 1306, 1321, 1336, 1351, 1366, 1381, 1396, 1411, 1426, 1441, 1456, 1471, 1486, 1501, 1516, 1531, 1546, 1561, 1576, 1591, 1606, 1621, 1636, 1651, 1666, 1681, 1696, 1711, 1726, 1741, 1756, 1771, 1786, 1801, 1816, 1831, 1846, 1861, 1876, 1891, 1906, 1921, 1936, 1951, 1966, 1981, 1996, 2011, 2026, 2041, 2056, 2071, 2086, 2101, 2116, 2131, 2146, 2161, 2176, 2191, 2206, 2221, 2236, 2251, 2266, 2281, 2296, 2311, 2326, 2341, 2356, 2371, 2386, 2401, 2416, 2431, 2446, 2461, 2476, 2491, 2506, 2521, 2536, 2551, 2566, 2581, 2596, 2611, 2626, 2641, 2656, 2671, 2686, 2701, 2716, 2731, 2746, 2761, 2776, 2791, 2806, 2821, 2836, 2851, 2866, 2881, 2896, 2911, 2926, 2941, 2956, 2971, 2986, 3001, 3016, 3031, 3046, 3061, 3076, 3091, 3106, 3121, 3136, 3151, 3166, 3181, 3196, 3211, 3226, 3241, 3256, 3271, 3286, 3301, 3316, 3331, 3346, 3361 *Nset, nset=x1 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990, 1005, 1020, 1035, 1050, 1065, 1080, 1095, 1110, 1125, 1140, 1155, 1170, 1185, 1200, 1215, 1230, 1245, 1260, 1275, 1290, 1305, 1320, 1335, 1350, 1365, 1380, 1395, 1410, 1425, 1440, 1455, 1470, 1485, 1500, 1515, 1530, 1545, 1560, 1575, 1590, 1605, 1620, 1635, 1650, 1665, 1680, 1695, 1710, 1725, 1740, 1755, 1770, 1785, 1800, 1815, 1830, 1845, 1860, 1875, 1890, 1905, 1920, 1935, 1950, 1965, 1980, 1995, 2010, 2025, 2040, 2055, 2070, 2085, 2100, 2115, 2130, 2145, 2160, 2175, 2190, 2205, 2220, 2235, 2250, 2265, 2280, 2295, 2310, 2325, 2340, 2355, 2370, 2385, 2400, 2415, 2430, 2445, 2460, 2475, 2490, 2505, 2520, 2535, 2550, 2565, 2580, 2595, 2610, 2625, 2640, 2655, 2670, 2685, 2700, 2715, 2730, 2745, 2760, 2775, 2790, 2805, 2820, 2835, 2850, 2865, 2880, 2895, 2910, 2925, 2940, 2955, 2970, 2985, 3000, 3015, 3030, 3045, 3060, 3075, 3090, 3105, 3120, 3135, 3150, 3165, 3180, 3195, 3210, 3225, 3240, 3255, 3270, 3285, 3300, 3315, 3330, 3345, 3360, 3375 *Nset, nset=y0 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 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0.214285714286 0.571428571429 1851 0.357142857143 0.214285714286 0.571428571429 1852 0.428571428571 0.214285714286 0.571428571429 1853 0.500000000000 0.214285714286 0.571428571429 1854 0.571428571429 0.214285714286 0.571428571429 1855 0.642857142857 0.214285714286 0.571428571429 1856 0.714285714286 0.214285714286 0.571428571429 1857 0.785714285714 0.214285714286 0.571428571429 1858 0.857142857143 0.214285714286 0.571428571429 1859 0.928571428571 0.214285714286 0.571428571429 1860 1.000000000000 0.214285714286 0.571428571429 1861 0.000000000000 0.285714285714 0.571428571429 1862 0.071428571429 0.285714285714 0.571428571429 1863 0.142857142857 0.285714285714 0.571428571429 1864 0.214285714286 0.285714285714 0.571428571429 1865 0.285714285714 0.285714285714 0.571428571429 1866 0.357142857143 0.285714285714 0.571428571429 1867 0.428571428571 0.285714285714 0.571428571429 1868 0.500000000000 0.285714285714 0.571428571429 1869 0.571428571429 0.285714285714 0.571428571429 1870 0.642857142857 0.285714285714 0.571428571429 1871 0.714285714286 0.285714285714 0.571428571429 1872 0.785714285714 0.285714285714 0.571428571429 1873 0.857142857143 0.285714285714 0.571428571429 1874 0.928571428571 0.285714285714 0.571428571429 1875 1.000000000000 0.285714285714 0.571428571429 1876 0.000000000000 0.357142857143 0.571428571429 1877 0.071428571429 0.357142857143 0.571428571429 1878 0.142857142857 0.357142857143 0.571428571429 1879 0.214285714286 0.357142857143 0.571428571429 1880 0.285714285714 0.357142857143 0.571428571429 1881 0.357142857143 0.357142857143 0.571428571429 1882 0.428571428571 0.357142857143 0.571428571429 1883 0.500000000000 0.357142857143 0.571428571429 1884 0.571428571429 0.357142857143 0.571428571429 1885 0.642857142857 0.357142857143 0.571428571429 1886 0.714285714286 0.357142857143 0.571428571429 1887 0.785714285714 0.357142857143 0.571428571429 1888 0.857142857143 0.357142857143 0.571428571429 1889 0.928571428571 0.357142857143 0.571428571429 1890 1.000000000000 0.357142857143 0.571428571429 1891 0.000000000000 0.428571428571 0.571428571429 1892 0.071428571429 0.428571428571 0.571428571429 1893 0.142857142857 0.428571428571 0.571428571429 1894 0.214285714286 0.428571428571 0.571428571429 1895 0.285714285714 0.428571428571 0.571428571429 1896 0.357142857143 0.428571428571 0.571428571429 1897 0.428571428571 0.428571428571 0.571428571429 1898 0.500000000000 0.428571428571 0.571428571429 1899 0.571428571429 0.428571428571 0.571428571429 1900 0.642857142857 0.428571428571 0.571428571429 1901 0.714285714286 0.428571428571 0.571428571429 1902 0.785714285714 0.428571428571 0.571428571429 1903 0.857142857143 0.428571428571 0.571428571429 1904 0.928571428571 0.428571428571 0.571428571429 1905 1.000000000000 0.428571428571 0.571428571429 1906 0.000000000000 0.500000000000 0.571428571429 1907 0.071428571429 0.500000000000 0.571428571429 1908 0.142857142857 0.500000000000 0.571428571429 1909 0.214285714286 0.500000000000 0.571428571429 1910 0.285714285714 0.500000000000 0.571428571429 1911 0.357142857143 0.500000000000 0.571428571429 1912 0.428571428571 0.500000000000 0.571428571429 1913 0.500000000000 0.500000000000 0.571428571429 1914 0.571428571429 0.500000000000 0.571428571429 1915 0.642857142857 0.500000000000 0.571428571429 1916 0.714285714286 0.500000000000 0.571428571429 1917 0.785714285714 0.500000000000 0.571428571429 1918 0.857142857143 0.500000000000 0.571428571429 1919 0.928571428571 0.500000000000 0.571428571429 1920 1.000000000000 0.500000000000 0.571428571429 1921 0.000000000000 0.571428571429 0.571428571429 1922 0.071428571429 0.571428571429 0.571428571429 1923 0.142857142857 0.571428571429 0.571428571429 1924 0.214285714286 0.571428571429 0.571428571429 1925 0.285714285714 0.571428571429 0.571428571429 1926 0.357142857143 0.571428571429 0.571428571429 1927 0.428571428571 0.571428571429 0.571428571429 1928 0.500000000000 0.571428571429 0.571428571429 1929 0.571428571429 0.571428571429 0.571428571429 1930 0.642857142857 0.571428571429 0.571428571429 1931 0.714285714286 0.571428571429 0.571428571429 1932 0.785714285714 0.571428571429 0.571428571429 1933 0.857142857143 0.571428571429 0.571428571429 1934 0.928571428571 0.571428571429 0.571428571429 1935 1.000000000000 0.571428571429 0.571428571429 1936 0.000000000000 0.642857142857 0.571428571429 1937 0.071428571429 0.642857142857 0.571428571429 1938 0.142857142857 0.642857142857 0.571428571429 1939 0.214285714286 0.642857142857 0.571428571429 1940 0.285714285714 0.642857142857 0.571428571429 1941 0.357142857143 0.642857142857 0.571428571429 1942 0.428571428571 0.642857142857 0.571428571429 1943 0.500000000000 0.642857142857 0.571428571429 1944 0.571428571429 0.642857142857 0.571428571429 1945 0.642857142857 0.642857142857 0.571428571429 1946 0.714285714286 0.642857142857 0.571428571429 1947 0.785714285714 0.642857142857 0.571428571429 1948 0.857142857143 0.642857142857 0.571428571429 1949 0.928571428571 0.642857142857 0.571428571429 1950 1.000000000000 0.642857142857 0.571428571429 1951 0.000000000000 0.714285714286 0.571428571429 1952 0.071428571429 0.714285714286 0.571428571429 1953 0.142857142857 0.714285714286 0.571428571429 1954 0.214285714286 0.714285714286 0.571428571429 1955 0.285714285714 0.714285714286 0.571428571429 1956 0.357142857143 0.714285714286 0.571428571429 1957 0.428571428571 0.714285714286 0.571428571429 1958 0.500000000000 0.714285714286 0.571428571429 1959 0.571428571429 0.714285714286 0.571428571429 1960 0.642857142857 0.714285714286 0.571428571429 1961 0.714285714286 0.714285714286 0.571428571429 1962 0.785714285714 0.714285714286 0.571428571429 1963 0.857142857143 0.714285714286 0.571428571429 1964 0.928571428571 0.714285714286 0.571428571429 1965 1.000000000000 0.714285714286 0.571428571429 1966 0.000000000000 0.785714285714 0.571428571429 1967 0.071428571429 0.785714285714 0.571428571429 1968 0.142857142857 0.785714285714 0.571428571429 1969 0.214285714286 0.785714285714 0.571428571429 1970 0.285714285714 0.785714285714 0.571428571429 1971 0.357142857143 0.785714285714 0.571428571429 1972 0.428571428571 0.785714285714 0.571428571429 1973 0.500000000000 0.785714285714 0.571428571429 1974 0.571428571429 0.785714285714 0.571428571429 1975 0.642857142857 0.785714285714 0.571428571429 1976 0.714285714286 0.785714285714 0.571428571429 1977 0.785714285714 0.785714285714 0.571428571429 1978 0.857142857143 0.785714285714 0.571428571429 1979 0.928571428571 0.785714285714 0.571428571429 1980 1.000000000000 0.785714285714 0.571428571429 1981 0.000000000000 0.857142857143 0.571428571429 1982 0.071428571429 0.857142857143 0.571428571429 1983 0.142857142857 0.857142857143 0.571428571429 1984 0.214285714286 0.857142857143 0.571428571429 1985 0.285714285714 0.857142857143 0.571428571429 1986 0.357142857143 0.857142857143 0.571428571429 1987 0.428571428571 0.857142857143 0.571428571429 1988 0.500000000000 0.857142857143 0.571428571429 1989 0.571428571429 0.857142857143 0.571428571429 1990 0.642857142857 0.857142857143 0.571428571429 1991 0.714285714286 0.857142857143 0.571428571429 1992 0.785714285714 0.857142857143 0.571428571429 1993 0.857142857143 0.857142857143 0.571428571429 1994 0.928571428571 0.857142857143 0.571428571429 1995 1.000000000000 0.857142857143 0.571428571429 1996 0.000000000000 0.928571428571 0.571428571429 1997 0.071428571429 0.928571428571 0.571428571429 1998 0.142857142857 0.928571428571 0.571428571429 1999 0.214285714286 0.928571428571 0.571428571429 2000 0.285714285714 0.928571428571 0.571428571429 2001 0.357142857143 0.928571428571 0.571428571429 2002 0.428571428571 0.928571428571 0.571428571429 2003 0.500000000000 0.928571428571 0.571428571429 2004 0.571428571429 0.928571428571 0.571428571429 2005 0.642857142857 0.928571428571 0.571428571429 2006 0.714285714286 0.928571428571 0.571428571429 2007 0.785714285714 0.928571428571 0.571428571429 2008 0.857142857143 0.928571428571 0.571428571429 2009 0.928571428571 0.928571428571 0.571428571429 2010 1.000000000000 0.928571428571 0.571428571429 2011 0.000000000000 1.000000000000 0.571428571429 2012 0.071428571429 1.000000000000 0.571428571429 2013 0.142857142857 1.000000000000 0.571428571429 2014 0.214285714286 1.000000000000 0.571428571429 2015 0.285714285714 1.000000000000 0.571428571429 2016 0.357142857143 1.000000000000 0.571428571429 2017 0.428571428571 1.000000000000 0.571428571429 2018 0.500000000000 1.000000000000 0.571428571429 2019 0.571428571429 1.000000000000 0.571428571429 2020 0.642857142857 1.000000000000 0.571428571429 2021 0.714285714286 1.000000000000 0.571428571429 2022 0.785714285714 1.000000000000 0.571428571429 2023 0.857142857143 1.000000000000 0.571428571429 2024 0.928571428571 1.000000000000 0.571428571429 2025 1.000000000000 1.000000000000 0.571428571429 2026 0.000000000000 0.000000000000 0.642857142857 2027 0.071428571429 0.000000000000 0.642857142857 2028 0.142857142857 0.000000000000 0.642857142857 2029 0.214285714286 0.000000000000 0.642857142857 2030 0.285714285714 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0.796564757824, 0.132425725460, 0.307095080614 873, 0.886730730534, 0.132425725460, 0.126763120294 874, 0.796564757824, 0.132425725460, 0.126763120294 875, 0.706398785114, 0.222591698170, 0.126763120294 876, 0.886730730534, 0.222591698170, 0.126763120294 877, 0.796564757824, 0.312757670879, 0.126763120294 878, 0.796564757824, 0.222591698170, 0.126763120294 879, 0.796564757824, 0.312757670879, 0.307095080614 880, 0.796564757824, 0.222591698170, 0.307095080614 881, 0.886730730534, 0.312757670879, 0.307095080614 882, 0.445926368237, 0.356390893459, 0.915723025799 883, 0.144344702363, 0.779693484306, 0.866011619568 *Element, type=C3D4 1, 3, 158, 375, 406 2, 422, 404, 365, 16 3, 368, 805, 804, 150 4, 807, 812, 370, 381 5, 427, 426, 396, 167 6, 813, 810, 815, 814 7, 372, 366, 153, 806 8, 180, 416, 825, 820 9, 816, 821, 401, 402 10, 810, 812, 374, 815 11, 393, 368, 804, 150 12, 806, 394, 802, 386 13, 390, 388, 407, 818 14, 821, 422, 820, 423 15, 390, 175, 407, 22 16, 383, 427, 160, 379 17, 388, 407, 408, 172 18, 806, 802, 803, 386 19, 824, 817, 6, 409 20, 808, 810, 376, 375 21, 818, 23, 408, 424 22, 805, 812, 819, 815 23, 426, 389, 396, 167 24, 175, 818, 407, 408 25, 426, 168, 389, 167 26, 169, 390, 407, 22 27, 816, 801, 819, 812 28, 384, 374, 162, 815 29, 821, 816, 823, 367 30, 389, 426, 818, 390 31, 823, 824, 820, 803 32, 367, 816, 400, 403 33, 388, 12, 172, 164 34, 811, 384, 391, 815 35, 816, 823, 804, 819 36, 404, 821, 367, 403 37, 422, 181, 820, 423 38, 377, 808, 376, 375 39, 367, 812, 804, 364 40, 415, 817, 9, 178 41, 806, 419, 803, 820 42, 427, 383, 396, 811 43, 170, 406, 413, 808 44, 805, 393, 804, 150 45, 385, 818, 815, 397 46, 422, 821, 820, 825 47, 415, 179, 14, 822 48, 818, 388, 408, 172 49, 179, 822, 178, 8 50, 427, 383, 160, 21 51, 801, 823, 819, 814 52, 13, 415, 14, 822 53, 4, 378, 413, 375 54, 417, 416, 418, 820 55, 393, 399, 368, 151 56, 411, 174, 178, 817 57, 817, 23, 408, 818 58, 179, 415, 178, 822 59, 373, 805, 812, 381 60, 372, 394, 369, 806 61, 812, 801, 819, 814 62, 818, 811, 813, 424 63, 817, 412, 813, 809 64, 810, 801, 809, 808 65, 19, 181, 423, 418 66, 400, 367, 370, 807 67, 812, 367, 370, 364 68, 367, 812, 370, 807 69, 385, 818, 803, 392 70, 822, 18, 17, 423 71, 174, 23, 817, 411 72, 417, 388, 824, 172 73, 391, 397, 815, 387 74, 148, 373, 381, 364 75, 821, 822, 824, 809 76, 812, 805, 374, 815 77, 805, 163, 395, 373 78, 813, 811, 815, 380 79, 379, 378, 380, 813 80, 388, 164, 172, 417 81, 24, 817, 813, 424 82, 812, 364, 370, 381 83, 816, 821, 809, 401 84, 378, 176, 413, 813 85, 13, 18, 17, 822 86, 812, 805, 364, 381 87, 421, 153, 420, 806 88, 9, 7, 412, 809 89, 364, 148, 370, 381 90, 379, 20, 425, 160 91, 148, 382, 370, 381 92, 388, 818, 408, 407 93, 404, 422, 171, 16 94, 379, 813, 425, 177 95, 418, 822, 414, 824 96, 399, 368, 369, 802 97, 417, 418, 11, 824 98, 389, 811, 391, 818 99, 417, 824, 392, 803 100, 805, 812, 804, 819 101, 170, 7, 809, 412 102, 23, 24, 817, 411 103, 421, 372, 153, 806 104, 397, 819, 815, 387 105, 373, 148, 149, 364 106, 366, 806, 369, 363 107, 818, 385, 815, 391 108, 817, 822, 809, 824 109, 176, 410, 5, 813 110, 812, 819, 815, 814 111, 816, 367, 804, 823 112, 363, 368, 364, 804 113, 810, 812, 815, 814 114, 363, 367, 804, 364 115, 806, 394, 419, 166 116, 372, 421, 394, 806 117, 367, 816, 804, 812 118, 366, 806, 825, 420 119, 818, 811, 815, 813 120, 817, 813, 815, 814 121, 384, 374, 815, 380 122, 421, 806, 419, 166 123, 807, 401, 809, 808 124, 807, 377, 808, 376 125, 382, 157, 807, 381 126, 384, 396, 391, 161 127, 383, 384, 161, 396 128, 801, 807, 809, 808 129, 823, 802, 804, 803 130, 157, 377, 807, 381 131, 818, 817, 815, 814 132, 816, 401, 403, 402 133, 157, 377, 158, 405 134, 813, 378, 375, 413 135, 7, 415, 809, 9 136, 423, 821, 171, 402 137, 817, 818, 824, 814 138, 816, 405, 403, 401 139, 812, 373, 381, 374 140, 404, 821, 403, 402 141, 821, 816, 403, 402 142, 817, 9, 5, 412 143, 817, 411, 9, 178 144, 805, 163, 374, 387 145, 405, 816, 403, 400 146, 383, 811, 379, 384 147, 805, 393, 819, 804 148, 426, 811, 396, 389 149, 817, 818, 813, 424 150, 169, 388, 407, 390 151, 168, 426, 389, 390 152, 163, 805, 395, 387 153, 374, 163, 162, 387 154, 817, 824, 809, 814 155, 813, 817, 809, 814 156, 811, 389, 391, 396 157, 823, 802, 820, 825 158, 372, 394, 166, 10 159, 823, 363, 825, 365 160, 421, 372, 166, 10 161, 15, 180, 420, 825 162, 822, 423, 820, 418 163, 372, 421, 166, 394 164, 811, 426, 424, 818 165, 371, 805, 368, 150 166, 822, 415, 178, 817 167, 410, 378, 176, 159 168, 410, 24, 813, 177 169, 390, 389, 385, 818 170, 806, 394, 369, 802 171, 426, 175, 818, 390 172, 806, 419, 398, 803 173, 821, 367, 823, 363 174, 816, 801, 812, 807 175, 154, 366, 365, 825 176, 404, 155, 365, 16 177, 153, 366, 15, 420 178, 7, 170, 809, 401 179, 18, 13, 14, 822 180, 391, 384, 162, 815 181, 394, 399, 369, 802 182, 416, 180, 181, 820 183, 366, 372, 369, 806 184, 152, 399, 369, 394 185, 410, 378, 159, 379 186, 410, 159, 20, 379 187, 383, 811, 384, 396 188, 812, 374, 381, 376 189, 406, 3, 413, 375 190, 388, 12, 169, 407 191, 426, 168, 175, 390 192, 24, 410, 813, 5 193, 813, 413, 375, 808 194, 811, 426, 818, 389 195, 817, 174, 6, 409 196, 812, 807, 808, 376 197, 811, 379, 380, 813 198, 811, 384, 380, 379 199, 386, 806, 398, 803 200, 378, 410, 813, 379 201, 801, 810, 809, 814 202, 363, 368, 802, 369 203, 822, 18, 414, 14 204, 810, 374, 376, 380 205, 404, 367, 155, 403 206, 382, 2, 370, 400 207, 824, 6, 173, 409 208, 367, 823, 363, 804 209, 816, 801, 814, 823 210, 824, 11, 409, 173 211, 412, 176, 813, 413 212, 377, 405, 808, 406 213, 806, 363, 802, 369 214, 817, 9, 412, 809 215, 3, 4, 413, 375 216, 810, 380, 376, 375 217, 388, 390, 385, 818 218, 812, 801, 808, 807 219, 423, 181, 820, 418 220, 372, 152, 369, 394 221, 813, 24, 424, 425 222, 811, 427, 379, 425 223, 427, 379, 425, 160 224, 24, 813, 177, 425 225, 394, 806, 398, 386 226, 393, 368, 150, 151 227, 157, 382, 400, 2 228, 821, 404, 171, 402 229, 412, 813, 808, 413 230, 810, 812, 376, 374 231, 175, 426, 818, 424 232, 179, 822, 173, 414 233, 170, 412, 808, 413 234, 383, 427, 396, 21 235, 384, 811, 391, 396 236, 801, 816, 814, 809 237, 801, 816, 809, 807 238, 371, 805, 395, 373 239, 396, 427, 167, 21 240, 386, 819, 804, 803 241, 819, 393, 386, 804 242, 367, 400, 155, 403 243, 417, 165, 398, 392 244, 821, 822, 809, 401 245, 813, 810, 808, 375 246, 810, 813, 809, 814 247, 393, 399, 386, 802 248, 388, 818, 385, 392 249, 165, 417, 398, 419 250, 399, 394, 386, 802 251, 803, 417, 398, 392 252, 404, 821, 825, 365 253, 821, 367, 363, 365 254, 419, 417, 398, 803 255, 23, 175, 408, 424 256, 823, 824, 814, 809 257, 20, 379, 425, 177 258, 180, 422, 825, 154 259, 23, 817, 424, 818 260, 823, 821, 824, 809 261, 818, 824, 803, 392 262, 816, 823, 814, 809 263, 373, 371, 1, 395 264, 421, 394, 806, 166 265, 816, 821, 823, 809 266, 163, 373, 1, 395 267, 806, 416, 419, 820 268, 802, 806, 820, 825 269, 806, 802, 820, 803 270, 811, 384, 815, 380 271, 810, 812, 808, 376 272, 23, 24, 424, 817 273, 159, 378, 176, 4 274, 422, 180, 825, 820 275, 180, 422, 181, 820 276, 822, 19, 418, 414 277, 418, 824, 414, 11 278, 400, 367, 156, 370 279, 400, 2, 370, 156 280, 382, 400, 370, 807 281, 368, 363, 802, 804 282, 176, 378, 413, 4 283, 400, 367, 155, 156 284, 824, 822, 414, 173 285, 2, 382, 370, 148 286, 817, 818, 815, 813 287, 426, 811, 424, 425 288, 821, 823, 824, 820 289, 377, 158, 405, 406 290, 374, 162, 815, 387 291, 406, 170, 401, 808 292, 406, 413, 808, 375 293, 172, 824, 409, 408 294, 822, 821, 402, 401 295, 817, 174, 178, 6 296, 172, 417, 11, 409 297, 422, 821, 171, 423 298, 404, 821, 171, 422 299, 417, 824, 11, 409 300, 824, 417, 172, 409 301, 810, 813, 380, 375 302, 374, 805, 387, 815 303, 810, 801, 812, 814 304, 805, 163, 373, 374 305, 396, 383, 21, 161 306, 813, 412, 808, 809 307, 393, 819, 386, 397 308, 805, 373, 812, 374 309, 397, 386, 392, 803 310, 818, 819, 815, 397 311, 417, 388, 392, 824 312, 374, 810, 815, 380 313, 166, 394, 419, 398 314, 388, 164, 417, 392 315, 823, 363, 804, 802 316, 371, 373, 1, 149 317, 805, 819, 387, 815 318, 422, 154, 365, 825 319, 816, 401, 809, 807 320, 806, 416, 825, 420 321, 819, 818, 815, 814 322, 373, 805, 381, 364 323, 388, 818, 824, 172 324, 806, 416, 420, 419 325, 805, 393, 387, 819 326, 175, 168, 22, 390 327, 179, 822, 414, 14 328, 822, 19, 423, 418 329, 388, 12, 407, 172 330, 174, 23, 408, 817 331, 406, 377, 375, 808 332, 382, 807, 370, 381 333, 405, 816, 807, 401 334, 802, 386, 804, 803 335, 824, 818, 408, 172 336, 813, 810, 809, 808 337, 817, 818, 408, 824 338, 824, 11, 173, 414 339, 377, 157, 807, 405 340, 405, 816, 400, 807 341, 821, 823, 820, 825 342, 823, 821, 363, 365 343, 366, 15, 420, 825 344, 404, 422, 365, 825 345, 821, 404, 825, 422 346, 418, 19, 11, 414 347, 410, 378, 813, 176 348, 3, 170, 406, 413 349, 18, 822, 414, 19 350, 405, 406, 401, 808 351, 379, 410, 813, 177 352, 427, 383, 811, 379 353, 819, 386, 397, 803 354, 162, 391, 815, 387 355, 415, 817, 809, 9 356, 417, 164, 165, 392 357, 806, 394, 398, 419 358, 153, 366, 420, 806 359, 372, 152, 394, 10 360, 372, 421, 153, 10 361, 412, 817, 813, 5 362, 176, 412, 813, 5 363, 812, 805, 804, 364 364, 817, 411, 5, 9 365, 368, 805, 364, 804 366, 181, 416, 820, 418 367, 818, 388, 824, 392 368, 811, 813, 424, 425 369, 426, 427, 811, 425 370, 158, 377, 375, 406 371, 385, 397, 392, 803 372, 386, 803, 398, 392 373, 399, 152, 369, 151 374, 379, 811, 425, 813 375, 819, 823, 804, 803 376, 822, 821, 820, 423 377, 165, 166, 419, 398 378, 175, 818, 408, 424 379, 175, 390, 407, 818 380, 405, 401, 807, 808 381, 405, 377, 808, 807 382, 822, 821, 824, 820 383, 411, 24, 817, 5 384, 817, 24, 813, 5 385, 421, 806, 420, 419 386, 410, 20, 177, 379 387, 810, 813, 815, 380 388, 415, 822, 809, 817 389, 823, 819, 814, 803 390, 810, 801, 808, 812 391, 806, 416, 820, 825 392, 822, 18, 423, 19 393, 13, 822, 402, 401 394, 821, 816, 367, 403 395, 13, 822, 17, 402 396, 423, 171, 17, 402 397, 816, 367, 807, 812 398, 367, 816, 807, 400 399, 824, 823, 814, 803 400, 371, 805, 364, 368 401, 157, 405, 400, 807 402, 382, 157, 400, 807 403, 818, 819, 803, 814 404, 419, 417, 803, 820 405, 824, 818, 803, 814 406, 802, 823, 820, 803 407, 170, 401, 808, 809 408, 412, 170, 808, 809 409, 813, 378, 380, 375 410, 154, 180, 15, 825 411, 366, 154, 15, 825 412, 393, 802, 386, 804 413, 418, 822, 824, 820 414, 416, 180, 825, 420 415, 812, 816, 804, 819 416, 368, 399, 369, 151 417, 404, 367, 365, 155 418, 393, 805, 387, 395 419, 371, 805, 150, 395 420, 395, 371, 1, 150 421, 805, 393, 150, 395 422, 366, 363, 365, 825 423, 818, 811, 391, 815 424, 426, 427, 396, 811 425, 363, 823, 825, 802 426, 821, 823, 825, 365 427, 822, 179, 173, 8 428, 806, 363, 825, 802 429, 817, 174, 409, 408 430, 806, 366, 825, 363 431, 824, 417, 820, 803 432, 821, 404, 367, 365 433, 417, 418, 824, 820 434, 416, 417, 419, 820 435, 391, 385, 815, 397 436, 824, 817, 409, 408 437, 393, 819, 397, 387 438, 154, 422, 365, 16 439, 384, 391, 162, 161 440, 389, 818, 391, 385 441, 801, 816, 819, 823 442, 423, 402, 822, 821 443, 822, 402, 423, 17 444, 415, 809, 401, 7 445, 401, 809, 415, 822 446, 401, 13, 415, 7 447, 415, 13, 401, 822 448, 173, 8, 824, 822 449, 173, 824, 8, 6 450, 376, 807, 381, 812 451, 376, 381, 807, 377 452, 6, 178, 824, 8 453, 6, 824, 178, 817 454, 822, 824, 178, 8 455, 822, 178, 824, 817 456, 397, 818, 803, 385 457, 397, 803, 818, 819 458, 371, 373, 364, 805 459, 364, 373, 371, 149 460, 393, 802, 368, 399 461, 368, 802, 393, 804 462, 442, 827, 438, 441 463, 440, 827, 438, 828 464, 826, 171, 422, 437 465, 447, 826, 444, 451 466, 436, 827, 429, 434 467, 435, 450, 188, 433 468, 826, 431, 422, 452 469, 28, 193, 447, 198 470, 186, 432, 445, 33 471, 422, 180, 181, 452 472, 439, 193, 30, 448 473, 453, 454, 448, 828 474, 826, 422, 181, 452 475, 439, 443, 448, 828 476, 31, 439, 30, 448 477, 447, 197, 26, 29 478, 193, 31, 30, 448 479, 192, 32, 456, 441 480, 25, 37, 18, 423 481, 444, 447, 448, 828 482, 826, 171, 423, 422 483, 431, 826, 428, 433 484, 187, 433, 188, 449 485, 436, 827, 440, 429 486, 183, 436, 440, 429 487, 182, 435, 429, 440 488, 184, 827, 455, 456 489, 171, 16, 422, 437 490, 447, 453, 448, 828 491, 826, 446, 195, 34 492, 447, 193, 444, 448 493, 442, 439, 443, 191 494, 442, 35, 443, 194 495, 826, 446, 445, 195 496, 455, 184, 185, 434 497, 430, 36, 445, 196 498, 32, 436, 456, 441 499, 827, 436, 440, 441 500, 443, 194, 444, 827 501, 435, 450, 433, 828 502, 193, 439, 443, 448 503, 446, 171, 196, 37 504, 431, 826, 437, 430 505, 826, 431, 428, 430 506, 433, 450, 188, 449 507, 442, 192, 456, 441 508, 197, 447, 26, 451 509, 827, 442, 456, 441 510, 180, 431, 422, 154 511, 450, 435, 27, 189 512, 429, 827, 828, 434 513, 35, 442, 443, 191 514, 435, 450, 27, 188 515, 19, 197, 18, 423 516, 448, 454, 438, 828 517, 186, 432, 430, 445 518, 827, 194, 455, 456 519, 443, 439, 827, 828 520, 446, 826, 445, 196 521, 32, 183, 436, 441 522, 447, 29, 26, 444 523, 439, 190, 438, 448 524, 436, 827, 434, 184 525, 197, 19, 451, 423 526, 432, 826, 455, 434 527, 431, 180, 452, 15 528, 451, 826, 181, 452 529, 431, 187, 452, 449 530, 428, 826, 432, 434 531, 190, 454, 438, 448 532, 826, 453, 828, 449 533, 826, 453, 449, 451 534, 186, 36, 445, 430 535, 826, 430, 445, 196 536, 193, 447, 444, 29 537, 432, 826, 445, 195 538, 182, 183, 440, 429 539, 440, 828, 438, 189 540, 439, 448, 438, 828 541, 826, 451, 449, 452 542, 826, 453, 451, 447 543, 431, 826, 433, 449 544, 453, 450, 828, 449 545, 453, 450, 454, 828 546, 25, 446, 37, 423 547, 37, 17, 18, 423 548, 435, 182, 27, 189 549, 187, 431, 433, 449 550, 827, 194, 34, 455 551, 446, 826, 444, 34 552, 25, 446, 444, 34 553, 16, 422, 437, 154 554, 436, 183, 440, 441 555, 826, 422, 423, 181 556, 443, 444, 448, 828 557, 450, 435, 189, 440 558, 194, 442, 827, 443 559, 454, 190, 438, 189 560, 827, 436, 456, 184 561, 435, 182, 189, 440 562, 826, 827, 34, 455 563, 827, 826, 34, 444 564, 35, 442, 192, 456 565, 436, 32, 456, 184 566, 432, 455, 185, 434 567, 826, 428, 433, 828 568, 826, 25, 444, 26 569, 17, 171, 423, 37 570, 826, 451, 181, 423 571, 187, 431, 452, 15 572, 194, 442, 456, 827 573, 431, 180, 15, 154 574, 826, 432, 455, 195 575, 193, 439, 30, 443 576, 826, 451, 423, 26 577, 25, 26, 423, 18 578, 436, 827, 456, 441 579, 439, 442, 827, 438 580, 28, 197, 447, 29 581, 826, 827, 828, 444 582, 443, 827, 444, 828 583, 450, 454, 828, 189 584, 826, 827, 455, 434 585, 195, 826, 34, 455 586, 439, 442, 443, 827 587, 450, 433, 828, 449 588, 451, 447, 26, 444 589, 826, 446, 25, 423 590, 193, 28, 447, 29 591, 432, 826, 430, 445 592, 433, 826, 828, 449 593, 431, 826, 422, 437 594, 451, 19, 181, 423 595, 826, 446, 171, 196 596, 36, 16, 196, 437 597, 826, 431, 452, 449 598, 827, 440, 438, 441 599, 16, 171, 196, 437 600, 440, 450, 828, 189 601, 439, 827, 828, 438 602, 428, 429, 828, 434 603, 826, 428, 432, 430 604, 446, 826, 25, 444 605, 193, 443, 444, 448 606, 184, 827, 434, 455 607, 194, 827, 34, 444 608, 827, 826, 828, 434 609, 826, 428, 828, 434 610, 31, 190, 439, 448 611, 193, 198, 448, 447 612, 31, 193, 198, 448 613, 429, 435, 433, 828 614, 25, 826, 423, 26 615, 431, 180, 422, 452 616, 35, 442, 456, 194 617, 195, 432, 455, 185 618, 33, 432, 195, 185 619, 428, 429, 433, 828 620, 827, 429, 828, 440 621, 451, 826, 444, 26 622, 828, 454, 438, 189 623, 33, 432, 445, 195 624, 439, 443, 191, 30 625, 429, 435, 828, 440 626, 437, 36, 430, 196 627, 435, 450, 828, 440 628, 422, 431, 437, 154 629, 423, 446, 171, 826 630, 423, 171, 446, 37 631, 447, 828, 826, 453 632, 826, 828, 447, 444 633, 437, 196, 826, 171 634, 826, 196, 437, 430 635, 423, 197, 26, 451 636, 423, 26, 197, 18 637, 47, 43, 48, 474 638, 462, 475, 473, 210 639, 464, 43, 44, 472 640, 473, 475, 472, 51 641, 475, 462, 204, 50 642, 475, 474, 472, 51 643, 460, 199, 829, 465 644, 475, 462, 458, 461 645, 829, 39, 206, 466 646, 203, 460, 465, 38 647, 475, 473, 210, 51 648, 469, 457, 463, 829 649, 467, 464, 40, 206 650, 829, 469, 457, 459 651, 469, 201, 457, 459 652, 205, 45, 209, 458 653, 460, 203, 468, 461 654, 469, 458, 829, 470 655, 473, 475, 458, 470 656, 465, 199, 829, 466 657, 49, 203, 461, 468 658, 471, 45, 202, 458 659, 203, 460, 468, 465 660, 469, 201, 459, 42 661, 462, 205, 50, 473 662, 464, 474, 472, 470 663, 829, 460, 468, 461 664, 462, 475, 210, 50 665, 45, 471, 209, 458 666, 41, 39, 463, 457 667, 207, 469, 463, 470 668, 473, 205, 209, 458 669, 473, 46, 472, 470 670, 462, 475, 458, 473 671, 829, 464, 463, 470 672, 464, 467, 829, 466 673, 460, 199, 465, 38 674, 472, 46, 44, 470 675, 464, 43, 472, 474 676, 201, 459, 200, 457 677, 460, 829, 200, 459 678, 199, 39, 829, 466 679, 471, 458, 469, 470 680, 43, 47, 472, 474 681, 467, 464, 206, 466 682, 202, 469, 459, 42 683, 469, 463, 457, 41 684, 471, 469, 459, 202 685, 467, 208, 48, 474 686, 469, 207, 463, 41 687, 465, 460, 468, 829 688, 458, 471, 459, 202 689, 471, 458, 459, 469 690, 467, 465, 829, 466 691, 829, 206, 464, 466 692, 48, 43, 40, 474 693, 473, 475, 470, 472 694, 458, 829, 470, 461 695, 199, 39, 457, 829 696, 46, 473, 209, 470 697, 462, 205, 473, 458 698, 463, 44, 207, 470 699, 467, 829, 468, 461 700, 467, 465, 468, 829 701, 472, 464, 470, 44 702, 464, 467, 474, 470 703, 469, 829, 463, 470 704, 469, 201, 41, 457 705, 464, 467, 470, 829 706, 829, 199, 200, 457 707, 458, 475, 461, 470 708, 474, 47, 472, 51 709, 463, 44, 470, 464 710, 460, 199, 200, 829 711, 458, 460, 829, 461 712, 39, 829, 463, 457 713, 475, 462, 461, 204 714, 39, 829, 206, 463 715, 829, 464, 206, 463 716, 201, 459, 42, 200 717, 462, 473, 50, 210 718, 467, 48, 40, 474 719, 464, 467, 40, 474 720, 474, 475, 472, 470 721, 459, 829, 200, 457 722, 829, 467, 470, 461 723, 46, 473, 472, 51 724, 460, 199, 38, 200 725, 43, 464, 40, 474 726, 458, 209, 470, 471 727, 458, 470, 209, 473 728, 459, 829, 458, 460 729, 459, 458, 829, 469 730, 467, 468, 475, 461 731, 467, 470, 475, 474 732, 475, 470, 467, 461 733, 49, 468, 204, 208 734, 49, 204, 468, 461 735, 475, 204, 468, 208 736, 475, 468, 204, 461 737, 475, 467, 208, 468 738, 208, 467, 475, 474 739, 479, 53, 412, 477 740, 413, 216, 483, 482 741, 476, 477, 52, 480 742, 58, 479, 214, 483 743, 476, 211, 56, 482 744, 479, 480, 483, 215 745, 412, 170, 478, 483 746, 412, 477, 176, 413 747, 482, 476, 481, 483 748, 412, 7, 57, 170 749, 412, 53, 5, 477 750, 476, 480, 481, 483 751, 412, 9, 5, 478 752, 479, 53, 478, 412 753, 53, 412, 5, 478 754, 7, 412, 57, 478 755, 170, 412, 413, 483 756, 413, 216, 170, 483 757, 479, 58, 478, 54 758, 477, 479, 213, 480 759, 479, 477, 483, 480 760, 477, 412, 176, 5 761, 9, 53, 5, 478 762, 212, 476, 52, 480 763, 9, 53, 478, 54 764, 53, 479, 213, 477 765, 212, 476, 480, 481 766, 212, 215, 55, 481 767, 58, 479, 478, 214 768, 477, 476, 413, 483 769, 476, 211, 482, 481 770, 214, 483, 478, 57 771, 482, 476, 3, 56 772, 480, 215, 481, 483 773, 476, 482, 3, 413 774, 412, 479, 483, 478 775, 477, 4, 176, 413 776, 479, 214, 483, 478 777, 412, 477, 413, 483 778, 483, 170, 478, 57 779, 4, 476, 3, 413 780, 413, 216, 482, 3 781, 476, 4, 52, 477 782, 170, 483, 216, 57 783, 56, 482, 216, 3 784, 413, 216, 3, 170 785, 55, 476, 481, 211 786, 483, 413, 482, 476 787, 170, 412, 478, 57 788, 4, 476, 413, 477 789, 412, 7, 9, 478 790, 479, 58, 215, 483 791, 477, 476, 483, 480 792, 53, 479, 478, 54 793, 212, 480, 215, 481 794, 412, 479, 477, 483 795, 55, 476, 212, 481 796, 480, 477, 52, 213 797, 60, 218, 217, 219 798, 484, 53, 9, 54 799, 8, 221, 178, 484 800, 59, 486, 485, 219 801, 411, 24, 64, 488 802, 486, 218, 484, 485 803, 62, 218, 485, 484 804, 411, 64, 5, 53 805, 487, 62, 485, 484 806, 6, 221, 178, 8 807, 487, 488, 485, 65 808, 411, 484, 9, 178 809, 174, 221, 487, 484 810, 221, 174, 178, 484 811, 221, 6, 178, 174 812, 66, 486, 488, 65 813, 484, 486, 54, 217 814, 62, 63, 487, 485 815, 411, 23, 24, 488 816, 23, 411, 220, 488 817, 218, 486, 484, 217 818, 486, 218, 485, 219 819, 64, 411, 488, 53 820, 411, 174, 487, 484 821, 486, 64, 488, 53 822, 221, 62, 487, 484 823, 411, 486, 488, 53 824, 61, 487, 485, 65 825, 487, 63, 61, 485 826, 488, 487, 220, 65 827, 221, 62, 484, 8 828, 62, 221, 487, 63 829, 411, 53, 5, 9 830, 59, 61, 485, 65 831, 484, 411, 9, 53 832, 411, 174, 220, 487 833, 218, 486, 217, 219 834, 174, 411, 178, 484 835, 486, 484, 54, 53 836, 411, 24, 5, 64 837, 411, 23, 220, 174 838, 486, 66, 488, 64 839, 486, 411, 484, 53 840, 411, 487, 220, 488 841, 486, 66, 59, 65 842, 65, 486, 485, 59 843, 65, 485, 486, 488 844, 485, 488, 484, 486 845, 485, 484, 488, 487 846, 411, 484, 488, 486 847, 411, 488, 484, 487 848, 484, 8, 62, 489 849, 218, 484, 62, 489 850, 484, 478, 491, 54 851, 179, 8, 178, 489 852, 68, 218, 62, 489 853, 72, 57, 492, 7 854, 72, 69, 13, 489 855, 415, 179, 178, 489 856, 478, 54, 58, 491 857, 74, 490, 492, 67 858, 415, 72, 7, 13 859, 490, 72, 71, 492 860, 492, 222, 491, 73 861, 217, 484, 491, 54 862, 415, 14, 179, 489 863, 478, 58, 214, 491 864, 218, 70, 217, 222 865, 57, 492, 478, 214 866, 492, 484, 478, 491 867, 72, 490, 71, 69 868, 9, 415, 478, 7 869, 218, 70, 222, 67 870, 415, 9, 484, 178 871, 74, 492, 222, 67 872, 492, 478, 214, 491 873, 492, 218, 222, 67 874, 73, 492, 58, 491 875, 484, 490, 492, 489 876, 74, 490, 71, 492 877, 69, 14, 13, 489 878, 68, 490, 489, 69 879, 415, 484, 492, 489 880, 415, 72, 492, 7 881, 415, 9, 478, 484 882, 490, 72, 489, 69 883, 492, 74, 222, 73 884, 484, 9, 478, 54 885, 14, 415, 13, 489 886, 415, 72, 13, 489 887, 415, 492, 478, 7 888, 490, 218, 492, 67 889, 484, 415, 178, 489 890, 72, 415, 492, 489 891, 8, 484, 178, 489 892, 490, 72, 492, 489 893, 70, 218, 217, 60 894, 484, 218, 492, 490 895, 58, 492, 214, 491 896, 218, 68, 67, 490 897, 492, 57, 478, 7 898, 415, 484, 478, 492 899, 489, 218, 490, 68 900, 489, 490, 218, 484 901, 222, 492, 484, 218 902, 484, 492, 222, 491 903, 484, 217, 222, 218 904, 222, 217, 484, 491 905, 513, 82, 503, 83 906, 830, 514, 235, 506 907, 502, 497, 223, 75 908, 229, 504, 501, 831 909, 513, 82, 509, 503 910, 194, 499, 35, 512 911, 236, 500, 512, 76 912, 232, 513, 514, 506 913, 234, 79, 80, 495 914, 830, 499, 500, 501 915, 34, 830, 235, 511 916, 228, 77, 515, 231 917, 232, 513, 503, 83 918, 194, 499, 512, 830 919, 502, 229, 501, 831 920, 226, 510, 80, 495 921, 502, 497, 830, 223 922, 226, 493, 510, 495 923, 456, 498, 32, 192 924, 510, 234, 80, 495 925, 77, 227, 228, 515 926, 505, 830, 506, 831 927, 194, 456, 35, 499 928, 508, 504, 229, 831 929, 515, 504, 236, 500 930, 234, 510, 511, 507 931, 830, 499, 512, 500 932, 223, 497, 830, 494 933, 228, 504, 500, 501 934, 509, 234, 511, 507 935, 82, 513, 509, 78 936, 225, 505, 496, 507 937, 195, 493, 511, 510 938, 513, 78, 235, 511 939, 502, 497, 508, 831 940, 494, 830, 496, 831 941, 494, 493, 496, 830 942, 235, 830, 506, 511 943, 498, 456, 499, 35 944, 493, 455, 830, 494 945, 195, 455, 493, 185 946, 184, 455, 185, 494 947, 830, 505, 506, 511 948, 500, 515, 76, 236 949, 504, 505, 506, 831 950, 504, 228, 229, 501 951, 33, 195, 493, 185 952, 78, 34, 235, 511 953, 830, 505, 496, 831 954, 497, 508, 831, 224 955, 495, 225, 496, 507 956, 502, 508, 229, 831 957, 505, 830, 496, 511 958, 497, 502, 830, 831 959, 455, 493, 185, 494 960, 830, 504, 831, 501 961, 456, 498, 494, 184 962, 224, 505, 496, 225 963, 497, 508, 224, 75 964, 503, 509, 511, 507 965, 228, 504, 515, 500 966, 514, 504, 231, 506 967, 830, 493, 496, 511 968, 513, 232, 503, 506 969, 513, 235, 506, 511 970, 497, 224, 831, 496 971, 503, 233, 234, 507 972, 456, 455, 494, 830 973, 497, 494, 831, 830 974, 503, 513, 511, 509 975, 194, 830, 512, 235 976, 498, 456, 494, 830 977, 504, 830, 236, 500 978, 233, 79, 234, 507 979, 456, 455, 184, 494 980, 194, 455, 830, 34 981, 223, 498, 32, 184 982, 502, 830, 831, 501 983, 79, 495, 507, 225 984, 224, 505, 831, 496 985, 503, 83, 81, 84 986, 82, 83, 81, 503 987, 510, 234, 495, 507 988, 498, 223, 830, 494 989, 498, 502, 830, 223 990, 233, 503, 81, 84 991, 504, 830, 500, 501 992, 503, 233, 81, 509 993, 494, 497, 831, 496 994, 514, 232, 506, 231 995, 508, 505, 831, 224 996, 497, 502, 508, 75 997, 227, 228, 515, 500 998, 234, 79, 495, 507 999, 82, 503, 81, 509 1000, 233, 503, 234, 509 1001, 514, 830, 235, 236 1002, 78, 513, 509, 511 1003, 195, 33, 493, 510 1004, 500, 230, 512, 76 1005, 456, 498, 499, 830 1006, 500, 499, 512, 230 1007, 508, 502, 229, 75 1008, 504, 228, 515, 231 1009, 235, 830, 512, 236 1010, 505, 503, 511, 507 1011, 194, 455, 456, 830 1012, 513, 514, 506, 235 1013, 233, 509, 234, 81 1014, 504, 514, 515, 236 1015, 514, 504, 830, 236 1016, 498, 456, 35, 192 1017, 830, 500, 512, 236 1018, 498, 223, 494, 184 1019, 498, 499, 830, 501 1020, 34, 455, 830, 511 1021, 195, 455, 34, 511 1022, 194, 34, 830, 235 1023, 504, 514, 231, 515 1024, 504, 508, 505, 831 1025, 503, 505, 511, 506 1026, 513, 503, 511, 506 1027, 194, 456, 499, 830 1028, 33, 226, 493, 510 1029, 502, 498, 830, 501 1030, 509, 503, 234, 507 1031, 498, 456, 32, 184 1032, 227, 515, 76, 500 1033, 35, 499, 230, 512 1034, 830, 506, 504, 514 1035, 504, 506, 830, 831 1036, 507, 496, 511, 505 1037, 507, 496, 493, 511 1038, 493, 496, 507, 495 1039, 493, 510, 507, 511 1040, 507, 510, 493, 495 1041, 511, 455, 493, 195 1042, 511, 493, 455, 830 1043, 522, 93, 92, 91 1044, 516, 63, 523, 221 1045, 525, 240, 69, 518 1046, 238, 516, 63, 523 1047, 527, 92, 11, 523 1048, 516, 520, 523, 517 1049, 173, 489, 179, 414 1050, 520, 245, 523, 517 1051, 524, 85, 240, 518 1052, 489, 173, 179, 8 1053, 237, 516, 517, 520 1054, 526, 87, 239, 517 1055, 237, 87, 526, 517 1056, 238, 245, 89, 517 1057, 243, 519, 518, 524 1058, 63, 516, 62, 221 1059, 489, 68, 69, 525 1060, 489, 14, 414, 518 1061, 19, 18, 197, 518 1062, 516, 238, 517, 523 1063, 489, 14, 179, 414 1064, 522, 244, 521, 527 1065, 414, 19, 197, 518 1066, 246, 526, 239, 517 1067, 527, 244, 521, 28 1068, 62, 489, 8, 221 1069, 520, 522, 245, 91 1070, 522, 244, 527, 93 1071, 522, 92, 245, 91 1072, 527, 525, 519, 523 1073, 173, 489, 414, 523 1074, 173, 489, 523, 221 1075, 173, 414, 11, 523 1076, 88, 526, 241, 520 1077, 489, 173, 8, 221 1078, 526, 237, 517, 520 1079, 526, 520, 517, 245 1080, 520, 527, 519, 523 1081, 242, 520, 519, 525 1082, 489, 414, 523, 525 1083, 68, 516, 525, 489 1084, 414, 527, 518, 197 1085, 522, 527, 519, 520 1086, 86, 243, 524, 519 1087, 520, 516, 523, 525 1088, 527, 414, 518, 525 1089, 414, 527, 11, 523 1090, 87, 237, 526, 520 1091, 521, 29, 197, 28 1092, 516, 489, 523, 525 1093, 489, 525, 69, 518 1094, 527, 521, 197, 28 1095, 18, 197, 518, 26 1096, 90, 246, 517, 245 1097, 18, 19, 414, 518 1098, 489, 414, 525, 518 1099, 238, 245, 517, 523 1100, 519, 525, 518, 524 1101, 414, 527, 523, 525 1102, 516, 68, 525, 237 1103, 526, 246, 245, 517 1104, 88, 237, 520, 242 1105, 522, 527, 92, 93 1106, 87, 88, 237, 520 1107, 246, 90, 517, 239 1108, 527, 525, 518, 519 1109, 243, 521, 518, 519 1110, 516, 68, 62, 489 1111, 18, 14, 518, 414 1112, 237, 516, 520, 525 1113, 242, 237, 520, 525 1114, 527, 521, 518, 197 1115, 88, 87, 526, 520 1116, 527, 19, 197, 414 1117, 521, 527, 518, 519 1118, 221, 173, 8, 6 1119, 520, 526, 241, 91 1120, 197, 521, 518, 26 1121, 14, 489, 69, 518 1122, 524, 525, 518, 240 1123, 521, 243, 518, 26 1124, 29, 521, 197, 26 1125, 19, 527, 11, 414 1126, 86, 242, 519, 524 1127, 242, 525, 519, 524 1128, 245, 90, 89, 517 1129, 243, 86, 524, 85 1130, 243, 521, 29, 26 1131, 527, 522, 519, 521 1132, 525, 520, 519, 523 1133, 526, 245, 91, 520 1134, 91, 245, 526, 246 1135, 243, 518, 85, 524 1136, 85, 518, 243, 26 1137, 516, 221, 489, 62 1138, 489, 221, 516, 523 1139, 520, 527, 245, 522 1140, 520, 245, 527, 523 1141, 92, 245, 527, 522 1142, 92, 527, 245, 523 1143, 832, 244, 522, 544 1144, 832, 532, 253, 530 1145, 539, 252, 519, 536 1146, 534, 256, 100, 528 1147, 832, 531, 535, 529 1148, 256, 832, 542, 540 1149, 832, 256, 522, 540 1150, 521, 193, 537, 29 1151, 198, 832, 28, 193 1152, 31, 193, 30, 535 1153, 531, 832, 535, 530 1154, 93, 832, 522, 544 1155, 537, 521, 29, 536 1156, 832, 534, 528, 256 1157, 522, 832, 519, 521 1158, 530, 832, 535, 538 1159, 542, 832, 98, 539 1160, 832, 521, 537, 536 1161, 543, 529, 101, 528 1162, 256, 534, 100, 541 1163, 832, 193, 538, 537 1164, 832, 539, 519, 536 1165, 521, 243, 536, 519 1166, 258, 832, 544, 529 1167, 521, 243, 29, 536 1168, 198, 544, 535, 250 1169, 96, 533, 248, 255 1170, 531, 832, 528, 529 1171, 533, 96, 541, 255 1172, 534, 832, 533, 541 1173, 258, 529, 250, 101 1174, 530, 832, 538, 253 1175, 832, 257, 253, 532 1176, 94, 832, 539, 98 1177, 256, 91, 522, 540 1178, 832, 256, 528, 543 1179, 534, 247, 100, 541 1180, 534, 832, 528, 531 1181, 95, 97, 532, 253 1182, 93, 832, 544, 258 1183, 93, 832, 258, 256 1184, 533, 257, 248, 255 1185, 540, 91, 522, 520 1186, 93, 832, 256, 522 1187, 258, 832, 529, 543 1188, 254, 542, 539, 540 1189, 540, 254, 88, 520 1190, 258, 544, 250, 529 1191, 832, 257, 532, 533 1192, 544, 529, 535, 250 1193, 198, 832, 193, 535 1194, 521, 832, 519, 536 1195, 258, 832, 543, 256 1196, 533, 257, 532, 248 1197, 242, 252, 519, 539 1198, 94, 832, 537, 539 1199, 532, 95, 253, 530 1200, 532, 832, 531, 530 1201, 254, 242, 88, 520 1202, 832, 543, 528, 529 1203, 254, 540, 539, 520 1204, 241, 540, 88, 520 1205, 538, 30, 535, 249 1206, 544, 832, 535, 529 1207, 95, 530, 538, 253 1208, 832, 193, 535, 538 1209, 258, 543, 529, 101 1210, 193, 198, 535, 31 1211, 533, 832, 531, 532 1212, 534, 832, 531, 533 1213, 832, 244, 521, 522 1214, 530, 538, 535, 249 1215, 832, 257, 533, 255 1216, 257, 97, 532, 248 1217, 243, 86, 536, 519 1218, 86, 252, 536, 519 1219, 832, 244, 544, 521 1220, 539, 832, 519, 520 1221, 832, 193, 537, 521 1222, 256, 93, 522, 91 1223, 242, 254, 539, 520 1224, 253, 832, 538, 537 1225, 544, 244, 522, 93 1226, 241, 91, 540, 520 1227, 543, 528, 101, 251 1228, 530, 95, 538, 249 1229, 97, 257, 532, 253 1230, 247, 96, 541, 533 1231, 540, 832, 520, 522 1232, 832, 544, 28, 521 1233, 542, 832, 539, 540 1234, 255, 832, 542, 541 1235, 534, 247, 541, 533 1236, 533, 832, 255, 541 1237, 544, 832, 28, 198 1238, 94, 832, 253, 537 1239, 540, 832, 539, 520 1240, 542, 539, 98, 99 1241, 832, 257, 255, 98 1242, 257, 832, 253, 98 1243, 94, 539, 537, 536 1244, 94, 252, 539, 536 1245, 544, 244, 28, 521 1246, 832, 544, 535, 198 1247, 832, 94, 253, 98 1248, 242, 539, 519, 520 1249, 254, 542, 99, 539 1250, 242, 252, 86, 519 1251, 542, 255, 99, 98 1252, 521, 193, 29, 28 1253, 251, 256, 543, 528 1254, 832, 255, 542, 98 1255, 251, 256, 528, 100 1256, 193, 538, 30, 535 1257, 31, 198, 535, 250 1258, 193, 832, 28, 521 1259, 539, 832, 537, 536 1260, 832, 522, 519, 520 1261, 832, 256, 542, 541 1262, 832, 534, 256, 541 1263, 556, 102, 557, 553 1264, 560, 559, 561, 546 1265, 70, 102, 556, 553 1266, 547, 261, 546, 564 1267, 547, 551, 545, 262 1268, 551, 562, 110, 263 1269, 491, 58, 73, 112 1270, 552, 558, 549, 550 1271, 558, 268, 111, 552 1272, 559, 558, 550, 549 1273, 264, 558, 111, 552 1274, 564, 66, 486, 64 1275, 267, 104, 557, 560 1276, 564, 559, 486, 546 1277, 559, 556, 553, 217 1278, 268, 58, 479, 559 1279, 259, 558, 105, 550 1280, 551, 562, 563, 564 1281, 547, 551, 563, 564 1282, 212, 552, 55, 215 1283, 547, 551, 262, 108 1284, 552, 111, 55, 215 1285, 261, 547, 563, 564 1286, 551, 563, 263, 108 1287, 102, 107, 557, 553 1288, 555, 559, 560, 546 1289, 102, 103, 556, 557 1290, 107, 559, 557, 553 1291, 104, 560, 106, 548 1292, 479, 53, 486, 54 1293, 268, 558, 559, 479 1294, 107, 560, 267, 557 1295, 564, 261, 546, 109 1296, 562, 265, 64, 554 1297, 559, 555, 486, 546 1298, 268, 58, 215, 479 1299, 549, 212, 52, 480 1300, 547, 551, 546, 545 1301, 555, 59, 556, 486 1302, 551, 547, 546, 564 1303, 479, 559, 486, 549 1304, 555, 564, 486, 546 1305, 558, 264, 105, 550 1306, 267, 104, 560, 106 1307, 545, 259, 561, 260 1308, 559, 558, 549, 479 1309, 548, 555, 109, 104 1310, 59, 219, 556, 486 1311, 556, 70, 217, 60 1312, 103, 555, 556, 557 1313, 222, 491, 73, 553 1314, 551, 564, 546, 550 1315, 559, 556, 217, 486 1316, 219, 556, 486, 217 1317, 551, 547, 563, 108 1318, 559, 555, 556, 486 1319, 549, 559, 486, 564 1320, 66, 555, 486, 59 1321, 266, 66, 486, 564 1322, 106, 548, 560, 260 1323, 555, 266, 486, 564 1324, 555, 266, 564, 546 1325, 562, 551, 549, 564 1326, 58, 491, 559, 112 1327, 213, 479, 549, 480 1328, 268, 479, 215, 552 1329, 555, 66, 486, 266 1330, 559, 491, 217, 553 1331, 546, 545, 561, 260 1332, 552, 212, 549, 480 1333, 564, 559, 546, 550 1334, 266, 564, 546, 109 1335, 549, 559, 564, 550 1336, 213, 549, 52, 480 1337, 479, 552, 549, 480 1338, 562, 551, 110, 549 1339, 548, 555, 560, 546 1340, 558, 479, 552, 549 1341, 262, 545, 105, 550 1342, 555, 103, 104, 557 1343, 559, 479, 486, 54 1344, 104, 560, 548, 555 1345, 559, 107, 557, 560 1346, 549, 110, 554, 52 1347, 219, 556, 217, 60 1348, 264, 558, 552, 550 1349, 559, 556, 555, 557 1350, 552, 268, 111, 215 1351, 551, 545, 550, 546 1352, 491, 222, 217, 553 1353, 547, 261, 563, 108 1354, 549, 562, 564, 554 1355, 104, 560, 555, 557 1356, 562, 551, 563, 263 1357, 559, 556, 557, 553 1358, 553, 491, 73, 112 1359, 559, 555, 560, 557 1360, 551, 549, 564, 550 1361, 107, 559, 553, 112 1362, 103, 555, 59, 556 1363, 212, 552, 215, 480 1364, 546, 545, 550, 561 1365, 213, 549, 554, 52 1366, 552, 479, 215, 480 1367, 262, 551, 545, 550 1368, 559, 546, 550, 561 1369, 545, 259, 105, 550 1370, 558, 559, 550, 561 1371, 559, 491, 553, 112 1372, 268, 558, 479, 552 1373, 268, 58, 559, 112 1374, 54, 559, 58, 491 1375, 54, 58, 559, 479 1376, 560, 546, 260, 548 1377, 260, 546, 560, 561 1378, 562, 554, 110, 265 1379, 110, 554, 562, 549 1380, 213, 53, 549, 479 1381, 213, 549, 53, 554 1382, 486, 549, 53, 479 1383, 546, 555, 109, 548 1384, 546, 109, 555, 266 1385, 217, 70, 553, 222 1386, 217, 553, 70, 556 1387, 217, 559, 54, 491 1388, 217, 54, 559, 486 1389, 554, 564, 64, 562 1390, 561, 550, 259, 545 1391, 561, 259, 550, 558 1392, 64, 53, 564, 554 1393, 64, 564, 53, 486 1394, 549, 564, 53, 554 1395, 549, 53, 564, 486 1396, 834, 840, 64, 488 1397, 833, 573, 568, 587 1398, 834, 424, 835, 488 1399, 266, 66, 564, 840 1400, 573, 113, 269, 568 1401, 276, 573, 584, 587 1402, 269, 576, 572, 270 1403, 833, 573, 587, 837 1404, 590, 65, 839, 592 1405, 177, 574, 425, 575 1406, 587, 584, 579, 837 1407, 266, 590, 840, 567 1408, 582, 168, 426, 581 1409, 577, 277, 838, 575 1410, 833, 836, 839, 835 1411, 839, 836, 585, 835 1412, 576, 573, 269, 568 1413, 582, 593, 175, 22 1414, 833, 573, 837, 576 1415, 425, 427, 160, 575 1416, 584, 277, 838, 577 1417, 261, 109, 564, 567 1418, 585, 584, 581, 837 1419, 833, 836, 835, 837 1420, 580, 839, 281, 586 1421, 833, 576, 834, 578 1422, 116, 590, 566, 839 1423, 563, 263, 108, 270 1424, 833, 565, 836, 568 1425, 587, 833, 836, 568 1426, 562, 840, 564, 64 1427, 576, 574, 834, 578 1428, 834, 833, 835, 837 1429, 263, 563, 840, 578 1430, 574, 576, 834, 577 1431, 562, 263, 563, 840 1432, 839, 571, 566, 594 1433, 427, 167, 588, 426 1434, 565, 836, 570, 839 1435, 590, 65, 488, 839 1436, 840, 66, 64, 488 1437, 574, 834, 265, 589 1438, 574, 834, 425, 575 1439, 276, 113, 573, 587 1440, 839, 582, 593, 835 1441, 565, 836, 568, 570 1442, 177, 834, 24, 425 1443, 585, 582, 835, 581 1444, 834, 574, 577, 575 1445, 425, 177, 575, 20 1446, 23, 424, 592, 175 1447, 110, 574, 578, 265 1448, 579, 836, 583, 570 1449, 576, 573, 837, 577 1450, 573, 113, 568, 587 1451, 424, 834, 838, 425 1452, 277, 838, 427, 588 1453, 573, 584, 587, 837 1454, 562, 110, 578, 265 1455, 584, 577, 838, 837 1456, 577, 834, 838, 837 1457, 66, 840, 64, 564 1458, 584, 588, 581, 838 1459, 563, 263, 270, 578 1460, 836, 587, 579, 837 1461, 593, 839, 835, 592 1462, 835, 424, 838, 426 1463, 833, 834, 840, 578 1464, 424, 23, 835, 488 1465, 833, 573, 576, 568 1466, 839, 593, 591, 592 1467, 839, 583, 570, 273 1468, 272, 571, 594, 115 1469, 563, 261, 840, 569 1470, 24, 834, 64, 488 1471, 427, 21, 277, 588 1472, 280, 593, 591, 580 1473, 839, 571, 594, 586 1474, 833, 576, 837, 834 1475, 836, 579, 583, 585 1476, 576, 568, 269, 572 1477, 271, 266, 109, 567 1478, 590, 839, 840, 567 1479, 117, 280, 591, 580 1480, 582, 839, 580, 583 1481, 265, 834, 64, 589 1482, 839, 582, 585, 583 1483, 274, 579, 570, 275 1484, 834, 576, 837, 577 1485, 839, 836, 583, 585 1486, 839, 583, 273, 586 1487, 839, 580, 583, 586 1488, 839, 571, 570, 566 1489, 427, 21, 160, 277 1490, 571, 839, 570, 273 1491, 261, 563, 840, 564 1492, 271, 590, 566, 115 1493, 594, 279, 281, 586 1494, 573, 277, 584, 577 1495, 424, 835, 175, 426 1496, 582, 593, 280, 580 1497, 839, 66, 840, 488 1498, 840, 563, 270, 578 1499, 834, 424, 24, 425 1500, 563, 562, 840, 564 1501, 836, 568, 570, 275 1502, 839, 580, 281, 591 1503, 839, 594, 281, 586 1504, 834, 577, 838, 575 1505, 424, 834, 835, 838 1506, 839, 590, 840, 66 1507, 177, 574, 834, 425 1508, 590, 266, 840, 66 1509, 114, 279, 594, 586 1510, 425, 834, 838, 575 1511, 168, 582, 426, 175 1512, 427, 277, 160, 575 1513, 591, 839, 592, 281 1514, 579, 836, 570, 275 1515, 840, 562, 265, 64 1516, 271, 590, 567, 566 1517, 571, 566, 594, 115 1518, 266, 840, 564, 567 1519, 573, 584, 837, 577 1520, 571, 114, 586, 273 1521, 562, 263, 840, 578 1522, 574, 177, 834, 589 1523, 65, 590, 488, 66 1524, 838, 835, 426, 581 1525, 840, 834, 64, 265 1526, 834, 837, 835, 838 1527, 177, 574, 20, 278 1528, 277, 584, 838, 588 1529, 427, 425, 838, 575 1530, 113, 587, 275, 568 1531, 588, 167, 581, 426 1532, 583, 274, 570, 273 1533, 116, 839, 566, 594 1534, 566, 116, 594, 115 1535, 571, 114, 594, 586 1536, 582, 835, 426, 175 1537, 167, 168, 581, 426 1538, 839, 833, 840, 567 1539, 585, 837, 581, 835 1540, 563, 569, 840, 270 1541, 574, 110, 278, 589 1542, 569, 563, 108, 270 1543, 837, 584, 581, 838 1544, 177, 574, 278, 589 1545, 584, 579, 837, 585 1546, 424, 834, 24, 488 1547, 23, 424, 24, 488 1548, 569, 833, 840, 572 1549, 580, 117, 281, 591 1550, 569, 840, 270, 572 1551, 261, 563, 108, 569 1552, 110, 574, 265, 589 1553, 582, 839, 585, 835 1554, 116, 590, 839, 592 1555, 424, 23, 592, 835 1556, 833, 565, 572, 569 1557, 835, 593, 592, 175 1558, 565, 833, 572, 568 1559, 427, 167, 21, 588 1560, 834, 24, 64, 589 1561, 834, 177, 24, 589 1562, 833, 587, 836, 837 1563, 263, 562, 110, 578 1564, 839, 116, 592, 281 1565, 590, 839, 488, 66 1566, 168, 582, 175, 22 1567, 424, 835, 592, 175 1568, 116, 65, 590, 592 1569, 114, 571, 594, 272 1570, 427, 425, 426, 838 1571, 590, 116, 566, 115 1572, 425, 424, 426, 838 1573, 835, 837, 581, 838 1574, 116, 839, 594, 281 1575, 576, 833, 568, 572 1576, 117, 580, 281, 586 1577, 835, 582, 426, 581 1578, 279, 117, 281, 586 1579, 565, 839, 570, 566 1580, 274, 579, 583, 570 1581, 836, 839, 583, 570 1582, 271, 266, 567, 590 1583, 839, 590, 566, 567 1584, 266, 109, 567, 564 1585, 571, 839, 273, 586 1586, 565, 839, 566, 567 1587, 427, 588, 838, 426 1588, 425, 575, 160, 20 1589, 573, 277, 276, 584 1590, 593, 582, 175, 835 1591, 574, 177, 20, 575 1592, 277, 427, 838, 575 1593, 593, 582, 280, 22 1594, 838, 588, 581, 426 1595, 578, 270, 572, 576 1596, 572, 270, 578, 840 1597, 572, 833, 578, 576 1598, 578, 833, 572, 840 1599, 836, 585, 837, 579 1600, 837, 585, 836, 835 1601, 835, 833, 488, 839 1602, 835, 488, 833, 834 1603, 840, 488, 833, 839 1604, 840, 833, 488, 834 1605, 567, 833, 569, 565 1606, 567, 569, 833, 840 1607, 840, 261, 567, 569 1608, 840, 567, 261, 564 1609, 65, 220, 839, 592 1610, 65, 839, 220, 488 1611, 839, 220, 835, 592 1612, 839, 835, 220, 488 1613, 835, 220, 23, 592 1614, 835, 23, 220, 488 1615, 836, 275, 587, 568 1616, 587, 275, 836, 579 1617, 265, 578, 834, 574 1618, 265, 840, 578, 562 1619, 265, 578, 840, 834 1620, 580, 593, 839, 582 1621, 580, 839, 593, 591 1622, 839, 833, 565, 836 1623, 839, 565, 833, 567 1624, 600, 282, 596, 25 1625, 194, 235, 512, 444 1626, 598, 537, 444, 536 1627, 26, 596, 25, 444 1628, 282, 598, 596, 118 1629, 249, 595, 597, 538 1630, 538, 443, 597, 599 1631, 95, 249, 597, 538 1632, 595, 443, 249, 30 1633, 283, 598, 119, 596 1634, 443, 595, 191, 30 1635, 95, 595, 597, 249 1636, 538, 599, 253, 537 1637, 599, 538, 253, 597 1638, 191, 35, 230, 512 1639, 597, 236, 512, 76 1640, 34, 194, 444, 235 1641, 599, 236, 512, 597 1642, 283, 252, 598, 536 1643, 595, 443, 512, 597 1644, 600, 34, 25, 444 1645, 193, 443, 537, 444 1646, 600, 34, 444, 235 1647, 95, 538, 597, 253 1648, 595, 597, 512, 76 1649, 598, 283, 536, 596 1650, 598, 600, 596, 444 1651, 443, 538, 30, 193 1652, 443, 595, 249, 538 1653, 599, 94, 253, 537 1654, 443, 599, 537, 444 1655, 598, 600, 235, 78 1656, 537, 599, 598, 444 1657, 600, 34, 235, 78 1658, 443, 249, 30, 538 1659, 35, 194, 512, 443 1660, 443, 599, 512, 597 1661, 85, 283, 596, 536 1662, 598, 600, 444, 235 1663, 86, 252, 283, 536 1664, 194, 443, 444, 512 1665, 94, 252, 536, 598 1666, 538, 443, 537, 193 1667, 283, 86, 536, 85 1668, 235, 599, 512, 444 1669, 86, 243, 536, 85 1670, 443, 599, 444, 512 1671, 595, 443, 597, 538 1672, 598, 119, 596, 118 1673, 443, 538, 537, 599 1674, 284, 600, 282, 598 1675, 595, 95, 597, 76 1676, 236, 599, 512, 235 1677, 537, 193, 444, 29 1678, 252, 283, 598, 119 1679, 284, 600, 598, 78 1680, 94, 252, 598, 119 1681, 599, 598, 444, 235 1682, 443, 35, 191, 512 1683, 595, 512, 230, 76 1684, 596, 600, 25, 444 1685, 598, 536, 444, 596 1686, 536, 537, 444, 29 1687, 284, 598, 282, 118 1688, 600, 598, 596, 282 1689, 191, 512, 595, 443 1690, 595, 512, 191, 230 1691, 598, 537, 94, 599 1692, 598, 94, 537, 536 1693, 29, 243, 444, 536 1694, 444, 243, 29, 26 1695, 243, 596, 444, 536 1696, 444, 596, 243, 26 1697, 243, 85, 596, 536 1698, 596, 85, 243, 26 1699, 555, 103, 59, 604 1700, 605, 120, 121, 289 1701, 590, 66, 65, 59 1702, 605, 289, 121, 604 1703, 555, 266, 109, 602 1704, 590, 290, 65, 116 1705, 590, 606, 290, 116 1706, 590, 115, 606, 116 1707, 603, 61, 604, 290 1708, 605, 555, 104, 285 1709, 286, 122, 601, 606 1710, 590, 65, 604, 59 1711, 555, 66, 590, 59 1712, 121, 289, 288, 604 1713, 603, 289, 288, 124 1714, 61, 603, 287, 290 1715, 122, 602, 601, 606 1716, 555, 266, 602, 590 1717, 103, 605, 121, 604 1718, 602, 555, 104, 109 1719, 602, 605, 604, 606 1720, 555, 602, 104, 285 1721, 289, 603, 290, 124 1722, 65, 61, 604, 59 1723, 590, 271, 601, 115 1724, 289, 603, 288, 604 1725, 602, 590, 271, 601 1726, 590, 602, 606, 601 1727, 555, 590, 604, 59 1728, 605, 555, 604, 103 1729, 605, 289, 604, 606 1730, 266, 602, 590, 271 1731, 603, 123, 290, 124 1732, 605, 555, 103, 104 1733, 123, 603, 290, 287 1734, 590, 602, 604, 606 1735, 115, 286, 601, 606 1736, 602, 266, 109, 271 1737, 602, 555, 605, 285 1738, 555, 602, 605, 604 1739, 289, 606, 290, 604 1740, 590, 115, 601, 606 1741, 555, 66, 266, 590 1742, 605, 602, 285, 120 1743, 606, 590, 290, 604 1744, 602, 555, 590, 604 1745, 603, 289, 290, 604 1746, 65, 604, 290, 590 1747, 65, 290, 604, 61 1748, 122, 606, 120, 602 1749, 122, 120, 606, 289 1750, 605, 120, 606, 602 1751, 605, 606, 120, 289 1752, 408, 407, 175, 593 1753, 591, 117, 281, 610 1754, 591, 607, 610, 593 1755, 11, 608, 292, 172 1756, 11, 92, 292, 608 1757, 238, 487, 611, 523 1758, 592, 487, 408, 608 1759, 610, 612, 592, 608 1760, 220, 592, 408, 23 1761, 22, 407, 169, 593 1762, 220, 23, 408, 174 1763, 487, 220, 408, 174 1764, 609, 407, 610, 607 1765, 123, 238, 287, 611 1766, 591, 117, 291, 280 1767, 612, 487, 608, 611 1768, 612, 290, 65, 61 1769, 407, 22, 175, 593 1770, 612, 591, 610, 592 1771, 591, 612, 281, 592 1772, 608, 613, 292, 172 1773, 612, 487, 592, 608 1774, 117, 591, 291, 610 1775, 610, 591, 593, 592 1776, 487, 608, 611, 523 1777, 238, 89, 245, 611 1778, 609, 610, 408, 608 1779, 487, 63, 221, 523 1780, 609, 125, 613, 607 1781, 63, 238, 523, 487 1782, 287, 290, 611, 61 1783, 607, 591, 291, 280 1784, 592, 23, 175, 408 1785, 11, 608, 409, 523 1786, 613, 609, 608, 292 1787, 220, 487, 408, 592 1788, 221, 174, 409, 6 1789, 608, 408, 409, 523 1790, 612, 487, 611, 61 1791, 407, 609, 613, 607 1792, 92, 11, 523, 608 1793, 245, 92, 523, 608 1794, 591, 612, 610, 281 1795, 290, 612, 611, 61 1796, 612, 592, 65, 116 1797, 612, 281, 592, 116 1798, 125, 609, 291, 607 1799, 174, 487, 409, 408 1800, 408, 608, 409, 172 1801, 607, 609, 291, 610 1802, 591, 607, 291, 610 1803, 290, 123, 287, 611 1804, 607, 407, 610, 593 1805, 11, 173, 523, 409 1806, 238, 245, 523, 611 1807, 608, 11, 409, 172 1808, 487, 220, 65, 592 1809, 245, 608, 523, 611 1810, 609, 407, 408, 610 1811, 408, 487, 523, 608 1812, 612, 487, 65, 592 1813, 487, 612, 65, 61 1814, 221, 173, 409, 523 1815, 610, 592, 408, 608 1816, 613, 407, 12, 172 1817, 407, 607, 12, 169 1818, 125, 607, 12, 613 1819, 487, 174, 409, 221 1820, 592, 408, 175, 593 1821, 487, 221, 409, 523 1822, 173, 221, 409, 6 1823, 89, 238, 123, 611 1824, 607, 591, 280, 593 1825, 22, 607, 280, 593 1826, 609, 125, 292, 613 1827, 408, 487, 409, 523 1828, 290, 612, 65, 116 1829, 607, 407, 12, 613 1830, 607, 22, 169, 593 1831, 238, 63, 61, 487 1832, 407, 607, 169, 593 1833, 608, 613, 408, 609 1834, 608, 408, 613, 172 1835, 407, 408, 613, 609 1836, 407, 613, 408, 172 1837, 593, 408, 610, 592 1838, 593, 610, 408, 407 1839, 61, 611, 238, 487 1840, 61, 238, 611, 287 1841, 553, 614, 107, 40 1842, 553, 102, 614, 70 1843, 73, 74, 553, 112 1844, 48, 553, 615, 112 1845, 222, 553, 67, 70 1846, 74, 48, 615, 112 1847, 126, 102, 67, 614 1848, 553, 74, 615, 112 1849, 614, 102, 67, 70 1850, 614, 553, 67, 615 1851, 47, 43, 615, 48 1852, 126, 43, 614, 615 1853, 48, 43, 614, 40 1854, 48, 43, 615, 614 1855, 553, 222, 67, 615 1856, 222, 74, 67, 615 1857, 102, 553, 614, 107 1858, 74, 222, 553, 615 1859, 222, 73, 74, 553 1860, 553, 48, 615, 614 1861, 48, 553, 112, 107 1862, 74, 47, 615, 48 1863, 126, 614, 67, 615 1864, 553, 614, 67, 70 1865, 553, 48, 614, 40 1866, 48, 553, 107, 40 1867, 556, 219, 59, 485 1868, 239, 618, 90, 517 1869, 238, 89, 603, 517 1870, 70, 218, 556, 67 1871, 556, 218, 219, 485 1872, 604, 617, 121, 616 1873, 618, 603, 288, 124 1874, 516, 238, 63, 61 1875, 603, 516, 485, 61 1876, 238, 516, 603, 61 1877, 516, 617, 616, 517 1878, 516, 218, 485, 62 1879, 123, 89, 603, 238 1880, 617, 618, 517, 603 1881, 604, 102, 126, 103 1882, 126, 604, 103, 121 1883, 604, 617, 616, 516 1884, 126, 616, 121, 127 1885, 102, 70, 556, 67 1886, 126, 604, 121, 616 1887, 238, 287, 61, 603 1888, 516, 62, 485, 63 1889, 89, 123, 603, 124 1890, 618, 89, 603, 124 1891, 218, 556, 219, 60 1892, 616, 617, 121, 127 1893, 618, 617, 288, 603 1894, 89, 618, 90, 124 1895, 618, 89, 90, 517 1896, 516, 218, 616, 485 1897, 604, 556, 59, 485 1898, 218, 516, 616, 68 1899, 67, 218, 616, 68 1900, 604, 516, 616, 485 1901, 293, 617, 616, 127 1902, 287, 123, 603, 238 1903, 102, 604, 556, 103 1904, 556, 218, 485, 616 1905, 617, 239, 517, 618 1906, 604, 617, 288, 121 1907, 604, 556, 485, 616 1908, 617, 237, 616, 517 1909, 516, 63, 485, 61 1910, 556, 604, 126, 616 1911, 102, 556, 126, 67 1912, 102, 604, 126, 556 1913, 604, 617, 517, 603 1914, 617, 604, 517, 516 1915, 516, 604, 517, 603 1916, 67, 556, 126, 616 1917, 237, 617, 616, 293 1918, 218, 556, 67, 616 1919, 617, 239, 87, 517 1920, 604, 603, 485, 61 1921, 516, 237, 616, 68 1922, 556, 604, 59, 103 1923, 218, 516, 68, 62 1924, 237, 516, 616, 517 1925, 617, 604, 288, 603 1926, 293, 617, 87, 517 1927, 604, 516, 485, 603 1928, 604, 485, 59, 61 1929, 516, 238, 603, 517 1930, 89, 618, 603, 517 1931, 218, 70, 556, 60 1932, 237, 293, 87, 517 1933, 237, 617, 293, 517 1934, 624, 631, 847, 848 1935, 297, 844, 623, 632 1936, 308, 130, 643, 843 1937, 629, 474, 847, 208 1938, 637, 306, 845, 650 1939, 626, 629, 475, 847 1940, 640, 299, 639, 625 1941, 842, 844, 841, 847 1942, 492, 842, 58, 214 1943, 631, 844, 632, 625 1944, 51, 130, 843, 71 1945, 133, 295, 638, 621 1946, 631, 622, 844, 846 1947, 303, 81, 627, 84 1948, 624, 629, 626, 847 1949, 846, 635, 628, 296 1950, 846, 634, 636, 845 1951, 308, 646, 843, 643 1952, 51, 843, 130, 648 1953, 297, 632, 298, 129 1954, 268, 842, 58, 112 1955, 651, 846, 305, 845 1956, 650, 637, 843, 845 1957, 631, 846, 628, 296 1958, 624, 848, 845, 628 1959, 629, 204, 475, 208 1960, 651, 306, 636, 305 1961, 624, 628, 845, 634 1962, 631, 624, 847, 625 1963, 637, 306, 636, 845 1964, 846, 622, 621, 296 1965, 640, 639, 847, 625 1966, 843, 644, 309, 645 1967, 492, 848, 643, 71 1968, 842, 268, 641, 112 1969, 848, 650, 843, 845 1970, 83, 81, 627, 82 1971, 492, 848, 74, 847 1972, 648, 50, 626, 304 1973, 74, 48, 641, 847 1974, 83, 304, 647, 627 1975, 624, 848, 843, 845 1976, 642, 842, 623, 111 1977, 303, 637, 302, 630 1978, 846, 619, 649, 621 1979, 303, 81, 307, 627 1980, 650, 848, 841, 845 1981, 651, 650, 841, 845 1982, 848, 846, 841, 845 1983, 622, 846, 619, 841 1984, 216, 56, 649, 482 1985, 846, 651, 841, 845 1986, 619, 846, 649, 841 1987, 643, 848, 843, 71 1988, 216, 651, 57, 841 1989, 481, 620, 211, 482 1990, 630, 637, 302, 634 1991, 48, 74, 641, 112 1992, 635, 128, 638, 301 1993, 640, 629, 49, 299 1994, 628, 846, 845, 634 1995, 651, 216, 649, 841 1996, 642, 842, 844, 623 1997, 633, 647, 304, 627 1998, 844, 622, 623, 841 1999, 846, 305, 621, 649 2000, 131, 308, 644, 843 2001, 626, 633, 843, 648 2002, 268, 620, 842, 111 2003, 308, 131, 130, 843 2004, 297, 631, 622, 844 2005, 624, 626, 848, 847 2006, 204, 629, 475, 626 2007, 842, 844, 847, 639 2008, 630, 624, 845, 634 2009, 848, 492, 74, 71 2010, 483, 216, 57, 841 2011, 624, 629, 847, 625 2012, 842, 492, 847, 841 2013, 637, 303, 307, 843 2014, 622, 844, 846, 841 2015, 639, 844, 847, 625 2016, 626, 624, 848, 843 2017, 210, 51, 648, 475 2018, 474, 629, 475, 208 2019, 629, 640, 847, 625 2020, 214, 842, 483, 841 2021, 844, 642, 632, 300 2022, 631, 297, 632, 844 2023, 620, 481, 841, 482 2024, 268, 642, 842, 639 2025, 842, 639, 847, 641 2026, 492, 842, 214, 841 2027, 620, 619, 211, 482 2028, 131, 644, 309, 843 2029, 49, 629, 208, 204 2030, 846, 305, 636, 638 2031, 483, 216, 841, 482 2032, 631, 622, 846, 296 2033, 842, 620, 481, 841 2034, 111, 642, 298, 623 2035, 848, 846, 845, 628 2036, 492, 848, 841, 650 2037, 635, 295, 638, 128 2038, 637, 630, 845, 634 2039, 639, 640, 847, 641 2040, 632, 642, 298, 129 2041, 626, 210, 475, 50 2042, 648, 50, 210, 626 2043, 306, 651, 636, 845 2044, 648, 131, 309, 843 2045, 642, 842, 639, 844 2046, 633, 647, 627, 843 2047, 303, 307, 843, 627 2048, 642, 632, 300, 129 2049, 651, 846, 649, 305 2050, 633, 647, 648, 304 2051, 204, 626, 475, 50 2052, 306, 637, 134, 650 2053, 646, 650, 132, 134 2054, 642, 268, 842, 111 2055, 216, 841, 482, 649 2056, 642, 844, 632, 298 2057, 846, 651, 649, 841 2058, 842, 620, 623, 111 2059, 268, 620, 111, 215 2060, 214, 483, 57, 841 2061, 56, 619, 649, 482 2062, 648, 626, 475, 843 2063, 848, 650, 643, 843 2064, 631, 844, 848, 846 2065, 645, 82, 647, 627 2066, 650, 646, 643, 843 2067, 633, 624, 843, 630 2068, 51, 648, 475, 843 2069, 474, 51, 475, 843 2070, 844, 848, 841, 847 2071, 846, 622, 619, 621 2072, 639, 844, 625, 300 2073, 844, 632, 625, 300 2074, 635, 846, 301, 638 2075, 640, 629, 847, 208 2076, 81, 83, 627, 84 2077, 842, 620, 215, 481 2078, 128, 635, 621, 296 2079, 295, 635, 621, 128 2080, 306, 651, 845, 650 2081, 133, 294, 621, 649 2082, 846, 635, 301, 628 2083, 492, 848, 847, 841 2084, 619, 620, 623, 841 2085, 268, 620, 215, 842 2086, 492, 72, 71, 643 2087, 72, 650, 132, 643 2088, 619, 620, 841, 482 2089, 481, 483, 841, 482 2090, 640, 629, 299, 625 2091, 481, 842, 841, 483 2092, 846, 305, 845, 636 2093, 305, 133, 621, 649 2094, 642, 844, 639, 300 2095, 635, 846, 621, 296 2096, 492, 214, 57, 841 2097, 650, 651, 841, 57 2098, 619, 294, 649, 621 2099, 299, 639, 625, 300 2100, 845, 634, 636, 302 2101, 630, 633, 627, 843 2102, 650, 646, 132, 643 2103, 846, 301, 636, 634 2104, 72, 492, 57, 650 2105, 646, 308, 132, 643 2106, 637, 845, 636, 302 2107, 622, 297, 844, 623 2108, 633, 624, 626, 843 2109, 481, 842, 483, 215 2110, 846, 305, 638, 621 2111, 626, 210, 648, 475 2112, 637, 630, 843, 845 2113, 650, 637, 134, 843 2114, 646, 650, 134, 843 2115, 842, 268, 58, 215 2116, 633, 647, 843, 648 2117, 842, 58, 483, 215 2118, 637, 634, 845, 302 2119, 846, 635, 621, 638 2120, 83, 82, 627, 647 2121, 651, 305, 636, 845 2122, 635, 295, 621, 638 2123, 634, 301, 636, 302 2124, 844, 846, 841, 848 2125, 305, 133, 638, 621 2126, 642, 844, 298, 623 2127, 620, 481, 211, 55 2128, 648, 843, 309, 647 2129, 304, 633, 626, 648 2130, 56, 294, 649, 619 2131, 640, 629, 208, 49 2132, 846, 301, 634, 628 2133, 81, 82, 645, 627 2134, 303, 637, 630, 843 2135, 644, 646, 307, 843 2136, 848, 492, 643, 650 2137, 492, 72, 643, 650 2138, 307, 81, 645, 627 2139, 131, 648, 130, 843 2140, 631, 844, 847, 848 2141, 641, 640, 847, 208 2142, 308, 644, 843, 646 2143, 844, 631, 847, 625 2144, 842, 268, 639, 641 2145, 622, 619, 623, 841 2146, 130, 643, 843, 71 2147, 309, 82, 647, 645 2148, 492, 650, 841, 57 2149, 843, 309, 647, 645 2150, 620, 842, 623, 841 2151, 301, 846, 636, 638 2152, 842, 844, 623, 841 2153, 843, 645, 647, 627 2154, 630, 624, 843, 845 2155, 843, 307, 645, 627 2156, 842, 58, 214, 483 2157, 620, 111, 215, 55 2158, 644, 307, 645, 843 2159, 303, 630, 627, 843 2160, 481, 620, 215, 55 2161, 841, 619, 482, 649 2162, 56, 619, 482, 211 2163, 631, 846, 848, 628 2164, 624, 631, 848, 628 2165, 297, 631, 296, 622 2166, 629, 474, 475, 847 2167, 632, 844, 623, 298 2168, 297, 632, 623, 298 2169, 47, 48, 847, 474 2170, 47, 847, 48, 74 2171, 848, 47, 847, 474 2172, 848, 847, 47, 74 2173, 71, 848, 47, 74 2174, 847, 48, 208, 474 2175, 847, 208, 48, 641 2176, 112, 842, 847, 641 2177, 112, 58, 847, 842 2178, 492, 847, 58, 842 2179, 847, 475, 848, 474 2180, 847, 848, 475, 626 2181, 843, 848, 475, 474 2182, 843, 475, 848, 626 2183, 843, 134, 307, 637 2184, 843, 307, 134, 646 2185, 848, 47, 843, 71 2186, 848, 843, 47, 474 2187, 51, 843, 47, 71 2188, 51, 47, 843, 474 2189, 74, 112, 847, 641 2190, 73, 74, 847, 492 2191, 847, 74, 73, 112 2192, 847, 58, 73, 492 2193, 73, 58, 847, 112 2194, 660, 318, 653, 658 2195, 316, 652, 313, 656 2196, 255, 542, 659, 849 2197, 288, 618, 664, 617 2198, 663, 288, 664, 617 2199, 666, 663, 665, 850 2200, 96, 316, 656, 661 2201, 318, 660, 137, 658 2202, 256, 657, 662, 541 2203, 542, 99, 255, 659 2204, 850, 659, 137, 254 2205, 850, 654, 653, 315 2206, 659, 99, 137, 254 2207, 660, 850, 137, 658 2208, 652, 849, 661, 312 2209, 542, 255, 541, 849 2210, 314, 652, 662, 138 2211, 256, 662, 849, 541 2212, 652, 317, 662, 138 2213, 652, 317, 138, 313 2214, 655, 311, 659, 312 2215, 654, 663, 122, 315 2216, 657, 662, 541, 849 2217, 655, 311, 850, 659 2218, 663, 850, 664, 665 2219, 526, 617, 87, 293 2220, 663, 121, 654, 289 2221, 850, 542, 849, 659 2222, 289, 663, 288, 664 2223, 666, 655, 849, 662 2224, 663, 666, 315, 850 2225, 850, 655, 659, 849 2226, 666, 655, 315, 850 2227, 316, 652, 135, 313 2228, 655, 666, 315, 314 2229, 655, 850, 653, 315 2230, 311, 660, 850, 659 2231, 850, 663, 654, 315 2232, 121, 663, 288, 289 2233, 666, 655, 662, 314 2234, 652, 655, 849, 312 2235, 239, 618, 617, 664 2236, 850, 663, 664, 617 2237, 526, 665, 91, 246 2238, 652, 316, 135, 661 2239, 654, 289, 120, 122 2240, 652, 317, 656, 662 2241, 660, 311, 653, 136 2242, 663, 850, 654, 658 2243, 850, 660, 653, 658 2244, 850, 127, 137, 658 2245, 542, 850, 254, 659 2246, 318, 310, 653, 658 2247, 618, 124, 288, 664 2248, 663, 121, 288, 617 2249, 850, 127, 658, 617 2250, 317, 657, 662, 100 2251, 526, 665, 246, 664 2252, 127, 850, 137, 254 2253, 665, 850, 664, 617 2254, 656, 652, 849, 661 2255, 239, 526, 246, 664 2256, 99, 542, 254, 659 2257, 850, 542, 254, 540 2258, 662, 657, 656, 849 2259, 657, 256, 662, 100 2260, 311, 660, 653, 850 2261, 652, 317, 313, 656 2262, 121, 663, 654, 658 2263, 657, 247, 541, 100 2264, 256, 657, 541, 100 2265, 121, 289, 120, 654 2266, 654, 850, 653, 658 2267, 127, 121, 658, 617 2268, 665, 526, 293, 617 2269, 655, 311, 653, 850 2270, 665, 526, 91, 241 2271, 665, 241, 91, 540 2272, 542, 850, 665, 540 2273, 659, 255, 849, 661 2274, 317, 657, 656, 662 2275, 655, 652, 849, 662 2276, 316, 652, 656, 661 2277, 127, 850, 293, 617 2278, 850, 665, 293, 617 2279, 239, 90, 664, 246 2280, 314, 655, 662, 652 2281, 124, 289, 288, 664 2282, 90, 239, 664, 618 2283, 654, 121, 658, 120 2284, 256, 665, 91, 540 2285, 256, 542, 665, 540 2286, 88, 526, 87, 293 2287, 850, 127, 293, 254 2288, 660, 850, 659, 137 2289, 654, 120, 658, 310 2290, 652, 135, 312, 661 2291, 256, 666, 849, 662 2292, 96, 247, 541, 656 2293, 662, 652, 849, 656 2294, 310, 654, 653, 658 2295, 655, 666, 849, 850 2296, 90, 124, 618, 664 2297, 96, 541, 849, 656 2298, 542, 256, 849, 541 2299, 850, 542, 665, 849 2300, 666, 850, 665, 849 2301, 542, 256, 665, 849 2302, 256, 666, 665, 849 2303, 289, 663, 122, 654 2304, 526, 239, 87, 617 2305, 96, 656, 849, 661 2306, 658, 663, 617, 121 2307, 658, 617, 663, 850 2308, 241, 88, 665, 526 2309, 241, 665, 88, 540 2310, 293, 665, 88, 526 2311, 849, 96, 255, 541 2312, 849, 255, 96, 661 2313, 318, 653, 136, 660 2314, 318, 136, 653, 310 2315, 664, 526, 617, 239 2316, 664, 617, 526, 665 2317, 312, 849, 659, 655 2318, 312, 659, 849, 661 2319, 656, 541, 657, 247 2320, 656, 657, 541, 849 2321, 665, 88, 850, 293 2322, 665, 850, 88, 540 2323, 254, 850, 88, 293 2324, 254, 88, 850, 540 2325, 419, 165, 690, 166 2326, 674, 856, 676, 675 2327, 187, 452, 670, 15 2328, 860, 856, 676, 692 2329, 92, 527, 864, 695 2330, 674, 140, 698, 326 2331, 860, 856, 687, 681 2332, 864, 244, 544, 857 2333, 447, 864, 544, 857 2334, 448, 447, 857, 858 2335, 447, 244, 544, 864 2336, 292, 696, 683, 328 2337, 676, 852, 692, 324 2338, 863, 685, 417, 682 2339, 667, 321, 855, 686 2340, 864, 860, 695, 857 2341, 180, 181, 865, 416 2342, 452, 449, 187, 855 2343, 856, 860, 687, 692 2344, 864, 453, 862, 858 2345, 860, 856, 695, 857 2346, 674, 856, 675, 857 2347, 325, 856, 698, 684 2348, 861, 686, 854, 855 2349, 852, 689, 691, 692 2350, 861, 693, 692, 691 2351, 856, 694, 695, 857 2352, 682, 125, 12, 613 2353, 19, 418, 11, 527 2354, 19, 418, 451, 181 2355, 675, 676, 673, 858 2356, 863, 693, 681, 860 2357, 527, 447, 244, 28 2358, 674, 325, 676, 856 2359, 11, 863, 417, 172 2360, 329, 696, 684, 698 2361, 325, 698, 856, 674 2362, 696, 856, 698, 694 2363, 420, 419, 855, 421 2364, 853, 852, 858, 673 2365, 685, 863, 417, 419 2366, 418, 863, 11, 527 2367, 325, 856, 684, 687 2368, 864, 451, 862, 453 2369, 669, 449, 854, 187 2370, 854, 667, 670, 855 2371, 689, 852, 323, 692 2372, 852, 689, 861, 691 2373, 672, 188, 320, 450 2374, 27, 672, 320, 450 2375, 682, 164, 417, 172 2376, 863, 859, 861, 862 2377, 689, 668, 677, 851 2378, 863, 92, 11, 527 2379, 685, 419, 165, 690 2380, 859, 863, 861, 693 2381, 696, 683, 328, 684 2382, 682, 863, 172, 417 2383, 676, 856, 687, 692 2384, 678, 852, 676, 324 2385, 181, 180, 865, 452 2386, 686, 321, 855, 688 2387, 667, 321, 686, 322 2388, 449, 452, 865, 855 2389, 853, 852, 862, 858 2390, 453, 853, 450, 862 2391, 420, 153, 421, 855 2392, 188, 27, 320, 450 2393, 325, 676, 687, 324 2394, 668, 689, 854, 851 2395, 671, 680, 673, 858 2396, 859, 686, 861, 855 2397, 420, 452, 670, 855 2398, 125, 682, 683, 613 2399, 672, 669, 851, 320 2400, 667, 321, 670, 855 2401, 859, 863, 419, 416 2402, 139, 689, 677, 323 2403, 678, 853, 672, 673 2404, 668, 319, 677, 851 2405, 689, 139, 677, 668 2406, 449, 453, 450, 862 2407, 419, 690, 855, 421 2408, 854, 669, 851, 862 2409, 153, 421, 855, 688 2410, 859, 419, 855, 420 2411, 92, 863, 864, 527 2412, 861, 859, 855, 862 2413, 92, 863, 11, 292 2414, 321, 153, 670, 855 2415, 527, 92, 93, 695 2416, 421, 153, 10, 688 2417, 852, 678, 673, 853 2418, 860, 687, 692, 681 2419, 685, 419, 417, 165 2420, 864, 527, 857, 695 2421, 860, 852, 692, 676 2422, 679, 857, 680, 250 2423, 448, 198, 680, 857 2424, 12, 682, 613, 172 2425, 180, 452, 420, 865 2426, 860, 864, 862, 858 2427, 679, 675, 680, 857 2428, 198, 544, 250, 680 2429, 863, 864, 865, 862 2430, 198, 857, 544, 680 2431, 292, 125, 683, 613 2432, 164, 685, 417, 165 2433, 187, 854, 670, 855 2434, 697, 679, 258, 857 2435, 683, 856, 687, 684 2436, 679, 697, 101, 327 2437, 856, 674, 698, 694 2438, 696, 856, 683, 684 2439, 857, 697, 695, 258 2440, 669, 853, 851, 862 2441, 447, 864, 857, 858 2442, 447, 527, 244, 864 2443, 693, 863, 861, 860 2444, 854, 861, 855, 862 2445, 418, 863, 527, 864 2446, 188, 672, 669, 450 2447, 418, 19, 197, 527 2448, 853, 454, 450, 672 2449, 451, 449, 862, 453 2450, 671, 448, 680, 858 2451, 852, 861, 692, 691 2452, 319, 668, 669, 851 2453, 672, 320, 851, 677 2454, 451, 181, 865, 452 2455, 667, 669, 854, 187 2456, 860, 863, 861, 862 2457, 244, 527, 93, 695 2458, 244, 527, 857, 864 2459, 863, 292, 683, 682 2460, 125, 292, 683, 328 2461, 319, 669, 677, 851 2462, 418, 451, 181, 865 2463, 452, 180, 420, 15 2464, 326, 674, 694, 698 2465, 863, 859, 865, 416 2466, 322, 667, 668, 854 2467, 690, 419, 166, 421 2468, 452, 420, 865, 855 2469, 852, 860, 858, 676 2470, 667, 686, 855, 854 2471, 856, 860, 858, 857 2472, 452, 187, 670, 855 2473, 859, 686, 691, 861 2474, 686, 859, 691, 690 2475, 454, 671, 672, 853 2476, 672, 853, 669, 450 2477, 856, 696, 695, 694 2478, 693, 859, 691, 861 2479, 852, 853, 851, 672 2480, 859, 693, 691, 690 2481, 853, 669, 450, 862 2482, 689, 322, 668, 854 2483, 449, 854, 187, 855 2484, 685, 164, 417, 682 2485, 447, 451, 864, 453 2486, 164, 682, 12, 172 2487, 418, 863, 417, 11 2488, 419, 859, 416, 420 2489, 322, 689, 686, 854 2490, 667, 322, 686, 854 2491, 421, 690, 855, 688 2492, 669, 667, 854, 851 2493, 420, 859, 865, 855 2494, 857, 448, 858, 680 2495, 852, 860, 692, 861 2496, 451, 418, 864, 865 2497, 188, 449, 450, 669 2498, 418, 181, 416, 865 2499, 453, 853, 862, 858 2500, 451, 864, 862, 865 2501, 669, 449, 450, 862 2502, 863, 418, 416, 865 2503, 682, 292, 683, 613 2504, 418, 863, 864, 865 2505, 667, 668, 854, 851 2506, 857, 679, 258, 544 2507, 668, 667, 669, 851 2508, 674, 675, 679, 857 2509, 674, 326, 694, 327 2510, 678, 323, 677, 851 2511, 678, 852, 323, 851 2512, 672, 853, 851, 669 2513, 323, 689, 677, 851 2514, 859, 863, 865, 862 2515, 694, 697, 695, 857 2516, 671, 448, 853, 453 2517, 320, 669, 851, 677 2518, 447, 527, 197, 28 2519, 852, 689, 323, 851 2520, 861, 689, 851, 854 2521, 852, 689, 851, 861 2522, 861, 852, 862, 851 2523, 852, 853, 862, 851 2524, 852, 860, 862, 858 2525, 454, 671, 853, 453 2526, 153, 321, 10, 688 2527, 671, 454, 448, 453 2528, 690, 686, 855, 688 2529, 447, 198, 544, 28 2530, 244, 447, 544, 28 2531, 853, 454, 453, 450 2532, 863, 92, 864, 695 2533, 854, 861, 862, 851 2534, 93, 544, 695, 258 2535, 860, 852, 862, 861 2536, 448, 190, 680, 31 2537, 198, 448, 680, 31 2538, 697, 674, 857, 694 2539, 448, 853, 453, 858 2540, 680, 675, 673, 858 2541, 696, 856, 684, 698 2542, 325, 140, 684, 698 2543, 671, 454, 672, 189 2544, 856, 683, 687, 681 2545, 448, 671, 853, 858 2546, 853, 671, 673, 858 2547, 860, 864, 858, 857 2548, 678, 852, 672, 853 2549, 865, 449, 855, 862 2550, 689, 139, 668, 322 2551, 678, 672, 851, 677 2552, 544, 857, 250, 680 2553, 153, 420, 670, 855 2554, 859, 865, 855, 862 2555, 292, 682, 172, 613 2556, 454, 671, 190, 189 2557, 671, 454, 190, 448 2558, 292, 863, 172, 682 2559, 329, 696, 328, 684 2560, 863, 685, 693, 690 2561, 859, 863, 693, 690 2562, 451, 452, 865, 449 2563, 668, 139, 677, 319 2564, 856, 860, 695, 683 2565, 863, 860, 864, 862 2566, 449, 188, 187, 669 2567, 696, 856, 695, 683 2568, 697, 674, 679, 857 2569, 674, 856, 857, 694 2570, 856, 860, 683, 681 2571, 448, 671, 680, 190 2572, 92, 863, 292, 695 2573, 697, 679, 101, 258 2574, 198, 447, 544, 857 2575, 860, 863, 864, 695 2576, 697, 674, 327, 679 2577, 696, 292, 683, 695 2578, 863, 860, 683, 695 2579, 292, 863, 683, 695 2580, 189, 454, 672, 450 2581, 856, 675, 858, 676 2582, 675, 856, 858, 857 2583, 189, 27, 450, 672 2584, 860, 856, 858, 676 2585, 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226 3679, 510, 80, 234, 790 3680, 307, 791, 509, 234 3681, 234, 510, 791, 511 3682, 82, 309, 509, 645 3683, 226, 510, 33, 788 3684, 791, 646, 509, 511 3685, 784, 446, 511, 445 3686, 791, 134, 783, 356 3687, 446, 789, 783, 511 3688, 309, 82, 509, 78 3689, 186, 36, 788, 445 3690, 646, 791, 783, 511 3691, 784, 791, 511, 783 3692, 644, 789, 282, 600 3693, 309, 644, 509, 645 3694, 784, 510, 788, 445 3695, 784, 446, 196, 783 3696, 132, 646, 134, 783 3697, 644, 131, 309, 284 3698, 510, 784, 788, 790 3699, 644, 646, 511, 509 3700, 600, 644, 511, 284 3701, 646, 791, 134, 783 3702, 355, 646, 783, 789 3703, 446, 34, 25, 600 3704, 282, 644, 600, 284 3705, 282, 789, 25, 600 3706, 784, 510, 511, 791 3707, 644, 509, 511, 284 3708, 284, 509, 309, 644 3709, 284, 309, 509, 78 3710, 282, 284, 308, 644 3711, 282, 308, 284, 118 3712, 131, 308, 284, 644 3713, 131, 284, 308, 118 3714, 790, 784, 357, 356 3715, 790, 357, 784, 788 3716, 146, 357, 784, 356 3717, 146, 784, 357, 788 3718, 792, 234, 79, 80 3719, 146, 356, 351, 793 3720, 798, 796, 362, 638 3721, 883, 799, 800, 302 3722, 360, 793, 800, 359 3723, 796, 305, 787, 354 3724, 786, 637, 306, 883 3725, 790, 234, 792, 80 3726, 307, 637, 797, 303 3727, 145, 787, 794, 352 3728, 786, 356, 791, 793 3729, 796, 295, 362, 638 3730, 793, 790, 792, 357 3731, 798, 796, 147, 362 3732, 301, 798, 128, 638 3733, 800, 637, 797, 791 3734, 356, 786, 351, 793 3735, 796, 133, 638, 305 3736, 787, 795, 794, 352 3737, 637, 307, 797, 791 3738, 785, 795, 787, 352 3739, 793, 800, 797, 791 3740, 303, 637, 800, 302 3741, 792, 233, 797, 79 3742, 637, 883, 800, 302 3743, 790, 234, 797, 792 3744, 799, 883, 798, 636 3745, 786, 883, 306, 785 3746, 786, 793, 883, 795 3747, 790, 792, 357, 80 3748, 301, 799, 798, 636 3749, 796, 305, 638, 883 3750, 798, 301, 636, 638 3751, 883, 785, 795, 787 3752, 133, 796, 638, 295 3753, 786, 637, 134, 306 3754, 796, 798, 147, 794 3755, 786, 637, 883, 791 3756, 796, 883, 794, 787 3757, 796, 133, 305, 354 3758, 883, 637, 306, 636 3759, 883, 637, 800, 791 3760, 798, 883, 638, 636 3761, 883, 305, 638, 636 3762, 301, 799, 636, 302 3763, 361, 799, 795, 883 3764, 81, 234, 233, 797 3765, 303, 81, 84, 797 3766, 786, 356, 134, 791 3767, 799, 361, 795, 360 3768, 234, 233, 797, 792 3769, 358, 796, 147, 794 3770, 81, 233, 84, 797 3771, 307, 234, 797, 791 3772, 307, 81, 303, 797 3773, 357, 356, 146, 793 3774, 796, 354, 787, 794 3775, 356, 793, 790, 791 3776, 883, 796, 794, 798 3777, 793, 883, 800, 791 3778, 883, 361, 794, 795 3779, 785, 351, 795, 352 3780, 883, 799, 798, 794 3781, 799, 361, 798, 794 3782, 307, 637, 134, 791 3783, 793, 786, 883, 791 3784, 128, 798, 362, 638 3785, 295, 128, 362, 638 3786, 305, 796, 787, 883 3787, 234, 790, 797, 791 3788, 793, 790, 797, 792 3789, 303, 637, 797, 800 3790, 637, 786, 134, 791 3791, 357, 356, 793, 790 3792, 361, 799, 883, 794 3793, 883, 637, 636, 302 3794, 883, 795, 794, 787 3795, 799, 883, 636, 302 3796, 786, 351, 793, 795 3797, 883, 799, 795, 360 3798, 234, 81, 307, 797 3799, 790, 793, 797, 791 3800, 793, 883, 795, 360 3801, 800, 793, 797, 359 3802, 883, 793, 800, 360 3803, 799, 883, 800, 360 3804, 305, 883, 787, 785 3805, 233, 234, 79, 792 3806, 793, 792, 797, 359 3807, 305, 883, 306, 636 3808, 883, 305, 306, 785 3809, 798, 361, 147, 794 3810, 796, 883, 638, 798 3811, 796, 358, 354, 794 3812, 792, 797, 359, 79 3813, 786, 795, 785, 351 3814, 785, 795, 786, 883 3815, 794, 354, 145, 358 3816, 794, 145, 354, 787 3817, 643, 130, 755, 71 3818, 69, 755, 518, 240 3819, 782, 643, 132, 789 3820, 596, 119, 755, 308 3821, 643, 782, 132, 72 3822, 119, 596, 755, 283 3823, 596, 755, 518, 789 3824, 596, 85, 518, 240 3825, 782, 37, 789, 355 3826, 282, 596, 789, 308 3827, 283, 596, 755, 240 3828, 85, 596, 518, 26 3829, 119, 118, 130, 308 3830, 596, 25, 518, 26 3831, 755, 643, 518, 789 3832, 130, 643, 755, 308 3833, 69, 643, 755, 71 3834, 596, 283, 85, 240 3835, 118, 596, 282, 308 3836, 25, 18, 518, 26 3837, 119, 130, 755, 308 3838, 69, 14, 518, 13 3839, 782, 643, 13, 72 3840, 355, 782, 132, 789 3841, 596, 282, 789, 25 3842, 643, 308, 132, 789 3843, 37, 25, 518, 789 3844, 69, 643, 71, 72 3845, 37, 18, 518, 25 3846, 118, 596, 308, 119 3847, 69, 643, 13, 518 3848, 130, 118, 131, 308 3849, 643, 782, 13, 518 3850, 643, 69, 13, 72 3851, 643, 782, 518, 789 3852, 37, 782, 789, 518 3853, 643, 69, 755, 518 3854, 17, 18, 13, 782 3855, 755, 596, 518, 240 3856, 25, 596, 518, 789 3857, 13, 518, 18, 14 3858, 13, 18, 518, 782 3859, 18, 37, 782, 17 3860, 18, 782, 37, 518 3861, 789, 755, 308, 596 3862, 789, 308, 755, 643 *Elset, elset=poly1 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461 *Elset, elset=poly2 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636 *Elset, elset=poly3 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738 *Elset, elset=poly4 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796 *Elset, elset=poly5 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847 *Elset, elset=poly6 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904 *Elset, elset=poly7 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042 *Elset, elset=poly8 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142 *Elset, elset=poly9 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262 *Elset, elset=poly10 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395 *Elset, elset=poly11 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623 *Elset, elset=poly12 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698 *Elset, elset=poly13 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751 *Elset, elset=poly14 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840 *Elset, elset=poly15 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866 *Elset, elset=poly16 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933 *Elset, elset=poly17 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193 *Elset, elset=poly18 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324 *Elset, elset=poly19 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641 *Elset, elset=poly20 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964 *Elset, elset=poly21 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104 *Elset, elset=poly22 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164 *Elset, elset=poly23 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 3240, 3241, 3242 *Elset, elset=poly24 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272 *Elset, elset=poly25 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380, 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389, 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398 *Elset, elset=poly26 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507, 3508, 3509 *Elset, elset=poly27 3510, 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631 *Elset, elset=poly28 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713, 3714, 3715, 3716, 3717 *Elset, elset=poly29 3718, 3719, 3720, 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816 *Elset, elset=poly30 3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3858, 3859, 3860, 3861, 3862 *Nset, nset=x0 1, 2, 10, 15, 16, 27, 32, 33, 36, 75, 79, 80, 139, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 182, 183, 184, 185, 186, 187, 188, 223, 224, 225, 226, 319, 320, 321, 322, 351, 352, 353, 357, 358, 359, 360, 361, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 493, 494, 495, 496, 497, 667, 668, 669, 670, 775, 776, 777, 788, 792, 793, 794, 795 *Nset, nset=x1 38, 39, 41, 42, 104, 105, 106, 108, 109, 113, 114, 115, 120, 122, 135, 136, 138, 141, 142, 144, 199, 200, 201, 259, 260, 261, 262, 269, 270, 271, 272, 273, 274, 275, 285, 286, 310, 311, 312, 313, 314, 315, 330, 331, 332, 333, 334, 337, 338, 339, 340, 347, 348, 349, 457, 545, 546, 547, 548, 565, 566, 567, 568, 569, 570, 571, 572, 601, 602, 652, 653, 654, 655, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 729, 730, 731, 732, 733, 734, 735, 752, 753, 754, 764, 765, 766, 767, 768 *Nset, nset=y0 27, 30, 31, 32, 35, 75, 76, 77, 95, 96, 97, 100, 101, 135, 138, 139, 140, 141, 142, 143, 182, 183, 189, 190, 191, 192, 223, 227, 228, 229, 230, 247, 248, 249, 250, 251, 313, 316, 317, 319, 320, 323, 324, 325, 326, 327, 330, 331, 335, 336, 339, 340, 341, 342, 343, 346, 438, 439, 440, 441, 442, 498, 499, 500, 501, 502, 528, 529, 530, 531, 532, 533, 534, 535, 595, 656, 657, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 709, 710, 711, 712, 713, 714, 715, 716, 717, 736, 737, 738, 739, 740, 741, 742, 743, 758 *Nset, nset=y1 1, 2, 3, 4, 20, 21, 52, 55, 56, 105, 108, 110, 111, 113, 128, 129, 133, 144, 145, 147, 148, 149, 157, 158, 159, 160, 161, 162, 163, 211, 212, 262, 263, 264, 269, 270, 276, 277, 278, 294, 295, 296, 297, 298, 347, 350, 353, 354, 358, 362, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 476, 549, 550, 551, 552, 573, 574, 575, 576, 577, 578, 619, 620, 621, 622, 623, 757, 769, 770, 771, 778, 779, 780, 781, 796 *Nset, nset=z0 1, 10, 12, 21, 22, 113, 114, 117, 125, 139, 140, 141, 150, 151, 152, 161, 162, 163, 164, 165, 166, 167, 168, 169, 273, 274, 275, 276, 277, 279, 280, 291, 321, 322, 323, 324, 325, 328, 329, 332, 333, 334, 335, 336, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 607, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728 *Nset, nset=z1 38, 42, 45, 49, 50, 75, 77, 79, 83, 84, 128, 129, 142, 143, 144, 147, 200, 202, 203, 204, 205, 224, 225, 228, 229, 231, 232, 233, 296, 297, 299, 300, 301, 302, 303, 304, 337, 338, 341, 342, 344, 346, 348, 349, 350, 359, 360, 361, 362, 458, 459, 460, 461, 462, 503, 504, 505, 506, 507, 508, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 744, 745, 746, 759, 760, 761, 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0.000000000000 0.000000000000 0.000000000000 159 4 118 119 130 131 4 -204 -275 -242 277 0.474359249604 0.336627693501 -0.552542393120 0.762481934064 0 0 0.000000000000 0.000000000000 0.000000000000 160 4 78 118 131 82 4 208 -277 -247 136 0.414272411019 0.768369270228 -0.483174397323 0.419703664912 0 0 0.000000000000 0.000000000000 0.000000000000 161 5 105 144 38 39 106 5 278 279 -59 -274 -172 1.000000000000 1.000000000000 0.000000000000 0.000000000000 0 0 0.000000000000 0.000000000000 0.000000000000 162 4 144 105 111 129 4 -278 -180 -236 280 1.000000000000 0.000000000000 1.000000000000 0.000000000000 0 0 0.000000000000 0.000000000000 0.000000000000 163 4 38 144 129 49 4 -279 -280 -237 -64 1.000000000000 0.000000000000 0.000000000000 1.000000000000 0 0 0.000000000000 0.000000000000 0.000000000000 164 5 146 145 2 16 36 5 281 282 -5 -40 283 -0.000000000000 -1.000000000000 -0.000000000000 -0.000000000000 0 0 0.000000000000 0.000000000000 0.000000000000 165 5 3 2 145 133 56 5 -6 -282 284 -233 -83 1.000000000000 0.000000000000 1.000000000000 0.000000000000 0 0 0.000000000000 0.000000000000 0.000000000000 166 5 132 72 13 17 37 5 -244 -111 16 53 285 0.199637841696 -0.584358138773 0.803202526122 -0.115720645009 0 0 0.000000000000 0.000000000000 0.000000000000 167 5 146 134 132 37 36 5 286 -246 -285 -55 283 0.144580304188 -0.061840471394 0.866395482386 -0.495514504529 0 0 0.000000000000 0.000000000000 0.000000000000 168 4 145 146 134 133 4 -281 286 -240 -284 0.669649188703 -0.152191841647 -0.081874027278 0.984953951712 0 0 0.000000000000 0.000000000000 0.000000000000 169 4 36 33 80 146 4 -39 -126 287 -283 -0.000000000000 -1.000000000000 -0.000000000000 -0.000000000000 0 0 0.000000000000 0.000000000000 0.000000000000 170 5 118 25 37 132 131 5 205 -51 285 245 277 -0.084776451334 0.804956789103 0.097614371589 -0.585248666924 0 0 0.000000000000 0.000000000000 0.000000000000 171 4 80 146 134 81 4 287 286 241 -134 -0.894492448902 0.230806938858 -0.729963450152 -0.643336240560 0 0 0.000000000000 0.000000000000 0.000000000000 172 5 147 145 146 80 79 5 288 -281 -287 -125 289 -0.000000000000 -1.000000000000 -0.000000000000 -0.000000000000 0 0 0.000000000000 0.000000000000 0.000000000000 173 4 147 128 133 145 4 290 -234 -284 -288 1.000000000000 0.000000000000 1.000000000000 0.000000000000 0 0 0.000000000000 0.000000000000 0.000000000000 174 4 128 147 79 84 4 -290 -289 -132 -238 1.000000000000 0.000000000000 0.000000000000 1.000000000000 0 0 0.000000000000 0.000000000000 0.000000000000 **polyhedron 30 1 14 1 2 3 -4 -5 -6 -7 -8 -9 10 -11 12 -13 -14 2 11 15 16 17 18 -19 -20 21 22 -23 -24 13 3 9 25 26 27 -28 29 30 31 -32 -33 4 8 34 -35 -36 -37 -38 -39 40 8 5 10 -41 37 -42 43 -44 -45 -46 -47 -48 7 6 11 36 42 -49 -50 -51 -52 -53 54 55 -56 -10 7 9 57 58 59 60 61 -62 23 -63 -64 8 13 -65 66 67 52 -68 69 47 -70 20 -71 72 73 9 9 10 74 -67 -75 76 77 78 -22 -79 80 -81 10 13 82 83 -84 -85 45 -86 38 87 88 -89 -54 90 -91 11 10 92 93 94 95 48 96 97 -90 98 14 12 9 99 -100 75 -101 -102 -17 103 70 -61 13 9 104 105 44 106 86 107 -108 -96 -109 14 9 110 68 46 108 111 112 -97 113 5 15 8 -114 -115 -116 51 -27 84 117 118 16 11 -105 116 -43 50 -119 120 65 121 -87 -112 122 17 15 123 124 125 -118 56 126 -127 33 -128 -40 129 -130 -131 91 64 18 10 132 133 -134 -77 -121 -107 -135 136 -137 71 19 9 138 139 140 -21 -113 -73 -141 81 11 20 11 142 143 144 -111 137 109 -72 -80 -122 141 -98 21 9 145 146 147 -30 -148 -149 -150 -136 79 22 10 151 114 -120 -152 28 -106 134 -88 -153 150 23 13 115 119 152 -154 -76 53 -69 155 -103 -31 135 148 -129 24 6 156 41 35 85 -95 6 25 11 157 158 101 -155 149 32 62 -159 -78 -160 130 26 8 161 162 163 -29 -117 89 153 -126 27 10 164 165 -166 -167 39 -55 168 4 131 24 28 9 169 170 102 -60 167 19 -171 160 128 29 7 172 173 174 171 -125 -168 63 30 10 49 -170 100 -66 154 166 -18 159 127 -12 **domain *general cube *vertex 8 1 0.000000000000 0.000000000000 0.000000000000 x0y0z0 1 139 2 1.000000000000 0.000000000000 0.000000000000 x1y0z0 1 141 3 1.000000000000 1.000000000000 0.000000000000 x1y1z0 1 113 4 0.000000000000 1.000000000000 0.000000000000 x0y1z0 1 1 5 0.000000000000 0.000000000000 1.000000000000 x0y0z1 1 75 6 0.000000000000 1.000000000000 1.000000000000 x0y1z1 1 147 7 1.000000000000 1.000000000000 1.000000000000 x1y1z1 1 144 8 1.000000000000 0.000000000000 1.000000000000 x1y0z1 1 142 *edge 12 1 2 4 6 x0y1 3 1 282 288 2 2 6 5 x0z1 2 124 289 3 2 5 1 x0y0 3 37 123 258 4 2 1 4 x0z0 2 2 259 5 2 2 8 x1y0 3 251 263 267 6 2 8 7 x1z1 3 60 266 279 7 2 7 3 x1y1 3 176 192 278 8 2 3 2 x1z0 2 195 264 9 2 5 8 y0z1 3 128 269 276 10 2 2 1 y0z0 2 260 265 11 2 4 3 y1z0 2 10 196 12 2 7 6 y1z1 3 235 280 290 *face 6 1 4 4 6 5 1 4 1 2 3 4 plane 4 0.000000000000 1.000000000000 0.000000000000 0.000000000000 x0 7 1 15 57 138 164 169 172 2 4 2 8 7 3 4 5 6 7 8 plane 4 -1.000000000000 -1.000000000000 -0.000000000000 -0.000000000000 x1 9 25 82 92 104 132 142 145 151 161 3 4 1 5 8 2 4 3 9 5 10 plane 4 0.000000000000 0.000000000000 1.000000000000 0.000000000000 y0 9 16 58 74 99 133 139 143 146 157 4 4 4 3 7 6 4 11 7 12 1 plane 4 -1.000000000000 -0.000000000000 -1.000000000000 -0.000000000000 y1 9 2 34 83 93 123 156 162 165 173 5 4 1 2 3 4 4 10 8 11 4 plane 4 0.000000000000 0.000000000000 0.000000000000 1.000000000000 z0 5 3 94 110 140 144 6 4 5 6 7 8 4 2 12 6 9 plane 4 -1.000000000000 -0.000000000000 -0.000000000000 -1.000000000000 z1 7 26 59 124 147 158 163 174 ***end ================================================ FILE: Neper2Abaqus/Step-1 Neper/script ================================================ #creating 30 grains with euler angles $ neper -T -n 30 -morpho gg -ori random -oriformat plain -oridescriptor e -o gene_mult_3 # Visualize the tesselation $ neper -V gene_mult_3.tess -datacellcol id -print Image_1 #create abaqus input file with hexagonal elements and continuous grain boundaries $ neper -M gene_mult_3.tess -statelset vol -rcl 1 -elttype hex -order 1 -interface continuous -format inp -o abq_hex -format msh # Visualize the mesh $ neper -V abq_hex.msh -dataelsetcol id -print Image_3 #create abaqus input file with hexagonal elements and continuous grain boundaries $ neper -M gene_mult_3.tess -statelset vol -rcl 1 -elttype tet -order 1 -interface continuous -format inp -o abq_tet -format msh # Visualize the mesh $ neper -V abq_tet.msh -dataelsetcol id -print Image_2 ================================================ FILE: Neper2Abaqus/Step-2a Matlab/Neper2Abaqus.m ================================================ function Neper2Abaqus(filename,matID,noDepvar) %% Input % filename - name of the material parameter file % Set material ID: % - enter "0" to use Dream3D number output % - enter "1-10" material ID number if user defined! % Number of state variables % Number of outputs % noDepvar % The name of the excel file: % inputfile_info.xlsx % -------------------------- % Convert the Dream3D outputs to Abaqus input file % Designed for input structure of DBF_code - A UMAT subroutine for crystal % plasticity % Feb. 2nd, 2022 % written by % Eralp Demir % eralp.demir@eng.ox.ac.uk % -------------------------- % .msh file format % $Nodes % % % ... % $EndNodes % $Elements % % ... ... % ... % $EndElements % $NSets % % % % % % ... % % ... % $EndNSets % $PhysicalNames % % % ... % $EndPhysicalNames % $ElsetOrientations % % ori_des1> ... % ... % $EndElsetOrientations tic format shortg % Read ".msh" file fid = fopen([filename '.msh'],'r+'); % Read line by line tline = fgetl(fid); tlines = cell(0,1); while ischar(tline) tlines{end+1,1} = tline; tline = fgetl(fid); end fclose(fid); % Convert cell to string arrays slines=string(tlines); % % % Read .INP file % % gid = fopen([filename '.inp'],'r+'); % % % % % Read line by line % % ttline = fgetl(gid); % % ttlines = cell(0,1); % % while ischar(ttline) % % ttlines{end+1,1} = ttline; % % ttline = fgetl(gid); % % end % % % % fclose(gid); % % % % % % % Convert cell to string arrays % % sslines=string(ttlines); % % % % % % %%%%%%%%%%%% PROCESSING .INP FILE %%%%%%%%%%%%%%%%%%%%%%% % % % % % Find the number of elemnent from .INP file % % for i=1:size(sslines,1) % % % Find the first line that start with "*Elset" % % idx = strfind(sslines(i),'*Elset'); % % if idx == 1 % % nd=i; % % break % % end % % end % % % % % Go back two lines and convert to number % % aa = str2num(sslines(nd-2)); % % % % % The first element is the number of elements % % tot_els = aa(1); % % % % % % % Find the line number right before "*PART" from .INP file % % for i=1:size(sslines,1) % % % Find the first line that start with "*END PART" % % idx = strfind(sslines(i),'*End Part'); % % if idx == 1 % % nd=i; % % break % % end % % end % % % % nd = nd - 1; % % % % % The variable 'nd' will be used later when creating the "filename_.INP" file %%%%%%%%%%%% PROCESSING .MSH FILE %%%%%%%%%%%%%%%%%%%%%%% % Find the header line st =find(slines=='$Nodes'); % Find the cell that starts with the total node number tot_nodes = str2num(slines(st+1)); % Read node coordinates crds = zeros(tot_nodes,4); for i = st+2 : 1 : st+2+tot_nodes-1 dummy = str2num(slines(i)); % Node index ii = dummy(1); % Coordinates crds(ii,1:4) = dummy(1:4); end % Find the header line st =find(slines=='$EndElements'); % Assuming the same element type throughout the mesh!!! % Read the first line dummy = str2num(slines(st-1)); % Number of tags ntag = dummy(3); neltyp = dummy(2); % Element type (Neper documentation) % is an integer specifying the type of elements: 15 for a 0D element, % 1 for a 1st-order 1D element (2 nodes), 8 for a 2nd-order 1D element (3 nodes), % 2 for a 1st-order triangular element (3 nodes), % 3 for a 1st-order quadrangular element (4 nodes), % 9 for a 2nd-order triangular element (6 nodes), % 16 for a 2nd-order quadrangular element (8 nodes), % 10 for a 2nd-order quadrangular element (9 nodes), % 4 for a 1st-order tetrahedral element (4 nodes), % 5 for a 1st-order hexahedral element (8 nodes), % 11 for a 2nd-order tetrahedral element (10 nodes), % 17 for a 2nd-order hexahedral element (20 nodes), % 6 for a 1st-order prismatic element (6 nodes), % 18 for a 2nd-order prismatic element (15 nodes). % If 2D problem % PS: plane stress % PE: plane strain ch='PS'; % plane stress by default switch neltyp case 2 eltyp = ['C',ch,'3']; nnpel = 3; numpt = 1; case 3 eltyp = ['C',ch,'4']; nnpel = 4; numpt = 4; case 9 eltyp = ['C',ch,'6']; nnpel = 6; numpt = 3; case 16 eltyp = ['C',ch,'8']; nnpel = 8; numpt = 4; case 4 eltyp = 'C3D4'; nnpel = 4; numpt = 1; case 6 eltyp = 'C3D6'; nnpel = 6; numpt = 2; case 5 eltyp = 'C3D8'; nnpel = 8; numpt = 8; case 11 eltyp = 'C3D10'; nnpel = 10; numpt = 4; case 18 eltyp = 'C3D15'; nnpel = 15; numpt = 9; case 17 eltyp = 'C3D20'; nnpel = 20; numpt = 27; end % Total number of elements % Read from bottom line until the i=0; etyp = neltyp; while etyp == neltyp i = i + 1; dummy = str2num(slines(st-i)); if size(dummy,2)>1 etyp = dummy(2); % Reached the top of the line else break end end tot_els = i-1; % Read connectivity conn = zeros(tot_els,nnpel+1); % Grain ids grains = zeros(tot_els,1); % Phase ids phases = zeros(tot_els,1); % Material-ID materials = ones(tot_els,1)*matID; ii=tot_els; for i = st-1 : -1 : st-1-tot_els+1 dummy = str2num(slines(i)); % Connectivity conn(ii,1:nnpel+1) = [dummy(1), dummy(3+ntag+1 : 1 : 3+ntag+nnpel)]; grains(ii) = dummy(4); % Last tag is assumed to be the phase id % It is normally zero so set to some number phases(ii) = dummy(3+ntag) ; % Element index ii = ii -1; end % Read set names % Set name % Find the header line % Start from the bottom st =find(slines=='$EndPhysicalNames'); cc = char(slines(st-1)); [aa,~,~,nextindex] = sscanf(cc,'%d %d'); ee=char(aa(2)); dd = cc(nextindex:end); setname = dd(1:end-size(ee,2)); % Euler angles for each geain % Find the header line st =find(slines=='$ElsetOrientations'); tot_grains = sscanf(slines(st+1),'%d'); eulers = zeros(tot_grains,3); for i=st+2:1:tot_grains+st+1 dummy=str2num(slines(i)); eulers(dummy(1),1:3) = dummy(2:4); end % Euler angles for each element % Assign Euler angles to each element euler = zeros(tot_els,3); for i=1:1:tot_els % Grain ID grnid = grains(i); % Euler angle euler(i,1:3) = eulers(grnid,1:3); end [grain_order, grain_record]=unique(grains); grain_order=grain_order'; grain_record=grain_record'; phase_order=phases(grain_record); material_order = materials(grain_record); euler_angle1=euler(grain_record,1); euler_angle2=euler(grain_record,2); euler_angle3=euler(grain_record,3); % %%% Generate the rotation matrix % for ii=1:length(grain_order) % %% % %need to create the rotation matrix for each euler angle for each % %grain. This matrix is then used to rotate a global orientation to % %the what is is n the local orientation. % zrot=[cosd(euler_angle1(ii)), sind(euler_angle1(ii)), 0; -sind(euler_angle1(ii)), cosd(euler_angle1(ii)),0; 0,0,1]; % xrot=[1,0,0;0,cosd(euler_angle2(ii)),sind(euler_angle2(ii));0,-sind(euler_angle2(ii)),cosd(euler_angle2(ii))]; % zrot2=[cosd(euler_angle3(ii)),sind(euler_angle3(ii)),0;-sind(euler_angle3(ii)),cosd(euler_angle3(ii)),0;0,0,1]; % % %total rotation matrix - crystal to sample transformation % total_rot=transpose(zrot2*xrot*zrot); % % % % end % Write the overall element and node sets to input file % open inp file and write keywords inpFile = fopen([filename '.inp'],'wt'); fprintf(inpFile,'** Generated by Neper and modified by: Neper2Abaqus.m\n'); fprintf(inpFile,'**PARTS\n**\n'); fprintf(inpFile,'*Part, name=NEPER\n'); % write nodes fprintf(inpFile,'*NODE\n'); fprintf(inpFile,'%d,\t%e,\t%e, \t%e\n',crds'); % write elements fprintf(inpFile,['*Element, type=',eltyp,'\n']); str=[]; for i=1:1:nnpel str = [str, '%8d,']; end str = [str, '%8d\n']; fprintf(inpFile,str,conn'); %% Write the elements sets for each grain to the input file % create element sets containing grains for ii = 1:numel(unique(grains)) %% fprintf(inpFile,'\n*Elset, elset=GRAIN-%d\n',grain_order(ii)); fprintf(inpFile,'%d, %d, %d, %d, %d, %d, %d, %d, %d\n',conn(grains==grain_order(ii))'); numels=0; for tt=1:length(conn(grains==grain_order(ii))) %% numels=numels+1; end numels_total(grain_order(ii))=numels; end %% Write element set for each phase to input file uniPhases = unique(phases); for ii = 1:numel(unique(phases)) fprintf(inpFile,'\n*Elset, elset=Phase-%d\n',ii); fprintf(inpFile,'%d, %d, %d, %d, %d, %d, %d, %d, %d\n',conn(phases==uniPhases(ii))'); end % %% Calculate grain spherical equivalent diameter % % calulate diamater in microns % % additionally, the dimaters for each ground are written to a separate % % text file to be used to developed a grain size histogram % diameterID=fopen('diameter.txt','w'); % for ii=1:numel(unique(grains)) % %% % diameter(grain_order(ii))=((((6.0/pi)*(numels_total(grain_order(ii))))^(1/3))); % fprintf(diameterID, '%d\n', diameter(grain_order(ii))); % end % fclose(diameterID); %% write sections to each grain for ii=1:length(grain_order) %% fprintf(inpFile,'\n**Section: Section_Grain-%d\n*Solid Section, elset=GRAIN-%d, material=MATERIAL-GRAIN%d\n,\n',grain_order(ii),grain_order(ii),grain_order(ii)); end %% Continue writing the input file with assembly information % write a closing keyword fprintf(inpFile,'*End Part'); %writing assembly fprintf(inpFile,'\n**\n**ASSEMBLY\n**'); fprintf(inpFile,'\n*Assembly, name=Assembly\n**'); fprintf(inpFile,'\n*Instance, name=NEPER-1, part=NEPER\n'); % write nodes fprintf(inpFile,'*NODE\n'); fprintf(inpFile,'%d,\t%e,\t%e, \t%e\n',crds'); % write elements fprintf(inpFile,['*Element, type=', eltyp, '\n']); str=[]; for i=1:1:nnpel str = [str, '%8d,']; end str = [str, '%8d\n']; fprintf(inpFile,str,conn'); fprintf(inpFile,'\n*End Instance\n**'); %% Closing the assembly component of the input file fprintf(inpFile,'\n*End Assembly'); fprintf(inpFile, '\n**MATERIALS\n**'); %import material parameters to be used in the development of materials %for each grain. xlRange='A1:A6'; [A16]=readmatrix('PROPS.xlsx','Sheet','Material_parameters','DataRange',xlRange); %% Finalising the input file % Flag for reading the inputs from the file or material library % "0": material library in usermaterial.f will be used % "1": use the material parameters in excel file % Are the material properties given in the excel file? % Read from excel file (if read_all_props==true) if A16(6)==0 A = strings(6,1); % Flag for reading the inputs from the file or material library % "0": material library in usermaterial.f will be used % "1": use the material parameters in excel file A(6)=0; % Number variables in DEPVAR noPROPS = 6; % Do not define anything further else A = strings(300,1); % Flag for reading the inputs from the file or material library % "0": material library in usermaterial.f will be used % "1": use the material parameters in excel file A(6)=1; % Number variables in DEPVAR % Has a fixed size - including additional space for extra variables noPROPS = 300; end for ii=1:length(grain_order) fprintf(inpFile, '\n*Material, name=MATERIAL-GRAIN%d',grain_order(ii)); fprintf(inpFile, ['\n*Depvar\n', num2str(noDepvar), ',']); fprintf(inpFile, ['\n*User Material, constants=',num2str(noPROPS),'\n']); % Euler angles A(1:3) = [euler_angle1(ii), euler_angle2(ii), euler_angle3(ii)]; % Grain - ID A(4) = grain_order(ii); % Phase - ID % IF DEFINED BY THE USER (>0) if matID>0 A(5) = material_order(ii); % Use Dream3D output else A(5) = phase_order(ii); end % % Adding the centroid information in x,y,z coordinates % A(9:11)=centroid(grain_order(ii),:); % % center element % %adding the calculated equivalent spherical diameter for each grain % A(13)=diameter(grain_order(ii)); % Read the properties from the PROPS if desired if A16(6) ==1 % Loop through all different phases for iph = 1:numel(unique(phases)) % Column character (read next column for each phase) letter = char(iph+ 64); xlRange = [letter,'1:', letter, '300']; % A1-A300 %[B]=xlsread('inputfile_info.xlsx','Material_parameters',xlRange); [B]=readmatrix('PROPS.xlsx','Sheet','Material_parameters','DataRange',xlRange); A(7:300) = B(7:300); end end % Printing this information to file fprintf(inpFile, '%s, %s, %s, %s, %s, %s, %s, %s\n',A); end fprintf(inpFile,'\n**'); fprintf(inpFile, '\n**\n** STEP: Loading\n**\n*Step, name=Loading, nlgeom=YES, inc=10000\n*Static\n0.01, 10., 1e-05, 1.'); fprintf(inpFile, '\n**\n** OUTPUT REQUESTS\n**'); fprintf(inpFile, '\n*Restart, write, frequency=0\n**'); fprintf(inpFile, '\n** FIELD OUTPUT: F-Output-1\n**\n*Output, field, variable=PRESELECT\n**'); if noDepvar>0 fprintf(inpFile, '\n** FIELD OUTPUT: F-Output-2\n**\n*Element Output, directions=YES\nSDV,\n**'); end fprintf(inpFile, '\n** HISTORY OUTPUT: H-Output-1\n**\n*Output, history, variable=PRESELECT\n**'); fprintf(inpFile, '\n*End Step'); % close the file fclose(inpFile); toc return end ================================================ FILE: Neper2Abaqus/Step-2a Matlab/abq_hex.inp ================================================ ** Generated by Neper and modified by: Neper2Abaqus.m **PARTS ** *Part, name=NEPER *NODE 1, 0.000000e+00, 0.000000e+00, 0.000000e+00 2, 7.142857e-02, 0.000000e+00, 0.000000e+00 3, 1.428571e-01, 0.000000e+00, 0.000000e+00 4, 2.142857e-01, 0.000000e+00, 0.000000e+00 5, 2.857143e-01, 0.000000e+00, 0.000000e+00 6, 3.571429e-01, 0.000000e+00, 0.000000e+00 7, 4.285714e-01, 0.000000e+00, 0.000000e+00 8, 5.000000e-01, 0.000000e+00, 0.000000e+00 9, 5.714286e-01, 0.000000e+00, 0.000000e+00 10, 6.428571e-01, 0.000000e+00, 0.000000e+00 11, 7.142857e-01, 0.000000e+00, 0.000000e+00 12, 7.857143e-01, 0.000000e+00, 0.000000e+00 13, 8.571429e-01, 0.000000e+00, 0.000000e+00 14, 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5.714286e-01 1862, 7.142857e-02, 2.857143e-01, 5.714286e-01 1863, 1.428571e-01, 2.857143e-01, 5.714286e-01 1864, 2.142857e-01, 2.857143e-01, 5.714286e-01 1865, 2.857143e-01, 2.857143e-01, 5.714286e-01 1866, 3.571429e-01, 2.857143e-01, 5.714286e-01 1867, 4.285714e-01, 2.857143e-01, 5.714286e-01 1868, 5.000000e-01, 2.857143e-01, 5.714286e-01 1869, 5.714286e-01, 2.857143e-01, 5.714286e-01 1870, 6.428571e-01, 2.857143e-01, 5.714286e-01 1871, 7.142857e-01, 2.857143e-01, 5.714286e-01 1872, 7.857143e-01, 2.857143e-01, 5.714286e-01 1873, 8.571429e-01, 2.857143e-01, 5.714286e-01 1874, 9.285714e-01, 2.857143e-01, 5.714286e-01 1875, 1.000000e+00, 2.857143e-01, 5.714286e-01 1876, 0.000000e+00, 3.571429e-01, 5.714286e-01 1877, 7.142857e-02, 3.571429e-01, 5.714286e-01 1878, 1.428571e-01, 3.571429e-01, 5.714286e-01 1879, 2.142857e-01, 3.571429e-01, 5.714286e-01 1880, 2.857143e-01, 3.571429e-01, 5.714286e-01 1881, 3.571429e-01, 3.571429e-01, 5.714286e-01 1882, 4.285714e-01, 3.571429e-01, 5.714286e-01 1883, 5.000000e-01, 3.571429e-01, 5.714286e-01 1884, 5.714286e-01, 3.571429e-01, 5.714286e-01 1885, 6.428571e-01, 3.571429e-01, 5.714286e-01 1886, 7.142857e-01, 3.571429e-01, 5.714286e-01 1887, 7.857143e-01, 3.571429e-01, 5.714286e-01 1888, 8.571429e-01, 3.571429e-01, 5.714286e-01 1889, 9.285714e-01, 3.571429e-01, 5.714286e-01 1890, 1.000000e+00, 3.571429e-01, 5.714286e-01 1891, 0.000000e+00, 4.285714e-01, 5.714286e-01 1892, 7.142857e-02, 4.285714e-01, 5.714286e-01 1893, 1.428571e-01, 4.285714e-01, 5.714286e-01 1894, 2.142857e-01, 4.285714e-01, 5.714286e-01 1895, 2.857143e-01, 4.285714e-01, 5.714286e-01 1896, 3.571429e-01, 4.285714e-01, 5.714286e-01 1897, 4.285714e-01, 4.285714e-01, 5.714286e-01 1898, 5.000000e-01, 4.285714e-01, 5.714286e-01 1899, 5.714286e-01, 4.285714e-01, 5.714286e-01 1900, 6.428571e-01, 4.285714e-01, 5.714286e-01 1901, 7.142857e-01, 4.285714e-01, 5.714286e-01 1902, 7.857143e-01, 4.285714e-01, 5.714286e-01 1903, 8.571429e-01, 4.285714e-01, 5.714286e-01 1904, 9.285714e-01, 4.285714e-01, 5.714286e-01 1905, 1.000000e+00, 4.285714e-01, 5.714286e-01 1906, 0.000000e+00, 5.000000e-01, 5.714286e-01 1907, 7.142857e-02, 5.000000e-01, 5.714286e-01 1908, 1.428571e-01, 5.000000e-01, 5.714286e-01 1909, 2.142857e-01, 5.000000e-01, 5.714286e-01 1910, 2.857143e-01, 5.000000e-01, 5.714286e-01 1911, 3.571429e-01, 5.000000e-01, 5.714286e-01 1912, 4.285714e-01, 5.000000e-01, 5.714286e-01 1913, 5.000000e-01, 5.000000e-01, 5.714286e-01 1914, 5.714286e-01, 5.000000e-01, 5.714286e-01 1915, 6.428571e-01, 5.000000e-01, 5.714286e-01 1916, 7.142857e-01, 5.000000e-01, 5.714286e-01 1917, 7.857143e-01, 5.000000e-01, 5.714286e-01 1918, 8.571429e-01, 5.000000e-01, 5.714286e-01 1919, 9.285714e-01, 5.000000e-01, 5.714286e-01 1920, 1.000000e+00, 5.000000e-01, 5.714286e-01 1921, 0.000000e+00, 5.714286e-01, 5.714286e-01 1922, 7.142857e-02, 5.714286e-01, 5.714286e-01 1923, 1.428571e-01, 5.714286e-01, 5.714286e-01 1924, 2.142857e-01, 5.714286e-01, 5.714286e-01 1925, 2.857143e-01, 5.714286e-01, 5.714286e-01 1926, 3.571429e-01, 5.714286e-01, 5.714286e-01 1927, 4.285714e-01, 5.714286e-01, 5.714286e-01 1928, 5.000000e-01, 5.714286e-01, 5.714286e-01 1929, 5.714286e-01, 5.714286e-01, 5.714286e-01 1930, 6.428571e-01, 5.714286e-01, 5.714286e-01 1931, 7.142857e-01, 5.714286e-01, 5.714286e-01 1932, 7.857143e-01, 5.714286e-01, 5.714286e-01 1933, 8.571429e-01, 5.714286e-01, 5.714286e-01 1934, 9.285714e-01, 5.714286e-01, 5.714286e-01 1935, 1.000000e+00, 5.714286e-01, 5.714286e-01 1936, 0.000000e+00, 6.428571e-01, 5.714286e-01 1937, 7.142857e-02, 6.428571e-01, 5.714286e-01 1938, 1.428571e-01, 6.428571e-01, 5.714286e-01 1939, 2.142857e-01, 6.428571e-01, 5.714286e-01 1940, 2.857143e-01, 6.428571e-01, 5.714286e-01 1941, 3.571429e-01, 6.428571e-01, 5.714286e-01 1942, 4.285714e-01, 6.428571e-01, 5.714286e-01 1943, 5.000000e-01, 6.428571e-01, 5.714286e-01 1944, 5.714286e-01, 6.428571e-01, 5.714286e-01 1945, 6.428571e-01, 6.428571e-01, 5.714286e-01 1946, 7.142857e-01, 6.428571e-01, 5.714286e-01 1947, 7.857143e-01, 6.428571e-01, 5.714286e-01 1948, 8.571429e-01, 6.428571e-01, 5.714286e-01 1949, 9.285714e-01, 6.428571e-01, 5.714286e-01 1950, 1.000000e+00, 6.428571e-01, 5.714286e-01 1951, 0.000000e+00, 7.142857e-01, 5.714286e-01 1952, 7.142857e-02, 7.142857e-01, 5.714286e-01 1953, 1.428571e-01, 7.142857e-01, 5.714286e-01 1954, 2.142857e-01, 7.142857e-01, 5.714286e-01 1955, 2.857143e-01, 7.142857e-01, 5.714286e-01 1956, 3.571429e-01, 7.142857e-01, 5.714286e-01 1957, 4.285714e-01, 7.142857e-01, 5.714286e-01 1958, 5.000000e-01, 7.142857e-01, 5.714286e-01 1959, 5.714286e-01, 7.142857e-01, 5.714286e-01 1960, 6.428571e-01, 7.142857e-01, 5.714286e-01 1961, 7.142857e-01, 7.142857e-01, 5.714286e-01 1962, 7.857143e-01, 7.142857e-01, 5.714286e-01 1963, 8.571429e-01, 7.142857e-01, 5.714286e-01 1964, 9.285714e-01, 7.142857e-01, 5.714286e-01 1965, 1.000000e+00, 7.142857e-01, 5.714286e-01 1966, 0.000000e+00, 7.857143e-01, 5.714286e-01 1967, 7.142857e-02, 7.857143e-01, 5.714286e-01 1968, 1.428571e-01, 7.857143e-01, 5.714286e-01 1969, 2.142857e-01, 7.857143e-01, 5.714286e-01 1970, 2.857143e-01, 7.857143e-01, 5.714286e-01 1971, 3.571429e-01, 7.857143e-01, 5.714286e-01 1972, 4.285714e-01, 7.857143e-01, 5.714286e-01 1973, 5.000000e-01, 7.857143e-01, 5.714286e-01 1974, 5.714286e-01, 7.857143e-01, 5.714286e-01 1975, 6.428571e-01, 7.857143e-01, 5.714286e-01 1976, 7.142857e-01, 7.857143e-01, 5.714286e-01 1977, 7.857143e-01, 7.857143e-01, 5.714286e-01 1978, 8.571429e-01, 7.857143e-01, 5.714286e-01 1979, 9.285714e-01, 7.857143e-01, 5.714286e-01 1980, 1.000000e+00, 7.857143e-01, 5.714286e-01 1981, 0.000000e+00, 8.571429e-01, 5.714286e-01 1982, 7.142857e-02, 8.571429e-01, 5.714286e-01 1983, 1.428571e-01, 8.571429e-01, 5.714286e-01 1984, 2.142857e-01, 8.571429e-01, 5.714286e-01 1985, 2.857143e-01, 8.571429e-01, 5.714286e-01 1986, 3.571429e-01, 8.571429e-01, 5.714286e-01 1987, 4.285714e-01, 8.571429e-01, 5.714286e-01 1988, 5.000000e-01, 8.571429e-01, 5.714286e-01 1989, 5.714286e-01, 8.571429e-01, 5.714286e-01 1990, 6.428571e-01, 8.571429e-01, 5.714286e-01 1991, 7.142857e-01, 8.571429e-01, 5.714286e-01 1992, 7.857143e-01, 8.571429e-01, 5.714286e-01 1993, 8.571429e-01, 8.571429e-01, 5.714286e-01 1994, 9.285714e-01, 8.571429e-01, 5.714286e-01 1995, 1.000000e+00, 8.571429e-01, 5.714286e-01 1996, 0.000000e+00, 9.285714e-01, 5.714286e-01 1997, 7.142857e-02, 9.285714e-01, 5.714286e-01 1998, 1.428571e-01, 9.285714e-01, 5.714286e-01 1999, 2.142857e-01, 9.285714e-01, 5.714286e-01 2000, 2.857143e-01, 9.285714e-01, 5.714286e-01 2001, 3.571429e-01, 9.285714e-01, 5.714286e-01 2002, 4.285714e-01, 9.285714e-01, 5.714286e-01 2003, 5.000000e-01, 9.285714e-01, 5.714286e-01 2004, 5.714286e-01, 9.285714e-01, 5.714286e-01 2005, 6.428571e-01, 9.285714e-01, 5.714286e-01 2006, 7.142857e-01, 9.285714e-01, 5.714286e-01 2007, 7.857143e-01, 9.285714e-01, 5.714286e-01 2008, 8.571429e-01, 9.285714e-01, 5.714286e-01 2009, 9.285714e-01, 9.285714e-01, 5.714286e-01 2010, 1.000000e+00, 9.285714e-01, 5.714286e-01 2011, 0.000000e+00, 1.000000e+00, 5.714286e-01 2012, 7.142857e-02, 1.000000e+00, 5.714286e-01 2013, 1.428571e-01, 1.000000e+00, 5.714286e-01 2014, 2.142857e-01, 1.000000e+00, 5.714286e-01 2015, 2.857143e-01, 1.000000e+00, 5.714286e-01 2016, 3.571429e-01, 1.000000e+00, 5.714286e-01 2017, 4.285714e-01, 1.000000e+00, 5.714286e-01 2018, 5.000000e-01, 1.000000e+00, 5.714286e-01 2019, 5.714286e-01, 1.000000e+00, 5.714286e-01 2020, 6.428571e-01, 1.000000e+00, 5.714286e-01 2021, 7.142857e-01, 1.000000e+00, 5.714286e-01 2022, 7.857143e-01, 1.000000e+00, 5.714286e-01 2023, 8.571429e-01, 1.000000e+00, 5.714286e-01 2024, 9.285714e-01, 1.000000e+00, 5.714286e-01 2025, 1.000000e+00, 1.000000e+00, 5.714286e-01 2026, 0.000000e+00, 0.000000e+00, 6.428571e-01 2027, 7.142857e-02, 0.000000e+00, 6.428571e-01 2028, 1.428571e-01, 0.000000e+00, 6.428571e-01 2029, 2.142857e-01, 0.000000e+00, 6.428571e-01 2030, 2.857143e-01, 0.000000e+00, 6.428571e-01 2031, 3.571429e-01, 0.000000e+00, 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1.000000e+00, 1.000000e+00 3371, 7.142857e-01, 1.000000e+00, 1.000000e+00 3372, 7.857143e-01, 1.000000e+00, 1.000000e+00 3373, 8.571429e-01, 1.000000e+00, 1.000000e+00 3374, 9.285714e-01, 1.000000e+00, 1.000000e+00 3375, 1.000000e+00, 1.000000e+00, 1.000000e+00 *Element, type=C3D8 1, 1, 2, 17, 16, 226, 227, 242, 241 2, 2, 3, 18, 17, 227, 228, 243, 242 3, 3, 4, 19, 18, 228, 229, 244, 243 4, 4, 5, 20, 19, 229, 230, 245, 244 5, 5, 6, 21, 20, 230, 231, 246, 245 6, 6, 7, 22, 21, 231, 232, 247, 246 7, 7, 8, 23, 22, 232, 233, 248, 247 8, 8, 9, 24, 23, 233, 234, 249, 248 9, 9, 10, 25, 24, 234, 235, 250, 249 10, 10, 11, 26, 25, 235, 236, 251, 250 11, 11, 12, 27, 26, 236, 237, 252, 251 12, 12, 13, 28, 27, 237, 238, 253, 252 13, 13, 14, 29, 28, 238, 239, 254, 253 14, 14, 15, 30, 29, 239, 240, 255, 254 15, 16, 17, 32, 31, 241, 242, 257, 256 16, 17, 18, 33, 32, 242, 243, 258, 257 17, 18, 19, 34, 33, 243, 244, 259, 258 18, 19, 20, 35, 34, 244, 245, 260, 259 19, 20, 21, 36, 35, 245, 246, 261, 260 20, 21, 22, 37, 36, 246, 247, 262, 261 21, 22, 23, 38, 37, 247, 248, 263, 262 22, 23, 24, 39, 38, 248, 249, 264, 263 23, 24, 25, 40, 39, 249, 250, 265, 264 24, 25, 26, 41, 40, 250, 251, 266, 265 25, 26, 27, 42, 41, 251, 252, 267, 266 26, 27, 28, 43, 42, 252, 253, 268, 267 27, 28, 29, 44, 43, 253, 254, 269, 268 28, 29, 30, 45, 44, 254, 255, 270, 269 29, 31, 32, 47, 46, 256, 257, 272, 271 30, 32, 33, 48, 47, 257, 258, 273, 272 31, 33, 34, 49, 48, 258, 259, 274, 273 32, 34, 35, 50, 49, 259, 260, 275, 274 33, 35, 36, 51, 50, 260, 261, 276, 275 34, 36, 37, 52, 51, 261, 262, 277, 276 35, 37, 38, 53, 52, 262, 263, 278, 277 36, 38, 39, 54, 53, 263, 264, 279, 278 37, 39, 40, 55, 54, 264, 265, 280, 279 38, 40, 41, 56, 55, 265, 266, 281, 280 39, 41, 42, 57, 56, 266, 267, 282, 281 40, 42, 43, 58, 57, 267, 268, 283, 282 41, 43, 44, 59, 58, 268, 269, 284, 283 42, 44, 45, 60, 59, 269, 270, 285, 284 43, 46, 47, 62, 61, 271, 272, 287, 286 44, 47, 48, 63, 62, 272, 273, 288, 287 45, 48, 49, 64, 63, 273, 274, 289, 288 46, 49, 50, 65, 64, 274, 275, 290, 289 47, 50, 51, 66, 65, 275, 276, 291, 290 48, 51, 52, 67, 66, 276, 277, 292, 291 49, 52, 53, 68, 67, 277, 278, 293, 292 50, 53, 54, 69, 68, 278, 279, 294, 293 51, 54, 55, 70, 69, 279, 280, 295, 294 52, 55, 56, 71, 70, 280, 281, 296, 295 53, 56, 57, 72, 71, 281, 282, 297, 296 54, 57, 58, 73, 72, 282, 283, 298, 297 55, 58, 59, 74, 73, 283, 284, 299, 298 56, 59, 60, 75, 74, 284, 285, 300, 299 57, 61, 62, 77, 76, 286, 287, 302, 301 58, 62, 63, 78, 77, 287, 288, 303, 302 59, 63, 64, 79, 78, 288, 289, 304, 303 60, 64, 65, 80, 79, 289, 290, 305, 304 61, 65, 66, 81, 80, 290, 291, 306, 305 62, 66, 67, 82, 81, 291, 292, 307, 306 63, 67, 68, 83, 82, 292, 293, 308, 307 64, 68, 69, 84, 83, 293, 294, 309, 308 65, 69, 70, 85, 84, 294, 295, 310, 309 66, 70, 71, 86, 85, 295, 296, 311, 310 67, 71, 72, 87, 86, 296, 297, 312, 311 68, 72, 73, 88, 87, 297, 298, 313, 312 69, 73, 74, 89, 88, 298, 299, 314, 313 70, 74, 75, 90, 89, 299, 300, 315, 314 71, 76, 77, 92, 91, 301, 302, 317, 316 72, 77, 78, 93, 92, 302, 303, 318, 317 73, 78, 79, 94, 93, 303, 304, 319, 318 74, 79, 80, 95, 94, 304, 305, 320, 319 75, 80, 81, 96, 95, 305, 306, 321, 320 76, 81, 82, 97, 96, 306, 307, 322, 321 77, 82, 83, 98, 97, 307, 308, 323, 322 78, 83, 84, 99, 98, 308, 309, 324, 323 79, 84, 85, 100, 99, 309, 310, 325, 324 80, 85, 86, 101, 100, 310, 311, 326, 325 81, 86, 87, 102, 101, 311, 312, 327, 326 82, 87, 88, 103, 102, 312, 313, 328, 327 83, 88, 89, 104, 103, 313, 314, 329, 328 84, 89, 90, 105, 104, 314, 315, 330, 329 85, 91, 92, 107, 106, 316, 317, 332, 331 86, 92, 93, 108, 107, 317, 318, 333, 332 87, 93, 94, 109, 108, 318, 319, 334, 333 88, 94, 95, 110, 109, 319, 320, 335, 334 89, 95, 96, 111, 110, 320, 321, 336, 335 90, 96, 97, 112, 111, 321, 322, 337, 336 91, 97, 98, 113, 112, 322, 323, 338, 337 92, 98, 99, 114, 113, 323, 324, 339, 338 93, 99, 100, 115, 114, 324, 325, 340, 339 94, 100, 101, 116, 115, 325, 326, 341, 340 95, 101, 102, 117, 116, 326, 327, 342, 341 96, 102, 103, 118, 117, 327, 328, 343, 342 97, 103, 104, 119, 118, 328, 329, 344, 343 98, 104, 105, 120, 119, 329, 330, 345, 344 99, 106, 107, 122, 121, 331, 332, 347, 346 100, 107, 108, 123, 122, 332, 333, 348, 347 101, 108, 109, 124, 123, 333, 334, 349, 348 102, 109, 110, 125, 124, 334, 335, 350, 349 103, 110, 111, 126, 125, 335, 336, 351, 350 104, 111, 112, 127, 126, 336, 337, 352, 351 105, 112, 113, 128, 127, 337, 338, 353, 352 106, 113, 114, 129, 128, 338, 339, 354, 353 107, 114, 115, 130, 129, 339, 340, 355, 354 108, 115, 116, 131, 130, 340, 341, 356, 355 109, 116, 117, 132, 131, 341, 342, 357, 356 110, 117, 118, 133, 132, 342, 343, 358, 357 111, 118, 119, 134, 133, 343, 344, 359, 358 112, 119, 120, 135, 134, 344, 345, 360, 359 113, 121, 122, 137, 136, 346, 347, 362, 361 114, 122, 123, 138, 137, 347, 348, 363, 362 115, 123, 124, 139, 138, 348, 349, 364, 363 116, 124, 125, 140, 139, 349, 350, 365, 364 117, 125, 126, 141, 140, 350, 351, 366, 365 118, 126, 127, 142, 141, 351, 352, 367, 366 119, 127, 128, 143, 142, 352, 353, 368, 367 120, 128, 129, 144, 143, 353, 354, 369, 368 121, 129, 130, 145, 144, 354, 355, 370, 369 122, 130, 131, 146, 145, 355, 356, 371, 370 123, 131, 132, 147, 146, 356, 357, 372, 371 124, 132, 133, 148, 147, 357, 358, 373, 372 125, 133, 134, 149, 148, 358, 359, 374, 373 126, 134, 135, 150, 149, 359, 360, 375, 374 127, 136, 137, 152, 151, 361, 362, 377, 376 128, 137, 138, 153, 152, 362, 363, 378, 377 129, 138, 139, 154, 153, 363, 364, 379, 378 130, 139, 140, 155, 154, 364, 365, 380, 379 131, 140, 141, 156, 155, 365, 366, 381, 380 132, 141, 142, 157, 156, 366, 367, 382, 381 133, 142, 143, 158, 157, 367, 368, 383, 382 134, 143, 144, 159, 158, 368, 369, 384, 383 135, 144, 145, 160, 159, 369, 370, 385, 384 136, 145, 146, 161, 160, 370, 371, 386, 385 137, 146, 147, 162, 161, 371, 372, 387, 386 138, 147, 148, 163, 162, 372, 373, 388, 387 139, 148, 149, 164, 163, 373, 374, 389, 388 140, 149, 150, 165, 164, 374, 375, 390, 389 141, 151, 152, 167, 166, 376, 377, 392, 391 142, 152, 153, 168, 167, 377, 378, 393, 392 143, 153, 154, 169, 168, 378, 379, 394, 393 144, 154, 155, 170, 169, 379, 380, 395, 394 145, 155, 156, 171, 170, 380, 381, 396, 395 146, 156, 157, 172, 171, 381, 382, 397, 396 147, 157, 158, 173, 172, 382, 383, 398, 397 148, 158, 159, 174, 173, 383, 384, 399, 398 149, 159, 160, 175, 174, 384, 385, 400, 399 150, 160, 161, 176, 175, 385, 386, 401, 400 151, 161, 162, 177, 176, 386, 387, 402, 401 152, 162, 163, 178, 177, 387, 388, 403, 402 153, 163, 164, 179, 178, 388, 389, 404, 403 154, 164, 165, 180, 179, 389, 390, 405, 404 155, 166, 167, 182, 181, 391, 392, 407, 406 156, 167, 168, 183, 182, 392, 393, 408, 407 157, 168, 169, 184, 183, 393, 394, 409, 408 158, 169, 170, 185, 184, 394, 395, 410, 409 159, 170, 171, 186, 185, 395, 396, 411, 410 160, 171, 172, 187, 186, 396, 397, 412, 411 161, 172, 173, 188, 187, 397, 398, 413, 412 162, 173, 174, 189, 188, 398, 399, 414, 413 163, 174, 175, 190, 189, 399, 400, 415, 414 164, 175, 176, 191, 190, 400, 401, 416, 415 165, 176, 177, 192, 191, 401, 402, 417, 416 166, 177, 178, 193, 192, 402, 403, 418, 417 167, 178, 179, 194, 193, 403, 404, 419, 418 168, 179, 180, 195, 194, 404, 405, 420, 419 169, 181, 182, 197, 196, 406, 407, 422, 421 170, 182, 183, 198, 197, 407, 408, 423, 422 171, 183, 184, 199, 198, 408, 409, 424, 423 172, 184, 185, 200, 199, 409, 410, 425, 424 173, 185, 186, 201, 200, 410, 411, 426, 425 174, 186, 187, 202, 201, 411, 412, 427, 426 175, 187, 188, 203, 202, 412, 413, 428, 427 176, 188, 189, 204, 203, 413, 414, 429, 428 177, 189, 190, 205, 204, 414, 415, 430, 429 178, 190, 191, 206, 205, 415, 416, 431, 430 179, 191, 192, 207, 206, 416, 417, 432, 431 180, 192, 193, 208, 207, 417, 418, 433, 432 181, 193, 194, 209, 208, 418, 419, 434, 433 182, 194, 195, 210, 209, 419, 420, 435, 434 183, 196, 197, 212, 211, 421, 422, 437, 436 184, 197, 198, 213, 212, 422, 423, 438, 437 185, 198, 199, 214, 213, 423, 424, 439, 438 186, 199, 200, 215, 214, 424, 425, 440, 439 187, 200, 201, 216, 215, 425, 426, 441, 440 188, 201, 202, 217, 216, 426, 427, 442, 441 189, 202, 203, 218, 217, 427, 428, 443, 442 190, 203, 204, 219, 218, 428, 429, 444, 443 191, 204, 205, 220, 219, 429, 430, 445, 444 192, 205, 206, 221, 220, 430, 431, 446, 445 193, 206, 207, 222, 221, 431, 432, 447, 446 194, 207, 208, 223, 222, 432, 433, 448, 447 195, 208, 209, 224, 223, 433, 434, 449, 448 196, 209, 210, 225, 224, 434, 435, 450, 449 197, 226, 227, 242, 241, 451, 452, 467, 466 198, 227, 228, 243, 242, 452, 453, 468, 467 199, 228, 229, 244, 243, 453, 454, 469, 468 200, 229, 230, 245, 244, 454, 455, 470, 469 201, 230, 231, 246, 245, 455, 456, 471, 470 202, 231, 232, 247, 246, 456, 457, 472, 471 203, 232, 233, 248, 247, 457, 458, 473, 472 204, 233, 234, 249, 248, 458, 459, 474, 473 205, 234, 235, 250, 249, 459, 460, 475, 474 206, 235, 236, 251, 250, 460, 461, 476, 475 207, 236, 237, 252, 251, 461, 462, 477, 476 208, 237, 238, 253, 252, 462, 463, 478, 477 209, 238, 239, 254, 253, 463, 464, 479, 478 210, 239, 240, 255, 254, 464, 465, 480, 479 211, 241, 242, 257, 256, 466, 467, 482, 481 212, 242, 243, 258, 257, 467, 468, 483, 482 213, 243, 244, 259, 258, 468, 469, 484, 483 214, 244, 245, 260, 259, 469, 470, 485, 484 215, 245, 246, 261, 260, 470, 471, 486, 485 216, 246, 247, 262, 261, 471, 472, 487, 486 217, 247, 248, 263, 262, 472, 473, 488, 487 218, 248, 249, 264, 263, 473, 474, 489, 488 219, 249, 250, 265, 264, 474, 475, 490, 489 220, 250, 251, 266, 265, 475, 476, 491, 490 221, 251, 252, 267, 266, 476, 477, 492, 491 222, 252, 253, 268, 267, 477, 478, 493, 492 223, 253, 254, 269, 268, 478, 479, 494, 493 224, 254, 255, 270, 269, 479, 480, 495, 494 225, 256, 257, 272, 271, 481, 482, 497, 496 226, 257, 258, 273, 272, 482, 483, 498, 497 227, 258, 259, 274, 273, 483, 484, 499, 498 228, 259, 260, 275, 274, 484, 485, 500, 499 229, 260, 261, 276, 275, 485, 486, 501, 500 230, 261, 262, 277, 276, 486, 487, 502, 501 231, 262, 263, 278, 277, 487, 488, 503, 502 232, 263, 264, 279, 278, 488, 489, 504, 503 233, 264, 265, 280, 279, 489, 490, 505, 504 234, 265, 266, 281, 280, 490, 491, 506, 505 235, 266, 267, 282, 281, 491, 492, 507, 506 236, 267, 268, 283, 282, 492, 493, 508, 507 237, 268, 269, 284, 283, 493, 494, 509, 508 238, 269, 270, 285, 284, 494, 495, 510, 509 239, 271, 272, 287, 286, 496, 497, 512, 511 240, 272, 273, 288, 287, 497, 498, 513, 512 241, 273, 274, 289, 288, 498, 499, 514, 513 242, 274, 275, 290, 289, 499, 500, 515, 514 243, 275, 276, 291, 290, 500, 501, 516, 515 244, 276, 277, 292, 291, 501, 502, 517, 516 245, 277, 278, 293, 292, 502, 503, 518, 517 246, 278, 279, 294, 293, 503, 504, 519, 518 247, 279, 280, 295, 294, 504, 505, 520, 519 248, 280, 281, 296, 295, 505, 506, 521, 520 249, 281, 282, 297, 296, 506, 507, 522, 521 250, 282, 283, 298, 297, 507, 508, 523, 522 251, 283, 284, 299, 298, 508, 509, 524, 523 252, 284, 285, 300, 299, 509, 510, 525, 524 253, 286, 287, 302, 301, 511, 512, 527, 526 254, 287, 288, 303, 302, 512, 513, 528, 527 255, 288, 289, 304, 303, 513, 514, 529, 528 256, 289, 290, 305, 304, 514, 515, 530, 529 257, 290, 291, 306, 305, 515, 516, 531, 530 258, 291, 292, 307, 306, 516, 517, 532, 531 259, 292, 293, 308, 307, 517, 518, 533, 532 260, 293, 294, 309, 308, 518, 519, 534, 533 261, 294, 295, 310, 309, 519, 520, 535, 534 262, 295, 296, 311, 310, 520, 521, 536, 535 263, 296, 297, 312, 311, 521, 522, 537, 536 264, 297, 298, 313, 312, 522, 523, 538, 537 265, 298, 299, 314, 313, 523, 524, 539, 538 266, 299, 300, 315, 314, 524, 525, 540, 539 267, 301, 302, 317, 316, 526, 527, 542, 541 268, 302, 303, 318, 317, 527, 528, 543, 542 269, 303, 304, 319, 318, 528, 529, 544, 543 270, 304, 305, 320, 319, 529, 530, 545, 544 271, 305, 306, 321, 320, 530, 531, 546, 545 272, 306, 307, 322, 321, 531, 532, 547, 546 273, 307, 308, 323, 322, 532, 533, 548, 547 274, 308, 309, 324, 323, 533, 534, 549, 548 275, 309, 310, 325, 324, 534, 535, 550, 549 276, 310, 311, 326, 325, 535, 536, 551, 550 277, 311, 312, 327, 326, 536, 537, 552, 551 278, 312, 313, 328, 327, 537, 538, 553, 552 279, 313, 314, 329, 328, 538, 539, 554, 553 280, 314, 315, 330, 329, 539, 540, 555, 554 281, 316, 317, 332, 331, 541, 542, 557, 556 282, 317, 318, 333, 332, 542, 543, 558, 557 283, 318, 319, 334, 333, 543, 544, 559, 558 284, 319, 320, 335, 334, 544, 545, 560, 559 285, 320, 321, 336, 335, 545, 546, 561, 560 286, 321, 322, 337, 336, 546, 547, 562, 561 287, 322, 323, 338, 337, 547, 548, 563, 562 288, 323, 324, 339, 338, 548, 549, 564, 563 289, 324, 325, 340, 339, 549, 550, 565, 564 290, 325, 326, 341, 340, 550, 551, 566, 565 291, 326, 327, 342, 341, 551, 552, 567, 566 292, 327, 328, 343, 342, 552, 553, 568, 567 293, 328, 329, 344, 343, 553, 554, 569, 568 294, 329, 330, 345, 344, 554, 555, 570, 569 295, 331, 332, 347, 346, 556, 557, 572, 571 296, 332, 333, 348, 347, 557, 558, 573, 572 297, 333, 334, 349, 348, 558, 559, 574, 573 298, 334, 335, 350, 349, 559, 560, 575, 574 299, 335, 336, 351, 350, 560, 561, 576, 575 300, 336, 337, 352, 351, 561, 562, 577, 576 301, 337, 338, 353, 352, 562, 563, 578, 577 302, 338, 339, 354, 353, 563, 564, 579, 578 303, 339, 340, 355, 354, 564, 565, 580, 579 304, 340, 341, 356, 355, 565, 566, 581, 580 305, 341, 342, 357, 356, 566, 567, 582, 581 306, 342, 343, 358, 357, 567, 568, 583, 582 307, 343, 344, 359, 358, 568, 569, 584, 583 308, 344, 345, 360, 359, 569, 570, 585, 584 309, 346, 347, 362, 361, 571, 572, 587, 586 310, 347, 348, 363, 362, 572, 573, 588, 587 311, 348, 349, 364, 363, 573, 574, 589, 588 312, 349, 350, 365, 364, 574, 575, 590, 589 313, 350, 351, 366, 365, 575, 576, 591, 590 314, 351, 352, 367, 366, 576, 577, 592, 591 315, 352, 353, 368, 367, 577, 578, 593, 592 316, 353, 354, 369, 368, 578, 579, 594, 593 317, 354, 355, 370, 369, 579, 580, 595, 594 318, 355, 356, 371, 370, 580, 581, 596, 595 319, 356, 357, 372, 371, 581, 582, 597, 596 320, 357, 358, 373, 372, 582, 583, 598, 597 321, 358, 359, 374, 373, 583, 584, 599, 598 322, 359, 360, 375, 374, 584, 585, 600, 599 323, 361, 362, 377, 376, 586, 587, 602, 601 324, 362, 363, 378, 377, 587, 588, 603, 602 325, 363, 364, 379, 378, 588, 589, 604, 603 326, 364, 365, 380, 379, 589, 590, 605, 604 327, 365, 366, 381, 380, 590, 591, 606, 605 328, 366, 367, 382, 381, 591, 592, 607, 606 329, 367, 368, 383, 382, 592, 593, 608, 607 330, 368, 369, 384, 383, 593, 594, 609, 608 331, 369, 370, 385, 384, 594, 595, 610, 609 332, 370, 371, 386, 385, 595, 596, 611, 610 333, 371, 372, 387, 386, 596, 597, 612, 611 334, 372, 373, 388, 387, 597, 598, 613, 612 335, 373, 374, 389, 388, 598, 599, 614, 613 336, 374, 375, 390, 389, 599, 600, 615, 614 337, 376, 377, 392, 391, 601, 602, 617, 616 338, 377, 378, 393, 392, 602, 603, 618, 617 339, 378, 379, 394, 393, 603, 604, 619, 618 340, 379, 380, 395, 394, 604, 605, 620, 619 341, 380, 381, 396, 395, 605, 606, 621, 620 342, 381, 382, 397, 396, 606, 607, 622, 621 343, 382, 383, 398, 397, 607, 608, 623, 622 344, 383, 384, 399, 398, 608, 609, 624, 623 345, 384, 385, 400, 399, 609, 610, 625, 624 346, 385, 386, 401, 400, 610, 611, 626, 625 347, 386, 387, 402, 401, 611, 612, 627, 626 348, 387, 388, 403, 402, 612, 613, 628, 627 349, 388, 389, 404, 403, 613, 614, 629, 628 350, 389, 390, 405, 404, 614, 615, 630, 629 351, 391, 392, 407, 406, 616, 617, 632, 631 352, 392, 393, 408, 407, 617, 618, 633, 632 353, 393, 394, 409, 408, 618, 619, 634, 633 354, 394, 395, 410, 409, 619, 620, 635, 634 355, 395, 396, 411, 410, 620, 621, 636, 635 356, 396, 397, 412, 411, 621, 622, 637, 636 357, 397, 398, 413, 412, 622, 623, 638, 637 358, 398, 399, 414, 413, 623, 624, 639, 638 359, 399, 400, 415, 414, 624, 625, 640, 639 360, 400, 401, 416, 415, 625, 626, 641, 640 361, 401, 402, 417, 416, 626, 627, 642, 641 362, 402, 403, 418, 417, 627, 628, 643, 642 363, 403, 404, 419, 418, 628, 629, 644, 643 364, 404, 405, 420, 419, 629, 630, 645, 644 365, 406, 407, 422, 421, 631, 632, 647, 646 366, 407, 408, 423, 422, 632, 633, 648, 647 367, 408, 409, 424, 423, 633, 634, 649, 648 368, 409, 410, 425, 424, 634, 635, 650, 649 369, 410, 411, 426, 425, 635, 636, 651, 650 370, 411, 412, 427, 426, 636, 637, 652, 651 371, 412, 413, 428, 427, 637, 638, 653, 652 372, 413, 414, 429, 428, 638, 639, 654, 653 373, 414, 415, 430, 429, 639, 640, 655, 654 374, 415, 416, 431, 430, 640, 641, 656, 655 375, 416, 417, 432, 431, 641, 642, 657, 656 376, 417, 418, 433, 432, 642, 643, 658, 657 377, 418, 419, 434, 433, 643, 644, 659, 658 378, 419, 420, 435, 434, 644, 645, 660, 659 379, 421, 422, 437, 436, 646, 647, 662, 661 380, 422, 423, 438, 437, 647, 648, 663, 662 381, 423, 424, 439, 438, 648, 649, 664, 663 382, 424, 425, 440, 439, 649, 650, 665, 664 383, 425, 426, 441, 440, 650, 651, 666, 665 384, 426, 427, 442, 441, 651, 652, 667, 666 385, 427, 428, 443, 442, 652, 653, 668, 667 386, 428, 429, 444, 443, 653, 654, 669, 668 387, 429, 430, 445, 444, 654, 655, 670, 669 388, 430, 431, 446, 445, 655, 656, 671, 670 389, 431, 432, 447, 446, 656, 657, 672, 671 390, 432, 433, 448, 447, 657, 658, 673, 672 391, 433, 434, 449, 448, 658, 659, 674, 673 392, 434, 435, 450, 449, 659, 660, 675, 674 393, 451, 452, 467, 466, 676, 677, 692, 691 394, 452, 453, 468, 467, 677, 678, 693, 692 395, 453, 454, 469, 468, 678, 679, 694, 693 396, 454, 455, 470, 469, 679, 680, 695, 694 397, 455, 456, 471, 470, 680, 681, 696, 695 398, 456, 457, 472, 471, 681, 682, 697, 696 399, 457, 458, 473, 472, 682, 683, 698, 697 400, 458, 459, 474, 473, 683, 684, 699, 698 401, 459, 460, 475, 474, 684, 685, 700, 699 402, 460, 461, 476, 475, 685, 686, 701, 700 403, 461, 462, 477, 476, 686, 687, 702, 701 404, 462, 463, 478, 477, 687, 688, 703, 702 405, 463, 464, 479, 478, 688, 689, 704, 703 406, 464, 465, 480, 479, 689, 690, 705, 704 407, 466, 467, 482, 481, 691, 692, 707, 706 408, 467, 468, 483, 482, 692, 693, 708, 707 409, 468, 469, 484, 483, 693, 694, 709, 708 410, 469, 470, 485, 484, 694, 695, 710, 709 411, 470, 471, 486, 485, 695, 696, 711, 710 412, 471, 472, 487, 486, 696, 697, 712, 711 413, 472, 473, 488, 487, 697, 698, 713, 712 414, 473, 474, 489, 488, 698, 699, 714, 713 415, 474, 475, 490, 489, 699, 700, 715, 714 416, 475, 476, 491, 490, 700, 701, 716, 715 417, 476, 477, 492, 491, 701, 702, 717, 716 418, 477, 478, 493, 492, 702, 703, 718, 717 419, 478, 479, 494, 493, 703, 704, 719, 718 420, 479, 480, 495, 494, 704, 705, 720, 719 421, 481, 482, 497, 496, 706, 707, 722, 721 422, 482, 483, 498, 497, 707, 708, 723, 722 423, 483, 484, 499, 498, 708, 709, 724, 723 424, 484, 485, 500, 499, 709, 710, 725, 724 425, 485, 486, 501, 500, 710, 711, 726, 725 426, 486, 487, 502, 501, 711, 712, 727, 726 427, 487, 488, 503, 502, 712, 713, 728, 727 428, 488, 489, 504, 503, 713, 714, 729, 728 429, 489, 490, 505, 504, 714, 715, 730, 729 430, 490, 491, 506, 505, 715, 716, 731, 730 431, 491, 492, 507, 506, 716, 717, 732, 731 432, 492, 493, 508, 507, 717, 718, 733, 732 433, 493, 494, 509, 508, 718, 719, 734, 733 434, 494, 495, 510, 509, 719, 720, 735, 734 435, 496, 497, 512, 511, 721, 722, 737, 736 436, 497, 498, 513, 512, 722, 723, 738, 737 437, 498, 499, 514, 513, 723, 724, 739, 738 438, 499, 500, 515, 514, 724, 725, 740, 739 439, 500, 501, 516, 515, 725, 726, 741, 740 440, 501, 502, 517, 516, 726, 727, 742, 741 441, 502, 503, 518, 517, 727, 728, 743, 742 442, 503, 504, 519, 518, 728, 729, 744, 743 443, 504, 505, 520, 519, 729, 730, 745, 744 444, 505, 506, 521, 520, 730, 731, 746, 745 445, 506, 507, 522, 521, 731, 732, 747, 746 446, 507, 508, 523, 522, 732, 733, 748, 747 447, 508, 509, 524, 523, 733, 734, 749, 748 448, 509, 510, 525, 524, 734, 735, 750, 749 449, 511, 512, 527, 526, 736, 737, 752, 751 450, 512, 513, 528, 527, 737, 738, 753, 752 451, 513, 514, 529, 528, 738, 739, 754, 753 452, 514, 515, 530, 529, 739, 740, 755, 754 453, 515, 516, 531, 530, 740, 741, 756, 755 454, 516, 517, 532, 531, 741, 742, 757, 756 455, 517, 518, 533, 532, 742, 743, 758, 757 456, 518, 519, 534, 533, 743, 744, 759, 758 457, 519, 520, 535, 534, 744, 745, 760, 759 458, 520, 521, 536, 535, 745, 746, 761, 760 459, 521, 522, 537, 536, 746, 747, 762, 761 460, 522, 523, 538, 537, 747, 748, 763, 762 461, 523, 524, 539, 538, 748, 749, 764, 763 462, 524, 525, 540, 539, 749, 750, 765, 764 463, 526, 527, 542, 541, 751, 752, 767, 766 464, 527, 528, 543, 542, 752, 753, 768, 767 465, 528, 529, 544, 543, 753, 754, 769, 768 466, 529, 530, 545, 544, 754, 755, 770, 769 467, 530, 531, 546, 545, 755, 756, 771, 770 468, 531, 532, 547, 546, 756, 757, 772, 771 469, 532, 533, 548, 547, 757, 758, 773, 772 470, 533, 534, 549, 548, 758, 759, 774, 773 471, 534, 535, 550, 549, 759, 760, 775, 774 472, 535, 536, 551, 550, 760, 761, 776, 775 473, 536, 537, 552, 551, 761, 762, 777, 776 474, 537, 538, 553, 552, 762, 763, 778, 777 475, 538, 539, 554, 553, 763, 764, 779, 778 476, 539, 540, 555, 554, 764, 765, 780, 779 477, 541, 542, 557, 556, 766, 767, 782, 781 478, 542, 543, 558, 557, 767, 768, 783, 782 479, 543, 544, 559, 558, 768, 769, 784, 783 480, 544, 545, 560, 559, 769, 770, 785, 784 481, 545, 546, 561, 560, 770, 771, 786, 785 482, 546, 547, 562, 561, 771, 772, 787, 786 483, 547, 548, 563, 562, 772, 773, 788, 787 484, 548, 549, 564, 563, 773, 774, 789, 788 485, 549, 550, 565, 564, 774, 775, 790, 789 486, 550, 551, 566, 565, 775, 776, 791, 790 487, 551, 552, 567, 566, 776, 777, 792, 791 488, 552, 553, 568, 567, 777, 778, 793, 792 489, 553, 554, 569, 568, 778, 779, 794, 793 490, 554, 555, 570, 569, 779, 780, 795, 794 491, 556, 557, 572, 571, 781, 782, 797, 796 492, 557, 558, 573, 572, 782, 783, 798, 797 493, 558, 559, 574, 573, 783, 784, 799, 798 494, 559, 560, 575, 574, 784, 785, 800, 799 495, 560, 561, 576, 575, 785, 786, 801, 800 496, 561, 562, 577, 576, 786, 787, 802, 801 497, 562, 563, 578, 577, 787, 788, 803, 802 498, 563, 564, 579, 578, 788, 789, 804, 803 499, 564, 565, 580, 579, 789, 790, 805, 804 500, 565, 566, 581, 580, 790, 791, 806, 805 501, 566, 567, 582, 581, 791, 792, 807, 806 502, 567, 568, 583, 582, 792, 793, 808, 807 503, 568, 569, 584, 583, 793, 794, 809, 808 504, 569, 570, 585, 584, 794, 795, 810, 809 505, 571, 572, 587, 586, 796, 797, 812, 811 506, 572, 573, 588, 587, 797, 798, 813, 812 507, 573, 574, 589, 588, 798, 799, 814, 813 508, 574, 575, 590, 589, 799, 800, 815, 814 509, 575, 576, 591, 590, 800, 801, 816, 815 510, 576, 577, 592, 591, 801, 802, 817, 816 511, 577, 578, 593, 592, 802, 803, 818, 817 512, 578, 579, 594, 593, 803, 804, 819, 818 513, 579, 580, 595, 594, 804, 805, 820, 819 514, 580, 581, 596, 595, 805, 806, 821, 820 515, 581, 582, 597, 596, 806, 807, 822, 821 516, 582, 583, 598, 597, 807, 808, 823, 822 517, 583, 584, 599, 598, 808, 809, 824, 823 518, 584, 585, 600, 599, 809, 810, 825, 824 519, 586, 587, 602, 601, 811, 812, 827, 826 520, 587, 588, 603, 602, 812, 813, 828, 827 521, 588, 589, 604, 603, 813, 814, 829, 828 522, 589, 590, 605, 604, 814, 815, 830, 829 523, 590, 591, 606, 605, 815, 816, 831, 830 524, 591, 592, 607, 606, 816, 817, 832, 831 525, 592, 593, 608, 607, 817, 818, 833, 832 526, 593, 594, 609, 608, 818, 819, 834, 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843, 844, 859, 858 550, 619, 620, 635, 634, 844, 845, 860, 859 551, 620, 621, 636, 635, 845, 846, 861, 860 552, 621, 622, 637, 636, 846, 847, 862, 861 553, 622, 623, 638, 637, 847, 848, 863, 862 554, 623, 624, 639, 638, 848, 849, 864, 863 555, 624, 625, 640, 639, 849, 850, 865, 864 556, 625, 626, 641, 640, 850, 851, 866, 865 557, 626, 627, 642, 641, 851, 852, 867, 866 558, 627, 628, 643, 642, 852, 853, 868, 867 559, 628, 629, 644, 643, 853, 854, 869, 868 560, 629, 630, 645, 644, 854, 855, 870, 869 561, 631, 632, 647, 646, 856, 857, 872, 871 562, 632, 633, 648, 647, 857, 858, 873, 872 563, 633, 634, 649, 648, 858, 859, 874, 873 564, 634, 635, 650, 649, 859, 860, 875, 874 565, 635, 636, 651, 650, 860, 861, 876, 875 566, 636, 637, 652, 651, 861, 862, 877, 876 567, 637, 638, 653, 652, 862, 863, 878, 877 568, 638, 639, 654, 653, 863, 864, 879, 878 569, 639, 640, 655, 654, 864, 865, 880, 879 570, 640, 641, 656, 655, 865, 866, 881, 880 571, 641, 642, 657, 656, 866, 867, 882, 881 572, 642, 643, 658, 657, 867, 868, 883, 882 573, 643, 644, 659, 658, 868, 869, 884, 883 574, 644, 645, 660, 659, 869, 870, 885, 884 575, 646, 647, 662, 661, 871, 872, 887, 886 576, 647, 648, 663, 662, 872, 873, 888, 887 577, 648, 649, 664, 663, 873, 874, 889, 888 578, 649, 650, 665, 664, 874, 875, 890, 889 579, 650, 651, 666, 665, 875, 876, 891, 890 580, 651, 652, 667, 666, 876, 877, 892, 891 581, 652, 653, 668, 667, 877, 878, 893, 892 582, 653, 654, 669, 668, 878, 879, 894, 893 583, 654, 655, 670, 669, 879, 880, 895, 894 584, 655, 656, 671, 670, 880, 881, 896, 895 585, 656, 657, 672, 671, 881, 882, 897, 896 586, 657, 658, 673, 672, 882, 883, 898, 897 587, 658, 659, 674, 673, 883, 884, 899, 898 588, 659, 660, 675, 674, 884, 885, 900, 899 589, 676, 677, 692, 691, 901, 902, 917, 916 590, 677, 678, 693, 692, 902, 903, 918, 917 591, 678, 679, 694, 693, 903, 904, 919, 918 592, 679, 680, 695, 694, 904, 905, 920, 919 593, 680, 681, 696, 695, 905, 906, 921, 920 594, 681, 682, 697, 696, 906, 907, 922, 921 595, 682, 683, 698, 697, 907, 908, 923, 922 596, 683, 684, 699, 698, 908, 909, 924, 923 597, 684, 685, 700, 699, 909, 910, 925, 924 598, 685, 686, 701, 700, 910, 911, 926, 925 599, 686, 687, 702, 701, 911, 912, 927, 926 600, 687, 688, 703, 702, 912, 913, 928, 927 601, 688, 689, 704, 703, 913, 914, 929, 928 602, 689, 690, 705, 704, 914, 915, 930, 929 603, 691, 692, 707, 706, 916, 917, 932, 931 604, 692, 693, 708, 707, 917, 918, 933, 932 605, 693, 694, 709, 708, 918, 919, 934, 933 606, 694, 695, 710, 709, 919, 920, 935, 934 607, 695, 696, 711, 710, 920, 921, 936, 935 608, 696, 697, 712, 711, 921, 922, 937, 936 609, 697, 698, 713, 712, 922, 923, 938, 937 610, 698, 699, 714, 713, 923, 924, 939, 938 611, 699, 700, 715, 714, 924, 925, 940, 939 612, 700, 701, 716, 715, 925, 926, 941, 940 613, 701, 702, 717, 716, 926, 927, 942, 941 614, 702, 703, 718, 717, 927, 928, 943, 942 615, 703, 704, 719, 718, 928, 929, 944, 943 616, 704, 705, 720, 719, 929, 930, 945, 944 617, 706, 707, 722, 721, 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1295, 1310, 1309, 1519, 1520, 1535, 1534 1139, 1295, 1296, 1311, 1310, 1520, 1521, 1536, 1535 1140, 1296, 1297, 1312, 1311, 1521, 1522, 1537, 1536 1141, 1297, 1298, 1313, 1312, 1522, 1523, 1538, 1537 1142, 1298, 1299, 1314, 1313, 1523, 1524, 1539, 1538 1143, 1299, 1300, 1315, 1314, 1524, 1525, 1540, 1539 1144, 1300, 1301, 1316, 1315, 1525, 1526, 1541, 1540 1145, 1301, 1302, 1317, 1316, 1526, 1527, 1542, 1541 1146, 1302, 1303, 1318, 1317, 1527, 1528, 1543, 1542 1147, 1303, 1304, 1319, 1318, 1528, 1529, 1544, 1543 1148, 1304, 1305, 1320, 1319, 1529, 1530, 1545, 1544 1149, 1306, 1307, 1322, 1321, 1531, 1532, 1547, 1546 1150, 1307, 1308, 1323, 1322, 1532, 1533, 1548, 1547 1151, 1308, 1309, 1324, 1323, 1533, 1534, 1549, 1548 1152, 1309, 1310, 1325, 1324, 1534, 1535, 1550, 1549 1153, 1310, 1311, 1326, 1325, 1535, 1536, 1551, 1550 1154, 1311, 1312, 1327, 1326, 1536, 1537, 1552, 1551 1155, 1312, 1313, 1328, 1327, 1537, 1538, 1553, 1552 1156, 1313, 1314, 1329, 1328, 1538, 1539, 1554, 1553 1157, 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1780, 2042, 2043, 2058, 2057, 2267, 2268, 2283, 2282 1781, 2043, 2044, 2059, 2058, 2268, 2269, 2284, 2283 1782, 2044, 2045, 2060, 2059, 2269, 2270, 2285, 2284 1783, 2045, 2046, 2061, 2060, 2270, 2271, 2286, 2285 1784, 2046, 2047, 2062, 2061, 2271, 2272, 2287, 2286 1785, 2047, 2048, 2063, 2062, 2272, 2273, 2288, 2287 1786, 2048, 2049, 2064, 2063, 2273, 2274, 2289, 2288 1787, 2049, 2050, 2065, 2064, 2274, 2275, 2290, 2289 1788, 2050, 2051, 2066, 2065, 2275, 2276, 2291, 2290 1789, 2051, 2052, 2067, 2066, 2276, 2277, 2292, 2291 1790, 2052, 2053, 2068, 2067, 2277, 2278, 2293, 2292 1791, 2053, 2054, 2069, 2068, 2278, 2279, 2294, 2293 1792, 2054, 2055, 2070, 2069, 2279, 2280, 2295, 2294 1793, 2056, 2057, 2072, 2071, 2281, 2282, 2297, 2296 1794, 2057, 2058, 2073, 2072, 2282, 2283, 2298, 2297 1795, 2058, 2059, 2074, 2073, 2283, 2284, 2299, 2298 1796, 2059, 2060, 2075, 2074, 2284, 2285, 2300, 2299 1797, 2060, 2061, 2076, 2075, 2285, 2286, 2301, 2300 1798, 2061, 2062, 2077, 2076, 2286, 2287, 2302, 2301 1799, 2062, 2063, 2078, 2077, 2287, 2288, 2303, 2302 1800, 2063, 2064, 2079, 2078, 2288, 2289, 2304, 2303 1801, 2064, 2065, 2080, 2079, 2289, 2290, 2305, 2304 1802, 2065, 2066, 2081, 2080, 2290, 2291, 2306, 2305 1803, 2066, 2067, 2082, 2081, 2291, 2292, 2307, 2306 1804, 2067, 2068, 2083, 2082, 2292, 2293, 2308, 2307 1805, 2068, 2069, 2084, 2083, 2293, 2294, 2309, 2308 1806, 2069, 2070, 2085, 2084, 2294, 2295, 2310, 2309 1807, 2071, 2072, 2087, 2086, 2296, 2297, 2312, 2311 1808, 2072, 2073, 2088, 2087, 2297, 2298, 2313, 2312 1809, 2073, 2074, 2089, 2088, 2298, 2299, 2314, 2313 1810, 2074, 2075, 2090, 2089, 2299, 2300, 2315, 2314 1811, 2075, 2076, 2091, 2090, 2300, 2301, 2316, 2315 1812, 2076, 2077, 2092, 2091, 2301, 2302, 2317, 2316 1813, 2077, 2078, 2093, 2092, 2302, 2303, 2318, 2317 1814, 2078, 2079, 2094, 2093, 2303, 2304, 2319, 2318 1815, 2079, 2080, 2095, 2094, 2304, 2305, 2320, 2319 1816, 2080, 2081, 2096, 2095, 2305, 2306, 2321, 2320 1817, 2081, 2082, 2097, 2096, 2306, 2307, 2322, 2321 1818, 2082, 2083, 2098, 2097, 2307, 2308, 2323, 2322 1819, 2083, 2084, 2099, 2098, 2308, 2309, 2324, 2323 1820, 2084, 2085, 2100, 2099, 2309, 2310, 2325, 2324 1821, 2086, 2087, 2102, 2101, 2311, 2312, 2327, 2326 1822, 2087, 2088, 2103, 2102, 2312, 2313, 2328, 2327 1823, 2088, 2089, 2104, 2103, 2313, 2314, 2329, 2328 1824, 2089, 2090, 2105, 2104, 2314, 2315, 2330, 2329 1825, 2090, 2091, 2106, 2105, 2315, 2316, 2331, 2330 1826, 2091, 2092, 2107, 2106, 2316, 2317, 2332, 2331 1827, 2092, 2093, 2108, 2107, 2317, 2318, 2333, 2332 1828, 2093, 2094, 2109, 2108, 2318, 2319, 2334, 2333 1829, 2094, 2095, 2110, 2109, 2319, 2320, 2335, 2334 1830, 2095, 2096, 2111, 2110, 2320, 2321, 2336, 2335 1831, 2096, 2097, 2112, 2111, 2321, 2322, 2337, 2336 1832, 2097, 2098, 2113, 2112, 2322, 2323, 2338, 2337 1833, 2098, 2099, 2114, 2113, 2323, 2324, 2339, 2338 1834, 2099, 2100, 2115, 2114, 2324, 2325, 2340, 2339 1835, 2101, 2102, 2117, 2116, 2326, 2327, 2342, 2341 1836, 2102, 2103, 2118, 2117, 2327, 2328, 2343, 2342 1837, 2103, 2104, 2119, 2118, 2328, 2329, 2344, 2343 1838, 2104, 2105, 2120, 2119, 2329, 2330, 2345, 2344 1839, 2105, 2106, 2121, 2120, 2330, 2331, 2346, 2345 1840, 2106, 2107, 2122, 2121, 2331, 2332, 2347, 2346 1841, 2107, 2108, 2123, 2122, 2332, 2333, 2348, 2347 1842, 2108, 2109, 2124, 2123, 2333, 2334, 2349, 2348 1843, 2109, 2110, 2125, 2124, 2334, 2335, 2350, 2349 1844, 2110, 2111, 2126, 2125, 2335, 2336, 2351, 2350 1845, 2111, 2112, 2127, 2126, 2336, 2337, 2352, 2351 1846, 2112, 2113, 2128, 2127, 2337, 2338, 2353, 2352 1847, 2113, 2114, 2129, 2128, 2338, 2339, 2354, 2353 1848, 2114, 2115, 2130, 2129, 2339, 2340, 2355, 2354 1849, 2116, 2117, 2132, 2131, 2341, 2342, 2357, 2356 1850, 2117, 2118, 2133, 2132, 2342, 2343, 2358, 2357 1851, 2118, 2119, 2134, 2133, 2343, 2344, 2359, 2358 1852, 2119, 2120, 2135, 2134, 2344, 2345, 2360, 2359 1853, 2120, 2121, 2136, 2135, 2345, 2346, 2361, 2360 1854, 2121, 2122, 2137, 2136, 2346, 2347, 2362, 2361 1855, 2122, 2123, 2138, 2137, 2347, 2348, 2363, 2362 1856, 2123, 2124, 2139, 2138, 2348, 2349, 2364, 2363 1857, 2124, 2125, 2140, 2139, 2349, 2350, 2365, 2364 1858, 2125, 2126, 2141, 2140, 2350, 2351, 2366, 2365 1859, 2126, 2127, 2142, 2141, 2351, 2352, 2367, 2366 1860, 2127, 2128, 2143, 2142, 2352, 2353, 2368, 2367 1861, 2128, 2129, 2144, 2143, 2353, 2354, 2369, 2368 1862, 2129, 2130, 2145, 2144, 2354, 2355, 2370, 2369 1863, 2131, 2132, 2147, 2146, 2356, 2357, 2372, 2371 1864, 2132, 2133, 2148, 2147, 2357, 2358, 2373, 2372 1865, 2133, 2134, 2149, 2148, 2358, 2359, 2374, 2373 1866, 2134, 2135, 2150, 2149, 2359, 2360, 2375, 2374 1867, 2135, 2136, 2151, 2150, 2360, 2361, 2376, 2375 1868, 2136, 2137, 2152, 2151, 2361, 2362, 2377, 2376 1869, 2137, 2138, 2153, 2152, 2362, 2363, 2378, 2377 1870, 2138, 2139, 2154, 2153, 2363, 2364, 2379, 2378 1871, 2139, 2140, 2155, 2154, 2364, 2365, 2380, 2379 1872, 2140, 2141, 2156, 2155, 2365, 2366, 2381, 2380 1873, 2141, 2142, 2157, 2156, 2366, 2367, 2382, 2381 1874, 2142, 2143, 2158, 2157, 2367, 2368, 2383, 2382 1875, 2143, 2144, 2159, 2158, 2368, 2369, 2384, 2383 1876, 2144, 2145, 2160, 2159, 2369, 2370, 2385, 2384 1877, 2146, 2147, 2162, 2161, 2371, 2372, 2387, 2386 1878, 2147, 2148, 2163, 2162, 2372, 2373, 2388, 2387 1879, 2148, 2149, 2164, 2163, 2373, 2374, 2389, 2388 1880, 2149, 2150, 2165, 2164, 2374, 2375, 2390, 2389 1881, 2150, 2151, 2166, 2165, 2375, 2376, 2391, 2390 1882, 2151, 2152, 2167, 2166, 2376, 2377, 2392, 2391 1883, 2152, 2153, 2168, 2167, 2377, 2378, 2393, 2392 1884, 2153, 2154, 2169, 2168, 2378, 2379, 2394, 2393 1885, 2154, 2155, 2170, 2169, 2379, 2380, 2395, 2394 1886, 2155, 2156, 2171, 2170, 2380, 2381, 2396, 2395 1887, 2156, 2157, 2172, 2171, 2381, 2382, 2397, 2396 1888, 2157, 2158, 2173, 2172, 2382, 2383, 2398, 2397 1889, 2158, 2159, 2174, 2173, 2383, 2384, 2399, 2398 1890, 2159, 2160, 2175, 2174, 2384, 2385, 2400, 2399 1891, 2161, 2162, 2177, 2176, 2386, 2387, 2402, 2401 1892, 2162, 2163, 2178, 2177, 2387, 2388, 2403, 2402 1893, 2163, 2164, 2179, 2178, 2388, 2389, 2404, 2403 1894, 2164, 2165, 2180, 2179, 2389, 2390, 2405, 2404 1895, 2165, 2166, 2181, 2180, 2390, 2391, 2406, 2405 1896, 2166, 2167, 2182, 2181, 2391, 2392, 2407, 2406 1897, 2167, 2168, 2183, 2182, 2392, 2393, 2408, 2407 1898, 2168, 2169, 2184, 2183, 2393, 2394, 2409, 2408 1899, 2169, 2170, 2185, 2184, 2394, 2395, 2410, 2409 1900, 2170, 2171, 2186, 2185, 2395, 2396, 2411, 2410 1901, 2171, 2172, 2187, 2186, 2396, 2397, 2412, 2411 1902, 2172, 2173, 2188, 2187, 2397, 2398, 2413, 2412 1903, 2173, 2174, 2189, 2188, 2398, 2399, 2414, 2413 1904, 2174, 2175, 2190, 2189, 2399, 2400, 2415, 2414 1905, 2176, 2177, 2192, 2191, 2401, 2402, 2417, 2416 1906, 2177, 2178, 2193, 2192, 2402, 2403, 2418, 2417 1907, 2178, 2179, 2194, 2193, 2403, 2404, 2419, 2418 1908, 2179, 2180, 2195, 2194, 2404, 2405, 2420, 2419 1909, 2180, 2181, 2196, 2195, 2405, 2406, 2421, 2420 1910, 2181, 2182, 2197, 2196, 2406, 2407, 2422, 2421 1911, 2182, 2183, 2198, 2197, 2407, 2408, 2423, 2422 1912, 2183, 2184, 2199, 2198, 2408, 2409, 2424, 2423 1913, 2184, 2185, 2200, 2199, 2409, 2410, 2425, 2424 1914, 2185, 2186, 2201, 2200, 2410, 2411, 2426, 2425 1915, 2186, 2187, 2202, 2201, 2411, 2412, 2427, 2426 1916, 2187, 2188, 2203, 2202, 2412, 2413, 2428, 2427 1917, 2188, 2189, 2204, 2203, 2413, 2414, 2429, 2428 1918, 2189, 2190, 2205, 2204, 2414, 2415, 2430, 2429 1919, 2191, 2192, 2207, 2206, 2416, 2417, 2432, 2431 1920, 2192, 2193, 2208, 2207, 2417, 2418, 2433, 2432 1921, 2193, 2194, 2209, 2208, 2418, 2419, 2434, 2433 1922, 2194, 2195, 2210, 2209, 2419, 2420, 2435, 2434 1923, 2195, 2196, 2211, 2210, 2420, 2421, 2436, 2435 1924, 2196, 2197, 2212, 2211, 2421, 2422, 2437, 2436 1925, 2197, 2198, 2213, 2212, 2422, 2423, 2438, 2437 1926, 2198, 2199, 2214, 2213, 2423, 2424, 2439, 2438 1927, 2199, 2200, 2215, 2214, 2424, 2425, 2440, 2439 1928, 2200, 2201, 2216, 2215, 2425, 2426, 2441, 2440 1929, 2201, 2202, 2217, 2216, 2426, 2427, 2442, 2441 1930, 2202, 2203, 2218, 2217, 2427, 2428, 2443, 2442 1931, 2203, 2204, 2219, 2218, 2428, 2429, 2444, 2443 1932, 2204, 2205, 2220, 2219, 2429, 2430, 2445, 2444 1933, 2206, 2207, 2222, 2221, 2431, 2432, 2447, 2446 1934, 2207, 2208, 2223, 2222, 2432, 2433, 2448, 2447 1935, 2208, 2209, 2224, 2223, 2433, 2434, 2449, 2448 1936, 2209, 2210, 2225, 2224, 2434, 2435, 2450, 2449 1937, 2210, 2211, 2226, 2225, 2435, 2436, 2451, 2450 1938, 2211, 2212, 2227, 2226, 2436, 2437, 2452, 2451 1939, 2212, 2213, 2228, 2227, 2437, 2438, 2453, 2452 1940, 2213, 2214, 2229, 2228, 2438, 2439, 2454, 2453 1941, 2214, 2215, 2230, 2229, 2439, 2440, 2455, 2454 1942, 2215, 2216, 2231, 2230, 2440, 2441, 2456, 2455 1943, 2216, 2217, 2232, 2231, 2441, 2442, 2457, 2456 1944, 2217, 2218, 2233, 2232, 2442, 2443, 2458, 2457 1945, 2218, 2219, 2234, 2233, 2443, 2444, 2459, 2458 1946, 2219, 2220, 2235, 2234, 2444, 2445, 2460, 2459 1947, 2221, 2222, 2237, 2236, 2446, 2447, 2462, 2461 1948, 2222, 2223, 2238, 2237, 2447, 2448, 2463, 2462 1949, 2223, 2224, 2239, 2238, 2448, 2449, 2464, 2463 1950, 2224, 2225, 2240, 2239, 2449, 2450, 2465, 2464 1951, 2225, 2226, 2241, 2240, 2450, 2451, 2466, 2465 1952, 2226, 2227, 2242, 2241, 2451, 2452, 2467, 2466 1953, 2227, 2228, 2243, 2242, 2452, 2453, 2468, 2467 1954, 2228, 2229, 2244, 2243, 2453, 2454, 2469, 2468 1955, 2229, 2230, 2245, 2244, 2454, 2455, 2470, 2469 1956, 2230, 2231, 2246, 2245, 2455, 2456, 2471, 2470 1957, 2231, 2232, 2247, 2246, 2456, 2457, 2472, 2471 1958, 2232, 2233, 2248, 2247, 2457, 2458, 2473, 2472 1959, 2233, 2234, 2249, 2248, 2458, 2459, 2474, 2473 1960, 2234, 2235, 2250, 2249, 2459, 2460, 2475, 2474 1961, 2251, 2252, 2267, 2266, 2476, 2477, 2492, 2491 1962, 2252, 2253, 2268, 2267, 2477, 2478, 2493, 2492 1963, 2253, 2254, 2269, 2268, 2478, 2479, 2494, 2493 1964, 2254, 2255, 2270, 2269, 2479, 2480, 2495, 2494 1965, 2255, 2256, 2271, 2270, 2480, 2481, 2496, 2495 1966, 2256, 2257, 2272, 2271, 2481, 2482, 2497, 2496 1967, 2257, 2258, 2273, 2272, 2482, 2483, 2498, 2497 1968, 2258, 2259, 2274, 2273, 2483, 2484, 2499, 2498 1969, 2259, 2260, 2275, 2274, 2484, 2485, 2500, 2499 1970, 2260, 2261, 2276, 2275, 2485, 2486, 2501, 2500 1971, 2261, 2262, 2277, 2276, 2486, 2487, 2502, 2501 1972, 2262, 2263, 2278, 2277, 2487, 2488, 2503, 2502 1973, 2263, 2264, 2279, 2278, 2488, 2489, 2504, 2503 1974, 2264, 2265, 2280, 2279, 2489, 2490, 2505, 2504 1975, 2266, 2267, 2282, 2281, 2491, 2492, 2507, 2506 1976, 2267, 2268, 2283, 2282, 2492, 2493, 2508, 2507 1977, 2268, 2269, 2284, 2283, 2493, 2494, 2509, 2508 1978, 2269, 2270, 2285, 2284, 2494, 2495, 2510, 2509 1979, 2270, 2271, 2286, 2285, 2495, 2496, 2511, 2510 1980, 2271, 2272, 2287, 2286, 2496, 2497, 2512, 2511 1981, 2272, 2273, 2288, 2287, 2497, 2498, 2513, 2512 1982, 2273, 2274, 2289, 2288, 2498, 2499, 2514, 2513 1983, 2274, 2275, 2290, 2289, 2499, 2500, 2515, 2514 1984, 2275, 2276, 2291, 2290, 2500, 2501, 2516, 2515 1985, 2276, 2277, 2292, 2291, 2501, 2502, 2517, 2516 1986, 2277, 2278, 2293, 2292, 2502, 2503, 2518, 2517 1987, 2278, 2279, 2294, 2293, 2503, 2504, 2519, 2518 1988, 2279, 2280, 2295, 2294, 2504, 2505, 2520, 2519 1989, 2281, 2282, 2297, 2296, 2506, 2507, 2522, 2521 1990, 2282, 2283, 2298, 2297, 2507, 2508, 2523, 2522 1991, 2283, 2284, 2299, 2298, 2508, 2509, 2524, 2523 1992, 2284, 2285, 2300, 2299, 2509, 2510, 2525, 2524 1993, 2285, 2286, 2301, 2300, 2510, 2511, 2526, 2525 1994, 2286, 2287, 2302, 2301, 2511, 2512, 2527, 2526 1995, 2287, 2288, 2303, 2302, 2512, 2513, 2528, 2527 1996, 2288, 2289, 2304, 2303, 2513, 2514, 2529, 2528 1997, 2289, 2290, 2305, 2304, 2514, 2515, 2530, 2529 1998, 2290, 2291, 2306, 2305, 2515, 2516, 2531, 2530 1999, 2291, 2292, 2307, 2306, 2516, 2517, 2532, 2531 2000, 2292, 2293, 2308, 2307, 2517, 2518, 2533, 2532 2001, 2293, 2294, 2309, 2308, 2518, 2519, 2534, 2533 2002, 2294, 2295, 2310, 2309, 2519, 2520, 2535, 2534 2003, 2296, 2297, 2312, 2311, 2521, 2522, 2537, 2536 2004, 2297, 2298, 2313, 2312, 2522, 2523, 2538, 2537 2005, 2298, 2299, 2314, 2313, 2523, 2524, 2539, 2538 2006, 2299, 2300, 2315, 2314, 2524, 2525, 2540, 2539 2007, 2300, 2301, 2316, 2315, 2525, 2526, 2541, 2540 2008, 2301, 2302, 2317, 2316, 2526, 2527, 2542, 2541 2009, 2302, 2303, 2318, 2317, 2527, 2528, 2543, 2542 2010, 2303, 2304, 2319, 2318, 2528, 2529, 2544, 2543 2011, 2304, 2305, 2320, 2319, 2529, 2530, 2545, 2544 2012, 2305, 2306, 2321, 2320, 2530, 2531, 2546, 2545 2013, 2306, 2307, 2322, 2321, 2531, 2532, 2547, 2546 2014, 2307, 2308, 2323, 2322, 2532, 2533, 2548, 2547 2015, 2308, 2309, 2324, 2323, 2533, 2534, 2549, 2548 2016, 2309, 2310, 2325, 2324, 2534, 2535, 2550, 2549 2017, 2311, 2312, 2327, 2326, 2536, 2537, 2552, 2551 2018, 2312, 2313, 2328, 2327, 2537, 2538, 2553, 2552 2019, 2313, 2314, 2329, 2328, 2538, 2539, 2554, 2553 2020, 2314, 2315, 2330, 2329, 2539, 2540, 2555, 2554 2021, 2315, 2316, 2331, 2330, 2540, 2541, 2556, 2555 2022, 2316, 2317, 2332, 2331, 2541, 2542, 2557, 2556 2023, 2317, 2318, 2333, 2332, 2542, 2543, 2558, 2557 2024, 2318, 2319, 2334, 2333, 2543, 2544, 2559, 2558 2025, 2319, 2320, 2335, 2334, 2544, 2545, 2560, 2559 2026, 2320, 2321, 2336, 2335, 2545, 2546, 2561, 2560 2027, 2321, 2322, 2337, 2336, 2546, 2547, 2562, 2561 2028, 2322, 2323, 2338, 2337, 2547, 2548, 2563, 2562 2029, 2323, 2324, 2339, 2338, 2548, 2549, 2564, 2563 2030, 2324, 2325, 2340, 2339, 2549, 2550, 2565, 2564 2031, 2326, 2327, 2342, 2341, 2551, 2552, 2567, 2566 2032, 2327, 2328, 2343, 2342, 2552, 2553, 2568, 2567 2033, 2328, 2329, 2344, 2343, 2553, 2554, 2569, 2568 2034, 2329, 2330, 2345, 2344, 2554, 2555, 2570, 2569 2035, 2330, 2331, 2346, 2345, 2555, 2556, 2571, 2570 2036, 2331, 2332, 2347, 2346, 2556, 2557, 2572, 2571 2037, 2332, 2333, 2348, 2347, 2557, 2558, 2573, 2572 2038, 2333, 2334, 2349, 2348, 2558, 2559, 2574, 2573 2039, 2334, 2335, 2350, 2349, 2559, 2560, 2575, 2574 2040, 2335, 2336, 2351, 2350, 2560, 2561, 2576, 2575 2041, 2336, 2337, 2352, 2351, 2561, 2562, 2577, 2576 2042, 2337, 2338, 2353, 2352, 2562, 2563, 2578, 2577 2043, 2338, 2339, 2354, 2353, 2563, 2564, 2579, 2578 2044, 2339, 2340, 2355, 2354, 2564, 2565, 2580, 2579 2045, 2341, 2342, 2357, 2356, 2566, 2567, 2582, 2581 2046, 2342, 2343, 2358, 2357, 2567, 2568, 2583, 2582 2047, 2343, 2344, 2359, 2358, 2568, 2569, 2584, 2583 2048, 2344, 2345, 2360, 2359, 2569, 2570, 2585, 2584 2049, 2345, 2346, 2361, 2360, 2570, 2571, 2586, 2585 2050, 2346, 2347, 2362, 2361, 2571, 2572, 2587, 2586 2051, 2347, 2348, 2363, 2362, 2572, 2573, 2588, 2587 2052, 2348, 2349, 2364, 2363, 2573, 2574, 2589, 2588 2053, 2349, 2350, 2365, 2364, 2574, 2575, 2590, 2589 2054, 2350, 2351, 2366, 2365, 2575, 2576, 2591, 2590 2055, 2351, 2352, 2367, 2366, 2576, 2577, 2592, 2591 2056, 2352, 2353, 2368, 2367, 2577, 2578, 2593, 2592 2057, 2353, 2354, 2369, 2368, 2578, 2579, 2594, 2593 2058, 2354, 2355, 2370, 2369, 2579, 2580, 2595, 2594 2059, 2356, 2357, 2372, 2371, 2581, 2582, 2597, 2596 2060, 2357, 2358, 2373, 2372, 2582, 2583, 2598, 2597 2061, 2358, 2359, 2374, 2373, 2583, 2584, 2599, 2598 2062, 2359, 2360, 2375, 2374, 2584, 2585, 2600, 2599 2063, 2360, 2361, 2376, 2375, 2585, 2586, 2601, 2600 2064, 2361, 2362, 2377, 2376, 2586, 2587, 2602, 2601 2065, 2362, 2363, 2378, 2377, 2587, 2588, 2603, 2602 2066, 2363, 2364, 2379, 2378, 2588, 2589, 2604, 2603 2067, 2364, 2365, 2380, 2379, 2589, 2590, 2605, 2604 2068, 2365, 2366, 2381, 2380, 2590, 2591, 2606, 2605 2069, 2366, 2367, 2382, 2381, 2591, 2592, 2607, 2606 2070, 2367, 2368, 2383, 2382, 2592, 2593, 2608, 2607 2071, 2368, 2369, 2384, 2383, 2593, 2594, 2609, 2608 2072, 2369, 2370, 2385, 2384, 2594, 2595, 2610, 2609 2073, 2371, 2372, 2387, 2386, 2596, 2597, 2612, 2611 2074, 2372, 2373, 2388, 2387, 2597, 2598, 2613, 2612 2075, 2373, 2374, 2389, 2388, 2598, 2599, 2614, 2613 2076, 2374, 2375, 2390, 2389, 2599, 2600, 2615, 2614 2077, 2375, 2376, 2391, 2390, 2600, 2601, 2616, 2615 2078, 2376, 2377, 2392, 2391, 2601, 2602, 2617, 2616 2079, 2377, 2378, 2393, 2392, 2602, 2603, 2618, 2617 2080, 2378, 2379, 2394, 2393, 2603, 2604, 2619, 2618 2081, 2379, 2380, 2395, 2394, 2604, 2605, 2620, 2619 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3006, 3216, 3217, 3232, 3231 2611, 2992, 2993, 3008, 3007, 3217, 3218, 3233, 3232 2612, 2993, 2994, 3009, 3008, 3218, 3219, 3234, 3233 2613, 2994, 2995, 3010, 3009, 3219, 3220, 3235, 3234 2614, 2995, 2996, 3011, 3010, 3220, 3221, 3236, 3235 2615, 2996, 2997, 3012, 3011, 3221, 3222, 3237, 3236 2616, 2997, 2998, 3013, 3012, 3222, 3223, 3238, 3237 2617, 2998, 2999, 3014, 3013, 3223, 3224, 3239, 3238 2618, 2999, 3000, 3015, 3014, 3224, 3225, 3240, 3239 2619, 3001, 3002, 3017, 3016, 3226, 3227, 3242, 3241 2620, 3002, 3003, 3018, 3017, 3227, 3228, 3243, 3242 2621, 3003, 3004, 3019, 3018, 3228, 3229, 3244, 3243 2622, 3004, 3005, 3020, 3019, 3229, 3230, 3245, 3244 2623, 3005, 3006, 3021, 3020, 3230, 3231, 3246, 3245 2624, 3006, 3007, 3022, 3021, 3231, 3232, 3247, 3246 2625, 3007, 3008, 3023, 3022, 3232, 3233, 3248, 3247 2626, 3008, 3009, 3024, 3023, 3233, 3234, 3249, 3248 2627, 3009, 3010, 3025, 3024, 3234, 3235, 3250, 3249 2628, 3010, 3011, 3026, 3025, 3235, 3236, 3251, 3250 2629, 3011, 3012, 3027, 3026, 3236, 3237, 3252, 3251 2630, 3012, 3013, 3028, 3027, 3237, 3238, 3253, 3252 2631, 3013, 3014, 3029, 3028, 3238, 3239, 3254, 3253 2632, 3014, 3015, 3030, 3029, 3239, 3240, 3255, 3254 2633, 3016, 3017, 3032, 3031, 3241, 3242, 3257, 3256 2634, 3017, 3018, 3033, 3032, 3242, 3243, 3258, 3257 2635, 3018, 3019, 3034, 3033, 3243, 3244, 3259, 3258 2636, 3019, 3020, 3035, 3034, 3244, 3245, 3260, 3259 2637, 3020, 3021, 3036, 3035, 3245, 3246, 3261, 3260 2638, 3021, 3022, 3037, 3036, 3246, 3247, 3262, 3261 2639, 3022, 3023, 3038, 3037, 3247, 3248, 3263, 3262 2640, 3023, 3024, 3039, 3038, 3248, 3249, 3264, 3263 2641, 3024, 3025, 3040, 3039, 3249, 3250, 3265, 3264 2642, 3025, 3026, 3041, 3040, 3250, 3251, 3266, 3265 2643, 3026, 3027, 3042, 3041, 3251, 3252, 3267, 3266 2644, 3027, 3028, 3043, 3042, 3252, 3253, 3268, 3267 2645, 3028, 3029, 3044, 3043, 3253, 3254, 3269, 3268 2646, 3029, 3030, 3045, 3044, 3254, 3255, 3270, 3269 2647, 3031, 3032, 3047, 3046, 3256, 3257, 3272, 3271 2648, 3032, 3033, 3048, 3047, 3257, 3258, 3273, 3272 2649, 3033, 3034, 3049, 3048, 3258, 3259, 3274, 3273 2650, 3034, 3035, 3050, 3049, 3259, 3260, 3275, 3274 2651, 3035, 3036, 3051, 3050, 3260, 3261, 3276, 3275 2652, 3036, 3037, 3052, 3051, 3261, 3262, 3277, 3276 2653, 3037, 3038, 3053, 3052, 3262, 3263, 3278, 3277 2654, 3038, 3039, 3054, 3053, 3263, 3264, 3279, 3278 2655, 3039, 3040, 3055, 3054, 3264, 3265, 3280, 3279 2656, 3040, 3041, 3056, 3055, 3265, 3266, 3281, 3280 2657, 3041, 3042, 3057, 3056, 3266, 3267, 3282, 3281 2658, 3042, 3043, 3058, 3057, 3267, 3268, 3283, 3282 2659, 3043, 3044, 3059, 3058, 3268, 3269, 3284, 3283 2660, 3044, 3045, 3060, 3059, 3269, 3270, 3285, 3284 2661, 3046, 3047, 3062, 3061, 3271, 3272, 3287, 3286 2662, 3047, 3048, 3063, 3062, 3272, 3273, 3288, 3287 2663, 3048, 3049, 3064, 3063, 3273, 3274, 3289, 3288 2664, 3049, 3050, 3065, 3064, 3274, 3275, 3290, 3289 2665, 3050, 3051, 3066, 3065, 3275, 3276, 3291, 3290 2666, 3051, 3052, 3067, 3066, 3276, 3277, 3292, 3291 2667, 3052, 3053, 3068, 3067, 3277, 3278, 3293, 3292 2668, 3053, 3054, 3069, 3068, 3278, 3279, 3294, 3293 2669, 3054, 3055, 3070, 3069, 3279, 3280, 3295, 3294 2670, 3055, 3056, 3071, 3070, 3280, 3281, 3296, 3295 2671, 3056, 3057, 3072, 3071, 3281, 3282, 3297, 3296 2672, 3057, 3058, 3073, 3072, 3282, 3283, 3298, 3297 2673, 3058, 3059, 3074, 3073, 3283, 3284, 3299, 3298 2674, 3059, 3060, 3075, 3074, 3284, 3285, 3300, 3299 2675, 3061, 3062, 3077, 3076, 3286, 3287, 3302, 3301 2676, 3062, 3063, 3078, 3077, 3287, 3288, 3303, 3302 2677, 3063, 3064, 3079, 3078, 3288, 3289, 3304, 3303 2678, 3064, 3065, 3080, 3079, 3289, 3290, 3305, 3304 2679, 3065, 3066, 3081, 3080, 3290, 3291, 3306, 3305 2680, 3066, 3067, 3082, 3081, 3291, 3292, 3307, 3306 2681, 3067, 3068, 3083, 3082, 3292, 3293, 3308, 3307 2682, 3068, 3069, 3084, 3083, 3293, 3294, 3309, 3308 2683, 3069, 3070, 3085, 3084, 3294, 3295, 3310, 3309 2684, 3070, 3071, 3086, 3085, 3295, 3296, 3311, 3310 2685, 3071, 3072, 3087, 3086, 3296, 3297, 3312, 3311 2686, 3072, 3073, 3088, 3087, 3297, 3298, 3313, 3312 2687, 3073, 3074, 3089, 3088, 3298, 3299, 3314, 3313 2688, 3074, 3075, 3090, 3089, 3299, 3300, 3315, 3314 2689, 3076, 3077, 3092, 3091, 3301, 3302, 3317, 3316 2690, 3077, 3078, 3093, 3092, 3302, 3303, 3318, 3317 2691, 3078, 3079, 3094, 3093, 3303, 3304, 3319, 3318 2692, 3079, 3080, 3095, 3094, 3304, 3305, 3320, 3319 2693, 3080, 3081, 3096, 3095, 3305, 3306, 3321, 3320 2694, 3081, 3082, 3097, 3096, 3306, 3307, 3322, 3321 2695, 3082, 3083, 3098, 3097, 3307, 3308, 3323, 3322 2696, 3083, 3084, 3099, 3098, 3308, 3309, 3324, 3323 2697, 3084, 3085, 3100, 3099, 3309, 3310, 3325, 3324 2698, 3085, 3086, 3101, 3100, 3310, 3311, 3326, 3325 2699, 3086, 3087, 3102, 3101, 3311, 3312, 3327, 3326 2700, 3087, 3088, 3103, 3102, 3312, 3313, 3328, 3327 2701, 3088, 3089, 3104, 3103, 3313, 3314, 3329, 3328 2702, 3089, 3090, 3105, 3104, 3314, 3315, 3330, 3329 2703, 3091, 3092, 3107, 3106, 3316, 3317, 3332, 3331 2704, 3092, 3093, 3108, 3107, 3317, 3318, 3333, 3332 2705, 3093, 3094, 3109, 3108, 3318, 3319, 3334, 3333 2706, 3094, 3095, 3110, 3109, 3319, 3320, 3335, 3334 2707, 3095, 3096, 3111, 3110, 3320, 3321, 3336, 3335 2708, 3096, 3097, 3112, 3111, 3321, 3322, 3337, 3336 2709, 3097, 3098, 3113, 3112, 3322, 3323, 3338, 3337 2710, 3098, 3099, 3114, 3113, 3323, 3324, 3339, 3338 2711, 3099, 3100, 3115, 3114, 3324, 3325, 3340, 3339 2712, 3100, 3101, 3116, 3115, 3325, 3326, 3341, 3340 2713, 3101, 3102, 3117, 3116, 3326, 3327, 3342, 3341 2714, 3102, 3103, 3118, 3117, 3327, 3328, 3343, 3342 2715, 3103, 3104, 3119, 3118, 3328, 3329, 3344, 3343 2716, 3104, 3105, 3120, 3119, 3329, 3330, 3345, 3344 2717, 3106, 3107, 3122, 3121, 3331, 3332, 3347, 3346 2718, 3107, 3108, 3123, 3122, 3332, 3333, 3348, 3347 2719, 3108, 3109, 3124, 3123, 3333, 3334, 3349, 3348 2720, 3109, 3110, 3125, 3124, 3334, 3335, 3350, 3349 2721, 3110, 3111, 3126, 3125, 3335, 3336, 3351, 3350 2722, 3111, 3112, 3127, 3126, 3336, 3337, 3352, 3351 2723, 3112, 3113, 3128, 3127, 3337, 3338, 3353, 3352 2724, 3113, 3114, 3129, 3128, 3338, 3339, 3354, 3353 2725, 3114, 3115, 3130, 3129, 3339, 3340, 3355, 3354 2726, 3115, 3116, 3131, 3130, 3340, 3341, 3356, 3355 2727, 3116, 3117, 3132, 3131, 3341, 3342, 3357, 3356 2728, 3117, 3118, 3133, 3132, 3342, 3343, 3358, 3357 2729, 3118, 3119, 3134, 3133, 3343, 3344, 3359, 3358 2730, 3119, 3120, 3135, 3134, 3344, 3345, 3360, 3359 2731, 3121, 3122, 3137, 3136, 3346, 3347, 3362, 3361 2732, 3122, 3123, 3138, 3137, 3347, 3348, 3363, 3362 2733, 3123, 3124, 3139, 3138, 3348, 3349, 3364, 3363 2734, 3124, 3125, 3140, 3139, 3349, 3350, 3365, 3364 2735, 3125, 3126, 3141, 3140, 3350, 3351, 3366, 3365 2736, 3126, 3127, 3142, 3141, 3351, 3352, 3367, 3366 2737, 3127, 3128, 3143, 3142, 3352, 3353, 3368, 3367 2738, 3128, 3129, 3144, 3143, 3353, 3354, 3369, 3368 2739, 3129, 3130, 3145, 3144, 3354, 3355, 3370, 3369 2740, 3130, 3131, 3146, 3145, 3355, 3356, 3371, 3370 2741, 3131, 3132, 3147, 3146, 3356, 3357, 3372, 3371 2742, 3132, 3133, 3148, 3147, 3357, 3358, 3373, 3372 2743, 3133, 3134, 3149, 3148, 3358, 3359, 3374, 3373 2744, 3134, 3135, 3150, 3149, 3359, 3360, 3375, 3374 *Elset, elset=GRAIN-1 85, 86, 87, 88, 89, 99, 100, 101, 102 103, 104, 105, 106, 113, 114, 115, 116, 117 118, 119, 120, 127, 128, 129, 130, 131, 132 133, 134, 135, 141, 142, 143, 144, 145, 146 147, 148, 149, 155, 156, 157, 158, 159, 160 161, 162, 163, 169, 170, 171, 172, 173, 174 175, 176, 177, 183, 184, 185, 186, 187, 188 189, 190, 281, 282, 283, 284, 285, 286, 295 296, 297, 298, 299, 300, 301, 302, 309, 310 311, 312, 313, 314, 315, 316, 323, 324, 325 326, 327, 328, 329, 330, 331, 337, 338, 339 340, 341, 342, 343, 344, 345, 351, 352, 353 354, 355, 356, 357, 358, 359, 365, 366, 367 368, 369, 370, 371, 372, 373, 379, 380, 381 382, 383, 384, 385, 386, 387, 477, 478, 479 480, 481, 482, 483, 491, 492, 493, 494, 495 496, 497, 498, 505, 506, 507, 508, 509, 510 511, 512, 519, 520, 521, 522, 523, 524, 525 526, 527, 533, 534, 535, 536, 537, 538, 539 540, 541, 547, 548, 549, 550, 551, 552, 553 554, 555, 561, 562, 563, 564, 565, 566, 567 568, 569, 575, 576, 577, 578, 579, 580, 581 582, 583, 673, 674, 675, 676, 677, 678, 679 687, 688, 689, 690, 691, 692, 693, 701, 702 703, 704, 705, 706, 707, 708, 715, 716, 717 718, 719, 720, 721, 722, 723, 729, 730, 731 732, 733, 734, 735, 736, 737, 743, 744, 745 746, 747, 748, 749, 750, 751, 757, 758, 759 760, 761, 762, 763, 764, 765, 771, 772, 773 774, 775, 776, 777, 778, 779, 869, 870, 871 872, 873, 874, 883, 884, 885, 886, 887, 888 889, 897, 898, 899, 900, 901, 902, 903, 904 911, 912, 913, 914, 915, 916, 917, 918, 925 926, 927, 928, 929, 930, 931, 932, 939, 940 941, 942, 943, 944, 945, 946, 953, 954, 955 956, 957, 958, 959, 960, 967, 968, 969, 970 971, 972, 973, 974, 1066, 1067, 1068, 1069, 1079 1080, 1081, 1082, 1083, 1084, 1085, 1093, 1094, 1095 1096, 1097, 1098, 1099, 1107, 1108, 1109, 1110, 1111 1112, 1113, 1114, 1121, 1122, 1123, 1124, 1125, 1126 1127, 1128, 1135, 1136, 1137, 1138, 1139, 1140, 1141 1142, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1275, 1276 1277, 1278, 1279, 1280, 1289, 1290, 1291, 1292, 1293 1294, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1318 1319, 1320, 1321, 1322, 1323, 1333, 1334, 1335, 1336 1337, 1348, 1349, 1350, 1362, 1363, 1364, *Elset, elset=GRAIN-2 827, 841, 842, 855, 856, 981, 982, 995, 996 997, 1009, 1010, 1011, 1012, 1023, 1024, 1025, 1026 1037, 1038, 1039, 1040, 1041, 1051, 1052, 1053, 1054 1055, 1065, 1177, 1178, 1179, 1180, 1181, 1191, 1192 1193, 1194, 1195, 1196, 1205, 1206, 1207, 1208, 1209 1210, 1219, 1220, 1221, 1222, 1223, 1224, 1233, 1234 1235, 1236, 1237, 1238, 1247, 1248, 1249, 1250, 1251 1261, 1262, 1263, 1264, 1265, 1373, 1374, 1375, 1376 1377, 1387, 1388, 1389, 1390, 1391, 1401, 1402, 1403 1404, 1405, 1406, 1415, 1416, 1417, 1418, 1419, 1420 1429, 1430, 1431, 1432, 1433, 1434, 1443, 1444, 1445 1446, 1447, 1457, 1458, 1459, 1460, 1569, 1570, 1571 1572, 1583, 1584, 1585, 1586, 1597, 1598, 1599, 1600 1601, 1611, 1612, 1613, 1614, 1615, 1625, 1626, 1627 1628, 1629, 1639, 1640, 1641, 1642, 1653, 1765, 1766 1767, 1779, 1780, 1781, 1793, 1794, 1795, 1807, 1808 1809, 1810, 1821, 1822, 1823, 1824, *Elset, elset=GRAIN-3 2041, 2042, 2055, 2056, 2057, 2068, 2069, 2070, 2071 2083, 2236, 2237, 2238, 2239, 2240, 2250, 2251, 2252 2253, 2254, 2264, 2265, 2266, 2267, 2268, 2279, 2280 2432, 2433, 2434, 2435, 2436, 2446, 2447, 2448, 2449 2450, 2460, 2461, 2462, 2463, 2464, 2475, 2476, 2477 2628, 2629, 2630, 2631, 2632, 2642, 2643, 2644, 2645 2646, 2656, 2657, 2658, 2659, 2660, 2671, 2672, 2673 *Elset, elset=GRAIN-4 1324, 1338, 1339, 1351, 1352, 1353, 1365, 1366, 1367 1533, 1534, 1535, 1547, 1548, 1549, 1561, 1562, 1563 1729, 1730, 1731, 1743, 1744, 1745, 1757, 1758, 1759 *Elset, elset=GRAIN-5 907, 919, 920, 921, 933, 934, 1100, 1101, 1102 1103, 1115, 1116, 1117, 1129, 1130, 1131, 1144, 1298 1311, 1312, 1325, 1326, *Elset, elset=GRAIN-6 1295, 1296, 1297, 1310, 1478, 1479, 1491, 1492, 1493 1505, 1506, 1507, 1508, 1519, 1520, 1521, 1674, 1687 1688, 1689, 1701, 1702, 1703, 1704, 1716, 1717, *Elset, elset=GRAIN-7 1961, 1962, 1963, 1964, 1975, 1976, 1977, 1978, 1989 1990, 1991, 1992, 2003, 2004, 2005, 2006, 2017, 2018 2019, 2157, 2158, 2159, 2160, 2161, 2171, 2172, 2173 2174, 2175, 2185, 2186, 2187, 2188, 2189, 2199, 2200 2201, 2202, 2203, 2213, 2214, 2215, 2216, 2217, 2227 2228, 2229, 2353, 2354, 2355, 2356, 2357, 2367, 2368 2369, 2370, 2371, 2381, 2382, 2383, 2384, 2385, 2395 2396, 2397, 2398, 2399, 2409, 2410, 2411, 2412, 2413 2423, 2424, 2425, 2426, 2427, 2437, 2438, 2549, 2550 2551, 2552, 2553, 2563, 2564, 2565, 2566, 2567, 2577 2578, 2579, 2580, 2581, 2591, 2592, 2593, 2594, 2595 2605, 2606, 2607, 2608, 2609, 2619, 2620, 2621, 2622 2623, 2633, 2634, 2635, 2636, *Elset, elset=GRAIN-8 848, 849, 862, 863, 875, 876, 1030, 1031, 1043 1044, 1045, 1046, 1056, 1057, 1058, 1059, 1060, 1070 1071, 1072, 1073, 1074, 1086, 1087, 1225, 1239, 1240 1241, 1242, 1252, 1253, 1254, 1255, 1256, 1266, 1267 1268, 1269, 1281, 1282, 1283, 1435, 1436, 1449, 1450 1451, 1463, 1464, 1465, *Elset, elset=GRAIN-9 988, 989, 990, 1002, 1003, 1016, 1017, 1182, 1183 1184, 1185, 1186, 1197, 1198, 1199, 1200, 1211, 1212 1213, 1214, 1226, 1227, 1228, 1378, 1379, 1380, 1381 1382, 1393, 1394, 1395, 1396, 1407, 1408, 1409, 1410 1421, 1422, 1423, 1424, 1437, 1575, 1576, 1577, 1578 1579, 1589, 1590, 1591, 1592, 1604, 1605, 1606, 1618 1619, 1620, 1772, 1773, 1774, 1786, 1787, 1788, 1800 1801, *Elset, elset=GRAIN-10 1132, 1133, 1134, 1145, 1146, 1147, 1148, 1159, 1160 1161, 1162, 1173, 1174, 1175, 1176, 1313, 1314, 1315 1316, 1327, 1328, 1329, 1330, 1340, 1341, 1342, 1343 1344, 1354, 1355, 1356, 1357, 1358, 1368, 1369, 1370 1371, 1372, 1496, 1509, 1510, 1511, 1512, 1522, 1523 1524, 1525, 1526, 1536, 1537, 1538, 1539, 1540, 1550 1551, 1552, 1553, 1554, 1564, 1565, 1566, 1567, 1568 1705, 1706, 1707, 1708, 1718, 1719, 1720, 1721, 1722 1732, 1733, 1734, 1735, 1736, 1746, 1747, 1748, 1749 1750, 1760, 1761, 1762, 1763, 1764, 1915, 1916, 1929 1930, 1931, 1942, 1943, 1944, 1945, 1946, 1956, 1957 1958, 1959, 1960, *Elset, elset=GRAIN-11 110, 111, 112, 123, 124, 125, 126, 136, 137 138, 139, 140, 150, 151, 152, 153, 154, 164 165, 166, 167, 168, 178, 179, 180, 181, 182 191, 192, 193, 194, 195, 196, 306, 307, 308 319, 320, 321, 322, 332, 333, 334, 335, 336 346, 347, 348, 349, 350, 360, 361, 362, 363 364, 374, 375, 376, 377, 378, 388, 389, 390 391, 392, 503, 504, 515, 516, 517, 518, 528 529, 530, 531, 532, 542, 543, 544, 545, 546 556, 557, 558, 559, 560, 570, 571, 572, 573 574, 584, 585, 586, 587, 588, 712, 713, 714 724, 725, 726, 727, 728, 738, 739, 740, 741 742, 752, 753, 754, 755, 756, 766, 767, 768 769, 770, 780, 781, 782, 783, 784, 922, 923 924, 935, 936, 937, 938, 949, 950, 951, 952 963, 964, 965, 966, 977, 978, 979, 980, *Elset, elset=GRAIN-12 1392, 1573, 1574, 1587, 1588, 1602, 1603, 1616, 1617 1630, 1631, 1768, 1769, 1770, 1771, 1782, 1783, 1784 1785, 1796, 1797, 1798, 1799, 1811, 1812, 1813, 1825 1826, 1827, 1965, 1966, 1979, 1980, 1993, 1994, 2007 2008, 2021, 2022, *Elset, elset=GRAIN-13 699, 700, 881, 882, 894, 895, 896, 908, 909 910, 1076, 1077, 1078, 1090, 1091, 1092, 1104, 1105 1106, 1118, 1119, 1120, 1272, 1273, 1274, 1286, 1287 1288, 1300, 1301, 1302, *Elset, elset=GRAIN-14 79, 92, 93, 94, 95, 107, 108, 109, 121 122, 275, 288, 289, 290, 291, 303, 304, 305 317, 318, 471, 484, 485, 486, 487, 499, 500 501, 502, 513, 514, 667, 680, 681, 682, 683 694, 695, 696, 697, 698, 709, 710, 711, 864 877, 878, 879, 890, 891, 892, 893, 905, 906 *Elset, elset=GRAIN-15 1677, 1690, 1691, 1873, 1886, 1887, 1901, *Elset, elset=GRAIN-16 1075, 1088, 1089, 1270, 1271, 1284, 1285, 1299, 1466 1467, 1480, 1481, 1494, 1495, *Elset, elset=GRAIN-17 1715, 1882, 1883, 1884, 1885, 1896, 1897, 1898, 1899 1900, 1910, 1911, 1912, 1913, 1914, 1924, 1925, 1926 1927, 1928, 1938, 1939, 1940, 1941, 1953, 1954, 1955 2051, 2064, 2065, 2066, 2067, 2077, 2078, 2079, 2080 2081, 2082, 2091, 2092, 2093, 2094, 2095, 2096, 2105 2106, 2107, 2108, 2109, 2110, 2119, 2120, 2121, 2122 2123, 2124, 2133, 2134, 2135, 2136, 2137, 2138, 2147 2148, 2149, 2150, 2151, 2152, 2246, 2247, 2248, 2259 2260, 2261, 2262, 2263, 2272, 2273, 2274, 2275, 2276 2277, 2278, 2287, 2288, 2289, 2290, 2291, 2292, 2301 2302, 2303, 2304, 2305, 2306, 2315, 2316, 2317, 2318 2319, 2320, 2329, 2330, 2331, 2332, 2333, 2334, 2343 2344, 2345, 2346, 2347, 2348, 2441, 2442, 2443, 2444 2455, 2456, 2457, 2458, 2459, 2469, 2470, 2471, 2472 2473, 2474, 2483, 2484, 2485, 2486, 2487, 2488, 2497 2498, 2499, 2500, 2501, 2502, 2511, 2512, 2513, 2514 2515, 2516, 2525, 2526, 2527, 2528, 2529, 2530, 2539 2540, 2541, 2542, 2543, 2544, 2637, 2638, 2639, 2640 2641, 2651, 2652, 2653, 2654, 2655, 2665, 2666, 2667 2668, 2669, 2670, 2679, 2680, 2681, 2682, 2683, 2684 2685, 2693, 2694, 2695, 2696, 2697, 2698, 2707, 2708 2709, 2710, 2711, 2712, 2721, 2722, 2723, 2724, 2725 2726, 2735, 2736, 2737, 2738, 2739, 2740, *Elset, elset=GRAIN-18 1036, 1049, 1050, 1062, 1063, 1064, 1187, 1188, 1189 1190, 1201, 1202, 1203, 1204, 1215, 1216, 1217, 1218 1229, 1230, 1231, 1232, 1243, 1244, 1245, 1246, 1257 1258, 1259, 1260, 1383, 1384, 1385, 1386, 1397, 1398 1399, 1400, 1411, 1412, 1413, 1414, 1425, 1426, 1427 1428, 1439, 1440, 1441, 1442, 1453, 1454, 1455, 1456 1580, 1581, 1582, 1593, 1594, 1595, 1596, 1607, 1608 1609, 1610, 1621, 1622, 1623, 1624, 1635, 1636, 1637 1638, *Elset, elset=GRAIN-19 1, 2, 3, 4, 5, 6, 7, 8, 9 15, 16, 17, 18, 19, 20, 21, 22, 23 29, 30, 31, 32, 33, 34, 35, 36, 37 43, 44, 45, 46, 47, 48, 49, 50, 51 57, 58, 59, 60, 61, 62, 63, 64, 65 71, 72, 73, 74, 75, 76, 77, 78, 90 91, 197, 198, 199, 200, 201, 202, 203, 204 205, 211, 212, 213, 214, 215, 216, 217, 218 219, 225, 226, 227, 228, 229, 230, 231, 232 233, 239, 240, 241, 242, 243, 244, 245, 246 247, 253, 254, 255, 256, 257, 258, 259, 260 261, 267, 268, 269, 270, 271, 272, 273, 274 287, 393, 394, 395, 396, 397, 398, 399, 400 401, 407, 408, 409, 410, 411, 412, 413, 414 415, 421, 422, 423, 424, 425, 426, 427, 428 429, 435, 436, 437, 438, 439, 440, 441, 442 449, 450, 451, 452, 453, 454, 455, 456, 463 464, 465, 466, 467, 468, 469, 470, 589, 590 591, 592, 593, 594, 595, 596, 603, 604, 605 606, 607, 608, 609, 610, 617, 618, 619, 620 621, 622, 623, 624, 631, 632, 633, 634, 635 636, 637, 638, 645, 646, 647, 648, 649, 650 651, 652, 659, 660, 661, 662, 663, 664, 665 666, 785, 786, 787, 788, 789, 790, 791, 792 799, 800, 801, 802, 803, 804, 805, 806, 813 814, 815, 816, 817, 818, 819, 820, 828, 829 830, 831, 832, 833, 834, 843, 844, 845, 846 847, 857, 858, 859, 860, 861, 983, 984, 985 986, 987, 998, 999, 1000, 1001, 1013, 1014, 1015 1027, 1028, 1029, 1042, *Elset, elset=GRAIN-20 10, 11, 12, 13, 14, 24, 25, 26, 27 28, 38, 39, 40, 41, 42, 52, 53, 54 55, 56, 66, 67, 68, 69, 70, 80, 81 82, 83, 84, 96, 97, 98, 206, 207, 208 209, 210, 220, 221, 222, 223, 224, 234, 235 236, 237, 238, 248, 249, 250, 251, 252, 262 263, 264, 265, 266, 276, 277, 278, 279, 280 292, 293, 294, 402, 403, 404, 405, 406, 416 417, 418, 419, 420, 430, 431, 432, 433, 434 443, 444, 445, 446, 447, 448, 457, 458, 459 460, 461, 462, 472, 473, 474, 475, 476, 488 489, 490, 597, 598, 599, 600, 601, 602, 611 612, 613, 614, 615, 616, 625, 626, 627, 628 629, 630, 639, 640, 641, 642, 643, 644, 653 654, 655, 656, 657, 658, 668, 669, 670, 671 672, 684, 685, 686, 793, 794, 795, 796, 797 798, 807, 808, 809, 810, 811, 812, 821, 822 823, 824, 825, 826, 835, 836, 837, 838, 839 840, 850, 851, 852, 853, 854, 865, 866, 867 868, 880, 991, 992, 993, 994, 1004, 1005, 1006 1007, 1008, 1018, 1019, 1020, 1021, 1022, 1032, 1033 1034, 1035, 1047, 1048, 1061, *Elset, elset=GRAIN-21 1775, 1776, 1777, 1778, 1789, 1790, 1791, 1792, 1802 1803, 1804, 1805, 1806, 1817, 1818, 1819, 1820, 1832 1833, 1834, 1970, 1971, 1972, 1973, 1974, 1984, 1985 1986, 1987, 1988, 1998, 1999, 2000, 2001, 2002, 2012 2013, 2014, 2015, 2016, 2027, 2028, 2029, 2030, 2043 2044, 2166, 2167, 2168, 2169, 2170, 2180, 2181, 2182 2183, 2184, 2194, 2195, 2196, 2197, 2198, 2209, 2210 2211, 2212, 2223, 2224, 2225, 2226, 2362, 2363, 2364 2365, 2366, 2376, 2377, 2378, 2379, 2380, 2391, 2392 2393, 2394, 2405, 2406, 2407, 2408, 2419, 2420, 2421 2422, 2558, 2559, 2560, 2561, 2562, 2572, 2573, 2574 2575, 2576, 2587, 2588, 2589, 2590, 2601, 2602, 2603 2604, 2615, 2616, 2617, 2618, *Elset, elset=GRAIN-22 1468, 1469, 1470, 1482, 1483, 1484, 1497, 1498, 1650 1651, 1652, 1664, 1665, 1666, 1678, 1679, 1680, 1692 1693, 1694, 1846, 1847, 1848, 1860, 1861, 1862, 1874 1875, 1876, 1888, 1889, 1890, 2058, 2072, *Elset, elset=GRAIN-23 1438, 1452, 1632, 1633, 1634, 1646, 1647, 1648, 1649 1660, 1661, 1662, 1663, 1675, 1676, 1815, 1816, 1828 1829, 1830, 1831, 1842, 1843, 1844, 1845, 1856, 1857 1858, 1859, 1870, 1871, 1872, 2026, 2039, 2040, 2052 2053, 2054, *Elset, elset=GRAIN-24 947, 948, 961, 962, 975, 976, 1143, 1157, 1158 1170, 1171, 1172, *Elset, elset=GRAIN-25 1814, 1967, 1968, 1969, 1981, 1982, 1983, 1995, 1996 1997, 2009, 2010, 2011, 2023, 2024, 2025, 2036, 2037 2038, 2162, 2163, 2164, 2165, 2176, 2177, 2178, 2179 2190, 2191, 2192, 2193, 2204, 2205, 2206, 2207, 2208 2218, 2219, 2220, 2221, 2222, 2232, 2233, 2234, 2235 2249, 2358, 2359, 2360, 2361, 2372, 2373, 2374, 2375 2386, 2387, 2388, 2389, 2390, 2400, 2401, 2402, 2403 2404, 2414, 2415, 2416, 2417, 2418, 2428, 2429, 2430 2431, 2445, 2554, 2555, 2556, 2557, 2568, 2569, 2570 2571, 2582, 2583, 2584, 2585, 2586, 2596, 2597, 2598 2599, 2600, 2610, 2611, 2612, 2613, 2614, 2624, 2625 2626, 2627, *Elset, elset=GRAIN-26 1902, 1903, 1904, 1917, 1918, 1932, 2084, 2085, 2086 2097, 2098, 2099, 2100, 2111, 2112, 2113, 2114, 2125 2126, 2127, 2128, 2139, 2140, 2141, 2142, 2153, 2154 2155, 2156, 2281, 2282, 2293, 2294, 2295, 2296, 2307 2308, 2309, 2310, 2321, 2322, 2323, 2324, 2335, 2336 2337, 2338, 2349, 2350, 2351, 2352, 2478, 2489, 2490 2491, 2492, 2503, 2504, 2505, 2506, 2517, 2518, 2519 2520, 2531, 2532, 2533, 2534, 2545, 2546, 2547, 2548 2674, 2686, 2687, 2688, 2699, 2700, 2701, 2702, 2713 2714, 2715, 2716, 2727, 2728, 2729, 2730, 2741, 2742 2743, 2744, *Elset, elset=GRAIN-27 1317, 1331, 1332, 1345, 1346, 1347, 1359, 1360, 1361 1471, 1472, 1473, 1474, 1485, 1486, 1487, 1488, 1489 1499, 1500, 1501, 1502, 1503, 1504, 1513, 1514, 1515 1516, 1517, 1518, 1527, 1528, 1529, 1530, 1531, 1532 1541, 1542, 1543, 1544, 1545, 1546, 1555, 1556, 1557 1558, 1559, 1560, 1667, 1668, 1669, 1670, 1681, 1682 1683, 1684, 1685, 1695, 1696, 1697, 1698, 1699, 1700 1709, 1710, 1711, 1712, 1713, 1714, 1723, 1724, 1725 1726, 1727, 1728, 1737, 1738, 1739, 1740, 1741, 1742 1751, 1752, 1753, 1754, 1755, 1756, 1877, 1878, 1879 1880, 1881, 1891, 1892, 1893, 1894, 1895, 1905, 1906 1907, 1908, 1909, 1919, 1920, 1921, 1922, 1923, 1933 1934, 1935, 1936, 1937, 1947, 1948, 1949, 1950, 1951 1952, 2088, 2089, 2090, 2102, 2103, 2104, 2115, 2116 2117, 2118, 2129, 2130, 2131, 2132, 2143, 2144, 2145 2146, *Elset, elset=GRAIN-28 1654, 1655, 1656, 1835, 1836, 1837, 1838, 1839, 1849 1850, 1851, 1852, 1853, 1863, 1864, 1865, 1866, 1867 2020, 2031, 2032, 2033, 2034, 2035, 2045, 2046, 2047 2048, 2049, 2059, 2060, 2061, 2062, 2063, 2075, 2076 2230, 2231, 2241, 2242, 2243, 2244, 2245, 2257, 2258 2439, 2440, *Elset, elset=GRAIN-29 2073, 2074, 2087, 2101, 2255, 2256, 2269, 2270, 2271 2283, 2284, 2285, 2286, 2297, 2298, 2299, 2300, 2311 2312, 2313, 2314, 2325, 2326, 2327, 2328, 2339, 2340 2341, 2342, 2451, 2452, 2453, 2454, 2465, 2466, 2467 2468, 2479, 2480, 2481, 2482, 2493, 2494, 2495, 2496 2507, 2508, 2509, 2510, 2521, 2522, 2523, 2524, 2535 2536, 2537, 2538, 2647, 2648, 2649, 2650, 2661, 2662 2663, 2664, 2675, 2676, 2677, 2678, 2689, 2690, 2691 2692, 2703, 2704, 2705, 2706, 2717, 2718, 2719, 2720 2731, 2732, 2733, 2734, *Elset, elset=GRAIN-30 1448, 1461, 1462, 1475, 1476, 1477, 1490, 1643, 1644 1645, 1657, 1658, 1659, 1671, 1672, 1673, 1686, 1840 1841, 1854, 1855, 1868, 1869, 2050, *Elset, elset=Phase-1 1, 2, 3, 4, 5, 6, 7, 8, 9 10, 11, 12, 13, 14, 15, 16, 17, 18 19, 20, 21, 22, 23, 24, 25, 26, 27 28, 29, 30, 31, 32, 33, 34, 35, 36 37, 38, 39, 40, 41, 42, 43, 44, 45 46, 47, 48, 49, 50, 51, 52, 53, 54 55, 56, 57, 58, 59, 60, 61, 62, 63 64, 65, 66, 67, 68, 69, 70, 71, 72 73, 74, 75, 76, 77, 78, 79, 80, 81 82, 83, 84, 85, 86, 87, 88, 89, 90 91, 92, 93, 94, 95, 96, 97, 98, 99 100, 101, 102, 103, 104, 105, 106, 107, 108 109, 110, 111, 112, 113, 114, 115, 116, 117 118, 119, 120, 121, 122, 123, 124, 125, 126 127, 128, 129, 130, 131, 132, 133, 134, 135 136, 137, 138, 139, 140, 141, 142, 143, 144 145, 146, 147, 148, 149, 150, 151, 152, 153 154, 155, 156, 157, 158, 159, 160, 161, 162 163, 164, 165, 166, 167, 168, 169, 170, 171 172, 173, 174, 175, 176, 177, 178, 179, 180 181, 182, 183, 184, 185, 186, 187, 188, 189 190, 191, 192, 193, 194, 195, 196, 197, 198 199, 200, 201, 202, 203, 204, 205, 206, 207 208, 209, 210, 211, 212, 213, 214, 215, 216 217, 218, 219, 220, 221, 222, 223, 224, 225 226, 227, 228, 229, 230, 231, 232, 233, 234 235, 236, 237, 238, 239, 240, 241, 242, 243 244, 245, 246, 247, 248, 249, 250, 251, 252 253, 254, 255, 256, 257, 258, 259, 260, 261 262, 263, 264, 265, 266, 267, 268, 269, 270 271, 272, 273, 274, 275, 276, 277, 278, 279 280, 281, 282, 283, 284, 285, 286, 287, 288 289, 290, 291, 292, 293, 294, 295, 296, 297 298, 299, 300, 301, 302, 303, 304, 305, 306 307, 308, 309, 310, 311, 312, 313, 314, 315 316, 317, 318, 319, 320, 321, 322, 323, 324 325, 326, 327, 328, 329, 330, 331, 332, 333 334, 335, 336, 337, 338, 339, 340, 341, 342 343, 344, 345, 346, 347, 348, 349, 350, 351 352, 353, 354, 355, 356, 357, 358, 359, 360 361, 362, 363, 364, 365, 366, 367, 368, 369 370, 371, 372, 373, 374, 375, 376, 377, 378 379, 380, 381, 382, 383, 384, 385, 386, 387 388, 389, 390, 391, 392, 393, 394, 395, 396 397, 398, 399, 400, 401, 402, 403, 404, 405 406, 407, 408, 409, 410, 411, 412, 413, 414 415, 416, 417, 418, 419, 420, 421, 422, 423 424, 425, 426, 427, 428, 429, 430, 431, 432 433, 434, 435, 436, 437, 438, 439, 440, 441 442, 443, 444, 445, 446, 447, 448, 449, 450 451, 452, 453, 454, 455, 456, 457, 458, 459 460, 461, 462, 463, 464, 465, 466, 467, 468 469, 470, 471, 472, 473, 474, 475, 476, 477 478, 479, 480, 481, 482, 483, 484, 485, 486 487, 488, 489, 490, 491, 492, 493, 494, 495 496, 497, 498, 499, 500, 501, 502, 503, 504 505, 506, 507, 508, 509, 510, 511, 512, 513 514, 515, 516, 517, 518, 519, 520, 521, 522 523, 524, 525, 526, 527, 528, 529, 530, 531 532, 533, 534, 535, 536, 537, 538, 539, 540 541, 542, 543, 544, 545, 546, 547, 548, 549 550, 551, 552, 553, 554, 555, 556, 557, 558 559, 560, 561, 562, 563, 564, 565, 566, 567 568, 569, 570, 571, 572, 573, 574, 575, 576 577, 578, 579, 580, 581, 582, 583, 584, 585 586, 587, 588, 589, 590, 591, 592, 593, 594 595, 596, 597, 598, 599, 600, 601, 602, 603 604, 605, 606, 607, 608, 609, 610, 611, 612 613, 614, 615, 616, 617, 618, 619, 620, 621 622, 623, 624, 625, 626, 627, 628, 629, 630 631, 632, 633, 634, 635, 636, 637, 638, 639 640, 641, 642, 643, 644, 645, 646, 647, 648 649, 650, 651, 652, 653, 654, 655, 656, 657 658, 659, 660, 661, 662, 663, 664, 665, 666 667, 668, 669, 670, 671, 672, 673, 674, 675 676, 677, 678, 679, 680, 681, 682, 683, 684 685, 686, 687, 688, 689, 690, 691, 692, 693 694, 695, 696, 697, 698, 699, 700, 701, 702 703, 704, 705, 706, 707, 708, 709, 710, 711 712, 713, 714, 715, 716, 717, 718, 719, 720 721, 722, 723, 724, 725, 726, 727, 728, 729 730, 731, 732, 733, 734, 735, 736, 737, 738 739, 740, 741, 742, 743, 744, 745, 746, 747 748, 749, 750, 751, 752, 753, 754, 755, 756 757, 758, 759, 760, 761, 762, 763, 764, 765 766, 767, 768, 769, 770, 771, 772, 773, 774 775, 776, 777, 778, 779, 780, 781, 782, 783 784, 785, 786, 787, 788, 789, 790, 791, 792 793, 794, 795, 796, 797, 798, 799, 800, 801 802, 803, 804, 805, 806, 807, 808, 809, 810 811, 812, 813, 814, 815, 816, 817, 818, 819 820, 821, 822, 823, 824, 825, 826, 827, 828 829, 830, 831, 832, 833, 834, 835, 836, 837 838, 839, 840, 841, 842, 843, 844, 845, 846 847, 848, 849, 850, 851, 852, 853, 854, 855 856, 857, 858, 859, 860, 861, 862, 863, 864 865, 866, 867, 868, 869, 870, 871, 872, 873 874, 875, 876, 877, 878, 879, 880, 881, 882 883, 884, 885, 886, 887, 888, 889, 890, 891 892, 893, 894, 895, 896, 897, 898, 899, 900 901, 902, 903, 904, 905, 906, 907, 908, 909 910, 911, 912, 913, 914, 915, 916, 917, 918 919, 920, 921, 922, 923, 924, 925, 926, 927 928, 929, 930, 931, 932, 933, 934, 935, 936 937, 938, 939, 940, 941, 942, 943, 944, 945 946, 947, 948, 949, 950, 951, 952, 953, 954 955, 956, 957, 958, 959, 960, 961, 962, 963 964, 965, 966, 967, 968, 969, 970, 971, 972 973, 974, 975, 976, 977, 978, 979, 980, 981 982, 983, 984, 985, 986, 987, 988, 989, 990 991, 992, 993, 994, 995, 996, 997, 998, 999 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, **Section: Section_Grain-1 *Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1 , **Section: Section_Grain-2 *Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2 , **Section: Section_Grain-3 *Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3 , **Section: Section_Grain-4 *Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4 , **Section: Section_Grain-5 *Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5 , **Section: Section_Grain-6 *Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6 , **Section: Section_Grain-7 *Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7 , **Section: Section_Grain-8 *Solid Section, elset=GRAIN-8, material=MATERIAL-GRAIN8 , **Section: Section_Grain-9 *Solid Section, elset=GRAIN-9, material=MATERIAL-GRAIN9 , **Section: Section_Grain-10 *Solid Section, elset=GRAIN-10, material=MATERIAL-GRAIN10 , **Section: Section_Grain-11 *Solid Section, elset=GRAIN-11, material=MATERIAL-GRAIN11 , **Section: Section_Grain-12 *Solid Section, elset=GRAIN-12, material=MATERIAL-GRAIN12 , **Section: Section_Grain-13 *Solid Section, elset=GRAIN-13, material=MATERIAL-GRAIN13 , **Section: Section_Grain-14 *Solid Section, elset=GRAIN-14, material=MATERIAL-GRAIN14 , **Section: Section_Grain-15 *Solid Section, elset=GRAIN-15, material=MATERIAL-GRAIN15 , **Section: Section_Grain-16 *Solid Section, elset=GRAIN-16, material=MATERIAL-GRAIN16 , **Section: Section_Grain-17 *Solid Section, elset=GRAIN-17, material=MATERIAL-GRAIN17 , **Section: Section_Grain-18 *Solid Section, elset=GRAIN-18, material=MATERIAL-GRAIN18 , **Section: Section_Grain-19 *Solid Section, elset=GRAIN-19, material=MATERIAL-GRAIN19 , **Section: Section_Grain-20 *Solid Section, elset=GRAIN-20, material=MATERIAL-GRAIN20 , **Section: Section_Grain-21 *Solid Section, elset=GRAIN-21, material=MATERIAL-GRAIN21 , **Section: Section_Grain-22 *Solid Section, elset=GRAIN-22, material=MATERIAL-GRAIN22 , **Section: Section_Grain-23 *Solid Section, elset=GRAIN-23, material=MATERIAL-GRAIN23 , **Section: Section_Grain-24 *Solid Section, elset=GRAIN-24, material=MATERIAL-GRAIN24 , **Section: Section_Grain-25 *Solid Section, elset=GRAIN-25, material=MATERIAL-GRAIN25 , **Section: Section_Grain-26 *Solid Section, elset=GRAIN-26, material=MATERIAL-GRAIN26 , **Section: Section_Grain-27 *Solid Section, elset=GRAIN-27, material=MATERIAL-GRAIN27 , **Section: Section_Grain-28 *Solid Section, elset=GRAIN-28, material=MATERIAL-GRAIN28 , **Section: Section_Grain-29 *Solid Section, elset=GRAIN-29, material=MATERIAL-GRAIN29 , **Section: Section_Grain-30 *Solid Section, elset=GRAIN-30, material=MATERIAL-GRAIN30 , *End Part ** **ASSEMBLY ** *Assembly, name=Assembly ** *Instance, name=NEPER-1, part=NEPER *NODE 1, 0.000000e+00, 0.000000e+00, 0.000000e+00 2, 7.142857e-02, 0.000000e+00, 0.000000e+00 3, 1.428571e-01, 0.000000e+00, 0.000000e+00 4, 2.142857e-01, 0.000000e+00, 0.000000e+00 5, 2.857143e-01, 0.000000e+00, 0.000000e+00 6, 3.571429e-01, 0.000000e+00, 0.000000e+00 7, 4.285714e-01, 0.000000e+00, 0.000000e+00 8, 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7.142857e-02, 3.571429e-01, 5.714286e-01 1878, 1.428571e-01, 3.571429e-01, 5.714286e-01 1879, 2.142857e-01, 3.571429e-01, 5.714286e-01 1880, 2.857143e-01, 3.571429e-01, 5.714286e-01 1881, 3.571429e-01, 3.571429e-01, 5.714286e-01 1882, 4.285714e-01, 3.571429e-01, 5.714286e-01 1883, 5.000000e-01, 3.571429e-01, 5.714286e-01 1884, 5.714286e-01, 3.571429e-01, 5.714286e-01 1885, 6.428571e-01, 3.571429e-01, 5.714286e-01 1886, 7.142857e-01, 3.571429e-01, 5.714286e-01 1887, 7.857143e-01, 3.571429e-01, 5.714286e-01 1888, 8.571429e-01, 3.571429e-01, 5.714286e-01 1889, 9.285714e-01, 3.571429e-01, 5.714286e-01 1890, 1.000000e+00, 3.571429e-01, 5.714286e-01 1891, 0.000000e+00, 4.285714e-01, 5.714286e-01 1892, 7.142857e-02, 4.285714e-01, 5.714286e-01 1893, 1.428571e-01, 4.285714e-01, 5.714286e-01 1894, 2.142857e-01, 4.285714e-01, 5.714286e-01 1895, 2.857143e-01, 4.285714e-01, 5.714286e-01 1896, 3.571429e-01, 4.285714e-01, 5.714286e-01 1897, 4.285714e-01, 4.285714e-01, 5.714286e-01 1898, 5.000000e-01, 4.285714e-01, 5.714286e-01 1899, 5.714286e-01, 4.285714e-01, 5.714286e-01 1900, 6.428571e-01, 4.285714e-01, 5.714286e-01 1901, 7.142857e-01, 4.285714e-01, 5.714286e-01 1902, 7.857143e-01, 4.285714e-01, 5.714286e-01 1903, 8.571429e-01, 4.285714e-01, 5.714286e-01 1904, 9.285714e-01, 4.285714e-01, 5.714286e-01 1905, 1.000000e+00, 4.285714e-01, 5.714286e-01 1906, 0.000000e+00, 5.000000e-01, 5.714286e-01 1907, 7.142857e-02, 5.000000e-01, 5.714286e-01 1908, 1.428571e-01, 5.000000e-01, 5.714286e-01 1909, 2.142857e-01, 5.000000e-01, 5.714286e-01 1910, 2.857143e-01, 5.000000e-01, 5.714286e-01 1911, 3.571429e-01, 5.000000e-01, 5.714286e-01 1912, 4.285714e-01, 5.000000e-01, 5.714286e-01 1913, 5.000000e-01, 5.000000e-01, 5.714286e-01 1914, 5.714286e-01, 5.000000e-01, 5.714286e-01 1915, 6.428571e-01, 5.000000e-01, 5.714286e-01 1916, 7.142857e-01, 5.000000e-01, 5.714286e-01 1917, 7.857143e-01, 5.000000e-01, 5.714286e-01 1918, 8.571429e-01, 5.000000e-01, 5.714286e-01 1919, 9.285714e-01, 5.000000e-01, 5.714286e-01 1920, 1.000000e+00, 5.000000e-01, 5.714286e-01 1921, 0.000000e+00, 5.714286e-01, 5.714286e-01 1922, 7.142857e-02, 5.714286e-01, 5.714286e-01 1923, 1.428571e-01, 5.714286e-01, 5.714286e-01 1924, 2.142857e-01, 5.714286e-01, 5.714286e-01 1925, 2.857143e-01, 5.714286e-01, 5.714286e-01 1926, 3.571429e-01, 5.714286e-01, 5.714286e-01 1927, 4.285714e-01, 5.714286e-01, 5.714286e-01 1928, 5.000000e-01, 5.714286e-01, 5.714286e-01 1929, 5.714286e-01, 5.714286e-01, 5.714286e-01 1930, 6.428571e-01, 5.714286e-01, 5.714286e-01 1931, 7.142857e-01, 5.714286e-01, 5.714286e-01 1932, 7.857143e-01, 5.714286e-01, 5.714286e-01 1933, 8.571429e-01, 5.714286e-01, 5.714286e-01 1934, 9.285714e-01, 5.714286e-01, 5.714286e-01 1935, 1.000000e+00, 5.714286e-01, 5.714286e-01 1936, 0.000000e+00, 6.428571e-01, 5.714286e-01 1937, 7.142857e-02, 6.428571e-01, 5.714286e-01 1938, 1.428571e-01, 6.428571e-01, 5.714286e-01 1939, 2.142857e-01, 6.428571e-01, 5.714286e-01 1940, 2.857143e-01, 6.428571e-01, 5.714286e-01 1941, 3.571429e-01, 6.428571e-01, 5.714286e-01 1942, 4.285714e-01, 6.428571e-01, 5.714286e-01 1943, 5.000000e-01, 6.428571e-01, 5.714286e-01 1944, 5.714286e-01, 6.428571e-01, 5.714286e-01 1945, 6.428571e-01, 6.428571e-01, 5.714286e-01 1946, 7.142857e-01, 6.428571e-01, 5.714286e-01 1947, 7.857143e-01, 6.428571e-01, 5.714286e-01 1948, 8.571429e-01, 6.428571e-01, 5.714286e-01 1949, 9.285714e-01, 6.428571e-01, 5.714286e-01 1950, 1.000000e+00, 6.428571e-01, 5.714286e-01 1951, 0.000000e+00, 7.142857e-01, 5.714286e-01 1952, 7.142857e-02, 7.142857e-01, 5.714286e-01 1953, 1.428571e-01, 7.142857e-01, 5.714286e-01 1954, 2.142857e-01, 7.142857e-01, 5.714286e-01 1955, 2.857143e-01, 7.142857e-01, 5.714286e-01 1956, 3.571429e-01, 7.142857e-01, 5.714286e-01 1957, 4.285714e-01, 7.142857e-01, 5.714286e-01 1958, 5.000000e-01, 7.142857e-01, 5.714286e-01 1959, 5.714286e-01, 7.142857e-01, 5.714286e-01 1960, 6.428571e-01, 7.142857e-01, 5.714286e-01 1961, 7.142857e-01, 7.142857e-01, 5.714286e-01 1962, 7.857143e-01, 7.142857e-01, 5.714286e-01 1963, 8.571429e-01, 7.142857e-01, 5.714286e-01 1964, 9.285714e-01, 7.142857e-01, 5.714286e-01 1965, 1.000000e+00, 7.142857e-01, 5.714286e-01 1966, 0.000000e+00, 7.857143e-01, 5.714286e-01 1967, 7.142857e-02, 7.857143e-01, 5.714286e-01 1968, 1.428571e-01, 7.857143e-01, 5.714286e-01 1969, 2.142857e-01, 7.857143e-01, 5.714286e-01 1970, 2.857143e-01, 7.857143e-01, 5.714286e-01 1971, 3.571429e-01, 7.857143e-01, 5.714286e-01 1972, 4.285714e-01, 7.857143e-01, 5.714286e-01 1973, 5.000000e-01, 7.857143e-01, 5.714286e-01 1974, 5.714286e-01, 7.857143e-01, 5.714286e-01 1975, 6.428571e-01, 7.857143e-01, 5.714286e-01 1976, 7.142857e-01, 7.857143e-01, 5.714286e-01 1977, 7.857143e-01, 7.857143e-01, 5.714286e-01 1978, 8.571429e-01, 7.857143e-01, 5.714286e-01 1979, 9.285714e-01, 7.857143e-01, 5.714286e-01 1980, 1.000000e+00, 7.857143e-01, 5.714286e-01 1981, 0.000000e+00, 8.571429e-01, 5.714286e-01 1982, 7.142857e-02, 8.571429e-01, 5.714286e-01 1983, 1.428571e-01, 8.571429e-01, 5.714286e-01 1984, 2.142857e-01, 8.571429e-01, 5.714286e-01 1985, 2.857143e-01, 8.571429e-01, 5.714286e-01 1986, 3.571429e-01, 8.571429e-01, 5.714286e-01 1987, 4.285714e-01, 8.571429e-01, 5.714286e-01 1988, 5.000000e-01, 8.571429e-01, 5.714286e-01 1989, 5.714286e-01, 8.571429e-01, 5.714286e-01 1990, 6.428571e-01, 8.571429e-01, 5.714286e-01 1991, 7.142857e-01, 8.571429e-01, 5.714286e-01 1992, 7.857143e-01, 8.571429e-01, 5.714286e-01 1993, 8.571429e-01, 8.571429e-01, 5.714286e-01 1994, 9.285714e-01, 8.571429e-01, 5.714286e-01 1995, 1.000000e+00, 8.571429e-01, 5.714286e-01 1996, 0.000000e+00, 9.285714e-01, 5.714286e-01 1997, 7.142857e-02, 9.285714e-01, 5.714286e-01 1998, 1.428571e-01, 9.285714e-01, 5.714286e-01 1999, 2.142857e-01, 9.285714e-01, 5.714286e-01 2000, 2.857143e-01, 9.285714e-01, 5.714286e-01 2001, 3.571429e-01, 9.285714e-01, 5.714286e-01 2002, 4.285714e-01, 9.285714e-01, 5.714286e-01 2003, 5.000000e-01, 9.285714e-01, 5.714286e-01 2004, 5.714286e-01, 9.285714e-01, 5.714286e-01 2005, 6.428571e-01, 9.285714e-01, 5.714286e-01 2006, 7.142857e-01, 9.285714e-01, 5.714286e-01 2007, 7.857143e-01, 9.285714e-01, 5.714286e-01 2008, 8.571429e-01, 9.285714e-01, 5.714286e-01 2009, 9.285714e-01, 9.285714e-01, 5.714286e-01 2010, 1.000000e+00, 9.285714e-01, 5.714286e-01 2011, 0.000000e+00, 1.000000e+00, 5.714286e-01 2012, 7.142857e-02, 1.000000e+00, 5.714286e-01 2013, 1.428571e-01, 1.000000e+00, 5.714286e-01 2014, 2.142857e-01, 1.000000e+00, 5.714286e-01 2015, 2.857143e-01, 1.000000e+00, 5.714286e-01 2016, 3.571429e-01, 1.000000e+00, 5.714286e-01 2017, 4.285714e-01, 1.000000e+00, 5.714286e-01 2018, 5.000000e-01, 1.000000e+00, 5.714286e-01 2019, 5.714286e-01, 1.000000e+00, 5.714286e-01 2020, 6.428571e-01, 1.000000e+00, 5.714286e-01 2021, 7.142857e-01, 1.000000e+00, 5.714286e-01 2022, 7.857143e-01, 1.000000e+00, 5.714286e-01 2023, 8.571429e-01, 1.000000e+00, 5.714286e-01 2024, 9.285714e-01, 1.000000e+00, 5.714286e-01 2025, 1.000000e+00, 1.000000e+00, 5.714286e-01 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1.000000e+00 3365, 2.857143e-01, 1.000000e+00, 1.000000e+00 3366, 3.571429e-01, 1.000000e+00, 1.000000e+00 3367, 4.285714e-01, 1.000000e+00, 1.000000e+00 3368, 5.000000e-01, 1.000000e+00, 1.000000e+00 3369, 5.714286e-01, 1.000000e+00, 1.000000e+00 3370, 6.428571e-01, 1.000000e+00, 1.000000e+00 3371, 7.142857e-01, 1.000000e+00, 1.000000e+00 3372, 7.857143e-01, 1.000000e+00, 1.000000e+00 3373, 8.571429e-01, 1.000000e+00, 1.000000e+00 3374, 9.285714e-01, 1.000000e+00, 1.000000e+00 3375, 1.000000e+00, 1.000000e+00, 1.000000e+00 *Element, type=C3D8 1, 1, 2, 17, 16, 226, 227, 242, 241 2, 2, 3, 18, 17, 227, 228, 243, 242 3, 3, 4, 19, 18, 228, 229, 244, 243 4, 4, 5, 20, 19, 229, 230, 245, 244 5, 5, 6, 21, 20, 230, 231, 246, 245 6, 6, 7, 22, 21, 231, 232, 247, 246 7, 7, 8, 23, 22, 232, 233, 248, 247 8, 8, 9, 24, 23, 233, 234, 249, 248 9, 9, 10, 25, 24, 234, 235, 250, 249 10, 10, 11, 26, 25, 235, 236, 251, 250 11, 11, 12, 27, 26, 236, 237, 252, 251 12, 12, 13, 28, 27, 237, 238, 253, 252 13, 13, 14, 29, 28, 238, 239, 254, 253 14, 14, 15, 30, 29, 239, 240, 255, 254 15, 16, 17, 32, 31, 241, 242, 257, 256 16, 17, 18, 33, 32, 242, 243, 258, 257 17, 18, 19, 34, 33, 243, 244, 259, 258 18, 19, 20, 35, 34, 244, 245, 260, 259 19, 20, 21, 36, 35, 245, 246, 261, 260 20, 21, 22, 37, 36, 246, 247, 262, 261 21, 22, 23, 38, 37, 247, 248, 263, 262 22, 23, 24, 39, 38, 248, 249, 264, 263 23, 24, 25, 40, 39, 249, 250, 265, 264 24, 25, 26, 41, 40, 250, 251, 266, 265 25, 26, 27, 42, 41, 251, 252, 267, 266 26, 27, 28, 43, 42, 252, 253, 268, 267 27, 28, 29, 44, 43, 253, 254, 269, 268 28, 29, 30, 45, 44, 254, 255, 270, 269 29, 31, 32, 47, 46, 256, 257, 272, 271 30, 32, 33, 48, 47, 257, 258, 273, 272 31, 33, 34, 49, 48, 258, 259, 274, 273 32, 34, 35, 50, 49, 259, 260, 275, 274 33, 35, 36, 51, 50, 260, 261, 276, 275 34, 36, 37, 52, 51, 261, 262, 277, 276 35, 37, 38, 53, 52, 262, 263, 278, 277 36, 38, 39, 54, 53, 263, 264, 279, 278 37, 39, 40, 55, 54, 264, 265, 280, 279 38, 40, 41, 56, 55, 265, 266, 281, 280 39, 41, 42, 57, 56, 266, 267, 282, 281 40, 42, 43, 58, 57, 267, 268, 283, 282 41, 43, 44, 59, 58, 268, 269, 284, 283 42, 44, 45, 60, 59, 269, 270, 285, 284 43, 46, 47, 62, 61, 271, 272, 287, 286 44, 47, 48, 63, 62, 272, 273, 288, 287 45, 48, 49, 64, 63, 273, 274, 289, 288 46, 49, 50, 65, 64, 274, 275, 290, 289 47, 50, 51, 66, 65, 275, 276, 291, 290 48, 51, 52, 67, 66, 276, 277, 292, 291 49, 52, 53, 68, 67, 277, 278, 293, 292 50, 53, 54, 69, 68, 278, 279, 294, 293 51, 54, 55, 70, 69, 279, 280, 295, 294 52, 55, 56, 71, 70, 280, 281, 296, 295 53, 56, 57, 72, 71, 281, 282, 297, 296 54, 57, 58, 73, 72, 282, 283, 298, 297 55, 58, 59, 74, 73, 283, 284, 299, 298 56, 59, 60, 75, 74, 284, 285, 300, 299 57, 61, 62, 77, 76, 286, 287, 302, 301 58, 62, 63, 78, 77, 287, 288, 303, 302 59, 63, 64, 79, 78, 288, 289, 304, 303 60, 64, 65, 80, 79, 289, 290, 305, 304 61, 65, 66, 81, 80, 290, 291, 306, 305 62, 66, 67, 82, 81, 291, 292, 307, 306 63, 67, 68, 83, 82, 292, 293, 308, 307 64, 68, 69, 84, 83, 293, 294, 309, 308 65, 69, 70, 85, 84, 294, 295, 310, 309 66, 70, 71, 86, 85, 295, 296, 311, 310 67, 71, 72, 87, 86, 296, 297, 312, 311 68, 72, 73, 88, 87, 297, 298, 313, 312 69, 73, 74, 89, 88, 298, 299, 314, 313 70, 74, 75, 90, 89, 299, 300, 315, 314 71, 76, 77, 92, 91, 301, 302, 317, 316 72, 77, 78, 93, 92, 302, 303, 318, 317 73, 78, 79, 94, 93, 303, 304, 319, 318 74, 79, 80, 95, 94, 304, 305, 320, 319 75, 80, 81, 96, 95, 305, 306, 321, 320 76, 81, 82, 97, 96, 306, 307, 322, 321 77, 82, 83, 98, 97, 307, 308, 323, 322 78, 83, 84, 99, 98, 308, 309, 324, 323 79, 84, 85, 100, 99, 309, 310, 325, 324 80, 85, 86, 101, 100, 310, 311, 326, 325 81, 86, 87, 102, 101, 311, 312, 327, 326 82, 87, 88, 103, 102, 312, 313, 328, 327 83, 88, 89, 104, 103, 313, 314, 329, 328 84, 89, 90, 105, 104, 314, 315, 330, 329 85, 91, 92, 107, 106, 316, 317, 332, 331 86, 92, 93, 108, 107, 317, 318, 333, 332 87, 93, 94, 109, 108, 318, 319, 334, 333 88, 94, 95, 110, 109, 319, 320, 335, 334 89, 95, 96, 111, 110, 320, 321, 336, 335 90, 96, 97, 112, 111, 321, 322, 337, 336 91, 97, 98, 113, 112, 322, 323, 338, 337 92, 98, 99, 114, 113, 323, 324, 339, 338 93, 99, 100, 115, 114, 324, 325, 340, 339 94, 100, 101, 116, 115, 325, 326, 341, 340 95, 101, 102, 117, 116, 326, 327, 342, 341 96, 102, 103, 118, 117, 327, 328, 343, 342 97, 103, 104, 119, 118, 328, 329, 344, 343 98, 104, 105, 120, 119, 329, 330, 345, 344 99, 106, 107, 122, 121, 331, 332, 347, 346 100, 107, 108, 123, 122, 332, 333, 348, 347 101, 108, 109, 124, 123, 333, 334, 349, 348 102, 109, 110, 125, 124, 334, 335, 350, 349 103, 110, 111, 126, 125, 335, 336, 351, 350 104, 111, 112, 127, 126, 336, 337, 352, 351 105, 112, 113, 128, 127, 337, 338, 353, 352 106, 113, 114, 129, 128, 338, 339, 354, 353 107, 114, 115, 130, 129, 339, 340, 355, 354 108, 115, 116, 131, 130, 340, 341, 356, 355 109, 116, 117, 132, 131, 341, 342, 357, 356 110, 117, 118, 133, 132, 342, 343, 358, 357 111, 118, 119, 134, 133, 343, 344, 359, 358 112, 119, 120, 135, 134, 344, 345, 360, 359 113, 121, 122, 137, 136, 346, 347, 362, 361 114, 122, 123, 138, 137, 347, 348, 363, 362 115, 123, 124, 139, 138, 348, 349, 364, 363 116, 124, 125, 140, 139, 349, 350, 365, 364 117, 125, 126, 141, 140, 350, 351, 366, 365 118, 126, 127, 142, 141, 351, 352, 367, 366 119, 127, 128, 143, 142, 352, 353, 368, 367 120, 128, 129, 144, 143, 353, 354, 369, 368 121, 129, 130, 145, 144, 354, 355, 370, 369 122, 130, 131, 146, 145, 355, 356, 371, 370 123, 131, 132, 147, 146, 356, 357, 372, 371 124, 132, 133, 148, 147, 357, 358, 373, 372 125, 133, 134, 149, 148, 358, 359, 374, 373 126, 134, 135, 150, 149, 359, 360, 375, 374 127, 136, 137, 152, 151, 361, 362, 377, 376 128, 137, 138, 153, 152, 362, 363, 378, 377 129, 138, 139, 154, 153, 363, 364, 379, 378 130, 139, 140, 155, 154, 364, 365, 380, 379 131, 140, 141, 156, 155, 365, 366, 381, 380 132, 141, 142, 157, 156, 366, 367, 382, 381 133, 142, 143, 158, 157, 367, 368, 383, 382 134, 143, 144, 159, 158, 368, 369, 384, 383 135, 144, 145, 160, 159, 369, 370, 385, 384 136, 145, 146, 161, 160, 370, 371, 386, 385 137, 146, 147, 162, 161, 371, 372, 387, 386 138, 147, 148, 163, 162, 372, 373, 388, 387 139, 148, 149, 164, 163, 373, 374, 389, 388 140, 149, 150, 165, 164, 374, 375, 390, 389 141, 151, 152, 167, 166, 376, 377, 392, 391 142, 152, 153, 168, 167, 377, 378, 393, 392 143, 153, 154, 169, 168, 378, 379, 394, 393 144, 154, 155, 170, 169, 379, 380, 395, 394 145, 155, 156, 171, 170, 380, 381, 396, 395 146, 156, 157, 172, 171, 381, 382, 397, 396 147, 157, 158, 173, 172, 382, 383, 398, 397 148, 158, 159, 174, 173, 383, 384, 399, 398 149, 159, 160, 175, 174, 384, 385, 400, 399 150, 160, 161, 176, 175, 385, 386, 401, 400 151, 161, 162, 177, 176, 386, 387, 402, 401 152, 162, 163, 178, 177, 387, 388, 403, 402 153, 163, 164, 179, 178, 388, 389, 404, 403 154, 164, 165, 180, 179, 389, 390, 405, 404 155, 166, 167, 182, 181, 391, 392, 407, 406 156, 167, 168, 183, 182, 392, 393, 408, 407 157, 168, 169, 184, 183, 393, 394, 409, 408 158, 169, 170, 185, 184, 394, 395, 410, 409 159, 170, 171, 186, 185, 395, 396, 411, 410 160, 171, 172, 187, 186, 396, 397, 412, 411 161, 172, 173, 188, 187, 397, 398, 413, 412 162, 173, 174, 189, 188, 398, 399, 414, 413 163, 174, 175, 190, 189, 399, 400, 415, 414 164, 175, 176, 191, 190, 400, 401, 416, 415 165, 176, 177, 192, 191, 401, 402, 417, 416 166, 177, 178, 193, 192, 402, 403, 418, 417 167, 178, 179, 194, 193, 403, 404, 419, 418 168, 179, 180, 195, 194, 404, 405, 420, 419 169, 181, 182, 197, 196, 406, 407, 422, 421 170, 182, 183, 198, 197, 407, 408, 423, 422 171, 183, 184, 199, 198, 408, 409, 424, 423 172, 184, 185, 200, 199, 409, 410, 425, 424 173, 185, 186, 201, 200, 410, 411, 426, 425 174, 186, 187, 202, 201, 411, 412, 427, 426 175, 187, 188, 203, 202, 412, 413, 428, 427 176, 188, 189, 204, 203, 413, 414, 429, 428 177, 189, 190, 205, 204, 414, 415, 430, 429 178, 190, 191, 206, 205, 415, 416, 431, 430 179, 191, 192, 207, 206, 416, 417, 432, 431 180, 192, 193, 208, 207, 417, 418, 433, 432 181, 193, 194, 209, 208, 418, 419, 434, 433 182, 194, 195, 210, 209, 419, 420, 435, 434 183, 196, 197, 212, 211, 421, 422, 437, 436 184, 197, 198, 213, 212, 422, 423, 438, 437 185, 198, 199, 214, 213, 423, 424, 439, 438 186, 199, 200, 215, 214, 424, 425, 440, 439 187, 200, 201, 216, 215, 425, 426, 441, 440 188, 201, 202, 217, 216, 426, 427, 442, 441 189, 202, 203, 218, 217, 427, 428, 443, 442 190, 203, 204, 219, 218, 428, 429, 444, 443 191, 204, 205, 220, 219, 429, 430, 445, 444 192, 205, 206, 221, 220, 430, 431, 446, 445 193, 206, 207, 222, 221, 431, 432, 447, 446 194, 207, 208, 223, 222, 432, 433, 448, 447 195, 208, 209, 224, 223, 433, 434, 449, 448 196, 209, 210, 225, 224, 434, 435, 450, 449 197, 226, 227, 242, 241, 451, 452, 467, 466 198, 227, 228, 243, 242, 452, 453, 468, 467 199, 228, 229, 244, 243, 453, 454, 469, 468 200, 229, 230, 245, 244, 454, 455, 470, 469 201, 230, 231, 246, 245, 455, 456, 471, 470 202, 231, 232, 247, 246, 456, 457, 472, 471 203, 232, 233, 248, 247, 457, 458, 473, 472 204, 233, 234, 249, 248, 458, 459, 474, 473 205, 234, 235, 250, 249, 459, 460, 475, 474 206, 235, 236, 251, 250, 460, 461, 476, 475 207, 236, 237, 252, 251, 461, 462, 477, 476 208, 237, 238, 253, 252, 462, 463, 478, 477 209, 238, 239, 254, 253, 463, 464, 479, 478 210, 239, 240, 255, 254, 464, 465, 480, 479 211, 241, 242, 257, 256, 466, 467, 482, 481 212, 242, 243, 258, 257, 467, 468, 483, 482 213, 243, 244, 259, 258, 468, 469, 484, 483 214, 244, 245, 260, 259, 469, 470, 485, 484 215, 245, 246, 261, 260, 470, 471, 486, 485 216, 246, 247, 262, 261, 471, 472, 487, 486 217, 247, 248, 263, 262, 472, 473, 488, 487 218, 248, 249, 264, 263, 473, 474, 489, 488 219, 249, 250, 265, 264, 474, 475, 490, 489 220, 250, 251, 266, 265, 475, 476, 491, 490 221, 251, 252, 267, 266, 476, 477, 492, 491 222, 252, 253, 268, 267, 477, 478, 493, 492 223, 253, 254, 269, 268, 478, 479, 494, 493 224, 254, 255, 270, 269, 479, 480, 495, 494 225, 256, 257, 272, 271, 481, 482, 497, 496 226, 257, 258, 273, 272, 482, 483, 498, 497 227, 258, 259, 274, 273, 483, 484, 499, 498 228, 259, 260, 275, 274, 484, 485, 500, 499 229, 260, 261, 276, 275, 485, 486, 501, 500 230, 261, 262, 277, 276, 486, 487, 502, 501 231, 262, 263, 278, 277, 487, 488, 503, 502 232, 263, 264, 279, 278, 488, 489, 504, 503 233, 264, 265, 280, 279, 489, 490, 505, 504 234, 265, 266, 281, 280, 490, 491, 506, 505 235, 266, 267, 282, 281, 491, 492, 507, 506 236, 267, 268, 283, 282, 492, 493, 508, 507 237, 268, 269, 284, 283, 493, 494, 509, 508 238, 269, 270, 285, 284, 494, 495, 510, 509 239, 271, 272, 287, 286, 496, 497, 512, 511 240, 272, 273, 288, 287, 497, 498, 513, 512 241, 273, 274, 289, 288, 498, 499, 514, 513 242, 274, 275, 290, 289, 499, 500, 515, 514 243, 275, 276, 291, 290, 500, 501, 516, 515 244, 276, 277, 292, 291, 501, 502, 517, 516 245, 277, 278, 293, 292, 502, 503, 518, 517 246, 278, 279, 294, 293, 503, 504, 519, 518 247, 279, 280, 295, 294, 504, 505, 520, 519 248, 280, 281, 296, 295, 505, 506, 521, 520 249, 281, 282, 297, 296, 506, 507, 522, 521 250, 282, 283, 298, 297, 507, 508, 523, 522 251, 283, 284, 299, 298, 508, 509, 524, 523 252, 284, 285, 300, 299, 509, 510, 525, 524 253, 286, 287, 302, 301, 511, 512, 527, 526 254, 287, 288, 303, 302, 512, 513, 528, 527 255, 288, 289, 304, 303, 513, 514, 529, 528 256, 289, 290, 305, 304, 514, 515, 530, 529 257, 290, 291, 306, 305, 515, 516, 531, 530 258, 291, 292, 307, 306, 516, 517, 532, 531 259, 292, 293, 308, 307, 517, 518, 533, 532 260, 293, 294, 309, 308, 518, 519, 534, 533 261, 294, 295, 310, 309, 519, 520, 535, 534 262, 295, 296, 311, 310, 520, 521, 536, 535 263, 296, 297, 312, 311, 521, 522, 537, 536 264, 297, 298, 313, 312, 522, 523, 538, 537 265, 298, 299, 314, 313, 523, 524, 539, 538 266, 299, 300, 315, 314, 524, 525, 540, 539 267, 301, 302, 317, 316, 526, 527, 542, 541 268, 302, 303, 318, 317, 527, 528, 543, 542 269, 303, 304, 319, 318, 528, 529, 544, 543 270, 304, 305, 320, 319, 529, 530, 545, 544 271, 305, 306, 321, 320, 530, 531, 546, 545 272, 306, 307, 322, 321, 531, 532, 547, 546 273, 307, 308, 323, 322, 532, 533, 548, 547 274, 308, 309, 324, 323, 533, 534, 549, 548 275, 309, 310, 325, 324, 534, 535, 550, 549 276, 310, 311, 326, 325, 535, 536, 551, 550 277, 311, 312, 327, 326, 536, 537, 552, 551 278, 312, 313, 328, 327, 537, 538, 553, 552 279, 313, 314, 329, 328, 538, 539, 554, 553 280, 314, 315, 330, 329, 539, 540, 555, 554 281, 316, 317, 332, 331, 541, 542, 557, 556 282, 317, 318, 333, 332, 542, 543, 558, 557 283, 318, 319, 334, 333, 543, 544, 559, 558 284, 319, 320, 335, 334, 544, 545, 560, 559 285, 320, 321, 336, 335, 545, 546, 561, 560 286, 321, 322, 337, 336, 546, 547, 562, 561 287, 322, 323, 338, 337, 547, 548, 563, 562 288, 323, 324, 339, 338, 548, 549, 564, 563 289, 324, 325, 340, 339, 549, 550, 565, 564 290, 325, 326, 341, 340, 550, 551, 566, 565 291, 326, 327, 342, 341, 551, 552, 567, 566 292, 327, 328, 343, 342, 552, 553, 568, 567 293, 328, 329, 344, 343, 553, 554, 569, 568 294, 329, 330, 345, 344, 554, 555, 570, 569 295, 331, 332, 347, 346, 556, 557, 572, 571 296, 332, 333, 348, 347, 557, 558, 573, 572 297, 333, 334, 349, 348, 558, 559, 574, 573 298, 334, 335, 350, 349, 559, 560, 575, 574 299, 335, 336, 351, 350, 560, 561, 576, 575 300, 336, 337, 352, 351, 561, 562, 577, 576 301, 337, 338, 353, 352, 562, 563, 578, 577 302, 338, 339, 354, 353, 563, 564, 579, 578 303, 339, 340, 355, 354, 564, 565, 580, 579 304, 340, 341, 356, 355, 565, 566, 581, 580 305, 341, 342, 357, 356, 566, 567, 582, 581 306, 342, 343, 358, 357, 567, 568, 583, 582 307, 343, 344, 359, 358, 568, 569, 584, 583 308, 344, 345, 360, 359, 569, 570, 585, 584 309, 346, 347, 362, 361, 571, 572, 587, 586 310, 347, 348, 363, 362, 572, 573, 588, 587 311, 348, 349, 364, 363, 573, 574, 589, 588 312, 349, 350, 365, 364, 574, 575, 590, 589 313, 350, 351, 366, 365, 575, 576, 591, 590 314, 351, 352, 367, 366, 576, 577, 592, 591 315, 352, 353, 368, 367, 577, 578, 593, 592 316, 353, 354, 369, 368, 578, 579, 594, 593 317, 354, 355, 370, 369, 579, 580, 595, 594 318, 355, 356, 371, 370, 580, 581, 596, 595 319, 356, 357, 372, 371, 581, 582, 597, 596 320, 357, 358, 373, 372, 582, 583, 598, 597 321, 358, 359, 374, 373, 583, 584, 599, 598 322, 359, 360, 375, 374, 584, 585, 600, 599 323, 361, 362, 377, 376, 586, 587, 602, 601 324, 362, 363, 378, 377, 587, 588, 603, 602 325, 363, 364, 379, 378, 588, 589, 604, 603 326, 364, 365, 380, 379, 589, 590, 605, 604 327, 365, 366, 381, 380, 590, 591, 606, 605 328, 366, 367, 382, 381, 591, 592, 607, 606 329, 367, 368, 383, 382, 592, 593, 608, 607 330, 368, 369, 384, 383, 593, 594, 609, 608 331, 369, 370, 385, 384, 594, 595, 610, 609 332, 370, 371, 386, 385, 595, 596, 611, 610 333, 371, 372, 387, 386, 596, 597, 612, 611 334, 372, 373, 388, 387, 597, 598, 613, 612 335, 373, 374, 389, 388, 598, 599, 614, 613 336, 374, 375, 390, 389, 599, 600, 615, 614 337, 376, 377, 392, 391, 601, 602, 617, 616 338, 377, 378, 393, 392, 602, 603, 618, 617 339, 378, 379, 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362, 402, 403, 418, 417, 627, 628, 643, 642 363, 403, 404, 419, 418, 628, 629, 644, 643 364, 404, 405, 420, 419, 629, 630, 645, 644 365, 406, 407, 422, 421, 631, 632, 647, 646 366, 407, 408, 423, 422, 632, 633, 648, 647 367, 408, 409, 424, 423, 633, 634, 649, 648 368, 409, 410, 425, 424, 634, 635, 650, 649 369, 410, 411, 426, 425, 635, 636, 651, 650 370, 411, 412, 427, 426, 636, 637, 652, 651 371, 412, 413, 428, 427, 637, 638, 653, 652 372, 413, 414, 429, 428, 638, 639, 654, 653 373, 414, 415, 430, 429, 639, 640, 655, 654 374, 415, 416, 431, 430, 640, 641, 656, 655 375, 416, 417, 432, 431, 641, 642, 657, 656 376, 417, 418, 433, 432, 642, 643, 658, 657 377, 418, 419, 434, 433, 643, 644, 659, 658 378, 419, 420, 435, 434, 644, 645, 660, 659 379, 421, 422, 437, 436, 646, 647, 662, 661 380, 422, 423, 438, 437, 647, 648, 663, 662 381, 423, 424, 439, 438, 648, 649, 664, 663 382, 424, 425, 440, 439, 649, 650, 665, 664 383, 425, 426, 441, 440, 650, 651, 666, 665 384, 426, 427, 442, 441, 651, 652, 667, 666 385, 427, 428, 443, 442, 652, 653, 668, 667 386, 428, 429, 444, 443, 653, 654, 669, 668 387, 429, 430, 445, 444, 654, 655, 670, 669 388, 430, 431, 446, 445, 655, 656, 671, 670 389, 431, 432, 447, 446, 656, 657, 672, 671 390, 432, 433, 448, 447, 657, 658, 673, 672 391, 433, 434, 449, 448, 658, 659, 674, 673 392, 434, 435, 450, 449, 659, 660, 675, 674 393, 451, 452, 467, 466, 676, 677, 692, 691 394, 452, 453, 468, 467, 677, 678, 693, 692 395, 453, 454, 469, 468, 678, 679, 694, 693 396, 454, 455, 470, 469, 679, 680, 695, 694 397, 455, 456, 471, 470, 680, 681, 696, 695 398, 456, 457, 472, 471, 681, 682, 697, 696 399, 457, 458, 473, 472, 682, 683, 698, 697 400, 458, 459, 474, 473, 683, 684, 699, 698 401, 459, 460, 475, 474, 684, 685, 700, 699 402, 460, 461, 476, 475, 685, 686, 701, 700 403, 461, 462, 477, 476, 686, 687, 702, 701 404, 462, 463, 478, 477, 687, 688, 703, 702 405, 463, 464, 479, 478, 688, 689, 704, 703 406, 464, 465, 480, 479, 689, 690, 705, 704 407, 466, 467, 482, 481, 691, 692, 707, 706 408, 467, 468, 483, 482, 692, 693, 708, 707 409, 468, 469, 484, 483, 693, 694, 709, 708 410, 469, 470, 485, 484, 694, 695, 710, 709 411, 470, 471, 486, 485, 695, 696, 711, 710 412, 471, 472, 487, 486, 696, 697, 712, 711 413, 472, 473, 488, 487, 697, 698, 713, 712 414, 473, 474, 489, 488, 698, 699, 714, 713 415, 474, 475, 490, 489, 699, 700, 715, 714 416, 475, 476, 491, 490, 700, 701, 716, 715 417, 476, 477, 492, 491, 701, 702, 717, 716 418, 477, 478, 493, 492, 702, 703, 718, 717 419, 478, 479, 494, 493, 703, 704, 719, 718 420, 479, 480, 495, 494, 704, 705, 720, 719 421, 481, 482, 497, 496, 706, 707, 722, 721 422, 482, 483, 498, 497, 707, 708, 723, 722 423, 483, 484, 499, 498, 708, 709, 724, 723 424, 484, 485, 500, 499, 709, 710, 725, 724 425, 485, 486, 501, 500, 710, 711, 726, 725 426, 486, 487, 502, 501, 711, 712, 727, 726 427, 487, 488, 503, 502, 712, 713, 728, 727 428, 488, 489, 504, 503, 713, 714, 729, 728 429, 489, 490, 505, 504, 714, 715, 730, 729 430, 490, 491, 506, 505, 715, 716, 731, 730 431, 491, 492, 507, 506, 716, 717, 732, 731 432, 492, 493, 508, 507, 717, 718, 733, 732 433, 493, 494, 509, 508, 718, 719, 734, 733 434, 494, 495, 510, 509, 719, 720, 735, 734 435, 496, 497, 512, 511, 721, 722, 737, 736 436, 497, 498, 513, 512, 722, 723, 738, 737 437, 498, 499, 514, 513, 723, 724, 739, 738 438, 499, 500, 515, 514, 724, 725, 740, 739 439, 500, 501, 516, 515, 725, 726, 741, 740 440, 501, 502, 517, 516, 726, 727, 742, 741 441, 502, 503, 518, 517, 727, 728, 743, 742 442, 503, 504, 519, 518, 728, 729, 744, 743 443, 504, 505, 520, 519, 729, 730, 745, 744 444, 505, 506, 521, 520, 730, 731, 746, 745 445, 506, 507, 522, 521, 731, 732, 747, 746 446, 507, 508, 523, 522, 732, 733, 748, 747 447, 508, 509, 524, 523, 733, 734, 749, 748 448, 509, 510, 525, 524, 734, 735, 750, 749 449, 511, 512, 527, 526, 736, 737, 752, 751 450, 512, 513, 528, 527, 737, 738, 753, 752 451, 513, 514, 529, 528, 738, 739, 754, 753 452, 514, 515, 530, 529, 739, 740, 755, 754 453, 515, 516, 531, 530, 740, 741, 756, 755 454, 516, 517, 532, 531, 741, 742, 757, 756 455, 517, 518, 533, 532, 742, 743, 758, 757 456, 518, 519, 534, 533, 743, 744, 759, 758 457, 519, 520, 535, 534, 744, 745, 760, 759 458, 520, 521, 536, 535, 745, 746, 761, 760 459, 521, 522, 537, 536, 746, 747, 762, 761 460, 522, 523, 538, 537, 747, 748, 763, 762 461, 523, 524, 539, 538, 748, 749, 764, 763 462, 524, 525, 540, 539, 749, 750, 765, 764 463, 526, 527, 542, 541, 751, 752, 767, 766 464, 527, 528, 543, 542, 752, 753, 768, 767 465, 528, 529, 544, 543, 753, 754, 769, 768 466, 529, 530, 545, 544, 754, 755, 770, 769 467, 530, 531, 546, 545, 755, 756, 771, 770 468, 531, 532, 547, 546, 756, 757, 772, 771 469, 532, 533, 548, 547, 757, 758, 773, 772 470, 533, 534, 549, 548, 758, 759, 774, 773 471, 534, 535, 550, 549, 759, 760, 775, 774 472, 535, 536, 551, 550, 760, 761, 776, 775 473, 536, 537, 552, 551, 761, 762, 777, 776 474, 537, 538, 553, 552, 762, 763, 778, 777 475, 538, 539, 554, 553, 763, 764, 779, 778 476, 539, 540, 555, 554, 764, 765, 780, 779 477, 541, 542, 557, 556, 766, 767, 782, 781 478, 542, 543, 558, 557, 767, 768, 783, 782 479, 543, 544, 559, 558, 768, 769, 784, 783 480, 544, 545, 560, 559, 769, 770, 785, 784 481, 545, 546, 561, 560, 770, 771, 786, 785 482, 546, 547, 562, 561, 771, 772, 787, 786 483, 547, 548, 563, 562, 772, 773, 788, 787 484, 548, 549, 564, 563, 773, 774, 789, 788 485, 549, 550, 565, 564, 774, 775, 790, 789 486, 550, 551, 566, 565, 775, 776, 791, 790 487, 551, 552, 567, 566, 776, 777, 792, 791 488, 552, 553, 568, 567, 777, 778, 793, 792 489, 553, 554, 569, 568, 778, 779, 794, 793 490, 554, 555, 570, 569, 779, 780, 795, 794 491, 556, 557, 572, 571, 781, 782, 797, 796 492, 557, 558, 573, 572, 782, 783, 798, 797 493, 558, 559, 574, 573, 783, 784, 799, 798 494, 559, 560, 575, 574, 784, 785, 800, 799 495, 560, 561, 576, 575, 785, 786, 801, 800 496, 561, 562, 577, 576, 786, 787, 802, 801 497, 562, 563, 578, 577, 787, 788, 803, 802 498, 563, 564, 579, 578, 788, 789, 804, 803 499, 564, 565, 580, 579, 789, 790, 805, 804 500, 565, 566, 581, 580, 790, 791, 806, 805 501, 566, 567, 582, 581, 791, 792, 807, 806 502, 567, 568, 583, 582, 792, 793, 808, 807 503, 568, 569, 584, 583, 793, 794, 809, 808 504, 569, 570, 585, 584, 794, 795, 810, 809 505, 571, 572, 587, 586, 796, 797, 812, 811 506, 572, 573, 588, 587, 797, 798, 813, 812 507, 573, 574, 589, 588, 798, 799, 814, 813 508, 574, 575, 590, 589, 799, 800, 815, 814 509, 575, 576, 591, 590, 800, 801, 816, 815 510, 576, 577, 592, 591, 801, 802, 817, 816 511, 577, 578, 593, 592, 802, 803, 818, 817 512, 578, 579, 594, 593, 803, 804, 819, 818 513, 579, 580, 595, 594, 804, 805, 820, 819 514, 580, 581, 596, 595, 805, 806, 821, 820 515, 581, 582, 597, 596, 806, 807, 822, 821 516, 582, 583, 598, 597, 807, 808, 823, 822 517, 583, 584, 599, 598, 808, 809, 824, 823 518, 584, 585, 600, 599, 809, 810, 825, 824 519, 586, 587, 602, 601, 811, 812, 827, 826 520, 587, 588, 603, 602, 812, 813, 828, 827 521, 588, 589, 604, 603, 813, 814, 829, 828 522, 589, 590, 605, 604, 814, 815, 830, 829 523, 590, 591, 606, 605, 815, 816, 831, 830 524, 591, 592, 607, 606, 816, 817, 832, 831 525, 592, 593, 608, 607, 817, 818, 833, 832 526, 593, 594, 609, 608, 818, 819, 834, 833 527, 594, 595, 610, 609, 819, 820, 835, 834 528, 595, 596, 611, 610, 820, 821, 836, 835 529, 596, 597, 612, 611, 821, 822, 837, 836 530, 597, 598, 613, 612, 822, 823, 838, 837 531, 598, 599, 614, 613, 823, 824, 839, 838 532, 599, 600, 615, 614, 824, 825, 840, 839 533, 601, 602, 617, 616, 826, 827, 842, 841 534, 602, 603, 618, 617, 827, 828, 843, 842 535, 603, 604, 619, 618, 828, 829, 844, 843 536, 604, 605, 620, 619, 829, 830, 845, 844 537, 605, 606, 621, 620, 830, 831, 846, 845 538, 606, 607, 622, 621, 831, 832, 847, 846 539, 607, 608, 623, 622, 832, 833, 848, 847 540, 608, 609, 624, 623, 833, 834, 849, 848 541, 609, 610, 625, 624, 834, 835, 850, 849 542, 610, 611, 626, 625, 835, 836, 851, 850 543, 611, 612, 627, 626, 836, 837, 852, 851 544, 612, 613, 628, 627, 837, 838, 853, 852 545, 613, 614, 629, 628, 838, 839, 854, 853 546, 614, 615, 630, 629, 839, 840, 855, 854 547, 616, 617, 632, 631, 841, 842, 857, 856 548, 617, 618, 633, 632, 842, 843, 858, 857 549, 618, 619, 634, 633, 843, 844, 859, 858 550, 619, 620, 635, 634, 844, 845, 860, 859 551, 620, 621, 636, 635, 845, 846, 861, 860 552, 621, 622, 637, 636, 846, 847, 862, 861 553, 622, 623, 638, 637, 847, 848, 863, 862 554, 623, 624, 639, 638, 848, 849, 864, 863 555, 624, 625, 640, 639, 849, 850, 865, 864 556, 625, 626, 641, 640, 850, 851, 866, 865 557, 626, 627, 642, 641, 851, 852, 867, 866 558, 627, 628, 643, 642, 852, 853, 868, 867 559, 628, 629, 644, 643, 853, 854, 869, 868 560, 629, 630, 645, 644, 854, 855, 870, 869 561, 631, 632, 647, 646, 856, 857, 872, 871 562, 632, 633, 648, 647, 857, 858, 873, 872 563, 633, 634, 649, 648, 858, 859, 874, 873 564, 634, 635, 650, 649, 859, 860, 875, 874 565, 635, 636, 651, 650, 860, 861, 876, 875 566, 636, 637, 652, 651, 861, 862, 877, 876 567, 637, 638, 653, 652, 862, 863, 878, 877 568, 638, 639, 654, 653, 863, 864, 879, 878 569, 639, 640, 655, 654, 864, 865, 880, 879 570, 640, 641, 656, 655, 865, 866, 881, 880 571, 641, 642, 657, 656, 866, 867, 882, 881 572, 642, 643, 658, 657, 867, 868, 883, 882 573, 643, 644, 659, 658, 868, 869, 884, 883 574, 644, 645, 660, 659, 869, 870, 885, 884 575, 646, 647, 662, 661, 871, 872, 887, 886 576, 647, 648, 663, 662, 872, 873, 888, 887 577, 648, 649, 664, 663, 873, 874, 889, 888 578, 649, 650, 665, 664, 874, 875, 890, 889 579, 650, 651, 666, 665, 875, 876, 891, 890 580, 651, 652, 667, 666, 876, 877, 892, 891 581, 652, 653, 668, 667, 877, 878, 893, 892 582, 653, 654, 669, 668, 878, 879, 894, 893 583, 654, 655, 670, 669, 879, 880, 895, 894 584, 655, 656, 671, 670, 880, 881, 896, 895 585, 656, 657, 672, 671, 881, 882, 897, 896 586, 657, 658, 673, 672, 882, 883, 898, 897 587, 658, 659, 674, 673, 883, 884, 899, 898 588, 659, 660, 675, 674, 884, 885, 900, 899 589, 676, 677, 692, 691, 901, 902, 917, 916 590, 677, 678, 693, 692, 902, 903, 918, 917 591, 678, 679, 694, 693, 903, 904, 919, 918 592, 679, 680, 695, 694, 904, 905, 920, 919 593, 680, 681, 696, 695, 905, 906, 921, 920 594, 681, 682, 697, 696, 906, 907, 922, 921 595, 682, 683, 698, 697, 907, 908, 923, 922 596, 683, 684, 699, 698, 908, 909, 924, 923 597, 684, 685, 700, 699, 909, 910, 925, 924 598, 685, 686, 701, 700, 910, 911, 926, 925 599, 686, 687, 702, 701, 911, 912, 927, 926 600, 687, 688, 703, 702, 912, 913, 928, 927 601, 688, 689, 704, 703, 913, 914, 929, 928 602, 689, 690, 705, 704, 914, 915, 930, 929 603, 691, 692, 707, 706, 916, 917, 932, 931 604, 692, 693, 708, 707, 917, 918, 933, 932 605, 693, 694, 709, 708, 918, 919, 934, 933 606, 694, 695, 710, 709, 919, 920, 935, 934 607, 695, 696, 711, 710, 920, 921, 936, 935 608, 696, 697, 712, 711, 921, 922, 937, 936 609, 697, 698, 713, 712, 922, 923, 938, 937 610, 698, 699, 714, 713, 923, 924, 939, 938 611, 699, 700, 715, 714, 924, 925, 940, 939 612, 700, 701, 716, 715, 925, 926, 941, 940 613, 701, 702, 717, 716, 926, 927, 942, 941 614, 702, 703, 718, 717, 927, 928, 943, 942 615, 703, 704, 719, 718, 928, 929, 944, 943 616, 704, 705, 720, 719, 929, 930, 945, 944 617, 706, 707, 722, 721, 931, 932, 947, 946 618, 707, 708, 723, 722, 932, 933, 948, 947 619, 708, 709, 724, 723, 933, 934, 949, 948 620, 709, 710, 725, 724, 934, 935, 950, 949 621, 710, 711, 726, 725, 935, 936, 951, 950 622, 711, 712, 727, 726, 936, 937, 952, 951 623, 712, 713, 728, 727, 937, 938, 953, 952 624, 713, 714, 729, 728, 938, 939, 954, 953 625, 714, 715, 730, 729, 939, 940, 955, 954 626, 715, 716, 731, 730, 940, 941, 956, 955 627, 716, 717, 732, 731, 941, 942, 957, 956 628, 717, 718, 733, 732, 942, 943, 958, 957 629, 718, 719, 734, 733, 943, 944, 959, 958 630, 719, 720, 735, 734, 944, 945, 960, 959 631, 721, 722, 737, 736, 946, 947, 962, 961 632, 722, 723, 738, 737, 947, 948, 963, 962 633, 723, 724, 739, 738, 948, 949, 964, 963 634, 724, 725, 740, 739, 949, 950, 965, 964 635, 725, 726, 741, 740, 950, 951, 966, 965 636, 726, 727, 742, 741, 951, 952, 967, 966 637, 727, 728, 743, 742, 952, 953, 968, 967 638, 728, 729, 744, 743, 953, 954, 969, 968 639, 729, 730, 745, 744, 954, 955, 970, 969 640, 730, 731, 746, 745, 955, 956, 971, 970 641, 731, 732, 747, 746, 956, 957, 972, 971 642, 732, 733, 748, 747, 957, 958, 973, 972 643, 733, 734, 749, 748, 958, 959, 974, 973 644, 734, 735, 750, 749, 959, 960, 975, 974 645, 736, 737, 752, 751, 961, 962, 977, 976 646, 737, 738, 753, 752, 962, 963, 978, 977 647, 738, 739, 754, 753, 963, 964, 979, 978 648, 739, 740, 755, 754, 964, 965, 980, 979 649, 740, 741, 756, 755, 965, 966, 981, 980 650, 741, 742, 757, 756, 966, 967, 982, 981 651, 742, 743, 758, 757, 967, 968, 983, 982 652, 743, 744, 759, 758, 968, 969, 984, 983 653, 744, 745, 760, 759, 969, 970, 985, 984 654, 745, 746, 761, 760, 970, 971, 986, 985 655, 746, 747, 762, 761, 971, 972, 987, 986 656, 747, 748, 763, 762, 972, 973, 988, 987 657, 748, 749, 764, 763, 973, 974, 989, 988 658, 749, 750, 765, 764, 974, 975, 990, 989 659, 751, 752, 767, 766, 976, 977, 992, 991 660, 752, 753, 768, 767, 977, 978, 993, 992 661, 753, 754, 769, 768, 978, 979, 994, 993 662, 754, 755, 770, 769, 979, 980, 995, 994 663, 755, 756, 771, 770, 980, 981, 996, 995 664, 756, 757, 772, 771, 981, 982, 997, 996 665, 757, 758, 773, 772, 982, 983, 998, 997 666, 758, 759, 774, 773, 983, 984, 999, 998 667, 759, 760, 775, 774, 984, 985, 1000, 999 668, 760, 761, 776, 775, 985, 986, 1001, 1000 669, 761, 762, 777, 776, 986, 987, 1002, 1001 670, 762, 763, 778, 777, 987, 988, 1003, 1002 671, 763, 764, 779, 778, 988, 989, 1004, 1003 672, 764, 765, 780, 779, 989, 990, 1005, 1004 673, 766, 767, 782, 781, 991, 992, 1007, 1006 674, 767, 768, 783, 782, 992, 993, 1008, 1007 675, 768, 769, 784, 783, 993, 994, 1009, 1008 676, 769, 770, 785, 784, 994, 995, 1010, 1009 677, 770, 771, 786, 785, 995, 996, 1011, 1010 678, 771, 772, 787, 786, 996, 997, 1012, 1011 679, 772, 773, 788, 787, 997, 998, 1013, 1012 680, 773, 774, 789, 788, 998, 999, 1014, 1013 681, 774, 775, 790, 789, 999, 1000, 1015, 1014 682, 775, 776, 791, 790, 1000, 1001, 1016, 1015 683, 776, 777, 792, 791, 1001, 1002, 1017, 1016 684, 777, 778, 793, 792, 1002, 1003, 1018, 1017 685, 778, 779, 794, 793, 1003, 1004, 1019, 1018 686, 779, 780, 795, 794, 1004, 1005, 1020, 1019 687, 781, 782, 797, 796, 1006, 1007, 1022, 1021 688, 782, 783, 798, 797, 1007, 1008, 1023, 1022 689, 783, 784, 799, 798, 1008, 1009, 1024, 1023 690, 784, 785, 800, 799, 1009, 1010, 1025, 1024 691, 785, 786, 801, 800, 1010, 1011, 1026, 1025 692, 786, 787, 802, 801, 1011, 1012, 1027, 1026 693, 787, 788, 803, 802, 1012, 1013, 1028, 1027 694, 788, 789, 804, 803, 1013, 1014, 1029, 1028 695, 789, 790, 805, 804, 1014, 1015, 1030, 1029 696, 790, 791, 806, 805, 1015, 1016, 1031, 1030 697, 791, 792, 807, 806, 1016, 1017, 1032, 1031 698, 792, 793, 808, 807, 1017, 1018, 1033, 1032 699, 793, 794, 809, 808, 1018, 1019, 1034, 1033 700, 794, 795, 810, 809, 1019, 1020, 1035, 1034 701, 796, 797, 812, 811, 1021, 1022, 1037, 1036 702, 797, 798, 813, 812, 1022, 1023, 1038, 1037 703, 798, 799, 814, 813, 1023, 1024, 1039, 1038 704, 799, 800, 815, 814, 1024, 1025, 1040, 1039 705, 800, 801, 816, 815, 1025, 1026, 1041, 1040 706, 801, 802, 817, 816, 1026, 1027, 1042, 1041 707, 802, 803, 818, 817, 1027, 1028, 1043, 1042 708, 803, 804, 819, 818, 1028, 1029, 1044, 1043 709, 804, 805, 820, 819, 1029, 1030, 1045, 1044 710, 805, 806, 821, 820, 1030, 1031, 1046, 1045 711, 806, 807, 822, 821, 1031, 1032, 1047, 1046 712, 807, 808, 823, 822, 1032, 1033, 1048, 1047 713, 808, 809, 824, 823, 1033, 1034, 1049, 1048 714, 809, 810, 825, 824, 1034, 1035, 1050, 1049 715, 811, 812, 827, 826, 1036, 1037, 1052, 1051 716, 812, 813, 828, 827, 1037, 1038, 1053, 1052 717, 813, 814, 829, 828, 1038, 1039, 1054, 1053 718, 814, 815, 830, 829, 1039, 1040, 1055, 1054 719, 815, 816, 831, 830, 1040, 1041, 1056, 1055 720, 816, 817, 832, 831, 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2282, 2297, 2296 1794, 2057, 2058, 2073, 2072, 2282, 2283, 2298, 2297 1795, 2058, 2059, 2074, 2073, 2283, 2284, 2299, 2298 1796, 2059, 2060, 2075, 2074, 2284, 2285, 2300, 2299 1797, 2060, 2061, 2076, 2075, 2285, 2286, 2301, 2300 1798, 2061, 2062, 2077, 2076, 2286, 2287, 2302, 2301 1799, 2062, 2063, 2078, 2077, 2287, 2288, 2303, 2302 1800, 2063, 2064, 2079, 2078, 2288, 2289, 2304, 2303 1801, 2064, 2065, 2080, 2079, 2289, 2290, 2305, 2304 1802, 2065, 2066, 2081, 2080, 2290, 2291, 2306, 2305 1803, 2066, 2067, 2082, 2081, 2291, 2292, 2307, 2306 1804, 2067, 2068, 2083, 2082, 2292, 2293, 2308, 2307 1805, 2068, 2069, 2084, 2083, 2293, 2294, 2309, 2308 1806, 2069, 2070, 2085, 2084, 2294, 2295, 2310, 2309 1807, 2071, 2072, 2087, 2086, 2296, 2297, 2312, 2311 1808, 2072, 2073, 2088, 2087, 2297, 2298, 2313, 2312 1809, 2073, 2074, 2089, 2088, 2298, 2299, 2314, 2313 1810, 2074, 2075, 2090, 2089, 2299, 2300, 2315, 2314 1811, 2075, 2076, 2091, 2090, 2300, 2301, 2316, 2315 1812, 2076, 2077, 2092, 2091, 2301, 2302, 2317, 2316 1813, 2077, 2078, 2093, 2092, 2302, 2303, 2318, 2317 1814, 2078, 2079, 2094, 2093, 2303, 2304, 2319, 2318 1815, 2079, 2080, 2095, 2094, 2304, 2305, 2320, 2319 1816, 2080, 2081, 2096, 2095, 2305, 2306, 2321, 2320 1817, 2081, 2082, 2097, 2096, 2306, 2307, 2322, 2321 1818, 2082, 2083, 2098, 2097, 2307, 2308, 2323, 2322 1819, 2083, 2084, 2099, 2098, 2308, 2309, 2324, 2323 1820, 2084, 2085, 2100, 2099, 2309, 2310, 2325, 2324 1821, 2086, 2087, 2102, 2101, 2311, 2312, 2327, 2326 1822, 2087, 2088, 2103, 2102, 2312, 2313, 2328, 2327 1823, 2088, 2089, 2104, 2103, 2313, 2314, 2329, 2328 1824, 2089, 2090, 2105, 2104, 2314, 2315, 2330, 2329 1825, 2090, 2091, 2106, 2105, 2315, 2316, 2331, 2330 1826, 2091, 2092, 2107, 2106, 2316, 2317, 2332, 2331 1827, 2092, 2093, 2108, 2107, 2317, 2318, 2333, 2332 1828, 2093, 2094, 2109, 2108, 2318, 2319, 2334, 2333 1829, 2094, 2095, 2110, 2109, 2319, 2320, 2335, 2334 1830, 2095, 2096, 2111, 2110, 2320, 2321, 2336, 2335 1831, 2096, 2097, 2112, 2111, 2321, 2322, 2337, 2336 1832, 2097, 2098, 2113, 2112, 2322, 2323, 2338, 2337 1833, 2098, 2099, 2114, 2113, 2323, 2324, 2339, 2338 1834, 2099, 2100, 2115, 2114, 2324, 2325, 2340, 2339 1835, 2101, 2102, 2117, 2116, 2326, 2327, 2342, 2341 1836, 2102, 2103, 2118, 2117, 2327, 2328, 2343, 2342 1837, 2103, 2104, 2119, 2118, 2328, 2329, 2344, 2343 1838, 2104, 2105, 2120, 2119, 2329, 2330, 2345, 2344 1839, 2105, 2106, 2121, 2120, 2330, 2331, 2346, 2345 1840, 2106, 2107, 2122, 2121, 2331, 2332, 2347, 2346 1841, 2107, 2108, 2123, 2122, 2332, 2333, 2348, 2347 1842, 2108, 2109, 2124, 2123, 2333, 2334, 2349, 2348 1843, 2109, 2110, 2125, 2124, 2334, 2335, 2350, 2349 1844, 2110, 2111, 2126, 2125, 2335, 2336, 2351, 2350 1845, 2111, 2112, 2127, 2126, 2336, 2337, 2352, 2351 1846, 2112, 2113, 2128, 2127, 2337, 2338, 2353, 2352 1847, 2113, 2114, 2129, 2128, 2338, 2339, 2354, 2353 1848, 2114, 2115, 2130, 2129, 2339, 2340, 2355, 2354 1849, 2116, 2117, 2132, 2131, 2341, 2342, 2357, 2356 1850, 2117, 2118, 2133, 2132, 2342, 2343, 2358, 2357 1851, 2118, 2119, 2134, 2133, 2343, 2344, 2359, 2358 1852, 2119, 2120, 2135, 2134, 2344, 2345, 2360, 2359 1853, 2120, 2121, 2136, 2135, 2345, 2346, 2361, 2360 1854, 2121, 2122, 2137, 2136, 2346, 2347, 2362, 2361 1855, 2122, 2123, 2138, 2137, 2347, 2348, 2363, 2362 1856, 2123, 2124, 2139, 2138, 2348, 2349, 2364, 2363 1857, 2124, 2125, 2140, 2139, 2349, 2350, 2365, 2364 1858, 2125, 2126, 2141, 2140, 2350, 2351, 2366, 2365 1859, 2126, 2127, 2142, 2141, 2351, 2352, 2367, 2366 1860, 2127, 2128, 2143, 2142, 2352, 2353, 2368, 2367 1861, 2128, 2129, 2144, 2143, 2353, 2354, 2369, 2368 1862, 2129, 2130, 2145, 2144, 2354, 2355, 2370, 2369 1863, 2131, 2132, 2147, 2146, 2356, 2357, 2372, 2371 1864, 2132, 2133, 2148, 2147, 2357, 2358, 2373, 2372 1865, 2133, 2134, 2149, 2148, 2358, 2359, 2374, 2373 1866, 2134, 2135, 2150, 2149, 2359, 2360, 2375, 2374 1867, 2135, 2136, 2151, 2150, 2360, 2361, 2376, 2375 1868, 2136, 2137, 2152, 2151, 2361, 2362, 2377, 2376 1869, 2137, 2138, 2153, 2152, 2362, 2363, 2378, 2377 1870, 2138, 2139, 2154, 2153, 2363, 2364, 2379, 2378 1871, 2139, 2140, 2155, 2154, 2364, 2365, 2380, 2379 1872, 2140, 2141, 2156, 2155, 2365, 2366, 2381, 2380 1873, 2141, 2142, 2157, 2156, 2366, 2367, 2382, 2381 1874, 2142, 2143, 2158, 2157, 2367, 2368, 2383, 2382 1875, 2143, 2144, 2159, 2158, 2368, 2369, 2384, 2383 1876, 2144, 2145, 2160, 2159, 2369, 2370, 2385, 2384 1877, 2146, 2147, 2162, 2161, 2371, 2372, 2387, 2386 1878, 2147, 2148, 2163, 2162, 2372, 2373, 2388, 2387 1879, 2148, 2149, 2164, 2163, 2373, 2374, 2389, 2388 1880, 2149, 2150, 2165, 2164, 2374, 2375, 2390, 2389 1881, 2150, 2151, 2166, 2165, 2375, 2376, 2391, 2390 1882, 2151, 2152, 2167, 2166, 2376, 2377, 2392, 2391 1883, 2152, 2153, 2168, 2167, 2377, 2378, 2393, 2392 1884, 2153, 2154, 2169, 2168, 2378, 2379, 2394, 2393 1885, 2154, 2155, 2170, 2169, 2379, 2380, 2395, 2394 1886, 2155, 2156, 2171, 2170, 2380, 2381, 2396, 2395 1887, 2156, 2157, 2172, 2171, 2381, 2382, 2397, 2396 1888, 2157, 2158, 2173, 2172, 2382, 2383, 2398, 2397 1889, 2158, 2159, 2174, 2173, 2383, 2384, 2399, 2398 1890, 2159, 2160, 2175, 2174, 2384, 2385, 2400, 2399 1891, 2161, 2162, 2177, 2176, 2386, 2387, 2402, 2401 1892, 2162, 2163, 2178, 2177, 2387, 2388, 2403, 2402 1893, 2163, 2164, 2179, 2178, 2388, 2389, 2404, 2403 1894, 2164, 2165, 2180, 2179, 2389, 2390, 2405, 2404 1895, 2165, 2166, 2181, 2180, 2390, 2391, 2406, 2405 1896, 2166, 2167, 2182, 2181, 2391, 2392, 2407, 2406 1897, 2167, 2168, 2183, 2182, 2392, 2393, 2408, 2407 1898, 2168, 2169, 2184, 2183, 2393, 2394, 2409, 2408 1899, 2169, 2170, 2185, 2184, 2394, 2395, 2410, 2409 1900, 2170, 2171, 2186, 2185, 2395, 2396, 2411, 2410 1901, 2171, 2172, 2187, 2186, 2396, 2397, 2412, 2411 1902, 2172, 2173, 2188, 2187, 2397, 2398, 2413, 2412 1903, 2173, 2174, 2189, 2188, 2398, 2399, 2414, 2413 1904, 2174, 2175, 2190, 2189, 2399, 2400, 2415, 2414 1905, 2176, 2177, 2192, 2191, 2401, 2402, 2417, 2416 1906, 2177, 2178, 2193, 2192, 2402, 2403, 2418, 2417 1907, 2178, 2179, 2194, 2193, 2403, 2404, 2419, 2418 1908, 2179, 2180, 2195, 2194, 2404, 2405, 2420, 2419 1909, 2180, 2181, 2196, 2195, 2405, 2406, 2421, 2420 1910, 2181, 2182, 2197, 2196, 2406, 2407, 2422, 2421 1911, 2182, 2183, 2198, 2197, 2407, 2408, 2423, 2422 1912, 2183, 2184, 2199, 2198, 2408, 2409, 2424, 2423 1913, 2184, 2185, 2200, 2199, 2409, 2410, 2425, 2424 1914, 2185, 2186, 2201, 2200, 2410, 2411, 2426, 2425 1915, 2186, 2187, 2202, 2201, 2411, 2412, 2427, 2426 1916, 2187, 2188, 2203, 2202, 2412, 2413, 2428, 2427 1917, 2188, 2189, 2204, 2203, 2413, 2414, 2429, 2428 1918, 2189, 2190, 2205, 2204, 2414, 2415, 2430, 2429 1919, 2191, 2192, 2207, 2206, 2416, 2417, 2432, 2431 1920, 2192, 2193, 2208, 2207, 2417, 2418, 2433, 2432 1921, 2193, 2194, 2209, 2208, 2418, 2419, 2434, 2433 1922, 2194, 2195, 2210, 2209, 2419, 2420, 2435, 2434 1923, 2195, 2196, 2211, 2210, 2420, 2421, 2436, 2435 1924, 2196, 2197, 2212, 2211, 2421, 2422, 2437, 2436 1925, 2197, 2198, 2213, 2212, 2422, 2423, 2438, 2437 1926, 2198, 2199, 2214, 2213, 2423, 2424, 2439, 2438 1927, 2199, 2200, 2215, 2214, 2424, 2425, 2440, 2439 1928, 2200, 2201, 2216, 2215, 2425, 2426, 2441, 2440 1929, 2201, 2202, 2217, 2216, 2426, 2427, 2442, 2441 1930, 2202, 2203, 2218, 2217, 2427, 2428, 2443, 2442 1931, 2203, 2204, 2219, 2218, 2428, 2429, 2444, 2443 1932, 2204, 2205, 2220, 2219, 2429, 2430, 2445, 2444 1933, 2206, 2207, 2222, 2221, 2431, 2432, 2447, 2446 1934, 2207, 2208, 2223, 2222, 2432, 2433, 2448, 2447 1935, 2208, 2209, 2224, 2223, 2433, 2434, 2449, 2448 1936, 2209, 2210, 2225, 2224, 2434, 2435, 2450, 2449 1937, 2210, 2211, 2226, 2225, 2435, 2436, 2451, 2450 1938, 2211, 2212, 2227, 2226, 2436, 2437, 2452, 2451 1939, 2212, 2213, 2228, 2227, 2437, 2438, 2453, 2452 1940, 2213, 2214, 2229, 2228, 2438, 2439, 2454, 2453 1941, 2214, 2215, 2230, 2229, 2439, 2440, 2455, 2454 1942, 2215, 2216, 2231, 2230, 2440, 2441, 2456, 2455 1943, 2216, 2217, 2232, 2231, 2441, 2442, 2457, 2456 1944, 2217, 2218, 2233, 2232, 2442, 2443, 2458, 2457 1945, 2218, 2219, 2234, 2233, 2443, 2444, 2459, 2458 1946, 2219, 2220, 2235, 2234, 2444, 2445, 2460, 2459 1947, 2221, 2222, 2237, 2236, 2446, 2447, 2462, 2461 1948, 2222, 2223, 2238, 2237, 2447, 2448, 2463, 2462 1949, 2223, 2224, 2239, 2238, 2448, 2449, 2464, 2463 1950, 2224, 2225, 2240, 2239, 2449, 2450, 2465, 2464 1951, 2225, 2226, 2241, 2240, 2450, 2451, 2466, 2465 1952, 2226, 2227, 2242, 2241, 2451, 2452, 2467, 2466 1953, 2227, 2228, 2243, 2242, 2452, 2453, 2468, 2467 1954, 2228, 2229, 2244, 2243, 2453, 2454, 2469, 2468 1955, 2229, 2230, 2245, 2244, 2454, 2455, 2470, 2469 1956, 2230, 2231, 2246, 2245, 2455, 2456, 2471, 2470 1957, 2231, 2232, 2247, 2246, 2456, 2457, 2472, 2471 1958, 2232, 2233, 2248, 2247, 2457, 2458, 2473, 2472 1959, 2233, 2234, 2249, 2248, 2458, 2459, 2474, 2473 1960, 2234, 2235, 2250, 2249, 2459, 2460, 2475, 2474 1961, 2251, 2252, 2267, 2266, 2476, 2477, 2492, 2491 1962, 2252, 2253, 2268, 2267, 2477, 2478, 2493, 2492 1963, 2253, 2254, 2269, 2268, 2478, 2479, 2494, 2493 1964, 2254, 2255, 2270, 2269, 2479, 2480, 2495, 2494 1965, 2255, 2256, 2271, 2270, 2480, 2481, 2496, 2495 1966, 2256, 2257, 2272, 2271, 2481, 2482, 2497, 2496 1967, 2257, 2258, 2273, 2272, 2482, 2483, 2498, 2497 1968, 2258, 2259, 2274, 2273, 2483, 2484, 2499, 2498 1969, 2259, 2260, 2275, 2274, 2484, 2485, 2500, 2499 1970, 2260, 2261, 2276, 2275, 2485, 2486, 2501, 2500 1971, 2261, 2262, 2277, 2276, 2486, 2487, 2502, 2501 1972, 2262, 2263, 2278, 2277, 2487, 2488, 2503, 2502 1973, 2263, 2264, 2279, 2278, 2488, 2489, 2504, 2503 1974, 2264, 2265, 2280, 2279, 2489, 2490, 2505, 2504 1975, 2266, 2267, 2282, 2281, 2491, 2492, 2507, 2506 1976, 2267, 2268, 2283, 2282, 2492, 2493, 2508, 2507 1977, 2268, 2269, 2284, 2283, 2493, 2494, 2509, 2508 1978, 2269, 2270, 2285, 2284, 2494, 2495, 2510, 2509 1979, 2270, 2271, 2286, 2285, 2495, 2496, 2511, 2510 1980, 2271, 2272, 2287, 2286, 2496, 2497, 2512, 2511 1981, 2272, 2273, 2288, 2287, 2497, 2498, 2513, 2512 1982, 2273, 2274, 2289, 2288, 2498, 2499, 2514, 2513 1983, 2274, 2275, 2290, 2289, 2499, 2500, 2515, 2514 1984, 2275, 2276, 2291, 2290, 2500, 2501, 2516, 2515 1985, 2276, 2277, 2292, 2291, 2501, 2502, 2517, 2516 1986, 2277, 2278, 2293, 2292, 2502, 2503, 2518, 2517 1987, 2278, 2279, 2294, 2293, 2503, 2504, 2519, 2518 1988, 2279, 2280, 2295, 2294, 2504, 2505, 2520, 2519 1989, 2281, 2282, 2297, 2296, 2506, 2507, 2522, 2521 1990, 2282, 2283, 2298, 2297, 2507, 2508, 2523, 2522 1991, 2283, 2284, 2299, 2298, 2508, 2509, 2524, 2523 1992, 2284, 2285, 2300, 2299, 2509, 2510, 2525, 2524 1993, 2285, 2286, 2301, 2300, 2510, 2511, 2526, 2525 1994, 2286, 2287, 2302, 2301, 2511, 2512, 2527, 2526 1995, 2287, 2288, 2303, 2302, 2512, 2513, 2528, 2527 1996, 2288, 2289, 2304, 2303, 2513, 2514, 2529, 2528 1997, 2289, 2290, 2305, 2304, 2514, 2515, 2530, 2529 1998, 2290, 2291, 2306, 2305, 2515, 2516, 2531, 2530 1999, 2291, 2292, 2307, 2306, 2516, 2517, 2532, 2531 2000, 2292, 2293, 2308, 2307, 2517, 2518, 2533, 2532 2001, 2293, 2294, 2309, 2308, 2518, 2519, 2534, 2533 2002, 2294, 2295, 2310, 2309, 2519, 2520, 2535, 2534 2003, 2296, 2297, 2312, 2311, 2521, 2522, 2537, 2536 2004, 2297, 2298, 2313, 2312, 2522, 2523, 2538, 2537 2005, 2298, 2299, 2314, 2313, 2523, 2524, 2539, 2538 2006, 2299, 2300, 2315, 2314, 2524, 2525, 2540, 2539 2007, 2300, 2301, 2316, 2315, 2525, 2526, 2541, 2540 2008, 2301, 2302, 2317, 2316, 2526, 2527, 2542, 2541 2009, 2302, 2303, 2318, 2317, 2527, 2528, 2543, 2542 2010, 2303, 2304, 2319, 2318, 2528, 2529, 2544, 2543 2011, 2304, 2305, 2320, 2319, 2529, 2530, 2545, 2544 2012, 2305, 2306, 2321, 2320, 2530, 2531, 2546, 2545 2013, 2306, 2307, 2322, 2321, 2531, 2532, 2547, 2546 2014, 2307, 2308, 2323, 2322, 2532, 2533, 2548, 2547 2015, 2308, 2309, 2324, 2323, 2533, 2534, 2549, 2548 2016, 2309, 2310, 2325, 2324, 2534, 2535, 2550, 2549 2017, 2311, 2312, 2327, 2326, 2536, 2537, 2552, 2551 2018, 2312, 2313, 2328, 2327, 2537, 2538, 2553, 2552 2019, 2313, 2314, 2329, 2328, 2538, 2539, 2554, 2553 2020, 2314, 2315, 2330, 2329, 2539, 2540, 2555, 2554 2021, 2315, 2316, 2331, 2330, 2540, 2541, 2556, 2555 2022, 2316, 2317, 2332, 2331, 2541, 2542, 2557, 2556 2023, 2317, 2318, 2333, 2332, 2542, 2543, 2558, 2557 2024, 2318, 2319, 2334, 2333, 2543, 2544, 2559, 2558 2025, 2319, 2320, 2335, 2334, 2544, 2545, 2560, 2559 2026, 2320, 2321, 2336, 2335, 2545, 2546, 2561, 2560 2027, 2321, 2322, 2337, 2336, 2546, 2547, 2562, 2561 2028, 2322, 2323, 2338, 2337, 2547, 2548, 2563, 2562 2029, 2323, 2324, 2339, 2338, 2548, 2549, 2564, 2563 2030, 2324, 2325, 2340, 2339, 2549, 2550, 2565, 2564 2031, 2326, 2327, 2342, 2341, 2551, 2552, 2567, 2566 2032, 2327, 2328, 2343, 2342, 2552, 2553, 2568, 2567 2033, 2328, 2329, 2344, 2343, 2553, 2554, 2569, 2568 2034, 2329, 2330, 2345, 2344, 2554, 2555, 2570, 2569 2035, 2330, 2331, 2346, 2345, 2555, 2556, 2571, 2570 2036, 2331, 2332, 2347, 2346, 2556, 2557, 2572, 2571 2037, 2332, 2333, 2348, 2347, 2557, 2558, 2573, 2572 2038, 2333, 2334, 2349, 2348, 2558, 2559, 2574, 2573 2039, 2334, 2335, 2350, 2349, 2559, 2560, 2575, 2574 2040, 2335, 2336, 2351, 2350, 2560, 2561, 2576, 2575 2041, 2336, 2337, 2352, 2351, 2561, 2562, 2577, 2576 2042, 2337, 2338, 2353, 2352, 2562, 2563, 2578, 2577 2043, 2338, 2339, 2354, 2353, 2563, 2564, 2579, 2578 2044, 2339, 2340, 2355, 2354, 2564, 2565, 2580, 2579 2045, 2341, 2342, 2357, 2356, 2566, 2567, 2582, 2581 2046, 2342, 2343, 2358, 2357, 2567, 2568, 2583, 2582 2047, 2343, 2344, 2359, 2358, 2568, 2569, 2584, 2583 2048, 2344, 2345, 2360, 2359, 2569, 2570, 2585, 2584 2049, 2345, 2346, 2361, 2360, 2570, 2571, 2586, 2585 2050, 2346, 2347, 2362, 2361, 2571, 2572, 2587, 2586 2051, 2347, 2348, 2363, 2362, 2572, 2573, 2588, 2587 2052, 2348, 2349, 2364, 2363, 2573, 2574, 2589, 2588 2053, 2349, 2350, 2365, 2364, 2574, 2575, 2590, 2589 2054, 2350, 2351, 2366, 2365, 2575, 2576, 2591, 2590 2055, 2351, 2352, 2367, 2366, 2576, 2577, 2592, 2591 2056, 2352, 2353, 2368, 2367, 2577, 2578, 2593, 2592 2057, 2353, 2354, 2369, 2368, 2578, 2579, 2594, 2593 2058, 2354, 2355, 2370, 2369, 2579, 2580, 2595, 2594 2059, 2356, 2357, 2372, 2371, 2581, 2582, 2597, 2596 2060, 2357, 2358, 2373, 2372, 2582, 2583, 2598, 2597 2061, 2358, 2359, 2374, 2373, 2583, 2584, 2599, 2598 2062, 2359, 2360, 2375, 2374, 2584, 2585, 2600, 2599 2063, 2360, 2361, 2376, 2375, 2585, 2586, 2601, 2600 2064, 2361, 2362, 2377, 2376, 2586, 2587, 2602, 2601 2065, 2362, 2363, 2378, 2377, 2587, 2588, 2603, 2602 2066, 2363, 2364, 2379, 2378, 2588, 2589, 2604, 2603 2067, 2364, 2365, 2380, 2379, 2589, 2590, 2605, 2604 2068, 2365, 2366, 2381, 2380, 2590, 2591, 2606, 2605 2069, 2366, 2367, 2382, 2381, 2591, 2592, 2607, 2606 2070, 2367, 2368, 2383, 2382, 2592, 2593, 2608, 2607 2071, 2368, 2369, 2384, 2383, 2593, 2594, 2609, 2608 2072, 2369, 2370, 2385, 2384, 2594, 2595, 2610, 2609 2073, 2371, 2372, 2387, 2386, 2596, 2597, 2612, 2611 2074, 2372, 2373, 2388, 2387, 2597, 2598, 2613, 2612 2075, 2373, 2374, 2389, 2388, 2598, 2599, 2614, 2613 2076, 2374, 2375, 2390, 2389, 2599, 2600, 2615, 2614 2077, 2375, 2376, 2391, 2390, 2600, 2601, 2616, 2615 2078, 2376, 2377, 2392, 2391, 2601, 2602, 2617, 2616 2079, 2377, 2378, 2393, 2392, 2602, 2603, 2618, 2617 2080, 2378, 2379, 2394, 2393, 2603, 2604, 2619, 2618 2081, 2379, 2380, 2395, 2394, 2604, 2605, 2620, 2619 2082, 2380, 2381, 2396, 2395, 2605, 2606, 2621, 2620 2083, 2381, 2382, 2397, 2396, 2606, 2607, 2622, 2621 2084, 2382, 2383, 2398, 2397, 2607, 2608, 2623, 2622 2085, 2383, 2384, 2399, 2398, 2608, 2609, 2624, 2623 2086, 2384, 2385, 2400, 2399, 2609, 2610, 2625, 2624 2087, 2386, 2387, 2402, 2401, 2611, 2612, 2627, 2626 2088, 2387, 2388, 2403, 2402, 2612, 2613, 2628, 2627 2089, 2388, 2389, 2404, 2403, 2613, 2614, 2629, 2628 2090, 2389, 2390, 2405, 2404, 2614, 2615, 2630, 2629 2091, 2390, 2391, 2406, 2405, 2615, 2616, 2631, 2630 2092, 2391, 2392, 2407, 2406, 2616, 2617, 2632, 2631 2093, 2392, 2393, 2408, 2407, 2617, 2618, 2633, 2632 2094, 2393, 2394, 2409, 2408, 2618, 2619, 2634, 2633 2095, 2394, 2395, 2410, 2409, 2619, 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3007, 3022, 3021, 3231, 3232, 3247, 3246 2625, 3007, 3008, 3023, 3022, 3232, 3233, 3248, 3247 2626, 3008, 3009, 3024, 3023, 3233, 3234, 3249, 3248 2627, 3009, 3010, 3025, 3024, 3234, 3235, 3250, 3249 2628, 3010, 3011, 3026, 3025, 3235, 3236, 3251, 3250 2629, 3011, 3012, 3027, 3026, 3236, 3237, 3252, 3251 2630, 3012, 3013, 3028, 3027, 3237, 3238, 3253, 3252 2631, 3013, 3014, 3029, 3028, 3238, 3239, 3254, 3253 2632, 3014, 3015, 3030, 3029, 3239, 3240, 3255, 3254 2633, 3016, 3017, 3032, 3031, 3241, 3242, 3257, 3256 2634, 3017, 3018, 3033, 3032, 3242, 3243, 3258, 3257 2635, 3018, 3019, 3034, 3033, 3243, 3244, 3259, 3258 2636, 3019, 3020, 3035, 3034, 3244, 3245, 3260, 3259 2637, 3020, 3021, 3036, 3035, 3245, 3246, 3261, 3260 2638, 3021, 3022, 3037, 3036, 3246, 3247, 3262, 3261 2639, 3022, 3023, 3038, 3037, 3247, 3248, 3263, 3262 2640, 3023, 3024, 3039, 3038, 3248, 3249, 3264, 3263 2641, 3024, 3025, 3040, 3039, 3249, 3250, 3265, 3264 2642, 3025, 3026, 3041, 3040, 3250, 3251, 3266, 3265 2643, 3026, 3027, 3042, 3041, 3251, 3252, 3267, 3266 2644, 3027, 3028, 3043, 3042, 3252, 3253, 3268, 3267 2645, 3028, 3029, 3044, 3043, 3253, 3254, 3269, 3268 2646, 3029, 3030, 3045, 3044, 3254, 3255, 3270, 3269 2647, 3031, 3032, 3047, 3046, 3256, 3257, 3272, 3271 2648, 3032, 3033, 3048, 3047, 3257, 3258, 3273, 3272 2649, 3033, 3034, 3049, 3048, 3258, 3259, 3274, 3273 2650, 3034, 3035, 3050, 3049, 3259, 3260, 3275, 3274 2651, 3035, 3036, 3051, 3050, 3260, 3261, 3276, 3275 2652, 3036, 3037, 3052, 3051, 3261, 3262, 3277, 3276 2653, 3037, 3038, 3053, 3052, 3262, 3263, 3278, 3277 2654, 3038, 3039, 3054, 3053, 3263, 3264, 3279, 3278 2655, 3039, 3040, 3055, 3054, 3264, 3265, 3280, 3279 2656, 3040, 3041, 3056, 3055, 3265, 3266, 3281, 3280 2657, 3041, 3042, 3057, 3056, 3266, 3267, 3282, 3281 2658, 3042, 3043, 3058, 3057, 3267, 3268, 3283, 3282 2659, 3043, 3044, 3059, 3058, 3268, 3269, 3284, 3283 2660, 3044, 3045, 3060, 3059, 3269, 3270, 3285, 3284 2661, 3046, 3047, 3062, 3061, 3271, 3272, 3287, 3286 2662, 3047, 3048, 3063, 3062, 3272, 3273, 3288, 3287 2663, 3048, 3049, 3064, 3063, 3273, 3274, 3289, 3288 2664, 3049, 3050, 3065, 3064, 3274, 3275, 3290, 3289 2665, 3050, 3051, 3066, 3065, 3275, 3276, 3291, 3290 2666, 3051, 3052, 3067, 3066, 3276, 3277, 3292, 3291 2667, 3052, 3053, 3068, 3067, 3277, 3278, 3293, 3292 2668, 3053, 3054, 3069, 3068, 3278, 3279, 3294, 3293 2669, 3054, 3055, 3070, 3069, 3279, 3280, 3295, 3294 2670, 3055, 3056, 3071, 3070, 3280, 3281, 3296, 3295 2671, 3056, 3057, 3072, 3071, 3281, 3282, 3297, 3296 2672, 3057, 3058, 3073, 3072, 3282, 3283, 3298, 3297 2673, 3058, 3059, 3074, 3073, 3283, 3284, 3299, 3298 2674, 3059, 3060, 3075, 3074, 3284, 3285, 3300, 3299 2675, 3061, 3062, 3077, 3076, 3286, 3287, 3302, 3301 2676, 3062, 3063, 3078, 3077, 3287, 3288, 3303, 3302 2677, 3063, 3064, 3079, 3078, 3288, 3289, 3304, 3303 2678, 3064, 3065, 3080, 3079, 3289, 3290, 3305, 3304 2679, 3065, 3066, 3081, 3080, 3290, 3291, 3306, 3305 2680, 3066, 3067, 3082, 3081, 3291, 3292, 3307, 3306 2681, 3067, 3068, 3083, 3082, 3292, 3293, 3308, 3307 2682, 3068, 3069, 3084, 3083, 3293, 3294, 3309, 3308 2683, 3069, 3070, 3085, 3084, 3294, 3295, 3310, 3309 2684, 3070, 3071, 3086, 3085, 3295, 3296, 3311, 3310 2685, 3071, 3072, 3087, 3086, 3296, 3297, 3312, 3311 2686, 3072, 3073, 3088, 3087, 3297, 3298, 3313, 3312 2687, 3073, 3074, 3089, 3088, 3298, 3299, 3314, 3313 2688, 3074, 3075, 3090, 3089, 3299, 3300, 3315, 3314 2689, 3076, 3077, 3092, 3091, 3301, 3302, 3317, 3316 2690, 3077, 3078, 3093, 3092, 3302, 3303, 3318, 3317 2691, 3078, 3079, 3094, 3093, 3303, 3304, 3319, 3318 2692, 3079, 3080, 3095, 3094, 3304, 3305, 3320, 3319 2693, 3080, 3081, 3096, 3095, 3305, 3306, 3321, 3320 2694, 3081, 3082, 3097, 3096, 3306, 3307, 3322, 3321 2695, 3082, 3083, 3098, 3097, 3307, 3308, 3323, 3322 2696, 3083, 3084, 3099, 3098, 3308, 3309, 3324, 3323 2697, 3084, 3085, 3100, 3099, 3309, 3310, 3325, 3324 2698, 3085, 3086, 3101, 3100, 3310, 3311, 3326, 3325 2699, 3086, 3087, 3102, 3101, 3311, 3312, 3327, 3326 2700, 3087, 3088, 3103, 3102, 3312, 3313, 3328, 3327 2701, 3088, 3089, 3104, 3103, 3313, 3314, 3329, 3328 2702, 3089, 3090, 3105, 3104, 3314, 3315, 3330, 3329 2703, 3091, 3092, 3107, 3106, 3316, 3317, 3332, 3331 2704, 3092, 3093, 3108, 3107, 3317, 3318, 3333, 3332 2705, 3093, 3094, 3109, 3108, 3318, 3319, 3334, 3333 2706, 3094, 3095, 3110, 3109, 3319, 3320, 3335, 3334 2707, 3095, 3096, 3111, 3110, 3320, 3321, 3336, 3335 2708, 3096, 3097, 3112, 3111, 3321, 3322, 3337, 3336 2709, 3097, 3098, 3113, 3112, 3322, 3323, 3338, 3337 2710, 3098, 3099, 3114, 3113, 3323, 3324, 3339, 3338 2711, 3099, 3100, 3115, 3114, 3324, 3325, 3340, 3339 2712, 3100, 3101, 3116, 3115, 3325, 3326, 3341, 3340 2713, 3101, 3102, 3117, 3116, 3326, 3327, 3342, 3341 2714, 3102, 3103, 3118, 3117, 3327, 3328, 3343, 3342 2715, 3103, 3104, 3119, 3118, 3328, 3329, 3344, 3343 2716, 3104, 3105, 3120, 3119, 3329, 3330, 3345, 3344 2717, 3106, 3107, 3122, 3121, 3331, 3332, 3347, 3346 2718, 3107, 3108, 3123, 3122, 3332, 3333, 3348, 3347 2719, 3108, 3109, 3124, 3123, 3333, 3334, 3349, 3348 2720, 3109, 3110, 3125, 3124, 3334, 3335, 3350, 3349 2721, 3110, 3111, 3126, 3125, 3335, 3336, 3351, 3350 2722, 3111, 3112, 3127, 3126, 3336, 3337, 3352, 3351 2723, 3112, 3113, 3128, 3127, 3337, 3338, 3353, 3352 2724, 3113, 3114, 3129, 3128, 3338, 3339, 3354, 3353 2725, 3114, 3115, 3130, 3129, 3339, 3340, 3355, 3354 2726, 3115, 3116, 3131, 3130, 3340, 3341, 3356, 3355 2727, 3116, 3117, 3132, 3131, 3341, 3342, 3357, 3356 2728, 3117, 3118, 3133, 3132, 3342, 3343, 3358, 3357 2729, 3118, 3119, 3134, 3133, 3343, 3344, 3359, 3358 2730, 3119, 3120, 3135, 3134, 3344, 3345, 3360, 3359 2731, 3121, 3122, 3137, 3136, 3346, 3347, 3362, 3361 2732, 3122, 3123, 3138, 3137, 3347, 3348, 3363, 3362 2733, 3123, 3124, 3139, 3138, 3348, 3349, 3364, 3363 2734, 3124, 3125, 3140, 3139, 3349, 3350, 3365, 3364 2735, 3125, 3126, 3141, 3140, 3350, 3351, 3366, 3365 2736, 3126, 3127, 3142, 3141, 3351, 3352, 3367, 3366 2737, 3127, 3128, 3143, 3142, 3352, 3353, 3368, 3367 2738, 3128, 3129, 3144, 3143, 3353, 3354, 3369, 3368 2739, 3129, 3130, 3145, 3144, 3354, 3355, 3370, 3369 2740, 3130, 3131, 3146, 3145, 3355, 3356, 3371, 3370 2741, 3131, 3132, 3147, 3146, 3356, 3357, 3372, 3371 2742, 3132, 3133, 3148, 3147, 3357, 3358, 3373, 3372 2743, 3133, 3134, 3149, 3148, 3358, 3359, 3374, 3373 2744, 3134, 3135, 3150, 3149, 3359, 3360, 3375, 3374 *End Instance ** *End Assembly **MATERIALS ** *Material, name=MATERIAL-GRAIN1 *Depvar 12, *User Material, constants=250 108.8257, 114.8205, -200.6181, 1, 2, 1, 12, 6 0, 0.31, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 1, 0, 0, 0, 0, 1, 0, 0 0, 1, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 16, 16, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, *Material, name=MATERIAL-GRAIN2 *Depvar 12, *User Material, constants=250 -80.5054, 82.0742, 17.3422, 2, 2, 1, 12, 6 0, 0.31, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 1, 0, 0, 0, 0, 1, 0, 0 0, 1, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 16, 16, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, *Material, name=MATERIAL-GRAIN3 *Depvar 12, *User Material, constants=250 149.6665, 80.49079, -78.76342, 3, 2, 1, 12, 6 0, 0.31, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 1, 0, 0, 0, 0, 1, 0, 0 0, 1, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 16, 16, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, *Material, name=MATERIAL-GRAIN4 *Depvar 12, *User Material, constants=250 28.10359, 108.188, -63.61463, 4, 2, 1, 12, 6 0, 0.31, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 1, 0, 0, 0, 0, 1, 0, 0 0, 1, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 16, 16, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, *Material, name=MATERIAL-GRAIN5 *Depvar 12, *User Material, constants=250 98.38628, 154.3993, -108.6097, 5, 2, 1, 12, 6 0, 0.31, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 1, 0, 0, 0, 0, 1, 0, 0 0, 1, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 16, 16, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 0, 0, 0, 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0.500000000000 0.571428571429 1915 0.642857142857 0.500000000000 0.571428571429 1916 0.714285714286 0.500000000000 0.571428571429 1917 0.785714285714 0.500000000000 0.571428571429 1918 0.857142857143 0.500000000000 0.571428571429 1919 0.928571428571 0.500000000000 0.571428571429 1920 1.000000000000 0.500000000000 0.571428571429 1921 0.000000000000 0.571428571429 0.571428571429 1922 0.071428571429 0.571428571429 0.571428571429 1923 0.142857142857 0.571428571429 0.571428571429 1924 0.214285714286 0.571428571429 0.571428571429 1925 0.285714285714 0.571428571429 0.571428571429 1926 0.357142857143 0.571428571429 0.571428571429 1927 0.428571428571 0.571428571429 0.571428571429 1928 0.500000000000 0.571428571429 0.571428571429 1929 0.571428571429 0.571428571429 0.571428571429 1930 0.642857142857 0.571428571429 0.571428571429 1931 0.714285714286 0.571428571429 0.571428571429 1932 0.785714285714 0.571428571429 0.571428571429 1933 0.857142857143 0.571428571429 0.571428571429 1934 0.928571428571 0.571428571429 0.571428571429 1935 1.000000000000 0.571428571429 0.571428571429 1936 0.000000000000 0.642857142857 0.571428571429 1937 0.071428571429 0.642857142857 0.571428571429 1938 0.142857142857 0.642857142857 0.571428571429 1939 0.214285714286 0.642857142857 0.571428571429 1940 0.285714285714 0.642857142857 0.571428571429 1941 0.357142857143 0.642857142857 0.571428571429 1942 0.428571428571 0.642857142857 0.571428571429 1943 0.500000000000 0.642857142857 0.571428571429 1944 0.571428571429 0.642857142857 0.571428571429 1945 0.642857142857 0.642857142857 0.571428571429 1946 0.714285714286 0.642857142857 0.571428571429 1947 0.785714285714 0.642857142857 0.571428571429 1948 0.857142857143 0.642857142857 0.571428571429 1949 0.928571428571 0.642857142857 0.571428571429 1950 1.000000000000 0.642857142857 0.571428571429 1951 0.000000000000 0.714285714286 0.571428571429 1952 0.071428571429 0.714285714286 0.571428571429 1953 0.142857142857 0.714285714286 0.571428571429 1954 0.214285714286 0.714285714286 0.571428571429 1955 0.285714285714 0.714285714286 0.571428571429 1956 0.357142857143 0.714285714286 0.571428571429 1957 0.428571428571 0.714285714286 0.571428571429 1958 0.500000000000 0.714285714286 0.571428571429 1959 0.571428571429 0.714285714286 0.571428571429 1960 0.642857142857 0.714285714286 0.571428571429 1961 0.714285714286 0.714285714286 0.571428571429 1962 0.785714285714 0.714285714286 0.571428571429 1963 0.857142857143 0.714285714286 0.571428571429 1964 0.928571428571 0.714285714286 0.571428571429 1965 1.000000000000 0.714285714286 0.571428571429 1966 0.000000000000 0.785714285714 0.571428571429 1967 0.071428571429 0.785714285714 0.571428571429 1968 0.142857142857 0.785714285714 0.571428571429 1969 0.214285714286 0.785714285714 0.571428571429 1970 0.285714285714 0.785714285714 0.571428571429 1971 0.357142857143 0.785714285714 0.571428571429 1972 0.428571428571 0.785714285714 0.571428571429 1973 0.500000000000 0.785714285714 0.571428571429 1974 0.571428571429 0.785714285714 0.571428571429 1975 0.642857142857 0.785714285714 0.571428571429 1976 0.714285714286 0.785714285714 0.571428571429 1977 0.785714285714 0.785714285714 0.571428571429 1978 0.857142857143 0.785714285714 0.571428571429 1979 0.928571428571 0.785714285714 0.571428571429 1980 1.000000000000 0.785714285714 0.571428571429 1981 0.000000000000 0.857142857143 0.571428571429 1982 0.071428571429 0.857142857143 0.571428571429 1983 0.142857142857 0.857142857143 0.571428571429 1984 0.214285714286 0.857142857143 0.571428571429 1985 0.285714285714 0.857142857143 0.571428571429 1986 0.357142857143 0.857142857143 0.571428571429 1987 0.428571428571 0.857142857143 0.571428571429 1988 0.500000000000 0.857142857143 0.571428571429 1989 0.571428571429 0.857142857143 0.571428571429 1990 0.642857142857 0.857142857143 0.571428571429 1991 0.714285714286 0.857142857143 0.571428571429 1992 0.785714285714 0.857142857143 0.571428571429 1993 0.857142857143 0.857142857143 0.571428571429 1994 0.928571428571 0.857142857143 0.571428571429 1995 1.000000000000 0.857142857143 0.571428571429 1996 0.000000000000 0.928571428571 0.571428571429 1997 0.071428571429 0.928571428571 0.571428571429 1998 0.142857142857 0.928571428571 0.571428571429 1999 0.214285714286 0.928571428571 0.571428571429 2000 0.285714285714 0.928571428571 0.571428571429 2001 0.357142857143 0.928571428571 0.571428571429 2002 0.428571428571 0.928571428571 0.571428571429 2003 0.500000000000 0.928571428571 0.571428571429 2004 0.571428571429 0.928571428571 0.571428571429 2005 0.642857142857 0.928571428571 0.571428571429 2006 0.714285714286 0.928571428571 0.571428571429 2007 0.785714285714 0.928571428571 0.571428571429 2008 0.857142857143 0.928571428571 0.571428571429 2009 0.928571428571 0.928571428571 0.571428571429 2010 1.000000000000 0.928571428571 0.571428571429 2011 0.000000000000 1.000000000000 0.571428571429 2012 0.071428571429 1.000000000000 0.571428571429 2013 0.142857142857 1.000000000000 0.571428571429 2014 0.214285714286 1.000000000000 0.571428571429 2015 0.285714285714 1.000000000000 0.571428571429 2016 0.357142857143 1.000000000000 0.571428571429 2017 0.428571428571 1.000000000000 0.571428571429 2018 0.500000000000 1.000000000000 0.571428571429 2019 0.571428571429 1.000000000000 0.571428571429 2020 0.642857142857 1.000000000000 0.571428571429 2021 0.714285714286 1.000000000000 0.571428571429 2022 0.785714285714 1.000000000000 0.571428571429 2023 0.857142857143 1.000000000000 0.571428571429 2024 0.928571428571 1.000000000000 0.571428571429 2025 1.000000000000 1.000000000000 0.571428571429 2026 0.000000000000 0.000000000000 0.642857142857 2027 0.071428571429 0.000000000000 0.642857142857 2028 0.142857142857 0.000000000000 0.642857142857 2029 0.214285714286 0.000000000000 0.642857142857 2030 0.285714285714 0.000000000000 0.642857142857 2031 0.357142857143 0.000000000000 0.642857142857 2032 0.428571428571 0.000000000000 0.642857142857 2033 0.500000000000 0.000000000000 0.642857142857 2034 0.571428571429 0.000000000000 0.642857142857 2035 0.642857142857 0.000000000000 0.642857142857 2036 0.714285714286 0.000000000000 0.642857142857 2037 0.785714285714 0.000000000000 0.642857142857 2038 0.857142857143 0.000000000000 0.642857142857 2039 0.928571428571 0.000000000000 0.642857142857 2040 1.000000000000 0.000000000000 0.642857142857 2041 0.000000000000 0.071428571429 0.642857142857 2042 0.071428571429 0.071428571429 0.642857142857 2043 0.142857142857 0.071428571429 0.642857142857 2044 0.214285714286 0.071428571429 0.642857142857 2045 0.285714285714 0.071428571429 0.642857142857 2046 0.357142857143 0.071428571429 0.642857142857 2047 0.428571428571 0.071428571429 0.642857142857 2048 0.500000000000 0.071428571429 0.642857142857 2049 0.571428571429 0.071428571429 0.642857142857 2050 0.642857142857 0.071428571429 0.642857142857 2051 0.714285714286 0.071428571429 0.642857142857 2052 0.785714285714 0.071428571429 0.642857142857 2053 0.857142857143 0.071428571429 0.642857142857 2054 0.928571428571 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2128 2143 2142 2352 2353 2368 2367 1861 5 3 22 22 0 2128 2129 2144 2143 2353 2354 2369 2368 1862 5 3 22 22 0 2129 2130 2145 2144 2354 2355 2370 2369 1863 5 3 28 28 0 2131 2132 2147 2146 2356 2357 2372 2371 1864 5 3 28 28 0 2132 2133 2148 2147 2357 2358 2373 2372 1865 5 3 28 28 0 2133 2134 2149 2148 2358 2359 2374 2373 1866 5 3 28 28 0 2134 2135 2150 2149 2359 2360 2375 2374 1867 5 3 28 28 0 2135 2136 2151 2150 2360 2361 2376 2375 1868 5 3 30 30 0 2136 2137 2152 2151 2361 2362 2377 2376 1869 5 3 30 30 0 2137 2138 2153 2152 2362 2363 2378 2377 1870 5 3 23 23 0 2138 2139 2154 2153 2363 2364 2379 2378 1871 5 3 23 23 0 2139 2140 2155 2154 2364 2365 2380 2379 1872 5 3 23 23 0 2140 2141 2156 2155 2365 2366 2381 2380 1873 5 3 15 15 0 2141 2142 2157 2156 2366 2367 2382 2381 1874 5 3 22 22 0 2142 2143 2158 2157 2367 2368 2383 2382 1875 5 3 22 22 0 2143 2144 2159 2158 2368 2369 2384 2383 1876 5 3 22 22 0 2144 2145 2160 2159 2369 2370 2385 2384 1877 5 3 27 27 0 2146 2147 2162 2161 2371 2372 2387 2386 1878 5 3 27 27 0 2147 2148 2163 2162 2372 2373 2388 2387 1879 5 3 27 27 0 2148 2149 2164 2163 2373 2374 2389 2388 1880 5 3 27 27 0 2149 2150 2165 2164 2374 2375 2390 2389 1881 5 3 27 27 0 2150 2151 2166 2165 2375 2376 2391 2390 1882 5 3 17 17 0 2151 2152 2167 2166 2376 2377 2392 2391 1883 5 3 17 17 0 2152 2153 2168 2167 2377 2378 2393 2392 1884 5 3 17 17 0 2153 2154 2169 2168 2378 2379 2394 2393 1885 5 3 17 17 0 2154 2155 2170 2169 2379 2380 2395 2394 1886 5 3 15 15 0 2155 2156 2171 2170 2380 2381 2396 2395 1887 5 3 15 15 0 2156 2157 2172 2171 2381 2382 2397 2396 1888 5 3 22 22 0 2157 2158 2173 2172 2382 2383 2398 2397 1889 5 3 22 22 0 2158 2159 2174 2173 2383 2384 2399 2398 1890 5 3 22 22 0 2159 2160 2175 2174 2384 2385 2400 2399 1891 5 3 27 27 0 2161 2162 2177 2176 2386 2387 2402 2401 1892 5 3 27 27 0 2162 2163 2178 2177 2387 2388 2403 2402 1893 5 3 27 27 0 2163 2164 2179 2178 2388 2389 2404 2403 1894 5 3 27 27 0 2164 2165 2180 2179 2389 2390 2405 2404 1895 5 3 27 27 0 2165 2166 2181 2180 2390 2391 2406 2405 1896 5 3 17 17 0 2166 2167 2182 2181 2391 2392 2407 2406 1897 5 3 17 17 0 2167 2168 2183 2182 2392 2393 2408 2407 1898 5 3 17 17 0 2168 2169 2184 2183 2393 2394 2409 2408 1899 5 3 17 17 0 2169 2170 2185 2184 2394 2395 2410 2409 1900 5 3 17 17 0 2170 2171 2186 2185 2395 2396 2411 2410 1901 5 3 15 15 0 2171 2172 2187 2186 2396 2397 2412 2411 1902 5 3 26 26 0 2172 2173 2188 2187 2397 2398 2413 2412 1903 5 3 26 26 0 2173 2174 2189 2188 2398 2399 2414 2413 1904 5 3 26 26 0 2174 2175 2190 2189 2399 2400 2415 2414 1905 5 3 27 27 0 2176 2177 2192 2191 2401 2402 2417 2416 1906 5 3 27 27 0 2177 2178 2193 2192 2402 2403 2418 2417 1907 5 3 27 27 0 2178 2179 2194 2193 2403 2404 2419 2418 1908 5 3 27 27 0 2179 2180 2195 2194 2404 2405 2420 2419 1909 5 3 27 27 0 2180 2181 2196 2195 2405 2406 2421 2420 1910 5 3 17 17 0 2181 2182 2197 2196 2406 2407 2422 2421 1911 5 3 17 17 0 2182 2183 2198 2197 2407 2408 2423 2422 1912 5 3 17 17 0 2183 2184 2199 2198 2408 2409 2424 2423 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2217 2427 2428 2443 2442 1931 5 3 10 10 0 2203 2204 2219 2218 2428 2429 2444 2443 1932 5 3 26 26 0 2204 2205 2220 2219 2429 2430 2445 2444 1933 5 3 27 27 0 2206 2207 2222 2221 2431 2432 2447 2446 1934 5 3 27 27 0 2207 2208 2223 2222 2432 2433 2448 2447 1935 5 3 27 27 0 2208 2209 2224 2223 2433 2434 2449 2448 1936 5 3 27 27 0 2209 2210 2225 2224 2434 2435 2450 2449 1937 5 3 27 27 0 2210 2211 2226 2225 2435 2436 2451 2450 1938 5 3 17 17 0 2211 2212 2227 2226 2436 2437 2452 2451 1939 5 3 17 17 0 2212 2213 2228 2227 2437 2438 2453 2452 1940 5 3 17 17 0 2213 2214 2229 2228 2438 2439 2454 2453 1941 5 3 17 17 0 2214 2215 2230 2229 2439 2440 2455 2454 1942 5 3 10 10 0 2215 2216 2231 2230 2440 2441 2456 2455 1943 5 3 10 10 0 2216 2217 2232 2231 2441 2442 2457 2456 1944 5 3 10 10 0 2217 2218 2233 2232 2442 2443 2458 2457 1945 5 3 10 10 0 2218 2219 2234 2233 2443 2444 2459 2458 1946 5 3 10 10 0 2219 2220 2235 2234 2444 2445 2460 2459 1947 5 3 27 27 0 2221 2222 2237 2236 2446 2447 2462 2461 1948 5 3 27 27 0 2222 2223 2238 2237 2447 2448 2463 2462 1949 5 3 27 27 0 2223 2224 2239 2238 2448 2449 2464 2463 1950 5 3 27 27 0 2224 2225 2240 2239 2449 2450 2465 2464 1951 5 3 27 27 0 2225 2226 2241 2240 2450 2451 2466 2465 1952 5 3 27 27 0 2226 2227 2242 2241 2451 2452 2467 2466 1953 5 3 17 17 0 2227 2228 2243 2242 2452 2453 2468 2467 1954 5 3 17 17 0 2228 2229 2244 2243 2453 2454 2469 2468 1955 5 3 17 17 0 2229 2230 2245 2244 2454 2455 2470 2469 1956 5 3 10 10 0 2230 2231 2246 2245 2455 2456 2471 2470 1957 5 3 10 10 0 2231 2232 2247 2246 2456 2457 2472 2471 1958 5 3 10 10 0 2232 2233 2248 2247 2457 2458 2473 2472 1959 5 3 10 10 0 2233 2234 2249 2248 2458 2459 2474 2473 1960 5 3 10 10 0 2234 2235 2250 2249 2459 2460 2475 2474 1961 5 3 7 7 0 2251 2252 2267 2266 2476 2477 2492 2491 1962 5 3 7 7 0 2252 2253 2268 2267 2477 2478 2493 2492 1963 5 3 7 7 0 2253 2254 2269 2268 2478 2479 2494 2493 1964 5 3 7 7 0 2254 2255 2270 2269 2479 2480 2495 2494 1965 5 3 12 12 0 2255 2256 2271 2270 2480 2481 2496 2495 1966 5 3 12 12 0 2256 2257 2272 2271 2481 2482 2497 2496 1967 5 3 25 25 0 2257 2258 2273 2272 2482 2483 2498 2497 1968 5 3 25 25 0 2258 2259 2274 2273 2483 2484 2499 2498 1969 5 3 25 25 0 2259 2260 2275 2274 2484 2485 2500 2499 1970 5 3 21 21 0 2260 2261 2276 2275 2485 2486 2501 2500 1971 5 3 21 21 0 2261 2262 2277 2276 2486 2487 2502 2501 1972 5 3 21 21 0 2262 2263 2278 2277 2487 2488 2503 2502 1973 5 3 21 21 0 2263 2264 2279 2278 2488 2489 2504 2503 1974 5 3 21 21 0 2264 2265 2280 2279 2489 2490 2505 2504 1975 5 3 7 7 0 2266 2267 2282 2281 2491 2492 2507 2506 1976 5 3 7 7 0 2267 2268 2283 2282 2492 2493 2508 2507 1977 5 3 7 7 0 2268 2269 2284 2283 2493 2494 2509 2508 1978 5 3 7 7 0 2269 2270 2285 2284 2494 2495 2510 2509 1979 5 3 12 12 0 2270 2271 2286 2285 2495 2496 2511 2510 1980 5 3 12 12 0 2271 2272 2287 2286 2496 2497 2512 2511 1981 5 3 25 25 0 2272 2273 2288 2287 2497 2498 2513 2512 1982 5 3 25 25 0 2273 2274 2289 2288 2498 2499 2514 2513 1983 5 3 25 25 0 2274 2275 2290 2289 2499 2500 2515 2514 1984 5 3 21 21 0 2275 2276 2291 2290 2500 2501 2516 2515 1985 5 3 21 21 0 2276 2277 2292 2291 2501 2502 2517 2516 1986 5 3 21 21 0 2277 2278 2293 2292 2502 2503 2518 2517 1987 5 3 21 21 0 2278 2279 2294 2293 2503 2504 2519 2518 1988 5 3 21 21 0 2279 2280 2295 2294 2504 2505 2520 2519 1989 5 3 7 7 0 2281 2282 2297 2296 2506 2507 2522 2521 1990 5 3 7 7 0 2282 2283 2298 2297 2507 2508 2523 2522 1991 5 3 7 7 0 2283 2284 2299 2298 2508 2509 2524 2523 1992 5 3 7 7 0 2284 2285 2300 2299 2509 2510 2525 2524 1993 5 3 12 12 0 2285 2286 2301 2300 2510 2511 2526 2525 1994 5 3 12 12 0 2286 2287 2302 2301 2511 2512 2527 2526 1995 5 3 25 25 0 2287 2288 2303 2302 2512 2513 2528 2527 1996 5 3 25 25 0 2288 2289 2304 2303 2513 2514 2529 2528 1997 5 3 25 25 0 2289 2290 2305 2304 2514 2515 2530 2529 1998 5 3 21 21 0 2290 2291 2306 2305 2515 2516 2531 2530 1999 5 3 21 21 0 2291 2292 2307 2306 2516 2517 2532 2531 2000 5 3 21 21 0 2292 2293 2308 2307 2517 2518 2533 2532 2001 5 3 21 21 0 2293 2294 2309 2308 2518 2519 2534 2533 2002 5 3 21 21 0 2294 2295 2310 2309 2519 2520 2535 2534 2003 5 3 7 7 0 2296 2297 2312 2311 2521 2522 2537 2536 2004 5 3 7 7 0 2297 2298 2313 2312 2522 2523 2538 2537 2005 5 3 7 7 0 2298 2299 2314 2313 2523 2524 2539 2538 2006 5 3 7 7 0 2299 2300 2315 2314 2524 2525 2540 2539 2007 5 3 12 12 0 2300 2301 2316 2315 2525 2526 2541 2540 2008 5 3 12 12 0 2301 2302 2317 2316 2526 2527 2542 2541 2009 5 3 25 25 0 2302 2303 2318 2317 2527 2528 2543 2542 2010 5 3 25 25 0 2303 2304 2319 2318 2528 2529 2544 2543 2011 5 3 25 25 0 2304 2305 2320 2319 2529 2530 2545 2544 2012 5 3 21 21 0 2305 2306 2321 2320 2530 2531 2546 2545 2013 5 3 21 21 0 2306 2307 2322 2321 2531 2532 2547 2546 2014 5 3 21 21 0 2307 2308 2323 2322 2532 2533 2548 2547 2015 5 3 21 21 0 2308 2309 2324 2323 2533 2534 2549 2548 2016 5 3 21 21 0 2309 2310 2325 2324 2534 2535 2550 2549 2017 5 3 7 7 0 2311 2312 2327 2326 2536 2537 2552 2551 2018 5 3 7 7 0 2312 2313 2328 2327 2537 2538 2553 2552 2019 5 3 7 7 0 2313 2314 2329 2328 2538 2539 2554 2553 2020 5 3 28 28 0 2314 2315 2330 2329 2539 2540 2555 2554 2021 5 3 12 12 0 2315 2316 2331 2330 2540 2541 2556 2555 2022 5 3 12 12 0 2316 2317 2332 2331 2541 2542 2557 2556 2023 5 3 25 25 0 2317 2318 2333 2332 2542 2543 2558 2557 2024 5 3 25 25 0 2318 2319 2334 2333 2543 2544 2559 2558 2025 5 3 25 25 0 2319 2320 2335 2334 2544 2545 2560 2559 2026 5 3 23 23 0 2320 2321 2336 2335 2545 2546 2561 2560 2027 5 3 21 21 0 2321 2322 2337 2336 2546 2547 2562 2561 2028 5 3 21 21 0 2322 2323 2338 2337 2547 2548 2563 2562 2029 5 3 21 21 0 2323 2324 2339 2338 2548 2549 2564 2563 2030 5 3 21 21 0 2324 2325 2340 2339 2549 2550 2565 2564 2031 5 3 28 28 0 2326 2327 2342 2341 2551 2552 2567 2566 2032 5 3 28 28 0 2327 2328 2343 2342 2552 2553 2568 2567 2033 5 3 28 28 0 2328 2329 2344 2343 2553 2554 2569 2568 2034 5 3 28 28 0 2329 2330 2345 2344 2554 2555 2570 2569 2035 5 3 28 28 0 2330 2331 2346 2345 2555 2556 2571 2570 2036 5 3 25 25 0 2331 2332 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5 3 23 23 0 2350 2351 2366 2365 2575 2576 2591 2590 2055 5 3 3 3 0 2351 2352 2367 2366 2576 2577 2592 2591 2056 5 3 3 3 0 2352 2353 2368 2367 2577 2578 2593 2592 2057 5 3 3 3 0 2353 2354 2369 2368 2578 2579 2594 2593 2058 5 3 22 22 0 2354 2355 2370 2369 2579 2580 2595 2594 2059 5 3 28 28 0 2356 2357 2372 2371 2581 2582 2597 2596 2060 5 3 28 28 0 2357 2358 2373 2372 2582 2583 2598 2597 2061 5 3 28 28 0 2358 2359 2374 2373 2583 2584 2599 2598 2062 5 3 28 28 0 2359 2360 2375 2374 2584 2585 2600 2599 2063 5 3 28 28 0 2360 2361 2376 2375 2585 2586 2601 2600 2064 5 3 17 17 0 2361 2362 2377 2376 2586 2587 2602 2601 2065 5 3 17 17 0 2362 2363 2378 2377 2587 2588 2603 2602 2066 5 3 17 17 0 2363 2364 2379 2378 2588 2589 2604 2603 2067 5 3 17 17 0 2364 2365 2380 2379 2589 2590 2605 2604 2068 5 3 3 3 0 2365 2366 2381 2380 2590 2591 2606 2605 2069 5 3 3 3 0 2366 2367 2382 2381 2591 2592 2607 2606 2070 5 3 3 3 0 2367 2368 2383 2382 2592 2593 2608 2607 2071 5 3 3 3 0 2368 2369 2384 2383 2593 2594 2609 2608 2072 5 3 22 22 0 2369 2370 2385 2384 2594 2595 2610 2609 2073 5 3 29 29 0 2371 2372 2387 2386 2596 2597 2612 2611 2074 5 3 29 29 0 2372 2373 2388 2387 2597 2598 2613 2612 2075 5 3 28 28 0 2373 2374 2389 2388 2598 2599 2614 2613 2076 5 3 28 28 0 2374 2375 2390 2389 2599 2600 2615 2614 2077 5 3 17 17 0 2375 2376 2391 2390 2600 2601 2616 2615 2078 5 3 17 17 0 2376 2377 2392 2391 2601 2602 2617 2616 2079 5 3 17 17 0 2377 2378 2393 2392 2602 2603 2618 2617 2080 5 3 17 17 0 2378 2379 2394 2393 2603 2604 2619 2618 2081 5 3 17 17 0 2379 2380 2395 2394 2604 2605 2620 2619 2082 5 3 17 17 0 2380 2381 2396 2395 2605 2606 2621 2620 2083 5 3 3 3 0 2381 2382 2397 2396 2606 2607 2622 2621 2084 5 3 26 26 0 2382 2383 2398 2397 2607 2608 2623 2622 2085 5 3 26 26 0 2383 2384 2399 2398 2608 2609 2624 2623 2086 5 3 26 26 0 2384 2385 2400 2399 2609 2610 2625 2624 2087 5 3 29 29 0 2386 2387 2402 2401 2611 2612 2627 2626 2088 5 3 27 27 0 2387 2388 2403 2402 2612 2613 2628 2627 2089 5 3 27 27 0 2388 2389 2404 2403 2613 2614 2629 2628 2090 5 3 27 27 0 2389 2390 2405 2404 2614 2615 2630 2629 2091 5 3 17 17 0 2390 2391 2406 2405 2615 2616 2631 2630 2092 5 3 17 17 0 2391 2392 2407 2406 2616 2617 2632 2631 2093 5 3 17 17 0 2392 2393 2408 2407 2617 2618 2633 2632 2094 5 3 17 17 0 2393 2394 2409 2408 2618 2619 2634 2633 2095 5 3 17 17 0 2394 2395 2410 2409 2619 2620 2635 2634 2096 5 3 17 17 0 2395 2396 2411 2410 2620 2621 2636 2635 2097 5 3 26 26 0 2396 2397 2412 2411 2621 2622 2637 2636 2098 5 3 26 26 0 2397 2398 2413 2412 2622 2623 2638 2637 2099 5 3 26 26 0 2398 2399 2414 2413 2623 2624 2639 2638 2100 5 3 26 26 0 2399 2400 2415 2414 2624 2625 2640 2639 2101 5 3 29 29 0 2401 2402 2417 2416 2626 2627 2642 2641 2102 5 3 27 27 0 2402 2403 2418 2417 2627 2628 2643 2642 2103 5 3 27 27 0 2403 2404 2419 2418 2628 2629 2644 2643 2104 5 3 27 27 0 2404 2405 2420 2419 2629 2630 2645 2644 2105 5 3 17 17 0 2405 2406 2421 2420 2630 2631 2646 2645 2106 5 3 17 17 0 2406 2407 2422 2421 2631 2632 2647 2646 2107 5 3 17 17 0 2407 2408 2423 2422 2632 2633 2648 2647 2108 5 3 17 17 0 2408 2409 2424 2423 2633 2634 2649 2648 2109 5 3 17 17 0 2409 2410 2425 2424 2634 2635 2650 2649 2110 5 3 17 17 0 2410 2411 2426 2425 2635 2636 2651 2650 2111 5 3 26 26 0 2411 2412 2427 2426 2636 2637 2652 2651 2112 5 3 26 26 0 2412 2413 2428 2427 2637 2638 2653 2652 2113 5 3 26 26 0 2413 2414 2429 2428 2638 2639 2654 2653 2114 5 3 26 26 0 2414 2415 2430 2429 2639 2640 2655 2654 2115 5 3 27 27 0 2416 2417 2432 2431 2641 2642 2657 2656 2116 5 3 27 27 0 2417 2418 2433 2432 2642 2643 2658 2657 2117 5 3 27 27 0 2418 2419 2434 2433 2643 2644 2659 2658 2118 5 3 27 27 0 2419 2420 2435 2434 2644 2645 2660 2659 2119 5 3 17 17 0 2420 2421 2436 2435 2645 2646 2661 2660 2120 5 3 17 17 0 2421 2422 2437 2436 2646 2647 2662 2661 2121 5 3 17 17 0 2422 2423 2438 2437 2647 2648 2663 2662 2122 5 3 17 17 0 2423 2424 2439 2438 2648 2649 2664 2663 2123 5 3 17 17 0 2424 2425 2440 2439 2649 2650 2665 2664 2124 5 3 17 17 0 2425 2426 2441 2440 2650 2651 2666 2665 2125 5 3 26 26 0 2426 2427 2442 2441 2651 2652 2667 2666 2126 5 3 26 26 0 2427 2428 2443 2442 2652 2653 2668 2667 2127 5 3 26 26 0 2428 2429 2444 2443 2653 2654 2669 2668 2128 5 3 26 26 0 2429 2430 2445 2444 2654 2655 2670 2669 2129 5 3 27 27 0 2431 2432 2447 2446 2656 2657 2672 2671 2130 5 3 27 27 0 2432 2433 2448 2447 2657 2658 2673 2672 2131 5 3 27 27 0 2433 2434 2449 2448 2658 2659 2674 2673 2132 5 3 27 27 0 2434 2435 2450 2449 2659 2660 2675 2674 2133 5 3 17 17 0 2435 2436 2451 2450 2660 2661 2676 2675 2134 5 3 17 17 0 2436 2437 2452 2451 2661 2662 2677 2676 2135 5 3 17 17 0 2437 2438 2453 2452 2662 2663 2678 2677 2136 5 3 17 17 0 2438 2439 2454 2453 2663 2664 2679 2678 2137 5 3 17 17 0 2439 2440 2455 2454 2664 2665 2680 2679 2138 5 3 17 17 0 2440 2441 2456 2455 2665 2666 2681 2680 2139 5 3 26 26 0 2441 2442 2457 2456 2666 2667 2682 2681 2140 5 3 26 26 0 2442 2443 2458 2457 2667 2668 2683 2682 2141 5 3 26 26 0 2443 2444 2459 2458 2668 2669 2684 2683 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346, 758 5891, 77, 758, 762, 346 5892, 761, 231, 514, 515 5893, 597, 95, 758, 76 5894, 599, 882, 598, 235 5895, 882, 648, 309, 647 5896, 761, 231, 232, 514 5897, 598, 130, 119, 118 5898, 599, 761, 514, 515 5899, 597, 515, 236, 76 5900, 761, 763, 597, 750 5901, 515, 763, 761, 762 5902, 763, 597, 750, 758 5903, 599, 761, 750, 751 5904, 515, 763, 762, 758 5905, 598, 78, 235, 513 5906, 598, 130, 648, 756 5907, 94, 599, 756, 598 5908, 749, 346, 143, 763 5909, 515, 227, 76, 758 5910, 514, 599, 236, 235 5911, 343, 758, 749, 750 5912, 50, 648, 759, 304 5913, 598, 130, 118, 648 5914, 761, 599, 597, 515 5915, 882, 748, 756, 473 5916, 882, 598, 235, 513 5917, 94, 345, 751, 98 5918, 882, 761, 232, 514 5919, 597, 515, 76, 758 5920, 253, 94, 751, 98 5921, 748, 760, 473, 759 5922, 257, 253, 751, 98 5923, 760, 205, 473, 759 5924, 882, 514, 232, 513 5925, 882, 599, 514, 235 5926, 83, 882, 232, 513 5927, 748, 209, 473, 760 5928, 756, 748, 46, 473 5929, 882, 647, 83, 304 5930, 748, 882, 760, 759 5931, 51, 756, 46, 473 5932, 882, 748, 760, 761 5933, 345, 748, 46, 756 5934, 748, 209, 760, 45 5935, 309, 78, 284, 513 5936, 130, 648, 756, 51 5937, 284, 882, 118, 131 5938, 515, 763, 758, 597 5939, 95, 750, 597, 758 5940, 82, 309, 513, 78 5941, 759, 205, 473, 50 5942, 209, 205, 760, 45 5943, 648, 882, 473, 759 5944, 648, 882, 304, 647 5945, 749, 346, 763, 758 5946, 761, 882, 232, 759 5947, 210, 759, 473, 50 5948, 97, 343, 750, 758 5949, 748, 345, 751, 756 5950, 762, 227, 515, 758 5951, 763, 344, 749, 760 5952, 599, 882, 514, 761 5953, 761, 748, 750, 751 5954, 599, 882, 756, 598 5955, 97, 257, 253, 750 5956, 598, 882, 118, 284 5957, 599, 761, 597, 750 5958, 648, 882, 598, 756 5959, 762, 231, 515, 77 5960, 227, 762, 515, 77 5961, 762, 231, 761, 515 5962, 648, 882, 309, 131 5963, 515, 599, 236, 514 5964, 648, 131, 130, 118 5965, 257, 253, 750, 751 5966, 345, 94, 751, 756 5967, 647, 309, 513, 82 5968, 748, 209, 46, 473 5969, 756, 648, 473, 51 5970, 95, 597, 750, 253 5971, 515, 763, 597, 761 5972, 514, 882, 235, 513 5973, 647, 882, 513, 309 5974, 882, 309, 284, 513 5975, 648, 210, 473, 51 5976, 97, 95, 758, 750 5977, 882, 648, 473, 756 5978, 882, 83, 232, 304 5979, 882, 304, 232, 759 5980, 94, 598, 756, 119 5981, 598, 130, 756, 119 5982, 209, 205, 473, 760 5983, 344, 748, 760, 45 5984, 758, 763, 749, 750 5985, 344, 748, 749, 760 5986, 882, 648, 118, 131 5987, 83, 647, 513, 82 5988, 648, 882, 118, 598 5989, 882, 647, 513, 83 5990, 749, 346, 758, 343 5991, 77, 758, 227, 762 5992, 210, 648, 473, 759 5993, 50, 648, 210, 759 5994, 599, 597, 253, 750 5995, 513, 284, 598, 78 5996, 513, 598, 284, 882 5997, 756, 751, 882, 599 5998, 756, 882, 751, 748 5999, 761, 882, 751, 599 6000, 761, 751, 882, 748 6001, 761, 760, 750, 748 6002, 761, 750, 760, 763 6003, 749, 750, 760, 748 6004, 749, 760, 750, 763 6005, 299, 300, 774, 639 6006, 560, 267, 766, 206 6007, 144, 772, 350, 770 6008, 770, 772, 767, 348 6009, 467, 765, 465, 466 6010, 558, 111, 771, 264 6011, 641, 559, 268, 639 6012, 640, 299, 773, 774 6013, 772, 774, 767, 348 6014, 467, 641, 107, 40 6015, 300, 772, 642, 129 6016, 640, 467, 641, 764 6017, 559, 768, 766, 561 6018, 559, 768, 561, 558 6019, 769, 774, 639, 764 6020, 559, 467, 766, 641 6021, 769, 642, 558, 639 6022, 766, 39, 466, 206 6023, 144, 770, 767, 348 6024, 769, 772, 774, 767 6025, 49, 640, 773, 468 6026, 49, 208, 640, 468 6027, 144, 772, 770, 348 6028, 772, 769, 770, 767 6029, 347, 769, 767, 770 6030, 768, 559, 764, 639 6031, 774, 769, 767, 764 6032, 640, 773, 764, 774 6033, 560, 766, 106, 260 6034, 144, 347, 767, 770 6035, 641, 467, 766, 764 6036, 467, 765, 468, 465 6037, 765, 39, 466, 766 6038, 774, 640, 639, 764 6039, 769, 772, 639, 774 6040, 559, 768, 558, 639 6041, 640, 467, 764, 468 6042, 640, 641, 639, 764 6043, 467, 559, 560, 107 6044, 559, 268, 639, 558 6045, 208, 467, 48, 641 6046, 765, 467, 764, 766 6047, 467, 765, 764, 468 6048, 772, 769, 639, 642 6049, 773, 640, 764, 468 6050, 765, 773, 764, 468 6051, 768, 769, 767, 347 6052, 560, 467, 107, 206 6053, 267, 766, 206, 106 6054, 467, 766, 466, 206 6055, 467, 559, 766, 560 6056, 467, 559, 107, 641 6057, 199, 765, 465, 38 6058, 267, 560, 107, 206 6059, 772, 769, 350, 770 6060, 299, 49, 640, 773 6061, 559, 768, 764, 766 6062, 641, 559, 764, 766 6063, 766, 39, 206, 106 6064, 769, 768, 767, 764 6065, 768, 105, 558, 264 6066, 768, 769, 639, 764 6067, 349, 773, 774, 764 6068, 267, 560, 766, 106 6069, 769, 558, 771, 264 6070, 773, 49, 468, 203 6071, 640, 299, 774, 639 6072, 773, 349, 203, 465 6073, 641, 467, 48, 40 6074, 105, 768, 347, 264 6075, 769, 642, 771, 558 6076, 768, 769, 558, 639 6077, 300, 772, 774, 639 6078, 349, 765, 773, 764 6079, 774, 349, 764, 348 6080, 559, 641, 764, 639 6081, 642, 268, 771, 558 6082, 772, 300, 642, 639 6083, 769, 768, 558, 264 6084, 768, 769, 347, 264 6085, 768, 259, 260, 561 6086, 111, 268, 771, 642 6087, 467, 560, 766, 206 6088, 208, 640, 467, 641 6089, 768, 259, 561, 558 6090, 642, 769, 771, 298 6091, 268, 111, 771, 558 6092, 641, 559, 107, 112 6093, 767, 774, 764, 348 6094, 766, 560, 561, 260 6095, 765, 349, 773, 465 6096, 560, 559, 766, 561 6097, 765, 39, 199, 466 6098, 769, 772, 350, 129 6099, 268, 642, 639, 558 6100, 772, 769, 642, 129 6101, 111, 642, 771, 298 6102, 766, 768, 260, 561 6103, 467, 765, 466, 766 6104, 641, 559, 112, 268 6105, 768, 105, 259, 558 6106, 467, 40, 107, 206 6107, 641, 40, 48, 107 6108, 773, 468, 465, 203 6109, 112, 641, 48, 107 6110, 765, 199, 465, 466 6111, 769, 642, 129, 298 6112, 640, 208, 467, 468 6113, 773, 765, 465, 468 6114, 465, 349, 38, 765 6115, 465, 38, 349, 203 6116, 36, 196, 16, 404 6117, 781, 170, 3, 216 6118, 650, 132, 134, 783 6119, 776, 400, 778, 777 6120, 786, 356, 784, 783 6121, 400, 776, 156, 777 6122, 13, 782, 401, 402 6123, 650, 786, 403, 783 6124, 787, 354, 305, 779 6125, 775, 784, 146, 36 6126, 56, 781, 3, 216 6127, 785, 352, 777, 351 6128, 785, 786, 351, 777 6129, 776, 787, 352, 777 6130, 651, 785, 405, 403 6131, 786, 650, 134, 783 6132, 783, 650, 402, 403 6133, 782, 37, 402, 17 6134, 786, 775, 351, 777 6135, 196, 171, 16, 404 6136, 775, 155, 777, 403 6137, 155, 400, 777, 403 6138, 783, 404, 403, 402 6139, 155, 775, 404, 403 6140, 400, 157, 778, 780 6141, 787, 776, 352, 145 6142, 132, 355, 650, 782 6143, 649, 781, 779, 294 6144, 651, 785, 306, 305 6145, 649, 56, 216, 781 6146, 405, 785, 777, 403 6147, 787, 785, 352, 777 6148, 649, 56, 781, 294 6149, 158, 157, 405, 780 6150, 354, 305, 779, 133 6151, 57, 72, 401, 7 6152, 72, 132, 650, 782 6153, 650, 403, 401, 402 6154, 170, 57, 401, 7 6155, 156, 400, 777, 155 6156, 651, 406, 781, 216 6157, 651, 650, 403, 401 6158, 651, 650, 306, 403 6159, 649, 651, 781, 216 6160, 775, 196, 36, 404 6161, 406, 651, 405, 401 6162, 775, 784, 404, 403 6163, 782, 650, 401, 402 6164, 786, 785, 306, 403 6165, 779, 649, 294, 133 6166, 305, 649, 779, 133 6167, 57, 651, 216, 401 6168, 786, 650, 306, 134 6169, 171, 37, 17, 402 6170, 196, 171, 404, 402 6171, 776, 787, 778, 145 6172, 784, 196, 404, 783 6173, 170, 406, 401, 216 6174, 171, 196, 37, 402 6175, 400, 776, 778, 157 6176, 786, 785, 403, 777 6177, 650, 786, 306, 403 6178, 400, 405, 777, 403 6179, 155, 775, 16, 404 6180, 406, 651, 781, 405 6181, 170, 57, 216, 401 6182, 406, 170, 3, 781 6183, 72, 57, 401, 650 6184, 649, 651, 779, 781 6185, 782, 17, 402, 13 6186, 651, 649, 779, 305 6187, 786, 356, 783, 134 6188, 405, 651, 403, 401 6189, 158, 406, 3, 781 6190, 775, 196, 404, 784 6191, 783, 196, 404, 402 6192, 406, 651, 401, 216 6193, 355, 132, 650, 783 6194, 775, 786, 403, 777 6195, 787, 785, 779, 305 6196, 775, 36, 16, 404 6197, 196, 775, 36, 784 6198, 354, 787, 778, 779 6199, 400, 776, 157, 2 6200, 72, 13, 401, 7 6201, 157, 400, 405, 780 6202, 157, 776, 353, 2 6203, 400, 776, 2, 156 6204, 787, 354, 778, 145 6205, 353, 776, 778, 145 6206, 785, 651, 779, 305 6207, 355, 37, 783, 402 6208, 785, 651, 306, 403 6209, 170, 406, 216, 781 6210, 72, 782, 401, 13 6211, 37, 355, 782, 402 6212, 785, 651, 405, 779 6213, 784, 783, 404, 403 6214, 776, 157, 353, 778 6215, 37, 196, 783, 402 6216, 72, 650, 401, 782 6217, 57, 651, 401, 650 6218, 786, 784, 351, 775 6219, 786, 351, 784, 356 6220, 146, 351, 784, 775 6221, 146, 784, 351, 356 6222, 781, 405, 158, 406 6223, 781, 158, 405, 780 6224, 777, 400, 780, 405 6225, 780, 400, 777, 778 6226, 777, 787, 778, 776 6227, 403, 784, 786, 775 6228, 403, 786, 784, 783 6229, 402, 355, 650, 783 6230, 402, 650, 355, 782 6231, 779, 405, 781, 651 6232, 779, 781, 405, 780 6233, 777, 778, 779, 780 6234, 777, 405, 779, 785 6235, 779, 405, 777, 780 6236, 779, 777, 787, 778 6237, 787, 777, 779, 785 6238, 37, 355, 446, 789 6239, 784, 791, 783, 356 6240, 357, 226, 788, 510 6241, 446, 784, 511, 783 6242, 78, 600, 511, 284 6243, 510, 784, 511, 445 6244, 791, 646, 307, 509 6245, 645, 82, 81, 509 6246, 510, 784, 790, 791 6247, 446, 195, 511, 445 6248, 784, 791, 356, 790 6249, 132, 308, 646, 789 6250, 646, 644, 307, 509 6251, 195, 34, 446, 511 6252, 446, 34, 600, 511 6253, 791, 234, 511, 509 6254, 789, 646, 783, 511 6255, 646, 791, 307, 134 6256, 195, 510, 445, 33 6257, 33, 510, 445, 788 6258, 446, 355, 783, 789 6259, 789, 446, 600, 511 6260, 355, 132, 646, 789 6261, 132, 355, 646, 783 6262, 644, 307, 509, 645 6263, 645, 307, 509, 81 6264, 357, 80, 510, 790 6265, 355, 37, 446, 783 6266, 234, 791, 510, 790 6267, 644, 308, 282, 789 6268, 509, 78, 511, 284 6269, 644, 308, 789, 646 6270, 446, 37, 789, 25 6271, 34, 600, 511, 78 6272, 646, 644, 511, 789 6273, 789, 446, 25, 600 6274, 446, 784, 196, 445 6275, 195, 510, 511, 445 6276, 186, 33, 445, 788 6277, 36, 784, 788, 445 6278, 81, 307, 509, 234 6279, 146, 784, 788, 36 6280, 644, 789, 600, 511 6281, 446, 37, 196, 783 6282, 784, 36, 196, 445 6283, 357, 510, 788, 790 6284, 80, 357, 510, 226 6285, 510, 80, 234, 790 6286, 307, 791, 509, 234 6287, 234, 510, 791, 511 6288, 82, 309, 509, 645 6289, 226, 510, 33, 788 6290, 791, 646, 509, 511 6291, 784, 446, 511, 445 6292, 791, 134, 783, 356 6293, 446, 789, 783, 511 6294, 309, 82, 509, 78 6295, 186, 36, 788, 445 6296, 646, 791, 783, 511 6297, 784, 791, 511, 783 6298, 644, 789, 282, 600 6299, 309, 644, 509, 645 6300, 784, 510, 788, 445 6301, 784, 446, 196, 783 6302, 132, 646, 134, 783 6303, 644, 131, 309, 284 6304, 510, 784, 788, 790 6305, 644, 646, 511, 509 6306, 600, 644, 511, 284 6307, 646, 791, 134, 783 6308, 355, 646, 783, 789 6309, 446, 34, 25, 600 6310, 282, 644, 600, 284 6311, 282, 789, 25, 600 6312, 784, 510, 511, 791 6313, 644, 509, 511, 284 6314, 284, 509, 309, 644 6315, 284, 309, 509, 78 6316, 282, 284, 308, 644 6317, 282, 308, 284, 118 6318, 131, 308, 284, 644 6319, 131, 284, 308, 118 6320, 790, 784, 357, 356 6321, 790, 357, 784, 788 6322, 146, 357, 784, 356 6323, 146, 784, 357, 788 6324, 792, 234, 79, 80 6325, 146, 356, 351, 793 6326, 798, 796, 362, 638 6327, 883, 799, 800, 302 6328, 360, 793, 800, 359 6329, 796, 305, 787, 354 6330, 786, 637, 306, 883 6331, 790, 234, 792, 80 6332, 307, 637, 797, 303 6333, 145, 787, 794, 352 6334, 786, 356, 791, 793 6335, 796, 295, 362, 638 6336, 793, 790, 792, 357 6337, 798, 796, 147, 362 6338, 301, 798, 128, 638 6339, 800, 637, 797, 791 6340, 356, 786, 351, 793 6341, 796, 133, 638, 305 6342, 787, 795, 794, 352 6343, 637, 307, 797, 791 6344, 785, 795, 787, 352 6345, 793, 800, 797, 791 6346, 303, 637, 800, 302 6347, 792, 233, 797, 79 6348, 637, 883, 800, 302 6349, 790, 234, 797, 792 6350, 799, 883, 798, 636 6351, 786, 883, 306, 785 6352, 786, 793, 883, 795 6353, 790, 792, 357, 80 6354, 301, 799, 798, 636 6355, 796, 305, 638, 883 6356, 798, 301, 636, 638 6357, 883, 785, 795, 787 6358, 133, 796, 638, 295 6359, 786, 637, 134, 306 6360, 796, 798, 147, 794 6361, 786, 637, 883, 791 6362, 796, 883, 794, 787 6363, 796, 133, 305, 354 6364, 883, 637, 306, 636 6365, 883, 637, 800, 791 6366, 798, 883, 638, 636 6367, 883, 305, 638, 636 6368, 301, 799, 636, 302 6369, 361, 799, 795, 883 6370, 81, 234, 233, 797 6371, 303, 81, 84, 797 6372, 786, 356, 134, 791 6373, 799, 361, 795, 360 6374, 234, 233, 797, 792 6375, 358, 796, 147, 794 6376, 81, 233, 84, 797 6377, 307, 234, 797, 791 6378, 307, 81, 303, 797 6379, 357, 356, 146, 793 6380, 796, 354, 787, 794 6381, 356, 793, 790, 791 6382, 883, 796, 794, 798 6383, 793, 883, 800, 791 6384, 883, 361, 794, 795 6385, 785, 351, 795, 352 6386, 883, 799, 798, 794 6387, 799, 361, 798, 794 6388, 307, 637, 134, 791 6389, 793, 786, 883, 791 6390, 128, 798, 362, 638 6391, 295, 128, 362, 638 6392, 305, 796, 787, 883 6393, 234, 790, 797, 791 6394, 793, 790, 797, 792 6395, 303, 637, 797, 800 6396, 637, 786, 134, 791 6397, 357, 356, 793, 790 6398, 361, 799, 883, 794 6399, 883, 637, 636, 302 6400, 883, 795, 794, 787 6401, 799, 883, 636, 302 6402, 786, 351, 793, 795 6403, 883, 799, 795, 360 6404, 234, 81, 307, 797 6405, 790, 793, 797, 791 6406, 793, 883, 795, 360 6407, 800, 793, 797, 359 6408, 883, 793, 800, 360 6409, 799, 883, 800, 360 6410, 305, 883, 787, 785 6411, 233, 234, 79, 792 6412, 793, 792, 797, 359 6413, 305, 883, 306, 636 6414, 883, 305, 306, 785 6415, 798, 361, 147, 794 6416, 796, 883, 638, 798 6417, 796, 358, 354, 794 6418, 792, 797, 359, 79 6419, 786, 795, 785, 351 6420, 785, 795, 786, 883 6421, 794, 354, 145, 358 6422, 794, 145, 354, 787 6423, 643, 130, 755, 71 6424, 69, 755, 518, 240 6425, 782, 643, 132, 789 6426, 596, 119, 755, 308 6427, 643, 782, 132, 72 6428, 119, 596, 755, 283 6429, 596, 755, 518, 789 6430, 596, 85, 518, 240 6431, 782, 37, 789, 355 6432, 282, 596, 789, 308 6433, 283, 596, 755, 240 6434, 85, 596, 518, 26 6435, 119, 118, 130, 308 6436, 596, 25, 518, 26 6437, 755, 643, 518, 789 6438, 130, 643, 755, 308 6439, 69, 643, 755, 71 6440, 596, 283, 85, 240 6441, 118, 596, 282, 308 6442, 25, 18, 518, 26 6443, 119, 130, 755, 308 6444, 69, 14, 518, 13 6445, 782, 643, 13, 72 6446, 355, 782, 132, 789 6447, 596, 282, 789, 25 6448, 643, 308, 132, 789 6449, 37, 25, 518, 789 6450, 69, 643, 71, 72 6451, 37, 18, 518, 25 6452, 118, 596, 308, 119 6453, 69, 643, 13, 518 6454, 130, 118, 131, 308 6455, 643, 782, 13, 518 6456, 643, 69, 13, 72 6457, 643, 782, 518, 789 6458, 37, 782, 789, 518 6459, 643, 69, 755, 518 6460, 17, 18, 13, 782 6461, 755, 596, 518, 240 6462, 25, 596, 518, 789 6463, 13, 518, 18, 14 6464, 13, 18, 518, 782 6465, 18, 37, 782, 17 6466, 18, 782, 37, 518 6467, 789, 755, 308, 596 6468, 789, 308, 755, 643 *Elset, elset=GRAIN-1 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065 3066, 3067, *Elset, elset=GRAIN-2 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238 3239, 3240, 3241, 3242, *Elset, elset=GRAIN-3 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341 3342, 3343, 3344, *Elset, elset=GRAIN-4 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398 3399, 3400, 3401, 3402, *Elset, elset=GRAIN-5 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447 3448, 3449, 3450, 3451, 3452, 3453, *Elset, elset=GRAIN-6 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507 3508, 3509, 3510, *Elset, elset=GRAIN-7 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645 3646, 3647, 3648, *Elset, elset=GRAIN-8 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747 3748, *Elset, elset=GRAIN-9 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865 3866, 3867, 3868, *Elset, elset=GRAIN-10 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994 3995, 3996, 3997, 3998, 3999, 4000, 4001, *Elset, elset=GRAIN-11 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091 4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100 4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118 4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127 4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136 4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145 4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154 4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163 4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172 4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181 4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199 4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208 4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217 4218, 4219, 4220, 4221, 4222, 4223, 4224, 4225, 4226 4227, 4228, 4229, *Elset, elset=GRAIN-12 4230, 4231, 4232, 4233, 4234, 4235, 4236, 4237, 4238 4239, 4240, 4241, 4242, 4243, 4244, 4245, 4246, 4247 4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256 4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265 4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4274 4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283 4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292 4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301 4302, 4303, 4304, *Elset, elset=GRAIN-13 4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313 4314, 4315, 4316, 4317, 4318, 4319, 4320, 4321, 4322 4323, 4324, 4325, 4326, 4327, 4328, 4329, 4330, 4331 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340 4341, 4342, 4343, 4344, 4345, 4346, 4347, 4348, 4349 4350, 4351, 4352, 4353, 4354, 4355, 4356, 4357, *Elset, elset=GRAIN-14 4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366 4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375 4376, 4377, 4378, 4379, 4380, 4381, 4382, 4383, 4384 4385, 4386, 4387, 4388, 4389, 4390, 4391, 4392, 4393 4394, 4395, 4396, 4397, 4398, 4399, 4400, 4401, 4402 4403, 4404, 4405, 4406, 4407, 4408, 4409, 4410, 4411 4412, 4413, 4414, 4415, 4416, 4417, 4418, 4419, 4420 4421, 4422, 4423, 4424, 4425, 4426, 4427, 4428, 4429 4430, 4431, 4432, 4433, 4434, 4435, 4436, 4437, 4438 4439, 4440, 4441, 4442, 4443, 4444, 4445, 4446, *Elset, elset=GRAIN-15 4447, 4448, 4449, 4450, 4451, 4452, 4453, 4454, 4455 4456, 4457, 4458, 4459, 4460, 4461, 4462, 4463, 4464 4465, 4466, 4467, 4468, 4469, 4470, 4471, 4472, *Elset, elset=GRAIN-16 4473, 4474, 4475, 4476, 4477, 4478, 4479, 4480, 4481 4482, 4483, 4484, 4485, 4486, 4487, 4488, 4489, 4490 4491, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4499 4500, 4501, 4502, 4503, 4504, 4505, 4506, 4507, 4508 4509, 4510, 4511, 4512, 4513, 4514, 4515, 4516, 4517 4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526 4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535 4536, 4537, 4538, 4539, *Elset, elset=GRAIN-17 4540, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548 4549, 4550, 4551, 4552, 4553, 4554, 4555, 4556, 4557 4558, 4559, 4560, 4561, 4562, 4563, 4564, 4565, 4566 4567, 4568, 4569, 4570, 4571, 4572, 4573, 4574, 4575 4576, 4577, 4578, 4579, 4580, 4581, 4582, 4583, 4584 4585, 4586, 4587, 4588, 4589, 4590, 4591, 4592, 4593 4594, 4595, 4596, 4597, 4598, 4599, 4600, 4601, 4602 4603, 4604, 4605, 4606, 4607, 4608, 4609, 4610, 4611 4612, 4613, 4614, 4615, 4616, 4617, 4618, 4619, 4620 4621, 4622, 4623, 4624, 4625, 4626, 4627, 4628, 4629 4630, 4631, 4632, 4633, 4634, 4635, 4636, 4637, 4638 4639, 4640, 4641, 4642, 4643, 4644, 4645, 4646, 4647 4648, 4649, 4650, 4651, 4652, 4653, 4654, 4655, 4656 4657, 4658, 4659, 4660, 4661, 4662, 4663, 4664, 4665 4666, 4667, 4668, 4669, 4670, 4671, 4672, 4673, 4674 4675, 4676, 4677, 4678, 4679, 4680, 4681, 4682, 4683 4684, 4685, 4686, 4687, 4688, 4689, 4690, 4691, 4692 4693, 4694, 4695, 4696, 4697, 4698, 4699, 4700, 4701 4702, 4703, 4704, 4705, 4706, 4707, 4708, 4709, 4710 4711, 4712, 4713, 4714, 4715, 4716, 4717, 4718, 4719 4720, 4721, 4722, 4723, 4724, 4725, 4726, 4727, 4728 4729, 4730, 4731, 4732, 4733, 4734, 4735, 4736, 4737 4738, 4739, 4740, 4741, 4742, 4743, 4744, 4745, 4746 4747, 4748, 4749, 4750, 4751, 4752, 4753, 4754, 4755 4756, 4757, 4758, 4759, 4760, 4761, 4762, 4763, 4764 4765, 4766, 4767, 4768, 4769, 4770, 4771, 4772, 4773 4774, 4775, 4776, 4777, 4778, 4779, 4780, 4781, 4782 4783, 4784, 4785, 4786, 4787, 4788, 4789, 4790, 4791 4792, 4793, 4794, 4795, 4796, 4797, 4798, 4799, *Elset, elset=GRAIN-18 4800, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4808 4809, 4810, 4811, 4812, 4813, 4814, 4815, 4816, 4817 4818, 4819, 4820, 4821, 4822, 4823, 4824, 4825, 4826 4827, 4828, 4829, 4830, 4831, 4832, 4833, 4834, 4835 4836, 4837, 4838, 4839, 4840, 4841, 4842, 4843, 4844 4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853 4854, 4855, 4856, 4857, 4858, 4859, 4860, 4861, 4862 4863, 4864, 4865, 4866, 4867, 4868, 4869, 4870, 4871 4872, 4873, 4874, 4875, 4876, 4877, 4878, 4879, 4880 4881, 4882, 4883, 4884, 4885, 4886, 4887, 4888, 4889 4890, 4891, 4892, 4893, 4894, 4895, 4896, 4897, 4898 4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4907 4908, 4909, 4910, 4911, 4912, 4913, 4914, 4915, 4916 4917, 4918, 4919, 4920, 4921, 4922, 4923, 4924, 4925 4926, 4927, 4928, 4929, 4930, *Elset, elset=GRAIN-19 4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939 4940, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4948 4949, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957 4958, 4959, 4960, 4961, 4962, 4963, 4964, 4965, 4966 4967, 4968, 4969, 4970, 4971, 4972, 4973, 4974, 4975 4976, 4977, 4978, 4979, 4980, 4981, 4982, 4983, 4984 4985, 4986, 4987, 4988, 4989, 4990, 4991, 4992, 4993 4994, 4995, 4996, 4997, 4998, 4999, 5000, 5001, 5002 5003, 5004, 5005, 5006, 5007, 5008, 5009, 5010, 5011 5012, 5013, 5014, 5015, 5016, 5017, 5018, 5019, 5020 5021, 5022, 5023, 5024, 5025, 5026, 5027, 5028, 5029 5030, 5031, 5032, 5033, 5034, 5035, 5036, 5037, 5038 5039, 5040, 5041, 5042, 5043, 5044, 5045, 5046, 5047 5048, 5049, 5050, 5051, 5052, 5053, 5054, 5055, 5056 5057, 5058, 5059, 5060, 5061, 5062, 5063, 5064, 5065 5066, 5067, 5068, 5069, 5070, 5071, 5072, 5073, 5074 5075, 5076, 5077, 5078, 5079, 5080, 5081, 5082, 5083 5084, 5085, 5086, 5087, 5088, 5089, 5090, 5091, 5092 5093, 5094, 5095, 5096, 5097, 5098, 5099, 5100, 5101 5102, 5103, 5104, 5105, 5106, 5107, 5108, 5109, 5110 5111, 5112, 5113, 5114, 5115, 5116, 5117, 5118, 5119 5120, 5121, 5122, 5123, 5124, 5125, 5126, 5127, 5128 5129, 5130, 5131, 5132, 5133, 5134, 5135, 5136, 5137 5138, 5139, 5140, 5141, 5142, 5143, 5144, 5145, 5146 5147, 5148, 5149, 5150, 5151, 5152, 5153, 5154, 5155 5156, 5157, 5158, 5159, 5160, 5161, 5162, 5163, 5164 5165, 5166, 5167, 5168, 5169, 5170, 5171, 5172, 5173 5174, 5175, 5176, 5177, 5178, 5179, 5180, 5181, 5182 5183, 5184, 5185, 5186, 5187, 5188, 5189, 5190, 5191 5192, 5193, 5194, 5195, 5196, 5197, 5198, 5199, 5200 5201, 5202, 5203, 5204, 5205, 5206, 5207, 5208, 5209 5210, 5211, 5212, 5213, 5214, 5215, 5216, 5217, 5218 5219, 5220, 5221, 5222, 5223, 5224, 5225, 5226, 5227 5228, 5229, 5230, 5231, 5232, 5233, 5234, 5235, 5236 5237, 5238, 5239, 5240, 5241, 5242, 5243, 5244, 5245 5246, 5247, *Elset, elset=GRAIN-20 5248, 5249, 5250, 5251, 5252, 5253, 5254, 5255, 5256 5257, 5258, 5259, 5260, 5261, 5262, 5263, 5264, 5265 5266, 5267, 5268, 5269, 5270, 5271, 5272, 5273, 5274 5275, 5276, 5277, 5278, 5279, 5280, 5281, 5282, 5283 5284, 5285, 5286, 5287, 5288, 5289, 5290, 5291, 5292 5293, 5294, 5295, 5296, 5297, 5298, 5299, 5300, 5301 5302, 5303, 5304, 5305, 5306, 5307, 5308, 5309, 5310 5311, 5312, 5313, 5314, 5315, 5316, 5317, 5318, 5319 5320, 5321, 5322, 5323, 5324, 5325, 5326, 5327, 5328 5329, 5330, 5331, 5332, 5333, 5334, 5335, 5336, 5337 5338, 5339, 5340, 5341, 5342, 5343, 5344, 5345, 5346 5347, 5348, 5349, 5350, 5351, 5352, 5353, 5354, 5355 5356, 5357, 5358, 5359, 5360, 5361, 5362, 5363, 5364 5365, 5366, 5367, 5368, 5369, 5370, 5371, 5372, 5373 5374, 5375, 5376, 5377, 5378, 5379, 5380, 5381, 5382 5383, 5384, 5385, 5386, 5387, 5388, 5389, 5390, 5391 5392, 5393, 5394, 5395, 5396, 5397, 5398, 5399, 5400 5401, 5402, 5403, 5404, 5405, 5406, 5407, 5408, 5409 5410, 5411, 5412, 5413, 5414, 5415, 5416, 5417, 5418 5419, 5420, 5421, 5422, 5423, 5424, 5425, 5426, 5427 5428, 5429, 5430, 5431, 5432, 5433, 5434, 5435, 5436 5437, 5438, 5439, 5440, 5441, 5442, 5443, 5444, 5445 5446, 5447, 5448, 5449, 5450, 5451, 5452, 5453, 5454 5455, 5456, 5457, 5458, 5459, 5460, 5461, 5462, 5463 5464, 5465, 5466, 5467, 5468, 5469, 5470, 5471, 5472 5473, 5474, 5475, 5476, 5477, 5478, 5479, 5480, 5481 5482, 5483, 5484, 5485, 5486, 5487, 5488, 5489, 5490 5491, 5492, 5493, 5494, 5495, 5496, 5497, 5498, 5499 5500, 5501, 5502, 5503, 5504, 5505, 5506, 5507, 5508 5509, 5510, 5511, 5512, 5513, 5514, 5515, 5516, 5517 5518, 5519, 5520, 5521, 5522, 5523, 5524, 5525, 5526 5527, 5528, 5529, 5530, 5531, 5532, 5533, 5534, 5535 5536, 5537, 5538, 5539, 5540, 5541, 5542, 5543, 5544 5545, 5546, 5547, 5548, 5549, 5550, 5551, 5552, 5553 5554, 5555, 5556, 5557, 5558, 5559, 5560, 5561, 5562 5563, 5564, 5565, 5566, 5567, 5568, 5569, 5570, *Elset, elset=GRAIN-21 5571, 5572, 5573, 5574, 5575, 5576, 5577, 5578, 5579 5580, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5588 5589, 5590, 5591, 5592, 5593, 5594, 5595, 5596, 5597 5598, 5599, 5600, 5601, 5602, 5603, 5604, 5605, 5606 5607, 5608, 5609, 5610, 5611, 5612, 5613, 5614, 5615 5616, 5617, 5618, 5619, 5620, 5621, 5622, 5623, 5624 5625, 5626, 5627, 5628, 5629, 5630, 5631, 5632, 5633 5634, 5635, 5636, 5637, 5638, 5639, 5640, 5641, 5642 5643, 5644, 5645, 5646, 5647, 5648, 5649, 5650, 5651 5652, 5653, 5654, 5655, 5656, 5657, 5658, 5659, 5660 5661, 5662, 5663, 5664, 5665, 5666, 5667, 5668, 5669 5670, 5671, 5672, 5673, 5674, 5675, 5676, 5677, 5678 5679, 5680, 5681, 5682, 5683, 5684, 5685, 5686, 5687 5688, 5689, 5690, 5691, 5692, 5693, 5694, 5695, 5696 5697, 5698, 5699, 5700, 5701, 5702, 5703, 5704, 5705 5706, 5707, 5708, 5709, 5710, *Elset, elset=GRAIN-22 5711, 5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719 5720, 5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728 5729, 5730, 5731, 5732, 5733, 5734, 5735, 5736, 5737 5738, 5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746 5747, 5748, 5749, 5750, 5751, 5752, 5753, 5754, 5755 5756, 5757, 5758, 5759, 5760, 5761, 5762, 5763, 5764 5765, 5766, 5767, 5768, 5769, 5770, *Elset, elset=GRAIN-23 5771, 5772, 5773, 5774, 5775, 5776, 5777, 5778, 5779 5780, 5781, 5782, 5783, 5784, 5785, 5786, 5787, 5788 5789, 5790, 5791, 5792, 5793, 5794, 5795, 5796, 5797 5798, 5799, 5800, 5801, 5802, 5803, 5804, 5805, 5806 5807, 5808, 5809, 5810, 5811, 5812, 5813, 5814, 5815 5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824 5825, 5826, 5827, 5828, 5829, 5830, 5831, 5832, 5833 5834, 5835, 5836, 5837, 5838, 5839, 5840, 5841, 5842 5843, 5844, 5845, 5846, 5847, 5848, *Elset, elset=GRAIN-24 5849, 5850, 5851, 5852, 5853, 5854, 5855, 5856, 5857 5858, 5859, 5860, 5861, 5862, 5863, 5864, 5865, 5866 5867, 5868, 5869, 5870, 5871, 5872, 5873, 5874, 5875 5876, 5877, 5878, *Elset, elset=GRAIN-25 5879, 5880, 5881, 5882, 5883, 5884, 5885, 5886, 5887 5888, 5889, 5890, 5891, 5892, 5893, 5894, 5895, 5896 5897, 5898, 5899, 5900, 5901, 5902, 5903, 5904, 5905 5906, 5907, 5908, 5909, 5910, 5911, 5912, 5913, 5914 5915, 5916, 5917, 5918, 5919, 5920, 5921, 5922, 5923 5924, 5925, 5926, 5927, 5928, 5929, 5930, 5931, 5932 5933, 5934, 5935, 5936, 5937, 5938, 5939, 5940, 5941 5942, 5943, 5944, 5945, 5946, 5947, 5948, 5949, 5950 5951, 5952, 5953, 5954, 5955, 5956, 5957, 5958, 5959 5960, 5961, 5962, 5963, 5964, 5965, 5966, 5967, 5968 5969, 5970, 5971, 5972, 5973, 5974, 5975, 5976, 5977 5978, 5979, 5980, 5981, 5982, 5983, 5984, 5985, 5986 5987, 5988, 5989, 5990, 5991, 5992, 5993, 5994, 5995 5996, 5997, 5998, 5999, 6000, 6001, 6002, 6003, 6004 *Elset, elset=GRAIN-26 6005, 6006, 6007, 6008, 6009, 6010, 6011, 6012, 6013 6014, 6015, 6016, 6017, 6018, 6019, 6020, 6021, 6022 6023, 6024, 6025, 6026, 6027, 6028, 6029, 6030, 6031 6032, 6033, 6034, 6035, 6036, 6037, 6038, 6039, 6040 6041, 6042, 6043, 6044, 6045, 6046, 6047, 6048, 6049 6050, 6051, 6052, 6053, 6054, 6055, 6056, 6057, 6058 6059, 6060, 6061, 6062, 6063, 6064, 6065, 6066, 6067 6068, 6069, 6070, 6071, 6072, 6073, 6074, 6075, 6076 6077, 6078, 6079, 6080, 6081, 6082, 6083, 6084, 6085 6086, 6087, 6088, 6089, 6090, 6091, 6092, 6093, 6094 6095, 6096, 6097, 6098, 6099, 6100, 6101, 6102, 6103 6104, 6105, 6106, 6107, 6108, 6109, 6110, 6111, 6112 6113, 6114, 6115, *Elset, elset=GRAIN-27 6116, 6117, 6118, 6119, 6120, 6121, 6122, 6123, 6124 6125, 6126, 6127, 6128, 6129, 6130, 6131, 6132, 6133 6134, 6135, 6136, 6137, 6138, 6139, 6140, 6141, 6142 6143, 6144, 6145, 6146, 6147, 6148, 6149, 6150, 6151 6152, 6153, 6154, 6155, 6156, 6157, 6158, 6159, 6160 6161, 6162, 6163, 6164, 6165, 6166, 6167, 6168, 6169 6170, 6171, 6172, 6173, 6174, 6175, 6176, 6177, 6178 6179, 6180, 6181, 6182, 6183, 6184, 6185, 6186, 6187 6188, 6189, 6190, 6191, 6192, 6193, 6194, 6195, 6196 6197, 6198, 6199, 6200, 6201, 6202, 6203, 6204, 6205 6206, 6207, 6208, 6209, 6210, 6211, 6212, 6213, 6214 6215, 6216, 6217, 6218, 6219, 6220, 6221, 6222, 6223 6224, 6225, 6226, 6227, 6228, 6229, 6230, 6231, 6232 6233, 6234, 6235, 6236, 6237, *Elset, elset=GRAIN-28 6238, 6239, 6240, 6241, 6242, 6243, 6244, 6245, 6246 6247, 6248, 6249, 6250, 6251, 6252, 6253, 6254, 6255 6256, 6257, 6258, 6259, 6260, 6261, 6262, 6263, 6264 6265, 6266, 6267, 6268, 6269, 6270, 6271, 6272, 6273 6274, 6275, 6276, 6277, 6278, 6279, 6280, 6281, 6282 6283, 6284, 6285, 6286, 6287, 6288, 6289, 6290, 6291 6292, 6293, 6294, 6295, 6296, 6297, 6298, 6299, 6300 6301, 6302, 6303, 6304, 6305, 6306, 6307, 6308, 6309 6310, 6311, 6312, 6313, 6314, 6315, 6316, 6317, 6318 6319, 6320, 6321, 6322, 6323, *Elset, elset=GRAIN-29 6324, 6325, 6326, 6327, 6328, 6329, 6330, 6331, 6332 6333, 6334, 6335, 6336, 6337, 6338, 6339, 6340, 6341 6342, 6343, 6344, 6345, 6346, 6347, 6348, 6349, 6350 6351, 6352, 6353, 6354, 6355, 6356, 6357, 6358, 6359 6360, 6361, 6362, 6363, 6364, 6365, 6366, 6367, 6368 6369, 6370, 6371, 6372, 6373, 6374, 6375, 6376, 6377 6378, 6379, 6380, 6381, 6382, 6383, 6384, 6385, 6386 6387, 6388, 6389, 6390, 6391, 6392, 6393, 6394, 6395 6396, 6397, 6398, 6399, 6400, 6401, 6402, 6403, 6404 6405, 6406, 6407, 6408, 6409, 6410, 6411, 6412, 6413 6414, 6415, 6416, 6417, 6418, 6419, 6420, 6421, 6422 *Elset, elset=GRAIN-30 6423, 6424, 6425, 6426, 6427, 6428, 6429, 6430, 6431 6432, 6433, 6434, 6435, 6436, 6437, 6438, 6439, 6440 6441, 6442, 6443, 6444, 6445, 6446, 6447, 6448, 6449 6450, 6451, 6452, 6453, 6454, 6455, 6456, 6457, 6458 6459, 6460, 6461, 6462, 6463, 6464, 6465, 6466, 6467 6468, *Elset, elset=Phase-1 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091 4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100 4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118 4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127 4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136 4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145 4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154 4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163 4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172 4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181 4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199 4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208 4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217 4218, 4219, 4220, 4221, 4222, 4223, 4224, 4225, 4226 4227, 4228, 4229, 4230, 4231, 4232, 4233, 4234, 4235 4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244 4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253 4254, 4255, 4256, 4257, 4258, 4259, 4260, 4261, 4262 4263, 4264, 4265, 4266, 4267, 4268, 4269, 4270, 4271 4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280 4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289 4290, 4291, 4292, 4293, 4294, 4295, 4296, 4297, 4298 4299, 4300, 4301, 4302, 4303, 4304, 4305, 4306, 4307 4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316 4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325 4326, 4327, 4328, 4329, 4330, 4331, 4332, 4333, 4334 4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343 4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352 4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361 4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370 4371, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379 4380, 4381, 4382, 4383, 4384, 4385, 4386, 4387, 4388 4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397 4398, 4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406 4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415 4416, 4417, 4418, 4419, 4420, 4421, 4422, 4423, 4424 4425, 4426, 4427, 4428, 4429, 4430, 4431, 4432, 4433 4434, 4435, 4436, 4437, 4438, 4439, 4440, 4441, 4442 4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451 4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460 4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469 4470, 4471, 4472, 4473, 4474, 4475, 4476, 4477, 4478 4479, 4480, 4481, 4482, 4483, 4484, 4485, 4486, 4487 4488, 4489, 4490, 4491, 4492, 4493, 4494, 4495, 4496 4497, 4498, 4499, 4500, 4501, 4502, 4503, 4504, 4505 4506, 4507, 4508, 4509, 4510, 4511, 4512, 4513, 4514 4515, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523 4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532 4533, 4534, 4535, 4536, 4537, 4538, 4539, 4540, 4541 4542, 4543, 4544, 4545, 4546, 4547, 4548, 4549, 4550 4551, 4552, 4553, 4554, 4555, 4556, 4557, 4558, 4559 4560, 4561, 4562, 4563, 4564, 4565, 4566, 4567, 4568 4569, 4570, 4571, 4572, 4573, 4574, 4575, 4576, 4577 4578, 4579, 4580, 4581, 4582, 4583, 4584, 4585, 4586 4587, 4588, 4589, 4590, 4591, 4592, 4593, 4594, 4595 4596, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4604 4605, 4606, 4607, 4608, 4609, 4610, 4611, 4612, 4613 4614, 4615, 4616, 4617, 4618, 4619, 4620, 4621, 4622 4623, 4624, 4625, 4626, 4627, 4628, 4629, 4630, 4631 4632, 4633, 4634, 4635, 4636, 4637, 4638, 4639, 4640 4641, 4642, 4643, 4644, 4645, 4646, 4647, 4648, 4649 4650, 4651, 4652, 4653, 4654, 4655, 4656, 4657, 4658 4659, 4660, 4661, 4662, 4663, 4664, 4665, 4666, 4667 4668, 4669, 4670, 4671, 4672, 4673, 4674, 4675, 4676 4677, 4678, 4679, 4680, 4681, 4682, 4683, 4684, 4685 4686, 4687, 4688, 4689, 4690, 4691, 4692, 4693, 4694 4695, 4696, 4697, 4698, 4699, 4700, 4701, 4702, 4703 4704, 4705, 4706, 4707, 4708, 4709, 4710, 4711, 4712 4713, 4714, 4715, 4716, 4717, 4718, 4719, 4720, 4721 4722, 4723, 4724, 4725, 4726, 4727, 4728, 4729, 4730 4731, 4732, 4733, 4734, 4735, 4736, 4737, 4738, 4739 4740, 4741, 4742, 4743, 4744, 4745, 4746, 4747, 4748 4749, 4750, 4751, 4752, 4753, 4754, 4755, 4756, 4757 4758, 4759, 4760, 4761, 4762, 4763, 4764, 4765, 4766 4767, 4768, 4769, 4770, 4771, 4772, 4773, 4774, 4775 4776, 4777, 4778, 4779, 4780, 4781, 4782, 4783, 4784 4785, 4786, 4787, 4788, 4789, 4790, 4791, 4792, 4793 4794, 4795, 4796, 4797, 4798, 4799, 4800, 4801, 4802 4803, 4804, 4805, 4806, 4807, 4808, 4809, 4810, 4811 4812, 4813, 4814, 4815, 4816, 4817, 4818, 4819, 4820 4821, 4822, 4823, 4824, 4825, 4826, 4827, 4828, 4829 4830, 4831, 4832, 4833, 4834, 4835, 4836, 4837, 4838 4839, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847 4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856 4857, 4858, 4859, 4860, 4861, 4862, 4863, 4864, 4865 4866, 4867, 4868, 4869, 4870, 4871, 4872, 4873, 4874 4875, 4876, 4877, 4878, 4879, 4880, 4881, 4882, 4883 4884, 4885, 4886, 4887, 4888, 4889, 4890, 4891, 4892 4893, 4894, 4895, 4896, 4897, 4898, 4899, 4900, 4901 4902, 4903, 4904, 4905, 4906, 4907, 4908, 4909, 4910 4911, 4912, 4913, 4914, 4915, 4916, 4917, 4918, 4919 4920, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928 4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937 4938, 4939, 4940, 4941, 4942, 4943, 4944, 4945, 4946 4947, 4948, 4949, 4950, 4951, 4952, 4953, 4954, 4955 4956, 4957, 4958, 4959, 4960, 4961, 4962, 4963, 4964 4965, 4966, 4967, 4968, 4969, 4970, 4971, 4972, 4973 4974, 4975, 4976, 4977, 4978, 4979, 4980, 4981, 4982 4983, 4984, 4985, 4986, 4987, 4988, 4989, 4990, 4991 4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999, 5000 5001, 5002, 5003, 5004, 5005, 5006, 5007, 5008, 5009 5010, 5011, 5012, 5013, 5014, 5015, 5016, 5017, 5018 5019, 5020, 5021, 5022, 5023, 5024, 5025, 5026, 5027 5028, 5029, 5030, 5031, 5032, 5033, 5034, 5035, 5036 5037, 5038, 5039, 5040, 5041, 5042, 5043, 5044, 5045 5046, 5047, 5048, 5049, 5050, 5051, 5052, 5053, 5054 5055, 5056, 5057, 5058, 5059, 5060, 5061, 5062, 5063 5064, 5065, 5066, 5067, 5068, 5069, 5070, 5071, 5072 5073, 5074, 5075, 5076, 5077, 5078, 5079, 5080, 5081 5082, 5083, 5084, 5085, 5086, 5087, 5088, 5089, 5090 5091, 5092, 5093, 5094, 5095, 5096, 5097, 5098, 5099 5100, 5101, 5102, 5103, 5104, 5105, 5106, 5107, 5108 5109, 5110, 5111, 5112, 5113, 5114, 5115, 5116, 5117 5118, 5119, 5120, 5121, 5122, 5123, 5124, 5125, 5126 5127, 5128, 5129, 5130, 5131, 5132, 5133, 5134, 5135 5136, 5137, 5138, 5139, 5140, 5141, 5142, 5143, 5144 5145, 5146, 5147, 5148, 5149, 5150, 5151, 5152, 5153 5154, 5155, 5156, 5157, 5158, 5159, 5160, 5161, 5162 5163, 5164, 5165, 5166, 5167, 5168, 5169, 5170, 5171 5172, 5173, 5174, 5175, 5176, 5177, 5178, 5179, 5180 5181, 5182, 5183, 5184, 5185, 5186, 5187, 5188, 5189 5190, 5191, 5192, 5193, 5194, 5195, 5196, 5197, 5198 5199, 5200, 5201, 5202, 5203, 5204, 5205, 5206, 5207 5208, 5209, 5210, 5211, 5212, 5213, 5214, 5215, 5216 5217, 5218, 5219, 5220, 5221, 5222, 5223, 5224, 5225 5226, 5227, 5228, 5229, 5230, 5231, 5232, 5233, 5234 5235, 5236, 5237, 5238, 5239, 5240, 5241, 5242, 5243 5244, 5245, 5246, 5247, 5248, 5249, 5250, 5251, 5252 5253, 5254, 5255, 5256, 5257, 5258, 5259, 5260, 5261 5262, 5263, 5264, 5265, 5266, 5267, 5268, 5269, 5270 5271, 5272, 5273, 5274, 5275, 5276, 5277, 5278, 5279 5280, 5281, 5282, 5283, 5284, 5285, 5286, 5287, 5288 5289, 5290, 5291, 5292, 5293, 5294, 5295, 5296, 5297 5298, 5299, 5300, 5301, 5302, 5303, 5304, 5305, 5306 5307, 5308, 5309, 5310, 5311, 5312, 5313, 5314, 5315 5316, 5317, 5318, 5319, 5320, 5321, 5322, 5323, 5324 5325, 5326, 5327, 5328, 5329, 5330, 5331, 5332, 5333 5334, 5335, 5336, 5337, 5338, 5339, 5340, 5341, 5342 5343, 5344, 5345, 5346, 5347, 5348, 5349, 5350, 5351 5352, 5353, 5354, 5355, 5356, 5357, 5358, 5359, 5360 5361, 5362, 5363, 5364, 5365, 5366, 5367, 5368, 5369 5370, 5371, 5372, 5373, 5374, 5375, 5376, 5377, 5378 5379, 5380, 5381, 5382, 5383, 5384, 5385, 5386, 5387 5388, 5389, 5390, 5391, 5392, 5393, 5394, 5395, 5396 5397, 5398, 5399, 5400, 5401, 5402, 5403, 5404, 5405 5406, 5407, 5408, 5409, 5410, 5411, 5412, 5413, 5414 5415, 5416, 5417, 5418, 5419, 5420, 5421, 5422, 5423 5424, 5425, 5426, 5427, 5428, 5429, 5430, 5431, 5432 5433, 5434, 5435, 5436, 5437, 5438, 5439, 5440, 5441 5442, 5443, 5444, 5445, 5446, 5447, 5448, 5449, 5450 5451, 5452, 5453, 5454, 5455, 5456, 5457, 5458, 5459 5460, 5461, 5462, 5463, 5464, 5465, 5466, 5467, 5468 5469, 5470, 5471, 5472, 5473, 5474, 5475, 5476, 5477 5478, 5479, 5480, 5481, 5482, 5483, 5484, 5485, 5486 5487, 5488, 5489, 5490, 5491, 5492, 5493, 5494, 5495 5496, 5497, 5498, 5499, 5500, 5501, 5502, 5503, 5504 5505, 5506, 5507, 5508, 5509, 5510, 5511, 5512, 5513 5514, 5515, 5516, 5517, 5518, 5519, 5520, 5521, 5522 5523, 5524, 5525, 5526, 5527, 5528, 5529, 5530, 5531 5532, 5533, 5534, 5535, 5536, 5537, 5538, 5539, 5540 5541, 5542, 5543, 5544, 5545, 5546, 5547, 5548, 5549 5550, 5551, 5552, 5553, 5554, 5555, 5556, 5557, 5558 5559, 5560, 5561, 5562, 5563, 5564, 5565, 5566, 5567 5568, 5569, 5570, 5571, 5572, 5573, 5574, 5575, 5576 5577, 5578, 5579, 5580, 5581, 5582, 5583, 5584, 5585 5586, 5587, 5588, 5589, 5590, 5591, 5592, 5593, 5594 5595, 5596, 5597, 5598, 5599, 5600, 5601, 5602, 5603 5604, 5605, 5606, 5607, 5608, 5609, 5610, 5611, 5612 5613, 5614, 5615, 5616, 5617, 5618, 5619, 5620, 5621 5622, 5623, 5624, 5625, 5626, 5627, 5628, 5629, 5630 5631, 5632, 5633, 5634, 5635, 5636, 5637, 5638, 5639 5640, 5641, 5642, 5643, 5644, 5645, 5646, 5647, 5648 5649, 5650, 5651, 5652, 5653, 5654, 5655, 5656, 5657 5658, 5659, 5660, 5661, 5662, 5663, 5664, 5665, 5666 5667, 5668, 5669, 5670, 5671, 5672, 5673, 5674, 5675 5676, 5677, 5678, 5679, 5680, 5681, 5682, 5683, 5684 5685, 5686, 5687, 5688, 5689, 5690, 5691, 5692, 5693 5694, 5695, 5696, 5697, 5698, 5699, 5700, 5701, 5702 5703, 5704, 5705, 5706, 5707, 5708, 5709, 5710, 5711 5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719, 5720 5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728, 5729 5730, 5731, 5732, 5733, 5734, 5735, 5736, 5737, 5738 5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746, 5747 5748, 5749, 5750, 5751, 5752, 5753, 5754, 5755, 5756 5757, 5758, 5759, 5760, 5761, 5762, 5763, 5764, 5765 5766, 5767, 5768, 5769, 5770, 5771, 5772, 5773, 5774 5775, 5776, 5777, 5778, 5779, 5780, 5781, 5782, 5783 5784, 5785, 5786, 5787, 5788, 5789, 5790, 5791, 5792 5793, 5794, 5795, 5796, 5797, 5798, 5799, 5800, 5801 5802, 5803, 5804, 5805, 5806, 5807, 5808, 5809, 5810 5811, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819 5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828 5829, 5830, 5831, 5832, 5833, 5834, 5835, 5836, 5837 5838, 5839, 5840, 5841, 5842, 5843, 5844, 5845, 5846 5847, 5848, 5849, 5850, 5851, 5852, 5853, 5854, 5855 5856, 5857, 5858, 5859, 5860, 5861, 5862, 5863, 5864 5865, 5866, 5867, 5868, 5869, 5870, 5871, 5872, 5873 5874, 5875, 5876, 5877, 5878, 5879, 5880, 5881, 5882 5883, 5884, 5885, 5886, 5887, 5888, 5889, 5890, 5891 5892, 5893, 5894, 5895, 5896, 5897, 5898, 5899, 5900 5901, 5902, 5903, 5904, 5905, 5906, 5907, 5908, 5909 5910, 5911, 5912, 5913, 5914, 5915, 5916, 5917, 5918 5919, 5920, 5921, 5922, 5923, 5924, 5925, 5926, 5927 5928, 5929, 5930, 5931, 5932, 5933, 5934, 5935, 5936 5937, 5938, 5939, 5940, 5941, 5942, 5943, 5944, 5945 5946, 5947, 5948, 5949, 5950, 5951, 5952, 5953, 5954 5955, 5956, 5957, 5958, 5959, 5960, 5961, 5962, 5963 5964, 5965, 5966, 5967, 5968, 5969, 5970, 5971, 5972 5973, 5974, 5975, 5976, 5977, 5978, 5979, 5980, 5981 5982, 5983, 5984, 5985, 5986, 5987, 5988, 5989, 5990 5991, 5992, 5993, 5994, 5995, 5996, 5997, 5998, 5999 6000, 6001, 6002, 6003, 6004, 6005, 6006, 6007, 6008 6009, 6010, 6011, 6012, 6013, 6014, 6015, 6016, 6017 6018, 6019, 6020, 6021, 6022, 6023, 6024, 6025, 6026 6027, 6028, 6029, 6030, 6031, 6032, 6033, 6034, 6035 6036, 6037, 6038, 6039, 6040, 6041, 6042, 6043, 6044 6045, 6046, 6047, 6048, 6049, 6050, 6051, 6052, 6053 6054, 6055, 6056, 6057, 6058, 6059, 6060, 6061, 6062 6063, 6064, 6065, 6066, 6067, 6068, 6069, 6070, 6071 6072, 6073, 6074, 6075, 6076, 6077, 6078, 6079, 6080 6081, 6082, 6083, 6084, 6085, 6086, 6087, 6088, 6089 6090, 6091, 6092, 6093, 6094, 6095, 6096, 6097, 6098 6099, 6100, 6101, 6102, 6103, 6104, 6105, 6106, 6107 6108, 6109, 6110, 6111, 6112, 6113, 6114, 6115, 6116 6117, 6118, 6119, 6120, 6121, 6122, 6123, 6124, 6125 6126, 6127, 6128, 6129, 6130, 6131, 6132, 6133, 6134 6135, 6136, 6137, 6138, 6139, 6140, 6141, 6142, 6143 6144, 6145, 6146, 6147, 6148, 6149, 6150, 6151, 6152 6153, 6154, 6155, 6156, 6157, 6158, 6159, 6160, 6161 6162, 6163, 6164, 6165, 6166, 6167, 6168, 6169, 6170 6171, 6172, 6173, 6174, 6175, 6176, 6177, 6178, 6179 6180, 6181, 6182, 6183, 6184, 6185, 6186, 6187, 6188 6189, 6190, 6191, 6192, 6193, 6194, 6195, 6196, 6197 6198, 6199, 6200, 6201, 6202, 6203, 6204, 6205, 6206 6207, 6208, 6209, 6210, 6211, 6212, 6213, 6214, 6215 6216, 6217, 6218, 6219, 6220, 6221, 6222, 6223, 6224 6225, 6226, 6227, 6228, 6229, 6230, 6231, 6232, 6233 6234, 6235, 6236, 6237, 6238, 6239, 6240, 6241, 6242 6243, 6244, 6245, 6246, 6247, 6248, 6249, 6250, 6251 6252, 6253, 6254, 6255, 6256, 6257, 6258, 6259, 6260 6261, 6262, 6263, 6264, 6265, 6266, 6267, 6268, 6269 6270, 6271, 6272, 6273, 6274, 6275, 6276, 6277, 6278 6279, 6280, 6281, 6282, 6283, 6284, 6285, 6286, 6287 6288, 6289, 6290, 6291, 6292, 6293, 6294, 6295, 6296 6297, 6298, 6299, 6300, 6301, 6302, 6303, 6304, 6305 6306, 6307, 6308, 6309, 6310, 6311, 6312, 6313, 6314 6315, 6316, 6317, 6318, 6319, 6320, 6321, 6322, 6323 6324, 6325, 6326, 6327, 6328, 6329, 6330, 6331, 6332 6333, 6334, 6335, 6336, 6337, 6338, 6339, 6340, 6341 6342, 6343, 6344, 6345, 6346, 6347, 6348, 6349, 6350 6351, 6352, 6353, 6354, 6355, 6356, 6357, 6358, 6359 6360, 6361, 6362, 6363, 6364, 6365, 6366, 6367, 6368 6369, 6370, 6371, 6372, 6373, 6374, 6375, 6376, 6377 6378, 6379, 6380, 6381, 6382, 6383, 6384, 6385, 6386 6387, 6388, 6389, 6390, 6391, 6392, 6393, 6394, 6395 6396, 6397, 6398, 6399, 6400, 6401, 6402, 6403, 6404 6405, 6406, 6407, 6408, 6409, 6410, 6411, 6412, 6413 6414, 6415, 6416, 6417, 6418, 6419, 6420, 6421, 6422 6423, 6424, 6425, 6426, 6427, 6428, 6429, 6430, 6431 6432, 6433, 6434, 6435, 6436, 6437, 6438, 6439, 6440 6441, 6442, 6443, 6444, 6445, 6446, 6447, 6448, 6449 6450, 6451, 6452, 6453, 6454, 6455, 6456, 6457, 6458 6459, 6460, 6461, 6462, 6463, 6464, 6465, 6466, 6467 6468, **Section: Section_Grain-1 *Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1 , **Section: Section_Grain-2 *Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2 , **Section: Section_Grain-3 *Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3 , **Section: Section_Grain-4 *Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4 , **Section: Section_Grain-5 *Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5 , **Section: Section_Grain-6 *Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6 , **Section: Section_Grain-7 *Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7 , **Section: Section_Grain-8 *Solid Section, elset=GRAIN-8, material=MATERIAL-GRAIN8 , **Section: Section_Grain-9 *Solid Section, elset=GRAIN-9, material=MATERIAL-GRAIN9 , **Section: Section_Grain-10 *Solid Section, elset=GRAIN-10, material=MATERIAL-GRAIN10 , **Section: Section_Grain-11 *Solid Section, elset=GRAIN-11, material=MATERIAL-GRAIN11 , **Section: Section_Grain-12 *Solid Section, elset=GRAIN-12, material=MATERIAL-GRAIN12 , **Section: Section_Grain-13 *Solid Section, elset=GRAIN-13, material=MATERIAL-GRAIN13 , **Section: Section_Grain-14 *Solid Section, elset=GRAIN-14, material=MATERIAL-GRAIN14 , **Section: Section_Grain-15 *Solid Section, elset=GRAIN-15, material=MATERIAL-GRAIN15 , **Section: Section_Grain-16 *Solid Section, elset=GRAIN-16, material=MATERIAL-GRAIN16 , **Section: Section_Grain-17 *Solid Section, elset=GRAIN-17, material=MATERIAL-GRAIN17 , **Section: Section_Grain-18 *Solid Section, elset=GRAIN-18, material=MATERIAL-GRAIN18 , **Section: Section_Grain-19 *Solid Section, elset=GRAIN-19, material=MATERIAL-GRAIN19 , **Section: Section_Grain-20 *Solid Section, elset=GRAIN-20, material=MATERIAL-GRAIN20 , **Section: Section_Grain-21 *Solid Section, elset=GRAIN-21, material=MATERIAL-GRAIN21 , **Section: Section_Grain-22 *Solid Section, elset=GRAIN-22, material=MATERIAL-GRAIN22 , **Section: Section_Grain-23 *Solid Section, elset=GRAIN-23, material=MATERIAL-GRAIN23 , **Section: Section_Grain-24 *Solid Section, elset=GRAIN-24, material=MATERIAL-GRAIN24 , **Section: Section_Grain-25 *Solid Section, elset=GRAIN-25, material=MATERIAL-GRAIN25 , **Section: Section_Grain-26 *Solid Section, elset=GRAIN-26, material=MATERIAL-GRAIN26 , **Section: Section_Grain-27 *Solid Section, elset=GRAIN-27, material=MATERIAL-GRAIN27 , **Section: Section_Grain-28 *Solid Section, elset=GRAIN-28, material=MATERIAL-GRAIN28 , **Section: Section_Grain-29 *Solid Section, elset=GRAIN-29, material=MATERIAL-GRAIN29 , **Section: Section_Grain-30 *Solid Section, elset=GRAIN-30, material=MATERIAL-GRAIN30 , *End Part ** **ASSEMBLY ** *Assembly, name=Assembly ** *Instance, name=NEPER-1, part=NEPER *NODE 1, 0.000000e+00, 1.000000e+00, 0.000000e+00 2, 0.000000e+00, 1.000000e+00, 4.386705e-01 3, 4.221610e-01, 1.000000e+00, 4.807216e-01 4, 5.268863e-01, 1.000000e+00, 3.942699e-01 5, 5.638708e-01, 8.130270e-01, 3.933024e-01 6, 5.519767e-01, 5.750683e-01, 3.573443e-01 7, 4.464926e-01, 7.426254e-01, 5.013309e-01 8, 5.278840e-01, 5.905412e-01, 4.013663e-01 9, 5.247122e-01, 7.282543e-01, 4.390321e-01 10, 0.000000e+00, 4.230034e-01, 0.000000e+00 11, 4.777264e-01, 4.480484e-01, 2.819534e-01 12, 5.184787e-01, 4.877615e-01, 0.000000e+00 13, 3.949373e-01, 6.087350e-01, 5.056559e-01 14, 4.255564e-01, 5.580808e-01, 4.697305e-01 15, 0.000000e+00, 3.892096e-01, 2.752002e-01 16, 0.000000e+00, 5.276046e-01, 4.720491e-01 17, 2.670109e-01, 5.147846e-01, 4.995517e-01 18, 3.435122e-01, 4.728930e-01, 4.530705e-01 19, 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114.8205, -200.6181, 1, 2, 1, 12, 6 0, 0.31, 0.25, 170000, 124000, 75000, 0, 0 0, 0, 0, 0, 1, 0, 0, 0 3, 0.001, 20, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 1, 0, 0, 0, 0, 1, 0, 0 0, 1, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0.000256, 0.000256 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256, 0.000256 0.000256, 0.000256, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 16, 16, 16, 16 16, 16, 16, 16, 16, 16, 16, 16 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, 0, 0, 0, 0, 0, 0 0, 0, *Material, name=MATERIAL-GRAIN2 *Depvar 12, *User Material, constants=250 -80.5054, 82.0742, 17.3422, 2, 2, 1, 12, 6 0, 0.31, 0.25, 170000, 124000, 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####################################### # Version 3 of Neper # Code created by Alvaro Martinez Pechero and Eralp Demir # alvaro.martinezpechero@eng.ox.ac.uk ####################################### def Neper2Abaqus(filename, matID ,noDepvar): import numpy as np import pandas as pd # Set material ID: # - enter "0" to use Neper phase output # - enter "1-10" material ID number if user defined! filename = filename with open(filename+".msh", "r+") as fid: tlines = [] for tline in fid: tlines.append(tline.rstrip("\n")) slines = [str(tline) for tline in tlines] # Find the header line st = slines.index("$Nodes") header_line = slines.index("$Nodes") # Find the cell that starts with the total node number tot_nodes = int(slines[header_line + 1]) # Read node coordinates crds = np.zeros((tot_nodes+1, 4)) ########### for i in range(st + 2, st + 2 + tot_nodes): # the -1 dummy = [float(x) for x in slines[i].split()] ii = int(dummy[0]) crds[ii, 0:4] = dummy[0:4] st = slines.index("$EndElements") dummy = [int(x) for x in slines[st-1].split()] ntag = dummy[2] neltyp = dummy[1] ch = 'PS' # plane stress by default if neltyp == 2: eltyp = 'C' + ch + '3' nnpel = 3 numpt = 1 elif neltyp == 3: eltyp = 'C' + ch + '4' nnpel = 4 numpt = 4 elif neltyp == 9: eltyp = 'C' + ch + '6' nnpel = 6 numpt = 3 elif neltyp == 16: eltyp = 'C' + ch + '8' nnpel = 8 numpt = 4 elif neltyp == 4: eltyp = 'C3D4' nnpel = 4 numpt = 1 elif neltyp == 6: eltyp = 'C3D6' nnpel = 6 numpt = 2 elif neltyp == 5: eltyp = 'C3D8' nnpel = 8 numpt = 8 elif neltyp == 11: eltyp = 'C3D10' nnpel = 10 numpt = 4 elif neltyp == 18: eltyp = 'C3D15' nnpel = 15 numpt = 9 elif neltyp == 17: eltyp = 'C3D20' nnpel = 20 numpt = 27 # Total number of elements # Read from bottom line until the i = 0 etyp = neltyp while etyp == neltyp: i = i + 1 dummy = [float(x) for x in slines[st-i].split()]#CHECK THIS ONE if len(dummy) > 1: etyp = dummy[1] else: break tot_els = i - 1 # Read connectivity conn = np.zeros((tot_els, nnpel+1)) # Grain ids grains = np.zeros((tot_els, 1)) # Phase ids phases = np.zeros((tot_els, 1)) # CHANGES OF NEW VERSION materials materials = np.ones((tot_els, 1)) * matID ii = tot_els - 1 for i in range(st-1, st-1-tot_els, -1): #CHECK THIS ONE dummy = np.fromstring(slines[i], dtype=int, sep=' ') # Connectivity conn[ii] = np.append([dummy[0]], dummy[3+ntag:3+ntag+nnpel+1])#CHECK THIS ONE grains[ii] = dummy[3] # Last tag is assumed to be the phase id # It is normally zero so set to some number phases[ii] = dummy[2+ntag] # Element index ii -= 1 st = slines.index("$EndPhysicalNames") cc = slines[st-1] aa = [int(x) for x in cc.split()[:2]] nextindex = len(cc.split()[:2]) + 1 ee = str(aa[1]) dd = cc[nextindex:] setname = dd[:-len(ee)] st = slines.index('$ElsetOrientations') tot_grains = int(slines[st + 1].split()[0]) eulers = np.zeros((tot_grains, 3)) for i in range(st + 2, tot_grains + st + 2): dummy = [float(j) for j in slines[i].split()] eulers[int(dummy[0]) - 1, :] = dummy[1:4] euler = np.zeros((tot_els, 3)) for i in range(tot_els): grnid = int(grains[i]) euler[i, :] = eulers[grnid - 1, :] grain_order, grain_record = np.unique(grains, return_index=True) phase_order = phases[grain_record] material_order = materials[grain_record] euler_angle1 = euler[grain_record, 0] euler_angle2 = euler[grain_record, 1] euler_angle3 = euler[grain_record, 2] ################################################################################ ## WRITE TO THE FILE FROM HERE ################################################################################ print(filename) with open("{}.inp".format(filename), "w") as inp_file: inp_file.write("** Generated by Neper and modified by: Neper2Abaqus.m\n") inp_file.write("**PARTS\n**\n") inp_file.write("*Part, name=NEPER\n") inp_file.write("*NODE\n") for crd in crds[1:]: #REVISE -1 inp_file.write("{},\t{:e},\t{:e}, \t{:e}\n".format(int(crd[0]), crd[1], crd[2], crd[3])) inp_file.write("*Element, type={}\n".format(eltyp)) #inp_file.write("hola") sstr = "" for i in range(nnpel): sstr += " {:d}," sstr += " {:d}\n" #################################### intconn=np.asarray(conn, dtype = 'int') for conn_row in intconn: inp_file.write(sstr.format(*conn_row)) #print(conn_row) #################################### unique_grains=np.unique(grains) for ii in range(len(unique_grains)): integergrainorder=int(grain_order[ii]) inp_file.write(f"*Elset, elset=GRAIN-{integergrainorder}\n") #print('gr',gr) grain_elements = conn[int(grain_order[ii])] for ee in range(0,len(conn[(grains == grain_order[ii]).ravel()][:,0]),9): inp_file.write(", ".join(str(int(e)) for e in conn[(grains == grain_order[ii]).ravel()][ee:ee+9,0]) + "\n") numels = 0 for tt in range(len(grain_elements)): numels += 1 uniPhases = np.unique(phases) for ii in range(len(np.unique(phases))): inp_file.write(f"\n*Elset, elset=Phase-{ii + 1}\n") elem_for_ii = conn[(phases == uniPhases[ii]).ravel()] for ee in range(0,len(elem_for_ii[:,0]),9): inp_file.write(", ".join(str(int(e)) for e in elem_for_ii[ee:ee+9,0]) + "\n") for ii in range(len(grain_order)): inp_file.write("\n**Section: Section_Grain-%d\n" % grain_order[ii]) inp_file.write("*Solid Section, elset=GRAIN-%d, material=MATERIAL-GRAIN%d\n" % (grain_order[ii], grain_order[ii])) inp_file.write(",\n") # Write the closing keyword inp_file.write("*End Part\n") # Write the assembly information inp_file.write("**\n**ASSEMBLY\n**\n") inp_file.write("*Assembly, name=Assembly\n**\n") inp_file.write("*Instance, name=NEPER-1, part=NEPER\n") # Write the nodes inp_file.write("*NODE\n") for i in range(1,len(crds[:,0])): inp_file.write(f"{int(crds[i, 0])},\t{'{:.6e}'.format(crds[i, 1])},\t{'{:.6e}'.format(crds[i, 2])},\t{'{:.6e}'.format(crds[i, 3])}\n") #inp_file.write("%d, %.2f, %.2f, %.2f\n" % (i+1, nodes[i, 1], nodes[i, 2], nodes[i, 3])) inp_file.write('*Element, type=' + eltyp + '\n') sstr = '' #print(conn[-1]) for i in range(len(conn)): intconn2=np.asarray(conn[i], dtype = 'int') line = ','.join(str(x) for x in intconn2) inp_file.write(line + '\n') inp_file.write('\n*End Instance\n') inp_file.write('**\n') inp_file.write('*End Assembly\n**MATERIALS\n**\n') #import material parameters to be used in the development of materials #for each grain. df = pd.read_excel('PROPS.xlsx', sheet_name='Material_parameters', usecols="A", header=None) A16 = np.array(df.iloc[0:6, :]) # Flag for reading the inputs from the file or material library # "0": material library in usermaterial.f will be used # "1": use the material parameters in excel file if A16[5] == 0: A = [""] * 6 A[5] = 0 #CHANGE HERE noPROPS = 6 # Flag for reading the inputs from the file or material library # "0": material library in usermaterial.f will be used # "1": use the material parameters in excel file else: A = [""] * 300 A[5] = 1 noPROPS = 300 #noDepvar = 1; for ii in range(len(grain_order)): inp_file.write("\n*Material, name=MATERIAL-GRAIN%d" % int(grain_order[ii])) inp_file.write(f"\n*Depvar\n{noDepvar},") inp_file.write(f"\n*User Material, constants={noPROPS}\n") A[0:3] = [euler_angle1[ii], euler_angle2[ii], euler_angle3[ii]] A[3] = int(grain_order[ii]) # PHASE ORDER ID if matID>0: A[4] = int(material_order[ii]) else: A[4] = int(phase_order[ii]) if A16[5] ==1: for iph in uniPhases: #print(iph) letter = chr(int(iph) + 64) xlRange = f"{letter}1:{letter}300"#CHANGE df = pd.read_excel("PROPS.xlsx", sheet_name='Material_parameters', usecols="A", header=None) B = np.array(df.iloc[0:301, :]).flatten() #print(B) #B=tolist(B) # All parameters A[6:301] = B[6:301] #print(A) for i in range(0, len(A), 8): if i+8<=len(A): A[i+7]=A[i+7].item() inp_file.write(",".join(str(x) for x in A[i:i+8]) + "\n") inp_file.write("\n**") inp_file.write("\n**\n** STEP: Loading\n**\n*Step, name=Loading, nlgeom=YES, inc=10000\n*Static\n0.01, 10., 1e-05, 1.") inp_file.write("\n**\n** OUTPUT REQUESTS\n**") inp_file.write("\n*Restart, write, frequency=0\n**") inp_file.write("\n** FIELD OUTPUT: F-Output-1\n**\n*Output, field, variable=PRESELECT\n**") if noDepvar>0: inp_file.write("\n** FIELD OUTPUT: F-Output-2\n**\n*Element Output, directions=YES\nSDV,\n**") inp_file.write("\n** HISTORY OUTPUT: H-Output-1\n**\n*Output, history, variable=PRESELECT\n**") inp_file.write("\n*End Step") inp_file.close() ================================================ FILE: Neper2Abaqus/Step-2b Python/abq_hex.inp ================================================ ** Generated by Neper and modified by: Neper2Abaqus.m **PARTS ** *Part, name=NEPER *NODE 1, 0.000000e+00, 0.000000e+00, 0.000000e+00 2, 7.142857e-02, 0.000000e+00, 0.000000e+00 3, 1.428571e-01, 0.000000e+00, 0.000000e+00 4, 2.142857e-01, 0.000000e+00, 0.000000e+00 5, 2.857143e-01, 0.000000e+00, 0.000000e+00 6, 3.571429e-01, 0.000000e+00, 0.000000e+00 7, 4.285714e-01, 0.000000e+00, 0.000000e+00 8, 5.000000e-01, 0.000000e+00, 0.000000e+00 9, 5.714286e-01, 0.000000e+00, 0.000000e+00 10, 6.428571e-01, 0.000000e+00, 0.000000e+00 11, 7.142857e-01, 0.000000e+00, 0.000000e+00 12, 7.857143e-01, 0.000000e+00, 0.000000e+00 13, 8.571429e-01, 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1.000000e+00, 5.000000e-01 1798, 8.571429e-01, 1.000000e+00, 5.000000e-01 1799, 9.285714e-01, 1.000000e+00, 5.000000e-01 1800, 1.000000e+00, 1.000000e+00, 5.000000e-01 1801, 0.000000e+00, 0.000000e+00, 5.714286e-01 1802, 7.142857e-02, 0.000000e+00, 5.714286e-01 1803, 1.428571e-01, 0.000000e+00, 5.714286e-01 1804, 2.142857e-01, 0.000000e+00, 5.714286e-01 1805, 2.857143e-01, 0.000000e+00, 5.714286e-01 1806, 3.571429e-01, 0.000000e+00, 5.714286e-01 1807, 4.285714e-01, 0.000000e+00, 5.714286e-01 1808, 5.000000e-01, 0.000000e+00, 5.714286e-01 1809, 5.714286e-01, 0.000000e+00, 5.714286e-01 1810, 6.428571e-01, 0.000000e+00, 5.714286e-01 1811, 7.142857e-01, 0.000000e+00, 5.714286e-01 1812, 7.857143e-01, 0.000000e+00, 5.714286e-01 1813, 8.571429e-01, 0.000000e+00, 5.714286e-01 1814, 9.285714e-01, 0.000000e+00, 5.714286e-01 1815, 1.000000e+00, 0.000000e+00, 5.714286e-01 1816, 0.000000e+00, 7.142857e-02, 5.714286e-01 1817, 7.142857e-02, 7.142857e-02, 5.714286e-01 1818, 1.428571e-01, 7.142857e-02, 5.714286e-01 1819, 2.142857e-01, 7.142857e-02, 5.714286e-01 1820, 2.857143e-01, 7.142857e-02, 5.714286e-01 1821, 3.571429e-01, 7.142857e-02, 5.714286e-01 1822, 4.285714e-01, 7.142857e-02, 5.714286e-01 1823, 5.000000e-01, 7.142857e-02, 5.714286e-01 1824, 5.714286e-01, 7.142857e-02, 5.714286e-01 1825, 6.428571e-01, 7.142857e-02, 5.714286e-01 1826, 7.142857e-01, 7.142857e-02, 5.714286e-01 1827, 7.857143e-01, 7.142857e-02, 5.714286e-01 1828, 8.571429e-01, 7.142857e-02, 5.714286e-01 1829, 9.285714e-01, 7.142857e-02, 5.714286e-01 1830, 1.000000e+00, 7.142857e-02, 5.714286e-01 1831, 0.000000e+00, 1.428571e-01, 5.714286e-01 1832, 7.142857e-02, 1.428571e-01, 5.714286e-01 1833, 1.428571e-01, 1.428571e-01, 5.714286e-01 1834, 2.142857e-01, 1.428571e-01, 5.714286e-01 1835, 2.857143e-01, 1.428571e-01, 5.714286e-01 1836, 3.571429e-01, 1.428571e-01, 5.714286e-01 1837, 4.285714e-01, 1.428571e-01, 5.714286e-01 1838, 5.000000e-01, 1.428571e-01, 5.714286e-01 1839, 5.714286e-01, 1.428571e-01, 5.714286e-01 1840, 6.428571e-01, 1.428571e-01, 5.714286e-01 1841, 7.142857e-01, 1.428571e-01, 5.714286e-01 1842, 7.857143e-01, 1.428571e-01, 5.714286e-01 1843, 8.571429e-01, 1.428571e-01, 5.714286e-01 1844, 9.285714e-01, 1.428571e-01, 5.714286e-01 1845, 1.000000e+00, 1.428571e-01, 5.714286e-01 1846, 0.000000e+00, 2.142857e-01, 5.714286e-01 1847, 7.142857e-02, 2.142857e-01, 5.714286e-01 1848, 1.428571e-01, 2.142857e-01, 5.714286e-01 1849, 2.142857e-01, 2.142857e-01, 5.714286e-01 1850, 2.857143e-01, 2.142857e-01, 5.714286e-01 1851, 3.571429e-01, 2.142857e-01, 5.714286e-01 1852, 4.285714e-01, 2.142857e-01, 5.714286e-01 1853, 5.000000e-01, 2.142857e-01, 5.714286e-01 1854, 5.714286e-01, 2.142857e-01, 5.714286e-01 1855, 6.428571e-01, 2.142857e-01, 5.714286e-01 1856, 7.142857e-01, 2.142857e-01, 5.714286e-01 1857, 7.857143e-01, 2.142857e-01, 5.714286e-01 1858, 8.571429e-01, 2.142857e-01, 5.714286e-01 1859, 9.285714e-01, 2.142857e-01, 5.714286e-01 1860, 1.000000e+00, 2.142857e-01, 5.714286e-01 1861, 0.000000e+00, 2.857143e-01, 5.714286e-01 1862, 7.142857e-02, 2.857143e-01, 5.714286e-01 1863, 1.428571e-01, 2.857143e-01, 5.714286e-01 1864, 2.142857e-01, 2.857143e-01, 5.714286e-01 1865, 2.857143e-01, 2.857143e-01, 5.714286e-01 1866, 3.571429e-01, 2.857143e-01, 5.714286e-01 1867, 4.285714e-01, 2.857143e-01, 5.714286e-01 1868, 5.000000e-01, 2.857143e-01, 5.714286e-01 1869, 5.714286e-01, 2.857143e-01, 5.714286e-01 1870, 6.428571e-01, 2.857143e-01, 5.714286e-01 1871, 7.142857e-01, 2.857143e-01, 5.714286e-01 1872, 7.857143e-01, 2.857143e-01, 5.714286e-01 1873, 8.571429e-01, 2.857143e-01, 5.714286e-01 1874, 9.285714e-01, 2.857143e-01, 5.714286e-01 1875, 1.000000e+00, 2.857143e-01, 5.714286e-01 1876, 0.000000e+00, 3.571429e-01, 5.714286e-01 1877, 7.142857e-02, 3.571429e-01, 5.714286e-01 1878, 1.428571e-01, 3.571429e-01, 5.714286e-01 1879, 2.142857e-01, 3.571429e-01, 5.714286e-01 1880, 2.857143e-01, 3.571429e-01, 5.714286e-01 1881, 3.571429e-01, 3.571429e-01, 5.714286e-01 1882, 4.285714e-01, 3.571429e-01, 5.714286e-01 1883, 5.000000e-01, 3.571429e-01, 5.714286e-01 1884, 5.714286e-01, 3.571429e-01, 5.714286e-01 1885, 6.428571e-01, 3.571429e-01, 5.714286e-01 1886, 7.142857e-01, 3.571429e-01, 5.714286e-01 1887, 7.857143e-01, 3.571429e-01, 5.714286e-01 1888, 8.571429e-01, 3.571429e-01, 5.714286e-01 1889, 9.285714e-01, 3.571429e-01, 5.714286e-01 1890, 1.000000e+00, 3.571429e-01, 5.714286e-01 1891, 0.000000e+00, 4.285714e-01, 5.714286e-01 1892, 7.142857e-02, 4.285714e-01, 5.714286e-01 1893, 1.428571e-01, 4.285714e-01, 5.714286e-01 1894, 2.142857e-01, 4.285714e-01, 5.714286e-01 1895, 2.857143e-01, 4.285714e-01, 5.714286e-01 1896, 3.571429e-01, 4.285714e-01, 5.714286e-01 1897, 4.285714e-01, 4.285714e-01, 5.714286e-01 1898, 5.000000e-01, 4.285714e-01, 5.714286e-01 1899, 5.714286e-01, 4.285714e-01, 5.714286e-01 1900, 6.428571e-01, 4.285714e-01, 5.714286e-01 1901, 7.142857e-01, 4.285714e-01, 5.714286e-01 1902, 7.857143e-01, 4.285714e-01, 5.714286e-01 1903, 8.571429e-01, 4.285714e-01, 5.714286e-01 1904, 9.285714e-01, 4.285714e-01, 5.714286e-01 1905, 1.000000e+00, 4.285714e-01, 5.714286e-01 1906, 0.000000e+00, 5.000000e-01, 5.714286e-01 1907, 7.142857e-02, 5.000000e-01, 5.714286e-01 1908, 1.428571e-01, 5.000000e-01, 5.714286e-01 1909, 2.142857e-01, 5.000000e-01, 5.714286e-01 1910, 2.857143e-01, 5.000000e-01, 5.714286e-01 1911, 3.571429e-01, 5.000000e-01, 5.714286e-01 1912, 4.285714e-01, 5.000000e-01, 5.714286e-01 1913, 5.000000e-01, 5.000000e-01, 5.714286e-01 1914, 5.714286e-01, 5.000000e-01, 5.714286e-01 1915, 6.428571e-01, 5.000000e-01, 5.714286e-01 1916, 7.142857e-01, 5.000000e-01, 5.714286e-01 1917, 7.857143e-01, 5.000000e-01, 5.714286e-01 1918, 8.571429e-01, 5.000000e-01, 5.714286e-01 1919, 9.285714e-01, 5.000000e-01, 5.714286e-01 1920, 1.000000e+00, 5.000000e-01, 5.714286e-01 1921, 0.000000e+00, 5.714286e-01, 5.714286e-01 1922, 7.142857e-02, 5.714286e-01, 5.714286e-01 1923, 1.428571e-01, 5.714286e-01, 5.714286e-01 1924, 2.142857e-01, 5.714286e-01, 5.714286e-01 1925, 2.857143e-01, 5.714286e-01, 5.714286e-01 1926, 3.571429e-01, 5.714286e-01, 5.714286e-01 1927, 4.285714e-01, 5.714286e-01, 5.714286e-01 1928, 5.000000e-01, 5.714286e-01, 5.714286e-01 1929, 5.714286e-01, 5.714286e-01, 5.714286e-01 1930, 6.428571e-01, 5.714286e-01, 5.714286e-01 1931, 7.142857e-01, 5.714286e-01, 5.714286e-01 1932, 7.857143e-01, 5.714286e-01, 5.714286e-01 1933, 8.571429e-01, 5.714286e-01, 5.714286e-01 1934, 9.285714e-01, 5.714286e-01, 5.714286e-01 1935, 1.000000e+00, 5.714286e-01, 5.714286e-01 1936, 0.000000e+00, 6.428571e-01, 5.714286e-01 1937, 7.142857e-02, 6.428571e-01, 5.714286e-01 1938, 1.428571e-01, 6.428571e-01, 5.714286e-01 1939, 2.142857e-01, 6.428571e-01, 5.714286e-01 1940, 2.857143e-01, 6.428571e-01, 5.714286e-01 1941, 3.571429e-01, 6.428571e-01, 5.714286e-01 1942, 4.285714e-01, 6.428571e-01, 5.714286e-01 1943, 5.000000e-01, 6.428571e-01, 5.714286e-01 1944, 5.714286e-01, 6.428571e-01, 5.714286e-01 1945, 6.428571e-01, 6.428571e-01, 5.714286e-01 1946, 7.142857e-01, 6.428571e-01, 5.714286e-01 1947, 7.857143e-01, 6.428571e-01, 5.714286e-01 1948, 8.571429e-01, 6.428571e-01, 5.714286e-01 1949, 9.285714e-01, 6.428571e-01, 5.714286e-01 1950, 1.000000e+00, 6.428571e-01, 5.714286e-01 1951, 0.000000e+00, 7.142857e-01, 5.714286e-01 1952, 7.142857e-02, 7.142857e-01, 5.714286e-01 1953, 1.428571e-01, 7.142857e-01, 5.714286e-01 1954, 2.142857e-01, 7.142857e-01, 5.714286e-01 1955, 2.857143e-01, 7.142857e-01, 5.714286e-01 1956, 3.571429e-01, 7.142857e-01, 5.714286e-01 1957, 4.285714e-01, 7.142857e-01, 5.714286e-01 1958, 5.000000e-01, 7.142857e-01, 5.714286e-01 1959, 5.714286e-01, 7.142857e-01, 5.714286e-01 1960, 6.428571e-01, 7.142857e-01, 5.714286e-01 1961, 7.142857e-01, 7.142857e-01, 5.714286e-01 1962, 7.857143e-01, 7.142857e-01, 5.714286e-01 1963, 8.571429e-01, 7.142857e-01, 5.714286e-01 1964, 9.285714e-01, 7.142857e-01, 5.714286e-01 1965, 1.000000e+00, 7.142857e-01, 5.714286e-01 1966, 0.000000e+00, 7.857143e-01, 5.714286e-01 1967, 7.142857e-02, 7.857143e-01, 5.714286e-01 1968, 1.428571e-01, 7.857143e-01, 5.714286e-01 1969, 2.142857e-01, 7.857143e-01, 5.714286e-01 1970, 2.857143e-01, 7.857143e-01, 5.714286e-01 1971, 3.571429e-01, 7.857143e-01, 5.714286e-01 1972, 4.285714e-01, 7.857143e-01, 5.714286e-01 1973, 5.000000e-01, 7.857143e-01, 5.714286e-01 1974, 5.714286e-01, 7.857143e-01, 5.714286e-01 1975, 6.428571e-01, 7.857143e-01, 5.714286e-01 1976, 7.142857e-01, 7.857143e-01, 5.714286e-01 1977, 7.857143e-01, 7.857143e-01, 5.714286e-01 1978, 8.571429e-01, 7.857143e-01, 5.714286e-01 1979, 9.285714e-01, 7.857143e-01, 5.714286e-01 1980, 1.000000e+00, 7.857143e-01, 5.714286e-01 1981, 0.000000e+00, 8.571429e-01, 5.714286e-01 1982, 7.142857e-02, 8.571429e-01, 5.714286e-01 1983, 1.428571e-01, 8.571429e-01, 5.714286e-01 1984, 2.142857e-01, 8.571429e-01, 5.714286e-01 1985, 2.857143e-01, 8.571429e-01, 5.714286e-01 1986, 3.571429e-01, 8.571429e-01, 5.714286e-01 1987, 4.285714e-01, 8.571429e-01, 5.714286e-01 1988, 5.000000e-01, 8.571429e-01, 5.714286e-01 1989, 5.714286e-01, 8.571429e-01, 5.714286e-01 1990, 6.428571e-01, 8.571429e-01, 5.714286e-01 1991, 7.142857e-01, 8.571429e-01, 5.714286e-01 1992, 7.857143e-01, 8.571429e-01, 5.714286e-01 1993, 8.571429e-01, 8.571429e-01, 5.714286e-01 1994, 9.285714e-01, 8.571429e-01, 5.714286e-01 1995, 1.000000e+00, 8.571429e-01, 5.714286e-01 1996, 0.000000e+00, 9.285714e-01, 5.714286e-01 1997, 7.142857e-02, 9.285714e-01, 5.714286e-01 1998, 1.428571e-01, 9.285714e-01, 5.714286e-01 1999, 2.142857e-01, 9.285714e-01, 5.714286e-01 2000, 2.857143e-01, 9.285714e-01, 5.714286e-01 2001, 3.571429e-01, 9.285714e-01, 5.714286e-01 2002, 4.285714e-01, 9.285714e-01, 5.714286e-01 2003, 5.000000e-01, 9.285714e-01, 5.714286e-01 2004, 5.714286e-01, 9.285714e-01, 5.714286e-01 2005, 6.428571e-01, 9.285714e-01, 5.714286e-01 2006, 7.142857e-01, 9.285714e-01, 5.714286e-01 2007, 7.857143e-01, 9.285714e-01, 5.714286e-01 2008, 8.571429e-01, 9.285714e-01, 5.714286e-01 2009, 9.285714e-01, 9.285714e-01, 5.714286e-01 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3.571429e-01, 7.142857e-01, 1.000000e+00 3307, 4.285714e-01, 7.142857e-01, 1.000000e+00 3308, 5.000000e-01, 7.142857e-01, 1.000000e+00 3309, 5.714286e-01, 7.142857e-01, 1.000000e+00 3310, 6.428571e-01, 7.142857e-01, 1.000000e+00 3311, 7.142857e-01, 7.142857e-01, 1.000000e+00 3312, 7.857143e-01, 7.142857e-01, 1.000000e+00 3313, 8.571429e-01, 7.142857e-01, 1.000000e+00 3314, 9.285714e-01, 7.142857e-01, 1.000000e+00 3315, 1.000000e+00, 7.142857e-01, 1.000000e+00 3316, 0.000000e+00, 7.857143e-01, 1.000000e+00 3317, 7.142857e-02, 7.857143e-01, 1.000000e+00 3318, 1.428571e-01, 7.857143e-01, 1.000000e+00 3319, 2.142857e-01, 7.857143e-01, 1.000000e+00 3320, 2.857143e-01, 7.857143e-01, 1.000000e+00 3321, 3.571429e-01, 7.857143e-01, 1.000000e+00 3322, 4.285714e-01, 7.857143e-01, 1.000000e+00 3323, 5.000000e-01, 7.857143e-01, 1.000000e+00 3324, 5.714286e-01, 7.857143e-01, 1.000000e+00 3325, 6.428571e-01, 7.857143e-01, 1.000000e+00 3326, 7.142857e-01, 7.857143e-01, 1.000000e+00 3327, 7.857143e-01, 7.857143e-01, 1.000000e+00 3328, 8.571429e-01, 7.857143e-01, 1.000000e+00 3329, 9.285714e-01, 7.857143e-01, 1.000000e+00 3330, 1.000000e+00, 7.857143e-01, 1.000000e+00 3331, 0.000000e+00, 8.571429e-01, 1.000000e+00 3332, 7.142857e-02, 8.571429e-01, 1.000000e+00 3333, 1.428571e-01, 8.571429e-01, 1.000000e+00 3334, 2.142857e-01, 8.571429e-01, 1.000000e+00 3335, 2.857143e-01, 8.571429e-01, 1.000000e+00 3336, 3.571429e-01, 8.571429e-01, 1.000000e+00 3337, 4.285714e-01, 8.571429e-01, 1.000000e+00 3338, 5.000000e-01, 8.571429e-01, 1.000000e+00 3339, 5.714286e-01, 8.571429e-01, 1.000000e+00 3340, 6.428571e-01, 8.571429e-01, 1.000000e+00 3341, 7.142857e-01, 8.571429e-01, 1.000000e+00 3342, 7.857143e-01, 8.571429e-01, 1.000000e+00 3343, 8.571429e-01, 8.571429e-01, 1.000000e+00 3344, 9.285714e-01, 8.571429e-01, 1.000000e+00 3345, 1.000000e+00, 8.571429e-01, 1.000000e+00 3346, 0.000000e+00, 9.285714e-01, 1.000000e+00 3347, 7.142857e-02, 9.285714e-01, 1.000000e+00 3348, 1.428571e-01, 9.285714e-01, 1.000000e+00 3349, 2.142857e-01, 9.285714e-01, 1.000000e+00 3350, 2.857143e-01, 9.285714e-01, 1.000000e+00 3351, 3.571429e-01, 9.285714e-01, 1.000000e+00 3352, 4.285714e-01, 9.285714e-01, 1.000000e+00 3353, 5.000000e-01, 9.285714e-01, 1.000000e+00 3354, 5.714286e-01, 9.285714e-01, 1.000000e+00 3355, 6.428571e-01, 9.285714e-01, 1.000000e+00 3356, 7.142857e-01, 9.285714e-01, 1.000000e+00 3357, 7.857143e-01, 9.285714e-01, 1.000000e+00 3358, 8.571429e-01, 9.285714e-01, 1.000000e+00 3359, 9.285714e-01, 9.285714e-01, 1.000000e+00 3360, 1.000000e+00, 9.285714e-01, 1.000000e+00 3361, 0.000000e+00, 1.000000e+00, 1.000000e+00 3362, 7.142857e-02, 1.000000e+00, 1.000000e+00 3363, 1.428571e-01, 1.000000e+00, 1.000000e+00 3364, 2.142857e-01, 1.000000e+00, 1.000000e+00 3365, 2.857143e-01, 1.000000e+00, 1.000000e+00 3366, 3.571429e-01, 1.000000e+00, 1.000000e+00 3367, 4.285714e-01, 1.000000e+00, 1.000000e+00 3368, 5.000000e-01, 1.000000e+00, 1.000000e+00 3369, 5.714286e-01, 1.000000e+00, 1.000000e+00 3370, 6.428571e-01, 1.000000e+00, 1.000000e+00 3371, 7.142857e-01, 1.000000e+00, 1.000000e+00 3372, 7.857143e-01, 1.000000e+00, 1.000000e+00 3373, 8.571429e-01, 1.000000e+00, 1.000000e+00 3374, 9.285714e-01, 1.000000e+00, 1.000000e+00 3375, 1.000000e+00, 1.000000e+00, 1.000000e+00 *Element, type=C3D8 1, 1, 2, 17, 16, 226, 227, 242, 241 2, 2, 3, 18, 17, 227, 228, 243, 242 3, 3, 4, 19, 18, 228, 229, 244, 243 4, 4, 5, 20, 19, 229, 230, 245, 244 5, 5, 6, 21, 20, 230, 231, 246, 245 6, 6, 7, 22, 21, 231, 232, 247, 246 7, 7, 8, 23, 22, 232, 233, 248, 247 8, 8, 9, 24, 23, 233, 234, 249, 248 9, 9, 10, 25, 24, 234, 235, 250, 249 10, 10, 11, 26, 25, 235, 236, 251, 250 11, 11, 12, 27, 26, 236, 237, 252, 251 12, 12, 13, 28, 27, 237, 238, 253, 252 13, 13, 14, 29, 28, 238, 239, 254, 253 14, 14, 15, 30, 29, 239, 240, 255, 254 15, 16, 17, 32, 31, 241, 242, 257, 256 16, 17, 18, 33, 32, 242, 243, 258, 257 17, 18, 19, 34, 33, 243, 244, 259, 258 18, 19, 20, 35, 34, 244, 245, 260, 259 19, 20, 21, 36, 35, 245, 246, 261, 260 20, 21, 22, 37, 36, 246, 247, 262, 261 21, 22, 23, 38, 37, 247, 248, 263, 262 22, 23, 24, 39, 38, 248, 249, 264, 263 23, 24, 25, 40, 39, 249, 250, 265, 264 24, 25, 26, 41, 40, 250, 251, 266, 265 25, 26, 27, 42, 41, 251, 252, 267, 266 26, 27, 28, 43, 42, 252, 253, 268, 267 27, 28, 29, 44, 43, 253, 254, 269, 268 28, 29, 30, 45, 44, 254, 255, 270, 269 29, 31, 32, 47, 46, 256, 257, 272, 271 30, 32, 33, 48, 47, 257, 258, 273, 272 31, 33, 34, 49, 48, 258, 259, 274, 273 32, 34, 35, 50, 49, 259, 260, 275, 274 33, 35, 36, 51, 50, 260, 261, 276, 275 34, 36, 37, 52, 51, 261, 262, 277, 276 35, 37, 38, 53, 52, 262, 263, 278, 277 36, 38, 39, 54, 53, 263, 264, 279, 278 37, 39, 40, 55, 54, 264, 265, 280, 279 38, 40, 41, 56, 55, 265, 266, 281, 280 39, 41, 42, 57, 56, 266, 267, 282, 281 40, 42, 43, 58, 57, 267, 268, 283, 282 41, 43, 44, 59, 58, 268, 269, 284, 283 42, 44, 45, 60, 59, 269, 270, 285, 284 43, 46, 47, 62, 61, 271, 272, 287, 286 44, 47, 48, 63, 62, 272, 273, 288, 287 45, 48, 49, 64, 63, 273, 274, 289, 288 46, 49, 50, 65, 64, 274, 275, 290, 289 47, 50, 51, 66, 65, 275, 276, 291, 290 48, 51, 52, 67, 66, 276, 277, 292, 291 49, 52, 53, 68, 67, 277, 278, 293, 292 50, 53, 54, 69, 68, 278, 279, 294, 293 51, 54, 55, 70, 69, 279, 280, 295, 294 52, 55, 56, 71, 70, 280, 281, 296, 295 53, 56, 57, 72, 71, 281, 282, 297, 296 54, 57, 58, 73, 72, 282, 283, 298, 297 55, 58, 59, 74, 73, 283, 284, 299, 298 56, 59, 60, 75, 74, 284, 285, 300, 299 57, 61, 62, 77, 76, 286, 287, 302, 301 58, 62, 63, 78, 77, 287, 288, 303, 302 59, 63, 64, 79, 78, 288, 289, 304, 303 60, 64, 65, 80, 79, 289, 290, 305, 304 61, 65, 66, 81, 80, 290, 291, 306, 305 62, 66, 67, 82, 81, 291, 292, 307, 306 63, 67, 68, 83, 82, 292, 293, 308, 307 64, 68, 69, 84, 83, 293, 294, 309, 308 65, 69, 70, 85, 84, 294, 295, 310, 309 66, 70, 71, 86, 85, 295, 296, 311, 310 67, 71, 72, 87, 86, 296, 297, 312, 311 68, 72, 73, 88, 87, 297, 298, 313, 312 69, 73, 74, 89, 88, 298, 299, 314, 313 70, 74, 75, 90, 89, 299, 300, 315, 314 71, 76, 77, 92, 91, 301, 302, 317, 316 72, 77, 78, 93, 92, 302, 303, 318, 317 73, 78, 79, 94, 93, 303, 304, 319, 318 74, 79, 80, 95, 94, 304, 305, 320, 319 75, 80, 81, 96, 95, 305, 306, 321, 320 76, 81, 82, 97, 96, 306, 307, 322, 321 77, 82, 83, 98, 97, 307, 308, 323, 322 78, 83, 84, 99, 98, 308, 309, 324, 323 79, 84, 85, 100, 99, 309, 310, 325, 324 80, 85, 86, 101, 100, 310, 311, 326, 325 81, 86, 87, 102, 101, 311, 312, 327, 326 82, 87, 88, 103, 102, 312, 313, 328, 327 83, 88, 89, 104, 103, 313, 314, 329, 328 84, 89, 90, 105, 104, 314, 315, 330, 329 85, 91, 92, 107, 106, 316, 317, 332, 331 86, 92, 93, 108, 107, 317, 318, 333, 332 87, 93, 94, 109, 108, 318, 319, 334, 333 88, 94, 95, 110, 109, 319, 320, 335, 334 89, 95, 96, 111, 110, 320, 321, 336, 335 90, 96, 97, 112, 111, 321, 322, 337, 336 91, 97, 98, 113, 112, 322, 323, 338, 337 92, 98, 99, 114, 113, 323, 324, 339, 338 93, 99, 100, 115, 114, 324, 325, 340, 339 94, 100, 101, 116, 115, 325, 326, 341, 340 95, 101, 102, 117, 116, 326, 327, 342, 341 96, 102, 103, 118, 117, 327, 328, 343, 342 97, 103, 104, 119, 118, 328, 329, 344, 343 98, 104, 105, 120, 119, 329, 330, 345, 344 99, 106, 107, 122, 121, 331, 332, 347, 346 100, 107, 108, 123, 122, 332, 333, 348, 347 101, 108, 109, 124, 123, 333, 334, 349, 348 102, 109, 110, 125, 124, 334, 335, 350, 349 103, 110, 111, 126, 125, 335, 336, 351, 350 104, 111, 112, 127, 126, 336, 337, 352, 351 105, 112, 113, 128, 127, 337, 338, 353, 352 106, 113, 114, 129, 128, 338, 339, 354, 353 107, 114, 115, 130, 129, 339, 340, 355, 354 108, 115, 116, 131, 130, 340, 341, 356, 355 109, 116, 117, 132, 131, 341, 342, 357, 356 110, 117, 118, 133, 132, 342, 343, 358, 357 111, 118, 119, 134, 133, 343, 344, 359, 358 112, 119, 120, 135, 134, 344, 345, 360, 359 113, 121, 122, 137, 136, 346, 347, 362, 361 114, 122, 123, 138, 137, 347, 348, 363, 362 115, 123, 124, 139, 138, 348, 349, 364, 363 116, 124, 125, 140, 139, 349, 350, 365, 364 117, 125, 126, 141, 140, 350, 351, 366, 365 118, 126, 127, 142, 141, 351, 352, 367, 366 119, 127, 128, 143, 142, 352, 353, 368, 367 120, 128, 129, 144, 143, 353, 354, 369, 368 121, 129, 130, 145, 144, 354, 355, 370, 369 122, 130, 131, 146, 145, 355, 356, 371, 370 123, 131, 132, 147, 146, 356, 357, 372, 371 124, 132, 133, 148, 147, 357, 358, 373, 372 125, 133, 134, 149, 148, 358, 359, 374, 373 126, 134, 135, 150, 149, 359, 360, 375, 374 127, 136, 137, 152, 151, 361, 362, 377, 376 128, 137, 138, 153, 152, 362, 363, 378, 377 129, 138, 139, 154, 153, 363, 364, 379, 378 130, 139, 140, 155, 154, 364, 365, 380, 379 131, 140, 141, 156, 155, 365, 366, 381, 380 132, 141, 142, 157, 156, 366, 367, 382, 381 133, 142, 143, 158, 157, 367, 368, 383, 382 134, 143, 144, 159, 158, 368, 369, 384, 383 135, 144, 145, 160, 159, 369, 370, 385, 384 136, 145, 146, 161, 160, 370, 371, 386, 385 137, 146, 147, 162, 161, 371, 372, 387, 386 138, 147, 148, 163, 162, 372, 373, 388, 387 139, 148, 149, 164, 163, 373, 374, 389, 388 140, 149, 150, 165, 164, 374, 375, 390, 389 141, 151, 152, 167, 166, 376, 377, 392, 391 142, 152, 153, 168, 167, 377, 378, 393, 392 143, 153, 154, 169, 168, 378, 379, 394, 393 144, 154, 155, 170, 169, 379, 380, 395, 394 145, 155, 156, 171, 170, 380, 381, 396, 395 146, 156, 157, 172, 171, 381, 382, 397, 396 147, 157, 158, 173, 172, 382, 383, 398, 397 148, 158, 159, 174, 173, 383, 384, 399, 398 149, 159, 160, 175, 174, 384, 385, 400, 399 150, 160, 161, 176, 175, 385, 386, 401, 400 151, 161, 162, 177, 176, 386, 387, 402, 401 152, 162, 163, 178, 177, 387, 388, 403, 402 153, 163, 164, 179, 178, 388, 389, 404, 403 154, 164, 165, 180, 179, 389, 390, 405, 404 155, 166, 167, 182, 181, 391, 392, 407, 406 156, 167, 168, 183, 182, 392, 393, 408, 407 157, 168, 169, 184, 183, 393, 394, 409, 408 158, 169, 170, 185, 184, 394, 395, 410, 409 159, 170, 171, 186, 185, 395, 396, 411, 410 160, 171, 172, 187, 186, 396, 397, 412, 411 161, 172, 173, 188, 187, 397, 398, 413, 412 162, 173, 174, 189, 188, 398, 399, 414, 413 163, 174, 175, 190, 189, 399, 400, 415, 414 164, 175, 176, 191, 190, 400, 401, 416, 415 165, 176, 177, 192, 191, 401, 402, 417, 416 166, 177, 178, 193, 192, 402, 403, 418, 417 167, 178, 179, 194, 193, 403, 404, 419, 418 168, 179, 180, 195, 194, 404, 405, 420, 419 169, 181, 182, 197, 196, 406, 407, 422, 421 170, 182, 183, 198, 197, 407, 408, 423, 422 171, 183, 184, 199, 198, 408, 409, 424, 423 172, 184, 185, 200, 199, 409, 410, 425, 424 173, 185, 186, 201, 200, 410, 411, 426, 425 174, 186, 187, 202, 201, 411, 412, 427, 426 175, 187, 188, 203, 202, 412, 413, 428, 427 176, 188, 189, 204, 203, 413, 414, 429, 428 177, 189, 190, 205, 204, 414, 415, 430, 429 178, 190, 191, 206, 205, 415, 416, 431, 430 179, 191, 192, 207, 206, 416, 417, 432, 431 180, 192, 193, 208, 207, 417, 418, 433, 432 181, 193, 194, 209, 208, 418, 419, 434, 433 182, 194, 195, 210, 209, 419, 420, 435, 434 183, 196, 197, 212, 211, 421, 422, 437, 436 184, 197, 198, 213, 212, 422, 423, 438, 437 185, 198, 199, 214, 213, 423, 424, 439, 438 186, 199, 200, 215, 214, 424, 425, 440, 439 187, 200, 201, 216, 215, 425, 426, 441, 440 188, 201, 202, 217, 216, 426, 427, 442, 441 189, 202, 203, 218, 217, 427, 428, 443, 442 190, 203, 204, 219, 218, 428, 429, 444, 443 191, 204, 205, 220, 219, 429, 430, 445, 444 192, 205, 206, 221, 220, 430, 431, 446, 445 193, 206, 207, 222, 221, 431, 432, 447, 446 194, 207, 208, 223, 222, 432, 433, 448, 447 195, 208, 209, 224, 223, 433, 434, 449, 448 196, 209, 210, 225, 224, 434, 435, 450, 449 197, 226, 227, 242, 241, 451, 452, 467, 466 198, 227, 228, 243, 242, 452, 453, 468, 467 199, 228, 229, 244, 243, 453, 454, 469, 468 200, 229, 230, 245, 244, 454, 455, 470, 469 201, 230, 231, 246, 245, 455, 456, 471, 470 202, 231, 232, 247, 246, 456, 457, 472, 471 203, 232, 233, 248, 247, 457, 458, 473, 472 204, 233, 234, 249, 248, 458, 459, 474, 473 205, 234, 235, 250, 249, 459, 460, 475, 474 206, 235, 236, 251, 250, 460, 461, 476, 475 207, 236, 237, 252, 251, 461, 462, 477, 476 208, 237, 238, 253, 252, 462, 463, 478, 477 209, 238, 239, 254, 253, 463, 464, 479, 478 210, 239, 240, 255, 254, 464, 465, 480, 479 211, 241, 242, 257, 256, 466, 467, 482, 481 212, 242, 243, 258, 257, 467, 468, 483, 482 213, 243, 244, 259, 258, 468, 469, 484, 483 214, 244, 245, 260, 259, 469, 470, 485, 484 215, 245, 246, 261, 260, 470, 471, 486, 485 216, 246, 247, 262, 261, 471, 472, 487, 486 217, 247, 248, 263, 262, 472, 473, 488, 487 218, 248, 249, 264, 263, 473, 474, 489, 488 219, 249, 250, 265, 264, 474, 475, 490, 489 220, 250, 251, 266, 265, 475, 476, 491, 490 221, 251, 252, 267, 266, 476, 477, 492, 491 222, 252, 253, 268, 267, 477, 478, 493, 492 223, 253, 254, 269, 268, 478, 479, 494, 493 224, 254, 255, 270, 269, 479, 480, 495, 494 225, 256, 257, 272, 271, 481, 482, 497, 496 226, 257, 258, 273, 272, 482, 483, 498, 497 227, 258, 259, 274, 273, 483, 484, 499, 498 228, 259, 260, 275, 274, 484, 485, 500, 499 229, 260, 261, 276, 275, 485, 486, 501, 500 230, 261, 262, 277, 276, 486, 487, 502, 501 231, 262, 263, 278, 277, 487, 488, 503, 502 232, 263, 264, 279, 278, 488, 489, 504, 503 233, 264, 265, 280, 279, 489, 490, 505, 504 234, 265, 266, 281, 280, 490, 491, 506, 505 235, 266, 267, 282, 281, 491, 492, 507, 506 236, 267, 268, 283, 282, 492, 493, 508, 507 237, 268, 269, 284, 283, 493, 494, 509, 508 238, 269, 270, 285, 284, 494, 495, 510, 509 239, 271, 272, 287, 286, 496, 497, 512, 511 240, 272, 273, 288, 287, 497, 498, 513, 512 241, 273, 274, 289, 288, 498, 499, 514, 513 242, 274, 275, 290, 289, 499, 500, 515, 514 243, 275, 276, 291, 290, 500, 501, 516, 515 244, 276, 277, 292, 291, 501, 502, 517, 516 245, 277, 278, 293, 292, 502, 503, 518, 517 246, 278, 279, 294, 293, 503, 504, 519, 518 247, 279, 280, 295, 294, 504, 505, 520, 519 248, 280, 281, 296, 295, 505, 506, 521, 520 249, 281, 282, 297, 296, 506, 507, 522, 521 250, 282, 283, 298, 297, 507, 508, 523, 522 251, 283, 284, 299, 298, 508, 509, 524, 523 252, 284, 285, 300, 299, 509, 510, 525, 524 253, 286, 287, 302, 301, 511, 512, 527, 526 254, 287, 288, 303, 302, 512, 513, 528, 527 255, 288, 289, 304, 303, 513, 514, 529, 528 256, 289, 290, 305, 304, 514, 515, 530, 529 257, 290, 291, 306, 305, 515, 516, 531, 530 258, 291, 292, 307, 306, 516, 517, 532, 531 259, 292, 293, 308, 307, 517, 518, 533, 532 260, 293, 294, 309, 308, 518, 519, 534, 533 261, 294, 295, 310, 309, 519, 520, 535, 534 262, 295, 296, 311, 310, 520, 521, 536, 535 263, 296, 297, 312, 311, 521, 522, 537, 536 264, 297, 298, 313, 312, 522, 523, 538, 537 265, 298, 299, 314, 313, 523, 524, 539, 538 266, 299, 300, 315, 314, 524, 525, 540, 539 267, 301, 302, 317, 316, 526, 527, 542, 541 268, 302, 303, 318, 317, 527, 528, 543, 542 269, 303, 304, 319, 318, 528, 529, 544, 543 270, 304, 305, 320, 319, 529, 530, 545, 544 271, 305, 306, 321, 320, 530, 531, 546, 545 272, 306, 307, 322, 321, 531, 532, 547, 546 273, 307, 308, 323, 322, 532, 533, 548, 547 274, 308, 309, 324, 323, 533, 534, 549, 548 275, 309, 310, 325, 324, 534, 535, 550, 549 276, 310, 311, 326, 325, 535, 536, 551, 550 277, 311, 312, 327, 326, 536, 537, 552, 551 278, 312, 313, 328, 327, 537, 538, 553, 552 279, 313, 314, 329, 328, 538, 539, 554, 553 280, 314, 315, 330, 329, 539, 540, 555, 554 281, 316, 317, 332, 331, 541, 542, 557, 556 282, 317, 318, 333, 332, 542, 543, 558, 557 283, 318, 319, 334, 333, 543, 544, 559, 558 284, 319, 320, 335, 334, 544, 545, 560, 559 285, 320, 321, 336, 335, 545, 546, 561, 560 286, 321, 322, 337, 336, 546, 547, 562, 561 287, 322, 323, 338, 337, 547, 548, 563, 562 288, 323, 324, 339, 338, 548, 549, 564, 563 289, 324, 325, 340, 339, 549, 550, 565, 564 290, 325, 326, 341, 340, 550, 551, 566, 565 291, 326, 327, 342, 341, 551, 552, 567, 566 292, 327, 328, 343, 342, 552, 553, 568, 567 293, 328, 329, 344, 343, 553, 554, 569, 568 294, 329, 330, 345, 344, 554, 555, 570, 569 295, 331, 332, 347, 346, 556, 557, 572, 571 296, 332, 333, 348, 347, 557, 558, 573, 572 297, 333, 334, 349, 348, 558, 559, 574, 573 298, 334, 335, 350, 349, 559, 560, 575, 574 299, 335, 336, 351, 350, 560, 561, 576, 575 300, 336, 337, 352, 351, 561, 562, 577, 576 301, 337, 338, 353, 352, 562, 563, 578, 577 302, 338, 339, 354, 353, 563, 564, 579, 578 303, 339, 340, 355, 354, 564, 565, 580, 579 304, 340, 341, 356, 355, 565, 566, 581, 580 305, 341, 342, 357, 356, 566, 567, 582, 581 306, 342, 343, 358, 357, 567, 568, 583, 582 307, 343, 344, 359, 358, 568, 569, 584, 583 308, 344, 345, 360, 359, 569, 570, 585, 584 309, 346, 347, 362, 361, 571, 572, 587, 586 310, 347, 348, 363, 362, 572, 573, 588, 587 311, 348, 349, 364, 363, 573, 574, 589, 588 312, 349, 350, 365, 364, 574, 575, 590, 589 313, 350, 351, 366, 365, 575, 576, 591, 590 314, 351, 352, 367, 366, 576, 577, 592, 591 315, 352, 353, 368, 367, 577, 578, 593, 592 316, 353, 354, 369, 368, 578, 579, 594, 593 317, 354, 355, 370, 369, 579, 580, 595, 594 318, 355, 356, 371, 370, 580, 581, 596, 595 319, 356, 357, 372, 371, 581, 582, 597, 596 320, 357, 358, 373, 372, 582, 583, 598, 597 321, 358, 359, 374, 373, 583, 584, 599, 598 322, 359, 360, 375, 374, 584, 585, 600, 599 323, 361, 362, 377, 376, 586, 587, 602, 601 324, 362, 363, 378, 377, 587, 588, 603, 602 325, 363, 364, 379, 378, 588, 589, 604, 603 326, 364, 365, 380, 379, 589, 590, 605, 604 327, 365, 366, 381, 380, 590, 591, 606, 605 328, 366, 367, 382, 381, 591, 592, 607, 606 329, 367, 368, 383, 382, 592, 593, 608, 607 330, 368, 369, 384, 383, 593, 594, 609, 608 331, 369, 370, 385, 384, 594, 595, 610, 609 332, 370, 371, 386, 385, 595, 596, 611, 610 333, 371, 372, 387, 386, 596, 597, 612, 611 334, 372, 373, 388, 387, 597, 598, 613, 612 335, 373, 374, 389, 388, 598, 599, 614, 613 336, 374, 375, 390, 389, 599, 600, 615, 614 337, 376, 377, 392, 391, 601, 602, 617, 616 338, 377, 378, 393, 392, 602, 603, 618, 617 339, 378, 379, 394, 393, 603, 604, 619, 618 340, 379, 380, 395, 394, 604, 605, 620, 619 341, 380, 381, 396, 395, 605, 606, 621, 620 342, 381, 382, 397, 396, 606, 607, 622, 621 343, 382, 383, 398, 397, 607, 608, 623, 622 344, 383, 384, 399, 398, 608, 609, 624, 623 345, 384, 385, 400, 399, 609, 610, 625, 624 346, 385, 386, 401, 400, 610, 611, 626, 625 347, 386, 387, 402, 401, 611, 612, 627, 626 348, 387, 388, 403, 402, 612, 613, 628, 627 349, 388, 389, 404, 403, 613, 614, 629, 628 350, 389, 390, 405, 404, 614, 615, 630, 629 351, 391, 392, 407, 406, 616, 617, 632, 631 352, 392, 393, 408, 407, 617, 618, 633, 632 353, 393, 394, 409, 408, 618, 619, 634, 633 354, 394, 395, 410, 409, 619, 620, 635, 634 355, 395, 396, 411, 410, 620, 621, 636, 635 356, 396, 397, 412, 411, 621, 622, 637, 636 357, 397, 398, 413, 412, 622, 623, 638, 637 358, 398, 399, 414, 413, 623, 624, 639, 638 359, 399, 400, 415, 414, 624, 625, 640, 639 360, 400, 401, 416, 415, 625, 626, 641, 640 361, 401, 402, 417, 416, 626, 627, 642, 641 362, 402, 403, 418, 417, 627, 628, 643, 642 363, 403, 404, 419, 418, 628, 629, 644, 643 364, 404, 405, 420, 419, 629, 630, 645, 644 365, 406, 407, 422, 421, 631, 632, 647, 646 366, 407, 408, 423, 422, 632, 633, 648, 647 367, 408, 409, 424, 423, 633, 634, 649, 648 368, 409, 410, 425, 424, 634, 635, 650, 649 369, 410, 411, 426, 425, 635, 636, 651, 650 370, 411, 412, 427, 426, 636, 637, 652, 651 371, 412, 413, 428, 427, 637, 638, 653, 652 372, 413, 414, 429, 428, 638, 639, 654, 653 373, 414, 415, 430, 429, 639, 640, 655, 654 374, 415, 416, 431, 430, 640, 641, 656, 655 375, 416, 417, 432, 431, 641, 642, 657, 656 376, 417, 418, 433, 432, 642, 643, 658, 657 377, 418, 419, 434, 433, 643, 644, 659, 658 378, 419, 420, 435, 434, 644, 645, 660, 659 379, 421, 422, 437, 436, 646, 647, 662, 661 380, 422, 423, 438, 437, 647, 648, 663, 662 381, 423, 424, 439, 438, 648, 649, 664, 663 382, 424, 425, 440, 439, 649, 650, 665, 664 383, 425, 426, 441, 440, 650, 651, 666, 665 384, 426, 427, 442, 441, 651, 652, 667, 666 385, 427, 428, 443, 442, 652, 653, 668, 667 386, 428, 429, 444, 443, 653, 654, 669, 668 387, 429, 430, 445, 444, 654, 655, 670, 669 388, 430, 431, 446, 445, 655, 656, 671, 670 389, 431, 432, 447, 446, 656, 657, 672, 671 390, 432, 433, 448, 447, 657, 658, 673, 672 391, 433, 434, 449, 448, 658, 659, 674, 673 392, 434, 435, 450, 449, 659, 660, 675, 674 393, 451, 452, 467, 466, 676, 677, 692, 691 394, 452, 453, 468, 467, 677, 678, 693, 692 395, 453, 454, 469, 468, 678, 679, 694, 693 396, 454, 455, 470, 469, 679, 680, 695, 694 397, 455, 456, 471, 470, 680, 681, 696, 695 398, 456, 457, 472, 471, 681, 682, 697, 696 399, 457, 458, 473, 472, 682, 683, 698, 697 400, 458, 459, 474, 473, 683, 684, 699, 698 401, 459, 460, 475, 474, 684, 685, 700, 699 402, 460, 461, 476, 475, 685, 686, 701, 700 403, 461, 462, 477, 476, 686, 687, 702, 701 404, 462, 463, 478, 477, 687, 688, 703, 702 405, 463, 464, 479, 478, 688, 689, 704, 703 406, 464, 465, 480, 479, 689, 690, 705, 704 407, 466, 467, 482, 481, 691, 692, 707, 706 408, 467, 468, 483, 482, 692, 693, 708, 707 409, 468, 469, 484, 483, 693, 694, 709, 708 410, 469, 470, 485, 484, 694, 695, 710, 709 411, 470, 471, 486, 485, 695, 696, 711, 710 412, 471, 472, 487, 486, 696, 697, 712, 711 413, 472, 473, 488, 487, 697, 698, 713, 712 414, 473, 474, 489, 488, 698, 699, 714, 713 415, 474, 475, 490, 489, 699, 700, 715, 714 416, 475, 476, 491, 490, 700, 701, 716, 715 417, 476, 477, 492, 491, 701, 702, 717, 716 418, 477, 478, 493, 492, 702, 703, 718, 717 419, 478, 479, 494, 493, 703, 704, 719, 718 420, 479, 480, 495, 494, 704, 705, 720, 719 421, 481, 482, 497, 496, 706, 707, 722, 721 422, 482, 483, 498, 497, 707, 708, 723, 722 423, 483, 484, 499, 498, 708, 709, 724, 723 424, 484, 485, 500, 499, 709, 710, 725, 724 425, 485, 486, 501, 500, 710, 711, 726, 725 426, 486, 487, 502, 501, 711, 712, 727, 726 427, 487, 488, 503, 502, 712, 713, 728, 727 428, 488, 489, 504, 503, 713, 714, 729, 728 429, 489, 490, 505, 504, 714, 715, 730, 729 430, 490, 491, 506, 505, 715, 716, 731, 730 431, 491, 492, 507, 506, 716, 717, 732, 731 432, 492, 493, 508, 507, 717, 718, 733, 732 433, 493, 494, 509, 508, 718, 719, 734, 733 434, 494, 495, 510, 509, 719, 720, 735, 734 435, 496, 497, 512, 511, 721, 722, 737, 736 436, 497, 498, 513, 512, 722, 723, 738, 737 437, 498, 499, 514, 513, 723, 724, 739, 738 438, 499, 500, 515, 514, 724, 725, 740, 739 439, 500, 501, 516, 515, 725, 726, 741, 740 440, 501, 502, 517, 516, 726, 727, 742, 741 441, 502, 503, 518, 517, 727, 728, 743, 742 442, 503, 504, 519, 518, 728, 729, 744, 743 443, 504, 505, 520, 519, 729, 730, 745, 744 444, 505, 506, 521, 520, 730, 731, 746, 745 445, 506, 507, 522, 521, 731, 732, 747, 746 446, 507, 508, 523, 522, 732, 733, 748, 747 447, 508, 509, 524, 523, 733, 734, 749, 748 448, 509, 510, 525, 524, 734, 735, 750, 749 449, 511, 512, 527, 526, 736, 737, 752, 751 450, 512, 513, 528, 527, 737, 738, 753, 752 451, 513, 514, 529, 528, 738, 739, 754, 753 452, 514, 515, 530, 529, 739, 740, 755, 754 453, 515, 516, 531, 530, 740, 741, 756, 755 454, 516, 517, 532, 531, 741, 742, 757, 756 455, 517, 518, 533, 532, 742, 743, 758, 757 456, 518, 519, 534, 533, 743, 744, 759, 758 457, 519, 520, 535, 534, 744, 745, 760, 759 458, 520, 521, 536, 535, 745, 746, 761, 760 459, 521, 522, 537, 536, 746, 747, 762, 761 460, 522, 523, 538, 537, 747, 748, 763, 762 461, 523, 524, 539, 538, 748, 749, 764, 763 462, 524, 525, 540, 539, 749, 750, 765, 764 463, 526, 527, 542, 541, 751, 752, 767, 766 464, 527, 528, 543, 542, 752, 753, 768, 767 465, 528, 529, 544, 543, 753, 754, 769, 768 466, 529, 530, 545, 544, 754, 755, 770, 769 467, 530, 531, 546, 545, 755, 756, 771, 770 468, 531, 532, 547, 546, 756, 757, 772, 771 469, 532, 533, 548, 547, 757, 758, 773, 772 470, 533, 534, 549, 548, 758, 759, 774, 773 471, 534, 535, 550, 549, 759, 760, 775, 774 472, 535, 536, 551, 550, 760, 761, 776, 775 473, 536, 537, 552, 551, 761, 762, 777, 776 474, 537, 538, 553, 552, 762, 763, 778, 777 475, 538, 539, 554, 553, 763, 764, 779, 778 476, 539, 540, 555, 554, 764, 765, 780, 779 477, 541, 542, 557, 556, 766, 767, 782, 781 478, 542, 543, 558, 557, 767, 768, 783, 782 479, 543, 544, 559, 558, 768, 769, 784, 783 480, 544, 545, 560, 559, 769, 770, 785, 784 481, 545, 546, 561, 560, 770, 771, 786, 785 482, 546, 547, 562, 561, 771, 772, 787, 786 483, 547, 548, 563, 562, 772, 773, 788, 787 484, 548, 549, 564, 563, 773, 774, 789, 788 485, 549, 550, 565, 564, 774, 775, 790, 789 486, 550, 551, 566, 565, 775, 776, 791, 790 487, 551, 552, 567, 566, 776, 777, 792, 791 488, 552, 553, 568, 567, 777, 778, 793, 792 489, 553, 554, 569, 568, 778, 779, 794, 793 490, 554, 555, 570, 569, 779, 780, 795, 794 491, 556, 557, 572, 571, 781, 782, 797, 796 492, 557, 558, 573, 572, 782, 783, 798, 797 493, 558, 559, 574, 573, 783, 784, 799, 798 494, 559, 560, 575, 574, 784, 785, 800, 799 495, 560, 561, 576, 575, 785, 786, 801, 800 496, 561, 562, 577, 576, 786, 787, 802, 801 497, 562, 563, 578, 577, 787, 788, 803, 802 498, 563, 564, 579, 578, 788, 789, 804, 803 499, 564, 565, 580, 579, 789, 790, 805, 804 500, 565, 566, 581, 580, 790, 791, 806, 805 501, 566, 567, 582, 581, 791, 792, 807, 806 502, 567, 568, 583, 582, 792, 793, 808, 807 503, 568, 569, 584, 583, 793, 794, 809, 808 504, 569, 570, 585, 584, 794, 795, 810, 809 505, 571, 572, 587, 586, 796, 797, 812, 811 506, 572, 573, 588, 587, 797, 798, 813, 812 507, 573, 574, 589, 588, 798, 799, 814, 813 508, 574, 575, 590, 589, 799, 800, 815, 814 509, 575, 576, 591, 590, 800, 801, 816, 815 510, 576, 577, 592, 591, 801, 802, 817, 816 511, 577, 578, 593, 592, 802, 803, 818, 817 512, 578, 579, 594, 593, 803, 804, 819, 818 513, 579, 580, 595, 594, 804, 805, 820, 819 514, 580, 581, 596, 595, 805, 806, 821, 820 515, 581, 582, 597, 596, 806, 807, 822, 821 516, 582, 583, 598, 597, 807, 808, 823, 822 517, 583, 584, 599, 598, 808, 809, 824, 823 518, 584, 585, 600, 599, 809, 810, 825, 824 519, 586, 587, 602, 601, 811, 812, 827, 826 520, 587, 588, 603, 602, 812, 813, 828, 827 521, 588, 589, 604, 603, 813, 814, 829, 828 522, 589, 590, 605, 604, 814, 815, 830, 829 523, 590, 591, 606, 605, 815, 816, 831, 830 524, 591, 592, 607, 606, 816, 817, 832, 831 525, 592, 593, 608, 607, 817, 818, 833, 832 526, 593, 594, 609, 608, 818, 819, 834, 833 527, 594, 595, 610, 609, 819, 820, 835, 834 528, 595, 596, 611, 610, 820, 821, 836, 835 529, 596, 597, 612, 611, 821, 822, 837, 836 530, 597, 598, 613, 612, 822, 823, 838, 837 531, 598, 599, 614, 613, 823, 824, 839, 838 532, 599, 600, 615, 614, 824, 825, 840, 839 533, 601, 602, 617, 616, 826, 827, 842, 841 534, 602, 603, 618, 617, 827, 828, 843, 842 535, 603, 604, 619, 618, 828, 829, 844, 843 536, 604, 605, 620, 619, 829, 830, 845, 844 537, 605, 606, 621, 620, 830, 831, 846, 845 538, 606, 607, 622, 621, 831, 832, 847, 846 539, 607, 608, 623, 622, 832, 833, 848, 847 540, 608, 609, 624, 623, 833, 834, 849, 848 541, 609, 610, 625, 624, 834, 835, 850, 849 542, 610, 611, 626, 625, 835, 836, 851, 850 543, 611, 612, 627, 626, 836, 837, 852, 851 544, 612, 613, 628, 627, 837, 838, 853, 852 545, 613, 614, 629, 628, 838, 839, 854, 853 546, 614, 615, 630, 629, 839, 840, 855, 854 547, 616, 617, 632, 631, 841, 842, 857, 856 548, 617, 618, 633, 632, 842, 843, 858, 857 549, 618, 619, 634, 633, 843, 844, 859, 858 550, 619, 620, 635, 634, 844, 845, 860, 859 551, 620, 621, 636, 635, 845, 846, 861, 860 552, 621, 622, 637, 636, 846, 847, 862, 861 553, 622, 623, 638, 637, 847, 848, 863, 862 554, 623, 624, 639, 638, 848, 849, 864, 863 555, 624, 625, 640, 639, 849, 850, 865, 864 556, 625, 626, 641, 640, 850, 851, 866, 865 557, 626, 627, 642, 641, 851, 852, 867, 866 558, 627, 628, 643, 642, 852, 853, 868, 867 559, 628, 629, 644, 643, 853, 854, 869, 868 560, 629, 630, 645, 644, 854, 855, 870, 869 561, 631, 632, 647, 646, 856, 857, 872, 871 562, 632, 633, 648, 647, 857, 858, 873, 872 563, 633, 634, 649, 648, 858, 859, 874, 873 564, 634, 635, 650, 649, 859, 860, 875, 874 565, 635, 636, 651, 650, 860, 861, 876, 875 566, 636, 637, 652, 651, 861, 862, 877, 876 567, 637, 638, 653, 652, 862, 863, 878, 877 568, 638, 639, 654, 653, 863, 864, 879, 878 569, 639, 640, 655, 654, 864, 865, 880, 879 570, 640, 641, 656, 655, 865, 866, 881, 880 571, 641, 642, 657, 656, 866, 867, 882, 881 572, 642, 643, 658, 657, 867, 868, 883, 882 573, 643, 644, 659, 658, 868, 869, 884, 883 574, 644, 645, 660, 659, 869, 870, 885, 884 575, 646, 647, 662, 661, 871, 872, 887, 886 576, 647, 648, 663, 662, 872, 873, 888, 887 577, 648, 649, 664, 663, 873, 874, 889, 888 578, 649, 650, 665, 664, 874, 875, 890, 889 579, 650, 651, 666, 665, 875, 876, 891, 890 580, 651, 652, 667, 666, 876, 877, 892, 891 581, 652, 653, 668, 667, 877, 878, 893, 892 582, 653, 654, 669, 668, 878, 879, 894, 893 583, 654, 655, 670, 669, 879, 880, 895, 894 584, 655, 656, 671, 670, 880, 881, 896, 895 585, 656, 657, 672, 671, 881, 882, 897, 896 586, 657, 658, 673, 672, 882, 883, 898, 897 587, 658, 659, 674, 673, 883, 884, 899, 898 588, 659, 660, 675, 674, 884, 885, 900, 899 589, 676, 677, 692, 691, 901, 902, 917, 916 590, 677, 678, 693, 692, 902, 903, 918, 917 591, 678, 679, 694, 693, 903, 904, 919, 918 592, 679, 680, 695, 694, 904, 905, 920, 919 593, 680, 681, 696, 695, 905, 906, 921, 920 594, 681, 682, 697, 696, 906, 907, 922, 921 595, 682, 683, 698, 697, 907, 908, 923, 922 596, 683, 684, 699, 698, 908, 909, 924, 923 597, 684, 685, 700, 699, 909, 910, 925, 924 598, 685, 686, 701, 700, 910, 911, 926, 925 599, 686, 687, 702, 701, 911, 912, 927, 926 600, 687, 688, 703, 702, 912, 913, 928, 927 601, 688, 689, 704, 703, 913, 914, 929, 928 602, 689, 690, 705, 704, 914, 915, 930, 929 603, 691, 692, 707, 706, 916, 917, 932, 931 604, 692, 693, 708, 707, 917, 918, 933, 932 605, 693, 694, 709, 708, 918, 919, 934, 933 606, 694, 695, 710, 709, 919, 920, 935, 934 607, 695, 696, 711, 710, 920, 921, 936, 935 608, 696, 697, 712, 711, 921, 922, 937, 936 609, 697, 698, 713, 712, 922, 923, 938, 937 610, 698, 699, 714, 713, 923, 924, 939, 938 611, 699, 700, 715, 714, 924, 925, 940, 939 612, 700, 701, 716, 715, 925, 926, 941, 940 613, 701, 702, 717, 716, 926, 927, 942, 941 614, 702, 703, 718, 717, 927, 928, 943, 942 615, 703, 704, 719, 718, 928, 929, 944, 943 616, 704, 705, 720, 719, 929, 930, 945, 944 617, 706, 707, 722, 721, 931, 932, 947, 946 618, 707, 708, 723, 722, 932, 933, 948, 947 619, 708, 709, 724, 723, 933, 934, 949, 948 620, 709, 710, 725, 724, 934, 935, 950, 949 621, 710, 711, 726, 725, 935, 936, 951, 950 622, 711, 712, 727, 726, 936, 937, 952, 951 623, 712, 713, 728, 727, 937, 938, 953, 952 624, 713, 714, 729, 728, 938, 939, 954, 953 625, 714, 715, 730, 729, 939, 940, 955, 954 626, 715, 716, 731, 730, 940, 941, 956, 955 627, 716, 717, 732, 731, 941, 942, 957, 956 628, 717, 718, 733, 732, 942, 943, 958, 957 629, 718, 719, 734, 733, 943, 944, 959, 958 630, 719, 720, 735, 734, 944, 945, 960, 959 631, 721, 722, 737, 736, 946, 947, 962, 961 632, 722, 723, 738, 737, 947, 948, 963, 962 633, 723, 724, 739, 738, 948, 949, 964, 963 634, 724, 725, 740, 739, 949, 950, 965, 964 635, 725, 726, 741, 740, 950, 951, 966, 965 636, 726, 727, 742, 741, 951, 952, 967, 966 637, 727, 728, 743, 742, 952, 953, 968, 967 638, 728, 729, 744, 743, 953, 954, 969, 968 639, 729, 730, 745, 744, 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1048, 1258, 1259, 1274, 1273 910, 1034, 1035, 1050, 1049, 1259, 1260, 1275, 1274 911, 1036, 1037, 1052, 1051, 1261, 1262, 1277, 1276 912, 1037, 1038, 1053, 1052, 1262, 1263, 1278, 1277 913, 1038, 1039, 1054, 1053, 1263, 1264, 1279, 1278 914, 1039, 1040, 1055, 1054, 1264, 1265, 1280, 1279 915, 1040, 1041, 1056, 1055, 1265, 1266, 1281, 1280 916, 1041, 1042, 1057, 1056, 1266, 1267, 1282, 1281 917, 1042, 1043, 1058, 1057, 1267, 1268, 1283, 1282 918, 1043, 1044, 1059, 1058, 1268, 1269, 1284, 1283 919, 1044, 1045, 1060, 1059, 1269, 1270, 1285, 1284 920, 1045, 1046, 1061, 1060, 1270, 1271, 1286, 1285 921, 1046, 1047, 1062, 1061, 1271, 1272, 1287, 1286 922, 1047, 1048, 1063, 1062, 1272, 1273, 1288, 1287 923, 1048, 1049, 1064, 1063, 1273, 1274, 1289, 1288 924, 1049, 1050, 1065, 1064, 1274, 1275, 1290, 1289 925, 1051, 1052, 1067, 1066, 1276, 1277, 1292, 1291 926, 1052, 1053, 1068, 1067, 1277, 1278, 1293, 1292 927, 1053, 1054, 1069, 1068, 1278, 1279, 1294, 1293 928, 1054, 1055, 1070, 1069, 1279, 1280, 1295, 1294 929, 1055, 1056, 1071, 1070, 1280, 1281, 1296, 1295 930, 1056, 1057, 1072, 1071, 1281, 1282, 1297, 1296 931, 1057, 1058, 1073, 1072, 1282, 1283, 1298, 1297 932, 1058, 1059, 1074, 1073, 1283, 1284, 1299, 1298 933, 1059, 1060, 1075, 1074, 1284, 1285, 1300, 1299 934, 1060, 1061, 1076, 1075, 1285, 1286, 1301, 1300 935, 1061, 1062, 1077, 1076, 1286, 1287, 1302, 1301 936, 1062, 1063, 1078, 1077, 1287, 1288, 1303, 1302 937, 1063, 1064, 1079, 1078, 1288, 1289, 1304, 1303 938, 1064, 1065, 1080, 1079, 1289, 1290, 1305, 1304 939, 1066, 1067, 1082, 1081, 1291, 1292, 1307, 1306 940, 1067, 1068, 1083, 1082, 1292, 1293, 1308, 1307 941, 1068, 1069, 1084, 1083, 1293, 1294, 1309, 1308 942, 1069, 1070, 1085, 1084, 1294, 1295, 1310, 1309 943, 1070, 1071, 1086, 1085, 1295, 1296, 1311, 1310 944, 1071, 1072, 1087, 1086, 1296, 1297, 1312, 1311 945, 1072, 1073, 1088, 1087, 1297, 1298, 1313, 1312 946, 1073, 1074, 1089, 1088, 1298, 1299, 1314, 1313 947, 1074, 1075, 1090, 1089, 1299, 1300, 1315, 1314 948, 1075, 1076, 1091, 1090, 1300, 1301, 1316, 1315 949, 1076, 1077, 1092, 1091, 1301, 1302, 1317, 1316 950, 1077, 1078, 1093, 1092, 1302, 1303, 1318, 1317 951, 1078, 1079, 1094, 1093, 1303, 1304, 1319, 1318 952, 1079, 1080, 1095, 1094, 1304, 1305, 1320, 1319 953, 1081, 1082, 1097, 1096, 1306, 1307, 1322, 1321 954, 1082, 1083, 1098, 1097, 1307, 1308, 1323, 1322 955, 1083, 1084, 1099, 1098, 1308, 1309, 1324, 1323 956, 1084, 1085, 1100, 1099, 1309, 1310, 1325, 1324 957, 1085, 1086, 1101, 1100, 1310, 1311, 1326, 1325 958, 1086, 1087, 1102, 1101, 1311, 1312, 1327, 1326 959, 1087, 1088, 1103, 1102, 1312, 1313, 1328, 1327 960, 1088, 1089, 1104, 1103, 1313, 1314, 1329, 1328 961, 1089, 1090, 1105, 1104, 1314, 1315, 1330, 1329 962, 1090, 1091, 1106, 1105, 1315, 1316, 1331, 1330 963, 1091, 1092, 1107, 1106, 1316, 1317, 1332, 1331 964, 1092, 1093, 1108, 1107, 1317, 1318, 1333, 1332 965, 1093, 1094, 1109, 1108, 1318, 1319, 1334, 1333 966, 1094, 1095, 1110, 1109, 1319, 1320, 1335, 1334 967, 1096, 1097, 1112, 1111, 1321, 1322, 1337, 1336 968, 1097, 1098, 1113, 1112, 1322, 1323, 1338, 1337 969, 1098, 1099, 1114, 1113, 1323, 1324, 1339, 1338 970, 1099, 1100, 1115, 1114, 1324, 1325, 1340, 1339 971, 1100, 1101, 1116, 1115, 1325, 1326, 1341, 1340 972, 1101, 1102, 1117, 1116, 1326, 1327, 1342, 1341 973, 1102, 1103, 1118, 1117, 1327, 1328, 1343, 1342 974, 1103, 1104, 1119, 1118, 1328, 1329, 1344, 1343 975, 1104, 1105, 1120, 1119, 1329, 1330, 1345, 1344 976, 1105, 1106, 1121, 1120, 1330, 1331, 1346, 1345 977, 1106, 1107, 1122, 1121, 1331, 1332, 1347, 1346 978, 1107, 1108, 1123, 1122, 1332, 1333, 1348, 1347 979, 1108, 1109, 1124, 1123, 1333, 1334, 1349, 1348 980, 1109, 1110, 1125, 1124, 1334, 1335, 1350, 1349 981, 1126, 1127, 1142, 1141, 1351, 1352, 1367, 1366 982, 1127, 1128, 1143, 1142, 1352, 1353, 1368, 1367 983, 1128, 1129, 1144, 1143, 1353, 1354, 1369, 1368 984, 1129, 1130, 1145, 1144, 1354, 1355, 1370, 1369 985, 1130, 1131, 1146, 1145, 1355, 1356, 1371, 1370 986, 1131, 1132, 1147, 1146, 1356, 1357, 1372, 1371 987, 1132, 1133, 1148, 1147, 1357, 1358, 1373, 1372 988, 1133, 1134, 1149, 1148, 1358, 1359, 1374, 1373 989, 1134, 1135, 1150, 1149, 1359, 1360, 1375, 1374 990, 1135, 1136, 1151, 1150, 1360, 1361, 1376, 1375 991, 1136, 1137, 1152, 1151, 1361, 1362, 1377, 1376 992, 1137, 1138, 1153, 1152, 1362, 1363, 1378, 1377 993, 1138, 1139, 1154, 1153, 1363, 1364, 1379, 1378 994, 1139, 1140, 1155, 1154, 1364, 1365, 1380, 1379 995, 1141, 1142, 1157, 1156, 1366, 1367, 1382, 1381 996, 1142, 1143, 1158, 1157, 1367, 1368, 1383, 1382 997, 1143, 1144, 1159, 1158, 1368, 1369, 1384, 1383 998, 1144, 1145, 1160, 1159, 1369, 1370, 1385, 1384 999, 1145, 1146, 1161, 1160, 1370, 1371, 1386, 1385 1000, 1146, 1147, 1162, 1161, 1371, 1372, 1387, 1386 1001, 1147, 1148, 1163, 1162, 1372, 1373, 1388, 1387 1002, 1148, 1149, 1164, 1163, 1373, 1374, 1389, 1388 1003, 1149, 1150, 1165, 1164, 1374, 1375, 1390, 1389 1004, 1150, 1151, 1166, 1165, 1375, 1376, 1391, 1390 1005, 1151, 1152, 1167, 1166, 1376, 1377, 1392, 1391 1006, 1152, 1153, 1168, 1167, 1377, 1378, 1393, 1392 1007, 1153, 1154, 1169, 1168, 1378, 1379, 1394, 1393 1008, 1154, 1155, 1170, 1169, 1379, 1380, 1395, 1394 1009, 1156, 1157, 1172, 1171, 1381, 1382, 1397, 1396 1010, 1157, 1158, 1173, 1172, 1382, 1383, 1398, 1397 1011, 1158, 1159, 1174, 1173, 1383, 1384, 1399, 1398 1012, 1159, 1160, 1175, 1174, 1384, 1385, 1400, 1399 1013, 1160, 1161, 1176, 1175, 1385, 1386, 1401, 1400 1014, 1161, 1162, 1177, 1176, 1386, 1387, 1402, 1401 1015, 1162, 1163, 1178, 1177, 1387, 1388, 1403, 1402 1016, 1163, 1164, 1179, 1178, 1388, 1389, 1404, 1403 1017, 1164, 1165, 1180, 1179, 1389, 1390, 1405, 1404 1018, 1165, 1166, 1181, 1180, 1390, 1391, 1406, 1405 1019, 1166, 1167, 1182, 1181, 1391, 1392, 1407, 1406 1020, 1167, 1168, 1183, 1182, 1392, 1393, 1408, 1407 1021, 1168, 1169, 1184, 1183, 1393, 1394, 1409, 1408 1022, 1169, 1170, 1185, 1184, 1394, 1395, 1410, 1409 1023, 1171, 1172, 1187, 1186, 1396, 1397, 1412, 1411 1024, 1172, 1173, 1188, 1187, 1397, 1398, 1413, 1412 1025, 1173, 1174, 1189, 1188, 1398, 1399, 1414, 1413 1026, 1174, 1175, 1190, 1189, 1399, 1400, 1415, 1414 1027, 1175, 1176, 1191, 1190, 1400, 1401, 1416, 1415 1028, 1176, 1177, 1192, 1191, 1401, 1402, 1417, 1416 1029, 1177, 1178, 1193, 1192, 1402, 1403, 1418, 1417 1030, 1178, 1179, 1194, 1193, 1403, 1404, 1419, 1418 1031, 1179, 1180, 1195, 1194, 1404, 1405, 1420, 1419 1032, 1180, 1181, 1196, 1195, 1405, 1406, 1421, 1420 1033, 1181, 1182, 1197, 1196, 1406, 1407, 1422, 1421 1034, 1182, 1183, 1198, 1197, 1407, 1408, 1423, 1422 1035, 1183, 1184, 1199, 1198, 1408, 1409, 1424, 1423 1036, 1184, 1185, 1200, 1199, 1409, 1410, 1425, 1424 1037, 1186, 1187, 1202, 1201, 1411, 1412, 1427, 1426 1038, 1187, 1188, 1203, 1202, 1412, 1413, 1428, 1427 1039, 1188, 1189, 1204, 1203, 1413, 1414, 1429, 1428 1040, 1189, 1190, 1205, 1204, 1414, 1415, 1430, 1429 1041, 1190, 1191, 1206, 1205, 1415, 1416, 1431, 1430 1042, 1191, 1192, 1207, 1206, 1416, 1417, 1432, 1431 1043, 1192, 1193, 1208, 1207, 1417, 1418, 1433, 1432 1044, 1193, 1194, 1209, 1208, 1418, 1419, 1434, 1433 1045, 1194, 1195, 1210, 1209, 1419, 1420, 1435, 1434 1046, 1195, 1196, 1211, 1210, 1420, 1421, 1436, 1435 1047, 1196, 1197, 1212, 1211, 1421, 1422, 1437, 1436 1048, 1197, 1198, 1213, 1212, 1422, 1423, 1438, 1437 1049, 1198, 1199, 1214, 1213, 1423, 1424, 1439, 1438 1050, 1199, 1200, 1215, 1214, 1424, 1425, 1440, 1439 1051, 1201, 1202, 1217, 1216, 1426, 1427, 1442, 1441 1052, 1202, 1203, 1218, 1217, 1427, 1428, 1443, 1442 1053, 1203, 1204, 1219, 1218, 1428, 1429, 1444, 1443 1054, 1204, 1205, 1220, 1219, 1429, 1430, 1445, 1444 1055, 1205, 1206, 1221, 1220, 1430, 1431, 1446, 1445 1056, 1206, 1207, 1222, 1221, 1431, 1432, 1447, 1446 1057, 1207, 1208, 1223, 1222, 1432, 1433, 1448, 1447 1058, 1208, 1209, 1224, 1223, 1433, 1434, 1449, 1448 1059, 1209, 1210, 1225, 1224, 1434, 1435, 1450, 1449 1060, 1210, 1211, 1226, 1225, 1435, 1436, 1451, 1450 1061, 1211, 1212, 1227, 1226, 1436, 1437, 1452, 1451 1062, 1212, 1213, 1228, 1227, 1437, 1438, 1453, 1452 1063, 1213, 1214, 1229, 1228, 1438, 1439, 1454, 1453 1064, 1214, 1215, 1230, 1229, 1439, 1440, 1455, 1454 1065, 1216, 1217, 1232, 1231, 1441, 1442, 1457, 1456 1066, 1217, 1218, 1233, 1232, 1442, 1443, 1458, 1457 1067, 1218, 1219, 1234, 1233, 1443, 1444, 1459, 1458 1068, 1219, 1220, 1235, 1234, 1444, 1445, 1460, 1459 1069, 1220, 1221, 1236, 1235, 1445, 1446, 1461, 1460 1070, 1221, 1222, 1237, 1236, 1446, 1447, 1462, 1461 1071, 1222, 1223, 1238, 1237, 1447, 1448, 1463, 1462 1072, 1223, 1224, 1239, 1238, 1448, 1449, 1464, 1463 1073, 1224, 1225, 1240, 1239, 1449, 1450, 1465, 1464 1074, 1225, 1226, 1241, 1240, 1450, 1451, 1466, 1465 1075, 1226, 1227, 1242, 1241, 1451, 1452, 1467, 1466 1076, 1227, 1228, 1243, 1242, 1452, 1453, 1468, 1467 1077, 1228, 1229, 1244, 1243, 1453, 1454, 1469, 1468 1078, 1229, 1230, 1245, 1244, 1454, 1455, 1470, 1469 1079, 1231, 1232, 1247, 1246, 1456, 1457, 1472, 1471 1080, 1232, 1233, 1248, 1247, 1457, 1458, 1473, 1472 1081, 1233, 1234, 1249, 1248, 1458, 1459, 1474, 1473 1082, 1234, 1235, 1250, 1249, 1459, 1460, 1475, 1474 1083, 1235, 1236, 1251, 1250, 1460, 1461, 1476, 1475 1084, 1236, 1237, 1252, 1251, 1461, 1462, 1477, 1476 1085, 1237, 1238, 1253, 1252, 1462, 1463, 1478, 1477 1086, 1238, 1239, 1254, 1253, 1463, 1464, 1479, 1478 1087, 1239, 1240, 1255, 1254, 1464, 1465, 1480, 1479 1088, 1240, 1241, 1256, 1255, 1465, 1466, 1481, 1480 1089, 1241, 1242, 1257, 1256, 1466, 1467, 1482, 1481 1090, 1242, 1243, 1258, 1257, 1467, 1468, 1483, 1482 1091, 1243, 1244, 1259, 1258, 1468, 1469, 1484, 1483 1092, 1244, 1245, 1260, 1259, 1469, 1470, 1485, 1484 1093, 1246, 1247, 1262, 1261, 1471, 1472, 1487, 1486 1094, 1247, 1248, 1263, 1262, 1472, 1473, 1488, 1487 1095, 1248, 1249, 1264, 1263, 1473, 1474, 1489, 1488 1096, 1249, 1250, 1265, 1264, 1474, 1475, 1490, 1489 1097, 1250, 1251, 1266, 1265, 1475, 1476, 1491, 1490 1098, 1251, 1252, 1267, 1266, 1476, 1477, 1492, 1491 1099, 1252, 1253, 1268, 1267, 1477, 1478, 1493, 1492 1100, 1253, 1254, 1269, 1268, 1478, 1479, 1494, 1493 1101, 1254, 1255, 1270, 1269, 1479, 1480, 1495, 1494 1102, 1255, 1256, 1271, 1270, 1480, 1481, 1496, 1495 1103, 1256, 1257, 1272, 1271, 1481, 1482, 1497, 1496 1104, 1257, 1258, 1273, 1272, 1482, 1483, 1498, 1497 1105, 1258, 1259, 1274, 1273, 1483, 1484, 1499, 1498 1106, 1259, 1260, 1275, 1274, 1484, 1485, 1500, 1499 1107, 1261, 1262, 1277, 1276, 1486, 1487, 1502, 1501 1108, 1262, 1263, 1278, 1277, 1487, 1488, 1503, 1502 1109, 1263, 1264, 1279, 1278, 1488, 1489, 1504, 1503 1110, 1264, 1265, 1280, 1279, 1489, 1490, 1505, 1504 1111, 1265, 1266, 1281, 1280, 1490, 1491, 1506, 1505 1112, 1266, 1267, 1282, 1281, 1491, 1492, 1507, 1506 1113, 1267, 1268, 1283, 1282, 1492, 1493, 1508, 1507 1114, 1268, 1269, 1284, 1283, 1493, 1494, 1509, 1508 1115, 1269, 1270, 1285, 1284, 1494, 1495, 1510, 1509 1116, 1270, 1271, 1286, 1285, 1495, 1496, 1511, 1510 1117, 1271, 1272, 1287, 1286, 1496, 1497, 1512, 1511 1118, 1272, 1273, 1288, 1287, 1497, 1498, 1513, 1512 1119, 1273, 1274, 1289, 1288, 1498, 1499, 1514, 1513 1120, 1274, 1275, 1290, 1289, 1499, 1500, 1515, 1514 1121, 1276, 1277, 1292, 1291, 1501, 1502, 1517, 1516 1122, 1277, 1278, 1293, 1292, 1502, 1503, 1518, 1517 1123, 1278, 1279, 1294, 1293, 1503, 1504, 1519, 1518 1124, 1279, 1280, 1295, 1294, 1504, 1505, 1520, 1519 1125, 1280, 1281, 1296, 1295, 1505, 1506, 1521, 1520 1126, 1281, 1282, 1297, 1296, 1506, 1507, 1522, 1521 1127, 1282, 1283, 1298, 1297, 1507, 1508, 1523, 1522 1128, 1283, 1284, 1299, 1298, 1508, 1509, 1524, 1523 1129, 1284, 1285, 1300, 1299, 1509, 1510, 1525, 1524 1130, 1285, 1286, 1301, 1300, 1510, 1511, 1526, 1525 1131, 1286, 1287, 1302, 1301, 1511, 1512, 1527, 1526 1132, 1287, 1288, 1303, 1302, 1512, 1513, 1528, 1527 1133, 1288, 1289, 1304, 1303, 1513, 1514, 1529, 1528 1134, 1289, 1290, 1305, 1304, 1514, 1515, 1530, 1529 1135, 1291, 1292, 1307, 1306, 1516, 1517, 1532, 1531 1136, 1292, 1293, 1308, 1307, 1517, 1518, 1533, 1532 1137, 1293, 1294, 1309, 1308, 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2210, 2211, 2226, 2225 1742, 1986, 1987, 2002, 2001, 2211, 2212, 2227, 2226 1743, 1987, 1988, 2003, 2002, 2212, 2213, 2228, 2227 1744, 1988, 1989, 2004, 2003, 2213, 2214, 2229, 2228 1745, 1989, 1990, 2005, 2004, 2214, 2215, 2230, 2229 1746, 1990, 1991, 2006, 2005, 2215, 2216, 2231, 2230 1747, 1991, 1992, 2007, 2006, 2216, 2217, 2232, 2231 1748, 1992, 1993, 2008, 2007, 2217, 2218, 2233, 2232 1749, 1993, 1994, 2009, 2008, 2218, 2219, 2234, 2233 1750, 1994, 1995, 2010, 2009, 2219, 2220, 2235, 2234 1751, 1996, 1997, 2012, 2011, 2221, 2222, 2237, 2236 1752, 1997, 1998, 2013, 2012, 2222, 2223, 2238, 2237 1753, 1998, 1999, 2014, 2013, 2223, 2224, 2239, 2238 1754, 1999, 2000, 2015, 2014, 2224, 2225, 2240, 2239 1755, 2000, 2001, 2016, 2015, 2225, 2226, 2241, 2240 1756, 2001, 2002, 2017, 2016, 2226, 2227, 2242, 2241 1757, 2002, 2003, 2018, 2017, 2227, 2228, 2243, 2242 1758, 2003, 2004, 2019, 2018, 2228, 2229, 2244, 2243 1759, 2004, 2005, 2020, 2019, 2229, 2230, 2245, 2244 1760, 2005, 2006, 2021, 2020, 2230, 2231, 2246, 2245 1761, 2006, 2007, 2022, 2021, 2231, 2232, 2247, 2246 1762, 2007, 2008, 2023, 2022, 2232, 2233, 2248, 2247 1763, 2008, 2009, 2024, 2023, 2233, 2234, 2249, 2248 1764, 2009, 2010, 2025, 2024, 2234, 2235, 2250, 2249 1765, 2026, 2027, 2042, 2041, 2251, 2252, 2267, 2266 1766, 2027, 2028, 2043, 2042, 2252, 2253, 2268, 2267 1767, 2028, 2029, 2044, 2043, 2253, 2254, 2269, 2268 1768, 2029, 2030, 2045, 2044, 2254, 2255, 2270, 2269 1769, 2030, 2031, 2046, 2045, 2255, 2256, 2271, 2270 1770, 2031, 2032, 2047, 2046, 2256, 2257, 2272, 2271 1771, 2032, 2033, 2048, 2047, 2257, 2258, 2273, 2272 1772, 2033, 2034, 2049, 2048, 2258, 2259, 2274, 2273 1773, 2034, 2035, 2050, 2049, 2259, 2260, 2275, 2274 1774, 2035, 2036, 2051, 2050, 2260, 2261, 2276, 2275 1775, 2036, 2037, 2052, 2051, 2261, 2262, 2277, 2276 1776, 2037, 2038, 2053, 2052, 2262, 2263, 2278, 2277 1777, 2038, 2039, 2054, 2053, 2263, 2264, 2279, 2278 1778, 2039, 2040, 2055, 2054, 2264, 2265, 2280, 2279 1779, 2041, 2042, 2057, 2056, 2266, 2267, 2282, 2281 1780, 2042, 2043, 2058, 2057, 2267, 2268, 2283, 2282 1781, 2043, 2044, 2059, 2058, 2268, 2269, 2284, 2283 1782, 2044, 2045, 2060, 2059, 2269, 2270, 2285, 2284 1783, 2045, 2046, 2061, 2060, 2270, 2271, 2286, 2285 1784, 2046, 2047, 2062, 2061, 2271, 2272, 2287, 2286 1785, 2047, 2048, 2063, 2062, 2272, 2273, 2288, 2287 1786, 2048, 2049, 2064, 2063, 2273, 2274, 2289, 2288 1787, 2049, 2050, 2065, 2064, 2274, 2275, 2290, 2289 1788, 2050, 2051, 2066, 2065, 2275, 2276, 2291, 2290 1789, 2051, 2052, 2067, 2066, 2276, 2277, 2292, 2291 1790, 2052, 2053, 2068, 2067, 2277, 2278, 2293, 2292 1791, 2053, 2054, 2069, 2068, 2278, 2279, 2294, 2293 1792, 2054, 2055, 2070, 2069, 2279, 2280, 2295, 2294 1793, 2056, 2057, 2072, 2071, 2281, 2282, 2297, 2296 1794, 2057, 2058, 2073, 2072, 2282, 2283, 2298, 2297 1795, 2058, 2059, 2074, 2073, 2283, 2284, 2299, 2298 1796, 2059, 2060, 2075, 2074, 2284, 2285, 2300, 2299 1797, 2060, 2061, 2076, 2075, 2285, 2286, 2301, 2300 1798, 2061, 2062, 2077, 2076, 2286, 2287, 2302, 2301 1799, 2062, 2063, 2078, 2077, 2287, 2288, 2303, 2302 1800, 2063, 2064, 2079, 2078, 2288, 2289, 2304, 2303 1801, 2064, 2065, 2080, 2079, 2289, 2290, 2305, 2304 1802, 2065, 2066, 2081, 2080, 2290, 2291, 2306, 2305 1803, 2066, 2067, 2082, 2081, 2291, 2292, 2307, 2306 1804, 2067, 2068, 2083, 2082, 2292, 2293, 2308, 2307 1805, 2068, 2069, 2084, 2083, 2293, 2294, 2309, 2308 1806, 2069, 2070, 2085, 2084, 2294, 2295, 2310, 2309 1807, 2071, 2072, 2087, 2086, 2296, 2297, 2312, 2311 1808, 2072, 2073, 2088, 2087, 2297, 2298, 2313, 2312 1809, 2073, 2074, 2089, 2088, 2298, 2299, 2314, 2313 1810, 2074, 2075, 2090, 2089, 2299, 2300, 2315, 2314 1811, 2075, 2076, 2091, 2090, 2300, 2301, 2316, 2315 1812, 2076, 2077, 2092, 2091, 2301, 2302, 2317, 2316 1813, 2077, 2078, 2093, 2092, 2302, 2303, 2318, 2317 1814, 2078, 2079, 2094, 2093, 2303, 2304, 2319, 2318 1815, 2079, 2080, 2095, 2094, 2304, 2305, 2320, 2319 1816, 2080, 2081, 2096, 2095, 2305, 2306, 2321, 2320 1817, 2081, 2082, 2097, 2096, 2306, 2307, 2322, 2321 1818, 2082, 2083, 2098, 2097, 2307, 2308, 2323, 2322 1819, 2083, 2084, 2099, 2098, 2308, 2309, 2324, 2323 1820, 2084, 2085, 2100, 2099, 2309, 2310, 2325, 2324 1821, 2086, 2087, 2102, 2101, 2311, 2312, 2327, 2326 1822, 2087, 2088, 2103, 2102, 2312, 2313, 2328, 2327 1823, 2088, 2089, 2104, 2103, 2313, 2314, 2329, 2328 1824, 2089, 2090, 2105, 2104, 2314, 2315, 2330, 2329 1825, 2090, 2091, 2106, 2105, 2315, 2316, 2331, 2330 1826, 2091, 2092, 2107, 2106, 2316, 2317, 2332, 2331 1827, 2092, 2093, 2108, 2107, 2317, 2318, 2333, 2332 1828, 2093, 2094, 2109, 2108, 2318, 2319, 2334, 2333 1829, 2094, 2095, 2110, 2109, 2319, 2320, 2335, 2334 1830, 2095, 2096, 2111, 2110, 2320, 2321, 2336, 2335 1831, 2096, 2097, 2112, 2111, 2321, 2322, 2337, 2336 1832, 2097, 2098, 2113, 2112, 2322, 2323, 2338, 2337 1833, 2098, 2099, 2114, 2113, 2323, 2324, 2339, 2338 1834, 2099, 2100, 2115, 2114, 2324, 2325, 2340, 2339 1835, 2101, 2102, 2117, 2116, 2326, 2327, 2342, 2341 1836, 2102, 2103, 2118, 2117, 2327, 2328, 2343, 2342 1837, 2103, 2104, 2119, 2118, 2328, 2329, 2344, 2343 1838, 2104, 2105, 2120, 2119, 2329, 2330, 2345, 2344 1839, 2105, 2106, 2121, 2120, 2330, 2331, 2346, 2345 1840, 2106, 2107, 2122, 2121, 2331, 2332, 2347, 2346 1841, 2107, 2108, 2123, 2122, 2332, 2333, 2348, 2347 1842, 2108, 2109, 2124, 2123, 2333, 2334, 2349, 2348 1843, 2109, 2110, 2125, 2124, 2334, 2335, 2350, 2349 1844, 2110, 2111, 2126, 2125, 2335, 2336, 2351, 2350 1845, 2111, 2112, 2127, 2126, 2336, 2337, 2352, 2351 1846, 2112, 2113, 2128, 2127, 2337, 2338, 2353, 2352 1847, 2113, 2114, 2129, 2128, 2338, 2339, 2354, 2353 1848, 2114, 2115, 2130, 2129, 2339, 2340, 2355, 2354 1849, 2116, 2117, 2132, 2131, 2341, 2342, 2357, 2356 1850, 2117, 2118, 2133, 2132, 2342, 2343, 2358, 2357 1851, 2118, 2119, 2134, 2133, 2343, 2344, 2359, 2358 1852, 2119, 2120, 2135, 2134, 2344, 2345, 2360, 2359 1853, 2120, 2121, 2136, 2135, 2345, 2346, 2361, 2360 1854, 2121, 2122, 2137, 2136, 2346, 2347, 2362, 2361 1855, 2122, 2123, 2138, 2137, 2347, 2348, 2363, 2362 1856, 2123, 2124, 2139, 2138, 2348, 2349, 2364, 2363 1857, 2124, 2125, 2140, 2139, 2349, 2350, 2365, 2364 1858, 2125, 2126, 2141, 2140, 2350, 2351, 2366, 2365 1859, 2126, 2127, 2142, 2141, 2351, 2352, 2367, 2366 1860, 2127, 2128, 2143, 2142, 2352, 2353, 2368, 2367 1861, 2128, 2129, 2144, 2143, 2353, 2354, 2369, 2368 1862, 2129, 2130, 2145, 2144, 2354, 2355, 2370, 2369 1863, 2131, 2132, 2147, 2146, 2356, 2357, 2372, 2371 1864, 2132, 2133, 2148, 2147, 2357, 2358, 2373, 2372 1865, 2133, 2134, 2149, 2148, 2358, 2359, 2374, 2373 1866, 2134, 2135, 2150, 2149, 2359, 2360, 2375, 2374 1867, 2135, 2136, 2151, 2150, 2360, 2361, 2376, 2375 1868, 2136, 2137, 2152, 2151, 2361, 2362, 2377, 2376 1869, 2137, 2138, 2153, 2152, 2362, 2363, 2378, 2377 1870, 2138, 2139, 2154, 2153, 2363, 2364, 2379, 2378 1871, 2139, 2140, 2155, 2154, 2364, 2365, 2380, 2379 1872, 2140, 2141, 2156, 2155, 2365, 2366, 2381, 2380 1873, 2141, 2142, 2157, 2156, 2366, 2367, 2382, 2381 1874, 2142, 2143, 2158, 2157, 2367, 2368, 2383, 2382 1875, 2143, 2144, 2159, 2158, 2368, 2369, 2384, 2383 1876, 2144, 2145, 2160, 2159, 2369, 2370, 2385, 2384 1877, 2146, 2147, 2162, 2161, 2371, 2372, 2387, 2386 1878, 2147, 2148, 2163, 2162, 2372, 2373, 2388, 2387 1879, 2148, 2149, 2164, 2163, 2373, 2374, 2389, 2388 1880, 2149, 2150, 2165, 2164, 2374, 2375, 2390, 2389 1881, 2150, 2151, 2166, 2165, 2375, 2376, 2391, 2390 1882, 2151, 2152, 2167, 2166, 2376, 2377, 2392, 2391 1883, 2152, 2153, 2168, 2167, 2377, 2378, 2393, 2392 1884, 2153, 2154, 2169, 2168, 2378, 2379, 2394, 2393 1885, 2154, 2155, 2170, 2169, 2379, 2380, 2395, 2394 1886, 2155, 2156, 2171, 2170, 2380, 2381, 2396, 2395 1887, 2156, 2157, 2172, 2171, 2381, 2382, 2397, 2396 1888, 2157, 2158, 2173, 2172, 2382, 2383, 2398, 2397 1889, 2158, 2159, 2174, 2173, 2383, 2384, 2399, 2398 1890, 2159, 2160, 2175, 2174, 2384, 2385, 2400, 2399 1891, 2161, 2162, 2177, 2176, 2386, 2387, 2402, 2401 1892, 2162, 2163, 2178, 2177, 2387, 2388, 2403, 2402 1893, 2163, 2164, 2179, 2178, 2388, 2389, 2404, 2403 1894, 2164, 2165, 2180, 2179, 2389, 2390, 2405, 2404 1895, 2165, 2166, 2181, 2180, 2390, 2391, 2406, 2405 1896, 2166, 2167, 2182, 2181, 2391, 2392, 2407, 2406 1897, 2167, 2168, 2183, 2182, 2392, 2393, 2408, 2407 1898, 2168, 2169, 2184, 2183, 2393, 2394, 2409, 2408 1899, 2169, 2170, 2185, 2184, 2394, 2395, 2410, 2409 1900, 2170, 2171, 2186, 2185, 2395, 2396, 2411, 2410 1901, 2171, 2172, 2187, 2186, 2396, 2397, 2412, 2411 1902, 2172, 2173, 2188, 2187, 2397, 2398, 2413, 2412 1903, 2173, 2174, 2189, 2188, 2398, 2399, 2414, 2413 1904, 2174, 2175, 2190, 2189, 2399, 2400, 2415, 2414 1905, 2176, 2177, 2192, 2191, 2401, 2402, 2417, 2416 1906, 2177, 2178, 2193, 2192, 2402, 2403, 2418, 2417 1907, 2178, 2179, 2194, 2193, 2403, 2404, 2419, 2418 1908, 2179, 2180, 2195, 2194, 2404, 2405, 2420, 2419 1909, 2180, 2181, 2196, 2195, 2405, 2406, 2421, 2420 1910, 2181, 2182, 2197, 2196, 2406, 2407, 2422, 2421 1911, 2182, 2183, 2198, 2197, 2407, 2408, 2423, 2422 1912, 2183, 2184, 2199, 2198, 2408, 2409, 2424, 2423 1913, 2184, 2185, 2200, 2199, 2409, 2410, 2425, 2424 1914, 2185, 2186, 2201, 2200, 2410, 2411, 2426, 2425 1915, 2186, 2187, 2202, 2201, 2411, 2412, 2427, 2426 1916, 2187, 2188, 2203, 2202, 2412, 2413, 2428, 2427 1917, 2188, 2189, 2204, 2203, 2413, 2414, 2429, 2428 1918, 2189, 2190, 2205, 2204, 2414, 2415, 2430, 2429 1919, 2191, 2192, 2207, 2206, 2416, 2417, 2432, 2431 1920, 2192, 2193, 2208, 2207, 2417, 2418, 2433, 2432 1921, 2193, 2194, 2209, 2208, 2418, 2419, 2434, 2433 1922, 2194, 2195, 2210, 2209, 2419, 2420, 2435, 2434 1923, 2195, 2196, 2211, 2210, 2420, 2421, 2436, 2435 1924, 2196, 2197, 2212, 2211, 2421, 2422, 2437, 2436 1925, 2197, 2198, 2213, 2212, 2422, 2423, 2438, 2437 1926, 2198, 2199, 2214, 2213, 2423, 2424, 2439, 2438 1927, 2199, 2200, 2215, 2214, 2424, 2425, 2440, 2439 1928, 2200, 2201, 2216, 2215, 2425, 2426, 2441, 2440 1929, 2201, 2202, 2217, 2216, 2426, 2427, 2442, 2441 1930, 2202, 2203, 2218, 2217, 2427, 2428, 2443, 2442 1931, 2203, 2204, 2219, 2218, 2428, 2429, 2444, 2443 1932, 2204, 2205, 2220, 2219, 2429, 2430, 2445, 2444 1933, 2206, 2207, 2222, 2221, 2431, 2432, 2447, 2446 1934, 2207, 2208, 2223, 2222, 2432, 2433, 2448, 2447 1935, 2208, 2209, 2224, 2223, 2433, 2434, 2449, 2448 1936, 2209, 2210, 2225, 2224, 2434, 2435, 2450, 2449 1937, 2210, 2211, 2226, 2225, 2435, 2436, 2451, 2450 1938, 2211, 2212, 2227, 2226, 2436, 2437, 2452, 2451 1939, 2212, 2213, 2228, 2227, 2437, 2438, 2453, 2452 1940, 2213, 2214, 2229, 2228, 2438, 2439, 2454, 2453 1941, 2214, 2215, 2230, 2229, 2439, 2440, 2455, 2454 1942, 2215, 2216, 2231, 2230, 2440, 2441, 2456, 2455 1943, 2216, 2217, 2232, 2231, 2441, 2442, 2457, 2456 1944, 2217, 2218, 2233, 2232, 2442, 2443, 2458, 2457 1945, 2218, 2219, 2234, 2233, 2443, 2444, 2459, 2458 1946, 2219, 2220, 2235, 2234, 2444, 2445, 2460, 2459 1947, 2221, 2222, 2237, 2236, 2446, 2447, 2462, 2461 1948, 2222, 2223, 2238, 2237, 2447, 2448, 2463, 2462 1949, 2223, 2224, 2239, 2238, 2448, 2449, 2464, 2463 1950, 2224, 2225, 2240, 2239, 2449, 2450, 2465, 2464 1951, 2225, 2226, 2241, 2240, 2450, 2451, 2466, 2465 1952, 2226, 2227, 2242, 2241, 2451, 2452, 2467, 2466 1953, 2227, 2228, 2243, 2242, 2452, 2453, 2468, 2467 1954, 2228, 2229, 2244, 2243, 2453, 2454, 2469, 2468 1955, 2229, 2230, 2245, 2244, 2454, 2455, 2470, 2469 1956, 2230, 2231, 2246, 2245, 2455, 2456, 2471, 2470 1957, 2231, 2232, 2247, 2246, 2456, 2457, 2472, 2471 1958, 2232, 2233, 2248, 2247, 2457, 2458, 2473, 2472 1959, 2233, 2234, 2249, 2248, 2458, 2459, 2474, 2473 1960, 2234, 2235, 2250, 2249, 2459, 2460, 2475, 2474 1961, 2251, 2252, 2267, 2266, 2476, 2477, 2492, 2491 1962, 2252, 2253, 2268, 2267, 2477, 2478, 2493, 2492 1963, 2253, 2254, 2269, 2268, 2478, 2479, 2494, 2493 1964, 2254, 2255, 2270, 2269, 2479, 2480, 2495, 2494 1965, 2255, 2256, 2271, 2270, 2480, 2481, 2496, 2495 1966, 2256, 2257, 2272, 2271, 2481, 2482, 2497, 2496 1967, 2257, 2258, 2273, 2272, 2482, 2483, 2498, 2497 1968, 2258, 2259, 2274, 2273, 2483, 2484, 2499, 2498 1969, 2259, 2260, 2275, 2274, 2484, 2485, 2500, 2499 1970, 2260, 2261, 2276, 2275, 2485, 2486, 2501, 2500 1971, 2261, 2262, 2277, 2276, 2486, 2487, 2502, 2501 1972, 2262, 2263, 2278, 2277, 2487, 2488, 2503, 2502 1973, 2263, 2264, 2279, 2278, 2488, 2489, 2504, 2503 1974, 2264, 2265, 2280, 2279, 2489, 2490, 2505, 2504 1975, 2266, 2267, 2282, 2281, 2491, 2492, 2507, 2506 1976, 2267, 2268, 2283, 2282, 2492, 2493, 2508, 2507 1977, 2268, 2269, 2284, 2283, 2493, 2494, 2509, 2508 1978, 2269, 2270, 2285, 2284, 2494, 2495, 2510, 2509 1979, 2270, 2271, 2286, 2285, 2495, 2496, 2511, 2510 1980, 2271, 2272, 2287, 2286, 2496, 2497, 2512, 2511 1981, 2272, 2273, 2288, 2287, 2497, 2498, 2513, 2512 1982, 2273, 2274, 2289, 2288, 2498, 2499, 2514, 2513 1983, 2274, 2275, 2290, 2289, 2499, 2500, 2515, 2514 1984, 2275, 2276, 2291, 2290, 2500, 2501, 2516, 2515 1985, 2276, 2277, 2292, 2291, 2501, 2502, 2517, 2516 1986, 2277, 2278, 2293, 2292, 2502, 2503, 2518, 2517 1987, 2278, 2279, 2294, 2293, 2503, 2504, 2519, 2518 1988, 2279, 2280, 2295, 2294, 2504, 2505, 2520, 2519 1989, 2281, 2282, 2297, 2296, 2506, 2507, 2522, 2521 1990, 2282, 2283, 2298, 2297, 2507, 2508, 2523, 2522 1991, 2283, 2284, 2299, 2298, 2508, 2509, 2524, 2523 1992, 2284, 2285, 2300, 2299, 2509, 2510, 2525, 2524 1993, 2285, 2286, 2301, 2300, 2510, 2511, 2526, 2525 1994, 2286, 2287, 2302, 2301, 2511, 2512, 2527, 2526 1995, 2287, 2288, 2303, 2302, 2512, 2513, 2528, 2527 1996, 2288, 2289, 2304, 2303, 2513, 2514, 2529, 2528 1997, 2289, 2290, 2305, 2304, 2514, 2515, 2530, 2529 1998, 2290, 2291, 2306, 2305, 2515, 2516, 2531, 2530 1999, 2291, 2292, 2307, 2306, 2516, 2517, 2532, 2531 2000, 2292, 2293, 2308, 2307, 2517, 2518, 2533, 2532 2001, 2293, 2294, 2309, 2308, 2518, 2519, 2534, 2533 2002, 2294, 2295, 2310, 2309, 2519, 2520, 2535, 2534 2003, 2296, 2297, 2312, 2311, 2521, 2522, 2537, 2536 2004, 2297, 2298, 2313, 2312, 2522, 2523, 2538, 2537 2005, 2298, 2299, 2314, 2313, 2523, 2524, 2539, 2538 2006, 2299, 2300, 2315, 2314, 2524, 2525, 2540, 2539 2007, 2300, 2301, 2316, 2315, 2525, 2526, 2541, 2540 2008, 2301, 2302, 2317, 2316, 2526, 2527, 2542, 2541 2009, 2302, 2303, 2318, 2317, 2527, 2528, 2543, 2542 2010, 2303, 2304, 2319, 2318, 2528, 2529, 2544, 2543 2011, 2304, 2305, 2320, 2319, 2529, 2530, 2545, 2544 2012, 2305, 2306, 2321, 2320, 2530, 2531, 2546, 2545 2013, 2306, 2307, 2322, 2321, 2531, 2532, 2547, 2546 2014, 2307, 2308, 2323, 2322, 2532, 2533, 2548, 2547 2015, 2308, 2309, 2324, 2323, 2533, 2534, 2549, 2548 2016, 2309, 2310, 2325, 2324, 2534, 2535, 2550, 2549 2017, 2311, 2312, 2327, 2326, 2536, 2537, 2552, 2551 2018, 2312, 2313, 2328, 2327, 2537, 2538, 2553, 2552 2019, 2313, 2314, 2329, 2328, 2538, 2539, 2554, 2553 2020, 2314, 2315, 2330, 2329, 2539, 2540, 2555, 2554 2021, 2315, 2316, 2331, 2330, 2540, 2541, 2556, 2555 2022, 2316, 2317, 2332, 2331, 2541, 2542, 2557, 2556 2023, 2317, 2318, 2333, 2332, 2542, 2543, 2558, 2557 2024, 2318, 2319, 2334, 2333, 2543, 2544, 2559, 2558 2025, 2319, 2320, 2335, 2334, 2544, 2545, 2560, 2559 2026, 2320, 2321, 2336, 2335, 2545, 2546, 2561, 2560 2027, 2321, 2322, 2337, 2336, 2546, 2547, 2562, 2561 2028, 2322, 2323, 2338, 2337, 2547, 2548, 2563, 2562 2029, 2323, 2324, 2339, 2338, 2548, 2549, 2564, 2563 2030, 2324, 2325, 2340, 2339, 2549, 2550, 2565, 2564 2031, 2326, 2327, 2342, 2341, 2551, 2552, 2567, 2566 2032, 2327, 2328, 2343, 2342, 2552, 2553, 2568, 2567 2033, 2328, 2329, 2344, 2343, 2553, 2554, 2569, 2568 2034, 2329, 2330, 2345, 2344, 2554, 2555, 2570, 2569 2035, 2330, 2331, 2346, 2345, 2555, 2556, 2571, 2570 2036, 2331, 2332, 2347, 2346, 2556, 2557, 2572, 2571 2037, 2332, 2333, 2348, 2347, 2557, 2558, 2573, 2572 2038, 2333, 2334, 2349, 2348, 2558, 2559, 2574, 2573 2039, 2334, 2335, 2350, 2349, 2559, 2560, 2575, 2574 2040, 2335, 2336, 2351, 2350, 2560, 2561, 2576, 2575 2041, 2336, 2337, 2352, 2351, 2561, 2562, 2577, 2576 2042, 2337, 2338, 2353, 2352, 2562, 2563, 2578, 2577 2043, 2338, 2339, 2354, 2353, 2563, 2564, 2579, 2578 2044, 2339, 2340, 2355, 2354, 2564, 2565, 2580, 2579 2045, 2341, 2342, 2357, 2356, 2566, 2567, 2582, 2581 2046, 2342, 2343, 2358, 2357, 2567, 2568, 2583, 2582 2047, 2343, 2344, 2359, 2358, 2568, 2569, 2584, 2583 2048, 2344, 2345, 2360, 2359, 2569, 2570, 2585, 2584 2049, 2345, 2346, 2361, 2360, 2570, 2571, 2586, 2585 2050, 2346, 2347, 2362, 2361, 2571, 2572, 2587, 2586 2051, 2347, 2348, 2363, 2362, 2572, 2573, 2588, 2587 2052, 2348, 2349, 2364, 2363, 2573, 2574, 2589, 2588 2053, 2349, 2350, 2365, 2364, 2574, 2575, 2590, 2589 2054, 2350, 2351, 2366, 2365, 2575, 2576, 2591, 2590 2055, 2351, 2352, 2367, 2366, 2576, 2577, 2592, 2591 2056, 2352, 2353, 2368, 2367, 2577, 2578, 2593, 2592 2057, 2353, 2354, 2369, 2368, 2578, 2579, 2594, 2593 2058, 2354, 2355, 2370, 2369, 2579, 2580, 2595, 2594 2059, 2356, 2357, 2372, 2371, 2581, 2582, 2597, 2596 2060, 2357, 2358, 2373, 2372, 2582, 2583, 2598, 2597 2061, 2358, 2359, 2374, 2373, 2583, 2584, 2599, 2598 2062, 2359, 2360, 2375, 2374, 2584, 2585, 2600, 2599 2063, 2360, 2361, 2376, 2375, 2585, 2586, 2601, 2600 2064, 2361, 2362, 2377, 2376, 2586, 2587, 2602, 2601 2065, 2362, 2363, 2378, 2377, 2587, 2588, 2603, 2602 2066, 2363, 2364, 2379, 2378, 2588, 2589, 2604, 2603 2067, 2364, 2365, 2380, 2379, 2589, 2590, 2605, 2604 2068, 2365, 2366, 2381, 2380, 2590, 2591, 2606, 2605 2069, 2366, 2367, 2382, 2381, 2591, 2592, 2607, 2606 2070, 2367, 2368, 2383, 2382, 2592, 2593, 2608, 2607 2071, 2368, 2369, 2384, 2383, 2593, 2594, 2609, 2608 2072, 2369, 2370, 2385, 2384, 2594, 2595, 2610, 2609 2073, 2371, 2372, 2387, 2386, 2596, 2597, 2612, 2611 2074, 2372, 2373, 2388, 2387, 2597, 2598, 2613, 2612 2075, 2373, 2374, 2389, 2388, 2598, 2599, 2614, 2613 2076, 2374, 2375, 2390, 2389, 2599, 2600, 2615, 2614 2077, 2375, 2376, 2391, 2390, 2600, 2601, 2616, 2615 2078, 2376, 2377, 2392, 2391, 2601, 2602, 2617, 2616 2079, 2377, 2378, 2393, 2392, 2602, 2603, 2618, 2617 2080, 2378, 2379, 2394, 2393, 2603, 2604, 2619, 2618 2081, 2379, 2380, 2395, 2394, 2604, 2605, 2620, 2619 2082, 2380, 2381, 2396, 2395, 2605, 2606, 2621, 2620 2083, 2381, 2382, 2397, 2396, 2606, 2607, 2622, 2621 2084, 2382, 2383, 2398, 2397, 2607, 2608, 2623, 2622 2085, 2383, 2384, 2399, 2398, 2608, 2609, 2624, 2623 2086, 2384, 2385, 2400, 2399, 2609, 2610, 2625, 2624 2087, 2386, 2387, 2402, 2401, 2611, 2612, 2627, 2626 2088, 2387, 2388, 2403, 2402, 2612, 2613, 2628, 2627 2089, 2388, 2389, 2404, 2403, 2613, 2614, 2629, 2628 2090, 2389, 2390, 2405, 2404, 2614, 2615, 2630, 2629 2091, 2390, 2391, 2406, 2405, 2615, 2616, 2631, 2630 2092, 2391, 2392, 2407, 2406, 2616, 2617, 2632, 2631 2093, 2392, 2393, 2408, 2407, 2617, 2618, 2633, 2632 2094, 2393, 2394, 2409, 2408, 2618, 2619, 2634, 2633 2095, 2394, 2395, 2410, 2409, 2619, 2620, 2635, 2634 2096, 2395, 2396, 2411, 2410, 2620, 2621, 2636, 2635 2097, 2396, 2397, 2412, 2411, 2621, 2622, 2637, 2636 2098, 2397, 2398, 2413, 2412, 2622, 2623, 2638, 2637 2099, 2398, 2399, 2414, 2413, 2623, 2624, 2639, 2638 2100, 2399, 2400, 2415, 2414, 2624, 2625, 2640, 2639 2101, 2401, 2402, 2417, 2416, 2626, 2627, 2642, 2641 2102, 2402, 2403, 2418, 2417, 2627, 2628, 2643, 2642 2103, 2403, 2404, 2419, 2418, 2628, 2629, 2644, 2643 2104, 2404, 2405, 2420, 2419, 2629, 2630, 2645, 2644 2105, 2405, 2406, 2421, 2420, 2630, 2631, 2646, 2645 2106, 2406, 2407, 2422, 2421, 2631, 2632, 2647, 2646 2107, 2407, 2408, 2423, 2422, 2632, 2633, 2648, 2647 2108, 2408, 2409, 2424, 2423, 2633, 2634, 2649, 2648 2109, 2409, 2410, 2425, 2424, 2634, 2635, 2650, 2649 2110, 2410, 2411, 2426, 2425, 2635, 2636, 2651, 2650 2111, 2411, 2412, 2427, 2426, 2636, 2637, 2652, 2651 2112, 2412, 2413, 2428, 2427, 2637, 2638, 2653, 2652 2113, 2413, 2414, 2429, 2428, 2638, 2639, 2654, 2653 2114, 2414, 2415, 2430, 2429, 2639, 2640, 2655, 2654 2115, 2416, 2417, 2432, 2431, 2641, 2642, 2657, 2656 2116, 2417, 2418, 2433, 2432, 2642, 2643, 2658, 2657 2117, 2418, 2419, 2434, 2433, 2643, 2644, 2659, 2658 2118, 2419, 2420, 2435, 2434, 2644, 2645, 2660, 2659 2119, 2420, 2421, 2436, 2435, 2645, 2646, 2661, 2660 2120, 2421, 2422, 2437, 2436, 2646, 2647, 2662, 2661 2121, 2422, 2423, 2438, 2437, 2647, 2648, 2663, 2662 2122, 2423, 2424, 2439, 2438, 2648, 2649, 2664, 2663 2123, 2424, 2425, 2440, 2439, 2649, 2650, 2665, 2664 2124, 2425, 2426, 2441, 2440, 2650, 2651, 2666, 2665 2125, 2426, 2427, 2442, 2441, 2651, 2652, 2667, 2666 2126, 2427, 2428, 2443, 2442, 2652, 2653, 2668, 2667 2127, 2428, 2429, 2444, 2443, 2653, 2654, 2669, 2668 2128, 2429, 2430, 2445, 2444, 2654, 2655, 2670, 2669 2129, 2431, 2432, 2447, 2446, 2656, 2657, 2672, 2671 2130, 2432, 2433, 2448, 2447, 2657, 2658, 2673, 2672 2131, 2433, 2434, 2449, 2448, 2658, 2659, 2674, 2673 2132, 2434, 2435, 2450, 2449, 2659, 2660, 2675, 2674 2133, 2435, 2436, 2451, 2450, 2660, 2661, 2676, 2675 2134, 2436, 2437, 2452, 2451, 2661, 2662, 2677, 2676 2135, 2437, 2438, 2453, 2452, 2662, 2663, 2678, 2677 2136, 2438, 2439, 2454, 2453, 2663, 2664, 2679, 2678 2137, 2439, 2440, 2455, 2454, 2664, 2665, 2680, 2679 2138, 2440, 2441, 2456, 2455, 2665, 2666, 2681, 2680 2139, 2441, 2442, 2457, 2456, 2666, 2667, 2682, 2681 2140, 2442, 2443, 2458, 2457, 2667, 2668, 2683, 2682 2141, 2443, 2444, 2459, 2458, 2668, 2669, 2684, 2683 2142, 2444, 2445, 2460, 2459, 2669, 2670, 2685, 2684 2143, 2446, 2447, 2462, 2461, 2671, 2672, 2687, 2686 2144, 2447, 2448, 2463, 2462, 2672, 2673, 2688, 2687 2145, 2448, 2449, 2464, 2463, 2673, 2674, 2689, 2688 2146, 2449, 2450, 2465, 2464, 2674, 2675, 2690, 2689 2147, 2450, 2451, 2466, 2465, 2675, 2676, 2691, 2690 2148, 2451, 2452, 2467, 2466, 2676, 2677, 2692, 2691 2149, 2452, 2453, 2468, 2467, 2677, 2678, 2693, 2692 2150, 2453, 2454, 2469, 2468, 2678, 2679, 2694, 2693 2151, 2454, 2455, 2470, 2469, 2679, 2680, 2695, 2694 2152, 2455, 2456, 2471, 2470, 2680, 2681, 2696, 2695 2153, 2456, 2457, 2472, 2471, 2681, 2682, 2697, 2696 2154, 2457, 2458, 2473, 2472, 2682, 2683, 2698, 2697 2155, 2458, 2459, 2474, 2473, 2683, 2684, 2699, 2698 2156, 2459, 2460, 2475, 2474, 2684, 2685, 2700, 2699 2157, 2476, 2477, 2492, 2491, 2701, 2702, 2717, 2716 2158, 2477, 2478, 2493, 2492, 2702, 2703, 2718, 2717 2159, 2478, 2479, 2494, 2493, 2703, 2704, 2719, 2718 2160, 2479, 2480, 2495, 2494, 2704, 2705, 2720, 2719 2161, 2480, 2481, 2496, 2495, 2705, 2706, 2721, 2720 2162, 2481, 2482, 2497, 2496, 2706, 2707, 2722, 2721 2163, 2482, 2483, 2498, 2497, 2707, 2708, 2723, 2722 2164, 2483, 2484, 2499, 2498, 2708, 2709, 2724, 2723 2165, 2484, 2485, 2500, 2499, 2709, 2710, 2725, 2724 2166, 2485, 2486, 2501, 2500, 2710, 2711, 2726, 2725 2167, 2486, 2487, 2502, 2501, 2711, 2712, 2727, 2726 2168, 2487, 2488, 2503, 2502, 2712, 2713, 2728, 2727 2169, 2488, 2489, 2504, 2503, 2713, 2714, 2729, 2728 2170, 2489, 2490, 2505, 2504, 2714, 2715, 2730, 2729 2171, 2491, 2492, 2507, 2506, 2716, 2717, 2732, 2731 2172, 2492, 2493, 2508, 2507, 2717, 2718, 2733, 2732 2173, 2493, 2494, 2509, 2508, 2718, 2719, 2734, 2733 2174, 2494, 2495, 2510, 2509, 2719, 2720, 2735, 2734 2175, 2495, 2496, 2511, 2510, 2720, 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2740, 2741, 2756, 2755 2195, 2516, 2517, 2532, 2531, 2741, 2742, 2757, 2756 2196, 2517, 2518, 2533, 2532, 2742, 2743, 2758, 2757 2197, 2518, 2519, 2534, 2533, 2743, 2744, 2759, 2758 2198, 2519, 2520, 2535, 2534, 2744, 2745, 2760, 2759 2199, 2521, 2522, 2537, 2536, 2746, 2747, 2762, 2761 2200, 2522, 2523, 2538, 2537, 2747, 2748, 2763, 2762 2201, 2523, 2524, 2539, 2538, 2748, 2749, 2764, 2763 2202, 2524, 2525, 2540, 2539, 2749, 2750, 2765, 2764 2203, 2525, 2526, 2541, 2540, 2750, 2751, 2766, 2765 2204, 2526, 2527, 2542, 2541, 2751, 2752, 2767, 2766 2205, 2527, 2528, 2543, 2542, 2752, 2753, 2768, 2767 2206, 2528, 2529, 2544, 2543, 2753, 2754, 2769, 2768 2207, 2529, 2530, 2545, 2544, 2754, 2755, 2770, 2769 2208, 2530, 2531, 2546, 2545, 2755, 2756, 2771, 2770 2209, 2531, 2532, 2547, 2546, 2756, 2757, 2772, 2771 2210, 2532, 2533, 2548, 2547, 2757, 2758, 2773, 2772 2211, 2533, 2534, 2549, 2548, 2758, 2759, 2774, 2773 2212, 2534, 2535, 2550, 2549, 2759, 2760, 2775, 2774 2213, 2536, 2537, 2552, 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2931, 2946, 2945, 3155, 3156, 3171, 3170 2554, 2931, 2932, 2947, 2946, 3156, 3157, 3172, 3171 2555, 2932, 2933, 2948, 2947, 3157, 3158, 3173, 3172 2556, 2933, 2934, 2949, 2948, 3158, 3159, 3174, 3173 2557, 2934, 2935, 2950, 2949, 3159, 3160, 3175, 3174 2558, 2935, 2936, 2951, 2950, 3160, 3161, 3176, 3175 2559, 2936, 2937, 2952, 2951, 3161, 3162, 3177, 3176 2560, 2937, 2938, 2953, 2952, 3162, 3163, 3178, 3177 2561, 2938, 2939, 2954, 2953, 3163, 3164, 3179, 3178 2562, 2939, 2940, 2955, 2954, 3164, 3165, 3180, 3179 2563, 2941, 2942, 2957, 2956, 3166, 3167, 3182, 3181 2564, 2942, 2943, 2958, 2957, 3167, 3168, 3183, 3182 2565, 2943, 2944, 2959, 2958, 3168, 3169, 3184, 3183 2566, 2944, 2945, 2960, 2959, 3169, 3170, 3185, 3184 2567, 2945, 2946, 2961, 2960, 3170, 3171, 3186, 3185 2568, 2946, 2947, 2962, 2961, 3171, 3172, 3187, 3186 2569, 2947, 2948, 2963, 2962, 3172, 3173, 3188, 3187 2570, 2948, 2949, 2964, 2963, 3173, 3174, 3189, 3188 2571, 2949, 2950, 2965, 2964, 3174, 3175, 3190, 3189 2572, 2950, 2951, 2966, 2965, 3175, 3176, 3191, 3190 2573, 2951, 2952, 2967, 2966, 3176, 3177, 3192, 3191 2574, 2952, 2953, 2968, 2967, 3177, 3178, 3193, 3192 2575, 2953, 2954, 2969, 2968, 3178, 3179, 3194, 3193 2576, 2954, 2955, 2970, 2969, 3179, 3180, 3195, 3194 2577, 2956, 2957, 2972, 2971, 3181, 3182, 3197, 3196 2578, 2957, 2958, 2973, 2972, 3182, 3183, 3198, 3197 2579, 2958, 2959, 2974, 2973, 3183, 3184, 3199, 3198 2580, 2959, 2960, 2975, 2974, 3184, 3185, 3200, 3199 2581, 2960, 2961, 2976, 2975, 3185, 3186, 3201, 3200 2582, 2961, 2962, 2977, 2976, 3186, 3187, 3202, 3201 2583, 2962, 2963, 2978, 2977, 3187, 3188, 3203, 3202 2584, 2963, 2964, 2979, 2978, 3188, 3189, 3204, 3203 2585, 2964, 2965, 2980, 2979, 3189, 3190, 3205, 3204 2586, 2965, 2966, 2981, 2980, 3190, 3191, 3206, 3205 2587, 2966, 2967, 2982, 2981, 3191, 3192, 3207, 3206 2588, 2967, 2968, 2983, 2982, 3192, 3193, 3208, 3207 2589, 2968, 2969, 2984, 2983, 3193, 3194, 3209, 3208 2590, 2969, 2970, 2985, 2984, 3194, 3195, 3210, 3209 2591, 2971, 2972, 2987, 2986, 3196, 3197, 3212, 3211 2592, 2972, 2973, 2988, 2987, 3197, 3198, 3213, 3212 2593, 2973, 2974, 2989, 2988, 3198, 3199, 3214, 3213 2594, 2974, 2975, 2990, 2989, 3199, 3200, 3215, 3214 2595, 2975, 2976, 2991, 2990, 3200, 3201, 3216, 3215 2596, 2976, 2977, 2992, 2991, 3201, 3202, 3217, 3216 2597, 2977, 2978, 2993, 2992, 3202, 3203, 3218, 3217 2598, 2978, 2979, 2994, 2993, 3203, 3204, 3219, 3218 2599, 2979, 2980, 2995, 2994, 3204, 3205, 3220, 3219 2600, 2980, 2981, 2996, 2995, 3205, 3206, 3221, 3220 2601, 2981, 2982, 2997, 2996, 3206, 3207, 3222, 3221 2602, 2982, 2983, 2998, 2997, 3207, 3208, 3223, 3222 2603, 2983, 2984, 2999, 2998, 3208, 3209, 3224, 3223 2604, 2984, 2985, 3000, 2999, 3209, 3210, 3225, 3224 2605, 2986, 2987, 3002, 3001, 3211, 3212, 3227, 3226 2606, 2987, 2988, 3003, 3002, 3212, 3213, 3228, 3227 2607, 2988, 2989, 3004, 3003, 3213, 3214, 3229, 3228 2608, 2989, 2990, 3005, 3004, 3214, 3215, 3230, 3229 2609, 2990, 2991, 3006, 3005, 3215, 3216, 3231, 3230 2610, 2991, 2992, 3007, 3006, 3216, 3217, 3232, 3231 2611, 2992, 2993, 3008, 3007, 3217, 3218, 3233, 3232 2612, 2993, 2994, 3009, 3008, 3218, 3219, 3234, 3233 2613, 2994, 2995, 3010, 3009, 3219, 3220, 3235, 3234 2614, 2995, 2996, 3011, 3010, 3220, 3221, 3236, 3235 2615, 2996, 2997, 3012, 3011, 3221, 3222, 3237, 3236 2616, 2997, 2998, 3013, 3012, 3222, 3223, 3238, 3237 2617, 2998, 2999, 3014, 3013, 3223, 3224, 3239, 3238 2618, 2999, 3000, 3015, 3014, 3224, 3225, 3240, 3239 2619, 3001, 3002, 3017, 3016, 3226, 3227, 3242, 3241 2620, 3002, 3003, 3018, 3017, 3227, 3228, 3243, 3242 2621, 3003, 3004, 3019, 3018, 3228, 3229, 3244, 3243 2622, 3004, 3005, 3020, 3019, 3229, 3230, 3245, 3244 2623, 3005, 3006, 3021, 3020, 3230, 3231, 3246, 3245 2624, 3006, 3007, 3022, 3021, 3231, 3232, 3247, 3246 2625, 3007, 3008, 3023, 3022, 3232, 3233, 3248, 3247 2626, 3008, 3009, 3024, 3023, 3233, 3234, 3249, 3248 2627, 3009, 3010, 3025, 3024, 3234, 3235, 3250, 3249 2628, 3010, 3011, 3026, 3025, 3235, 3236, 3251, 3250 2629, 3011, 3012, 3027, 3026, 3236, 3237, 3252, 3251 2630, 3012, 3013, 3028, 3027, 3237, 3238, 3253, 3252 2631, 3013, 3014, 3029, 3028, 3238, 3239, 3254, 3253 2632, 3014, 3015, 3030, 3029, 3239, 3240, 3255, 3254 2633, 3016, 3017, 3032, 3031, 3241, 3242, 3257, 3256 2634, 3017, 3018, 3033, 3032, 3242, 3243, 3258, 3257 2635, 3018, 3019, 3034, 3033, 3243, 3244, 3259, 3258 2636, 3019, 3020, 3035, 3034, 3244, 3245, 3260, 3259 2637, 3020, 3021, 3036, 3035, 3245, 3246, 3261, 3260 2638, 3021, 3022, 3037, 3036, 3246, 3247, 3262, 3261 2639, 3022, 3023, 3038, 3037, 3247, 3248, 3263, 3262 2640, 3023, 3024, 3039, 3038, 3248, 3249, 3264, 3263 2641, 3024, 3025, 3040, 3039, 3249, 3250, 3265, 3264 2642, 3025, 3026, 3041, 3040, 3250, 3251, 3266, 3265 2643, 3026, 3027, 3042, 3041, 3251, 3252, 3267, 3266 2644, 3027, 3028, 3043, 3042, 3252, 3253, 3268, 3267 2645, 3028, 3029, 3044, 3043, 3253, 3254, 3269, 3268 2646, 3029, 3030, 3045, 3044, 3254, 3255, 3270, 3269 2647, 3031, 3032, 3047, 3046, 3256, 3257, 3272, 3271 2648, 3032, 3033, 3048, 3047, 3257, 3258, 3273, 3272 2649, 3033, 3034, 3049, 3048, 3258, 3259, 3274, 3273 2650, 3034, 3035, 3050, 3049, 3259, 3260, 3275, 3274 2651, 3035, 3036, 3051, 3050, 3260, 3261, 3276, 3275 2652, 3036, 3037, 3052, 3051, 3261, 3262, 3277, 3276 2653, 3037, 3038, 3053, 3052, 3262, 3263, 3278, 3277 2654, 3038, 3039, 3054, 3053, 3263, 3264, 3279, 3278 2655, 3039, 3040, 3055, 3054, 3264, 3265, 3280, 3279 2656, 3040, 3041, 3056, 3055, 3265, 3266, 3281, 3280 2657, 3041, 3042, 3057, 3056, 3266, 3267, 3282, 3281 2658, 3042, 3043, 3058, 3057, 3267, 3268, 3283, 3282 2659, 3043, 3044, 3059, 3058, 3268, 3269, 3284, 3283 2660, 3044, 3045, 3060, 3059, 3269, 3270, 3285, 3284 2661, 3046, 3047, 3062, 3061, 3271, 3272, 3287, 3286 2662, 3047, 3048, 3063, 3062, 3272, 3273, 3288, 3287 2663, 3048, 3049, 3064, 3063, 3273, 3274, 3289, 3288 2664, 3049, 3050, 3065, 3064, 3274, 3275, 3290, 3289 2665, 3050, 3051, 3066, 3065, 3275, 3276, 3291, 3290 2666, 3051, 3052, 3067, 3066, 3276, 3277, 3292, 3291 2667, 3052, 3053, 3068, 3067, 3277, 3278, 3293, 3292 2668, 3053, 3054, 3069, 3068, 3278, 3279, 3294, 3293 2669, 3054, 3055, 3070, 3069, 3279, 3280, 3295, 3294 2670, 3055, 3056, 3071, 3070, 3280, 3281, 3296, 3295 2671, 3056, 3057, 3072, 3071, 3281, 3282, 3297, 3296 2672, 3057, 3058, 3073, 3072, 3282, 3283, 3298, 3297 2673, 3058, 3059, 3074, 3073, 3283, 3284, 3299, 3298 2674, 3059, 3060, 3075, 3074, 3284, 3285, 3300, 3299 2675, 3061, 3062, 3077, 3076, 3286, 3287, 3302, 3301 2676, 3062, 3063, 3078, 3077, 3287, 3288, 3303, 3302 2677, 3063, 3064, 3079, 3078, 3288, 3289, 3304, 3303 2678, 3064, 3065, 3080, 3079, 3289, 3290, 3305, 3304 2679, 3065, 3066, 3081, 3080, 3290, 3291, 3306, 3305 2680, 3066, 3067, 3082, 3081, 3291, 3292, 3307, 3306 2681, 3067, 3068, 3083, 3082, 3292, 3293, 3308, 3307 2682, 3068, 3069, 3084, 3083, 3293, 3294, 3309, 3308 2683, 3069, 3070, 3085, 3084, 3294, 3295, 3310, 3309 2684, 3070, 3071, 3086, 3085, 3295, 3296, 3311, 3310 2685, 3071, 3072, 3087, 3086, 3296, 3297, 3312, 3311 2686, 3072, 3073, 3088, 3087, 3297, 3298, 3313, 3312 2687, 3073, 3074, 3089, 3088, 3298, 3299, 3314, 3313 2688, 3074, 3075, 3090, 3089, 3299, 3300, 3315, 3314 2689, 3076, 3077, 3092, 3091, 3301, 3302, 3317, 3316 2690, 3077, 3078, 3093, 3092, 3302, 3303, 3318, 3317 2691, 3078, 3079, 3094, 3093, 3303, 3304, 3319, 3318 2692, 3079, 3080, 3095, 3094, 3304, 3305, 3320, 3319 2693, 3080, 3081, 3096, 3095, 3305, 3306, 3321, 3320 2694, 3081, 3082, 3097, 3096, 3306, 3307, 3322, 3321 2695, 3082, 3083, 3098, 3097, 3307, 3308, 3323, 3322 2696, 3083, 3084, 3099, 3098, 3308, 3309, 3324, 3323 2697, 3084, 3085, 3100, 3099, 3309, 3310, 3325, 3324 2698, 3085, 3086, 3101, 3100, 3310, 3311, 3326, 3325 2699, 3086, 3087, 3102, 3101, 3311, 3312, 3327, 3326 2700, 3087, 3088, 3103, 3102, 3312, 3313, 3328, 3327 2701, 3088, 3089, 3104, 3103, 3313, 3314, 3329, 3328 2702, 3089, 3090, 3105, 3104, 3314, 3315, 3330, 3329 2703, 3091, 3092, 3107, 3106, 3316, 3317, 3332, 3331 2704, 3092, 3093, 3108, 3107, 3317, 3318, 3333, 3332 2705, 3093, 3094, 3109, 3108, 3318, 3319, 3334, 3333 2706, 3094, 3095, 3110, 3109, 3319, 3320, 3335, 3334 2707, 3095, 3096, 3111, 3110, 3320, 3321, 3336, 3335 2708, 3096, 3097, 3112, 3111, 3321, 3322, 3337, 3336 2709, 3097, 3098, 3113, 3112, 3322, 3323, 3338, 3337 2710, 3098, 3099, 3114, 3113, 3323, 3324, 3339, 3338 2711, 3099, 3100, 3115, 3114, 3324, 3325, 3340, 3339 2712, 3100, 3101, 3116, 3115, 3325, 3326, 3341, 3340 2713, 3101, 3102, 3117, 3116, 3326, 3327, 3342, 3341 2714, 3102, 3103, 3118, 3117, 3327, 3328, 3343, 3342 2715, 3103, 3104, 3119, 3118, 3328, 3329, 3344, 3343 2716, 3104, 3105, 3120, 3119, 3329, 3330, 3345, 3344 2717, 3106, 3107, 3122, 3121, 3331, 3332, 3347, 3346 2718, 3107, 3108, 3123, 3122, 3332, 3333, 3348, 3347 2719, 3108, 3109, 3124, 3123, 3333, 3334, 3349, 3348 2720, 3109, 3110, 3125, 3124, 3334, 3335, 3350, 3349 2721, 3110, 3111, 3126, 3125, 3335, 3336, 3351, 3350 2722, 3111, 3112, 3127, 3126, 3336, 3337, 3352, 3351 2723, 3112, 3113, 3128, 3127, 3337, 3338, 3353, 3352 2724, 3113, 3114, 3129, 3128, 3338, 3339, 3354, 3353 2725, 3114, 3115, 3130, 3129, 3339, 3340, 3355, 3354 2726, 3115, 3116, 3131, 3130, 3340, 3341, 3356, 3355 2727, 3116, 3117, 3132, 3131, 3341, 3342, 3357, 3356 2728, 3117, 3118, 3133, 3132, 3342, 3343, 3358, 3357 2729, 3118, 3119, 3134, 3133, 3343, 3344, 3359, 3358 2730, 3119, 3120, 3135, 3134, 3344, 3345, 3360, 3359 2731, 3121, 3122, 3137, 3136, 3346, 3347, 3362, 3361 2732, 3122, 3123, 3138, 3137, 3347, 3348, 3363, 3362 2733, 3123, 3124, 3139, 3138, 3348, 3349, 3364, 3363 2734, 3124, 3125, 3140, 3139, 3349, 3350, 3365, 3364 2735, 3125, 3126, 3141, 3140, 3350, 3351, 3366, 3365 2736, 3126, 3127, 3142, 3141, 3351, 3352, 3367, 3366 2737, 3127, 3128, 3143, 3142, 3352, 3353, 3368, 3367 2738, 3128, 3129, 3144, 3143, 3353, 3354, 3369, 3368 2739, 3129, 3130, 3145, 3144, 3354, 3355, 3370, 3369 2740, 3130, 3131, 3146, 3145, 3355, 3356, 3371, 3370 2741, 3131, 3132, 3147, 3146, 3356, 3357, 3372, 3371 2742, 3132, 3133, 3148, 3147, 3357, 3358, 3373, 3372 2743, 3133, 3134, 3149, 3148, 3358, 3359, 3374, 3373 2744, 3134, 3135, 3150, 3149, 3359, 3360, 3375, 3374 *Elset, elset=GRAIN-1 85, 86, 87, 88, 89, 99, 100, 101, 102 103, 104, 105, 106, 113, 114, 115, 116, 117 118, 119, 120, 127, 128, 129, 130, 131, 132 133, 134, 135, 141, 142, 143, 144, 145, 146 147, 148, 149, 155, 156, 157, 158, 159, 160 161, 162, 163, 169, 170, 171, 172, 173, 174 175, 176, 177, 183, 184, 185, 186, 187, 188 189, 190, 281, 282, 283, 284, 285, 286, 295 296, 297, 298, 299, 300, 301, 302, 309, 310 311, 312, 313, 314, 315, 316, 323, 324, 325 326, 327, 328, 329, 330, 331, 337, 338, 339 340, 341, 342, 343, 344, 345, 351, 352, 353 354, 355, 356, 357, 358, 359, 365, 366, 367 368, 369, 370, 371, 372, 373, 379, 380, 381 382, 383, 384, 385, 386, 387, 477, 478, 479 480, 481, 482, 483, 491, 492, 493, 494, 495 496, 497, 498, 505, 506, 507, 508, 509, 510 511, 512, 519, 520, 521, 522, 523, 524, 525 526, 527, 533, 534, 535, 536, 537, 538, 539 540, 541, 547, 548, 549, 550, 551, 552, 553 554, 555, 561, 562, 563, 564, 565, 566, 567 568, 569, 575, 576, 577, 578, 579, 580, 581 582, 583, 673, 674, 675, 676, 677, 678, 679 687, 688, 689, 690, 691, 692, 693, 701, 702 703, 704, 705, 706, 707, 708, 715, 716, 717 718, 719, 720, 721, 722, 723, 729, 730, 731 732, 733, 734, 735, 736, 737, 743, 744, 745 746, 747, 748, 749, 750, 751, 757, 758, 759 760, 761, 762, 763, 764, 765, 771, 772, 773 774, 775, 776, 777, 778, 779, 869, 870, 871 872, 873, 874, 883, 884, 885, 886, 887, 888 889, 897, 898, 899, 900, 901, 902, 903, 904 911, 912, 913, 914, 915, 916, 917, 918, 925 926, 927, 928, 929, 930, 931, 932, 939, 940 941, 942, 943, 944, 945, 946, 953, 954, 955 956, 957, 958, 959, 960, 967, 968, 969, 970 971, 972, 973, 974, 1066, 1067, 1068, 1069, 1079 1080, 1081, 1082, 1083, 1084, 1085, 1093, 1094, 1095 1096, 1097, 1098, 1099, 1107, 1108, 1109, 1110, 1111 1112, 1113, 1114, 1121, 1122, 1123, 1124, 1125, 1126 1127, 1128, 1135, 1136, 1137, 1138, 1139, 1140, 1141 1142, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1275, 1276 1277, 1278, 1279, 1280, 1289, 1290, 1291, 1292, 1293 1294, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1318 1319, 1320, 1321, 1322, 1323, 1333, 1334, 1335, 1336 1337, 1348, 1349, 1350, 1362, 1363, 1364 *Elset, elset=GRAIN-2 827, 841, 842, 855, 856, 981, 982, 995, 996 997, 1009, 1010, 1011, 1012, 1023, 1024, 1025, 1026 1037, 1038, 1039, 1040, 1041, 1051, 1052, 1053, 1054 1055, 1065, 1177, 1178, 1179, 1180, 1181, 1191, 1192 1193, 1194, 1195, 1196, 1205, 1206, 1207, 1208, 1209 1210, 1219, 1220, 1221, 1222, 1223, 1224, 1233, 1234 1235, 1236, 1237, 1238, 1247, 1248, 1249, 1250, 1251 1261, 1262, 1263, 1264, 1265, 1373, 1374, 1375, 1376 1377, 1387, 1388, 1389, 1390, 1391, 1401, 1402, 1403 1404, 1405, 1406, 1415, 1416, 1417, 1418, 1419, 1420 1429, 1430, 1431, 1432, 1433, 1434, 1443, 1444, 1445 1446, 1447, 1457, 1458, 1459, 1460, 1569, 1570, 1571 1572, 1583, 1584, 1585, 1586, 1597, 1598, 1599, 1600 1601, 1611, 1612, 1613, 1614, 1615, 1625, 1626, 1627 1628, 1629, 1639, 1640, 1641, 1642, 1653, 1765, 1766 1767, 1779, 1780, 1781, 1793, 1794, 1795, 1807, 1808 1809, 1810, 1821, 1822, 1823, 1824 *Elset, elset=GRAIN-3 2041, 2042, 2055, 2056, 2057, 2068, 2069, 2070, 2071 2083, 2236, 2237, 2238, 2239, 2240, 2250, 2251, 2252 2253, 2254, 2264, 2265, 2266, 2267, 2268, 2279, 2280 2432, 2433, 2434, 2435, 2436, 2446, 2447, 2448, 2449 2450, 2460, 2461, 2462, 2463, 2464, 2475, 2476, 2477 2628, 2629, 2630, 2631, 2632, 2642, 2643, 2644, 2645 2646, 2656, 2657, 2658, 2659, 2660, 2671, 2672, 2673 *Elset, elset=GRAIN-4 1324, 1338, 1339, 1351, 1352, 1353, 1365, 1366, 1367 1533, 1534, 1535, 1547, 1548, 1549, 1561, 1562, 1563 1729, 1730, 1731, 1743, 1744, 1745, 1757, 1758, 1759 *Elset, elset=GRAIN-5 907, 919, 920, 921, 933, 934, 1100, 1101, 1102 1103, 1115, 1116, 1117, 1129, 1130, 1131, 1144, 1298 1311, 1312, 1325, 1326 *Elset, elset=GRAIN-6 1295, 1296, 1297, 1310, 1478, 1479, 1491, 1492, 1493 1505, 1506, 1507, 1508, 1519, 1520, 1521, 1674, 1687 1688, 1689, 1701, 1702, 1703, 1704, 1716, 1717 *Elset, elset=GRAIN-7 1961, 1962, 1963, 1964, 1975, 1976, 1977, 1978, 1989 1990, 1991, 1992, 2003, 2004, 2005, 2006, 2017, 2018 2019, 2157, 2158, 2159, 2160, 2161, 2171, 2172, 2173 2174, 2175, 2185, 2186, 2187, 2188, 2189, 2199, 2200 2201, 2202, 2203, 2213, 2214, 2215, 2216, 2217, 2227 2228, 2229, 2353, 2354, 2355, 2356, 2357, 2367, 2368 2369, 2370, 2371, 2381, 2382, 2383, 2384, 2385, 2395 2396, 2397, 2398, 2399, 2409, 2410, 2411, 2412, 2413 2423, 2424, 2425, 2426, 2427, 2437, 2438, 2549, 2550 2551, 2552, 2553, 2563, 2564, 2565, 2566, 2567, 2577 2578, 2579, 2580, 2581, 2591, 2592, 2593, 2594, 2595 2605, 2606, 2607, 2608, 2609, 2619, 2620, 2621, 2622 2623, 2633, 2634, 2635, 2636 *Elset, elset=GRAIN-8 848, 849, 862, 863, 875, 876, 1030, 1031, 1043 1044, 1045, 1046, 1056, 1057, 1058, 1059, 1060, 1070 1071, 1072, 1073, 1074, 1086, 1087, 1225, 1239, 1240 1241, 1242, 1252, 1253, 1254, 1255, 1256, 1266, 1267 1268, 1269, 1281, 1282, 1283, 1435, 1436, 1449, 1450 1451, 1463, 1464, 1465 *Elset, elset=GRAIN-9 988, 989, 990, 1002, 1003, 1016, 1017, 1182, 1183 1184, 1185, 1186, 1197, 1198, 1199, 1200, 1211, 1212 1213, 1214, 1226, 1227, 1228, 1378, 1379, 1380, 1381 1382, 1393, 1394, 1395, 1396, 1407, 1408, 1409, 1410 1421, 1422, 1423, 1424, 1437, 1575, 1576, 1577, 1578 1579, 1589, 1590, 1591, 1592, 1604, 1605, 1606, 1618 1619, 1620, 1772, 1773, 1774, 1786, 1787, 1788, 1800 1801 *Elset, elset=GRAIN-10 1132, 1133, 1134, 1145, 1146, 1147, 1148, 1159, 1160 1161, 1162, 1173, 1174, 1175, 1176, 1313, 1314, 1315 1316, 1327, 1328, 1329, 1330, 1340, 1341, 1342, 1343 1344, 1354, 1355, 1356, 1357, 1358, 1368, 1369, 1370 1371, 1372, 1496, 1509, 1510, 1511, 1512, 1522, 1523 1524, 1525, 1526, 1536, 1537, 1538, 1539, 1540, 1550 1551, 1552, 1553, 1554, 1564, 1565, 1566, 1567, 1568 1705, 1706, 1707, 1708, 1718, 1719, 1720, 1721, 1722 1732, 1733, 1734, 1735, 1736, 1746, 1747, 1748, 1749 1750, 1760, 1761, 1762, 1763, 1764, 1915, 1916, 1929 1930, 1931, 1942, 1943, 1944, 1945, 1946, 1956, 1957 1958, 1959, 1960 *Elset, elset=GRAIN-11 110, 111, 112, 123, 124, 125, 126, 136, 137 138, 139, 140, 150, 151, 152, 153, 154, 164 165, 166, 167, 168, 178, 179, 180, 181, 182 191, 192, 193, 194, 195, 196, 306, 307, 308 319, 320, 321, 322, 332, 333, 334, 335, 336 346, 347, 348, 349, 350, 360, 361, 362, 363 364, 374, 375, 376, 377, 378, 388, 389, 390 391, 392, 503, 504, 515, 516, 517, 518, 528 529, 530, 531, 532, 542, 543, 544, 545, 546 556, 557, 558, 559, 560, 570, 571, 572, 573 574, 584, 585, 586, 587, 588, 712, 713, 714 724, 725, 726, 727, 728, 738, 739, 740, 741 742, 752, 753, 754, 755, 756, 766, 767, 768 769, 770, 780, 781, 782, 783, 784, 922, 923 924, 935, 936, 937, 938, 949, 950, 951, 952 963, 964, 965, 966, 977, 978, 979, 980 *Elset, elset=GRAIN-12 1392, 1573, 1574, 1587, 1588, 1602, 1603, 1616, 1617 1630, 1631, 1768, 1769, 1770, 1771, 1782, 1783, 1784 1785, 1796, 1797, 1798, 1799, 1811, 1812, 1813, 1825 1826, 1827, 1965, 1966, 1979, 1980, 1993, 1994, 2007 2008, 2021, 2022 *Elset, elset=GRAIN-13 699, 700, 881, 882, 894, 895, 896, 908, 909 910, 1076, 1077, 1078, 1090, 1091, 1092, 1104, 1105 1106, 1118, 1119, 1120, 1272, 1273, 1274, 1286, 1287 1288, 1300, 1301, 1302 *Elset, elset=GRAIN-14 79, 92, 93, 94, 95, 107, 108, 109, 121 122, 275, 288, 289, 290, 291, 303, 304, 305 317, 318, 471, 484, 485, 486, 487, 499, 500 501, 502, 513, 514, 667, 680, 681, 682, 683 694, 695, 696, 697, 698, 709, 710, 711, 864 877, 878, 879, 890, 891, 892, 893, 905, 906 *Elset, elset=GRAIN-15 1677, 1690, 1691, 1873, 1886, 1887, 1901 *Elset, elset=GRAIN-16 1075, 1088, 1089, 1270, 1271, 1284, 1285, 1299, 1466 1467, 1480, 1481, 1494, 1495 *Elset, elset=GRAIN-17 1715, 1882, 1883, 1884, 1885, 1896, 1897, 1898, 1899 1900, 1910, 1911, 1912, 1913, 1914, 1924, 1925, 1926 1927, 1928, 1938, 1939, 1940, 1941, 1953, 1954, 1955 2051, 2064, 2065, 2066, 2067, 2077, 2078, 2079, 2080 2081, 2082, 2091, 2092, 2093, 2094, 2095, 2096, 2105 2106, 2107, 2108, 2109, 2110, 2119, 2120, 2121, 2122 2123, 2124, 2133, 2134, 2135, 2136, 2137, 2138, 2147 2148, 2149, 2150, 2151, 2152, 2246, 2247, 2248, 2259 2260, 2261, 2262, 2263, 2272, 2273, 2274, 2275, 2276 2277, 2278, 2287, 2288, 2289, 2290, 2291, 2292, 2301 2302, 2303, 2304, 2305, 2306, 2315, 2316, 2317, 2318 2319, 2320, 2329, 2330, 2331, 2332, 2333, 2334, 2343 2344, 2345, 2346, 2347, 2348, 2441, 2442, 2443, 2444 2455, 2456, 2457, 2458, 2459, 2469, 2470, 2471, 2472 2473, 2474, 2483, 2484, 2485, 2486, 2487, 2488, 2497 2498, 2499, 2500, 2501, 2502, 2511, 2512, 2513, 2514 2515, 2516, 2525, 2526, 2527, 2528, 2529, 2530, 2539 2540, 2541, 2542, 2543, 2544, 2637, 2638, 2639, 2640 2641, 2651, 2652, 2653, 2654, 2655, 2665, 2666, 2667 2668, 2669, 2670, 2679, 2680, 2681, 2682, 2683, 2684 2685, 2693, 2694, 2695, 2696, 2697, 2698, 2707, 2708 2709, 2710, 2711, 2712, 2721, 2722, 2723, 2724, 2725 2726, 2735, 2736, 2737, 2738, 2739, 2740 *Elset, elset=GRAIN-18 1036, 1049, 1050, 1062, 1063, 1064, 1187, 1188, 1189 1190, 1201, 1202, 1203, 1204, 1215, 1216, 1217, 1218 1229, 1230, 1231, 1232, 1243, 1244, 1245, 1246, 1257 1258, 1259, 1260, 1383, 1384, 1385, 1386, 1397, 1398 1399, 1400, 1411, 1412, 1413, 1414, 1425, 1426, 1427 1428, 1439, 1440, 1441, 1442, 1453, 1454, 1455, 1456 1580, 1581, 1582, 1593, 1594, 1595, 1596, 1607, 1608 1609, 1610, 1621, 1622, 1623, 1624, 1635, 1636, 1637 1638 *Elset, elset=GRAIN-19 1, 2, 3, 4, 5, 6, 7, 8, 9 15, 16, 17, 18, 19, 20, 21, 22, 23 29, 30, 31, 32, 33, 34, 35, 36, 37 43, 44, 45, 46, 47, 48, 49, 50, 51 57, 58, 59, 60, 61, 62, 63, 64, 65 71, 72, 73, 74, 75, 76, 77, 78, 90 91, 197, 198, 199, 200, 201, 202, 203, 204 205, 211, 212, 213, 214, 215, 216, 217, 218 219, 225, 226, 227, 228, 229, 230, 231, 232 233, 239, 240, 241, 242, 243, 244, 245, 246 247, 253, 254, 255, 256, 257, 258, 259, 260 261, 267, 268, 269, 270, 271, 272, 273, 274 287, 393, 394, 395, 396, 397, 398, 399, 400 401, 407, 408, 409, 410, 411, 412, 413, 414 415, 421, 422, 423, 424, 425, 426, 427, 428 429, 435, 436, 437, 438, 439, 440, 441, 442 449, 450, 451, 452, 453, 454, 455, 456, 463 464, 465, 466, 467, 468, 469, 470, 589, 590 591, 592, 593, 594, 595, 596, 603, 604, 605 606, 607, 608, 609, 610, 617, 618, 619, 620 621, 622, 623, 624, 631, 632, 633, 634, 635 636, 637, 638, 645, 646, 647, 648, 649, 650 651, 652, 659, 660, 661, 662, 663, 664, 665 666, 785, 786, 787, 788, 789, 790, 791, 792 799, 800, 801, 802, 803, 804, 805, 806, 813 814, 815, 816, 817, 818, 819, 820, 828, 829 830, 831, 832, 833, 834, 843, 844, 845, 846 847, 857, 858, 859, 860, 861, 983, 984, 985 986, 987, 998, 999, 1000, 1001, 1013, 1014, 1015 1027, 1028, 1029, 1042 *Elset, elset=GRAIN-20 10, 11, 12, 13, 14, 24, 25, 26, 27 28, 38, 39, 40, 41, 42, 52, 53, 54 55, 56, 66, 67, 68, 69, 70, 80, 81 82, 83, 84, 96, 97, 98, 206, 207, 208 209, 210, 220, 221, 222, 223, 224, 234, 235 236, 237, 238, 248, 249, 250, 251, 252, 262 263, 264, 265, 266, 276, 277, 278, 279, 280 292, 293, 294, 402, 403, 404, 405, 406, 416 417, 418, 419, 420, 430, 431, 432, 433, 434 443, 444, 445, 446, 447, 448, 457, 458, 459 460, 461, 462, 472, 473, 474, 475, 476, 488 489, 490, 597, 598, 599, 600, 601, 602, 611 612, 613, 614, 615, 616, 625, 626, 627, 628 629, 630, 639, 640, 641, 642, 643, 644, 653 654, 655, 656, 657, 658, 668, 669, 670, 671 672, 684, 685, 686, 793, 794, 795, 796, 797 798, 807, 808, 809, 810, 811, 812, 821, 822 823, 824, 825, 826, 835, 836, 837, 838, 839 840, 850, 851, 852, 853, 854, 865, 866, 867 868, 880, 991, 992, 993, 994, 1004, 1005, 1006 1007, 1008, 1018, 1019, 1020, 1021, 1022, 1032, 1033 1034, 1035, 1047, 1048, 1061 *Elset, elset=GRAIN-21 1775, 1776, 1777, 1778, 1789, 1790, 1791, 1792, 1802 1803, 1804, 1805, 1806, 1817, 1818, 1819, 1820, 1832 1833, 1834, 1970, 1971, 1972, 1973, 1974, 1984, 1985 1986, 1987, 1988, 1998, 1999, 2000, 2001, 2002, 2012 2013, 2014, 2015, 2016, 2027, 2028, 2029, 2030, 2043 2044, 2166, 2167, 2168, 2169, 2170, 2180, 2181, 2182 2183, 2184, 2194, 2195, 2196, 2197, 2198, 2209, 2210 2211, 2212, 2223, 2224, 2225, 2226, 2362, 2363, 2364 2365, 2366, 2376, 2377, 2378, 2379, 2380, 2391, 2392 2393, 2394, 2405, 2406, 2407, 2408, 2419, 2420, 2421 2422, 2558, 2559, 2560, 2561, 2562, 2572, 2573, 2574 2575, 2576, 2587, 2588, 2589, 2590, 2601, 2602, 2603 2604, 2615, 2616, 2617, 2618 *Elset, elset=GRAIN-22 1468, 1469, 1470, 1482, 1483, 1484, 1497, 1498, 1650 1651, 1652, 1664, 1665, 1666, 1678, 1679, 1680, 1692 1693, 1694, 1846, 1847, 1848, 1860, 1861, 1862, 1874 1875, 1876, 1888, 1889, 1890, 2058, 2072 *Elset, elset=GRAIN-23 1438, 1452, 1632, 1633, 1634, 1646, 1647, 1648, 1649 1660, 1661, 1662, 1663, 1675, 1676, 1815, 1816, 1828 1829, 1830, 1831, 1842, 1843, 1844, 1845, 1856, 1857 1858, 1859, 1870, 1871, 1872, 2026, 2039, 2040, 2052 2053, 2054 *Elset, elset=GRAIN-24 947, 948, 961, 962, 975, 976, 1143, 1157, 1158 1170, 1171, 1172 *Elset, elset=GRAIN-25 1814, 1967, 1968, 1969, 1981, 1982, 1983, 1995, 1996 1997, 2009, 2010, 2011, 2023, 2024, 2025, 2036, 2037 2038, 2162, 2163, 2164, 2165, 2176, 2177, 2178, 2179 2190, 2191, 2192, 2193, 2204, 2205, 2206, 2207, 2208 2218, 2219, 2220, 2221, 2222, 2232, 2233, 2234, 2235 2249, 2358, 2359, 2360, 2361, 2372, 2373, 2374, 2375 2386, 2387, 2388, 2389, 2390, 2400, 2401, 2402, 2403 2404, 2414, 2415, 2416, 2417, 2418, 2428, 2429, 2430 2431, 2445, 2554, 2555, 2556, 2557, 2568, 2569, 2570 2571, 2582, 2583, 2584, 2585, 2586, 2596, 2597, 2598 2599, 2600, 2610, 2611, 2612, 2613, 2614, 2624, 2625 2626, 2627 *Elset, elset=GRAIN-26 1902, 1903, 1904, 1917, 1918, 1932, 2084, 2085, 2086 2097, 2098, 2099, 2100, 2111, 2112, 2113, 2114, 2125 2126, 2127, 2128, 2139, 2140, 2141, 2142, 2153, 2154 2155, 2156, 2281, 2282, 2293, 2294, 2295, 2296, 2307 2308, 2309, 2310, 2321, 2322, 2323, 2324, 2335, 2336 2337, 2338, 2349, 2350, 2351, 2352, 2478, 2489, 2490 2491, 2492, 2503, 2504, 2505, 2506, 2517, 2518, 2519 2520, 2531, 2532, 2533, 2534, 2545, 2546, 2547, 2548 2674, 2686, 2687, 2688, 2699, 2700, 2701, 2702, 2713 2714, 2715, 2716, 2727, 2728, 2729, 2730, 2741, 2742 2743, 2744 *Elset, elset=GRAIN-27 1317, 1331, 1332, 1345, 1346, 1347, 1359, 1360, 1361 1471, 1472, 1473, 1474, 1485, 1486, 1487, 1488, 1489 1499, 1500, 1501, 1502, 1503, 1504, 1513, 1514, 1515 1516, 1517, 1518, 1527, 1528, 1529, 1530, 1531, 1532 1541, 1542, 1543, 1544, 1545, 1546, 1555, 1556, 1557 1558, 1559, 1560, 1667, 1668, 1669, 1670, 1681, 1682 1683, 1684, 1685, 1695, 1696, 1697, 1698, 1699, 1700 1709, 1710, 1711, 1712, 1713, 1714, 1723, 1724, 1725 1726, 1727, 1728, 1737, 1738, 1739, 1740, 1741, 1742 1751, 1752, 1753, 1754, 1755, 1756, 1877, 1878, 1879 1880, 1881, 1891, 1892, 1893, 1894, 1895, 1905, 1906 1907, 1908, 1909, 1919, 1920, 1921, 1922, 1923, 1933 1934, 1935, 1936, 1937, 1947, 1948, 1949, 1950, 1951 1952, 2088, 2089, 2090, 2102, 2103, 2104, 2115, 2116 2117, 2118, 2129, 2130, 2131, 2132, 2143, 2144, 2145 2146 *Elset, elset=GRAIN-28 1654, 1655, 1656, 1835, 1836, 1837, 1838, 1839, 1849 1850, 1851, 1852, 1853, 1863, 1864, 1865, 1866, 1867 2020, 2031, 2032, 2033, 2034, 2035, 2045, 2046, 2047 2048, 2049, 2059, 2060, 2061, 2062, 2063, 2075, 2076 2230, 2231, 2241, 2242, 2243, 2244, 2245, 2257, 2258 2439, 2440 *Elset, elset=GRAIN-29 2073, 2074, 2087, 2101, 2255, 2256, 2269, 2270, 2271 2283, 2284, 2285, 2286, 2297, 2298, 2299, 2300, 2311 2312, 2313, 2314, 2325, 2326, 2327, 2328, 2339, 2340 2341, 2342, 2451, 2452, 2453, 2454, 2465, 2466, 2467 2468, 2479, 2480, 2481, 2482, 2493, 2494, 2495, 2496 2507, 2508, 2509, 2510, 2521, 2522, 2523, 2524, 2535 2536, 2537, 2538, 2647, 2648, 2649, 2650, 2661, 2662 2663, 2664, 2675, 2676, 2677, 2678, 2689, 2690, 2691 2692, 2703, 2704, 2705, 2706, 2717, 2718, 2719, 2720 2731, 2732, 2733, 2734 *Elset, elset=GRAIN-30 1448, 1461, 1462, 1475, 1476, 1477, 1490, 1643, 1644 1645, 1657, 1658, 1659, 1671, 1672, 1673, 1686, 1840 1841, 1854, 1855, 1868, 1869, 2050 *Elset, elset=Phase-1 1, 2, 3, 4, 5, 6, 7, 8, 9 10, 11, 12, 13, 14, 15, 16, 17, 18 19, 20, 21, 22, 23, 24, 25, 26, 27 28, 29, 30, 31, 32, 33, 34, 35, 36 37, 38, 39, 40, 41, 42, 43, 44, 45 46, 47, 48, 49, 50, 51, 52, 53, 54 55, 56, 57, 58, 59, 60, 61, 62, 63 64, 65, 66, 67, 68, 69, 70, 71, 72 73, 74, 75, 76, 77, 78, 79, 80, 81 82, 83, 84, 85, 86, 87, 88, 89, 90 91, 92, 93, 94, 95, 96, 97, 98, 99 100, 101, 102, 103, 104, 105, 106, 107, 108 109, 110, 111, 112, 113, 114, 115, 116, 117 118, 119, 120, 121, 122, 123, 124, 125, 126 127, 128, 129, 130, 131, 132, 133, 134, 135 136, 137, 138, 139, 140, 141, 142, 143, 144 145, 146, 147, 148, 149, 150, 151, 152, 153 154, 155, 156, 157, 158, 159, 160, 161, 162 163, 164, 165, 166, 167, 168, 169, 170, 171 172, 173, 174, 175, 176, 177, 178, 179, 180 181, 182, 183, 184, 185, 186, 187, 188, 189 190, 191, 192, 193, 194, 195, 196, 197, 198 199, 200, 201, 202, 203, 204, 205, 206, 207 208, 209, 210, 211, 212, 213, 214, 215, 216 217, 218, 219, 220, 221, 222, 223, 224, 225 226, 227, 228, 229, 230, 231, 232, 233, 234 235, 236, 237, 238, 239, 240, 241, 242, 243 244, 245, 246, 247, 248, 249, 250, 251, 252 253, 254, 255, 256, 257, 258, 259, 260, 261 262, 263, 264, 265, 266, 267, 268, 269, 270 271, 272, 273, 274, 275, 276, 277, 278, 279 280, 281, 282, 283, 284, 285, 286, 287, 288 289, 290, 291, 292, 293, 294, 295, 296, 297 298, 299, 300, 301, 302, 303, 304, 305, 306 307, 308, 309, 310, 311, 312, 313, 314, 315 316, 317, 318, 319, 320, 321, 322, 323, 324 325, 326, 327, 328, 329, 330, 331, 332, 333 334, 335, 336, 337, 338, 339, 340, 341, 342 343, 344, 345, 346, 347, 348, 349, 350, 351 352, 353, 354, 355, 356, 357, 358, 359, 360 361, 362, 363, 364, 365, 366, 367, 368, 369 370, 371, 372, 373, 374, 375, 376, 377, 378 379, 380, 381, 382, 383, 384, 385, 386, 387 388, 389, 390, 391, 392, 393, 394, 395, 396 397, 398, 399, 400, 401, 402, 403, 404, 405 406, 407, 408, 409, 410, 411, 412, 413, 414 415, 416, 417, 418, 419, 420, 421, 422, 423 424, 425, 426, 427, 428, 429, 430, 431, 432 433, 434, 435, 436, 437, 438, 439, 440, 441 442, 443, 444, 445, 446, 447, 448, 449, 450 451, 452, 453, 454, 455, 456, 457, 458, 459 460, 461, 462, 463, 464, 465, 466, 467, 468 469, 470, 471, 472, 473, 474, 475, 476, 477 478, 479, 480, 481, 482, 483, 484, 485, 486 487, 488, 489, 490, 491, 492, 493, 494, 495 496, 497, 498, 499, 500, 501, 502, 503, 504 505, 506, 507, 508, 509, 510, 511, 512, 513 514, 515, 516, 517, 518, 519, 520, 521, 522 523, 524, 525, 526, 527, 528, 529, 530, 531 532, 533, 534, 535, 536, 537, 538, 539, 540 541, 542, 543, 544, 545, 546, 547, 548, 549 550, 551, 552, 553, 554, 555, 556, 557, 558 559, 560, 561, 562, 563, 564, 565, 566, 567 568, 569, 570, 571, 572, 573, 574, 575, 576 577, 578, 579, 580, 581, 582, 583, 584, 585 586, 587, 588, 589, 590, 591, 592, 593, 594 595, 596, 597, 598, 599, 600, 601, 602, 603 604, 605, 606, 607, 608, 609, 610, 611, 612 613, 614, 615, 616, 617, 618, 619, 620, 621 622, 623, 624, 625, 626, 627, 628, 629, 630 631, 632, 633, 634, 635, 636, 637, 638, 639 640, 641, 642, 643, 644, 645, 646, 647, 648 649, 650, 651, 652, 653, 654, 655, 656, 657 658, 659, 660, 661, 662, 663, 664, 665, 666 667, 668, 669, 670, 671, 672, 673, 674, 675 676, 677, 678, 679, 680, 681, 682, 683, 684 685, 686, 687, 688, 689, 690, 691, 692, 693 694, 695, 696, 697, 698, 699, 700, 701, 702 703, 704, 705, 706, 707, 708, 709, 710, 711 712, 713, 714, 715, 716, 717, 718, 719, 720 721, 722, 723, 724, 725, 726, 727, 728, 729 730, 731, 732, 733, 734, 735, 736, 737, 738 739, 740, 741, 742, 743, 744, 745, 746, 747 748, 749, 750, 751, 752, 753, 754, 755, 756 757, 758, 759, 760, 761, 762, 763, 764, 765 766, 767, 768, 769, 770, 771, 772, 773, 774 775, 776, 777, 778, 779, 780, 781, 782, 783 784, 785, 786, 787, 788, 789, 790, 791, 792 793, 794, 795, 796, 797, 798, 799, 800, 801 802, 803, 804, 805, 806, 807, 808, 809, 810 811, 812, 813, 814, 815, 816, 817, 818, 819 820, 821, 822, 823, 824, 825, 826, 827, 828 829, 830, 831, 832, 833, 834, 835, 836, 837 838, 839, 840, 841, 842, 843, 844, 845, 846 847, 848, 849, 850, 851, 852, 853, 854, 855 856, 857, 858, 859, 860, 861, 862, 863, 864 865, 866, 867, 868, 869, 870, 871, 872, 873 874, 875, 876, 877, 878, 879, 880, 881, 882 883, 884, 885, 886, 887, 888, 889, 890, 891 892, 893, 894, 895, 896, 897, 898, 899, 900 901, 902, 903, 904, 905, 906, 907, 908, 909 910, 911, 912, 913, 914, 915, 916, 917, 918 919, 920, 921, 922, 923, 924, 925, 926, 927 928, 929, 930, 931, 932, 933, 934, 935, 936 937, 938, 939, 940, 941, 942, 943, 944, 945 946, 947, 948, 949, 950, 951, 952, 953, 954 955, 956, 957, 958, 959, 960, 961, 962, 963 964, 965, 966, 967, 968, 969, 970, 971, 972 973, 974, 975, 976, 977, 978, 979, 980, 981 982, 983, 984, 985, 986, 987, 988, 989, 990 991, 992, 993, 994, 995, 996, 997, 998, 999 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744 **Section: Section_Grain-1 *Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1 , **Section: Section_Grain-2 *Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2 , **Section: Section_Grain-3 *Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3 , **Section: Section_Grain-4 *Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4 , **Section: Section_Grain-5 *Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5 , **Section: Section_Grain-6 *Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6 , **Section: Section_Grain-7 *Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7 , **Section: Section_Grain-8 *Solid Section, elset=GRAIN-8, material=MATERIAL-GRAIN8 , **Section: Section_Grain-9 *Solid Section, elset=GRAIN-9, material=MATERIAL-GRAIN9 , **Section: Section_Grain-10 *Solid Section, elset=GRAIN-10, material=MATERIAL-GRAIN10 , **Section: Section_Grain-11 *Solid Section, elset=GRAIN-11, material=MATERIAL-GRAIN11 , **Section: Section_Grain-12 *Solid Section, elset=GRAIN-12, material=MATERIAL-GRAIN12 , **Section: Section_Grain-13 *Solid Section, elset=GRAIN-13, material=MATERIAL-GRAIN13 , **Section: Section_Grain-14 *Solid Section, elset=GRAIN-14, material=MATERIAL-GRAIN14 , **Section: Section_Grain-15 *Solid Section, elset=GRAIN-15, material=MATERIAL-GRAIN15 , **Section: Section_Grain-16 *Solid Section, elset=GRAIN-16, material=MATERIAL-GRAIN16 , **Section: Section_Grain-17 *Solid Section, elset=GRAIN-17, material=MATERIAL-GRAIN17 , **Section: Section_Grain-18 *Solid Section, elset=GRAIN-18, material=MATERIAL-GRAIN18 , **Section: Section_Grain-19 *Solid Section, elset=GRAIN-19, material=MATERIAL-GRAIN19 , **Section: Section_Grain-20 *Solid Section, elset=GRAIN-20, material=MATERIAL-GRAIN20 , **Section: Section_Grain-21 *Solid Section, elset=GRAIN-21, material=MATERIAL-GRAIN21 , **Section: Section_Grain-22 *Solid Section, elset=GRAIN-22, material=MATERIAL-GRAIN22 , **Section: Section_Grain-23 *Solid Section, elset=GRAIN-23, material=MATERIAL-GRAIN23 , **Section: Section_Grain-24 *Solid Section, elset=GRAIN-24, material=MATERIAL-GRAIN24 , **Section: Section_Grain-25 *Solid Section, elset=GRAIN-25, material=MATERIAL-GRAIN25 , **Section: Section_Grain-26 *Solid Section, elset=GRAIN-26, material=MATERIAL-GRAIN26 , **Section: Section_Grain-27 *Solid Section, elset=GRAIN-27, material=MATERIAL-GRAIN27 , **Section: Section_Grain-28 *Solid Section, elset=GRAIN-28, material=MATERIAL-GRAIN28 , **Section: Section_Grain-29 *Solid Section, elset=GRAIN-29, material=MATERIAL-GRAIN29 , **Section: Section_Grain-30 *Solid Section, elset=GRAIN-30, material=MATERIAL-GRAIN30 , *End Part ** **ASSEMBLY ** *Assembly, name=Assembly ** *Instance, name=NEPER-1, part=NEPER *NODE 1, 0.000000e+00, 0.000000e+00, 0.000000e+00 2, 7.142857e-02, 0.000000e+00, 0.000000e+00 3, 1.428571e-01, 0.000000e+00, 0.000000e+00 4, 2.142857e-01, 0.000000e+00, 0.000000e+00 5, 2.857143e-01, 0.000000e+00, 0.000000e+00 6, 3.571429e-01, 0.000000e+00, 0.000000e+00 7, 4.285714e-01, 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5.714286e-01 1813, 8.571429e-01, 0.000000e+00, 5.714286e-01 1814, 9.285714e-01, 0.000000e+00, 5.714286e-01 1815, 1.000000e+00, 0.000000e+00, 5.714286e-01 1816, 0.000000e+00, 7.142857e-02, 5.714286e-01 1817, 7.142857e-02, 7.142857e-02, 5.714286e-01 1818, 1.428571e-01, 7.142857e-02, 5.714286e-01 1819, 2.142857e-01, 7.142857e-02, 5.714286e-01 1820, 2.857143e-01, 7.142857e-02, 5.714286e-01 1821, 3.571429e-01, 7.142857e-02, 5.714286e-01 1822, 4.285714e-01, 7.142857e-02, 5.714286e-01 1823, 5.000000e-01, 7.142857e-02, 5.714286e-01 1824, 5.714286e-01, 7.142857e-02, 5.714286e-01 1825, 6.428571e-01, 7.142857e-02, 5.714286e-01 1826, 7.142857e-01, 7.142857e-02, 5.714286e-01 1827, 7.857143e-01, 7.142857e-02, 5.714286e-01 1828, 8.571429e-01, 7.142857e-02, 5.714286e-01 1829, 9.285714e-01, 7.142857e-02, 5.714286e-01 1830, 1.000000e+00, 7.142857e-02, 5.714286e-01 1831, 0.000000e+00, 1.428571e-01, 5.714286e-01 1832, 7.142857e-02, 1.428571e-01, 5.714286e-01 1833, 1.428571e-01, 1.428571e-01, 5.714286e-01 1834, 2.142857e-01, 1.428571e-01, 5.714286e-01 1835, 2.857143e-01, 1.428571e-01, 5.714286e-01 1836, 3.571429e-01, 1.428571e-01, 5.714286e-01 1837, 4.285714e-01, 1.428571e-01, 5.714286e-01 1838, 5.000000e-01, 1.428571e-01, 5.714286e-01 1839, 5.714286e-01, 1.428571e-01, 5.714286e-01 1840, 6.428571e-01, 1.428571e-01, 5.714286e-01 1841, 7.142857e-01, 1.428571e-01, 5.714286e-01 1842, 7.857143e-01, 1.428571e-01, 5.714286e-01 1843, 8.571429e-01, 1.428571e-01, 5.714286e-01 1844, 9.285714e-01, 1.428571e-01, 5.714286e-01 1845, 1.000000e+00, 1.428571e-01, 5.714286e-01 1846, 0.000000e+00, 2.142857e-01, 5.714286e-01 1847, 7.142857e-02, 2.142857e-01, 5.714286e-01 1848, 1.428571e-01, 2.142857e-01, 5.714286e-01 1849, 2.142857e-01, 2.142857e-01, 5.714286e-01 1850, 2.857143e-01, 2.142857e-01, 5.714286e-01 1851, 3.571429e-01, 2.142857e-01, 5.714286e-01 1852, 4.285714e-01, 2.142857e-01, 5.714286e-01 1853, 5.000000e-01, 2.142857e-01, 5.714286e-01 1854, 5.714286e-01, 2.142857e-01, 5.714286e-01 1855, 6.428571e-01, 2.142857e-01, 5.714286e-01 1856, 7.142857e-01, 2.142857e-01, 5.714286e-01 1857, 7.857143e-01, 2.142857e-01, 5.714286e-01 1858, 8.571429e-01, 2.142857e-01, 5.714286e-01 1859, 9.285714e-01, 2.142857e-01, 5.714286e-01 1860, 1.000000e+00, 2.142857e-01, 5.714286e-01 1861, 0.000000e+00, 2.857143e-01, 5.714286e-01 1862, 7.142857e-02, 2.857143e-01, 5.714286e-01 1863, 1.428571e-01, 2.857143e-01, 5.714286e-01 1864, 2.142857e-01, 2.857143e-01, 5.714286e-01 1865, 2.857143e-01, 2.857143e-01, 5.714286e-01 1866, 3.571429e-01, 2.857143e-01, 5.714286e-01 1867, 4.285714e-01, 2.857143e-01, 5.714286e-01 1868, 5.000000e-01, 2.857143e-01, 5.714286e-01 1869, 5.714286e-01, 2.857143e-01, 5.714286e-01 1870, 6.428571e-01, 2.857143e-01, 5.714286e-01 1871, 7.142857e-01, 2.857143e-01, 5.714286e-01 1872, 7.857143e-01, 2.857143e-01, 5.714286e-01 1873, 8.571429e-01, 2.857143e-01, 5.714286e-01 1874, 9.285714e-01, 2.857143e-01, 5.714286e-01 1875, 1.000000e+00, 2.857143e-01, 5.714286e-01 1876, 0.000000e+00, 3.571429e-01, 5.714286e-01 1877, 7.142857e-02, 3.571429e-01, 5.714286e-01 1878, 1.428571e-01, 3.571429e-01, 5.714286e-01 1879, 2.142857e-01, 3.571429e-01, 5.714286e-01 1880, 2.857143e-01, 3.571429e-01, 5.714286e-01 1881, 3.571429e-01, 3.571429e-01, 5.714286e-01 1882, 4.285714e-01, 3.571429e-01, 5.714286e-01 1883, 5.000000e-01, 3.571429e-01, 5.714286e-01 1884, 5.714286e-01, 3.571429e-01, 5.714286e-01 1885, 6.428571e-01, 3.571429e-01, 5.714286e-01 1886, 7.142857e-01, 3.571429e-01, 5.714286e-01 1887, 7.857143e-01, 3.571429e-01, 5.714286e-01 1888, 8.571429e-01, 3.571429e-01, 5.714286e-01 1889, 9.285714e-01, 3.571429e-01, 5.714286e-01 1890, 1.000000e+00, 3.571429e-01, 5.714286e-01 1891, 0.000000e+00, 4.285714e-01, 5.714286e-01 1892, 7.142857e-02, 4.285714e-01, 5.714286e-01 1893, 1.428571e-01, 4.285714e-01, 5.714286e-01 1894, 2.142857e-01, 4.285714e-01, 5.714286e-01 1895, 2.857143e-01, 4.285714e-01, 5.714286e-01 1896, 3.571429e-01, 4.285714e-01, 5.714286e-01 1897, 4.285714e-01, 4.285714e-01, 5.714286e-01 1898, 5.000000e-01, 4.285714e-01, 5.714286e-01 1899, 5.714286e-01, 4.285714e-01, 5.714286e-01 1900, 6.428571e-01, 4.285714e-01, 5.714286e-01 1901, 7.142857e-01, 4.285714e-01, 5.714286e-01 1902, 7.857143e-01, 4.285714e-01, 5.714286e-01 1903, 8.571429e-01, 4.285714e-01, 5.714286e-01 1904, 9.285714e-01, 4.285714e-01, 5.714286e-01 1905, 1.000000e+00, 4.285714e-01, 5.714286e-01 1906, 0.000000e+00, 5.000000e-01, 5.714286e-01 1907, 7.142857e-02, 5.000000e-01, 5.714286e-01 1908, 1.428571e-01, 5.000000e-01, 5.714286e-01 1909, 2.142857e-01, 5.000000e-01, 5.714286e-01 1910, 2.857143e-01, 5.000000e-01, 5.714286e-01 1911, 3.571429e-01, 5.000000e-01, 5.714286e-01 1912, 4.285714e-01, 5.000000e-01, 5.714286e-01 1913, 5.000000e-01, 5.000000e-01, 5.714286e-01 1914, 5.714286e-01, 5.000000e-01, 5.714286e-01 1915, 6.428571e-01, 5.000000e-01, 5.714286e-01 1916, 7.142857e-01, 5.000000e-01, 5.714286e-01 1917, 7.857143e-01, 5.000000e-01, 5.714286e-01 1918, 8.571429e-01, 5.000000e-01, 5.714286e-01 1919, 9.285714e-01, 5.000000e-01, 5.714286e-01 1920, 1.000000e+00, 5.000000e-01, 5.714286e-01 1921, 0.000000e+00, 5.714286e-01, 5.714286e-01 1922, 7.142857e-02, 5.714286e-01, 5.714286e-01 1923, 1.428571e-01, 5.714286e-01, 5.714286e-01 1924, 2.142857e-01, 5.714286e-01, 5.714286e-01 1925, 2.857143e-01, 5.714286e-01, 5.714286e-01 1926, 3.571429e-01, 5.714286e-01, 5.714286e-01 1927, 4.285714e-01, 5.714286e-01, 5.714286e-01 1928, 5.000000e-01, 5.714286e-01, 5.714286e-01 1929, 5.714286e-01, 5.714286e-01, 5.714286e-01 1930, 6.428571e-01, 5.714286e-01, 5.714286e-01 1931, 7.142857e-01, 5.714286e-01, 5.714286e-01 1932, 7.857143e-01, 5.714286e-01, 5.714286e-01 1933, 8.571429e-01, 5.714286e-01, 5.714286e-01 1934, 9.285714e-01, 5.714286e-01, 5.714286e-01 1935, 1.000000e+00, 5.714286e-01, 5.714286e-01 1936, 0.000000e+00, 6.428571e-01, 5.714286e-01 1937, 7.142857e-02, 6.428571e-01, 5.714286e-01 1938, 1.428571e-01, 6.428571e-01, 5.714286e-01 1939, 2.142857e-01, 6.428571e-01, 5.714286e-01 1940, 2.857143e-01, 6.428571e-01, 5.714286e-01 1941, 3.571429e-01, 6.428571e-01, 5.714286e-01 1942, 4.285714e-01, 6.428571e-01, 5.714286e-01 1943, 5.000000e-01, 6.428571e-01, 5.714286e-01 1944, 5.714286e-01, 6.428571e-01, 5.714286e-01 1945, 6.428571e-01, 6.428571e-01, 5.714286e-01 1946, 7.142857e-01, 6.428571e-01, 5.714286e-01 1947, 7.857143e-01, 6.428571e-01, 5.714286e-01 1948, 8.571429e-01, 6.428571e-01, 5.714286e-01 1949, 9.285714e-01, 6.428571e-01, 5.714286e-01 1950, 1.000000e+00, 6.428571e-01, 5.714286e-01 1951, 0.000000e+00, 7.142857e-01, 5.714286e-01 1952, 7.142857e-02, 7.142857e-01, 5.714286e-01 1953, 1.428571e-01, 7.142857e-01, 5.714286e-01 1954, 2.142857e-01, 7.142857e-01, 5.714286e-01 1955, 2.857143e-01, 7.142857e-01, 5.714286e-01 1956, 3.571429e-01, 7.142857e-01, 5.714286e-01 1957, 4.285714e-01, 7.142857e-01, 5.714286e-01 1958, 5.000000e-01, 7.142857e-01, 5.714286e-01 1959, 5.714286e-01, 7.142857e-01, 5.714286e-01 1960, 6.428571e-01, 7.142857e-01, 5.714286e-01 1961, 7.142857e-01, 7.142857e-01, 5.714286e-01 1962, 7.857143e-01, 7.142857e-01, 5.714286e-01 1963, 8.571429e-01, 7.142857e-01, 5.714286e-01 1964, 9.285714e-01, 7.142857e-01, 5.714286e-01 1965, 1.000000e+00, 7.142857e-01, 5.714286e-01 1966, 0.000000e+00, 7.857143e-01, 5.714286e-01 1967, 7.142857e-02, 7.857143e-01, 5.714286e-01 1968, 1.428571e-01, 7.857143e-01, 5.714286e-01 1969, 2.142857e-01, 7.857143e-01, 5.714286e-01 1970, 2.857143e-01, 7.857143e-01, 5.714286e-01 1971, 3.571429e-01, 7.857143e-01, 5.714286e-01 1972, 4.285714e-01, 7.857143e-01, 5.714286e-01 1973, 5.000000e-01, 7.857143e-01, 5.714286e-01 1974, 5.714286e-01, 7.857143e-01, 5.714286e-01 1975, 6.428571e-01, 7.857143e-01, 5.714286e-01 1976, 7.142857e-01, 7.857143e-01, 5.714286e-01 1977, 7.857143e-01, 7.857143e-01, 5.714286e-01 1978, 8.571429e-01, 7.857143e-01, 5.714286e-01 1979, 9.285714e-01, 7.857143e-01, 5.714286e-01 1980, 1.000000e+00, 7.857143e-01, 5.714286e-01 1981, 0.000000e+00, 8.571429e-01, 5.714286e-01 1982, 7.142857e-02, 8.571429e-01, 5.714286e-01 1983, 1.428571e-01, 8.571429e-01, 5.714286e-01 1984, 2.142857e-01, 8.571429e-01, 5.714286e-01 1985, 2.857143e-01, 8.571429e-01, 5.714286e-01 1986, 3.571429e-01, 8.571429e-01, 5.714286e-01 1987, 4.285714e-01, 8.571429e-01, 5.714286e-01 1988, 5.000000e-01, 8.571429e-01, 5.714286e-01 1989, 5.714286e-01, 8.571429e-01, 5.714286e-01 1990, 6.428571e-01, 8.571429e-01, 5.714286e-01 1991, 7.142857e-01, 8.571429e-01, 5.714286e-01 1992, 7.857143e-01, 8.571429e-01, 5.714286e-01 1993, 8.571429e-01, 8.571429e-01, 5.714286e-01 1994, 9.285714e-01, 8.571429e-01, 5.714286e-01 1995, 1.000000e+00, 8.571429e-01, 5.714286e-01 1996, 0.000000e+00, 9.285714e-01, 5.714286e-01 1997, 7.142857e-02, 9.285714e-01, 5.714286e-01 1998, 1.428571e-01, 9.285714e-01, 5.714286e-01 1999, 2.142857e-01, 9.285714e-01, 5.714286e-01 2000, 2.857143e-01, 9.285714e-01, 5.714286e-01 2001, 3.571429e-01, 9.285714e-01, 5.714286e-01 2002, 4.285714e-01, 9.285714e-01, 5.714286e-01 2003, 5.000000e-01, 9.285714e-01, 5.714286e-01 2004, 5.714286e-01, 9.285714e-01, 5.714286e-01 2005, 6.428571e-01, 9.285714e-01, 5.714286e-01 2006, 7.142857e-01, 9.285714e-01, 5.714286e-01 2007, 7.857143e-01, 9.285714e-01, 5.714286e-01 2008, 8.571429e-01, 9.285714e-01, 5.714286e-01 2009, 9.285714e-01, 9.285714e-01, 5.714286e-01 2010, 1.000000e+00, 9.285714e-01, 5.714286e-01 2011, 0.000000e+00, 1.000000e+00, 5.714286e-01 2012, 7.142857e-02, 1.000000e+00, 5.714286e-01 2013, 1.428571e-01, 1.000000e+00, 5.714286e-01 2014, 2.142857e-01, 1.000000e+00, 5.714286e-01 2015, 2.857143e-01, 1.000000e+00, 5.714286e-01 2016, 3.571429e-01, 1.000000e+00, 5.714286e-01 2017, 4.285714e-01, 1.000000e+00, 5.714286e-01 2018, 5.000000e-01, 1.000000e+00, 5.714286e-01 2019, 5.714286e-01, 1.000000e+00, 5.714286e-01 2020, 6.428571e-01, 1.000000e+00, 5.714286e-01 2021, 7.142857e-01, 1.000000e+00, 5.714286e-01 2022, 7.857143e-01, 1.000000e+00, 5.714286e-01 2023, 8.571429e-01, 1.000000e+00, 5.714286e-01 2024, 9.285714e-01, 1.000000e+00, 5.714286e-01 2025, 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7.857143e-01, 1.000000e+00 3322, 4.285714e-01, 7.857143e-01, 1.000000e+00 3323, 5.000000e-01, 7.857143e-01, 1.000000e+00 3324, 5.714286e-01, 7.857143e-01, 1.000000e+00 3325, 6.428571e-01, 7.857143e-01, 1.000000e+00 3326, 7.142857e-01, 7.857143e-01, 1.000000e+00 3327, 7.857143e-01, 7.857143e-01, 1.000000e+00 3328, 8.571429e-01, 7.857143e-01, 1.000000e+00 3329, 9.285714e-01, 7.857143e-01, 1.000000e+00 3330, 1.000000e+00, 7.857143e-01, 1.000000e+00 3331, 0.000000e+00, 8.571429e-01, 1.000000e+00 3332, 7.142857e-02, 8.571429e-01, 1.000000e+00 3333, 1.428571e-01, 8.571429e-01, 1.000000e+00 3334, 2.142857e-01, 8.571429e-01, 1.000000e+00 3335, 2.857143e-01, 8.571429e-01, 1.000000e+00 3336, 3.571429e-01, 8.571429e-01, 1.000000e+00 3337, 4.285714e-01, 8.571429e-01, 1.000000e+00 3338, 5.000000e-01, 8.571429e-01, 1.000000e+00 3339, 5.714286e-01, 8.571429e-01, 1.000000e+00 3340, 6.428571e-01, 8.571429e-01, 1.000000e+00 3341, 7.142857e-01, 8.571429e-01, 1.000000e+00 3342, 7.857143e-01, 8.571429e-01, 1.000000e+00 3343, 8.571429e-01, 8.571429e-01, 1.000000e+00 3344, 9.285714e-01, 8.571429e-01, 1.000000e+00 3345, 1.000000e+00, 8.571429e-01, 1.000000e+00 3346, 0.000000e+00, 9.285714e-01, 1.000000e+00 3347, 7.142857e-02, 9.285714e-01, 1.000000e+00 3348, 1.428571e-01, 9.285714e-01, 1.000000e+00 3349, 2.142857e-01, 9.285714e-01, 1.000000e+00 3350, 2.857143e-01, 9.285714e-01, 1.000000e+00 3351, 3.571429e-01, 9.285714e-01, 1.000000e+00 3352, 4.285714e-01, 9.285714e-01, 1.000000e+00 3353, 5.000000e-01, 9.285714e-01, 1.000000e+00 3354, 5.714286e-01, 9.285714e-01, 1.000000e+00 3355, 6.428571e-01, 9.285714e-01, 1.000000e+00 3356, 7.142857e-01, 9.285714e-01, 1.000000e+00 3357, 7.857143e-01, 9.285714e-01, 1.000000e+00 3358, 8.571429e-01, 9.285714e-01, 1.000000e+00 3359, 9.285714e-01, 9.285714e-01, 1.000000e+00 3360, 1.000000e+00, 9.285714e-01, 1.000000e+00 3361, 0.000000e+00, 1.000000e+00, 1.000000e+00 3362, 7.142857e-02, 1.000000e+00, 1.000000e+00 3363, 1.428571e-01, 1.000000e+00, 1.000000e+00 3364, 2.142857e-01, 1.000000e+00, 1.000000e+00 3365, 2.857143e-01, 1.000000e+00, 1.000000e+00 3366, 3.571429e-01, 1.000000e+00, 1.000000e+00 3367, 4.285714e-01, 1.000000e+00, 1.000000e+00 3368, 5.000000e-01, 1.000000e+00, 1.000000e+00 3369, 5.714286e-01, 1.000000e+00, 1.000000e+00 3370, 6.428571e-01, 1.000000e+00, 1.000000e+00 3371, 7.142857e-01, 1.000000e+00, 1.000000e+00 3372, 7.857143e-01, 1.000000e+00, 1.000000e+00 3373, 8.571429e-01, 1.000000e+00, 1.000000e+00 3374, 9.285714e-01, 1.000000e+00, 1.000000e+00 3375, 1.000000e+00, 1.000000e+00, 1.000000e+00 *Element, type=C3D8 1,1,2,17,16,226,227,242,241 2,2,3,18,17,227,228,243,242 3,3,4,19,18,228,229,244,243 4,4,5,20,19,229,230,245,244 5,5,6,21,20,230,231,246,245 6,6,7,22,21,231,232,247,246 7,7,8,23,22,232,233,248,247 8,8,9,24,23,233,234,249,248 9,9,10,25,24,234,235,250,249 10,10,11,26,25,235,236,251,250 11,11,12,27,26,236,237,252,251 12,12,13,28,27,237,238,253,252 13,13,14,29,28,238,239,254,253 14,14,15,30,29,239,240,255,254 15,16,17,32,31,241,242,257,256 16,17,18,33,32,242,243,258,257 17,18,19,34,33,243,244,259,258 18,19,20,35,34,244,245,260,259 19,20,21,36,35,245,246,261,260 20,21,22,37,36,246,247,262,261 21,22,23,38,37,247,248,263,262 22,23,24,39,38,248,249,264,263 23,24,25,40,39,249,250,265,264 24,25,26,41,40,250,251,266,265 25,26,27,42,41,251,252,267,266 26,27,28,43,42,252,253,268,267 27,28,29,44,43,253,254,269,268 28,29,30,45,44,254,255,270,269 29,31,32,47,46,256,257,272,271 30,32,33,48,47,257,258,273,272 31,33,34,49,48,258,259,274,273 32,34,35,50,49,259,260,275,274 33,35,36,51,50,260,261,276,275 34,36,37,52,51,261,262,277,276 35,37,38,53,52,262,263,278,277 36,38,39,54,53,263,264,279,278 37,39,40,55,54,264,265,280,279 38,40,41,56,55,265,266,281,280 39,41,42,57,56,266,267,282,281 40,42,43,58,57,267,268,283,282 41,43,44,59,58,268,269,284,283 42,44,45,60,59,269,270,285,284 43,46,47,62,61,271,272,287,286 44,47,48,63,62,272,273,288,287 45,48,49,64,63,273,274,289,288 46,49,50,65,64,274,275,290,289 47,50,51,66,65,275,276,291,290 48,51,52,67,66,276,277,292,291 49,52,53,68,67,277,278,293,292 50,53,54,69,68,278,279,294,293 51,54,55,70,69,279,280,295,294 52,55,56,71,70,280,281,296,295 53,56,57,72,71,281,282,297,296 54,57,58,73,72,282,283,298,297 55,58,59,74,73,283,284,299,298 56,59,60,75,74,284,285,300,299 57,61,62,77,76,286,287,302,301 58,62,63,78,77,287,288,303,302 59,63,64,79,78,288,289,304,303 60,64,65,80,79,289,290,305,304 61,65,66,81,80,290,291,306,305 62,66,67,82,81,291,292,307,306 63,67,68,83,82,292,293,308,307 64,68,69,84,83,293,294,309,308 65,69,70,85,84,294,295,310,309 66,70,71,86,85,295,296,311,310 67,71,72,87,86,296,297,312,311 68,72,73,88,87,297,298,313,312 69,73,74,89,88,298,299,314,313 70,74,75,90,89,299,300,315,314 71,76,77,92,91,301,302,317,316 72,77,78,93,92,302,303,318,317 73,78,79,94,93,303,304,319,318 74,79,80,95,94,304,305,320,319 75,80,81,96,95,305,306,321,320 76,81,82,97,96,306,307,322,321 77,82,83,98,97,307,308,323,322 78,83,84,99,98,308,309,324,323 79,84,85,100,99,309,310,325,324 80,85,86,101,100,310,311,326,325 81,86,87,102,101,311,312,327,326 82,87,88,103,102,312,313,328,327 83,88,89,104,103,313,314,329,328 84,89,90,105,104,314,315,330,329 85,91,92,107,106,316,317,332,331 86,92,93,108,107,317,318,333,332 87,93,94,109,108,318,319,334,333 88,94,95,110,109,319,320,335,334 89,95,96,111,110,320,321,336,335 90,96,97,112,111,321,322,337,336 91,97,98,113,112,322,323,338,337 92,98,99,114,113,323,324,339,338 93,99,100,115,114,324,325,340,339 94,100,101,116,115,325,326,341,340 95,101,102,117,116,326,327,342,341 96,102,103,118,117,327,328,343,342 97,103,104,119,118,328,329,344,343 98,104,105,120,119,329,330,345,344 99,106,107,122,121,331,332,347,346 100,107,108,123,122,332,333,348,347 101,108,109,124,123,333,334,349,348 102,109,110,125,124,334,335,350,349 103,110,111,126,125,335,336,351,350 104,111,112,127,126,336,337,352,351 105,112,113,128,127,337,338,353,352 106,113,114,129,128,338,339,354,353 107,114,115,130,129,339,340,355,354 108,115,116,131,130,340,341,356,355 109,116,117,132,131,341,342,357,356 110,117,118,133,132,342,343,358,357 111,118,119,134,133,343,344,359,358 112,119,120,135,134,344,345,360,359 113,121,122,137,136,346,347,362,361 114,122,123,138,137,347,348,363,362 115,123,124,139,138,348,349,364,363 116,124,125,140,139,349,350,365,364 117,125,126,141,140,350,351,366,365 118,126,127,142,141,351,352,367,366 119,127,128,143,142,352,353,368,367 120,128,129,144,143,353,354,369,368 121,129,130,145,144,354,355,370,369 122,130,131,146,145,355,356,371,370 123,131,132,147,146,356,357,372,371 124,132,133,148,147,357,358,373,372 125,133,134,149,148,358,359,374,373 126,134,135,150,149,359,360,375,374 127,136,137,152,151,361,362,377,376 128,137,138,153,152,362,363,378,377 129,138,139,154,153,363,364,379,378 130,139,140,155,154,364,365,380,379 131,140,141,156,155,365,366,381,380 132,141,142,157,156,366,367,382,381 133,142,143,158,157,367,368,383,382 134,143,144,159,158,368,369,384,383 135,144,145,160,159,369,370,385,384 136,145,146,161,160,370,371,386,385 137,146,147,162,161,371,372,387,386 138,147,148,163,162,372,373,388,387 139,148,149,164,163,373,374,389,388 140,149,150,165,164,374,375,390,389 141,151,152,167,166,376,377,392,391 142,152,153,168,167,377,378,393,392 143,153,154,169,168,378,379,394,393 144,154,155,170,169,379,380,395,394 145,155,156,171,170,380,381,396,395 146,156,157,172,171,381,382,397,396 147,157,158,173,172,382,383,398,397 148,158,159,174,173,383,384,399,398 149,159,160,175,174,384,385,400,399 150,160,161,176,175,385,386,401,400 151,161,162,177,176,386,387,402,401 152,162,163,178,177,387,388,403,402 153,163,164,179,178,388,389,404,403 154,164,165,180,179,389,390,405,404 155,166,167,182,181,391,392,407,406 156,167,168,183,182,392,393,408,407 157,168,169,184,183,393,394,409,408 158,169,170,185,184,394,395,410,409 159,170,171,186,185,395,396,411,410 160,171,172,187,186,396,397,412,411 161,172,173,188,187,397,398,413,412 162,173,174,189,188,398,399,414,413 163,174,175,190,189,399,400,415,414 164,175,176,191,190,400,401,416,415 165,176,177,192,191,401,402,417,416 166,177,178,193,192,402,403,418,417 167,178,179,194,193,403,404,419,418 168,179,180,195,194,404,405,420,419 169,181,182,197,196,406,407,422,421 170,182,183,198,197,407,408,423,422 171,183,184,199,198,408,409,424,423 172,184,185,200,199,409,410,425,424 173,185,186,201,200,410,411,426,425 174,186,187,202,201,411,412,427,426 175,187,188,203,202,412,413,428,427 176,188,189,204,203,413,414,429,428 177,189,190,205,204,414,415,430,429 178,190,191,206,205,415,416,431,430 179,191,192,207,206,416,417,432,431 180,192,193,208,207,417,418,433,432 181,193,194,209,208,418,419,434,433 182,194,195,210,209,419,420,435,434 183,196,197,212,211,421,422,437,436 184,197,198,213,212,422,423,438,437 185,198,199,214,213,423,424,439,438 186,199,200,215,214,424,425,440,439 187,200,201,216,215,425,426,441,440 188,201,202,217,216,426,427,442,441 189,202,203,218,217,427,428,443,442 190,203,204,219,218,428,429,444,443 191,204,205,220,219,429,430,445,444 192,205,206,221,220,430,431,446,445 193,206,207,222,221,431,432,447,446 194,207,208,223,222,432,433,448,447 195,208,209,224,223,433,434,449,448 196,209,210,225,224,434,435,450,449 197,226,227,242,241,451,452,467,466 198,227,228,243,242,452,453,468,467 199,228,229,244,243,453,454,469,468 200,229,230,245,244,454,455,470,469 201,230,231,246,245,455,456,471,470 202,231,232,247,246,456,457,472,471 203,232,233,248,247,457,458,473,472 204,233,234,249,248,458,459,474,473 205,234,235,250,249,459,460,475,474 206,235,236,251,250,460,461,476,475 207,236,237,252,251,461,462,477,476 208,237,238,253,252,462,463,478,477 209,238,239,254,253,463,464,479,478 210,239,240,255,254,464,465,480,479 211,241,242,257,256,466,467,482,481 212,242,243,258,257,467,468,483,482 213,243,244,259,258,468,469,484,483 214,244,245,260,259,469,470,485,484 215,245,246,261,260,470,471,486,485 216,246,247,262,261,471,472,487,486 217,247,248,263,262,472,473,488,487 218,248,249,264,263,473,474,489,488 219,249,250,265,264,474,475,490,489 220,250,251,266,265,475,476,491,490 221,251,252,267,266,476,477,492,491 222,252,253,268,267,477,478,493,492 223,253,254,269,268,478,479,494,493 224,254,255,270,269,479,480,495,494 225,256,257,272,271,481,482,497,496 226,257,258,273,272,482,483,498,497 227,258,259,274,273,483,484,499,498 228,259,260,275,274,484,485,500,499 229,260,261,276,275,485,486,501,500 230,261,262,277,276,486,487,502,501 231,262,263,278,277,487,488,503,502 232,263,264,279,278,488,489,504,503 233,264,265,280,279,489,490,505,504 234,265,266,281,280,490,491,506,505 235,266,267,282,281,491,492,507,506 236,267,268,283,282,492,493,508,507 237,268,269,284,283,493,494,509,508 238,269,270,285,284,494,495,510,509 239,271,272,287,286,496,497,512,511 240,272,273,288,287,497,498,513,512 241,273,274,289,288,498,499,514,513 242,274,275,290,289,499,500,515,514 243,275,276,291,290,500,501,516,515 244,276,277,292,291,501,502,517,516 245,277,278,293,292,502,503,518,517 246,278,279,294,293,503,504,519,518 247,279,280,295,294,504,505,520,519 248,280,281,296,295,505,506,521,520 249,281,282,297,296,506,507,522,521 250,282,283,298,297,507,508,523,522 251,283,284,299,298,508,509,524,523 252,284,285,300,299,509,510,525,524 253,286,287,302,301,511,512,527,526 254,287,288,303,302,512,513,528,527 255,288,289,304,303,513,514,529,528 256,289,290,305,304,514,515,530,529 257,290,291,306,305,515,516,531,530 258,291,292,307,306,516,517,532,531 259,292,293,308,307,517,518,533,532 260,293,294,309,308,518,519,534,533 261,294,295,310,309,519,520,535,534 262,295,296,311,310,520,521,536,535 263,296,297,312,311,521,522,537,536 264,297,298,313,312,522,523,538,537 265,298,299,314,313,523,524,539,538 266,299,300,315,314,524,525,540,539 267,301,302,317,316,526,527,542,541 268,302,303,318,317,527,528,543,542 269,303,304,319,318,528,529,544,543 270,304,305,320,319,529,530,545,544 271,305,306,321,320,530,531,546,545 272,306,307,322,321,531,532,547,546 273,307,308,323,322,532,533,548,547 274,308,309,324,323,533,534,549,548 275,309,310,325,324,534,535,550,549 276,310,311,326,325,535,536,551,550 277,311,312,327,326,536,537,552,551 278,312,313,328,327,537,538,553,552 279,313,314,329,328,538,539,554,553 280,314,315,330,329,539,540,555,554 281,316,317,332,331,541,542,557,556 282,317,318,333,332,542,543,558,557 283,318,319,334,333,543,544,559,558 284,319,320,335,334,544,545,560,559 285,320,321,336,335,545,546,561,560 286,321,322,337,336,546,547,562,561 287,322,323,338,337,547,548,563,562 288,323,324,339,338,548,549,564,563 289,324,325,340,339,549,550,565,564 290,325,326,341,340,550,551,566,565 291,326,327,342,341,551,552,567,566 292,327,328,343,342,552,553,568,567 293,328,329,344,343,553,554,569,568 294,329,330,345,344,554,555,570,569 295,331,332,347,346,556,557,572,571 296,332,333,348,347,557,558,573,572 297,333,334,349,348,558,559,574,573 298,334,335,350,349,559,560,575,574 299,335,336,351,350,560,561,576,575 300,336,337,352,351,561,562,577,576 301,337,338,353,352,562,563,578,577 302,338,339,354,353,563,564,579,578 303,339,340,355,354,564,565,580,579 304,340,341,356,355,565,566,581,580 305,341,342,357,356,566,567,582,581 306,342,343,358,357,567,568,583,582 307,343,344,359,358,568,569,584,583 308,344,345,360,359,569,570,585,584 309,346,347,362,361,571,572,587,586 310,347,348,363,362,572,573,588,587 311,348,349,364,363,573,574,589,588 312,349,350,365,364,574,575,590,589 313,350,351,366,365,575,576,591,590 314,351,352,367,366,576,577,592,591 315,352,353,368,367,577,578,593,592 316,353,354,369,368,578,579,594,593 317,354,355,370,369,579,580,595,594 318,355,356,371,370,580,581,596,595 319,356,357,372,371,581,582,597,596 320,357,358,373,372,582,583,598,597 321,358,359,374,373,583,584,599,598 322,359,360,375,374,584,585,600,599 323,361,362,377,376,586,587,602,601 324,362,363,378,377,587,588,603,602 325,363,364,379,378,588,589,604,603 326,364,365,380,379,589,590,605,604 327,365,366,381,380,590,591,606,605 328,366,367,382,381,591,592,607,606 329,367,368,383,382,592,593,608,607 330,368,369,384,383,593,594,609,608 331,369,370,385,384,594,595,610,609 332,370,371,386,385,595,596,611,610 333,371,372,387,386,596,597,612,611 334,372,373,388,387,597,598,613,612 335,373,374,389,388,598,599,614,613 336,374,375,390,389,599,600,615,614 337,376,377,392,391,601,602,617,616 338,377,378,393,392,602,603,618,617 339,378,379,394,393,603,604,619,618 340,379,380,395,394,604,605,620,619 341,380,381,396,395,605,606,621,620 342,381,382,397,396,606,607,622,621 343,382,383,398,397,607,608,623,622 344,383,384,399,398,608,609,624,623 345,384,385,400,399,609,610,625,624 346,385,386,401,400,610,611,626,625 347,386,387,402,401,611,612,627,626 348,387,388,403,402,612,613,628,627 349,388,389,404,403,613,614,629,628 350,389,390,405,404,614,615,630,629 351,391,392,407,406,616,617,632,631 352,392,393,408,407,617,618,633,632 353,393,394,409,408,618,619,634,633 354,394,395,410,409,619,620,635,634 355,395,396,411,410,620,621,636,635 356,396,397,412,411,621,622,637,636 357,397,398,413,412,622,623,638,637 358,398,399,414,413,623,624,639,638 359,399,400,415,414,624,625,640,639 360,400,401,416,415,625,626,641,640 361,401,402,417,416,626,627,642,641 362,402,403,418,417,627,628,643,642 363,403,404,419,418,628,629,644,643 364,404,405,420,419,629,630,645,644 365,406,407,422,421,631,632,647,646 366,407,408,423,422,632,633,648,647 367,408,409,424,423,633,634,649,648 368,409,410,425,424,634,635,650,649 369,410,411,426,425,635,636,651,650 370,411,412,427,426,636,637,652,651 371,412,413,428,427,637,638,653,652 372,413,414,429,428,638,639,654,653 373,414,415,430,429,639,640,655,654 374,415,416,431,430,640,641,656,655 375,416,417,432,431,641,642,657,656 376,417,418,433,432,642,643,658,657 377,418,419,434,433,643,644,659,658 378,419,420,435,434,644,645,660,659 379,421,422,437,436,646,647,662,661 380,422,423,438,437,647,648,663,662 381,423,424,439,438,648,649,664,663 382,424,425,440,439,649,650,665,664 383,425,426,441,440,650,651,666,665 384,426,427,442,441,651,652,667,666 385,427,428,443,442,652,653,668,667 386,428,429,444,443,653,654,669,668 387,429,430,445,444,654,655,670,669 388,430,431,446,445,655,656,671,670 389,431,432,447,446,656,657,672,671 390,432,433,448,447,657,658,673,672 391,433,434,449,448,658,659,674,673 392,434,435,450,449,659,660,675,674 393,451,452,467,466,676,677,692,691 394,452,453,468,467,677,678,693,692 395,453,454,469,468,678,679,694,693 396,454,455,470,469,679,680,695,694 397,455,456,471,470,680,681,696,695 398,456,457,472,471,681,682,697,696 399,457,458,473,472,682,683,698,697 400,458,459,474,473,683,684,699,698 401,459,460,475,474,684,685,700,699 402,460,461,476,475,685,686,701,700 403,461,462,477,476,686,687,702,701 404,462,463,478,477,687,688,703,702 405,463,464,479,478,688,689,704,703 406,464,465,480,479,689,690,705,704 407,466,467,482,481,691,692,707,706 408,467,468,483,482,692,693,708,707 409,468,469,484,483,693,694,709,708 410,469,470,485,484,694,695,710,709 411,470,471,486,485,695,696,711,710 412,471,472,487,486,696,697,712,711 413,472,473,488,487,697,698,713,712 414,473,474,489,488,698,699,714,713 415,474,475,490,489,699,700,715,714 416,475,476,491,490,700,701,716,715 417,476,477,492,491,701,702,717,716 418,477,478,493,492,702,703,718,717 419,478,479,494,493,703,704,719,718 420,479,480,495,494,704,705,720,719 421,481,482,497,496,706,707,722,721 422,482,483,498,497,707,708,723,722 423,483,484,499,498,708,709,724,723 424,484,485,500,499,709,710,725,724 425,485,486,501,500,710,711,726,725 426,486,487,502,501,711,712,727,726 427,487,488,503,502,712,713,728,727 428,488,489,504,503,713,714,729,728 429,489,490,505,504,714,715,730,729 430,490,491,506,505,715,716,731,730 431,491,492,507,506,716,717,732,731 432,492,493,508,507,717,718,733,732 433,493,494,509,508,718,719,734,733 434,494,495,510,509,719,720,735,734 435,496,497,512,511,721,722,737,736 436,497,498,513,512,722,723,738,737 437,498,499,514,513,723,724,739,738 438,499,500,515,514,724,725,740,739 439,500,501,516,515,725,726,741,740 440,501,502,517,516,726,727,742,741 441,502,503,518,517,727,728,743,742 442,503,504,519,518,728,729,744,743 443,504,505,520,519,729,730,745,744 444,505,506,521,520,730,731,746,745 445,506,507,522,521,731,732,747,746 446,507,508,523,522,732,733,748,747 447,508,509,524,523,733,734,749,748 448,509,510,525,524,734,735,750,749 449,511,512,527,526,736,737,752,751 450,512,513,528,527,737,738,753,752 451,513,514,529,528,738,739,754,753 452,514,515,530,529,739,740,755,754 453,515,516,531,530,740,741,756,755 454,516,517,532,531,741,742,757,756 455,517,518,533,532,742,743,758,757 456,518,519,534,533,743,744,759,758 457,519,520,535,534,744,745,760,759 458,520,521,536,535,745,746,761,760 459,521,522,537,536,746,747,762,761 460,522,523,538,537,747,748,763,762 461,523,524,539,538,748,749,764,763 462,524,525,540,539,749,750,765,764 463,526,527,542,541,751,752,767,766 464,527,528,543,542,752,753,768,767 465,528,529,544,543,753,754,769,768 466,529,530,545,544,754,755,770,769 467,530,531,546,545,755,756,771,770 468,531,532,547,546,756,757,772,771 469,532,533,548,547,757,758,773,772 470,533,534,549,548,758,759,774,773 471,534,535,550,549,759,760,775,774 472,535,536,551,550,760,761,776,775 473,536,537,552,551,761,762,777,776 474,537,538,553,552,762,763,778,777 475,538,539,554,553,763,764,779,778 476,539,540,555,554,764,765,780,779 477,541,542,557,556,766,767,782,781 478,542,543,558,557,767,768,783,782 479,543,544,559,558,768,769,784,783 480,544,545,560,559,769,770,785,784 481,545,546,561,560,770,771,786,785 482,546,547,562,561,771,772,787,786 483,547,548,563,562,772,773,788,787 484,548,549,564,563,773,774,789,788 485,549,550,565,564,774,775,790,789 486,550,551,566,565,775,776,791,790 487,551,552,567,566,776,777,792,791 488,552,553,568,567,777,778,793,792 489,553,554,569,568,778,779,794,793 490,554,555,570,569,779,780,795,794 491,556,557,572,571,781,782,797,796 492,557,558,573,572,782,783,798,797 493,558,559,574,573,783,784,799,798 494,559,560,575,574,784,785,800,799 495,560,561,576,575,785,786,801,800 496,561,562,577,576,786,787,802,801 497,562,563,578,577,787,788,803,802 498,563,564,579,578,788,789,804,803 499,564,565,580,579,789,790,805,804 500,565,566,581,580,790,791,806,805 501,566,567,582,581,791,792,807,806 502,567,568,583,582,792,793,808,807 503,568,569,584,583,793,794,809,808 504,569,570,585,584,794,795,810,809 505,571,572,587,586,796,797,812,811 506,572,573,588,587,797,798,813,812 507,573,574,589,588,798,799,814,813 508,574,575,590,589,799,800,815,814 509,575,576,591,590,800,801,816,815 510,576,577,592,591,801,802,817,816 511,577,578,593,592,802,803,818,817 512,578,579,594,593,803,804,819,818 513,579,580,595,594,804,805,820,819 514,580,581,596,595,805,806,821,820 515,581,582,597,596,806,807,822,821 516,582,583,598,597,807,808,823,822 517,583,584,599,598,808,809,824,823 518,584,585,600,599,809,810,825,824 519,586,587,602,601,811,812,827,826 520,587,588,603,602,812,813,828,827 521,588,589,604,603,813,814,829,828 522,589,590,605,604,814,815,830,829 523,590,591,606,605,815,816,831,830 524,591,592,607,606,816,817,832,831 525,592,593,608,607,817,818,833,832 526,593,594,609,608,818,819,834,833 527,594,595,610,609,819,820,835,834 528,595,596,611,610,820,821,836,835 529,596,597,612,611,821,822,837,836 530,597,598,613,612,822,823,838,837 531,598,599,614,613,823,824,839,838 532,599,600,615,614,824,825,840,839 533,601,602,617,616,826,827,842,841 534,602,603,618,617,827,828,843,842 535,603,604,619,618,828,829,844,843 536,604,605,620,619,829,830,845,844 537,605,606,621,620,830,831,846,845 538,606,607,622,621,831,832,847,846 539,607,608,623,622,832,833,848,847 540,608,609,624,623,833,834,849,848 541,609,610,625,624,834,835,850,849 542,610,611,626,625,835,836,851,850 543,611,612,627,626,836,837,852,851 544,612,613,628,627,837,838,853,852 545,613,614,629,628,838,839,854,853 546,614,615,630,629,839,840,855,854 547,616,617,632,631,841,842,857,856 548,617,618,633,632,842,843,858,857 549,618,619,634,633,843,844,859,858 550,619,620,635,634,844,845,860,859 551,620,621,636,635,845,846,861,860 552,621,622,637,636,846,847,862,861 553,622,623,638,637,847,848,863,862 554,623,624,639,638,848,849,864,863 555,624,625,640,639,849,850,865,864 556,625,626,641,640,850,851,866,865 557,626,627,642,641,851,852,867,866 558,627,628,643,642,852,853,868,867 559,628,629,644,643,853,854,869,868 560,629,630,645,644,854,855,870,869 561,631,632,647,646,856,857,872,871 562,632,633,648,647,857,858,873,872 563,633,634,649,648,858,859,874,873 564,634,635,650,649,859,860,875,874 565,635,636,651,650,860,861,876,875 566,636,637,652,651,861,862,877,876 567,637,638,653,652,862,863,878,877 568,638,639,654,653,863,864,879,878 569,639,640,655,654,864,865,880,879 570,640,641,656,655,865,866,881,880 571,641,642,657,656,866,867,882,881 572,642,643,658,657,867,868,883,882 573,643,644,659,658,868,869,884,883 574,644,645,660,659,869,870,885,884 575,646,647,662,661,871,872,887,886 576,647,648,663,662,872,873,888,887 577,648,649,664,663,873,874,889,888 578,649,650,665,664,874,875,890,889 579,650,651,666,665,875,876,891,890 580,651,652,667,666,876,877,892,891 581,652,653,668,667,877,878,893,892 582,653,654,669,668,878,879,894,893 583,654,655,670,669,879,880,895,894 584,655,656,671,670,880,881,896,895 585,656,657,672,671,881,882,897,896 586,657,658,673,672,882,883,898,897 587,658,659,674,673,883,884,899,898 588,659,660,675,674,884,885,900,899 589,676,677,692,691,901,902,917,916 590,677,678,693,692,902,903,918,917 591,678,679,694,693,903,904,919,918 592,679,680,695,694,904,905,920,919 593,680,681,696,695,905,906,921,920 594,681,682,697,696,906,907,922,921 595,682,683,698,697,907,908,923,922 596,683,684,699,698,908,909,924,923 597,684,685,700,699,909,910,925,924 598,685,686,701,700,910,911,926,925 599,686,687,702,701,911,912,927,926 600,687,688,703,702,912,913,928,927 601,688,689,704,703,913,914,929,928 602,689,690,705,704,914,915,930,929 603,691,692,707,706,916,917,932,931 604,692,693,708,707,917,918,933,932 605,693,694,709,708,918,919,934,933 606,694,695,710,709,919,920,935,934 607,695,696,711,710,920,921,936,935 608,696,697,712,711,921,922,937,936 609,697,698,713,712,922,923,938,937 610,698,699,714,713,923,924,939,938 611,699,700,715,714,924,925,940,939 612,700,701,716,715,925,926,941,940 613,701,702,717,716,926,927,942,941 614,702,703,718,717,927,928,943,942 615,703,704,719,718,928,929,944,943 616,704,705,720,719,929,930,945,944 617,706,707,722,721,931,932,947,946 618,707,708,723,722,932,933,948,947 619,708,709,724,723,933,934,949,948 620,709,710,725,724,934,935,950,949 621,710,711,726,725,935,936,951,950 622,711,712,727,726,936,937,952,951 623,712,713,728,727,937,938,953,952 624,713,714,729,728,938,939,954,953 625,714,715,730,729,939,940,955,954 626,715,716,731,730,940,941,956,955 627,716,717,732,731,941,942,957,956 628,717,718,733,732,942,943,958,957 629,718,719,734,733,943,944,959,958 630,719,720,735,734,944,945,960,959 631,721,722,737,736,946,947,962,961 632,722,723,738,737,947,948,963,962 633,723,724,739,738,948,949,964,963 634,724,725,740,739,949,950,965,964 635,725,726,741,740,950,951,966,965 636,726,727,742,741,951,952,967,966 637,727,728,743,742,952,953,968,967 638,728,729,744,743,953,954,969,968 639,729,730,745,744,954,955,970,969 640,730,731,746,745,955,956,971,970 641,731,732,747,746,956,957,972,971 642,732,733,748,747,957,958,973,972 643,733,734,749,748,958,959,974,973 644,734,735,750,749,959,960,975,974 645,736,737,752,751,961,962,977,976 646,737,738,753,752,962,963,978,977 647,738,739,754,753,963,964,979,978 648,739,740,755,754,964,965,980,979 649,740,741,756,755,965,966,981,980 650,741,742,757,756,966,967,982,981 651,742,743,758,757,967,968,983,982 652,743,744,759,758,968,969,984,983 653,744,745,760,759,969,970,985,984 654,745,746,761,760,970,971,986,985 655,746,747,762,761,971,972,987,986 656,747,748,763,762,972,973,988,987 657,748,749,764,763,973,974,989,988 658,749,750,765,764,974,975,990,989 659,751,752,767,766,976,977,992,991 660,752,753,768,767,977,978,993,992 661,753,754,769,768,978,979,994,993 662,754,755,770,769,979,980,995,994 663,755,756,771,770,980,981,996,995 664,756,757,772,771,981,982,997,996 665,757,758,773,772,982,983,998,997 666,758,759,774,773,983,984,999,998 667,759,760,775,774,984,985,1000,999 668,760,761,776,775,985,986,1001,1000 669,761,762,777,776,986,987,1002,1001 670,762,763,778,777,987,988,1003,1002 671,763,764,779,778,988,989,1004,1003 672,764,765,780,779,989,990,1005,1004 673,766,767,782,781,991,992,1007,1006 674,767,768,783,782,992,993,1008,1007 675,768,769,784,783,993,994,1009,1008 676,769,770,785,784,994,995,1010,1009 677,770,771,786,785,995,996,1011,1010 678,771,772,787,786,996,997,1012,1011 679,772,773,788,787,997,998,1013,1012 680,773,774,789,788,998,999,1014,1013 681,774,775,790,789,999,1000,1015,1014 682,775,776,791,790,1000,1001,1016,1015 683,776,777,792,791,1001,1002,1017,1016 684,777,778,793,792,1002,1003,1018,1017 685,778,779,794,793,1003,1004,1019,1018 686,779,780,795,794,1004,1005,1020,1019 687,781,782,797,796,1006,1007,1022,1021 688,782,783,798,797,1007,1008,1023,1022 689,783,784,799,798,1008,1009,1024,1023 690,784,785,800,799,1009,1010,1025,1024 691,785,786,801,800,1010,1011,1026,1025 692,786,787,802,801,1011,1012,1027,1026 693,787,788,803,802,1012,1013,1028,1027 694,788,789,804,803,1013,1014,1029,1028 695,789,790,805,804,1014,1015,1030,1029 696,790,791,806,805,1015,1016,1031,1030 697,791,792,807,806,1016,1017,1032,1031 698,792,793,808,807,1017,1018,1033,1032 699,793,794,809,808,1018,1019,1034,1033 700,794,795,810,809,1019,1020,1035,1034 701,796,797,812,811,1021,1022,1037,1036 702,797,798,813,812,1022,1023,1038,1037 703,798,799,814,813,1023,1024,1039,1038 704,799,800,815,814,1024,1025,1040,1039 705,800,801,816,815,1025,1026,1041,1040 706,801,802,817,816,1026,1027,1042,1041 707,802,803,818,817,1027,1028,1043,1042 708,803,804,819,818,1028,1029,1044,1043 709,804,805,820,819,1029,1030,1045,1044 710,805,806,821,820,1030,1031,1046,1045 711,806,807,822,821,1031,1032,1047,1046 712,807,808,823,822,1032,1033,1048,1047 713,808,809,824,823,1033,1034,1049,1048 714,809,810,825,824,1034,1035,1050,1049 715,811,812,827,826,1036,1037,1052,1051 716,812,813,828,827,1037,1038,1053,1052 717,813,814,829,828,1038,1039,1054,1053 718,814,815,830,829,1039,1040,1055,1054 719,815,816,831,830,1040,1041,1056,1055 720,816,817,832,831,1041,1042,1057,1056 721,817,818,833,832,1042,1043,1058,1057 722,818,819,834,833,1043,1044,1059,1058 723,819,820,835,834,1044,1045,1060,1059 724,820,821,836,835,1045,1046,1061,1060 725,821,822,837,836,1046,1047,1062,1061 726,822,823,838,837,1047,1048,1063,1062 727,823,824,839,838,1048,1049,1064,1063 728,824,825,840,839,1049,1050,1065,1064 729,826,827,842,841,1051,1052,1067,1066 730,827,828,843,842,1052,1053,1068,1067 731,828,829,844,843,1053,1054,1069,1068 732,829,830,845,844,1054,1055,1070,1069 733,830,831,846,845,1055,1056,1071,1070 734,831,832,847,846,1056,1057,1072,1071 735,832,833,848,847,1057,1058,1073,1072 736,833,834,849,848,1058,1059,1074,1073 737,834,835,850,849,1059,1060,1075,1074 738,835,836,851,850,1060,1061,1076,1075 739,836,837,852,851,1061,1062,1077,1076 740,837,838,853,852,1062,1063,1078,1077 741,838,839,854,853,1063,1064,1079,1078 742,839,840,855,854,1064,1065,1080,1079 743,841,842,857,856,1066,1067,1082,1081 744,842,843,858,857,1067,1068,1083,1082 745,843,844,859,858,1068,1069,1084,1083 746,844,845,860,859,1069,1070,1085,1084 747,845,846,861,860,1070,1071,1086,1085 748,846,847,862,861,1071,1072,1087,1086 749,847,848,863,862,1072,1073,1088,1087 750,848,849,864,863,1073,1074,1089,1088 751,849,850,865,864,1074,1075,1090,1089 752,850,851,866,865,1075,1076,1091,1090 753,851,852,867,866,1076,1077,1092,1091 754,852,853,868,867,1077,1078,1093,1092 755,853,854,869,868,1078,1079,1094,1093 756,854,855,870,869,1079,1080,1095,1094 757,856,857,872,871,1081,1082,1097,1096 758,857,858,873,872,1082,1083,1098,1097 759,858,859,874,873,1083,1084,1099,1098 760,859,860,875,874,1084,1085,1100,1099 761,860,861,876,875,1085,1086,1101,1100 762,861,862,877,876,1086,1087,1102,1101 763,862,863,878,877,1087,1088,1103,1102 764,863,864,879,878,1088,1089,1104,1103 765,864,865,880,879,1089,1090,1105,1104 766,865,866,881,880,1090,1091,1106,1105 767,866,867,882,881,1091,1092,1107,1106 768,867,868,883,882,1092,1093,1108,1107 769,868,869,884,883,1093,1094,1109,1108 770,869,870,885,884,1094,1095,1110,1109 771,871,872,887,886,1096,1097,1112,1111 772,872,873,888,887,1097,1098,1113,1112 773,873,874,889,888,1098,1099,1114,1113 774,874,875,890,889,1099,1100,1115,1114 775,875,876,891,890,1100,1101,1116,1115 776,876,877,892,891,1101,1102,1117,1116 777,877,878,893,892,1102,1103,1118,1117 778,878,879,894,893,1103,1104,1119,1118 779,879,880,895,894,1104,1105,1120,1119 780,880,881,896,895,1105,1106,1121,1120 781,881,882,897,896,1106,1107,1122,1121 782,882,883,898,897,1107,1108,1123,1122 783,883,884,899,898,1108,1109,1124,1123 784,884,885,900,899,1109,1110,1125,1124 785,901,902,917,916,1126,1127,1142,1141 786,902,903,918,917,1127,1128,1143,1142 787,903,904,919,918,1128,1129,1144,1143 788,904,905,920,919,1129,1130,1145,1144 789,905,906,921,920,1130,1131,1146,1145 790,906,907,922,921,1131,1132,1147,1146 791,907,908,923,922,1132,1133,1148,1147 792,908,909,924,923,1133,1134,1149,1148 793,909,910,925,924,1134,1135,1150,1149 794,910,911,926,925,1135,1136,1151,1150 795,911,912,927,926,1136,1137,1152,1151 796,912,913,928,927,1137,1138,1153,1152 797,913,914,929,928,1138,1139,1154,1153 798,914,915,930,929,1139,1140,1155,1154 799,916,917,932,931,1141,1142,1157,1156 800,917,918,933,932,1142,1143,1158,1157 801,918,919,934,933,1143,1144,1159,1158 802,919,920,935,934,1144,1145,1160,1159 803,920,921,936,935,1145,1146,1161,1160 804,921,922,937,936,1146,1147,1162,1161 805,922,923,938,937,1147,1148,1163,1162 806,923,924,939,938,1148,1149,1164,1163 807,924,925,940,939,1149,1150,1165,1164 808,925,926,941,940,1150,1151,1166,1165 809,926,927,942,941,1151,1152,1167,1166 810,927,928,943,942,1152,1153,1168,1167 811,928,929,944,943,1153,1154,1169,1168 812,929,930,945,944,1154,1155,1170,1169 813,931,932,947,946,1156,1157,1172,1171 814,932,933,948,947,1157,1158,1173,1172 815,933,934,949,948,1158,1159,1174,1173 816,934,935,950,949,1159,1160,1175,1174 817,935,936,951,950,1160,1161,1176,1175 818,936,937,952,951,1161,1162,1177,1176 819,937,938,953,952,1162,1163,1178,1177 820,938,939,954,953,1163,1164,1179,1178 821,939,940,955,954,1164,1165,1180,1179 822,940,941,956,955,1165,1166,1181,1180 823,941,942,957,956,1166,1167,1182,1181 824,942,943,958,957,1167,1168,1183,1182 825,943,944,959,958,1168,1169,1184,1183 826,944,945,960,959,1169,1170,1185,1184 827,946,947,962,961,1171,1172,1187,1186 828,947,948,963,962,1172,1173,1188,1187 829,948,949,964,963,1173,1174,1189,1188 830,949,950,965,964,1174,1175,1190,1189 831,950,951,966,965,1175,1176,1191,1190 832,951,952,967,966,1176,1177,1192,1191 833,952,953,968,967,1177,1178,1193,1192 834,953,954,969,968,1178,1179,1194,1193 835,954,955,970,969,1179,1180,1195,1194 836,955,956,971,970,1180,1181,1196,1195 837,956,957,972,971,1181,1182,1197,1196 838,957,958,973,972,1182,1183,1198,1197 839,958,959,974,973,1183,1184,1199,1198 840,959,960,975,974,1184,1185,1200,1199 841,961,962,977,976,1186,1187,1202,1201 842,962,963,978,977,1187,1188,1203,1202 843,963,964,979,978,1188,1189,1204,1203 844,964,965,980,979,1189,1190,1205,1204 845,965,966,981,980,1190,1191,1206,1205 846,966,967,982,981,1191,1192,1207,1206 847,967,968,983,982,1192,1193,1208,1207 848,968,969,984,983,1193,1194,1209,1208 849,969,970,985,984,1194,1195,1210,1209 850,970,971,986,985,1195,1196,1211,1210 851,971,972,987,986,1196,1197,1212,1211 852,972,973,988,987,1197,1198,1213,1212 853,973,974,989,988,1198,1199,1214,1213 854,974,975,990,989,1199,1200,1215,1214 855,976,977,992,991,1201,1202,1217,1216 856,977,978,993,992,1202,1203,1218,1217 857,978,979,994,993,1203,1204,1219,1218 858,979,980,995,994,1204,1205,1220,1219 859,980,981,996,995,1205,1206,1221,1220 860,981,982,997,996,1206,1207,1222,1221 861,982,983,998,997,1207,1208,1223,1222 862,983,984,999,998,1208,1209,1224,1223 863,984,985,1000,999,1209,1210,1225,1224 864,985,986,1001,1000,1210,1211,1226,1225 865,986,987,1002,1001,1211,1212,1227,1226 866,987,988,1003,1002,1212,1213,1228,1227 867,988,989,1004,1003,1213,1214,1229,1228 868,989,990,1005,1004,1214,1215,1230,1229 869,991,992,1007,1006,1216,1217,1232,1231 870,992,993,1008,1007,1217,1218,1233,1232 871,993,994,1009,1008,1218,1219,1234,1233 872,994,995,1010,1009,1219,1220,1235,1234 873,995,996,1011,1010,1220,1221,1236,1235 874,996,997,1012,1011,1221,1222,1237,1236 875,997,998,1013,1012,1222,1223,1238,1237 876,998,999,1014,1013,1223,1224,1239,1238 877,999,1000,1015,1014,1224,1225,1240,1239 878,1000,1001,1016,1015,1225,1226,1241,1240 879,1001,1002,1017,1016,1226,1227,1242,1241 880,1002,1003,1018,1017,1227,1228,1243,1242 881,1003,1004,1019,1018,1228,1229,1244,1243 882,1004,1005,1020,1019,1229,1230,1245,1244 883,1006,1007,1022,1021,1231,1232,1247,1246 884,1007,1008,1023,1022,1232,1233,1248,1247 885,1008,1009,1024,1023,1233,1234,1249,1248 886,1009,1010,1025,1024,1234,1235,1250,1249 887,1010,1011,1026,1025,1235,1236,1251,1250 888,1011,1012,1027,1026,1236,1237,1252,1251 889,1012,1013,1028,1027,1237,1238,1253,1252 890,1013,1014,1029,1028,1238,1239,1254,1253 891,1014,1015,1030,1029,1239,1240,1255,1254 892,1015,1016,1031,1030,1240,1241,1256,1255 893,1016,1017,1032,1031,1241,1242,1257,1256 894,1017,1018,1033,1032,1242,1243,1258,1257 895,1018,1019,1034,1033,1243,1244,1259,1258 896,1019,1020,1035,1034,1244,1245,1260,1259 897,1021,1022,1037,1036,1246,1247,1262,1261 898,1022,1023,1038,1037,1247,1248,1263,1262 899,1023,1024,1039,1038,1248,1249,1264,1263 900,1024,1025,1040,1039,1249,1250,1265,1264 901,1025,1026,1041,1040,1250,1251,1266,1265 902,1026,1027,1042,1041,1251,1252,1267,1266 903,1027,1028,1043,1042,1252,1253,1268,1267 904,1028,1029,1044,1043,1253,1254,1269,1268 905,1029,1030,1045,1044,1254,1255,1270,1269 906,1030,1031,1046,1045,1255,1256,1271,1270 907,1031,1032,1047,1046,1256,1257,1272,1271 908,1032,1033,1048,1047,1257,1258,1273,1272 909,1033,1034,1049,1048,1258,1259,1274,1273 910,1034,1035,1050,1049,1259,1260,1275,1274 911,1036,1037,1052,1051,1261,1262,1277,1276 912,1037,1038,1053,1052,1262,1263,1278,1277 913,1038,1039,1054,1053,1263,1264,1279,1278 914,1039,1040,1055,1054,1264,1265,1280,1279 915,1040,1041,1056,1055,1265,1266,1281,1280 916,1041,1042,1057,1056,1266,1267,1282,1281 917,1042,1043,1058,1057,1267,1268,1283,1282 918,1043,1044,1059,1058,1268,1269,1284,1283 919,1044,1045,1060,1059,1269,1270,1285,1284 920,1045,1046,1061,1060,1270,1271,1286,1285 921,1046,1047,1062,1061,1271,1272,1287,1286 922,1047,1048,1063,1062,1272,1273,1288,1287 923,1048,1049,1064,1063,1273,1274,1289,1288 924,1049,1050,1065,1064,1274,1275,1290,1289 925,1051,1052,1067,1066,1276,1277,1292,1291 926,1052,1053,1068,1067,1277,1278,1293,1292 927,1053,1054,1069,1068,1278,1279,1294,1293 928,1054,1055,1070,1069,1279,1280,1295,1294 929,1055,1056,1071,1070,1280,1281,1296,1295 930,1056,1057,1072,1071,1281,1282,1297,1296 931,1057,1058,1073,1072,1282,1283,1298,1297 932,1058,1059,1074,1073,1283,1284,1299,1298 933,1059,1060,1075,1074,1284,1285,1300,1299 934,1060,1061,1076,1075,1285,1286,1301,1300 935,1061,1062,1077,1076,1286,1287,1302,1301 936,1062,1063,1078,1077,1287,1288,1303,1302 937,1063,1064,1079,1078,1288,1289,1304,1303 938,1064,1065,1080,1079,1289,1290,1305,1304 939,1066,1067,1082,1081,1291,1292,1307,1306 940,1067,1068,1083,1082,1292,1293,1308,1307 941,1068,1069,1084,1083,1293,1294,1309,1308 942,1069,1070,1085,1084,1294,1295,1310,1309 943,1070,1071,1086,1085,1295,1296,1311,1310 944,1071,1072,1087,1086,1296,1297,1312,1311 945,1072,1073,1088,1087,1297,1298,1313,1312 946,1073,1074,1089,1088,1298,1299,1314,1313 947,1074,1075,1090,1089,1299,1300,1315,1314 948,1075,1076,1091,1090,1300,1301,1316,1315 949,1076,1077,1092,1091,1301,1302,1317,1316 950,1077,1078,1093,1092,1302,1303,1318,1317 951,1078,1079,1094,1093,1303,1304,1319,1318 952,1079,1080,1095,1094,1304,1305,1320,1319 953,1081,1082,1097,1096,1306,1307,1322,1321 954,1082,1083,1098,1097,1307,1308,1323,1322 955,1083,1084,1099,1098,1308,1309,1324,1323 956,1084,1085,1100,1099,1309,1310,1325,1324 957,1085,1086,1101,1100,1310,1311,1326,1325 958,1086,1087,1102,1101,1311,1312,1327,1326 959,1087,1088,1103,1102,1312,1313,1328,1327 960,1088,1089,1104,1103,1313,1314,1329,1328 961,1089,1090,1105,1104,1314,1315,1330,1329 962,1090,1091,1106,1105,1315,1316,1331,1330 963,1091,1092,1107,1106,1316,1317,1332,1331 964,1092,1093,1108,1107,1317,1318,1333,1332 965,1093,1094,1109,1108,1318,1319,1334,1333 966,1094,1095,1110,1109,1319,1320,1335,1334 967,1096,1097,1112,1111,1321,1322,1337,1336 968,1097,1098,1113,1112,1322,1323,1338,1337 969,1098,1099,1114,1113,1323,1324,1339,1338 970,1099,1100,1115,1114,1324,1325,1340,1339 971,1100,1101,1116,1115,1325,1326,1341,1340 972,1101,1102,1117,1116,1326,1327,1342,1341 973,1102,1103,1118,1117,1327,1328,1343,1342 974,1103,1104,1119,1118,1328,1329,1344,1343 975,1104,1105,1120,1119,1329,1330,1345,1344 976,1105,1106,1121,1120,1330,1331,1346,1345 977,1106,1107,1122,1121,1331,1332,1347,1346 978,1107,1108,1123,1122,1332,1333,1348,1347 979,1108,1109,1124,1123,1333,1334,1349,1348 980,1109,1110,1125,1124,1334,1335,1350,1349 981,1126,1127,1142,1141,1351,1352,1367,1366 982,1127,1128,1143,1142,1352,1353,1368,1367 983,1128,1129,1144,1143,1353,1354,1369,1368 984,1129,1130,1145,1144,1354,1355,1370,1369 985,1130,1131,1146,1145,1355,1356,1371,1370 986,1131,1132,1147,1146,1356,1357,1372,1371 987,1132,1133,1148,1147,1357,1358,1373,1372 988,1133,1134,1149,1148,1358,1359,1374,1373 989,1134,1135,1150,1149,1359,1360,1375,1374 990,1135,1136,1151,1150,1360,1361,1376,1375 991,1136,1137,1152,1151,1361,1362,1377,1376 992,1137,1138,1153,1152,1362,1363,1378,1377 993,1138,1139,1154,1153,1363,1364,1379,1378 994,1139,1140,1155,1154,1364,1365,1380,1379 995,1141,1142,1157,1156,1366,1367,1382,1381 996,1142,1143,1158,1157,1367,1368,1383,1382 997,1143,1144,1159,1158,1368,1369,1384,1383 998,1144,1145,1160,1159,1369,1370,1385,1384 999,1145,1146,1161,1160,1370,1371,1386,1385 1000,1146,1147,1162,1161,1371,1372,1387,1386 1001,1147,1148,1163,1162,1372,1373,1388,1387 1002,1148,1149,1164,1163,1373,1374,1389,1388 1003,1149,1150,1165,1164,1374,1375,1390,1389 1004,1150,1151,1166,1165,1375,1376,1391,1390 1005,1151,1152,1167,1166,1376,1377,1392,1391 1006,1152,1153,1168,1167,1377,1378,1393,1392 1007,1153,1154,1169,1168,1378,1379,1394,1393 1008,1154,1155,1170,1169,1379,1380,1395,1394 1009,1156,1157,1172,1171,1381,1382,1397,1396 1010,1157,1158,1173,1172,1382,1383,1398,1397 1011,1158,1159,1174,1173,1383,1384,1399,1398 1012,1159,1160,1175,1174,1384,1385,1400,1399 1013,1160,1161,1176,1175,1385,1386,1401,1400 1014,1161,1162,1177,1176,1386,1387,1402,1401 1015,1162,1163,1178,1177,1387,1388,1403,1402 1016,1163,1164,1179,1178,1388,1389,1404,1403 1017,1164,1165,1180,1179,1389,1390,1405,1404 1018,1165,1166,1181,1180,1390,1391,1406,1405 1019,1166,1167,1182,1181,1391,1392,1407,1406 1020,1167,1168,1183,1182,1392,1393,1408,1407 1021,1168,1169,1184,1183,1393,1394,1409,1408 1022,1169,1170,1185,1184,1394,1395,1410,1409 1023,1171,1172,1187,1186,1396,1397,1412,1411 1024,1172,1173,1188,1187,1397,1398,1413,1412 1025,1173,1174,1189,1188,1398,1399,1414,1413 1026,1174,1175,1190,1189,1399,1400,1415,1414 1027,1175,1176,1191,1190,1400,1401,1416,1415 1028,1176,1177,1192,1191,1401,1402,1417,1416 1029,1177,1178,1193,1192,1402,1403,1418,1417 1030,1178,1179,1194,1193,1403,1404,1419,1418 1031,1179,1180,1195,1194,1404,1405,1420,1419 1032,1180,1181,1196,1195,1405,1406,1421,1420 1033,1181,1182,1197,1196,1406,1407,1422,1421 1034,1182,1183,1198,1197,1407,1408,1423,1422 1035,1183,1184,1199,1198,1408,1409,1424,1423 1036,1184,1185,1200,1199,1409,1410,1425,1424 1037,1186,1187,1202,1201,1411,1412,1427,1426 1038,1187,1188,1203,1202,1412,1413,1428,1427 1039,1188,1189,1204,1203,1413,1414,1429,1428 1040,1189,1190,1205,1204,1414,1415,1430,1429 1041,1190,1191,1206,1205,1415,1416,1431,1430 1042,1191,1192,1207,1206,1416,1417,1432,1431 1043,1192,1193,1208,1207,1417,1418,1433,1432 1044,1193,1194,1209,1208,1418,1419,1434,1433 1045,1194,1195,1210,1209,1419,1420,1435,1434 1046,1195,1196,1211,1210,1420,1421,1436,1435 1047,1196,1197,1212,1211,1421,1422,1437,1436 1048,1197,1198,1213,1212,1422,1423,1438,1437 1049,1198,1199,1214,1213,1423,1424,1439,1438 1050,1199,1200,1215,1214,1424,1425,1440,1439 1051,1201,1202,1217,1216,1426,1427,1442,1441 1052,1202,1203,1218,1217,1427,1428,1443,1442 1053,1203,1204,1219,1218,1428,1429,1444,1443 1054,1204,1205,1220,1219,1429,1430,1445,1444 1055,1205,1206,1221,1220,1430,1431,1446,1445 1056,1206,1207,1222,1221,1431,1432,1447,1446 1057,1207,1208,1223,1222,1432,1433,1448,1447 1058,1208,1209,1224,1223,1433,1434,1449,1448 1059,1209,1210,1225,1224,1434,1435,1450,1449 1060,1210,1211,1226,1225,1435,1436,1451,1450 1061,1211,1212,1227,1226,1436,1437,1452,1451 1062,1212,1213,1228,1227,1437,1438,1453,1452 1063,1213,1214,1229,1228,1438,1439,1454,1453 1064,1214,1215,1230,1229,1439,1440,1455,1454 1065,1216,1217,1232,1231,1441,1442,1457,1456 1066,1217,1218,1233,1232,1442,1443,1458,1457 1067,1218,1219,1234,1233,1443,1444,1459,1458 1068,1219,1220,1235,1234,1444,1445,1460,1459 1069,1220,1221,1236,1235,1445,1446,1461,1460 1070,1221,1222,1237,1236,1446,1447,1462,1461 1071,1222,1223,1238,1237,1447,1448,1463,1462 1072,1223,1224,1239,1238,1448,1449,1464,1463 1073,1224,1225,1240,1239,1449,1450,1465,1464 1074,1225,1226,1241,1240,1450,1451,1466,1465 1075,1226,1227,1242,1241,1451,1452,1467,1466 1076,1227,1228,1243,1242,1452,1453,1468,1467 1077,1228,1229,1244,1243,1453,1454,1469,1468 1078,1229,1230,1245,1244,1454,1455,1470,1469 1079,1231,1232,1247,1246,1456,1457,1472,1471 1080,1232,1233,1248,1247,1457,1458,1473,1472 1081,1233,1234,1249,1248,1458,1459,1474,1473 1082,1234,1235,1250,1249,1459,1460,1475,1474 1083,1235,1236,1251,1250,1460,1461,1476,1475 1084,1236,1237,1252,1251,1461,1462,1477,1476 1085,1237,1238,1253,1252,1462,1463,1478,1477 1086,1238,1239,1254,1253,1463,1464,1479,1478 1087,1239,1240,1255,1254,1464,1465,1480,1479 1088,1240,1241,1256,1255,1465,1466,1481,1480 1089,1241,1242,1257,1256,1466,1467,1482,1481 1090,1242,1243,1258,1257,1467,1468,1483,1482 1091,1243,1244,1259,1258,1468,1469,1484,1483 1092,1244,1245,1260,1259,1469,1470,1485,1484 1093,1246,1247,1262,1261,1471,1472,1487,1486 1094,1247,1248,1263,1262,1472,1473,1488,1487 1095,1248,1249,1264,1263,1473,1474,1489,1488 1096,1249,1250,1265,1264,1474,1475,1490,1489 1097,1250,1251,1266,1265,1475,1476,1491,1490 1098,1251,1252,1267,1266,1476,1477,1492,1491 1099,1252,1253,1268,1267,1477,1478,1493,1492 1100,1253,1254,1269,1268,1478,1479,1494,1493 1101,1254,1255,1270,1269,1479,1480,1495,1494 1102,1255,1256,1271,1270,1480,1481,1496,1495 1103,1256,1257,1272,1271,1481,1482,1497,1496 1104,1257,1258,1273,1272,1482,1483,1498,1497 1105,1258,1259,1274,1273,1483,1484,1499,1498 1106,1259,1260,1275,1274,1484,1485,1500,1499 1107,1261,1262,1277,1276,1486,1487,1502,1501 1108,1262,1263,1278,1277,1487,1488,1503,1502 1109,1263,1264,1279,1278,1488,1489,1504,1503 1110,1264,1265,1280,1279,1489,1490,1505,1504 1111,1265,1266,1281,1280,1490,1491,1506,1505 1112,1266,1267,1282,1281,1491,1492,1507,1506 1113,1267,1268,1283,1282,1492,1493,1508,1507 1114,1268,1269,1284,1283,1493,1494,1509,1508 1115,1269,1270,1285,1284,1494,1495,1510,1509 1116,1270,1271,1286,1285,1495,1496,1511,1510 1117,1271,1272,1287,1286,1496,1497,1512,1511 1118,1272,1273,1288,1287,1497,1498,1513,1512 1119,1273,1274,1289,1288,1498,1499,1514,1513 1120,1274,1275,1290,1289,1499,1500,1515,1514 1121,1276,1277,1292,1291,1501,1502,1517,1516 1122,1277,1278,1293,1292,1502,1503,1518,1517 1123,1278,1279,1294,1293,1503,1504,1519,1518 1124,1279,1280,1295,1294,1504,1505,1520,1519 1125,1280,1281,1296,1295,1505,1506,1521,1520 1126,1281,1282,1297,1296,1506,1507,1522,1521 1127,1282,1283,1298,1297,1507,1508,1523,1522 1128,1283,1284,1299,1298,1508,1509,1524,1523 1129,1284,1285,1300,1299,1509,1510,1525,1524 1130,1285,1286,1301,1300,1510,1511,1526,1525 1131,1286,1287,1302,1301,1511,1512,1527,1526 1132,1287,1288,1303,1302,1512,1513,1528,1527 1133,1288,1289,1304,1303,1513,1514,1529,1528 1134,1289,1290,1305,1304,1514,1515,1530,1529 1135,1291,1292,1307,1306,1516,1517,1532,1531 1136,1292,1293,1308,1307,1517,1518,1533,1532 1137,1293,1294,1309,1308,1518,1519,1534,1533 1138,1294,1295,1310,1309,1519,1520,1535,1534 1139,1295,1296,1311,1310,1520,1521,1536,1535 1140,1296,1297,1312,1311,1521,1522,1537,1536 1141,1297,1298,1313,1312,1522,1523,1538,1537 1142,1298,1299,1314,1313,1523,1524,1539,1538 1143,1299,1300,1315,1314,1524,1525,1540,1539 1144,1300,1301,1316,1315,1525,1526,1541,1540 1145,1301,1302,1317,1316,1526,1527,1542,1541 1146,1302,1303,1318,1317,1527,1528,1543,1542 1147,1303,1304,1319,1318,1528,1529,1544,1543 1148,1304,1305,1320,1319,1529,1530,1545,1544 1149,1306,1307,1322,1321,1531,1532,1547,1546 1150,1307,1308,1323,1322,1532,1533,1548,1547 1151,1308,1309,1324,1323,1533,1534,1549,1548 1152,1309,1310,1325,1324,1534,1535,1550,1549 1153,1310,1311,1326,1325,1535,1536,1551,1550 1154,1311,1312,1327,1326,1536,1537,1552,1551 1155,1312,1313,1328,1327,1537,1538,1553,1552 1156,1313,1314,1329,1328,1538,1539,1554,1553 1157,1314,1315,1330,1329,1539,1540,1555,1554 1158,1315,1316,1331,1330,1540,1541,1556,1555 1159,1316,1317,1332,1331,1541,1542,1557,1556 1160,1317,1318,1333,1332,1542,1543,1558,1557 1161,1318,1319,1334,1333,1543,1544,1559,1558 1162,1319,1320,1335,1334,1544,1545,1560,1559 1163,1321,1322,1337,1336,1546,1547,1562,1561 1164,1322,1323,1338,1337,1547,1548,1563,1562 1165,1323,1324,1339,1338,1548,1549,1564,1563 1166,1324,1325,1340,1339,1549,1550,1565,1564 1167,1325,1326,1341,1340,1550,1551,1566,1565 1168,1326,1327,1342,1341,1551,1552,1567,1566 1169,1327,1328,1343,1342,1552,1553,1568,1567 1170,1328,1329,1344,1343,1553,1554,1569,1568 1171,1329,1330,1345,1344,1554,1555,1570,1569 1172,1330,1331,1346,1345,1555,1556,1571,1570 1173,1331,1332,1347,1346,1556,1557,1572,1571 1174,1332,1333,1348,1347,1557,1558,1573,1572 1175,1333,1334,1349,1348,1558,1559,1574,1573 1176,1334,1335,1350,1349,1559,1560,1575,1574 1177,1351,1352,1367,1366,1576,1577,1592,1591 1178,1352,1353,1368,1367,1577,1578,1593,1592 1179,1353,1354,1369,1368,1578,1579,1594,1593 1180,1354,1355,1370,1369,1579,1580,1595,1594 1181,1355,1356,1371,1370,1580,1581,1596,1595 1182,1356,1357,1372,1371,1581,1582,1597,1596 1183,1357,1358,1373,1372,1582,1583,1598,1597 1184,1358,1359,1374,1373,1583,1584,1599,1598 1185,1359,1360,1375,1374,1584,1585,1600,1599 1186,1360,1361,1376,1375,1585,1586,1601,1600 1187,1361,1362,1377,1376,1586,1587,1602,1601 1188,1362,1363,1378,1377,1587,1588,1603,1602 1189,1363,1364,1379,1378,1588,1589,1604,1603 1190,1364,1365,1380,1379,1589,1590,1605,1604 1191,1366,1367,1382,1381,1591,1592,1607,1606 1192,1367,1368,1383,1382,1592,1593,1608,1607 1193,1368,1369,1384,1383,1593,1594,1609,1608 1194,1369,1370,1385,1384,1594,1595,1610,1609 1195,1370,1371,1386,1385,1595,1596,1611,1610 1196,1371,1372,1387,1386,1596,1597,1612,1611 1197,1372,1373,1388,1387,1597,1598,1613,1612 1198,1373,1374,1389,1388,1598,1599,1614,1613 1199,1374,1375,1390,1389,1599,1600,1615,1614 1200,1375,1376,1391,1390,1600,1601,1616,1615 1201,1376,1377,1392,1391,1601,1602,1617,1616 1202,1377,1378,1393,1392,1602,1603,1618,1617 1203,1378,1379,1394,1393,1603,1604,1619,1618 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1468,1677,1678,1693,1692,1902,1903,1918,1917 1469,1678,1679,1694,1693,1903,1904,1919,1918 1470,1679,1680,1695,1694,1904,1905,1920,1919 1471,1681,1682,1697,1696,1906,1907,1922,1921 1472,1682,1683,1698,1697,1907,1908,1923,1922 1473,1683,1684,1699,1698,1908,1909,1924,1923 1474,1684,1685,1700,1699,1909,1910,1925,1924 1475,1685,1686,1701,1700,1910,1911,1926,1925 1476,1686,1687,1702,1701,1911,1912,1927,1926 1477,1687,1688,1703,1702,1912,1913,1928,1927 1478,1688,1689,1704,1703,1913,1914,1929,1928 1479,1689,1690,1705,1704,1914,1915,1930,1929 1480,1690,1691,1706,1705,1915,1916,1931,1930 1481,1691,1692,1707,1706,1916,1917,1932,1931 1482,1692,1693,1708,1707,1917,1918,1933,1932 1483,1693,1694,1709,1708,1918,1919,1934,1933 1484,1694,1695,1710,1709,1919,1920,1935,1934 1485,1696,1697,1712,1711,1921,1922,1937,1936 1486,1697,1698,1713,1712,1922,1923,1938,1937 1487,1698,1699,1714,1713,1923,1924,1939,1938 1488,1699,1700,1715,1714,1924,1925,1940,1939 1489,1700,1701,1716,1715,1925,1926,1941,1940 1490,1701,1702,1717,1716,1926,1927,1942,1941 1491,1702,1703,1718,1717,1927,1928,1943,1942 1492,1703,1704,1719,1718,1928,1929,1944,1943 1493,1704,1705,1720,1719,1929,1930,1945,1944 1494,1705,1706,1721,1720,1930,1931,1946,1945 1495,1706,1707,1722,1721,1931,1932,1947,1946 1496,1707,1708,1723,1722,1932,1933,1948,1947 1497,1708,1709,1724,1723,1933,1934,1949,1948 1498,1709,1710,1725,1724,1934,1935,1950,1949 1499,1711,1712,1727,1726,1936,1937,1952,1951 1500,1712,1713,1728,1727,1937,1938,1953,1952 1501,1713,1714,1729,1728,1938,1939,1954,1953 1502,1714,1715,1730,1729,1939,1940,1955,1954 1503,1715,1716,1731,1730,1940,1941,1956,1955 1504,1716,1717,1732,1731,1941,1942,1957,1956 1505,1717,1718,1733,1732,1942,1943,1958,1957 1506,1718,1719,1734,1733,1943,1944,1959,1958 1507,1719,1720,1735,1734,1944,1945,1960,1959 1508,1720,1721,1736,1735,1945,1946,1961,1960 1509,1721,1722,1737,1736,1946,1947,1962,1961 1510,1722,1723,1738,1737,1947,1948,1963,1962 1511,1723,1724,1739,1738,1948,1949,1964,1963 1512,1724,1725,1740,1739,1949,1950,1965,1964 1513,1726,1727,1742,1741,1951,1952,1967,1966 1514,1727,1728,1743,1742,1952,1953,1968,1967 1515,1728,1729,1744,1743,1953,1954,1969,1968 1516,1729,1730,1745,1744,1954,1955,1970,1969 1517,1730,1731,1746,1745,1955,1956,1971,1970 1518,1731,1732,1747,1746,1956,1957,1972,1971 1519,1732,1733,1748,1747,1957,1958,1973,1972 1520,1733,1734,1749,1748,1958,1959,1974,1973 1521,1734,1735,1750,1749,1959,1960,1975,1974 1522,1735,1736,1751,1750,1960,1961,1976,1975 1523,1736,1737,1752,1751,1961,1962,1977,1976 1524,1737,1738,1753,1752,1962,1963,1978,1977 1525,1738,1739,1754,1753,1963,1964,1979,1978 1526,1739,1740,1755,1754,1964,1965,1980,1979 1527,1741,1742,1757,1756,1966,1967,1982,1981 1528,1742,1743,1758,1757,1967,1968,1983,1982 1529,1743,1744,1759,1758,1968,1969,1984,1983 1530,1744,1745,1760,1759,1969,1970,1985,1984 1531,1745,1746,1761,1760,1970,1971,1986,1985 1532,1746,1747,1762,1761,1971,1972,1987,1986 1533,1747,1748,1763,1762,1972,1973,1988,1987 1534,1748,1749,1764,1763,1973,1974,1989,1988 1535,1749,1750,1765,1764,1974,1975,1990,1989 1536,1750,1751,1766,1765,1975,1976,1991,1990 1537,1751,1752,1767,1766,1976,1977,1992,1991 1538,1752,1753,1768,1767,1977,1978,1993,1992 1539,1753,1754,1769,1768,1978,1979,1994,1993 1540,1754,1755,1770,1769,1979,1980,1995,1994 1541,1756,1757,1772,1771,1981,1982,1997,1996 1542,1757,1758,1773,1772,1982,1983,1998,1997 1543,1758,1759,1774,1773,1983,1984,1999,1998 1544,1759,1760,1775,1774,1984,1985,2000,1999 1545,1760,1761,1776,1775,1985,1986,2001,2000 1546,1761,1762,1777,1776,1986,1987,2002,2001 1547,1762,1763,1778,1777,1987,1988,2003,2002 1548,1763,1764,1779,1778,1988,1989,2004,2003 1549,1764,1765,1780,1779,1989,1990,2005,2004 1550,1765,1766,1781,1780,1990,1991,2006,2005 1551,1766,1767,1782,1781,1991,1992,2007,2006 1552,1767,1768,1783,1782,1992,1993,2008,2007 1553,1768,1769,1784,1783,1993,1994,2009,2008 1554,1769,1770,1785,1784,1994,1995,2010,2009 1555,1771,1772,1787,1786,1996,1997,2012,2011 1556,1772,1773,1788,1787,1997,1998,2013,2012 1557,1773,1774,1789,1788,1998,1999,2014,2013 1558,1774,1775,1790,1789,1999,2000,2015,2014 1559,1775,1776,1791,1790,2000,2001,2016,2015 1560,1776,1777,1792,1791,2001,2002,2017,2016 1561,1777,1778,1793,1792,2002,2003,2018,2017 1562,1778,1779,1794,1793,2003,2004,2019,2018 1563,1779,1780,1795,1794,2004,2005,2020,2019 1564,1780,1781,1796,1795,2005,2006,2021,2020 1565,1781,1782,1797,1796,2006,2007,2022,2021 1566,1782,1783,1798,1797,2007,2008,2023,2022 1567,1783,1784,1799,1798,2008,2009,2024,2023 1568,1784,1785,1800,1799,2009,2010,2025,2024 1569,1801,1802,1817,1816,2026,2027,2042,2041 1570,1802,1803,1818,1817,2027,2028,2043,2042 1571,1803,1804,1819,1818,2028,2029,2044,2043 1572,1804,1805,1820,1819,2029,2030,2045,2044 1573,1805,1806,1821,1820,2030,2031,2046,2045 1574,1806,1807,1822,1821,2031,2032,2047,2046 1575,1807,1808,1823,1822,2032,2033,2048,2047 1576,1808,1809,1824,1823,2033,2034,2049,2048 1577,1809,1810,1825,1824,2034,2035,2050,2049 1578,1810,1811,1826,1825,2035,2036,2051,2050 1579,1811,1812,1827,1826,2036,2037,2052,2051 1580,1812,1813,1828,1827,2037,2038,2053,2052 1581,1813,1814,1829,1828,2038,2039,2054,2053 1582,1814,1815,1830,1829,2039,2040,2055,2054 1583,1816,1817,1832,1831,2041,2042,2057,2056 1584,1817,1818,1833,1832,2042,2043,2058,2057 1585,1818,1819,1834,1833,2043,2044,2059,2058 1586,1819,1820,1835,1834,2044,2045,2060,2059 1587,1820,1821,1836,1835,2045,2046,2061,2060 1588,1821,1822,1837,1836,2046,2047,2062,2061 1589,1822,1823,1838,1837,2047,2048,2063,2062 1590,1823,1824,1839,1838,2048,2049,2064,2063 1591,1824,1825,1840,1839,2049,2050,2065,2064 1592,1825,1826,1841,1840,2050,2051,2066,2065 1593,1826,1827,1842,1841,2051,2052,2067,2066 1594,1827,1828,1843,1842,2052,2053,2068,2067 1595,1828,1829,1844,1843,2053,2054,2069,2068 1596,1829,1830,1845,1844,2054,2055,2070,2069 1597,1831,1832,1847,1846,2056,2057,2072,2071 1598,1832,1833,1848,1847,2057,2058,2073,2072 1599,1833,1834,1849,1848,2058,2059,2074,2073 1600,1834,1835,1850,1849,2059,2060,2075,2074 1601,1835,1836,1851,1850,2060,2061,2076,2075 1602,1836,1837,1852,1851,2061,2062,2077,2076 1603,1837,1838,1853,1852,2062,2063,2078,2077 1604,1838,1839,1854,1853,2063,2064,2079,2078 1605,1839,1840,1855,1854,2064,2065,2080,2079 1606,1840,1841,1856,1855,2065,2066,2081,2080 1607,1841,1842,1857,1856,2066,2067,2082,2081 1608,1842,1843,1858,1857,2067,2068,2083,2082 1609,1843,1844,1859,1858,2068,2069,2084,2083 1610,1844,1845,1860,1859,2069,2070,2085,2084 1611,1846,1847,1862,1861,2071,2072,2087,2086 1612,1847,1848,1863,1862,2072,2073,2088,2087 1613,1848,1849,1864,1863,2073,2074,2089,2088 1614,1849,1850,1865,1864,2074,2075,2090,2089 1615,1850,1851,1866,1865,2075,2076,2091,2090 1616,1851,1852,1867,1866,2076,2077,2092,2091 1617,1852,1853,1868,1867,2077,2078,2093,2092 1618,1853,1854,1869,1868,2078,2079,2094,2093 1619,1854,1855,1870,1869,2079,2080,2095,2094 1620,1855,1856,1871,1870,2080,2081,2096,2095 1621,1856,1857,1872,1871,2081,2082,2097,2096 1622,1857,1858,1873,1872,2082,2083,2098,2097 1623,1858,1859,1874,1873,2083,2084,2099,2098 1624,1859,1860,1875,1874,2084,2085,2100,2099 1625,1861,1862,1877,1876,2086,2087,2102,2101 1626,1862,1863,1878,1877,2087,2088,2103,2102 1627,1863,1864,1879,1878,2088,2089,2104,2103 1628,1864,1865,1880,1879,2089,2090,2105,2104 1629,1865,1866,1881,1880,2090,2091,2106,2105 1630,1866,1867,1882,1881,2091,2092,2107,2106 1631,1867,1868,1883,1882,2092,2093,2108,2107 1632,1868,1869,1884,1883,2093,2094,2109,2108 1633,1869,1870,1885,1884,2094,2095,2110,2109 1634,1870,1871,1886,1885,2095,2096,2111,2110 1635,1871,1872,1887,1886,2096,2097,2112,2111 1636,1872,1873,1888,1887,2097,2098,2113,2112 1637,1873,1874,1889,1888,2098,2099,2114,2113 1638,1874,1875,1890,1889,2099,2100,2115,2114 1639,1876,1877,1892,1891,2101,2102,2117,2116 1640,1877,1878,1893,1892,2102,2103,2118,2117 1641,1878,1879,1894,1893,2103,2104,2119,2118 1642,1879,1880,1895,1894,2104,2105,2120,2119 1643,1880,1881,1896,1895,2105,2106,2121,2120 1644,1881,1882,1897,1896,2106,2107,2122,2121 1645,1882,1883,1898,1897,2107,2108,2123,2122 1646,1883,1884,1899,1898,2108,2109,2124,2123 1647,1884,1885,1900,1899,2109,2110,2125,2124 1648,1885,1886,1901,1900,2110,2111,2126,2125 1649,1886,1887,1902,1901,2111,2112,2127,2126 1650,1887,1888,1903,1902,2112,2113,2128,2127 1651,1888,1889,1904,1903,2113,2114,2129,2128 1652,1889,1890,1905,1904,2114,2115,2130,2129 1653,1891,1892,1907,1906,2116,2117,2132,2131 1654,1892,1893,1908,1907,2117,2118,2133,2132 1655,1893,1894,1909,1908,2118,2119,2134,2133 1656,1894,1895,1910,1909,2119,2120,2135,2134 1657,1895,1896,1911,1910,2120,2121,2136,2135 1658,1896,1897,1912,1911,2121,2122,2137,2136 1659,1897,1898,1913,1912,2122,2123,2138,2137 1660,1898,1899,1914,1913,2123,2124,2139,2138 1661,1899,1900,1915,1914,2124,2125,2140,2139 1662,1900,1901,1916,1915,2125,2126,2141,2140 1663,1901,1902,1917,1916,2126,2127,2142,2141 1664,1902,1903,1918,1917,2127,2128,2143,2142 1665,1903,1904,1919,1918,2128,2129,2144,2143 1666,1904,1905,1920,1919,2129,2130,2145,2144 1667,1906,1907,1922,1921,2131,2132,2147,2146 1668,1907,1908,1923,1922,2132,2133,2148,2147 1669,1908,1909,1924,1923,2133,2134,2149,2148 1670,1909,1910,1925,1924,2134,2135,2150,2149 1671,1910,1911,1926,1925,2135,2136,2151,2150 1672,1911,1912,1927,1926,2136,2137,2152,2151 1673,1912,1913,1928,1927,2137,2138,2153,2152 1674,1913,1914,1929,1928,2138,2139,2154,2153 1675,1914,1915,1930,1929,2139,2140,2155,2154 1676,1915,1916,1931,1930,2140,2141,2156,2155 1677,1916,1917,1932,1931,2141,2142,2157,2156 1678,1917,1918,1933,1932,2142,2143,2158,2157 1679,1918,1919,1934,1933,2143,2144,2159,2158 1680,1919,1920,1935,1934,2144,2145,2160,2159 1681,1921,1922,1937,1936,2146,2147,2162,2161 1682,1922,1923,1938,1937,2147,2148,2163,2162 1683,1923,1924,1939,1938,2148,2149,2164,2163 1684,1924,1925,1940,1939,2149,2150,2165,2164 1685,1925,1926,1941,1940,2150,2151,2166,2165 1686,1926,1927,1942,1941,2151,2152,2167,2166 1687,1927,1928,1943,1942,2152,2153,2168,2167 1688,1928,1929,1944,1943,2153,2154,2169,2168 1689,1929,1930,1945,1944,2154,2155,2170,2169 1690,1930,1931,1946,1945,2155,2156,2171,2170 1691,1931,1932,1947,1946,2156,2157,2172,2171 1692,1932,1933,1948,1947,2157,2158,2173,2172 1693,1933,1934,1949,1948,2158,2159,2174,2173 1694,1934,1935,1950,1949,2159,2160,2175,2174 1695,1936,1937,1952,1951,2161,2162,2177,2176 1696,1937,1938,1953,1952,2162,2163,2178,2177 1697,1938,1939,1954,1953,2163,2164,2179,2178 1698,1939,1940,1955,1954,2164,2165,2180,2179 1699,1940,1941,1956,1955,2165,2166,2181,2180 1700,1941,1942,1957,1956,2166,2167,2182,2181 1701,1942,1943,1958,1957,2167,2168,2183,2182 1702,1943,1944,1959,1958,2168,2169,2184,2183 1703,1944,1945,1960,1959,2169,2170,2185,2184 1704,1945,1946,1961,1960,2170,2171,2186,2185 1705,1946,1947,1962,1961,2171,2172,2187,2186 1706,1947,1948,1963,1962,2172,2173,2188,2187 1707,1948,1949,1964,1963,2173,2174,2189,2188 1708,1949,1950,1965,1964,2174,2175,2190,2189 1709,1951,1952,1967,1966,2176,2177,2192,2191 1710,1952,1953,1968,1967,2177,2178,2193,2192 1711,1953,1954,1969,1968,2178,2179,2194,2193 1712,1954,1955,1970,1969,2179,2180,2195,2194 1713,1955,1956,1971,1970,2180,2181,2196,2195 1714,1956,1957,1972,1971,2181,2182,2197,2196 1715,1957,1958,1973,1972,2182,2183,2198,2197 1716,1958,1959,1974,1973,2183,2184,2199,2198 1717,1959,1960,1975,1974,2184,2185,2200,2199 1718,1960,1961,1976,1975,2185,2186,2201,2200 1719,1961,1962,1977,1976,2186,2187,2202,2201 1720,1962,1963,1978,1977,2187,2188,2203,2202 1721,1963,1964,1979,1978,2188,2189,2204,2203 1722,1964,1965,1980,1979,2189,2190,2205,2204 1723,1966,1967,1982,1981,2191,2192,2207,2206 1724,1967,1968,1983,1982,2192,2193,2208,2207 1725,1968,1969,1984,1983,2193,2194,2209,2208 1726,1969,1970,1985,1984,2194,2195,2210,2209 1727,1970,1971,1986,1985,2195,2196,2211,2210 1728,1971,1972,1987,1986,2196,2197,2212,2211 1729,1972,1973,1988,1987,2197,2198,2213,2212 1730,1973,1974,1989,1988,2198,2199,2214,2213 1731,1974,1975,1990,1989,2199,2200,2215,2214 1732,1975,1976,1991,1990,2200,2201,2216,2215 1733,1976,1977,1992,1991,2201,2202,2217,2216 1734,1977,1978,1993,1992,2202,2203,2218,2217 1735,1978,1979,1994,1993,2203,2204,2219,2218 1736,1979,1980,1995,1994,2204,2205,2220,2219 1737,1981,1982,1997,1996,2206,2207,2222,2221 1738,1982,1983,1998,1997,2207,2208,2223,2222 1739,1983,1984,1999,1998,2208,2209,2224,2223 1740,1984,1985,2000,1999,2209,2210,2225,2224 1741,1985,1986,2001,2000,2210,2211,2226,2225 1742,1986,1987,2002,2001,2211,2212,2227,2226 1743,1987,1988,2003,2002,2212,2213,2228,2227 1744,1988,1989,2004,2003,2213,2214,2229,2228 1745,1989,1990,2005,2004,2214,2215,2230,2229 1746,1990,1991,2006,2005,2215,2216,2231,2230 1747,1991,1992,2007,2006,2216,2217,2232,2231 1748,1992,1993,2008,2007,2217,2218,2233,2232 1749,1993,1994,2009,2008,2218,2219,2234,2233 1750,1994,1995,2010,2009,2219,2220,2235,2234 1751,1996,1997,2012,2011,2221,2222,2237,2236 1752,1997,1998,2013,2012,2222,2223,2238,2237 1753,1998,1999,2014,2013,2223,2224,2239,2238 1754,1999,2000,2015,2014,2224,2225,2240,2239 1755,2000,2001,2016,2015,2225,2226,2241,2240 1756,2001,2002,2017,2016,2226,2227,2242,2241 1757,2002,2003,2018,2017,2227,2228,2243,2242 1758,2003,2004,2019,2018,2228,2229,2244,2243 1759,2004,2005,2020,2019,2229,2230,2245,2244 1760,2005,2006,2021,2020,2230,2231,2246,2245 1761,2006,2007,2022,2021,2231,2232,2247,2246 1762,2007,2008,2023,2022,2232,2233,2248,2247 1763,2008,2009,2024,2023,2233,2234,2249,2248 1764,2009,2010,2025,2024,2234,2235,2250,2249 1765,2026,2027,2042,2041,2251,2252,2267,2266 1766,2027,2028,2043,2042,2252,2253,2268,2267 1767,2028,2029,2044,2043,2253,2254,2269,2268 1768,2029,2030,2045,2044,2254,2255,2270,2269 1769,2030,2031,2046,2045,2255,2256,2271,2270 1770,2031,2032,2047,2046,2256,2257,2272,2271 1771,2032,2033,2048,2047,2257,2258,2273,2272 1772,2033,2034,2049,2048,2258,2259,2274,2273 1773,2034,2035,2050,2049,2259,2260,2275,2274 1774,2035,2036,2051,2050,2260,2261,2276,2275 1775,2036,2037,2052,2051,2261,2262,2277,2276 1776,2037,2038,2053,2052,2262,2263,2278,2277 1777,2038,2039,2054,2053,2263,2264,2279,2278 1778,2039,2040,2055,2054,2264,2265,2280,2279 1779,2041,2042,2057,2056,2266,2267,2282,2281 1780,2042,2043,2058,2057,2267,2268,2283,2282 1781,2043,2044,2059,2058,2268,2269,2284,2283 1782,2044,2045,2060,2059,2269,2270,2285,2284 1783,2045,2046,2061,2060,2270,2271,2286,2285 1784,2046,2047,2062,2061,2271,2272,2287,2286 1785,2047,2048,2063,2062,2272,2273,2288,2287 1786,2048,2049,2064,2063,2273,2274,2289,2288 1787,2049,2050,2065,2064,2274,2275,2290,2289 1788,2050,2051,2066,2065,2275,2276,2291,2290 1789,2051,2052,2067,2066,2276,2277,2292,2291 1790,2052,2053,2068,2067,2277,2278,2293,2292 1791,2053,2054,2069,2068,2278,2279,2294,2293 1792,2054,2055,2070,2069,2279,2280,2295,2294 1793,2056,2057,2072,2071,2281,2282,2297,2296 1794,2057,2058,2073,2072,2282,2283,2298,2297 1795,2058,2059,2074,2073,2283,2284,2299,2298 1796,2059,2060,2075,2074,2284,2285,2300,2299 1797,2060,2061,2076,2075,2285,2286,2301,2300 1798,2061,2062,2077,2076,2286,2287,2302,2301 1799,2062,2063,2078,2077,2287,2288,2303,2302 1800,2063,2064,2079,2078,2288,2289,2304,2303 1801,2064,2065,2080,2079,2289,2290,2305,2304 1802,2065,2066,2081,2080,2290,2291,2306,2305 1803,2066,2067,2082,2081,2291,2292,2307,2306 1804,2067,2068,2083,2082,2292,2293,2308,2307 1805,2068,2069,2084,2083,2293,2294,2309,2308 1806,2069,2070,2085,2084,2294,2295,2310,2309 1807,2071,2072,2087,2086,2296,2297,2312,2311 1808,2072,2073,2088,2087,2297,2298,2313,2312 1809,2073,2074,2089,2088,2298,2299,2314,2313 1810,2074,2075,2090,2089,2299,2300,2315,2314 1811,2075,2076,2091,2090,2300,2301,2316,2315 1812,2076,2077,2092,2091,2301,2302,2317,2316 1813,2077,2078,2093,2092,2302,2303,2318,2317 1814,2078,2079,2094,2093,2303,2304,2319,2318 1815,2079,2080,2095,2094,2304,2305,2320,2319 1816,2080,2081,2096,2095,2305,2306,2321,2320 1817,2081,2082,2097,2096,2306,2307,2322,2321 1818,2082,2083,2098,2097,2307,2308,2323,2322 1819,2083,2084,2099,2098,2308,2309,2324,2323 1820,2084,2085,2100,2099,2309,2310,2325,2324 1821,2086,2087,2102,2101,2311,2312,2327,2326 1822,2087,2088,2103,2102,2312,2313,2328,2327 1823,2088,2089,2104,2103,2313,2314,2329,2328 1824,2089,2090,2105,2104,2314,2315,2330,2329 1825,2090,2091,2106,2105,2315,2316,2331,2330 1826,2091,2092,2107,2106,2316,2317,2332,2331 1827,2092,2093,2108,2107,2317,2318,2333,2332 1828,2093,2094,2109,2108,2318,2319,2334,2333 1829,2094,2095,2110,2109,2319,2320,2335,2334 1830,2095,2096,2111,2110,2320,2321,2336,2335 1831,2096,2097,2112,2111,2321,2322,2337,2336 1832,2097,2098,2113,2112,2322,2323,2338,2337 1833,2098,2099,2114,2113,2323,2324,2339,2338 1834,2099,2100,2115,2114,2324,2325,2340,2339 1835,2101,2102,2117,2116,2326,2327,2342,2341 1836,2102,2103,2118,2117,2327,2328,2343,2342 1837,2103,2104,2119,2118,2328,2329,2344,2343 1838,2104,2105,2120,2119,2329,2330,2345,2344 1839,2105,2106,2121,2120,2330,2331,2346,2345 1840,2106,2107,2122,2121,2331,2332,2347,2346 1841,2107,2108,2123,2122,2332,2333,2348,2347 1842,2108,2109,2124,2123,2333,2334,2349,2348 1843,2109,2110,2125,2124,2334,2335,2350,2349 1844,2110,2111,2126,2125,2335,2336,2351,2350 1845,2111,2112,2127,2126,2336,2337,2352,2351 1846,2112,2113,2128,2127,2337,2338,2353,2352 1847,2113,2114,2129,2128,2338,2339,2354,2353 1848,2114,2115,2130,2129,2339,2340,2355,2354 1849,2116,2117,2132,2131,2341,2342,2357,2356 1850,2117,2118,2133,2132,2342,2343,2358,2357 1851,2118,2119,2134,2133,2343,2344,2359,2358 1852,2119,2120,2135,2134,2344,2345,2360,2359 1853,2120,2121,2136,2135,2345,2346,2361,2360 1854,2121,2122,2137,2136,2346,2347,2362,2361 1855,2122,2123,2138,2137,2347,2348,2363,2362 1856,2123,2124,2139,2138,2348,2349,2364,2363 1857,2124,2125,2140,2139,2349,2350,2365,2364 1858,2125,2126,2141,2140,2350,2351,2366,2365 1859,2126,2127,2142,2141,2351,2352,2367,2366 1860,2127,2128,2143,2142,2352,2353,2368,2367 1861,2128,2129,2144,2143,2353,2354,2369,2368 1862,2129,2130,2145,2144,2354,2355,2370,2369 1863,2131,2132,2147,2146,2356,2357,2372,2371 1864,2132,2133,2148,2147,2357,2358,2373,2372 1865,2133,2134,2149,2148,2358,2359,2374,2373 1866,2134,2135,2150,2149,2359,2360,2375,2374 1867,2135,2136,2151,2150,2360,2361,2376,2375 1868,2136,2137,2152,2151,2361,2362,2377,2376 1869,2137,2138,2153,2152,2362,2363,2378,2377 1870,2138,2139,2154,2153,2363,2364,2379,2378 1871,2139,2140,2155,2154,2364,2365,2380,2379 1872,2140,2141,2156,2155,2365,2366,2381,2380 1873,2141,2142,2157,2156,2366,2367,2382,2381 1874,2142,2143,2158,2157,2367,2368,2383,2382 1875,2143,2144,2159,2158,2368,2369,2384,2383 1876,2144,2145,2160,2159,2369,2370,2385,2384 1877,2146,2147,2162,2161,2371,2372,2387,2386 1878,2147,2148,2163,2162,2372,2373,2388,2387 1879,2148,2149,2164,2163,2373,2374,2389,2388 1880,2149,2150,2165,2164,2374,2375,2390,2389 1881,2150,2151,2166,2165,2375,2376,2391,2390 1882,2151,2152,2167,2166,2376,2377,2392,2391 1883,2152,2153,2168,2167,2377,2378,2393,2392 1884,2153,2154,2169,2168,2378,2379,2394,2393 1885,2154,2155,2170,2169,2379,2380,2395,2394 1886,2155,2156,2171,2170,2380,2381,2396,2395 1887,2156,2157,2172,2171,2381,2382,2397,2396 1888,2157,2158,2173,2172,2382,2383,2398,2397 1889,2158,2159,2174,2173,2383,2384,2399,2398 1890,2159,2160,2175,2174,2384,2385,2400,2399 1891,2161,2162,2177,2176,2386,2387,2402,2401 1892,2162,2163,2178,2177,2387,2388,2403,2402 1893,2163,2164,2179,2178,2388,2389,2404,2403 1894,2164,2165,2180,2179,2389,2390,2405,2404 1895,2165,2166,2181,2180,2390,2391,2406,2405 1896,2166,2167,2182,2181,2391,2392,2407,2406 1897,2167,2168,2183,2182,2392,2393,2408,2407 1898,2168,2169,2184,2183,2393,2394,2409,2408 1899,2169,2170,2185,2184,2394,2395,2410,2409 1900,2170,2171,2186,2185,2395,2396,2411,2410 1901,2171,2172,2187,2186,2396,2397,2412,2411 1902,2172,2173,2188,2187,2397,2398,2413,2412 1903,2173,2174,2189,2188,2398,2399,2414,2413 1904,2174,2175,2190,2189,2399,2400,2415,2414 1905,2176,2177,2192,2191,2401,2402,2417,2416 1906,2177,2178,2193,2192,2402,2403,2418,2417 1907,2178,2179,2194,2193,2403,2404,2419,2418 1908,2179,2180,2195,2194,2404,2405,2420,2419 1909,2180,2181,2196,2195,2405,2406,2421,2420 1910,2181,2182,2197,2196,2406,2407,2422,2421 1911,2182,2183,2198,2197,2407,2408,2423,2422 1912,2183,2184,2199,2198,2408,2409,2424,2423 1913,2184,2185,2200,2199,2409,2410,2425,2424 1914,2185,2186,2201,2200,2410,2411,2426,2425 1915,2186,2187,2202,2201,2411,2412,2427,2426 1916,2187,2188,2203,2202,2412,2413,2428,2427 1917,2188,2189,2204,2203,2413,2414,2429,2428 1918,2189,2190,2205,2204,2414,2415,2430,2429 1919,2191,2192,2207,2206,2416,2417,2432,2431 1920,2192,2193,2208,2207,2417,2418,2433,2432 1921,2193,2194,2209,2208,2418,2419,2434,2433 1922,2194,2195,2210,2209,2419,2420,2435,2434 1923,2195,2196,2211,2210,2420,2421,2436,2435 1924,2196,2197,2212,2211,2421,2422,2437,2436 1925,2197,2198,2213,2212,2422,2423,2438,2437 1926,2198,2199,2214,2213,2423,2424,2439,2438 1927,2199,2200,2215,2214,2424,2425,2440,2439 1928,2200,2201,2216,2215,2425,2426,2441,2440 1929,2201,2202,2217,2216,2426,2427,2442,2441 1930,2202,2203,2218,2217,2427,2428,2443,2442 1931,2203,2204,2219,2218,2428,2429,2444,2443 1932,2204,2205,2220,2219,2429,2430,2445,2444 1933,2206,2207,2222,2221,2431,2432,2447,2446 1934,2207,2208,2223,2222,2432,2433,2448,2447 1935,2208,2209,2224,2223,2433,2434,2449,2448 1936,2209,2210,2225,2224,2434,2435,2450,2449 1937,2210,2211,2226,2225,2435,2436,2451,2450 1938,2211,2212,2227,2226,2436,2437,2452,2451 1939,2212,2213,2228,2227,2437,2438,2453,2452 1940,2213,2214,2229,2228,2438,2439,2454,2453 1941,2214,2215,2230,2229,2439,2440,2455,2454 1942,2215,2216,2231,2230,2440,2441,2456,2455 1943,2216,2217,2232,2231,2441,2442,2457,2456 1944,2217,2218,2233,2232,2442,2443,2458,2457 1945,2218,2219,2234,2233,2443,2444,2459,2458 1946,2219,2220,2235,2234,2444,2445,2460,2459 1947,2221,2222,2237,2236,2446,2447,2462,2461 1948,2222,2223,2238,2237,2447,2448,2463,2462 1949,2223,2224,2239,2238,2448,2449,2464,2463 1950,2224,2225,2240,2239,2449,2450,2465,2464 1951,2225,2226,2241,2240,2450,2451,2466,2465 1952,2226,2227,2242,2241,2451,2452,2467,2466 1953,2227,2228,2243,2242,2452,2453,2468,2467 1954,2228,2229,2244,2243,2453,2454,2469,2468 1955,2229,2230,2245,2244,2454,2455,2470,2469 1956,2230,2231,2246,2245,2455,2456,2471,2470 1957,2231,2232,2247,2246,2456,2457,2472,2471 1958,2232,2233,2248,2247,2457,2458,2473,2472 1959,2233,2234,2249,2248,2458,2459,2474,2473 1960,2234,2235,2250,2249,2459,2460,2475,2474 1961,2251,2252,2267,2266,2476,2477,2492,2491 1962,2252,2253,2268,2267,2477,2478,2493,2492 1963,2253,2254,2269,2268,2478,2479,2494,2493 1964,2254,2255,2270,2269,2479,2480,2495,2494 1965,2255,2256,2271,2270,2480,2481,2496,2495 1966,2256,2257,2272,2271,2481,2482,2497,2496 1967,2257,2258,2273,2272,2482,2483,2498,2497 1968,2258,2259,2274,2273,2483,2484,2499,2498 1969,2259,2260,2275,2274,2484,2485,2500,2499 1970,2260,2261,2276,2275,2485,2486,2501,2500 1971,2261,2262,2277,2276,2486,2487,2502,2501 1972,2262,2263,2278,2277,2487,2488,2503,2502 1973,2263,2264,2279,2278,2488,2489,2504,2503 1974,2264,2265,2280,2279,2489,2490,2505,2504 1975,2266,2267,2282,2281,2491,2492,2507,2506 1976,2267,2268,2283,2282,2492,2493,2508,2507 1977,2268,2269,2284,2283,2493,2494,2509,2508 1978,2269,2270,2285,2284,2494,2495,2510,2509 1979,2270,2271,2286,2285,2495,2496,2511,2510 1980,2271,2272,2287,2286,2496,2497,2512,2511 1981,2272,2273,2288,2287,2497,2498,2513,2512 1982,2273,2274,2289,2288,2498,2499,2514,2513 1983,2274,2275,2290,2289,2499,2500,2515,2514 1984,2275,2276,2291,2290,2500,2501,2516,2515 1985,2276,2277,2292,2291,2501,2502,2517,2516 1986,2277,2278,2293,2292,2502,2503,2518,2517 1987,2278,2279,2294,2293,2503,2504,2519,2518 1988,2279,2280,2295,2294,2504,2505,2520,2519 1989,2281,2282,2297,2296,2506,2507,2522,2521 1990,2282,2283,2298,2297,2507,2508,2523,2522 1991,2283,2284,2299,2298,2508,2509,2524,2523 1992,2284,2285,2300,2299,2509,2510,2525,2524 1993,2285,2286,2301,2300,2510,2511,2526,2525 1994,2286,2287,2302,2301,2511,2512,2527,2526 1995,2287,2288,2303,2302,2512,2513,2528,2527 1996,2288,2289,2304,2303,2513,2514,2529,2528 1997,2289,2290,2305,2304,2514,2515,2530,2529 1998,2290,2291,2306,2305,2515,2516,2531,2530 1999,2291,2292,2307,2306,2516,2517,2532,2531 2000,2292,2293,2308,2307,2517,2518,2533,2532 2001,2293,2294,2309,2308,2518,2519,2534,2533 2002,2294,2295,2310,2309,2519,2520,2535,2534 2003,2296,2297,2312,2311,2521,2522,2537,2536 2004,2297,2298,2313,2312,2522,2523,2538,2537 2005,2298,2299,2314,2313,2523,2524,2539,2538 2006,2299,2300,2315,2314,2524,2525,2540,2539 2007,2300,2301,2316,2315,2525,2526,2541,2540 2008,2301,2302,2317,2316,2526,2527,2542,2541 2009,2302,2303,2318,2317,2527,2528,2543,2542 2010,2303,2304,2319,2318,2528,2529,2544,2543 2011,2304,2305,2320,2319,2529,2530,2545,2544 2012,2305,2306,2321,2320,2530,2531,2546,2545 2013,2306,2307,2322,2321,2531,2532,2547,2546 2014,2307,2308,2323,2322,2532,2533,2548,2547 2015,2308,2309,2324,2323,2533,2534,2549,2548 2016,2309,2310,2325,2324,2534,2535,2550,2549 2017,2311,2312,2327,2326,2536,2537,2552,2551 2018,2312,2313,2328,2327,2537,2538,2553,2552 2019,2313,2314,2329,2328,2538,2539,2554,2553 2020,2314,2315,2330,2329,2539,2540,2555,2554 2021,2315,2316,2331,2330,2540,2541,2556,2555 2022,2316,2317,2332,2331,2541,2542,2557,2556 2023,2317,2318,2333,2332,2542,2543,2558,2557 2024,2318,2319,2334,2333,2543,2544,2559,2558 2025,2319,2320,2335,2334,2544,2545,2560,2559 2026,2320,2321,2336,2335,2545,2546,2561,2560 2027,2321,2322,2337,2336,2546,2547,2562,2561 2028,2322,2323,2338,2337,2547,2548,2563,2562 2029,2323,2324,2339,2338,2548,2549,2564,2563 2030,2324,2325,2340,2339,2549,2550,2565,2564 2031,2326,2327,2342,2341,2551,2552,2567,2566 2032,2327,2328,2343,2342,2552,2553,2568,2567 2033,2328,2329,2344,2343,2553,2554,2569,2568 2034,2329,2330,2345,2344,2554,2555,2570,2569 2035,2330,2331,2346,2345,2555,2556,2571,2570 2036,2331,2332,2347,2346,2556,2557,2572,2571 2037,2332,2333,2348,2347,2557,2558,2573,2572 2038,2333,2334,2349,2348,2558,2559,2574,2573 2039,2334,2335,2350,2349,2559,2560,2575,2574 2040,2335,2336,2351,2350,2560,2561,2576,2575 2041,2336,2337,2352,2351,2561,2562,2577,2576 2042,2337,2338,2353,2352,2562,2563,2578,2577 2043,2338,2339,2354,2353,2563,2564,2579,2578 2044,2339,2340,2355,2354,2564,2565,2580,2579 2045,2341,2342,2357,2356,2566,2567,2582,2581 2046,2342,2343,2358,2357,2567,2568,2583,2582 2047,2343,2344,2359,2358,2568,2569,2584,2583 2048,2344,2345,2360,2359,2569,2570,2585,2584 2049,2345,2346,2361,2360,2570,2571,2586,2585 2050,2346,2347,2362,2361,2571,2572,2587,2586 2051,2347,2348,2363,2362,2572,2573,2588,2587 2052,2348,2349,2364,2363,2573,2574,2589,2588 2053,2349,2350,2365,2364,2574,2575,2590,2589 2054,2350,2351,2366,2365,2575,2576,2591,2590 2055,2351,2352,2367,2366,2576,2577,2592,2591 2056,2352,2353,2368,2367,2577,2578,2593,2592 2057,2353,2354,2369,2368,2578,2579,2594,2593 2058,2354,2355,2370,2369,2579,2580,2595,2594 2059,2356,2357,2372,2371,2581,2582,2597,2596 2060,2357,2358,2373,2372,2582,2583,2598,2597 2061,2358,2359,2374,2373,2583,2584,2599,2598 2062,2359,2360,2375,2374,2584,2585,2600,2599 2063,2360,2361,2376,2375,2585,2586,2601,2600 2064,2361,2362,2377,2376,2586,2587,2602,2601 2065,2362,2363,2378,2377,2587,2588,2603,2602 2066,2363,2364,2379,2378,2588,2589,2604,2603 2067,2364,2365,2380,2379,2589,2590,2605,2604 2068,2365,2366,2381,2380,2590,2591,2606,2605 2069,2366,2367,2382,2381,2591,2592,2607,2606 2070,2367,2368,2383,2382,2592,2593,2608,2607 2071,2368,2369,2384,2383,2593,2594,2609,2608 2072,2369,2370,2385,2384,2594,2595,2610,2609 2073,2371,2372,2387,2386,2596,2597,2612,2611 2074,2372,2373,2388,2387,2597,2598,2613,2612 2075,2373,2374,2389,2388,2598,2599,2614,2613 2076,2374,2375,2390,2389,2599,2600,2615,2614 2077,2375,2376,2391,2390,2600,2601,2616,2615 2078,2376,2377,2392,2391,2601,2602,2617,2616 2079,2377,2378,2393,2392,2602,2603,2618,2617 2080,2378,2379,2394,2393,2603,2604,2619,2618 2081,2379,2380,2395,2394,2604,2605,2620,2619 2082,2380,2381,2396,2395,2605,2606,2621,2620 2083,2381,2382,2397,2396,2606,2607,2622,2621 2084,2382,2383,2398,2397,2607,2608,2623,2622 2085,2383,2384,2399,2398,2608,2609,2624,2623 2086,2384,2385,2400,2399,2609,2610,2625,2624 2087,2386,2387,2402,2401,2611,2612,2627,2626 2088,2387,2388,2403,2402,2612,2613,2628,2627 2089,2388,2389,2404,2403,2613,2614,2629,2628 2090,2389,2390,2405,2404,2614,2615,2630,2629 2091,2390,2391,2406,2405,2615,2616,2631,2630 2092,2391,2392,2407,2406,2616,2617,2632,2631 2093,2392,2393,2408,2407,2617,2618,2633,2632 2094,2393,2394,2409,2408,2618,2619,2634,2633 2095,2394,2395,2410,2409,2619,2620,2635,2634 2096,2395,2396,2411,2410,2620,2621,2636,2635 2097,2396,2397,2412,2411,2621,2622,2637,2636 2098,2397,2398,2413,2412,2622,2623,2638,2637 2099,2398,2399,2414,2413,2623,2624,2639,2638 2100,2399,2400,2415,2414,2624,2625,2640,2639 2101,2401,2402,2417,2416,2626,2627,2642,2641 2102,2402,2403,2418,2417,2627,2628,2643,2642 2103,2403,2404,2419,2418,2628,2629,2644,2643 2104,2404,2405,2420,2419,2629,2630,2645,2644 2105,2405,2406,2421,2420,2630,2631,2646,2645 2106,2406,2407,2422,2421,2631,2632,2647,2646 2107,2407,2408,2423,2422,2632,2633,2648,2647 2108,2408,2409,2424,2423,2633,2634,2649,2648 2109,2409,2410,2425,2424,2634,2635,2650,2649 2110,2410,2411,2426,2425,2635,2636,2651,2650 2111,2411,2412,2427,2426,2636,2637,2652,2651 2112,2412,2413,2428,2427,2637,2638,2653,2652 2113,2413,2414,2429,2428,2638,2639,2654,2653 2114,2414,2415,2430,2429,2639,2640,2655,2654 2115,2416,2417,2432,2431,2641,2642,2657,2656 2116,2417,2418,2433,2432,2642,2643,2658,2657 2117,2418,2419,2434,2433,2643,2644,2659,2658 2118,2419,2420,2435,2434,2644,2645,2660,2659 2119,2420,2421,2436,2435,2645,2646,2661,2660 2120,2421,2422,2437,2436,2646,2647,2662,2661 2121,2422,2423,2438,2437,2647,2648,2663,2662 2122,2423,2424,2439,2438,2648,2649,2664,2663 2123,2424,2425,2440,2439,2649,2650,2665,2664 2124,2425,2426,2441,2440,2650,2651,2666,2665 2125,2426,2427,2442,2441,2651,2652,2667,2666 2126,2427,2428,2443,2442,2652,2653,2668,2667 2127,2428,2429,2444,2443,2653,2654,2669,2668 2128,2429,2430,2445,2444,2654,2655,2670,2669 2129,2431,2432,2447,2446,2656,2657,2672,2671 2130,2432,2433,2448,2447,2657,2658,2673,2672 2131,2433,2434,2449,2448,2658,2659,2674,2673 2132,2434,2435,2450,2449,2659,2660,2675,2674 2133,2435,2436,2451,2450,2660,2661,2676,2675 2134,2436,2437,2452,2451,2661,2662,2677,2676 2135,2437,2438,2453,2452,2662,2663,2678,2677 2136,2438,2439,2454,2453,2663,2664,2679,2678 2137,2439,2440,2455,2454,2664,2665,2680,2679 2138,2440,2441,2456,2455,2665,2666,2681,2680 2139,2441,2442,2457,2456,2666,2667,2682,2681 2140,2442,2443,2458,2457,2667,2668,2683,2682 2141,2443,2444,2459,2458,2668,2669,2684,2683 2142,2444,2445,2460,2459,2669,2670,2685,2684 2143,2446,2447,2462,2461,2671,2672,2687,2686 2144,2447,2448,2463,2462,2672,2673,2688,2687 2145,2448,2449,2464,2463,2673,2674,2689,2688 2146,2449,2450,2465,2464,2674,2675,2690,2689 2147,2450,2451,2466,2465,2675,2676,2691,2690 2148,2451,2452,2467,2466,2676,2677,2692,2691 2149,2452,2453,2468,2467,2677,2678,2693,2692 2150,2453,2454,2469,2468,2678,2679,2694,2693 2151,2454,2455,2470,2469,2679,2680,2695,2694 2152,2455,2456,2471,2470,2680,2681,2696,2695 2153,2456,2457,2472,2471,2681,2682,2697,2696 2154,2457,2458,2473,2472,2682,2683,2698,2697 2155,2458,2459,2474,2473,2683,2684,2699,2698 2156,2459,2460,2475,2474,2684,2685,2700,2699 2157,2476,2477,2492,2491,2701,2702,2717,2716 2158,2477,2478,2493,2492,2702,2703,2718,2717 2159,2478,2479,2494,2493,2703,2704,2719,2718 2160,2479,2480,2495,2494,2704,2705,2720,2719 2161,2480,2481,2496,2495,2705,2706,2721,2720 2162,2481,2482,2497,2496,2706,2707,2722,2721 2163,2482,2483,2498,2497,2707,2708,2723,2722 2164,2483,2484,2499,2498,2708,2709,2724,2723 2165,2484,2485,2500,2499,2709,2710,2725,2724 2166,2485,2486,2501,2500,2710,2711,2726,2725 2167,2486,2487,2502,2501,2711,2712,2727,2726 2168,2487,2488,2503,2502,2712,2713,2728,2727 2169,2488,2489,2504,2503,2713,2714,2729,2728 2170,2489,2490,2505,2504,2714,2715,2730,2729 2171,2491,2492,2507,2506,2716,2717,2732,2731 2172,2492,2493,2508,2507,2717,2718,2733,2732 2173,2493,2494,2509,2508,2718,2719,2734,2733 2174,2494,2495,2510,2509,2719,2720,2735,2734 2175,2495,2496,2511,2510,2720,2721,2736,2735 2176,2496,2497,2512,2511,2721,2722,2737,2736 2177,2497,2498,2513,2512,2722,2723,2738,2737 2178,2498,2499,2514,2513,2723,2724,2739,2738 2179,2499,2500,2515,2514,2724,2725,2740,2739 2180,2500,2501,2516,2515,2725,2726,2741,2740 2181,2501,2502,2517,2516,2726,2727,2742,2741 2182,2502,2503,2518,2517,2727,2728,2743,2742 2183,2503,2504,2519,2518,2728,2729,2744,2743 2184,2504,2505,2520,2519,2729,2730,2745,2744 2185,2506,2507,2522,2521,2731,2732,2747,2746 2186,2507,2508,2523,2522,2732,2733,2748,2747 2187,2508,2509,2524,2523,2733,2734,2749,2748 2188,2509,2510,2525,2524,2734,2735,2750,2749 2189,2510,2511,2526,2525,2735,2736,2751,2750 2190,2511,2512,2527,2526,2736,2737,2752,2751 2191,2512,2513,2528,2527,2737,2738,2753,2752 2192,2513,2514,2529,2528,2738,2739,2754,2753 2193,2514,2515,2530,2529,2739,2740,2755,2754 2194,2515,2516,2531,2530,2740,2741,2756,2755 2195,2516,2517,2532,2531,2741,2742,2757,2756 2196,2517,2518,2533,2532,2742,2743,2758,2757 2197,2518,2519,2534,2533,2743,2744,2759,2758 2198,2519,2520,2535,2534,2744,2745,2760,2759 2199,2521,2522,2537,2536,2746,2747,2762,2761 2200,2522,2523,2538,2537,2747,2748,2763,2762 2201,2523,2524,2539,2538,2748,2749,2764,2763 2202,2524,2525,2540,2539,2749,2750,2765,2764 2203,2525,2526,2541,2540,2750,2751,2766,2765 2204,2526,2527,2542,2541,2751,2752,2767,2766 2205,2527,2528,2543,2542,2752,2753,2768,2767 2206,2528,2529,2544,2543,2753,2754,2769,2768 2207,2529,2530,2545,2544,2754,2755,2770,2769 2208,2530,2531,2546,2545,2755,2756,2771,2770 2209,2531,2532,2547,2546,2756,2757,2772,2771 2210,2532,2533,2548,2547,2757,2758,2773,2772 2211,2533,2534,2549,2548,2758,2759,2774,2773 2212,2534,2535,2550,2549,2759,2760,2775,2774 2213,2536,2537,2552,2551,2761,2762,2777,2776 2214,2537,2538,2553,2552,2762,2763,2778,2777 2215,2538,2539,2554,2553,2763,2764,2779,2778 2216,2539,2540,2555,2554,2764,2765,2780,2779 2217,2540,2541,2556,2555,2765,2766,2781,2780 2218,2541,2542,2557,2556,2766,2767,2782,2781 2219,2542,2543,2558,2557,2767,2768,2783,2782 2220,2543,2544,2559,2558,2768,2769,2784,2783 2221,2544,2545,2560,2559,2769,2770,2785,2784 2222,2545,2546,2561,2560,2770,2771,2786,2785 2223,2546,2547,2562,2561,2771,2772,2787,2786 2224,2547,2548,2563,2562,2772,2773,2788,2787 2225,2548,2549,2564,2563,2773,2774,2789,2788 2226,2549,2550,2565,2564,2774,2775,2790,2789 2227,2551,2552,2567,2566,2776,2777,2792,2791 2228,2552,2553,2568,2567,2777,2778,2793,2792 2229,2553,2554,2569,2568,2778,2779,2794,2793 2230,2554,2555,2570,2569,2779,2780,2795,2794 2231,2555,2556,2571,2570,2780,2781,2796,2795 2232,2556,2557,2572,2571,2781,2782,2797,2796 2233,2557,2558,2573,2572,2782,2783,2798,2797 2234,2558,2559,2574,2573,2783,2784,2799,2798 2235,2559,2560,2575,2574,2784,2785,2800,2799 2236,2560,2561,2576,2575,2785,2786,2801,2800 2237,2561,2562,2577,2576,2786,2787,2802,2801 2238,2562,2563,2578,2577,2787,2788,2803,2802 2239,2563,2564,2579,2578,2788,2789,2804,2803 2240,2564,2565,2580,2579,2789,2790,2805,2804 2241,2566,2567,2582,2581,2791,2792,2807,2806 2242,2567,2568,2583,2582,2792,2793,2808,2807 2243,2568,2569,2584,2583,2793,2794,2809,2808 2244,2569,2570,2585,2584,2794,2795,2810,2809 2245,2570,2571,2586,2585,2795,2796,2811,2810 2246,2571,2572,2587,2586,2796,2797,2812,2811 2247,2572,2573,2588,2587,2797,2798,2813,2812 2248,2573,2574,2589,2588,2798,2799,2814,2813 2249,2574,2575,2590,2589,2799,2800,2815,2814 2250,2575,2576,2591,2590,2800,2801,2816,2815 2251,2576,2577,2592,2591,2801,2802,2817,2816 2252,2577,2578,2593,2592,2802,2803,2818,2817 2253,2578,2579,2594,2593,2803,2804,2819,2818 2254,2579,2580,2595,2594,2804,2805,2820,2819 2255,2581,2582,2597,2596,2806,2807,2822,2821 2256,2582,2583,2598,2597,2807,2808,2823,2822 2257,2583,2584,2599,2598,2808,2809,2824,2823 2258,2584,2585,2600,2599,2809,2810,2825,2824 2259,2585,2586,2601,2600,2810,2811,2826,2825 2260,2586,2587,2602,2601,2811,2812,2827,2826 2261,2587,2588,2603,2602,2812,2813,2828,2827 2262,2588,2589,2604,2603,2813,2814,2829,2828 2263,2589,2590,2605,2604,2814,2815,2830,2829 2264,2590,2591,2606,2605,2815,2816,2831,2830 2265,2591,2592,2607,2606,2816,2817,2832,2831 2266,2592,2593,2608,2607,2817,2818,2833,2832 2267,2593,2594,2609,2608,2818,2819,2834,2833 2268,2594,2595,2610,2609,2819,2820,2835,2834 2269,2596,2597,2612,2611,2821,2822,2837,2836 2270,2597,2598,2613,2612,2822,2823,2838,2837 2271,2598,2599,2614,2613,2823,2824,2839,2838 2272,2599,2600,2615,2614,2824,2825,2840,2839 2273,2600,2601,2616,2615,2825,2826,2841,2840 2274,2601,2602,2617,2616,2826,2827,2842,2841 2275,2602,2603,2618,2617,2827,2828,2843,2842 2276,2603,2604,2619,2618,2828,2829,2844,2843 2277,2604,2605,2620,2619,2829,2830,2845,2844 2278,2605,2606,2621,2620,2830,2831,2846,2845 2279,2606,2607,2622,2621,2831,2832,2847,2846 2280,2607,2608,2623,2622,2832,2833,2848,2847 2281,2608,2609,2624,2623,2833,2834,2849,2848 2282,2609,2610,2625,2624,2834,2835,2850,2849 2283,2611,2612,2627,2626,2836,2837,2852,2851 2284,2612,2613,2628,2627,2837,2838,2853,2852 2285,2613,2614,2629,2628,2838,2839,2854,2853 2286,2614,2615,2630,2629,2839,2840,2855,2854 2287,2615,2616,2631,2630,2840,2841,2856,2855 2288,2616,2617,2632,2631,2841,2842,2857,2856 2289,2617,2618,2633,2632,2842,2843,2858,2857 2290,2618,2619,2634,2633,2843,2844,2859,2858 2291,2619,2620,2635,2634,2844,2845,2860,2859 2292,2620,2621,2636,2635,2845,2846,2861,2860 2293,2621,2622,2637,2636,2846,2847,2862,2861 2294,2622,2623,2638,2637,2847,2848,2863,2862 2295,2623,2624,2639,2638,2848,2849,2864,2863 2296,2624,2625,2640,2639,2849,2850,2865,2864 2297,2626,2627,2642,2641,2851,2852,2867,2866 2298,2627,2628,2643,2642,2852,2853,2868,2867 2299,2628,2629,2644,2643,2853,2854,2869,2868 2300,2629,2630,2645,2644,2854,2855,2870,2869 2301,2630,2631,2646,2645,2855,2856,2871,2870 2302,2631,2632,2647,2646,2856,2857,2872,2871 2303,2632,2633,2648,2647,2857,2858,2873,2872 2304,2633,2634,2649,2648,2858,2859,2874,2873 2305,2634,2635,2650,2649,2859,2860,2875,2874 2306,2635,2636,2651,2650,2860,2861,2876,2875 2307,2636,2637,2652,2651,2861,2862,2877,2876 2308,2637,2638,2653,2652,2862,2863,2878,2877 2309,2638,2639,2654,2653,2863,2864,2879,2878 2310,2639,2640,2655,2654,2864,2865,2880,2879 2311,2641,2642,2657,2656,2866,2867,2882,2881 2312,2642,2643,2658,2657,2867,2868,2883,2882 2313,2643,2644,2659,2658,2868,2869,2884,2883 2314,2644,2645,2660,2659,2869,2870,2885,2884 2315,2645,2646,2661,2660,2870,2871,2886,2885 2316,2646,2647,2662,2661,2871,2872,2887,2886 2317,2647,2648,2663,2662,2872,2873,2888,2887 2318,2648,2649,2664,2663,2873,2874,2889,2888 2319,2649,2650,2665,2664,2874,2875,2890,2889 2320,2650,2651,2666,2665,2875,2876,2891,2890 2321,2651,2652,2667,2666,2876,2877,2892,2891 2322,2652,2653,2668,2667,2877,2878,2893,2892 2323,2653,2654,2669,2668,2878,2879,2894,2893 2324,2654,2655,2670,2669,2879,2880,2895,2894 2325,2656,2657,2672,2671,2881,2882,2897,2896 2326,2657,2658,2673,2672,2882,2883,2898,2897 2327,2658,2659,2674,2673,2883,2884,2899,2898 2328,2659,2660,2675,2674,2884,2885,2900,2899 2329,2660,2661,2676,2675,2885,2886,2901,2900 2330,2661,2662,2677,2676,2886,2887,2902,2901 2331,2662,2663,2678,2677,2887,2888,2903,2902 2332,2663,2664,2679,2678,2888,2889,2904,2903 2333,2664,2665,2680,2679,2889,2890,2905,2904 2334,2665,2666,2681,2680,2890,2891,2906,2905 2335,2666,2667,2682,2681,2891,2892,2907,2906 2336,2667,2668,2683,2682,2892,2893,2908,2907 2337,2668,2669,2684,2683,2893,2894,2909,2908 2338,2669,2670,2685,2684,2894,2895,2910,2909 2339,2671,2672,2687,2686,2896,2897,2912,2911 2340,2672,2673,2688,2687,2897,2898,2913,2912 2341,2673,2674,2689,2688,2898,2899,2914,2913 2342,2674,2675,2690,2689,2899,2900,2915,2914 2343,2675,2676,2691,2690,2900,2901,2916,2915 2344,2676,2677,2692,2691,2901,2902,2917,2916 2345,2677,2678,2693,2692,2902,2903,2918,2917 2346,2678,2679,2694,2693,2903,2904,2919,2918 2347,2679,2680,2695,2694,2904,2905,2920,2919 2348,2680,2681,2696,2695,2905,2906,2921,2920 2349,2681,2682,2697,2696,2906,2907,2922,2921 2350,2682,2683,2698,2697,2907,2908,2923,2922 2351,2683,2684,2699,2698,2908,2909,2924,2923 2352,2684,2685,2700,2699,2909,2910,2925,2924 2353,2701,2702,2717,2716,2926,2927,2942,2941 2354,2702,2703,2718,2717,2927,2928,2943,2942 2355,2703,2704,2719,2718,2928,2929,2944,2943 2356,2704,2705,2720,2719,2929,2930,2945,2944 2357,2705,2706,2721,2720,2930,2931,2946,2945 2358,2706,2707,2722,2721,2931,2932,2947,2946 2359,2707,2708,2723,2722,2932,2933,2948,2947 2360,2708,2709,2724,2723,2933,2934,2949,2948 2361,2709,2710,2725,2724,2934,2935,2950,2949 2362,2710,2711,2726,2725,2935,2936,2951,2950 2363,2711,2712,2727,2726,2936,2937,2952,2951 2364,2712,2713,2728,2727,2937,2938,2953,2952 2365,2713,2714,2729,2728,2938,2939,2954,2953 2366,2714,2715,2730,2729,2939,2940,2955,2954 2367,2716,2717,2732,2731,2941,2942,2957,2956 2368,2717,2718,2733,2732,2942,2943,2958,2957 2369,2718,2719,2734,2733,2943,2944,2959,2958 2370,2719,2720,2735,2734,2944,2945,2960,2959 2371,2720,2721,2736,2735,2945,2946,2961,2960 2372,2721,2722,2737,2736,2946,2947,2962,2961 2373,2722,2723,2738,2737,2947,2948,2963,2962 2374,2723,2724,2739,2738,2948,2949,2964,2963 2375,2724,2725,2740,2739,2949,2950,2965,2964 2376,2725,2726,2741,2740,2950,2951,2966,2965 2377,2726,2727,2742,2741,2951,2952,2967,2966 2378,2727,2728,2743,2742,2952,2953,2968,2967 2379,2728,2729,2744,2743,2953,2954,2969,2968 2380,2729,2730,2745,2744,2954,2955,2970,2969 2381,2731,2732,2747,2746,2956,2957,2972,2971 2382,2732,2733,2748,2747,2957,2958,2973,2972 2383,2733,2734,2749,2748,2958,2959,2974,2973 2384,2734,2735,2750,2749,2959,2960,2975,2974 2385,2735,2736,2751,2750,2960,2961,2976,2975 2386,2736,2737,2752,2751,2961,2962,2977,2976 2387,2737,2738,2753,2752,2962,2963,2978,2977 2388,2738,2739,2754,2753,2963,2964,2979,2978 2389,2739,2740,2755,2754,2964,2965,2980,2979 2390,2740,2741,2756,2755,2965,2966,2981,2980 2391,2741,2742,2757,2756,2966,2967,2982,2981 2392,2742,2743,2758,2757,2967,2968,2983,2982 2393,2743,2744,2759,2758,2968,2969,2984,2983 2394,2744,2745,2760,2759,2969,2970,2985,2984 2395,2746,2747,2762,2761,2971,2972,2987,2986 2396,2747,2748,2763,2762,2972,2973,2988,2987 2397,2748,2749,2764,2763,2973,2974,2989,2988 2398,2749,2750,2765,2764,2974,2975,2990,2989 2399,2750,2751,2766,2765,2975,2976,2991,2990 2400,2751,2752,2767,2766,2976,2977,2992,2991 2401,2752,2753,2768,2767,2977,2978,2993,2992 2402,2753,2754,2769,2768,2978,2979,2994,2993 2403,2754,2755,2770,2769,2979,2980,2995,2994 2404,2755,2756,2771,2770,2980,2981,2996,2995 2405,2756,2757,2772,2771,2981,2982,2997,2996 2406,2757,2758,2773,2772,2982,2983,2998,2997 2407,2758,2759,2774,2773,2983,2984,2999,2998 2408,2759,2760,2775,2774,2984,2985,3000,2999 2409,2761,2762,2777,2776,2986,2987,3002,3001 2410,2762,2763,2778,2777,2987,2988,3003,3002 2411,2763,2764,2779,2778,2988,2989,3004,3003 2412,2764,2765,2780,2779,2989,2990,3005,3004 2413,2765,2766,2781,2780,2990,2991,3006,3005 2414,2766,2767,2782,2781,2991,2992,3007,3006 2415,2767,2768,2783,2782,2992,2993,3008,3007 2416,2768,2769,2784,2783,2993,2994,3009,3008 2417,2769,2770,2785,2784,2994,2995,3010,3009 2418,2770,2771,2786,2785,2995,2996,3011,3010 2419,2771,2772,2787,2786,2996,2997,3012,3011 2420,2772,2773,2788,2787,2997,2998,3013,3012 2421,2773,2774,2789,2788,2998,2999,3014,3013 2422,2774,2775,2790,2789,2999,3000,3015,3014 2423,2776,2777,2792,2791,3001,3002,3017,3016 2424,2777,2778,2793,2792,3002,3003,3018,3017 2425,2778,2779,2794,2793,3003,3004,3019,3018 2426,2779,2780,2795,2794,3004,3005,3020,3019 2427,2780,2781,2796,2795,3005,3006,3021,3020 2428,2781,2782,2797,2796,3006,3007,3022,3021 2429,2782,2783,2798,2797,3007,3008,3023,3022 2430,2783,2784,2799,2798,3008,3009,3024,3023 2431,2784,2785,2800,2799,3009,3010,3025,3024 2432,2785,2786,2801,2800,3010,3011,3026,3025 2433,2786,2787,2802,2801,3011,3012,3027,3026 2434,2787,2788,2803,2802,3012,3013,3028,3027 2435,2788,2789,2804,2803,3013,3014,3029,3028 2436,2789,2790,2805,2804,3014,3015,3030,3029 2437,2791,2792,2807,2806,3016,3017,3032,3031 2438,2792,2793,2808,2807,3017,3018,3033,3032 2439,2793,2794,2809,2808,3018,3019,3034,3033 2440,2794,2795,2810,2809,3019,3020,3035,3034 2441,2795,2796,2811,2810,3020,3021,3036,3035 2442,2796,2797,2812,2811,3021,3022,3037,3036 2443,2797,2798,2813,2812,3022,3023,3038,3037 2444,2798,2799,2814,2813,3023,3024,3039,3038 2445,2799,2800,2815,2814,3024,3025,3040,3039 2446,2800,2801,2816,2815,3025,3026,3041,3040 2447,2801,2802,2817,2816,3026,3027,3042,3041 2448,2802,2803,2818,2817,3027,3028,3043,3042 2449,2803,2804,2819,2818,3028,3029,3044,3043 2450,2804,2805,2820,2819,3029,3030,3045,3044 2451,2806,2807,2822,2821,3031,3032,3047,3046 2452,2807,2808,2823,2822,3032,3033,3048,3047 2453,2808,2809,2824,2823,3033,3034,3049,3048 2454,2809,2810,2825,2824,3034,3035,3050,3049 2455,2810,2811,2826,2825,3035,3036,3051,3050 2456,2811,2812,2827,2826,3036,3037,3052,3051 2457,2812,2813,2828,2827,3037,3038,3053,3052 2458,2813,2814,2829,2828,3038,3039,3054,3053 2459,2814,2815,2830,2829,3039,3040,3055,3054 2460,2815,2816,2831,2830,3040,3041,3056,3055 2461,2816,2817,2832,2831,3041,3042,3057,3056 2462,2817,2818,2833,2832,3042,3043,3058,3057 2463,2818,2819,2834,2833,3043,3044,3059,3058 2464,2819,2820,2835,2834,3044,3045,3060,3059 2465,2821,2822,2837,2836,3046,3047,3062,3061 2466,2822,2823,2838,2837,3047,3048,3063,3062 2467,2823,2824,2839,2838,3048,3049,3064,3063 2468,2824,2825,2840,2839,3049,3050,3065,3064 2469,2825,2826,2841,2840,3050,3051,3066,3065 2470,2826,2827,2842,2841,3051,3052,3067,3066 2471,2827,2828,2843,2842,3052,3053,3068,3067 2472,2828,2829,2844,2843,3053,3054,3069,3068 2473,2829,2830,2845,2844,3054,3055,3070,3069 2474,2830,2831,2846,2845,3055,3056,3071,3070 2475,2831,2832,2847,2846,3056,3057,3072,3071 2476,2832,2833,2848,2847,3057,3058,3073,3072 2477,2833,2834,2849,2848,3058,3059,3074,3073 2478,2834,2835,2850,2849,3059,3060,3075,3074 2479,2836,2837,2852,2851,3061,3062,3077,3076 2480,2837,2838,2853,2852,3062,3063,3078,3077 2481,2838,2839,2854,2853,3063,3064,3079,3078 2482,2839,2840,2855,2854,3064,3065,3080,3079 2483,2840,2841,2856,2855,3065,3066,3081,3080 2484,2841,2842,2857,2856,3066,3067,3082,3081 2485,2842,2843,2858,2857,3067,3068,3083,3082 2486,2843,2844,2859,2858,3068,3069,3084,3083 2487,2844,2845,2860,2859,3069,3070,3085,3084 2488,2845,2846,2861,2860,3070,3071,3086,3085 2489,2846,2847,2862,2861,3071,3072,3087,3086 2490,2847,2848,2863,2862,3072,3073,3088,3087 2491,2848,2849,2864,2863,3073,3074,3089,3088 2492,2849,2850,2865,2864,3074,3075,3090,3089 2493,2851,2852,2867,2866,3076,3077,3092,3091 2494,2852,2853,2868,2867,3077,3078,3093,3092 2495,2853,2854,2869,2868,3078,3079,3094,3093 2496,2854,2855,2870,2869,3079,3080,3095,3094 2497,2855,2856,2871,2870,3080,3081,3096,3095 2498,2856,2857,2872,2871,3081,3082,3097,3096 2499,2857,2858,2873,2872,3082,3083,3098,3097 2500,2858,2859,2874,2873,3083,3084,3099,3098 2501,2859,2860,2875,2874,3084,3085,3100,3099 2502,2860,2861,2876,2875,3085,3086,3101,3100 2503,2861,2862,2877,2876,3086,3087,3102,3101 2504,2862,2863,2878,2877,3087,3088,3103,3102 2505,2863,2864,2879,2878,3088,3089,3104,3103 2506,2864,2865,2880,2879,3089,3090,3105,3104 2507,2866,2867,2882,2881,3091,3092,3107,3106 2508,2867,2868,2883,2882,3092,3093,3108,3107 2509,2868,2869,2884,2883,3093,3094,3109,3108 2510,2869,2870,2885,2884,3094,3095,3110,3109 2511,2870,2871,2886,2885,3095,3096,3111,3110 2512,2871,2872,2887,2886,3096,3097,3112,3111 2513,2872,2873,2888,2887,3097,3098,3113,3112 2514,2873,2874,2889,2888,3098,3099,3114,3113 2515,2874,2875,2890,2889,3099,3100,3115,3114 2516,2875,2876,2891,2890,3100,3101,3116,3115 2517,2876,2877,2892,2891,3101,3102,3117,3116 2518,2877,2878,2893,2892,3102,3103,3118,3117 2519,2878,2879,2894,2893,3103,3104,3119,3118 2520,2879,2880,2895,2894,3104,3105,3120,3119 2521,2881,2882,2897,2896,3106,3107,3122,3121 2522,2882,2883,2898,2897,3107,3108,3123,3122 2523,2883,2884,2899,2898,3108,3109,3124,3123 2524,2884,2885,2900,2899,3109,3110,3125,3124 2525,2885,2886,2901,2900,3110,3111,3126,3125 2526,2886,2887,2902,2901,3111,3112,3127,3126 2527,2887,2888,2903,2902,3112,3113,3128,3127 2528,2888,2889,2904,2903,3113,3114,3129,3128 2529,2889,2890,2905,2904,3114,3115,3130,3129 2530,2890,2891,2906,2905,3115,3116,3131,3130 2531,2891,2892,2907,2906,3116,3117,3132,3131 2532,2892,2893,2908,2907,3117,3118,3133,3132 2533,2893,2894,2909,2908,3118,3119,3134,3133 2534,2894,2895,2910,2909,3119,3120,3135,3134 2535,2896,2897,2912,2911,3121,3122,3137,3136 2536,2897,2898,2913,2912,3122,3123,3138,3137 2537,2898,2899,2914,2913,3123,3124,3139,3138 2538,2899,2900,2915,2914,3124,3125,3140,3139 2539,2900,2901,2916,2915,3125,3126,3141,3140 2540,2901,2902,2917,2916,3126,3127,3142,3141 2541,2902,2903,2918,2917,3127,3128,3143,3142 2542,2903,2904,2919,2918,3128,3129,3144,3143 2543,2904,2905,2920,2919,3129,3130,3145,3144 2544,2905,2906,2921,2920,3130,3131,3146,3145 2545,2906,2907,2922,2921,3131,3132,3147,3146 2546,2907,2908,2923,2922,3132,3133,3148,3147 2547,2908,2909,2924,2923,3133,3134,3149,3148 2548,2909,2910,2925,2924,3134,3135,3150,3149 2549,2926,2927,2942,2941,3151,3152,3167,3166 2550,2927,2928,2943,2942,3152,3153,3168,3167 2551,2928,2929,2944,2943,3153,3154,3169,3168 2552,2929,2930,2945,2944,3154,3155,3170,3169 2553,2930,2931,2946,2945,3155,3156,3171,3170 2554,2931,2932,2947,2946,3156,3157,3172,3171 2555,2932,2933,2948,2947,3157,3158,3173,3172 2556,2933,2934,2949,2948,3158,3159,3174,3173 2557,2934,2935,2950,2949,3159,3160,3175,3174 2558,2935,2936,2951,2950,3160,3161,3176,3175 2559,2936,2937,2952,2951,3161,3162,3177,3176 2560,2937,2938,2953,2952,3162,3163,3178,3177 2561,2938,2939,2954,2953,3163,3164,3179,3178 2562,2939,2940,2955,2954,3164,3165,3180,3179 2563,2941,2942,2957,2956,3166,3167,3182,3181 2564,2942,2943,2958,2957,3167,3168,3183,3182 2565,2943,2944,2959,2958,3168,3169,3184,3183 2566,2944,2945,2960,2959,3169,3170,3185,3184 2567,2945,2946,2961,2960,3170,3171,3186,3185 2568,2946,2947,2962,2961,3171,3172,3187,3186 2569,2947,2948,2963,2962,3172,3173,3188,3187 2570,2948,2949,2964,2963,3173,3174,3189,3188 2571,2949,2950,2965,2964,3174,3175,3190,3189 2572,2950,2951,2966,2965,3175,3176,3191,3190 2573,2951,2952,2967,2966,3176,3177,3192,3191 2574,2952,2953,2968,2967,3177,3178,3193,3192 2575,2953,2954,2969,2968,3178,3179,3194,3193 2576,2954,2955,2970,2969,3179,3180,3195,3194 2577,2956,2957,2972,2971,3181,3182,3197,3196 2578,2957,2958,2973,2972,3182,3183,3198,3197 2579,2958,2959,2974,2973,3183,3184,3199,3198 2580,2959,2960,2975,2974,3184,3185,3200,3199 2581,2960,2961,2976,2975,3185,3186,3201,3200 2582,2961,2962,2977,2976,3186,3187,3202,3201 2583,2962,2963,2978,2977,3187,3188,3203,3202 2584,2963,2964,2979,2978,3188,3189,3204,3203 2585,2964,2965,2980,2979,3189,3190,3205,3204 2586,2965,2966,2981,2980,3190,3191,3206,3205 2587,2966,2967,2982,2981,3191,3192,3207,3206 2588,2967,2968,2983,2982,3192,3193,3208,3207 2589,2968,2969,2984,2983,3193,3194,3209,3208 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2678,3064,3065,3080,3079,3289,3290,3305,3304 2679,3065,3066,3081,3080,3290,3291,3306,3305 2680,3066,3067,3082,3081,3291,3292,3307,3306 2681,3067,3068,3083,3082,3292,3293,3308,3307 2682,3068,3069,3084,3083,3293,3294,3309,3308 2683,3069,3070,3085,3084,3294,3295,3310,3309 2684,3070,3071,3086,3085,3295,3296,3311,3310 2685,3071,3072,3087,3086,3296,3297,3312,3311 2686,3072,3073,3088,3087,3297,3298,3313,3312 2687,3073,3074,3089,3088,3298,3299,3314,3313 2688,3074,3075,3090,3089,3299,3300,3315,3314 2689,3076,3077,3092,3091,3301,3302,3317,3316 2690,3077,3078,3093,3092,3302,3303,3318,3317 2691,3078,3079,3094,3093,3303,3304,3319,3318 2692,3079,3080,3095,3094,3304,3305,3320,3319 2693,3080,3081,3096,3095,3305,3306,3321,3320 2694,3081,3082,3097,3096,3306,3307,3322,3321 2695,3082,3083,3098,3097,3307,3308,3323,3322 2696,3083,3084,3099,3098,3308,3309,3324,3323 2697,3084,3085,3100,3099,3309,3310,3325,3324 2698,3085,3086,3101,3100,3310,3311,3326,3325 2699,3086,3087,3102,3101,3311,3312,3327,3326 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2744,3134,3135,3150,3149,3359,3360,3375,3374 *End Instance ** *End Assembly **MATERIALS ** *Material, name=MATERIAL-GRAIN1 *Depvar 12, *User Material, constants=250 108.825664965425,114.8204719716,-200.618088948319,1,2,1,12.0,6.0 0.0,0.31,0.25,170000.0,124000.0,75000.0,0.0,0.0 0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0 3.0,0.001,20.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0 0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0 0.0,0.0,0.0,0.0,0.0,0.0,0.000256,0.000256 0.000256,0.000256,0.000256,0.000256,0.000256,0.000256,0.000256,0.000256 0.000256,0.000256,0.0,0.0,0.0,0.0,0.0,0.0 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0.142857142857 0.571428571429 1833 0.142857142857 0.142857142857 0.571428571429 1834 0.214285714286 0.142857142857 0.571428571429 1835 0.285714285714 0.142857142857 0.571428571429 1836 0.357142857143 0.142857142857 0.571428571429 1837 0.428571428571 0.142857142857 0.571428571429 1838 0.500000000000 0.142857142857 0.571428571429 1839 0.571428571429 0.142857142857 0.571428571429 1840 0.642857142857 0.142857142857 0.571428571429 1841 0.714285714286 0.142857142857 0.571428571429 1842 0.785714285714 0.142857142857 0.571428571429 1843 0.857142857143 0.142857142857 0.571428571429 1844 0.928571428571 0.142857142857 0.571428571429 1845 1.000000000000 0.142857142857 0.571428571429 1846 0.000000000000 0.214285714286 0.571428571429 1847 0.071428571429 0.214285714286 0.571428571429 1848 0.142857142857 0.214285714286 0.571428571429 1849 0.214285714286 0.214285714286 0.571428571429 1850 0.285714285714 0.214285714286 0.571428571429 1851 0.357142857143 0.214285714286 0.571428571429 1852 0.428571428571 0.214285714286 0.571428571429 1853 0.500000000000 0.214285714286 0.571428571429 1854 0.571428571429 0.214285714286 0.571428571429 1855 0.642857142857 0.214285714286 0.571428571429 1856 0.714285714286 0.214285714286 0.571428571429 1857 0.785714285714 0.214285714286 0.571428571429 1858 0.857142857143 0.214285714286 0.571428571429 1859 0.928571428571 0.214285714286 0.571428571429 1860 1.000000000000 0.214285714286 0.571428571429 1861 0.000000000000 0.285714285714 0.571428571429 1862 0.071428571429 0.285714285714 0.571428571429 1863 0.142857142857 0.285714285714 0.571428571429 1864 0.214285714286 0.285714285714 0.571428571429 1865 0.285714285714 0.285714285714 0.571428571429 1866 0.357142857143 0.285714285714 0.571428571429 1867 0.428571428571 0.285714285714 0.571428571429 1868 0.500000000000 0.285714285714 0.571428571429 1869 0.571428571429 0.285714285714 0.571428571429 1870 0.642857142857 0.285714285714 0.571428571429 1871 0.714285714286 0.285714285714 0.571428571429 1872 0.785714285714 0.285714285714 0.571428571429 1873 0.857142857143 0.285714285714 0.571428571429 1874 0.928571428571 0.285714285714 0.571428571429 1875 1.000000000000 0.285714285714 0.571428571429 1876 0.000000000000 0.357142857143 0.571428571429 1877 0.071428571429 0.357142857143 0.571428571429 1878 0.142857142857 0.357142857143 0.571428571429 1879 0.214285714286 0.357142857143 0.571428571429 1880 0.285714285714 0.357142857143 0.571428571429 1881 0.357142857143 0.357142857143 0.571428571429 1882 0.428571428571 0.357142857143 0.571428571429 1883 0.500000000000 0.357142857143 0.571428571429 1884 0.571428571429 0.357142857143 0.571428571429 1885 0.642857142857 0.357142857143 0.571428571429 1886 0.714285714286 0.357142857143 0.571428571429 1887 0.785714285714 0.357142857143 0.571428571429 1888 0.857142857143 0.357142857143 0.571428571429 1889 0.928571428571 0.357142857143 0.571428571429 1890 1.000000000000 0.357142857143 0.571428571429 1891 0.000000000000 0.428571428571 0.571428571429 1892 0.071428571429 0.428571428571 0.571428571429 1893 0.142857142857 0.428571428571 0.571428571429 1894 0.214285714286 0.428571428571 0.571428571429 1895 0.285714285714 0.428571428571 0.571428571429 1896 0.357142857143 0.428571428571 0.571428571429 1897 0.428571428571 0.428571428571 0.571428571429 1898 0.500000000000 0.428571428571 0.571428571429 1899 0.571428571429 0.428571428571 0.571428571429 1900 0.642857142857 0.428571428571 0.571428571429 1901 0.714285714286 0.428571428571 0.571428571429 1902 0.785714285714 0.428571428571 0.571428571429 1903 0.857142857143 0.428571428571 0.571428571429 1904 0.928571428571 0.428571428571 0.571428571429 1905 1.000000000000 0.428571428571 0.571428571429 1906 0.000000000000 0.500000000000 0.571428571429 1907 0.071428571429 0.500000000000 0.571428571429 1908 0.142857142857 0.500000000000 0.571428571429 1909 0.214285714286 0.500000000000 0.571428571429 1910 0.285714285714 0.500000000000 0.571428571429 1911 0.357142857143 0.500000000000 0.571428571429 1912 0.428571428571 0.500000000000 0.571428571429 1913 0.500000000000 0.500000000000 0.571428571429 1914 0.571428571429 0.500000000000 0.571428571429 1915 0.642857142857 0.500000000000 0.571428571429 1916 0.714285714286 0.500000000000 0.571428571429 1917 0.785714285714 0.500000000000 0.571428571429 1918 0.857142857143 0.500000000000 0.571428571429 1919 0.928571428571 0.500000000000 0.571428571429 1920 1.000000000000 0.500000000000 0.571428571429 1921 0.000000000000 0.571428571429 0.571428571429 1922 0.071428571429 0.571428571429 0.571428571429 1923 0.142857142857 0.571428571429 0.571428571429 1924 0.214285714286 0.571428571429 0.571428571429 1925 0.285714285714 0.571428571429 0.571428571429 1926 0.357142857143 0.571428571429 0.571428571429 1927 0.428571428571 0.571428571429 0.571428571429 1928 0.500000000000 0.571428571429 0.571428571429 1929 0.571428571429 0.571428571429 0.571428571429 1930 0.642857142857 0.571428571429 0.571428571429 1931 0.714285714286 0.571428571429 0.571428571429 1932 0.785714285714 0.571428571429 0.571428571429 1933 0.857142857143 0.571428571429 0.571428571429 1934 0.928571428571 0.571428571429 0.571428571429 1935 1.000000000000 0.571428571429 0.571428571429 1936 0.000000000000 0.642857142857 0.571428571429 1937 0.071428571429 0.642857142857 0.571428571429 1938 0.142857142857 0.642857142857 0.571428571429 1939 0.214285714286 0.642857142857 0.571428571429 1940 0.285714285714 0.642857142857 0.571428571429 1941 0.357142857143 0.642857142857 0.571428571429 1942 0.428571428571 0.642857142857 0.571428571429 1943 0.500000000000 0.642857142857 0.571428571429 1944 0.571428571429 0.642857142857 0.571428571429 1945 0.642857142857 0.642857142857 0.571428571429 1946 0.714285714286 0.642857142857 0.571428571429 1947 0.785714285714 0.642857142857 0.571428571429 1948 0.857142857143 0.642857142857 0.571428571429 1949 0.928571428571 0.642857142857 0.571428571429 1950 1.000000000000 0.642857142857 0.571428571429 1951 0.000000000000 0.714285714286 0.571428571429 1952 0.071428571429 0.714285714286 0.571428571429 1953 0.142857142857 0.714285714286 0.571428571429 1954 0.214285714286 0.714285714286 0.571428571429 1955 0.285714285714 0.714285714286 0.571428571429 1956 0.357142857143 0.714285714286 0.571428571429 1957 0.428571428571 0.714285714286 0.571428571429 1958 0.500000000000 0.714285714286 0.571428571429 1959 0.571428571429 0.714285714286 0.571428571429 1960 0.642857142857 0.714285714286 0.571428571429 1961 0.714285714286 0.714285714286 0.571428571429 1962 0.785714285714 0.714285714286 0.571428571429 1963 0.857142857143 0.714285714286 0.571428571429 1964 0.928571428571 0.714285714286 0.571428571429 1965 1.000000000000 0.714285714286 0.571428571429 1966 0.000000000000 0.785714285714 0.571428571429 1967 0.071428571429 0.785714285714 0.571428571429 1968 0.142857142857 0.785714285714 0.571428571429 1969 0.214285714286 0.785714285714 0.571428571429 1970 0.285714285714 0.785714285714 0.571428571429 1971 0.357142857143 0.785714285714 0.571428571429 1972 0.428571428571 0.785714285714 0.571428571429 1973 0.500000000000 0.785714285714 0.571428571429 1974 0.571428571429 0.785714285714 0.571428571429 1975 0.642857142857 0.785714285714 0.571428571429 1976 0.714285714286 0.785714285714 0.571428571429 1977 0.785714285714 0.785714285714 0.571428571429 1978 0.857142857143 0.785714285714 0.571428571429 1979 0.928571428571 0.785714285714 0.571428571429 1980 1.000000000000 0.785714285714 0.571428571429 1981 0.000000000000 0.857142857143 0.571428571429 1982 0.071428571429 0.857142857143 0.571428571429 1983 0.142857142857 0.857142857143 0.571428571429 1984 0.214285714286 0.857142857143 0.571428571429 1985 0.285714285714 0.857142857143 0.571428571429 1986 0.357142857143 0.857142857143 0.571428571429 1987 0.428571428571 0.857142857143 0.571428571429 1988 0.500000000000 0.857142857143 0.571428571429 1989 0.571428571429 0.857142857143 0.571428571429 1990 0.642857142857 0.857142857143 0.571428571429 1991 0.714285714286 0.857142857143 0.571428571429 1992 0.785714285714 0.857142857143 0.571428571429 1993 0.857142857143 0.857142857143 0.571428571429 1994 0.928571428571 0.857142857143 0.571428571429 1995 1.000000000000 0.857142857143 0.571428571429 1996 0.000000000000 0.928571428571 0.571428571429 1997 0.071428571429 0.928571428571 0.571428571429 1998 0.142857142857 0.928571428571 0.571428571429 1999 0.214285714286 0.928571428571 0.571428571429 2000 0.285714285714 0.928571428571 0.571428571429 2001 0.357142857143 0.928571428571 0.571428571429 2002 0.428571428571 0.928571428571 0.571428571429 2003 0.500000000000 0.928571428571 0.571428571429 2004 0.571428571429 0.928571428571 0.571428571429 2005 0.642857142857 0.928571428571 0.571428571429 2006 0.714285714286 0.928571428571 0.571428571429 2007 0.785714285714 0.928571428571 0.571428571429 2008 0.857142857143 0.928571428571 0.571428571429 2009 0.928571428571 0.928571428571 0.571428571429 2010 1.000000000000 0.928571428571 0.571428571429 2011 0.000000000000 1.000000000000 0.571428571429 2012 0.071428571429 1.000000000000 0.571428571429 2013 0.142857142857 1.000000000000 0.571428571429 2014 0.214285714286 1.000000000000 0.571428571429 2015 0.285714285714 1.000000000000 0.571428571429 2016 0.357142857143 1.000000000000 0.571428571429 2017 0.428571428571 1.000000000000 0.571428571429 2018 0.500000000000 1.000000000000 0.571428571429 2019 0.571428571429 1.000000000000 0.571428571429 2020 0.642857142857 1.000000000000 0.571428571429 2021 0.714285714286 1.000000000000 0.571428571429 2022 0.785714285714 1.000000000000 0.571428571429 2023 0.857142857143 1.000000000000 0.571428571429 2024 0.928571428571 1.000000000000 0.571428571429 2025 1.000000000000 1.000000000000 0.571428571429 2026 0.000000000000 0.000000000000 0.642857142857 2027 0.071428571429 0.000000000000 0.642857142857 2028 0.142857142857 0.000000000000 0.642857142857 2029 0.214285714286 0.000000000000 0.642857142857 2030 0.285714285714 0.000000000000 0.642857142857 2031 0.357142857143 0.000000000000 0.642857142857 2032 0.428571428571 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309, 513, 82 5968, 748, 209, 46, 473 5969, 756, 648, 473, 51 5970, 95, 597, 750, 253 5971, 515, 763, 597, 761 5972, 514, 882, 235, 513 5973, 647, 882, 513, 309 5974, 882, 309, 284, 513 5975, 648, 210, 473, 51 5976, 97, 95, 758, 750 5977, 882, 648, 473, 756 5978, 882, 83, 232, 304 5979, 882, 304, 232, 759 5980, 94, 598, 756, 119 5981, 598, 130, 756, 119 5982, 209, 205, 473, 760 5983, 344, 748, 760, 45 5984, 758, 763, 749, 750 5985, 344, 748, 749, 760 5986, 882, 648, 118, 131 5987, 83, 647, 513, 82 5988, 648, 882, 118, 598 5989, 882, 647, 513, 83 5990, 749, 346, 758, 343 5991, 77, 758, 227, 762 5992, 210, 648, 473, 759 5993, 50, 648, 210, 759 5994, 599, 597, 253, 750 5995, 513, 284, 598, 78 5996, 513, 598, 284, 882 5997, 756, 751, 882, 599 5998, 756, 882, 751, 748 5999, 761, 882, 751, 599 6000, 761, 751, 882, 748 6001, 761, 760, 750, 748 6002, 761, 750, 760, 763 6003, 749, 750, 760, 748 6004, 749, 760, 750, 763 6005, 299, 300, 774, 639 6006, 560, 267, 766, 206 6007, 144, 772, 350, 770 6008, 770, 772, 767, 348 6009, 467, 765, 465, 466 6010, 558, 111, 771, 264 6011, 641, 559, 268, 639 6012, 640, 299, 773, 774 6013, 772, 774, 767, 348 6014, 467, 641, 107, 40 6015, 300, 772, 642, 129 6016, 640, 467, 641, 764 6017, 559, 768, 766, 561 6018, 559, 768, 561, 558 6019, 769, 774, 639, 764 6020, 559, 467, 766, 641 6021, 769, 642, 558, 639 6022, 766, 39, 466, 206 6023, 144, 770, 767, 348 6024, 769, 772, 774, 767 6025, 49, 640, 773, 468 6026, 49, 208, 640, 468 6027, 144, 772, 770, 348 6028, 772, 769, 770, 767 6029, 347, 769, 767, 770 6030, 768, 559, 764, 639 6031, 774, 769, 767, 764 6032, 640, 773, 764, 774 6033, 560, 766, 106, 260 6034, 144, 347, 767, 770 6035, 641, 467, 766, 764 6036, 467, 765, 468, 465 6037, 765, 39, 466, 766 6038, 774, 640, 639, 764 6039, 769, 772, 639, 774 6040, 559, 768, 558, 639 6041, 640, 467, 764, 468 6042, 640, 641, 639, 764 6043, 467, 559, 560, 107 6044, 559, 268, 639, 558 6045, 208, 467, 48, 641 6046, 765, 467, 764, 766 6047, 467, 765, 764, 468 6048, 772, 769, 639, 642 6049, 773, 640, 764, 468 6050, 765, 773, 764, 468 6051, 768, 769, 767, 347 6052, 560, 467, 107, 206 6053, 267, 766, 206, 106 6054, 467, 766, 466, 206 6055, 467, 559, 766, 560 6056, 467, 559, 107, 641 6057, 199, 765, 465, 38 6058, 267, 560, 107, 206 6059, 772, 769, 350, 770 6060, 299, 49, 640, 773 6061, 559, 768, 764, 766 6062, 641, 559, 764, 766 6063, 766, 39, 206, 106 6064, 769, 768, 767, 764 6065, 768, 105, 558, 264 6066, 768, 769, 639, 764 6067, 349, 773, 774, 764 6068, 267, 560, 766, 106 6069, 769, 558, 771, 264 6070, 773, 49, 468, 203 6071, 640, 299, 774, 639 6072, 773, 349, 203, 465 6073, 641, 467, 48, 40 6074, 105, 768, 347, 264 6075, 769, 642, 771, 558 6076, 768, 769, 558, 639 6077, 300, 772, 774, 639 6078, 349, 765, 773, 764 6079, 774, 349, 764, 348 6080, 559, 641, 764, 639 6081, 642, 268, 771, 558 6082, 772, 300, 642, 639 6083, 769, 768, 558, 264 6084, 768, 769, 347, 264 6085, 768, 259, 260, 561 6086, 111, 268, 771, 642 6087, 467, 560, 766, 206 6088, 208, 640, 467, 641 6089, 768, 259, 561, 558 6090, 642, 769, 771, 298 6091, 268, 111, 771, 558 6092, 641, 559, 107, 112 6093, 767, 774, 764, 348 6094, 766, 560, 561, 260 6095, 765, 349, 773, 465 6096, 560, 559, 766, 561 6097, 765, 39, 199, 466 6098, 769, 772, 350, 129 6099, 268, 642, 639, 558 6100, 772, 769, 642, 129 6101, 111, 642, 771, 298 6102, 766, 768, 260, 561 6103, 467, 765, 466, 766 6104, 641, 559, 112, 268 6105, 768, 105, 259, 558 6106, 467, 40, 107, 206 6107, 641, 40, 48, 107 6108, 773, 468, 465, 203 6109, 112, 641, 48, 107 6110, 765, 199, 465, 466 6111, 769, 642, 129, 298 6112, 640, 208, 467, 468 6113, 773, 765, 465, 468 6114, 465, 349, 38, 765 6115, 465, 38, 349, 203 6116, 36, 196, 16, 404 6117, 781, 170, 3, 216 6118, 650, 132, 134, 783 6119, 776, 400, 778, 777 6120, 786, 356, 784, 783 6121, 400, 776, 156, 777 6122, 13, 782, 401, 402 6123, 650, 786, 403, 783 6124, 787, 354, 305, 779 6125, 775, 784, 146, 36 6126, 56, 781, 3, 216 6127, 785, 352, 777, 351 6128, 785, 786, 351, 777 6129, 776, 787, 352, 777 6130, 651, 785, 405, 403 6131, 786, 650, 134, 783 6132, 783, 650, 402, 403 6133, 782, 37, 402, 17 6134, 786, 775, 351, 777 6135, 196, 171, 16, 404 6136, 775, 155, 777, 403 6137, 155, 400, 777, 403 6138, 783, 404, 403, 402 6139, 155, 775, 404, 403 6140, 400, 157, 778, 780 6141, 787, 776, 352, 145 6142, 132, 355, 650, 782 6143, 649, 781, 779, 294 6144, 651, 785, 306, 305 6145, 649, 56, 216, 781 6146, 405, 785, 777, 403 6147, 787, 785, 352, 777 6148, 649, 56, 781, 294 6149, 158, 157, 405, 780 6150, 354, 305, 779, 133 6151, 57, 72, 401, 7 6152, 72, 132, 650, 782 6153, 650, 403, 401, 402 6154, 170, 57, 401, 7 6155, 156, 400, 777, 155 6156, 651, 406, 781, 216 6157, 651, 650, 403, 401 6158, 651, 650, 306, 403 6159, 649, 651, 781, 216 6160, 775, 196, 36, 404 6161, 406, 651, 405, 401 6162, 775, 784, 404, 403 6163, 782, 650, 401, 402 6164, 786, 785, 306, 403 6165, 779, 649, 294, 133 6166, 305, 649, 779, 133 6167, 57, 651, 216, 401 6168, 786, 650, 306, 134 6169, 171, 37, 17, 402 6170, 196, 171, 404, 402 6171, 776, 787, 778, 145 6172, 784, 196, 404, 783 6173, 170, 406, 401, 216 6174, 171, 196, 37, 402 6175, 400, 776, 778, 157 6176, 786, 785, 403, 777 6177, 650, 786, 306, 403 6178, 400, 405, 777, 403 6179, 155, 775, 16, 404 6180, 406, 651, 781, 405 6181, 170, 57, 216, 401 6182, 406, 170, 3, 781 6183, 72, 57, 401, 650 6184, 649, 651, 779, 781 6185, 782, 17, 402, 13 6186, 651, 649, 779, 305 6187, 786, 356, 783, 134 6188, 405, 651, 403, 401 6189, 158, 406, 3, 781 6190, 775, 196, 404, 784 6191, 783, 196, 404, 402 6192, 406, 651, 401, 216 6193, 355, 132, 650, 783 6194, 775, 786, 403, 777 6195, 787, 785, 779, 305 6196, 775, 36, 16, 404 6197, 196, 775, 36, 784 6198, 354, 787, 778, 779 6199, 400, 776, 157, 2 6200, 72, 13, 401, 7 6201, 157, 400, 405, 780 6202, 157, 776, 353, 2 6203, 400, 776, 2, 156 6204, 787, 354, 778, 145 6205, 353, 776, 778, 145 6206, 785, 651, 779, 305 6207, 355, 37, 783, 402 6208, 785, 651, 306, 403 6209, 170, 406, 216, 781 6210, 72, 782, 401, 13 6211, 37, 355, 782, 402 6212, 785, 651, 405, 779 6213, 784, 783, 404, 403 6214, 776, 157, 353, 778 6215, 37, 196, 783, 402 6216, 72, 650, 401, 782 6217, 57, 651, 401, 650 6218, 786, 784, 351, 775 6219, 786, 351, 784, 356 6220, 146, 351, 784, 775 6221, 146, 784, 351, 356 6222, 781, 405, 158, 406 6223, 781, 158, 405, 780 6224, 777, 400, 780, 405 6225, 780, 400, 777, 778 6226, 777, 787, 778, 776 6227, 403, 784, 786, 775 6228, 403, 786, 784, 783 6229, 402, 355, 650, 783 6230, 402, 650, 355, 782 6231, 779, 405, 781, 651 6232, 779, 781, 405, 780 6233, 777, 778, 779, 780 6234, 777, 405, 779, 785 6235, 779, 405, 777, 780 6236, 779, 777, 787, 778 6237, 787, 777, 779, 785 6238, 37, 355, 446, 789 6239, 784, 791, 783, 356 6240, 357, 226, 788, 510 6241, 446, 784, 511, 783 6242, 78, 600, 511, 284 6243, 510, 784, 511, 445 6244, 791, 646, 307, 509 6245, 645, 82, 81, 509 6246, 510, 784, 790, 791 6247, 446, 195, 511, 445 6248, 784, 791, 356, 790 6249, 132, 308, 646, 789 6250, 646, 644, 307, 509 6251, 195, 34, 446, 511 6252, 446, 34, 600, 511 6253, 791, 234, 511, 509 6254, 789, 646, 783, 511 6255, 646, 791, 307, 134 6256, 195, 510, 445, 33 6257, 33, 510, 445, 788 6258, 446, 355, 783, 789 6259, 789, 446, 600, 511 6260, 355, 132, 646, 789 6261, 132, 355, 646, 783 6262, 644, 307, 509, 645 6263, 645, 307, 509, 81 6264, 357, 80, 510, 790 6265, 355, 37, 446, 783 6266, 234, 791, 510, 790 6267, 644, 308, 282, 789 6268, 509, 78, 511, 284 6269, 644, 308, 789, 646 6270, 446, 37, 789, 25 6271, 34, 600, 511, 78 6272, 646, 644, 511, 789 6273, 789, 446, 25, 600 6274, 446, 784, 196, 445 6275, 195, 510, 511, 445 6276, 186, 33, 445, 788 6277, 36, 784, 788, 445 6278, 81, 307, 509, 234 6279, 146, 784, 788, 36 6280, 644, 789, 600, 511 6281, 446, 37, 196, 783 6282, 784, 36, 196, 445 6283, 357, 510, 788, 790 6284, 80, 357, 510, 226 6285, 510, 80, 234, 790 6286, 307, 791, 509, 234 6287, 234, 510, 791, 511 6288, 82, 309, 509, 645 6289, 226, 510, 33, 788 6290, 791, 646, 509, 511 6291, 784, 446, 511, 445 6292, 791, 134, 783, 356 6293, 446, 789, 783, 511 6294, 309, 82, 509, 78 6295, 186, 36, 788, 445 6296, 646, 791, 783, 511 6297, 784, 791, 511, 783 6298, 644, 789, 282, 600 6299, 309, 644, 509, 645 6300, 784, 510, 788, 445 6301, 784, 446, 196, 783 6302, 132, 646, 134, 783 6303, 644, 131, 309, 284 6304, 510, 784, 788, 790 6305, 644, 646, 511, 509 6306, 600, 644, 511, 284 6307, 646, 791, 134, 783 6308, 355, 646, 783, 789 6309, 446, 34, 25, 600 6310, 282, 644, 600, 284 6311, 282, 789, 25, 600 6312, 784, 510, 511, 791 6313, 644, 509, 511, 284 6314, 284, 509, 309, 644 6315, 284, 309, 509, 78 6316, 282, 284, 308, 644 6317, 282, 308, 284, 118 6318, 131, 308, 284, 644 6319, 131, 284, 308, 118 6320, 790, 784, 357, 356 6321, 790, 357, 784, 788 6322, 146, 357, 784, 356 6323, 146, 784, 357, 788 6324, 792, 234, 79, 80 6325, 146, 356, 351, 793 6326, 798, 796, 362, 638 6327, 883, 799, 800, 302 6328, 360, 793, 800, 359 6329, 796, 305, 787, 354 6330, 786, 637, 306, 883 6331, 790, 234, 792, 80 6332, 307, 637, 797, 303 6333, 145, 787, 794, 352 6334, 786, 356, 791, 793 6335, 796, 295, 362, 638 6336, 793, 790, 792, 357 6337, 798, 796, 147, 362 6338, 301, 798, 128, 638 6339, 800, 637, 797, 791 6340, 356, 786, 351, 793 6341, 796, 133, 638, 305 6342, 787, 795, 794, 352 6343, 637, 307, 797, 791 6344, 785, 795, 787, 352 6345, 793, 800, 797, 791 6346, 303, 637, 800, 302 6347, 792, 233, 797, 79 6348, 637, 883, 800, 302 6349, 790, 234, 797, 792 6350, 799, 883, 798, 636 6351, 786, 883, 306, 785 6352, 786, 793, 883, 795 6353, 790, 792, 357, 80 6354, 301, 799, 798, 636 6355, 796, 305, 638, 883 6356, 798, 301, 636, 638 6357, 883, 785, 795, 787 6358, 133, 796, 638, 295 6359, 786, 637, 134, 306 6360, 796, 798, 147, 794 6361, 786, 637, 883, 791 6362, 796, 883, 794, 787 6363, 796, 133, 305, 354 6364, 883, 637, 306, 636 6365, 883, 637, 800, 791 6366, 798, 883, 638, 636 6367, 883, 305, 638, 636 6368, 301, 799, 636, 302 6369, 361, 799, 795, 883 6370, 81, 234, 233, 797 6371, 303, 81, 84, 797 6372, 786, 356, 134, 791 6373, 799, 361, 795, 360 6374, 234, 233, 797, 792 6375, 358, 796, 147, 794 6376, 81, 233, 84, 797 6377, 307, 234, 797, 791 6378, 307, 81, 303, 797 6379, 357, 356, 146, 793 6380, 796, 354, 787, 794 6381, 356, 793, 790, 791 6382, 883, 796, 794, 798 6383, 793, 883, 800, 791 6384, 883, 361, 794, 795 6385, 785, 351, 795, 352 6386, 883, 799, 798, 794 6387, 799, 361, 798, 794 6388, 307, 637, 134, 791 6389, 793, 786, 883, 791 6390, 128, 798, 362, 638 6391, 295, 128, 362, 638 6392, 305, 796, 787, 883 6393, 234, 790, 797, 791 6394, 793, 790, 797, 792 6395, 303, 637, 797, 800 6396, 637, 786, 134, 791 6397, 357, 356, 793, 790 6398, 361, 799, 883, 794 6399, 883, 637, 636, 302 6400, 883, 795, 794, 787 6401, 799, 883, 636, 302 6402, 786, 351, 793, 795 6403, 883, 799, 795, 360 6404, 234, 81, 307, 797 6405, 790, 793, 797, 791 6406, 793, 883, 795, 360 6407, 800, 793, 797, 359 6408, 883, 793, 800, 360 6409, 799, 883, 800, 360 6410, 305, 883, 787, 785 6411, 233, 234, 79, 792 6412, 793, 792, 797, 359 6413, 305, 883, 306, 636 6414, 883, 305, 306, 785 6415, 798, 361, 147, 794 6416, 796, 883, 638, 798 6417, 796, 358, 354, 794 6418, 792, 797, 359, 79 6419, 786, 795, 785, 351 6420, 785, 795, 786, 883 6421, 794, 354, 145, 358 6422, 794, 145, 354, 787 6423, 643, 130, 755, 71 6424, 69, 755, 518, 240 6425, 782, 643, 132, 789 6426, 596, 119, 755, 308 6427, 643, 782, 132, 72 6428, 119, 596, 755, 283 6429, 596, 755, 518, 789 6430, 596, 85, 518, 240 6431, 782, 37, 789, 355 6432, 282, 596, 789, 308 6433, 283, 596, 755, 240 6434, 85, 596, 518, 26 6435, 119, 118, 130, 308 6436, 596, 25, 518, 26 6437, 755, 643, 518, 789 6438, 130, 643, 755, 308 6439, 69, 643, 755, 71 6440, 596, 283, 85, 240 6441, 118, 596, 282, 308 6442, 25, 18, 518, 26 6443, 119, 130, 755, 308 6444, 69, 14, 518, 13 6445, 782, 643, 13, 72 6446, 355, 782, 132, 789 6447, 596, 282, 789, 25 6448, 643, 308, 132, 789 6449, 37, 25, 518, 789 6450, 69, 643, 71, 72 6451, 37, 18, 518, 25 6452, 118, 596, 308, 119 6453, 69, 643, 13, 518 6454, 130, 118, 131, 308 6455, 643, 782, 13, 518 6456, 643, 69, 13, 72 6457, 643, 782, 518, 789 6458, 37, 782, 789, 518 6459, 643, 69, 755, 518 6460, 17, 18, 13, 782 6461, 755, 596, 518, 240 6462, 25, 596, 518, 789 6463, 13, 518, 18, 14 6464, 13, 18, 518, 782 6465, 18, 37, 782, 17 6466, 18, 782, 37, 518 6467, 789, 755, 308, 596 6468, 789, 308, 755, 643 *Elset, elset=GRAIN-1 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065 3066, 3067 *Elset, elset=GRAIN-2 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202 3203, 3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211 3212, 3213, 3214, 3215, 3216, 3217, 3218, 3219, 3220 3221, 3222, 3223, 3224, 3225, 3226, 3227, 3228, 3229 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238 3239, 3240, 3241, 3242 *Elset, elset=GRAIN-3 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251 3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 3269 3270, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278 3279, 3280, 3281, 3282, 3283, 3284, 3285, 3286, 3287 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 3296 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3313, 3314 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341 3342, 3343, 3344 *Elset, elset=GRAIN-4 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398 3399, 3400, 3401, 3402 *Elset, elset=GRAIN-5 3403, 3404, 3405, 3406, 3407, 3408, 3409, 3410, 3411 3412, 3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420 3421, 3422, 3423, 3424, 3425, 3426, 3427, 3428, 3429 3430, 3431, 3432, 3433, 3434, 3435, 3436, 3437, 3438 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447 3448, 3449, 3450, 3451, 3452, 3453 *Elset, elset=GRAIN-6 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461, 3462 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488, 3489 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506, 3507 3508, 3509, 3510 *Elset, elset=GRAIN-7 3511, 3512, 3513, 3514, 3515, 3516, 3517, 3518, 3519 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 3528 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537 3538, 3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546 3547, 3548, 3549, 3550, 3551, 3552, 3553, 3554, 3555 3556, 3557, 3558, 3559, 3560, 3561, 3562, 3563, 3564 3565, 3566, 3567, 3568, 3569, 3570, 3571, 3572, 3573 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 3582 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591 3592, 3593, 3594, 3595, 3596, 3597, 3598, 3599, 3600 3601, 3602, 3603, 3604, 3605, 3606, 3607, 3608, 3609 3610, 3611, 3612, 3613, 3614, 3615, 3616, 3617, 3618 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627 3628, 3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636 3637, 3638, 3639, 3640, 3641, 3642, 3643, 3644, 3645 3646, 3647, 3648 *Elset, elset=GRAIN-8 3649, 3650, 3651, 3652, 3653, 3654, 3655, 3656, 3657 3658, 3659, 3660, 3661, 3662, 3663, 3664, 3665, 3666 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675 3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692, 3693 3694, 3695, 3696, 3697, 3698, 3699, 3700, 3701, 3702 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711 3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720 3721, 3722, 3723, 3724, 3725, 3726, 3727, 3728, 3729 3730, 3731, 3732, 3733, 3734, 3735, 3736, 3737, 3738 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747 3748 *Elset, elset=GRAIN-9 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757 3758, 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766 3767, 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775 3776, 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802 3803, 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811 3812, 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820 3821, 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829 3830, 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847 3848, 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856 3857, 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865 3866, 3867, 3868 *Elset, elset=GRAIN-10 3869, 3870, 3871, 3872, 3873, 3874, 3875, 3876, 3877 3878, 3879, 3880, 3881, 3882, 3883, 3884, 3885, 3886 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895 3896, 3897, 3898, 3899, 3900, 3901, 3902, 3903, 3904 3905, 3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913 3914, 3915, 3916, 3917, 3918, 3919, 3920, 3921, 3922 3923, 3924, 3925, 3926, 3927, 3928, 3929, 3930, 3931 3932, 3933, 3934, 3935, 3936, 3937, 3938, 3939, 3940 3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949 3950, 3951, 3952, 3953, 3954, 3955, 3956, 3957, 3958 3959, 3960, 3961, 3962, 3963, 3964, 3965, 3966, 3967 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3975, 3976 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985 3986, 3987, 3988, 3989, 3990, 3991, 3992, 3993, 3994 3995, 3996, 3997, 3998, 3999, 4000, 4001 *Elset, elset=GRAIN-11 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091 4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100 4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118 4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127 4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136 4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145 4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154 4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163 4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172 4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181 4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199 4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208 4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217 4218, 4219, 4220, 4221, 4222, 4223, 4224, 4225, 4226 4227, 4228, 4229 *Elset, elset=GRAIN-12 4230, 4231, 4232, 4233, 4234, 4235, 4236, 4237, 4238 4239, 4240, 4241, 4242, 4243, 4244, 4245, 4246, 4247 4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256 4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265 4266, 4267, 4268, 4269, 4270, 4271, 4272, 4273, 4274 4275, 4276, 4277, 4278, 4279, 4280, 4281, 4282, 4283 4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292 4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301 4302, 4303, 4304 *Elset, elset=GRAIN-13 4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313 4314, 4315, 4316, 4317, 4318, 4319, 4320, 4321, 4322 4323, 4324, 4325, 4326, 4327, 4328, 4329, 4330, 4331 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340 4341, 4342, 4343, 4344, 4345, 4346, 4347, 4348, 4349 4350, 4351, 4352, 4353, 4354, 4355, 4356, 4357 *Elset, elset=GRAIN-14 4358, 4359, 4360, 4361, 4362, 4363, 4364, 4365, 4366 4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375 4376, 4377, 4378, 4379, 4380, 4381, 4382, 4383, 4384 4385, 4386, 4387, 4388, 4389, 4390, 4391, 4392, 4393 4394, 4395, 4396, 4397, 4398, 4399, 4400, 4401, 4402 4403, 4404, 4405, 4406, 4407, 4408, 4409, 4410, 4411 4412, 4413, 4414, 4415, 4416, 4417, 4418, 4419, 4420 4421, 4422, 4423, 4424, 4425, 4426, 4427, 4428, 4429 4430, 4431, 4432, 4433, 4434, 4435, 4436, 4437, 4438 4439, 4440, 4441, 4442, 4443, 4444, 4445, 4446 *Elset, elset=GRAIN-15 4447, 4448, 4449, 4450, 4451, 4452, 4453, 4454, 4455 4456, 4457, 4458, 4459, 4460, 4461, 4462, 4463, 4464 4465, 4466, 4467, 4468, 4469, 4470, 4471, 4472 *Elset, elset=GRAIN-16 4473, 4474, 4475, 4476, 4477, 4478, 4479, 4480, 4481 4482, 4483, 4484, 4485, 4486, 4487, 4488, 4489, 4490 4491, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4499 4500, 4501, 4502, 4503, 4504, 4505, 4506, 4507, 4508 4509, 4510, 4511, 4512, 4513, 4514, 4515, 4516, 4517 4518, 4519, 4520, 4521, 4522, 4523, 4524, 4525, 4526 4527, 4528, 4529, 4530, 4531, 4532, 4533, 4534, 4535 4536, 4537, 4538, 4539 *Elset, elset=GRAIN-17 4540, 4541, 4542, 4543, 4544, 4545, 4546, 4547, 4548 4549, 4550, 4551, 4552, 4553, 4554, 4555, 4556, 4557 4558, 4559, 4560, 4561, 4562, 4563, 4564, 4565, 4566 4567, 4568, 4569, 4570, 4571, 4572, 4573, 4574, 4575 4576, 4577, 4578, 4579, 4580, 4581, 4582, 4583, 4584 4585, 4586, 4587, 4588, 4589, 4590, 4591, 4592, 4593 4594, 4595, 4596, 4597, 4598, 4599, 4600, 4601, 4602 4603, 4604, 4605, 4606, 4607, 4608, 4609, 4610, 4611 4612, 4613, 4614, 4615, 4616, 4617, 4618, 4619, 4620 4621, 4622, 4623, 4624, 4625, 4626, 4627, 4628, 4629 4630, 4631, 4632, 4633, 4634, 4635, 4636, 4637, 4638 4639, 4640, 4641, 4642, 4643, 4644, 4645, 4646, 4647 4648, 4649, 4650, 4651, 4652, 4653, 4654, 4655, 4656 4657, 4658, 4659, 4660, 4661, 4662, 4663, 4664, 4665 4666, 4667, 4668, 4669, 4670, 4671, 4672, 4673, 4674 4675, 4676, 4677, 4678, 4679, 4680, 4681, 4682, 4683 4684, 4685, 4686, 4687, 4688, 4689, 4690, 4691, 4692 4693, 4694, 4695, 4696, 4697, 4698, 4699, 4700, 4701 4702, 4703, 4704, 4705, 4706, 4707, 4708, 4709, 4710 4711, 4712, 4713, 4714, 4715, 4716, 4717, 4718, 4719 4720, 4721, 4722, 4723, 4724, 4725, 4726, 4727, 4728 4729, 4730, 4731, 4732, 4733, 4734, 4735, 4736, 4737 4738, 4739, 4740, 4741, 4742, 4743, 4744, 4745, 4746 4747, 4748, 4749, 4750, 4751, 4752, 4753, 4754, 4755 4756, 4757, 4758, 4759, 4760, 4761, 4762, 4763, 4764 4765, 4766, 4767, 4768, 4769, 4770, 4771, 4772, 4773 4774, 4775, 4776, 4777, 4778, 4779, 4780, 4781, 4782 4783, 4784, 4785, 4786, 4787, 4788, 4789, 4790, 4791 4792, 4793, 4794, 4795, 4796, 4797, 4798, 4799 *Elset, elset=GRAIN-18 4800, 4801, 4802, 4803, 4804, 4805, 4806, 4807, 4808 4809, 4810, 4811, 4812, 4813, 4814, 4815, 4816, 4817 4818, 4819, 4820, 4821, 4822, 4823, 4824, 4825, 4826 4827, 4828, 4829, 4830, 4831, 4832, 4833, 4834, 4835 4836, 4837, 4838, 4839, 4840, 4841, 4842, 4843, 4844 4845, 4846, 4847, 4848, 4849, 4850, 4851, 4852, 4853 4854, 4855, 4856, 4857, 4858, 4859, 4860, 4861, 4862 4863, 4864, 4865, 4866, 4867, 4868, 4869, 4870, 4871 4872, 4873, 4874, 4875, 4876, 4877, 4878, 4879, 4880 4881, 4882, 4883, 4884, 4885, 4886, 4887, 4888, 4889 4890, 4891, 4892, 4893, 4894, 4895, 4896, 4897, 4898 4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4907 4908, 4909, 4910, 4911, 4912, 4913, 4914, 4915, 4916 4917, 4918, 4919, 4920, 4921, 4922, 4923, 4924, 4925 4926, 4927, 4928, 4929, 4930 *Elset, elset=GRAIN-19 4931, 4932, 4933, 4934, 4935, 4936, 4937, 4938, 4939 4940, 4941, 4942, 4943, 4944, 4945, 4946, 4947, 4948 4949, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957 4958, 4959, 4960, 4961, 4962, 4963, 4964, 4965, 4966 4967, 4968, 4969, 4970, 4971, 4972, 4973, 4974, 4975 4976, 4977, 4978, 4979, 4980, 4981, 4982, 4983, 4984 4985, 4986, 4987, 4988, 4989, 4990, 4991, 4992, 4993 4994, 4995, 4996, 4997, 4998, 4999, 5000, 5001, 5002 5003, 5004, 5005, 5006, 5007, 5008, 5009, 5010, 5011 5012, 5013, 5014, 5015, 5016, 5017, 5018, 5019, 5020 5021, 5022, 5023, 5024, 5025, 5026, 5027, 5028, 5029 5030, 5031, 5032, 5033, 5034, 5035, 5036, 5037, 5038 5039, 5040, 5041, 5042, 5043, 5044, 5045, 5046, 5047 5048, 5049, 5050, 5051, 5052, 5053, 5054, 5055, 5056 5057, 5058, 5059, 5060, 5061, 5062, 5063, 5064, 5065 5066, 5067, 5068, 5069, 5070, 5071, 5072, 5073, 5074 5075, 5076, 5077, 5078, 5079, 5080, 5081, 5082, 5083 5084, 5085, 5086, 5087, 5088, 5089, 5090, 5091, 5092 5093, 5094, 5095, 5096, 5097, 5098, 5099, 5100, 5101 5102, 5103, 5104, 5105, 5106, 5107, 5108, 5109, 5110 5111, 5112, 5113, 5114, 5115, 5116, 5117, 5118, 5119 5120, 5121, 5122, 5123, 5124, 5125, 5126, 5127, 5128 5129, 5130, 5131, 5132, 5133, 5134, 5135, 5136, 5137 5138, 5139, 5140, 5141, 5142, 5143, 5144, 5145, 5146 5147, 5148, 5149, 5150, 5151, 5152, 5153, 5154, 5155 5156, 5157, 5158, 5159, 5160, 5161, 5162, 5163, 5164 5165, 5166, 5167, 5168, 5169, 5170, 5171, 5172, 5173 5174, 5175, 5176, 5177, 5178, 5179, 5180, 5181, 5182 5183, 5184, 5185, 5186, 5187, 5188, 5189, 5190, 5191 5192, 5193, 5194, 5195, 5196, 5197, 5198, 5199, 5200 5201, 5202, 5203, 5204, 5205, 5206, 5207, 5208, 5209 5210, 5211, 5212, 5213, 5214, 5215, 5216, 5217, 5218 5219, 5220, 5221, 5222, 5223, 5224, 5225, 5226, 5227 5228, 5229, 5230, 5231, 5232, 5233, 5234, 5235, 5236 5237, 5238, 5239, 5240, 5241, 5242, 5243, 5244, 5245 5246, 5247 *Elset, elset=GRAIN-20 5248, 5249, 5250, 5251, 5252, 5253, 5254, 5255, 5256 5257, 5258, 5259, 5260, 5261, 5262, 5263, 5264, 5265 5266, 5267, 5268, 5269, 5270, 5271, 5272, 5273, 5274 5275, 5276, 5277, 5278, 5279, 5280, 5281, 5282, 5283 5284, 5285, 5286, 5287, 5288, 5289, 5290, 5291, 5292 5293, 5294, 5295, 5296, 5297, 5298, 5299, 5300, 5301 5302, 5303, 5304, 5305, 5306, 5307, 5308, 5309, 5310 5311, 5312, 5313, 5314, 5315, 5316, 5317, 5318, 5319 5320, 5321, 5322, 5323, 5324, 5325, 5326, 5327, 5328 5329, 5330, 5331, 5332, 5333, 5334, 5335, 5336, 5337 5338, 5339, 5340, 5341, 5342, 5343, 5344, 5345, 5346 5347, 5348, 5349, 5350, 5351, 5352, 5353, 5354, 5355 5356, 5357, 5358, 5359, 5360, 5361, 5362, 5363, 5364 5365, 5366, 5367, 5368, 5369, 5370, 5371, 5372, 5373 5374, 5375, 5376, 5377, 5378, 5379, 5380, 5381, 5382 5383, 5384, 5385, 5386, 5387, 5388, 5389, 5390, 5391 5392, 5393, 5394, 5395, 5396, 5397, 5398, 5399, 5400 5401, 5402, 5403, 5404, 5405, 5406, 5407, 5408, 5409 5410, 5411, 5412, 5413, 5414, 5415, 5416, 5417, 5418 5419, 5420, 5421, 5422, 5423, 5424, 5425, 5426, 5427 5428, 5429, 5430, 5431, 5432, 5433, 5434, 5435, 5436 5437, 5438, 5439, 5440, 5441, 5442, 5443, 5444, 5445 5446, 5447, 5448, 5449, 5450, 5451, 5452, 5453, 5454 5455, 5456, 5457, 5458, 5459, 5460, 5461, 5462, 5463 5464, 5465, 5466, 5467, 5468, 5469, 5470, 5471, 5472 5473, 5474, 5475, 5476, 5477, 5478, 5479, 5480, 5481 5482, 5483, 5484, 5485, 5486, 5487, 5488, 5489, 5490 5491, 5492, 5493, 5494, 5495, 5496, 5497, 5498, 5499 5500, 5501, 5502, 5503, 5504, 5505, 5506, 5507, 5508 5509, 5510, 5511, 5512, 5513, 5514, 5515, 5516, 5517 5518, 5519, 5520, 5521, 5522, 5523, 5524, 5525, 5526 5527, 5528, 5529, 5530, 5531, 5532, 5533, 5534, 5535 5536, 5537, 5538, 5539, 5540, 5541, 5542, 5543, 5544 5545, 5546, 5547, 5548, 5549, 5550, 5551, 5552, 5553 5554, 5555, 5556, 5557, 5558, 5559, 5560, 5561, 5562 5563, 5564, 5565, 5566, 5567, 5568, 5569, 5570 *Elset, elset=GRAIN-21 5571, 5572, 5573, 5574, 5575, 5576, 5577, 5578, 5579 5580, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5588 5589, 5590, 5591, 5592, 5593, 5594, 5595, 5596, 5597 5598, 5599, 5600, 5601, 5602, 5603, 5604, 5605, 5606 5607, 5608, 5609, 5610, 5611, 5612, 5613, 5614, 5615 5616, 5617, 5618, 5619, 5620, 5621, 5622, 5623, 5624 5625, 5626, 5627, 5628, 5629, 5630, 5631, 5632, 5633 5634, 5635, 5636, 5637, 5638, 5639, 5640, 5641, 5642 5643, 5644, 5645, 5646, 5647, 5648, 5649, 5650, 5651 5652, 5653, 5654, 5655, 5656, 5657, 5658, 5659, 5660 5661, 5662, 5663, 5664, 5665, 5666, 5667, 5668, 5669 5670, 5671, 5672, 5673, 5674, 5675, 5676, 5677, 5678 5679, 5680, 5681, 5682, 5683, 5684, 5685, 5686, 5687 5688, 5689, 5690, 5691, 5692, 5693, 5694, 5695, 5696 5697, 5698, 5699, 5700, 5701, 5702, 5703, 5704, 5705 5706, 5707, 5708, 5709, 5710 *Elset, elset=GRAIN-22 5711, 5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719 5720, 5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728 5729, 5730, 5731, 5732, 5733, 5734, 5735, 5736, 5737 5738, 5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746 5747, 5748, 5749, 5750, 5751, 5752, 5753, 5754, 5755 5756, 5757, 5758, 5759, 5760, 5761, 5762, 5763, 5764 5765, 5766, 5767, 5768, 5769, 5770 *Elset, elset=GRAIN-23 5771, 5772, 5773, 5774, 5775, 5776, 5777, 5778, 5779 5780, 5781, 5782, 5783, 5784, 5785, 5786, 5787, 5788 5789, 5790, 5791, 5792, 5793, 5794, 5795, 5796, 5797 5798, 5799, 5800, 5801, 5802, 5803, 5804, 5805, 5806 5807, 5808, 5809, 5810, 5811, 5812, 5813, 5814, 5815 5816, 5817, 5818, 5819, 5820, 5821, 5822, 5823, 5824 5825, 5826, 5827, 5828, 5829, 5830, 5831, 5832, 5833 5834, 5835, 5836, 5837, 5838, 5839, 5840, 5841, 5842 5843, 5844, 5845, 5846, 5847, 5848 *Elset, elset=GRAIN-24 5849, 5850, 5851, 5852, 5853, 5854, 5855, 5856, 5857 5858, 5859, 5860, 5861, 5862, 5863, 5864, 5865, 5866 5867, 5868, 5869, 5870, 5871, 5872, 5873, 5874, 5875 5876, 5877, 5878 *Elset, elset=GRAIN-25 5879, 5880, 5881, 5882, 5883, 5884, 5885, 5886, 5887 5888, 5889, 5890, 5891, 5892, 5893, 5894, 5895, 5896 5897, 5898, 5899, 5900, 5901, 5902, 5903, 5904, 5905 5906, 5907, 5908, 5909, 5910, 5911, 5912, 5913, 5914 5915, 5916, 5917, 5918, 5919, 5920, 5921, 5922, 5923 5924, 5925, 5926, 5927, 5928, 5929, 5930, 5931, 5932 5933, 5934, 5935, 5936, 5937, 5938, 5939, 5940, 5941 5942, 5943, 5944, 5945, 5946, 5947, 5948, 5949, 5950 5951, 5952, 5953, 5954, 5955, 5956, 5957, 5958, 5959 5960, 5961, 5962, 5963, 5964, 5965, 5966, 5967, 5968 5969, 5970, 5971, 5972, 5973, 5974, 5975, 5976, 5977 5978, 5979, 5980, 5981, 5982, 5983, 5984, 5985, 5986 5987, 5988, 5989, 5990, 5991, 5992, 5993, 5994, 5995 5996, 5997, 5998, 5999, 6000, 6001, 6002, 6003, 6004 *Elset, elset=GRAIN-26 6005, 6006, 6007, 6008, 6009, 6010, 6011, 6012, 6013 6014, 6015, 6016, 6017, 6018, 6019, 6020, 6021, 6022 6023, 6024, 6025, 6026, 6027, 6028, 6029, 6030, 6031 6032, 6033, 6034, 6035, 6036, 6037, 6038, 6039, 6040 6041, 6042, 6043, 6044, 6045, 6046, 6047, 6048, 6049 6050, 6051, 6052, 6053, 6054, 6055, 6056, 6057, 6058 6059, 6060, 6061, 6062, 6063, 6064, 6065, 6066, 6067 6068, 6069, 6070, 6071, 6072, 6073, 6074, 6075, 6076 6077, 6078, 6079, 6080, 6081, 6082, 6083, 6084, 6085 6086, 6087, 6088, 6089, 6090, 6091, 6092, 6093, 6094 6095, 6096, 6097, 6098, 6099, 6100, 6101, 6102, 6103 6104, 6105, 6106, 6107, 6108, 6109, 6110, 6111, 6112 6113, 6114, 6115 *Elset, elset=GRAIN-27 6116, 6117, 6118, 6119, 6120, 6121, 6122, 6123, 6124 6125, 6126, 6127, 6128, 6129, 6130, 6131, 6132, 6133 6134, 6135, 6136, 6137, 6138, 6139, 6140, 6141, 6142 6143, 6144, 6145, 6146, 6147, 6148, 6149, 6150, 6151 6152, 6153, 6154, 6155, 6156, 6157, 6158, 6159, 6160 6161, 6162, 6163, 6164, 6165, 6166, 6167, 6168, 6169 6170, 6171, 6172, 6173, 6174, 6175, 6176, 6177, 6178 6179, 6180, 6181, 6182, 6183, 6184, 6185, 6186, 6187 6188, 6189, 6190, 6191, 6192, 6193, 6194, 6195, 6196 6197, 6198, 6199, 6200, 6201, 6202, 6203, 6204, 6205 6206, 6207, 6208, 6209, 6210, 6211, 6212, 6213, 6214 6215, 6216, 6217, 6218, 6219, 6220, 6221, 6222, 6223 6224, 6225, 6226, 6227, 6228, 6229, 6230, 6231, 6232 6233, 6234, 6235, 6236, 6237 *Elset, elset=GRAIN-28 6238, 6239, 6240, 6241, 6242, 6243, 6244, 6245, 6246 6247, 6248, 6249, 6250, 6251, 6252, 6253, 6254, 6255 6256, 6257, 6258, 6259, 6260, 6261, 6262, 6263, 6264 6265, 6266, 6267, 6268, 6269, 6270, 6271, 6272, 6273 6274, 6275, 6276, 6277, 6278, 6279, 6280, 6281, 6282 6283, 6284, 6285, 6286, 6287, 6288, 6289, 6290, 6291 6292, 6293, 6294, 6295, 6296, 6297, 6298, 6299, 6300 6301, 6302, 6303, 6304, 6305, 6306, 6307, 6308, 6309 6310, 6311, 6312, 6313, 6314, 6315, 6316, 6317, 6318 6319, 6320, 6321, 6322, 6323 *Elset, elset=GRAIN-29 6324, 6325, 6326, 6327, 6328, 6329, 6330, 6331, 6332 6333, 6334, 6335, 6336, 6337, 6338, 6339, 6340, 6341 6342, 6343, 6344, 6345, 6346, 6347, 6348, 6349, 6350 6351, 6352, 6353, 6354, 6355, 6356, 6357, 6358, 6359 6360, 6361, 6362, 6363, 6364, 6365, 6366, 6367, 6368 6369, 6370, 6371, 6372, 6373, 6374, 6375, 6376, 6377 6378, 6379, 6380, 6381, 6382, 6383, 6384, 6385, 6386 6387, 6388, 6389, 6390, 6391, 6392, 6393, 6394, 6395 6396, 6397, 6398, 6399, 6400, 6401, 6402, 6403, 6404 6405, 6406, 6407, 6408, 6409, 6410, 6411, 6412, 6413 6414, 6415, 6416, 6417, 6418, 6419, 6420, 6421, 6422 *Elset, elset=GRAIN-30 6423, 6424, 6425, 6426, 6427, 6428, 6429, 6430, 6431 6432, 6433, 6434, 6435, 6436, 6437, 6438, 6439, 6440 6441, 6442, 6443, 6444, 6445, 6446, 6447, 6448, 6449 6450, 6451, 6452, 6453, 6454, 6455, 6456, 6457, 6458 6459, 6460, 6461, 6462, 6463, 6464, 6465, 6466, 6467 6468 *Elset, elset=Phase-1 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200 3201, 3202, 3203, 3204, 3205, 3206, 3207, 3208, 3209 3210, 3211, 3212, 3213, 3214, 3215, 3216, 3217, 3218 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227 3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236 3237, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245 3246, 3247, 3248, 3249, 3250, 3251, 3252, 3253, 3254 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263 3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272 3273, 3274, 3275, 3276, 3277, 3278, 3279, 3280, 3281 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290 3291, 3292, 3293, 3294, 3295, 3296, 3297, 3298, 3299 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 3308 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 3344 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353 3354, 3355, 3356, 3357, 3358, 3359, 3360, 3361, 3362 3363, 3364, 3365, 3366, 3367, 3368, 3369, 3370, 3371 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 3380 3381, 3382, 3383, 3384, 3385, 3386, 3387, 3388, 3389 3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398 3399, 3400, 3401, 3402, 3403, 3404, 3405, 3406, 3407 3408, 3409, 3410, 3411, 3412, 3413, 3414, 3415, 3416 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 3425 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434 3435, 3436, 3437, 3438, 3439, 3440, 3441, 3442, 3443 3444, 3445, 3446, 3447, 3448, 3449, 3450, 3451, 3452 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 3461 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470 3471, 3472, 3473, 3474, 3475, 3476, 3477, 3478, 3479 3480, 3481, 3482, 3483, 3484, 3485, 3486, 3487, 3488 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3506 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515 3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524 3525, 3526, 3527, 3528, 3529, 3530, 3531, 3532, 3533 3534, 3535, 3536, 3537, 3538, 3539, 3540, 3541, 3542 3543, 3544, 3545, 3546, 3547, 3548, 3549, 3550, 3551 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3559, 3560 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569 3570, 3571, 3572, 3573, 3574, 3575, 3576, 3577, 3578 3579, 3580, 3581, 3582, 3583, 3584, 3585, 3586, 3587 3588, 3589, 3590, 3591, 3592, 3593, 3594, 3595, 3596 3597, 3598, 3599, 3600, 3601, 3602, 3603, 3604, 3605 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614 3615, 3616, 3617, 3618, 3619, 3620, 3621, 3622, 3623 3624, 3625, 3626, 3627, 3628, 3629, 3630, 3631, 3632 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 3641 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650 3651, 3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659 3660, 3661, 3662, 3663, 3664, 3665, 3666, 3667, 3668 3669, 3670, 3671, 3672, 3673, 3674, 3675, 3676, 3677 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686 3687, 3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695 3696, 3697, 3698, 3699, 3700, 3701, 3702, 3703, 3704 3705, 3706, 3707, 3708, 3709, 3710, 3711, 3712, 3713 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722 3723, 3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731 3732, 3733, 3734, 3735, 3736, 3737, 3738, 3739, 3740 3741, 3742, 3743, 3744, 3745, 3746, 3747, 3748, 3749 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758 3759, 3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767 3768, 3769, 3770, 3771, 3772, 3773, 3774, 3775, 3776 3777, 3778, 3779, 3780, 3781, 3782, 3783, 3784, 3785 3786, 3787, 3788, 3789, 3790, 3791, 3792, 3793, 3794 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803 3804, 3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812 3813, 3814, 3815, 3816, 3817, 3818, 3819, 3820, 3821 3822, 3823, 3824, 3825, 3826, 3827, 3828, 3829, 3830 3831, 3832, 3833, 3834, 3835, 3836, 3837, 3838, 3839 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848 3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857 3858, 3859, 3860, 3861, 3862, 3863, 3864, 3865, 3866 3867, 3868, 3869, 3870, 3871, 3872, 3873, 3874, 3875 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 3884 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893 3894, 3895, 3896, 3897, 3898, 3899, 3900, 3901, 3902 3903, 3904, 3905, 3906, 3907, 3908, 3909, 3910, 3911 3912, 3913, 3914, 3915, 3916, 3917, 3918, 3919, 3920 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929 3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3938 3939, 3940, 3941, 3942, 3943, 3944, 3945, 3946, 3947 3948, 3949, 3950, 3951, 3952, 3953, 3954, 3955, 3956 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 3965 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974 3975, 3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983 3984, 3985, 3986, 3987, 3988, 3989, 3990, 3991, 3992 3993, 3994, 3995, 3996, 3997, 3998, 3999, 4000, 4001 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010 4011, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019 4020, 4021, 4022, 4023, 4024, 4025, 4026, 4027, 4028 4029, 4030, 4031, 4032, 4033, 4034, 4035, 4036, 4037 4038, 4039, 4040, 4041, 4042, 4043, 4044, 4045, 4046 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 4082 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091 4092, 4093, 4094, 4095, 4096, 4097, 4098, 4099, 4100 4101, 4102, 4103, 4104, 4105, 4106, 4107, 4108, 4109 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 4118 4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127 4128, 4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136 4137, 4138, 4139, 4140, 4141, 4142, 4143, 4144, 4145 4146, 4147, 4148, 4149, 4150, 4151, 4152, 4153, 4154 4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163 4164, 4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172 4173, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181 4182, 4183, 4184, 4185, 4186, 4187, 4188, 4189, 4190 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4198, 4199 4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208 4209, 4210, 4211, 4212, 4213, 4214, 4215, 4216, 4217 4218, 4219, 4220, 4221, 4222, 4223, 4224, 4225, 4226 4227, 4228, 4229, 4230, 4231, 4232, 4233, 4234, 4235 4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244 4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253 4254, 4255, 4256, 4257, 4258, 4259, 4260, 4261, 4262 4263, 4264, 4265, 4266, 4267, 4268, 4269, 4270, 4271 4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280 4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289 4290, 4291, 4292, 4293, 4294, 4295, 4296, 4297, 4298 4299, 4300, 4301, 4302, 4303, 4304, 4305, 4306, 4307 4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316 4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325 4326, 4327, 4328, 4329, 4330, 4331, 4332, 4333, 4334 4335, 4336, 4337, 4338, 4339, 4340, 4341, 4342, 4343 4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352 4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361 4362, 4363, 4364, 4365, 4366, 4367, 4368, 4369, 4370 4371, 4372, 4373, 4374, 4375, 4376, 4377, 4378, 4379 4380, 4381, 4382, 4383, 4384, 4385, 4386, 4387, 4388 4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397 4398, 4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406 4407, 4408, 4409, 4410, 4411, 4412, 4413, 4414, 4415 4416, 4417, 4418, 4419, 4420, 4421, 4422, 4423, 4424 4425, 4426, 4427, 4428, 4429, 4430, 4431, 4432, 4433 4434, 4435, 4436, 4437, 4438, 4439, 4440, 4441, 4442 4443, 4444, 4445, 4446, 4447, 4448, 4449, 4450, 4451 4452, 4453, 4454, 4455, 4456, 4457, 4458, 4459, 4460 4461, 4462, 4463, 4464, 4465, 4466, 4467, 4468, 4469 4470, 4471, 4472, 4473, 4474, 4475, 4476, 4477, 4478 4479, 4480, 4481, 4482, 4483, 4484, 4485, 4486, 4487 4488, 4489, 4490, 4491, 4492, 4493, 4494, 4495, 4496 4497, 4498, 4499, 4500, 4501, 4502, 4503, 4504, 4505 4506, 4507, 4508, 4509, 4510, 4511, 4512, 4513, 4514 4515, 4516, 4517, 4518, 4519, 4520, 4521, 4522, 4523 4524, 4525, 4526, 4527, 4528, 4529, 4530, 4531, 4532 4533, 4534, 4535, 4536, 4537, 4538, 4539, 4540, 4541 4542, 4543, 4544, 4545, 4546, 4547, 4548, 4549, 4550 4551, 4552, 4553, 4554, 4555, 4556, 4557, 4558, 4559 4560, 4561, 4562, 4563, 4564, 4565, 4566, 4567, 4568 4569, 4570, 4571, 4572, 4573, 4574, 4575, 4576, 4577 4578, 4579, 4580, 4581, 4582, 4583, 4584, 4585, 4586 4587, 4588, 4589, 4590, 4591, 4592, 4593, 4594, 4595 4596, 4597, 4598, 4599, 4600, 4601, 4602, 4603, 4604 4605, 4606, 4607, 4608, 4609, 4610, 4611, 4612, 4613 4614, 4615, 4616, 4617, 4618, 4619, 4620, 4621, 4622 4623, 4624, 4625, 4626, 4627, 4628, 4629, 4630, 4631 4632, 4633, 4634, 4635, 4636, 4637, 4638, 4639, 4640 4641, 4642, 4643, 4644, 4645, 4646, 4647, 4648, 4649 4650, 4651, 4652, 4653, 4654, 4655, 4656, 4657, 4658 4659, 4660, 4661, 4662, 4663, 4664, 4665, 4666, 4667 4668, 4669, 4670, 4671, 4672, 4673, 4674, 4675, 4676 4677, 4678, 4679, 4680, 4681, 4682, 4683, 4684, 4685 4686, 4687, 4688, 4689, 4690, 4691, 4692, 4693, 4694 4695, 4696, 4697, 4698, 4699, 4700, 4701, 4702, 4703 4704, 4705, 4706, 4707, 4708, 4709, 4710, 4711, 4712 4713, 4714, 4715, 4716, 4717, 4718, 4719, 4720, 4721 4722, 4723, 4724, 4725, 4726, 4727, 4728, 4729, 4730 4731, 4732, 4733, 4734, 4735, 4736, 4737, 4738, 4739 4740, 4741, 4742, 4743, 4744, 4745, 4746, 4747, 4748 4749, 4750, 4751, 4752, 4753, 4754, 4755, 4756, 4757 4758, 4759, 4760, 4761, 4762, 4763, 4764, 4765, 4766 4767, 4768, 4769, 4770, 4771, 4772, 4773, 4774, 4775 4776, 4777, 4778, 4779, 4780, 4781, 4782, 4783, 4784 4785, 4786, 4787, 4788, 4789, 4790, 4791, 4792, 4793 4794, 4795, 4796, 4797, 4798, 4799, 4800, 4801, 4802 4803, 4804, 4805, 4806, 4807, 4808, 4809, 4810, 4811 4812, 4813, 4814, 4815, 4816, 4817, 4818, 4819, 4820 4821, 4822, 4823, 4824, 4825, 4826, 4827, 4828, 4829 4830, 4831, 4832, 4833, 4834, 4835, 4836, 4837, 4838 4839, 4840, 4841, 4842, 4843, 4844, 4845, 4846, 4847 4848, 4849, 4850, 4851, 4852, 4853, 4854, 4855, 4856 4857, 4858, 4859, 4860, 4861, 4862, 4863, 4864, 4865 4866, 4867, 4868, 4869, 4870, 4871, 4872, 4873, 4874 4875, 4876, 4877, 4878, 4879, 4880, 4881, 4882, 4883 4884, 4885, 4886, 4887, 4888, 4889, 4890, 4891, 4892 4893, 4894, 4895, 4896, 4897, 4898, 4899, 4900, 4901 4902, 4903, 4904, 4905, 4906, 4907, 4908, 4909, 4910 4911, 4912, 4913, 4914, 4915, 4916, 4917, 4918, 4919 4920, 4921, 4922, 4923, 4924, 4925, 4926, 4927, 4928 4929, 4930, 4931, 4932, 4933, 4934, 4935, 4936, 4937 4938, 4939, 4940, 4941, 4942, 4943, 4944, 4945, 4946 4947, 4948, 4949, 4950, 4951, 4952, 4953, 4954, 4955 4956, 4957, 4958, 4959, 4960, 4961, 4962, 4963, 4964 4965, 4966, 4967, 4968, 4969, 4970, 4971, 4972, 4973 4974, 4975, 4976, 4977, 4978, 4979, 4980, 4981, 4982 4983, 4984, 4985, 4986, 4987, 4988, 4989, 4990, 4991 4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999, 5000 5001, 5002, 5003, 5004, 5005, 5006, 5007, 5008, 5009 5010, 5011, 5012, 5013, 5014, 5015, 5016, 5017, 5018 5019, 5020, 5021, 5022, 5023, 5024, 5025, 5026, 5027 5028, 5029, 5030, 5031, 5032, 5033, 5034, 5035, 5036 5037, 5038, 5039, 5040, 5041, 5042, 5043, 5044, 5045 5046, 5047, 5048, 5049, 5050, 5051, 5052, 5053, 5054 5055, 5056, 5057, 5058, 5059, 5060, 5061, 5062, 5063 5064, 5065, 5066, 5067, 5068, 5069, 5070, 5071, 5072 5073, 5074, 5075, 5076, 5077, 5078, 5079, 5080, 5081 5082, 5083, 5084, 5085, 5086, 5087, 5088, 5089, 5090 5091, 5092, 5093, 5094, 5095, 5096, 5097, 5098, 5099 5100, 5101, 5102, 5103, 5104, 5105, 5106, 5107, 5108 5109, 5110, 5111, 5112, 5113, 5114, 5115, 5116, 5117 5118, 5119, 5120, 5121, 5122, 5123, 5124, 5125, 5126 5127, 5128, 5129, 5130, 5131, 5132, 5133, 5134, 5135 5136, 5137, 5138, 5139, 5140, 5141, 5142, 5143, 5144 5145, 5146, 5147, 5148, 5149, 5150, 5151, 5152, 5153 5154, 5155, 5156, 5157, 5158, 5159, 5160, 5161, 5162 5163, 5164, 5165, 5166, 5167, 5168, 5169, 5170, 5171 5172, 5173, 5174, 5175, 5176, 5177, 5178, 5179, 5180 5181, 5182, 5183, 5184, 5185, 5186, 5187, 5188, 5189 5190, 5191, 5192, 5193, 5194, 5195, 5196, 5197, 5198 5199, 5200, 5201, 5202, 5203, 5204, 5205, 5206, 5207 5208, 5209, 5210, 5211, 5212, 5213, 5214, 5215, 5216 5217, 5218, 5219, 5220, 5221, 5222, 5223, 5224, 5225 5226, 5227, 5228, 5229, 5230, 5231, 5232, 5233, 5234 5235, 5236, 5237, 5238, 5239, 5240, 5241, 5242, 5243 5244, 5245, 5246, 5247, 5248, 5249, 5250, 5251, 5252 5253, 5254, 5255, 5256, 5257, 5258, 5259, 5260, 5261 5262, 5263, 5264, 5265, 5266, 5267, 5268, 5269, 5270 5271, 5272, 5273, 5274, 5275, 5276, 5277, 5278, 5279 5280, 5281, 5282, 5283, 5284, 5285, 5286, 5287, 5288 5289, 5290, 5291, 5292, 5293, 5294, 5295, 5296, 5297 5298, 5299, 5300, 5301, 5302, 5303, 5304, 5305, 5306 5307, 5308, 5309, 5310, 5311, 5312, 5313, 5314, 5315 5316, 5317, 5318, 5319, 5320, 5321, 5322, 5323, 5324 5325, 5326, 5327, 5328, 5329, 5330, 5331, 5332, 5333 5334, 5335, 5336, 5337, 5338, 5339, 5340, 5341, 5342 5343, 5344, 5345, 5346, 5347, 5348, 5349, 5350, 5351 5352, 5353, 5354, 5355, 5356, 5357, 5358, 5359, 5360 5361, 5362, 5363, 5364, 5365, 5366, 5367, 5368, 5369 5370, 5371, 5372, 5373, 5374, 5375, 5376, 5377, 5378 5379, 5380, 5381, 5382, 5383, 5384, 5385, 5386, 5387 5388, 5389, 5390, 5391, 5392, 5393, 5394, 5395, 5396 5397, 5398, 5399, 5400, 5401, 5402, 5403, 5404, 5405 5406, 5407, 5408, 5409, 5410, 5411, 5412, 5413, 5414 5415, 5416, 5417, 5418, 5419, 5420, 5421, 5422, 5423 5424, 5425, 5426, 5427, 5428, 5429, 5430, 5431, 5432 5433, 5434, 5435, 5436, 5437, 5438, 5439, 5440, 5441 5442, 5443, 5444, 5445, 5446, 5447, 5448, 5449, 5450 5451, 5452, 5453, 5454, 5455, 5456, 5457, 5458, 5459 5460, 5461, 5462, 5463, 5464, 5465, 5466, 5467, 5468 5469, 5470, 5471, 5472, 5473, 5474, 5475, 5476, 5477 5478, 5479, 5480, 5481, 5482, 5483, 5484, 5485, 5486 5487, 5488, 5489, 5490, 5491, 5492, 5493, 5494, 5495 5496, 5497, 5498, 5499, 5500, 5501, 5502, 5503, 5504 5505, 5506, 5507, 5508, 5509, 5510, 5511, 5512, 5513 5514, 5515, 5516, 5517, 5518, 5519, 5520, 5521, 5522 5523, 5524, 5525, 5526, 5527, 5528, 5529, 5530, 5531 5532, 5533, 5534, 5535, 5536, 5537, 5538, 5539, 5540 5541, 5542, 5543, 5544, 5545, 5546, 5547, 5548, 5549 5550, 5551, 5552, 5553, 5554, 5555, 5556, 5557, 5558 5559, 5560, 5561, 5562, 5563, 5564, 5565, 5566, 5567 5568, 5569, 5570, 5571, 5572, 5573, 5574, 5575, 5576 5577, 5578, 5579, 5580, 5581, 5582, 5583, 5584, 5585 5586, 5587, 5588, 5589, 5590, 5591, 5592, 5593, 5594 5595, 5596, 5597, 5598, 5599, 5600, 5601, 5602, 5603 5604, 5605, 5606, 5607, 5608, 5609, 5610, 5611, 5612 5613, 5614, 5615, 5616, 5617, 5618, 5619, 5620, 5621 5622, 5623, 5624, 5625, 5626, 5627, 5628, 5629, 5630 5631, 5632, 5633, 5634, 5635, 5636, 5637, 5638, 5639 5640, 5641, 5642, 5643, 5644, 5645, 5646, 5647, 5648 5649, 5650, 5651, 5652, 5653, 5654, 5655, 5656, 5657 5658, 5659, 5660, 5661, 5662, 5663, 5664, 5665, 5666 5667, 5668, 5669, 5670, 5671, 5672, 5673, 5674, 5675 5676, 5677, 5678, 5679, 5680, 5681, 5682, 5683, 5684 5685, 5686, 5687, 5688, 5689, 5690, 5691, 5692, 5693 5694, 5695, 5696, 5697, 5698, 5699, 5700, 5701, 5702 5703, 5704, 5705, 5706, 5707, 5708, 5709, 5710, 5711 5712, 5713, 5714, 5715, 5716, 5717, 5718, 5719, 5720 5721, 5722, 5723, 5724, 5725, 5726, 5727, 5728, 5729 5730, 5731, 5732, 5733, 5734, 5735, 5736, 5737, 5738 5739, 5740, 5741, 5742, 5743, 5744, 5745, 5746, 5747 5748, 5749, 5750, 5751, 5752, 5753, 5754, 5755, 5756 5757, 5758, 5759, 5760, 5761, 5762, 5763, 5764, 5765 5766, 5767, 5768, 5769, 5770, 5771, 5772, 5773, 5774 5775, 5776, 5777, 5778, 5779, 5780, 5781, 5782, 5783 5784, 5785, 5786, 5787, 5788, 5789, 5790, 5791, 5792 5793, 5794, 5795, 5796, 5797, 5798, 5799, 5800, 5801 5802, 5803, 5804, 5805, 5806, 5807, 5808, 5809, 5810 5811, 5812, 5813, 5814, 5815, 5816, 5817, 5818, 5819 5820, 5821, 5822, 5823, 5824, 5825, 5826, 5827, 5828 5829, 5830, 5831, 5832, 5833, 5834, 5835, 5836, 5837 5838, 5839, 5840, 5841, 5842, 5843, 5844, 5845, 5846 5847, 5848, 5849, 5850, 5851, 5852, 5853, 5854, 5855 5856, 5857, 5858, 5859, 5860, 5861, 5862, 5863, 5864 5865, 5866, 5867, 5868, 5869, 5870, 5871, 5872, 5873 5874, 5875, 5876, 5877, 5878, 5879, 5880, 5881, 5882 5883, 5884, 5885, 5886, 5887, 5888, 5889, 5890, 5891 5892, 5893, 5894, 5895, 5896, 5897, 5898, 5899, 5900 5901, 5902, 5903, 5904, 5905, 5906, 5907, 5908, 5909 5910, 5911, 5912, 5913, 5914, 5915, 5916, 5917, 5918 5919, 5920, 5921, 5922, 5923, 5924, 5925, 5926, 5927 5928, 5929, 5930, 5931, 5932, 5933, 5934, 5935, 5936 5937, 5938, 5939, 5940, 5941, 5942, 5943, 5944, 5945 5946, 5947, 5948, 5949, 5950, 5951, 5952, 5953, 5954 5955, 5956, 5957, 5958, 5959, 5960, 5961, 5962, 5963 5964, 5965, 5966, 5967, 5968, 5969, 5970, 5971, 5972 5973, 5974, 5975, 5976, 5977, 5978, 5979, 5980, 5981 5982, 5983, 5984, 5985, 5986, 5987, 5988, 5989, 5990 5991, 5992, 5993, 5994, 5995, 5996, 5997, 5998, 5999 6000, 6001, 6002, 6003, 6004, 6005, 6006, 6007, 6008 6009, 6010, 6011, 6012, 6013, 6014, 6015, 6016, 6017 6018, 6019, 6020, 6021, 6022, 6023, 6024, 6025, 6026 6027, 6028, 6029, 6030, 6031, 6032, 6033, 6034, 6035 6036, 6037, 6038, 6039, 6040, 6041, 6042, 6043, 6044 6045, 6046, 6047, 6048, 6049, 6050, 6051, 6052, 6053 6054, 6055, 6056, 6057, 6058, 6059, 6060, 6061, 6062 6063, 6064, 6065, 6066, 6067, 6068, 6069, 6070, 6071 6072, 6073, 6074, 6075, 6076, 6077, 6078, 6079, 6080 6081, 6082, 6083, 6084, 6085, 6086, 6087, 6088, 6089 6090, 6091, 6092, 6093, 6094, 6095, 6096, 6097, 6098 6099, 6100, 6101, 6102, 6103, 6104, 6105, 6106, 6107 6108, 6109, 6110, 6111, 6112, 6113, 6114, 6115, 6116 6117, 6118, 6119, 6120, 6121, 6122, 6123, 6124, 6125 6126, 6127, 6128, 6129, 6130, 6131, 6132, 6133, 6134 6135, 6136, 6137, 6138, 6139, 6140, 6141, 6142, 6143 6144, 6145, 6146, 6147, 6148, 6149, 6150, 6151, 6152 6153, 6154, 6155, 6156, 6157, 6158, 6159, 6160, 6161 6162, 6163, 6164, 6165, 6166, 6167, 6168, 6169, 6170 6171, 6172, 6173, 6174, 6175, 6176, 6177, 6178, 6179 6180, 6181, 6182, 6183, 6184, 6185, 6186, 6187, 6188 6189, 6190, 6191, 6192, 6193, 6194, 6195, 6196, 6197 6198, 6199, 6200, 6201, 6202, 6203, 6204, 6205, 6206 6207, 6208, 6209, 6210, 6211, 6212, 6213, 6214, 6215 6216, 6217, 6218, 6219, 6220, 6221, 6222, 6223, 6224 6225, 6226, 6227, 6228, 6229, 6230, 6231, 6232, 6233 6234, 6235, 6236, 6237, 6238, 6239, 6240, 6241, 6242 6243, 6244, 6245, 6246, 6247, 6248, 6249, 6250, 6251 6252, 6253, 6254, 6255, 6256, 6257, 6258, 6259, 6260 6261, 6262, 6263, 6264, 6265, 6266, 6267, 6268, 6269 6270, 6271, 6272, 6273, 6274, 6275, 6276, 6277, 6278 6279, 6280, 6281, 6282, 6283, 6284, 6285, 6286, 6287 6288, 6289, 6290, 6291, 6292, 6293, 6294, 6295, 6296 6297, 6298, 6299, 6300, 6301, 6302, 6303, 6304, 6305 6306, 6307, 6308, 6309, 6310, 6311, 6312, 6313, 6314 6315, 6316, 6317, 6318, 6319, 6320, 6321, 6322, 6323 6324, 6325, 6326, 6327, 6328, 6329, 6330, 6331, 6332 6333, 6334, 6335, 6336, 6337, 6338, 6339, 6340, 6341 6342, 6343, 6344, 6345, 6346, 6347, 6348, 6349, 6350 6351, 6352, 6353, 6354, 6355, 6356, 6357, 6358, 6359 6360, 6361, 6362, 6363, 6364, 6365, 6366, 6367, 6368 6369, 6370, 6371, 6372, 6373, 6374, 6375, 6376, 6377 6378, 6379, 6380, 6381, 6382, 6383, 6384, 6385, 6386 6387, 6388, 6389, 6390, 6391, 6392, 6393, 6394, 6395 6396, 6397, 6398, 6399, 6400, 6401, 6402, 6403, 6404 6405, 6406, 6407, 6408, 6409, 6410, 6411, 6412, 6413 6414, 6415, 6416, 6417, 6418, 6419, 6420, 6421, 6422 6423, 6424, 6425, 6426, 6427, 6428, 6429, 6430, 6431 6432, 6433, 6434, 6435, 6436, 6437, 6438, 6439, 6440 6441, 6442, 6443, 6444, 6445, 6446, 6447, 6448, 6449 6450, 6451, 6452, 6453, 6454, 6455, 6456, 6457, 6458 6459, 6460, 6461, 6462, 6463, 6464, 6465, 6466, 6467 6468 **Section: Section_Grain-1 *Solid Section, elset=GRAIN-1, material=MATERIAL-GRAIN1 , **Section: Section_Grain-2 *Solid Section, elset=GRAIN-2, material=MATERIAL-GRAIN2 , **Section: Section_Grain-3 *Solid Section, elset=GRAIN-3, material=MATERIAL-GRAIN3 , **Section: Section_Grain-4 *Solid Section, elset=GRAIN-4, material=MATERIAL-GRAIN4 , **Section: Section_Grain-5 *Solid Section, elset=GRAIN-5, material=MATERIAL-GRAIN5 , **Section: Section_Grain-6 *Solid Section, elset=GRAIN-6, material=MATERIAL-GRAIN6 , **Section: Section_Grain-7 *Solid Section, elset=GRAIN-7, material=MATERIAL-GRAIN7 , **Section: Section_Grain-8 *Solid Section, elset=GRAIN-8, material=MATERIAL-GRAIN8 , **Section: Section_Grain-9 *Solid Section, elset=GRAIN-9, material=MATERIAL-GRAIN9 , **Section: Section_Grain-10 *Solid Section, elset=GRAIN-10, material=MATERIAL-GRAIN10 , **Section: Section_Grain-11 *Solid Section, elset=GRAIN-11, material=MATERIAL-GRAIN11 , **Section: Section_Grain-12 *Solid Section, elset=GRAIN-12, material=MATERIAL-GRAIN12 , **Section: Section_Grain-13 *Solid Section, elset=GRAIN-13, material=MATERIAL-GRAIN13 , **Section: Section_Grain-14 *Solid Section, elset=GRAIN-14, material=MATERIAL-GRAIN14 , **Section: Section_Grain-15 *Solid Section, elset=GRAIN-15, material=MATERIAL-GRAIN15 , **Section: Section_Grain-16 *Solid Section, elset=GRAIN-16, material=MATERIAL-GRAIN16 , **Section: Section_Grain-17 *Solid Section, elset=GRAIN-17, material=MATERIAL-GRAIN17 , **Section: Section_Grain-18 *Solid Section, elset=GRAIN-18, material=MATERIAL-GRAIN18 , **Section: Section_Grain-19 *Solid Section, elset=GRAIN-19, material=MATERIAL-GRAIN19 , **Section: Section_Grain-20 *Solid Section, elset=GRAIN-20, material=MATERIAL-GRAIN20 , **Section: Section_Grain-21 *Solid Section, elset=GRAIN-21, material=MATERIAL-GRAIN21 , **Section: Section_Grain-22 *Solid Section, elset=GRAIN-22, material=MATERIAL-GRAIN22 , **Section: Section_Grain-23 *Solid Section, elset=GRAIN-23, material=MATERIAL-GRAIN23 , **Section: Section_Grain-24 *Solid Section, elset=GRAIN-24, material=MATERIAL-GRAIN24 , **Section: Section_Grain-25 *Solid Section, elset=GRAIN-25, material=MATERIAL-GRAIN25 , **Section: Section_Grain-26 *Solid Section, elset=GRAIN-26, material=MATERIAL-GRAIN26 , **Section: Section_Grain-27 *Solid Section, elset=GRAIN-27, material=MATERIAL-GRAIN27 , **Section: Section_Grain-28 *Solid Section, elset=GRAIN-28, material=MATERIAL-GRAIN28 , **Section: Section_Grain-29 *Solid Section, elset=GRAIN-29, material=MATERIAL-GRAIN29 , **Section: Section_Grain-30 *Solid Section, elset=GRAIN-30, material=MATERIAL-GRAIN30 , *End Part ** **ASSEMBLY ** *Assembly, name=Assembly ** *Instance, name=NEPER-1, part=NEPER *NODE 1, 0.000000e+00, 1.000000e+00, 0.000000e+00 2, 0.000000e+00, 1.000000e+00, 4.386705e-01 3, 4.221610e-01, 1.000000e+00, 4.807216e-01 4, 5.268863e-01, 1.000000e+00, 3.942699e-01 5, 5.638708e-01, 8.130270e-01, 3.933024e-01 6, 5.519767e-01, 5.750683e-01, 3.573443e-01 7, 4.464926e-01, 7.426254e-01, 5.013309e-01 8, 5.278840e-01, 5.905412e-01, 4.013663e-01 9, 5.247122e-01, 7.282543e-01, 4.390321e-01 10, 0.000000e+00, 4.230034e-01, 0.000000e+00 11, 4.777264e-01, 4.480484e-01, 2.819534e-01 12, 5.184787e-01, 4.877615e-01, 0.000000e+00 13, 3.949373e-01, 6.087350e-01, 5.056559e-01 14, 4.255564e-01, 5.580808e-01, 4.697305e-01 15, 0.000000e+00, 3.892096e-01, 2.752002e-01 16, 0.000000e+00, 5.276046e-01, 4.720491e-01 17, 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2800,811,426,818,389 2801,817,174,6,409 2802,812,807,808,376 2803,811,379,380,813 2804,811,384,380,379 2805,386,806,398,803 2806,378,410,813,379 2807,801,810,809,814 2808,363,368,802,369 2809,822,18,414,14 2810,810,374,376,380 2811,404,367,155,403 2812,382,2,370,400 2813,824,6,173,409 2814,367,823,363,804 2815,816,801,814,823 2816,824,11,409,173 2817,412,176,813,413 2818,377,405,808,406 2819,806,363,802,369 2820,817,9,412,809 2821,3,4,413,375 2822,810,380,376,375 2823,388,390,385,818 2824,812,801,808,807 2825,423,181,820,418 2826,372,152,369,394 2827,813,24,424,425 2828,811,427,379,425 2829,427,379,425,160 2830,24,813,177,425 2831,394,806,398,386 2832,393,368,150,151 2833,157,382,400,2 2834,821,404,171,402 2835,412,813,808,413 2836,810,812,376,374 2837,175,426,818,424 2838,179,822,173,414 2839,170,412,808,413 2840,383,427,396,21 2841,384,811,391,396 2842,801,816,814,809 2843,801,816,809,807 2844,371,805,395,373 2845,396,427,167,21 2846,386,819,804,803 2847,819,393,386,804 2848,367,400,155,403 2849,417,165,398,392 2850,821,822,809,401 2851,813,810,808,375 2852,810,813,809,814 2853,393,399,386,802 2854,388,818,385,392 2855,165,417,398,419 2856,399,394,386,802 2857,803,417,398,392 2858,404,821,825,365 2859,821,367,363,365 2860,419,417,398,803 2861,23,175,408,424 2862,823,824,814,809 2863,20,379,425,177 2864,180,422,825,154 2865,23,817,424,818 2866,823,821,824,809 2867,818,824,803,392 2868,816,823,814,809 2869,373,371,1,395 2870,421,394,806,166 2871,816,821,823,809 2872,163,373,1,395 2873,806,416,419,820 2874,802,806,820,825 2875,806,802,820,803 2876,811,384,815,380 2877,810,812,808,376 2878,23,24,424,817 2879,159,378,176,4 2880,422,180,825,820 2881,180,422,181,820 2882,822,19,418,414 2883,418,824,414,11 2884,400,367,156,370 2885,400,2,370,156 2886,382,400,370,807 2887,368,363,802,804 2888,176,378,413,4 2889,400,367,155,156 2890,824,822,414,173 2891,2,382,370,148 2892,817,818,815,813 2893,426,811,424,425 2894,821,823,824,820 2895,377,158,405,406 2896,374,162,815,387 2897,406,170,401,808 2898,406,413,808,375 2899,172,824,409,408 2900,822,821,402,401 2901,817,174,178,6 2902,172,417,11,409 2903,422,821,171,423 2904,404,821,171,422 2905,417,824,11,409 2906,824,417,172,409 2907,810,813,380,375 2908,374,805,387,815 2909,810,801,812,814 2910,805,163,373,374 2911,396,383,21,161 2912,813,412,808,809 2913,393,819,386,397 2914,805,373,812,374 2915,397,386,392,803 2916,818,819,815,397 2917,417,388,392,824 2918,374,810,815,380 2919,166,394,419,398 2920,388,164,417,392 2921,823,363,804,802 2922,371,373,1,149 2923,805,819,387,815 2924,422,154,365,825 2925,816,401,809,807 2926,806,416,825,420 2927,819,818,815,814 2928,373,805,381,364 2929,388,818,824,172 2930,806,416,420,419 2931,805,393,387,819 2932,175,168,22,390 2933,179,822,414,14 2934,822,19,423,418 2935,388,12,407,172 2936,174,23,408,817 2937,406,377,375,808 2938,382,807,370,381 2939,405,816,807,401 2940,802,386,804,803 2941,824,818,408,172 2942,813,810,809,808 2943,817,818,408,824 2944,824,11,173,414 2945,377,157,807,405 2946,405,816,400,807 2947,821,823,820,825 2948,823,821,363,365 2949,366,15,420,825 2950,404,422,365,825 2951,821,404,825,422 2952,418,19,11,414 2953,410,378,813,176 2954,3,170,406,413 2955,18,822,414,19 2956,405,406,401,808 2957,379,410,813,177 2958,427,383,811,379 2959,819,386,397,803 2960,162,391,815,387 2961,415,817,809,9 2962,417,164,165,392 2963,806,394,398,419 2964,153,366,420,806 2965,372,152,394,10 2966,372,421,153,10 2967,412,817,813,5 2968,176,412,813,5 2969,812,805,804,364 2970,817,411,5,9 2971,368,805,364,804 2972,181,416,820,418 2973,818,388,824,392 2974,811,813,424,425 2975,426,427,811,425 2976,158,377,375,406 2977,385,397,392,803 2978,386,803,398,392 2979,399,152,369,151 2980,379,811,425,813 2981,819,823,804,803 2982,822,821,820,423 2983,165,166,419,398 2984,175,818,408,424 2985,175,390,407,818 2986,405,401,807,808 2987,405,377,808,807 2988,822,821,824,820 2989,411,24,817,5 2990,817,24,813,5 2991,421,806,420,419 2992,410,20,177,379 2993,810,813,815,380 2994,415,822,809,817 2995,823,819,814,803 2996,810,801,808,812 2997,806,416,820,825 2998,822,18,423,19 2999,13,822,402,401 3000,821,816,367,403 3001,13,822,17,402 3002,423,171,17,402 3003,816,367,807,812 3004,367,816,807,400 3005,824,823,814,803 3006,371,805,364,368 3007,157,405,400,807 3008,382,157,400,807 3009,818,819,803,814 3010,419,417,803,820 3011,824,818,803,814 3012,802,823,820,803 3013,170,401,808,809 3014,412,170,808,809 3015,813,378,380,375 3016,154,180,15,825 3017,366,154,15,825 3018,393,802,386,804 3019,418,822,824,820 3020,416,180,825,420 3021,812,816,804,819 3022,368,399,369,151 3023,404,367,365,155 3024,393,805,387,395 3025,371,805,150,395 3026,395,371,1,150 3027,805,393,150,395 3028,366,363,365,825 3029,818,811,391,815 3030,426,427,396,811 3031,363,823,825,802 3032,821,823,825,365 3033,822,179,173,8 3034,806,363,825,802 3035,817,174,409,408 3036,806,366,825,363 3037,824,417,820,803 3038,821,404,367,365 3039,417,418,824,820 3040,416,417,419,820 3041,391,385,815,397 3042,824,817,409,408 3043,393,819,397,387 3044,154,422,365,16 3045,384,391,162,161 3046,389,818,391,385 3047,801,816,819,823 3048,423,402,822,821 3049,822,402,423,17 3050,415,809,401,7 3051,401,809,415,822 3052,401,13,415,7 3053,415,13,401,822 3054,173,8,824,822 3055,173,824,8,6 3056,376,807,381,812 3057,376,381,807,377 3058,6,178,824,8 3059,6,824,178,817 3060,822,824,178,8 3061,822,178,824,817 3062,397,818,803,385 3063,397,803,818,819 3064,371,373,364,805 3065,364,373,371,149 3066,393,802,368,399 3067,368,802,393,804 3068,442,827,438,441 3069,440,827,438,828 3070,826,171,422,437 3071,447,826,444,451 3072,436,827,429,434 3073,435,450,188,433 3074,826,431,422,452 3075,28,193,447,198 3076,186,432,445,33 3077,422,180,181,452 3078,439,193,30,448 3079,453,454,448,828 3080,826,422,181,452 3081,439,443,448,828 3082,31,439,30,448 3083,447,197,26,29 3084,193,31,30,448 3085,192,32,456,441 3086,25,37,18,423 3087,444,447,448,828 3088,826,171,423,422 3089,431,826,428,433 3090,187,433,188,449 3091,436,827,440,429 3092,183,436,440,429 3093,182,435,429,440 3094,184,827,455,456 3095,171,16,422,437 3096,447,453,448,828 3097,826,446,195,34 3098,447,193,444,448 3099,442,439,443,191 3100,442,35,443,194 3101,826,446,445,195 3102,455,184,185,434 3103,430,36,445,196 3104,32,436,456,441 3105,827,436,440,441 3106,443,194,444,827 3107,435,450,433,828 3108,193,439,443,448 3109,446,171,196,37 3110,431,826,437,430 3111,826,431,428,430 3112,433,450,188,449 3113,442,192,456,441 3114,197,447,26,451 3115,827,442,456,441 3116,180,431,422,154 3117,450,435,27,189 3118,429,827,828,434 3119,35,442,443,191 3120,435,450,27,188 3121,19,197,18,423 3122,448,454,438,828 3123,186,432,430,445 3124,827,194,455,456 3125,443,439,827,828 3126,446,826,445,196 3127,32,183,436,441 3128,447,29,26,444 3129,439,190,438,448 3130,436,827,434,184 3131,197,19,451,423 3132,432,826,455,434 3133,431,180,452,15 3134,451,826,181,452 3135,431,187,452,449 3136,428,826,432,434 3137,190,454,438,448 3138,826,453,828,449 3139,826,453,449,451 3140,186,36,445,430 3141,826,430,445,196 3142,193,447,444,29 3143,432,826,445,195 3144,182,183,440,429 3145,440,828,438,189 3146,439,448,438,828 3147,826,451,449,452 3148,826,453,451,447 3149,431,826,433,449 3150,453,450,828,449 3151,453,450,454,828 3152,25,446,37,423 3153,37,17,18,423 3154,435,182,27,189 3155,187,431,433,449 3156,827,194,34,455 3157,446,826,444,34 3158,25,446,444,34 3159,16,422,437,154 3160,436,183,440,441 3161,826,422,423,181 3162,443,444,448,828 3163,450,435,189,440 3164,194,442,827,443 3165,454,190,438,189 3166,827,436,456,184 3167,435,182,189,440 3168,826,827,34,455 3169,827,826,34,444 3170,35,442,192,456 3171,436,32,456,184 3172,432,455,185,434 3173,826,428,433,828 3174,826,25,444,26 3175,17,171,423,37 3176,826,451,181,423 3177,187,431,452,15 3178,194,442,456,827 3179,431,180,15,154 3180,826,432,455,195 3181,193,439,30,443 3182,826,451,423,26 3183,25,26,423,18 3184,436,827,456,441 3185,439,442,827,438 3186,28,197,447,29 3187,826,827,828,444 3188,443,827,444,828 3189,450,454,828,189 3190,826,827,455,434 3191,195,826,34,455 3192,439,442,443,827 3193,450,433,828,449 3194,451,447,26,444 3195,826,446,25,423 3196,193,28,447,29 3197,432,826,430,445 3198,433,826,828,449 3199,431,826,422,437 3200,451,19,181,423 3201,826,446,171,196 3202,36,16,196,437 3203,826,431,452,449 3204,827,440,438,441 3205,16,171,196,437 3206,440,450,828,189 3207,439,827,828,438 3208,428,429,828,434 3209,826,428,432,430 3210,446,826,25,444 3211,193,443,444,448 3212,184,827,434,455 3213,194,827,34,444 3214,827,826,828,434 3215,826,428,828,434 3216,31,190,439,448 3217,193,198,448,447 3218,31,193,198,448 3219,429,435,433,828 3220,25,826,423,26 3221,431,180,422,452 3222,35,442,456,194 3223,195,432,455,185 3224,33,432,195,185 3225,428,429,433,828 3226,827,429,828,440 3227,451,826,444,26 3228,828,454,438,189 3229,33,432,445,195 3230,439,443,191,30 3231,429,435,828,440 3232,437,36,430,196 3233,435,450,828,440 3234,422,431,437,154 3235,423,446,171,826 3236,423,171,446,37 3237,447,828,826,453 3238,826,828,447,444 3239,437,196,826,171 3240,826,196,437,430 3241,423,197,26,451 3242,423,26,197,18 3243,47,43,48,474 3244,462,475,473,210 3245,464,43,44,472 3246,473,475,472,51 3247,475,462,204,50 3248,475,474,472,51 3249,460,199,829,465 3250,475,462,458,461 3251,829,39,206,466 3252,203,460,465,38 3253,475,473,210,51 3254,469,457,463,829 3255,467,464,40,206 3256,829,469,457,459 3257,469,201,457,459 3258,205,45,209,458 3259,460,203,468,461 3260,469,458,829,470 3261,473,475,458,470 3262,465,199,829,466 3263,49,203,461,468 3264,471,45,202,458 3265,203,460,468,465 3266,469,201,459,42 3267,462,205,50,473 3268,464,474,472,470 3269,829,460,468,461 3270,462,475,210,50 3271,45,471,209,458 3272,41,39,463,457 3273,207,469,463,470 3274,473,205,209,458 3275,473,46,472,470 3276,462,475,458,473 3277,829,464,463,470 3278,464,467,829,466 3279,460,199,465,38 3280,472,46,44,470 3281,464,43,472,474 3282,201,459,200,457 3283,460,829,200,459 3284,199,39,829,466 3285,471,458,469,470 3286,43,47,472,474 3287,467,464,206,466 3288,202,469,459,42 3289,469,463,457,41 3290,471,469,459,202 3291,467,208,48,474 3292,469,207,463,41 3293,465,460,468,829 3294,458,471,459,202 3295,471,458,459,469 3296,467,465,829,466 3297,829,206,464,466 3298,48,43,40,474 3299,473,475,470,472 3300,458,829,470,461 3301,199,39,457,829 3302,46,473,209,470 3303,462,205,473,458 3304,463,44,207,470 3305,467,829,468,461 3306,467,465,468,829 3307,472,464,470,44 3308,464,467,474,470 3309,469,829,463,470 3310,469,201,41,457 3311,464,467,470,829 3312,829,199,200,457 3313,458,475,461,470 3314,474,47,472,51 3315,463,44,470,464 3316,460,199,200,829 3317,458,460,829,461 3318,39,829,463,457 3319,475,462,461,204 3320,39,829,206,463 3321,829,464,206,463 3322,201,459,42,200 3323,462,473,50,210 3324,467,48,40,474 3325,464,467,40,474 3326,474,475,472,470 3327,459,829,200,457 3328,829,467,470,461 3329,46,473,472,51 3330,460,199,38,200 3331,43,464,40,474 3332,458,209,470,471 3333,458,470,209,473 3334,459,829,458,460 3335,459,458,829,469 3336,467,468,475,461 3337,467,470,475,474 3338,475,470,467,461 3339,49,468,204,208 3340,49,204,468,461 3341,475,204,468,208 3342,475,468,204,461 3343,475,467,208,468 3344,208,467,475,474 3345,479,53,412,477 3346,413,216,483,482 3347,476,477,52,480 3348,58,479,214,483 3349,476,211,56,482 3350,479,480,483,215 3351,412,170,478,483 3352,412,477,176,413 3353,482,476,481,483 3354,412,7,57,170 3355,412,53,5,477 3356,476,480,481,483 3357,412,9,5,478 3358,479,53,478,412 3359,53,412,5,478 3360,7,412,57,478 3361,170,412,413,483 3362,413,216,170,483 3363,479,58,478,54 3364,477,479,213,480 3365,479,477,483,480 3366,477,412,176,5 3367,9,53,5,478 3368,212,476,52,480 3369,9,53,478,54 3370,53,479,213,477 3371,212,476,480,481 3372,212,215,55,481 3373,58,479,478,214 3374,477,476,413,483 3375,476,211,482,481 3376,214,483,478,57 3377,482,476,3,56 3378,480,215,481,483 3379,476,482,3,413 3380,412,479,483,478 3381,477,4,176,413 3382,479,214,483,478 3383,412,477,413,483 3384,483,170,478,57 3385,4,476,3,413 3386,413,216,482,3 3387,476,4,52,477 3388,170,483,216,57 3389,56,482,216,3 3390,413,216,3,170 3391,55,476,481,211 3392,483,413,482,476 3393,170,412,478,57 3394,4,476,413,477 3395,412,7,9,478 3396,479,58,215,483 3397,477,476,483,480 3398,53,479,478,54 3399,212,480,215,481 3400,412,479,477,483 3401,55,476,212,481 3402,480,477,52,213 3403,60,218,217,219 3404,484,53,9,54 3405,8,221,178,484 3406,59,486,485,219 3407,411,24,64,488 3408,486,218,484,485 3409,62,218,485,484 3410,411,64,5,53 3411,487,62,485,484 3412,6,221,178,8 3413,487,488,485,65 3414,411,484,9,178 3415,174,221,487,484 3416,221,174,178,484 3417,221,6,178,174 3418,66,486,488,65 3419,484,486,54,217 3420,62,63,487,485 3421,411,23,24,488 3422,23,411,220,488 3423,218,486,484,217 3424,486,218,485,219 3425,64,411,488,53 3426,411,174,487,484 3427,486,64,488,53 3428,221,62,487,484 3429,411,486,488,53 3430,61,487,485,65 3431,487,63,61,485 3432,488,487,220,65 3433,221,62,484,8 3434,62,221,487,63 3435,411,53,5,9 3436,59,61,485,65 3437,484,411,9,53 3438,411,174,220,487 3439,218,486,217,219 3440,174,411,178,484 3441,486,484,54,53 3442,411,24,5,64 3443,411,23,220,174 3444,486,66,488,64 3445,486,411,484,53 3446,411,487,220,488 3447,486,66,59,65 3448,65,486,485,59 3449,65,485,486,488 3450,485,488,484,486 3451,485,484,488,487 3452,411,484,488,486 3453,411,488,484,487 3454,484,8,62,489 3455,218,484,62,489 3456,484,478,491,54 3457,179,8,178,489 3458,68,218,62,489 3459,72,57,492,7 3460,72,69,13,489 3461,415,179,178,489 3462,478,54,58,491 3463,74,490,492,67 3464,415,72,7,13 3465,490,72,71,492 3466,492,222,491,73 3467,217,484,491,54 3468,415,14,179,489 3469,478,58,214,491 3470,218,70,217,222 3471,57,492,478,214 3472,492,484,478,491 3473,72,490,71,69 3474,9,415,478,7 3475,218,70,222,67 3476,415,9,484,178 3477,74,492,222,67 3478,492,478,214,491 3479,492,218,222,67 3480,73,492,58,491 3481,484,490,492,489 3482,74,490,71,492 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3629,504,514,231,515 3630,504,508,505,831 3631,503,505,511,506 3632,513,503,511,506 3633,194,456,499,830 3634,33,226,493,510 3635,502,498,830,501 3636,509,503,234,507 3637,498,456,32,184 3638,227,515,76,500 3639,35,499,230,512 3640,830,506,504,514 3641,504,506,830,831 3642,507,496,511,505 3643,507,496,493,511 3644,493,496,507,495 3645,493,510,507,511 3646,507,510,493,495 3647,511,455,493,195 3648,511,493,455,830 3649,522,93,92,91 3650,516,63,523,221 3651,525,240,69,518 3652,238,516,63,523 3653,527,92,11,523 3654,516,520,523,517 3655,173,489,179,414 3656,520,245,523,517 3657,524,85,240,518 3658,489,173,179,8 3659,237,516,517,520 3660,526,87,239,517 3661,237,87,526,517 3662,238,245,89,517 3663,243,519,518,524 3664,63,516,62,221 3665,489,68,69,525 3666,489,14,414,518 3667,19,18,197,518 3668,516,238,517,523 3669,489,14,179,414 3670,522,244,521,527 3671,414,19,197,518 3672,246,526,239,517 3673,527,244,521,28 3674,62,489,8,221 3675,520,522,245,91 3676,522,244,527,93 3677,522,92,245,91 3678,527,525,519,523 3679,173,489,414,523 3680,173,489,523,221 3681,173,414,11,523 3682,88,526,241,520 3683,489,173,8,221 3684,526,237,517,520 3685,526,520,517,245 3686,520,527,519,523 3687,242,520,519,525 3688,489,414,523,525 3689,68,516,525,489 3690,414,527,518,197 3691,522,527,519,520 3692,86,243,524,519 3693,520,516,523,525 3694,527,414,518,525 3695,414,527,11,523 3696,87,237,526,520 3697,521,29,197,28 3698,516,489,523,525 3699,489,525,69,518 3700,527,521,197,28 3701,18,197,518,26 3702,90,246,517,245 3703,18,19,414,518 3704,489,414,525,518 3705,238,245,517,523 3706,519,525,518,524 3707,414,527,523,525 3708,516,68,525,237 3709,526,246,245,517 3710,88,237,520,242 3711,522,527,92,93 3712,87,88,237,520 3713,246,90,517,239 3714,527,525,518,519 3715,243,521,518,519 3716,516,68,62,489 3717,18,14,518,414 3718,237,516,520,525 3719,242,237,520,525 3720,527,521,518,197 3721,88,87,526,520 3722,527,19,197,414 3723,521,527,518,519 3724,221,173,8,6 3725,520,526,241,91 3726,197,521,518,26 3727,14,489,69,518 3728,524,525,518,240 3729,521,243,518,26 3730,29,521,197,26 3731,19,527,11,414 3732,86,242,519,524 3733,242,525,519,524 3734,245,90,89,517 3735,243,86,524,85 3736,243,521,29,26 3737,527,522,519,521 3738,525,520,519,523 3739,526,245,91,520 3740,91,245,526,246 3741,243,518,85,524 3742,85,518,243,26 3743,516,221,489,62 3744,489,221,516,523 3745,520,527,245,522 3746,520,245,527,523 3747,92,245,527,522 3748,92,527,245,523 3749,832,244,522,544 3750,832,532,253,530 3751,539,252,519,536 3752,534,256,100,528 3753,832,531,535,529 3754,256,832,542,540 3755,832,256,522,540 3756,521,193,537,29 3757,198,832,28,193 3758,31,193,30,535 3759,531,832,535,530 3760,93,832,522,544 3761,537,521,29,536 3762,832,534,528,256 3763,522,832,519,521 3764,530,832,535,538 3765,542,832,98,539 3766,832,521,537,536 3767,543,529,101,528 3768,256,534,100,541 3769,832,193,538,537 3770,832,539,519,536 3771,521,243,536,519 3772,258,832,544,529 3773,521,243,29,536 3774,198,544,535,250 3775,96,533,248,255 3776,531,832,528,529 3777,533,96,541,255 3778,534,832,533,541 3779,258,529,250,101 3780,530,832,538,253 3781,832,257,253,532 3782,94,832,539,98 3783,256,91,522,540 3784,832,256,528,543 3785,534,247,100,541 3786,534,832,528,531 3787,95,97,532,253 3788,93,832,544,258 3789,93,832,258,256 3790,533,257,248,255 3791,540,91,522,520 3792,93,832,256,522 3793,258,832,529,543 3794,254,542,539,540 3795,540,254,88,520 3796,258,544,250,529 3797,832,257,532,533 3798,544,529,535,250 3799,198,832,193,535 3800,521,832,519,536 3801,258,832,543,256 3802,533,257,532,248 3803,242,252,519,539 3804,94,832,537,539 3805,532,95,253,530 3806,532,832,531,530 3807,254,242,88,520 3808,832,543,528,529 3809,254,540,539,520 3810,241,540,88,520 3811,538,30,535,249 3812,544,832,535,529 3813,95,530,538,253 3814,832,193,535,538 3815,258,543,529,101 3816,193,198,535,31 3817,533,832,531,532 3818,534,832,531,533 3819,832,244,521,522 3820,530,538,535,249 3821,832,257,533,255 3822,257,97,532,248 3823,243,86,536,519 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3921,559,556,217,486 3922,219,556,486,217 3923,551,547,563,108 3924,559,555,556,486 3925,549,559,486,564 3926,66,555,486,59 3927,266,66,486,564 3928,106,548,560,260 3929,555,266,486,564 3930,555,266,564,546 3931,562,551,549,564 3932,58,491,559,112 3933,213,479,549,480 3934,268,479,215,552 3935,555,66,486,266 3936,559,491,217,553 3937,546,545,561,260 3938,552,212,549,480 3939,564,559,546,550 3940,266,564,546,109 3941,549,559,564,550 3942,213,549,52,480 3943,479,552,549,480 3944,562,551,110,549 3945,548,555,560,546 3946,558,479,552,549 3947,262,545,105,550 3948,555,103,104,557 3949,559,479,486,54 3950,104,560,548,555 3951,559,107,557,560 3952,549,110,554,52 3953,219,556,217,60 3954,264,558,552,550 3955,559,556,555,557 3956,552,268,111,215 3957,551,545,550,546 3958,491,222,217,553 3959,547,261,563,108 3960,549,562,564,554 3961,104,560,555,557 3962,562,551,563,263 3963,559,556,557,553 3964,553,491,73,112 3965,559,555,560,557 3966,551,549,564,550 3967,107,559,553,112 3968,103,555,59,556 3969,212,552,215,480 3970,546,545,550,561 3971,213,549,554,52 3972,552,479,215,480 3973,262,551,545,550 3974,559,546,550,561 3975,545,259,105,550 3976,558,559,550,561 3977,559,491,553,112 3978,268,558,479,552 3979,268,58,559,112 3980,54,559,58,491 3981,54,58,559,479 3982,560,546,260,548 3983,260,546,560,561 3984,562,554,110,265 3985,110,554,562,549 3986,213,53,549,479 3987,213,549,53,554 3988,486,549,53,479 3989,546,555,109,548 3990,546,109,555,266 3991,217,70,553,222 3992,217,553,70,556 3993,217,559,54,491 3994,217,54,559,486 3995,554,564,64,562 3996,561,550,259,545 3997,561,259,550,558 3998,64,53,564,554 3999,64,564,53,486 4000,549,564,53,554 4001,549,53,564,486 4002,834,840,64,488 4003,833,573,568,587 4004,834,424,835,488 4005,266,66,564,840 4006,573,113,269,568 4007,276,573,584,587 4008,269,576,572,270 4009,833,573,587,837 4010,590,65,839,592 4011,177,574,425,575 4012,587,584,579,837 4013,266,590,840,567 4014,582,168,426,581 4015,577,277,838,575 4016,833,836,839,835 4017,839,836,585,835 4018,576,573,269,568 4019,582,593,175,22 4020,833,573,837,576 4021,425,427,160,575 4022,584,277,838,577 4023,261,109,564,567 4024,585,584,581,837 4025,833,836,835,837 4026,580,839,281,586 4027,833,576,834,578 4028,116,590,566,839 4029,563,263,108,270 4030,833,565,836,568 4031,587,833,836,568 4032,562,840,564,64 4033,576,574,834,578 4034,834,833,835,837 4035,263,563,840,578 4036,574,576,834,577 4037,562,263,563,840 4038,839,571,566,594 4039,427,167,588,426 4040,565,836,570,839 4041,590,65,488,839 4042,840,66,64,488 4043,574,834,265,589 4044,574,834,425,575 4045,276,113,573,587 4046,839,582,593,835 4047,565,836,568,570 4048,177,834,24,425 4049,585,582,835,581 4050,834,574,577,575 4051,425,177,575,20 4052,23,424,592,175 4053,110,574,578,265 4054,579,836,583,570 4055,576,573,837,577 4056,573,113,568,587 4057,424,834,838,425 4058,277,838,427,588 4059,573,584,587,837 4060,562,110,578,265 4061,584,577,838,837 4062,577,834,838,837 4063,66,840,64,564 4064,584,588,581,838 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6466,18,782,37,518 6467,789,755,308,596 6468,789,308,755,643 *End Instance ** *End Assembly **MATERIALS ** *Material, name=MATERIAL-GRAIN1 *Depvar 12, *User Material, constants=6 108.825664965425,114.8204719716,-200.618088948319,1,2,0 *Material, name=MATERIAL-GRAIN2 *Depvar 12, *User Material, constants=6 -80.505367812744,82.07415835438,17.342189738989,2,2,0 *Material, name=MATERIAL-GRAIN3 *Depvar 12, *User Material, constants=6 149.666485060018,80.490793125143,-78.76341715896,3,2,0 *Material, name=MATERIAL-GRAIN4 *Depvar 12, *User Material, constants=6 28.103593869267,108.188049525117,-63.61463272824,4,2,0 *Material, name=MATERIAL-GRAIN5 *Depvar 12, *User Material, constants=6 98.386281169428,154.399284552252,-108.609685135983,5,2,0 *Material, name=MATERIAL-GRAIN6 *Depvar 12, *User Material, constants=6 -127.728653159499,66.694940492113,121.343790041438,6,2,0 *Material, name=MATERIAL-GRAIN7 *Depvar 12, *User Material, constants=6 -42.829875342683,109.586938490021,215.743007672898,7,2,0 *Material, name=MATERIAL-GRAIN8 *Depvar 12, *User Material, constants=6 53.381759065614,109.734956487707,34.822231697368,8,2,0 *Material, name=MATERIAL-GRAIN9 *Depvar 12, *User Material, constants=6 114.11338985323,161.098039982213,-235.163523902386,9,2,0 *Material, name=MATERIAL-GRAIN10 *Depvar 12, *User Material, constants=6 23.538811717486,53.801332165171,-0.916204076247,10,2,0 *Material, name=MATERIAL-GRAIN11 *Depvar 12, *User Material, constants=6 84.298985473483,47.488808792481,-73.277392141887,11,2,0 *Material, name=MATERIAL-GRAIN12 *Depvar 12, *User Material, constants=6 -192.017149057955,124.055171663159,93.434905084249,12,2,0 *Material, name=MATERIAL-GRAIN13 *Depvar 12, *User Material, constants=6 197.066134617088,72.051336125742,-131.370789620155,13,2,0 *Material, name=MATERIAL-GRAIN14 *Depvar 12, *User Material, constants=6 136.012951354516,60.227157155762,-133.36264289239,14,2,0 *Material, name=MATERIAL-GRAIN15 *Depvar 12, *User Material, constants=6 -66.368318801933,77.015756771372,226.312338757127,15,2,0 *Material, name=MATERIAL-GRAIN16 *Depvar 12, *User Material, constants=6 -191.94051896777,50.796702171757,101.517830853935,16,2,0 *Material, name=MATERIAL-GRAIN17 *Depvar 12, *User Material, constants=6 75.153380401544,93.170797309156,29.227274921214,17,2,0 *Material, name=MATERIAL-GRAIN18 *Depvar 12, *User Material, constants=6 -87.958184371423,171.41717267159,256.945025063894,18,2,0 *Material, name=MATERIAL-GRAIN19 *Depvar 12, *User Material, constants=6 122.553013957309,125.523877993174,-178.193534462708,19,2,0 *Material, name=MATERIAL-GRAIN20 *Depvar 12, *User Material, constants=6 -109.3601233701,154.39365560155,175.311898871809,20,2,0 *Material, name=MATERIAL-GRAIN21 *Depvar 12, *User Material, constants=6 108.361642846414,174.633000297541,-180.456141300315,21,2,0 *Material, name=MATERIAL-GRAIN22 *Depvar 12, *User Material, constants=6 85.654904574316,113.848541941196,63.692366833359,22,2,0 *Material, name=MATERIAL-GRAIN23 *Depvar 12, *User Material, constants=6 51.086981568325,176.27114563009,65.319886933039,23,2,0 *Material, name=MATERIAL-GRAIN24 *Depvar 12, *User Material, constants=6 -15.112847574638,97.96926686476,-13.71625185495,24,2,0 *Material, name=MATERIAL-GRAIN25 *Depvar 12, *User Material, constants=6 -159.68425757001,78.866493657304,4.407036690384,25,2,0 *Material, name=MATERIAL-GRAIN26 *Depvar 12, *User Material, constants=6 7.019593276894,84.946509840618,142.052426540842,26,2,0 *Material, name=MATERIAL-GRAIN27 *Depvar 12, *User Material, constants=6 160.038060491016,142.675584772224,-45.485315354824,27,2,0 *Material, name=MATERIAL-GRAIN28 *Depvar 12, *User Material, constants=6 59.994530707472,131.491225651469,51.137505199678,28,2,0 *Material, name=MATERIAL-GRAIN29 *Depvar 12, *User Material, constants=6 216.40377207038,111.028012174383,-114.851920779452,29,2,0 *Material, name=MATERIAL-GRAIN30 *Depvar 12, *User Material, constants=6 -108.907848896538,65.498221245978,106.73513195384,30,2,0 ** ** ** STEP: Loading ** *Step, name=Loading, nlgeom=YES, inc=10000 *Static 0.01, 10., 1e-05, 1. ** ** OUTPUT REQUESTS ** *Restart, write, frequency=0 ** ** FIELD OUTPUT: F-Output-1 ** *Output, field, variable=PRESELECT ** ** FIELD OUTPUT: F-Output-2 ** *Element Output, directions=YES SDV, ** ** HISTORY OUTPUT: H-Output-1 ** *Output, history, variable=PRESELECT ** *End Step ================================================ FILE: Neper2Abaqus/Step-2b Python/abq_tet.msh ================================================ $MeshFormat 2.2 0 8 $EndMeshFormat $MeshVersion 2.2.2 $EndMeshVersion $Domain cube $EndDomain $Nodes 883 1 0.000000000000 1.000000000000 0.000000000000 2 0.000000000000 1.000000000000 0.438670470802 3 0.422160967663 1.000000000000 0.480721585734 4 0.526886281168 1.000000000000 0.394269887348 5 0.563870771436 0.813026978649 0.393302406672 6 0.551976717225 0.575068334439 0.357344338318 7 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OXFORD-UMAT - Crystal Plasticity Solver ! December 18th, 2025 - Release v3.3 ! November 1st, 2022 - 1st working version ! ! Crystal Plasticity UMAT ! University of Oxford ! Eralp Demir ! ! Sponsored by Design-by-Fundamentals (DbF) project under STEP program of UKAEA ! ! Originally based on the UEL by Fionn Dunne 2007 ! Deformation twinning is not included ! ! Major changes: ! - Initialization routines for computational efficiency ! - Reverse slip formulation by C. Hardie ! - Option for implicit state update ! - Multiple materials with different phases can co-exist in a mesh ! - Modular code for flexible constitutive model development ! - GND calculations: ! o Restricted solution to the active slip systems ! o Option for element center homogenization ! o Different 2D/3D element types for GND calculation ! - 2D plane stress/strain problems ! - Lp correction ! - Jaumann rate correction ! include "userinputs.f" include "globalvariables.f" include "irradiation.f" include "errors.f" include "utilities.f" include "meshprop.f" include "usermaterials.f" include "miscellaneous.f" include "useroutputs.f" include "crss.f" include "initializations.f" include "slip.f" include "slipreverse.f" include "creep.f" include "innerloop.f" include "hardening.f" include "backstress.f" include "cpsolver.f" include "straingradients.f" include "UEXTERNALDB.f" ! ! ! ! ! ! SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD, 1 RPL,DDSDDT,DRPLDE,DRPLDT, 2 STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME, 3 NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT, 4 CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,JSTEP,KINC) ! use userinputs, only: cutback, pastefront use globalvariables, only: numel, numpt, numtens, + largenum, ip_init, init_once, ip_count use initializations, only: initialize_atfirstinc use cpsolver, only: solve implicit none ! ! INTEGER, INTENT(IN) :: + NDI, ! Number of direct stress components at this point + NSHR, ! Number of engineering shear stress components + NTENS, ! Size of the stress / strain components (NDI + NSHR) + NSTATV, ! Number of solution-dependent state variables + NPROPS, ! User-defined number of material constants + NOEL, ! Element number + NPT, ! Integration point number + LAYER, ! Layer number (shell elements etc.) + KSPT, ! Section point within the current layer + KINC ! Increment number (time increment) INTEGER, DIMENSION(4), INTENT(IN) :: + JSTEP ! Step number (load step) CHARACTER(LEN=80), INTENT(IN) :: + CMNAME ! Usee-specified material name, left justified REAL(8), INTENT(IN) :: + DTIME, ! Time increment + TEMP, ! Temperature at the start of the increment + DTEMP, ! Increment of temperature + CELENT ! Temperature REAL(8), DIMENSION(1), INTENT(IN) :: + PREDEF, + DPRED REAL(8), DIMENSION(2), INTENT(IN) :: + TIME ! Step time/total time at begin, of the current inc. REAL(8), DIMENSION(3), INTENT(IN) :: + COORDS REAL(8), DIMENSION(NTENS), INTENT(IN) :: + STRAN, ! Total strains at beginning of the increment + DSTRAN ! Strain increments REAL(8), DIMENSION(NPROPS), INTENT(IN) :: + PROPS REAL(8), DIMENSION(3,3), INTENT(IN) :: + DROT, ! Rotation increment matrix + DFGRD0, ! Deformation gradient at the former time increment + DFGRD1 ! Deformation gradient at the current time increment REAL(8), INTENT(INOUT) :: + PNEWDT, ! Ratio of suggested new time increment to current time increment + SSE, ! Specific elastic strain engergy + SPD, ! Specific plastic dissipation + SCD, ! Specific creep dissipation + RPL, ! Volumetric heat generation + DRPLDT ! Variation of RPL with respect to the temperature REAL(8), DIMENSION(NTENS), INTENT(INOUT) :: + STRESS ! Cauchy stress vector at the current time increment REAL(8), DIMENSION(NSTATV), INTENT(INOUT) :: + STATEV ! Solution-dependent state variables REAL(8), DIMENSION(NTENS), INTENT(OUT) :: + DDSDDT, ! Variation of the stress increments with respect to the temperature + DRPLDE ! Variation of RPL with respect to the strain increments REAL(8), DIMENSION(NTENS,NTENS), INTENT(OUT) :: + DDSDDE ! Material tangent at the current time increment ! ! local array for 3D crystal plasticity solver real(8) :: sigma(6), jacobi(6,6) ! material-id needed for array allocations integer :: matid, debug, debugwait ! counter integer :: i ! ! turn VS debugger on/off debug=0 do while (debug==1) debugwait = 1 end do ! ! to avoid warning messages set the following to zero DDSDDT = 0. DRPLDE = 0. ! ! outputs sigma = 0. jacobi = 0. ! ! ! ! read the number of elements and number of integration points per element if (ip_count(NOEL,NPT)<1) then ! ! Increment the counter ip_count(NOEL,NPT)=ip_count(NOEL,NPT)+1 ! ! store the number of elements if (NOEL>numel) numel=NOEL ! store the number of integration points if (NPT>numpt) numpt=NPT ! ! dimension of the problem (will be re-assigned in feprop) numtens = ntens ! DDSDDE=0. do i=1,NTENS DDSDDE(i,i)=largenum end do STRESS=0. PNEWDT=cutback ! ! ! end if ! ! ! if arrays allocated then ! do the crystal plasticity calculations if (init_once==1) then ! ! ! material/phase identifier matid=int(PROPS(5)) ! ! in some multi-body simulations UMAT entry for RGB has happened! ! in that case, RGB having no material-ID assigned gave array access issues ! this case deals with that situation if (matid > 0) then ! ! material property initialization if (ip_init(NOEL,NPT)==0) then ! call initialize_atfirstinc(NOEL,NPT,COORDS, + NPROPS,PROPS,TEMP,NSTATV,NTENS,STRESS) ! ! ! write(*,*) 'element: ', NOEL ! write(*,*) 'ip: ', NPT ! write(*,*) 'initialized!' end if ! ! ! ! ! call the main crystal plasticity solver call solve(NOEL,NPT,DFGRD1,DFGRD0, + TEMP,DTEMP,JSTEP(1),TIME(1),DTIME,matid, + PNEWDT,NSTATV,STATEV,sigma,jacobi) ! ! ! ! increase the time step if desired or, ! let ABAQUS decide! if (pastefront > 1.) then ! if there is no cutback introduced if (PNEWDT /= cutback) then PNEWDT = pastefront end if end if ! ! ! ! 3D case if (NTENS==6) then ! STRESS = sigma DDSDDE = jacobi ! ! plane strain case elseif (NTENS==4) then ! STRESS=0. STRESS=0. STRESS(1) = sigma(1) STRESS(2) = sigma(2) STRESS(3) = sigma(3) STRESS(4) = sigma(4) ! DDSDDE=0. DDSDDE(1,1) = jacobi(1,1) DDSDDE(1,2) = jacobi(1,2) DDSDDE(1,3) = jacobi(1,3) DDSDDE(2,1) = jacobi(2,1) DDSDDE(2,2) = jacobi(2,2) DDSDDE(2,3) = jacobi(2,3) DDSDDE(3,1) = jacobi(3,1) DDSDDE(3,2) = jacobi(3,2) DDSDDE(3,3) = jacobi(3,3) DDSDDE(4,4) = jacobi(4,4) ! ! plane stress case elseif (NTENS==3) then ! ! Corrected stress for plane stress STRESS=0. STRESS(1) = sigma(1) + -jacobi(1,3)*sigma(3)/jacobi(3,3) + -jacobi(1,5)*sigma(5)/jacobi(5,5) + -jacobi(1,6)*sigma(6)/jacobi(6,6) ! STRESS(2) = sigma(2) + -jacobi(2,3)*sigma(3)/jacobi(3,3) + -jacobi(2,5)*sigma(5)/jacobi(5,5) + -jacobi(2,6)*sigma(6)/jacobi(6,6) ! STRESS(3) = sigma(4) + -jacobi(4,3)*sigma(3)/jacobi(3,3) + -jacobi(4,5)*sigma(5)/jacobi(5,5) + -jacobi(4,6)*sigma(6)/jacobi(6,6) ! ! Corrected jacobian for plane stress DDSDDE=0. DDSDDE(1,1) = jacobi(1,1) - + jacobi(1,3)*jacobi(3,1)/jacobi(3,3) DDSDDE(1,2) = jacobi(1,2) - + jacobi(1,3)*jacobi(3,2)/jacobi(3,3) DDSDDE(1,3) = jacobi(1,4) - + jacobi(1,3) * jacobi(3,4) / jacobi(3,3) DDSDDE(2,1) = jacobi(2,1) - + jacobi(2,3)*jacobi(3,1)/jacobi(3,3) DDSDDE(2,2) = jacobi(2,2) - + jacobi(2,3)*jacobi(3,2)/jacobi(3,3) DDSDDE(2,3) = jacobi(2,4) - + jacobi(2,3) * jacobi(3,4) / jacobi(3,3) DDSDDE(3,1) = jacobi(4,1) - + jacobi(4,3) * jacobi(3,1) / jacobi(3,3) DDSDDE(3,2) = jacobi(4,2) - + jacobi(4,3) * jacobi(3,2) / jacobi(3,3) DDSDDE(3,3) = jacobi(4,4) - + jacobi(4,3) * jacobi(3,4) / jacobi(3,3) ! end if ! ! if rigid body (or matid not defined in PROPS) else ! DDSDDE=0. do i=1,NTENS DDSDDE(i,i)=largenum end do STRESS=0. ! ! end of crystal plasticity solution end if ! ! end of one-time initialization performed case end if ! ! ! RETURN END SUBROUTINE UMAT ================================================ FILE: OXFORD-UMAT v3.3/UEXTERNALDB.f ================================================ ! ! November, 01st, 2022 - 1st working version ! July 08th, 2025 ! ! Crystal Plasticity UMAT ! University of Oxford ! Eralp Demir ! SUBROUTINE UEXTERNALDB(LOP,LRESTART,TIME,DTIME,KSTEP,KINC) ! Subroutine for initialization use initializations, only : initialize_variables, + initialize_once use userinputs, only : gndmodel, backstressmodel, neighbourhood use globalvariables, only: numel, numpt, + init_once, statev_gmatinv, statev_gmatinv_t, + statev_gammasum_t, statev_gammasum, + statev_gammadot_t, statev_gammadot, + statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma, + statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth, + statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx, + statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd, + statev_ssd_t, statev_ssd, statev_forest_t, statev_forest, + statev_substructure_t, statev_substructure, statev_evmp_t, + statev_evmp, statev_totgammasum_t, statev_totgammasum, + statev_ssdtot_t, statev_ssdtot, statev_loop_t, statev_loop, + statev_Lambda_t, statev_Lambda, statev_sigma_t2, + statev_tausolute_t, statev_tausolute, time_old, dt_t, + statev_backstress, statev_backstress_t, + statev_plasdiss, statev_plasdiss_t, + statev_theta_t, statev_theta, + ip_count, calculategradient, ip_init, grad_init ! use straingradients, only: gndmodel1, gndmodel2, + gndmodel3, gndmodel4 use backstress, only: backstressmodel2 use meshprop, only: initialize_gradientoperators use useroutputs, only: write_statev_legend use miscellaneous, only: findneighbours ! implicit none ! ! ! INTEGER, INTENT(IN) :: + LOP, + LRESTART, + KSTEP, + KINC REAL(8), DIMENSION(1), INTENT(IN) :: + DTIME REAL(8), DIMENSION(2), INTENT(IN) :: + TIME ! ! integer :: i ! ! ! ! at the start of the analysis (only ONCE!) ! if there are initializations/calculations that are needed once, ! and that are independepent of element properties, you may use here. if (LOP==0) then ! ! 0. Initialize variables (instead of using data statements) call initialize_variables ! ! end if ! ! Initialization of gradient operators ! Check if the element has more than one integration point ! And the gradient initialization was done before or not if ((calculategradient==1).and.(grad_init==0)) then ! ! Check if IP coordinates were collected if ((sum(ip_init)==numel*numpt).and. + (numel>0).and.(numpt>0)) then ! ! ! Calculate the gradient mapping for each element once. call initialize_gradientoperators ! grad_init=1 write(*,*) '8. Gradient operators initialized!' ! ! Calculate neighbors if (neighbourhood==1) then call findneighbours write(*,*) '9. "Computed the neighbours!' end if ! ! endif ! end if ! ! ! ! ! if (LOP==1) then ! ! ! in case of force BC if ((KINC==1).and.(KSTEP==1)) then ! ! ! ! check if the one-time initialization is done or not if ((init_once==0).and.(numel>0).and.(numpt>0)) then ! ! ! ! check the number of elements i = sum(ip_count(1,:)) if (i>numpt) numpt = i ! ! check the number of elements i = sum(ip_count(:,1)) if (i>numel) numel = i ! ! ! write element number write(*,*) 'total elements in the mesh: ', numel ! ! write integration point number write(*,*) 'integration points per element: ', numpt ! ! write(*,*) '--------------------------------' ! ! call the initializations call initialize_once ! ! display upon completion write(*,*) 'one-time initialization is complete!' ! ! write(*,*) '--------------------------------' ! ! ! write the legend to a text file call write_statev_legend ! ! message for initializatoin write(*,*) '7. "STATEV_legend.txt" file is ready!' ! ! set the one-time initilaziation flag (at the very end) init_once=1 ! end if ! ! ! ! ! end if ! ! end if ! ! ! ! at the end of each increment if (LOP==2) then ! ! ! in case of displacement BC if ((KINC==1).and.(KSTEP==1)) then ! ! ! ! check if the one-time initialization is done or not if ((init_once==0).and.(numel>0).and.(numpt>0)) then ! ! ! ! check the number of elements i = sum(ip_count(1,:)) if (i>numpt) numpt = i ! ! check the number of elements i = sum(ip_count(:,1)) if (i>numel) numel = i ! ! ! write element number write(*,*) 'total elements in the mesh: ', numel ! ! write integration point number write(*,*) 'integration points per element: ', numpt ! ! write(*,*) '--------------------------------' ! ! call the initializations call initialize_once ! ! display upon completion write(*,*) 'one-time initialization is complete!' ! ! write(*,*) '--------------------------------' ! ! ! write the legend to a text file call write_statev_legend ! ! message for initializatoin write(*,*) '7. "STATEV_legend.txt" file is ready!' ! ! ! ! set the one-time initilaziation flag (at the very end) init_once=1 ! ! end if ! ! ! ! ! ! end if ! ! ! write(*,*) '--------------------------------' ! write(*,*) 'At the end of increment: ', KINC ! ! ! ! ! ! GND calculations ! do this only if the initiliazation complete and ! element gradients are calculatable (calculategradient==1) if ((init_once==1).and.(grad_init==1).and. + (calculategradient==1).and.(KINC>1)) then ! ! update and calculate GNDs (nonlocal calculations) ! this is done at the end of calculations. ! GNDs that belong to the PREVIOUS time step are used. ! initially GNDs are assumed to have "0" values. ! ! calculate GNDs (if initialization complete) if (gndmodel>0) then ! ! curl followed by L2 minimization - SVD - ! constrained to active slip systems if (gndmodel==1) then ! call gndmodel1 ! ! Cermelli-Gurtin's incompatibility measure - L2 minimization - SVD ! constrained to active slip systems (same as model-1) elseif (gndmodel==2) then ! call gndmodel2 ! ! rate form followed by direct projections elseif (gndmodel==3) then ! call gndmodel3(DTIME(1)) ! ! slip gradients elseif (gndmodel==4) then ! call gndmodel4(DTIME(1)) ! ! endif ! ! write(*,*) 'GNDs are computed!' ! ! if (backstressmodel==2) then ! call backstressmodel2 ! write(*,*) 'Backstresses are computed!' ! end if ! end if ! end if ! ! update the time time_old = time(2) ! store former converged time increment dt_t = DTIME(1) ! ! ! update state variables ! assign the current results to the former values statev_gmatinv_t(:,:,:,:) = statev_gmatinv(:,:,:,:) statev_evmp_t(:,:) = statev_evmp(:,:) statev_gammasum_t(:,:,:) = statev_gammasum(:,:,:) statev_totgammasum_t(:,:) = statev_totgammasum(:,:) statev_gammadot_t(:,:,:) = statev_gammadot(:,:,:) statev_Fp_t(:,:,:,:) = statev_Fp(:,:,:,:) statev_Fth_t(:,:,:,:) = statev_Fth(:,:,:,:) statev_sigma_t2(:,:,:) = statev_sigma_t(:,:,:) statev_sigma_t(:,:,:) = statev_sigma(:,:,:) statev_jacobi_t(:,:,:,:) = statev_jacobi(:,:,:,:) statev_tauc_t(:,:,:) = statev_tauc(:,:,:) statev_maxx_t(:,:) = statev_maxx(:,:) statev_Eec_t(:,:,:) = statev_Eec(:,:,:) statev_gnd_t(:,:,:) = statev_gnd(:,:,:) statev_ssd_t(:,:,:) = statev_ssd(:,:,:) statev_ssdtot_t(:,:) = statev_ssdtot(:,:) statev_forest_t(:,:,:) = statev_forest(:,:,:) statev_loop_t(:,:,:) = statev_loop(:,:,:) statev_substructure_t(:,:) = statev_substructure(:,:) statev_tausolute_t(:,:) = statev_tausolute(:,:) statev_Lambda_t(:,:,:) = statev_Lambda(:,:,:) statev_backstress_t(:,:,:) = statev_backstress(:,:,:) statev_plasdiss_t(:,:) = statev_plasdiss(:,:) statev_theta_t(:,:) = statev_theta(:,:) ! write(*,*) 'States are updated!' ! write(*,*) '--------------------------------' ! ! endif ! ! ! RETURN END SUBROUTINE UEXTERNALDB ================================================ FILE: OXFORD-UMAT v3.3/backstress.f ================================================ ! May 03rd, 2022 ! Eralp Demir ! module backstress implicit none contains ! ! Armstrong-Frederic backstress model ! Two input parameters are required subroutine backstressmodel1(backstressparam,nslip,X,gdot,dt,dX) use userinputs, only : maxnparam implicit none ! Inputs ! Backstress parameters real(8), intent(in) :: backstressparam(maxnparam) ! Number of slip systems integer, intent(in) :: nslip ! Current value of slip rate real(8), intent(in) :: gdot(nslip) ! Current value of backstress real(8), intent(in) :: X(nslip) ! time increment real(8), intent(in) :: dt ! ! Output ! Backtress increment real(8), intent(out) :: dX(nslip) ! ! Variables used in this subroutine ! Backstress evolution parameter real(8) :: h ! Backstress relief parameter real(8) :: hD integer :: is ! ! Backstress evolution h = backstressparam(1) ! ! Backstress annihiliation hD = backstressparam(2) ! dX = 0. do is=1,nslip ! dX(is) = (h*gdot(is) - hD*X(is)*abs(gdot(is)))*dt ! end do ! ! ! return end subroutine backstressmodel1 ! ! ! ! ! ! NON-LOCAL backstress calculation based on GND density subroutine backstressmodel2 use userinputs, only: maxnslip use globalvariables, only: numel, numpt, + materialid, numslip_all, numscrew_all, screw_all, + burgerv_all, gf_all, G12_all, v12_all, + backstressparam_all, statev_backstress, + statev_gnd, statev_gammasum use utilities, only: matvec6 implicit none integer :: matid, nslip, nscrew real(8) :: burgerv(maxnslip) integer :: screw(maxnslip) real(8) :: X(maxnslip) real(8) :: gf, G12, v12, xi real(8) :: rhoGNDe, rhoGNDs, gsum real(8) :: rhoGND(maxnslip) integer :: ie, ip, is, i, k, l ! ! ! ! ! ! do ie=1, numel ! ! Reset arrays burgerv=0.;screw=0 ! ! ! ! Assume the same material for al the Gaussian points of an element matid = materialid(ie,1) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! Screw systems screw = screw_all(matid,1:nscrew) ! ! Geometric factor gf = gf_all(matid) ! ! Shear Modulus G12 = G12_all(matid) ! ! Poisson's ratio v12 = v12_all(matid) ! ! Burgers vector burgerv(1:nslip) = burgerv_all(matid,1:nslip) ! ! Backstress parameter xi = backstressparam_all(matid,1) ! ! do ip=1,numpt ! ! ! ! ! ! ! Reset backstress X = 0. ! ! rhoGND=0. ! Edges do is = 1, nslip ! ! Sum of shear rates gsum = statev_gammasum(ie,ip,is) ! Edge dislocation density rhoGNDe = statev_gnd(ie,ip,is) ! !! ! rhoGND(is) = abs(statev_gnd(ie,ip,is)) ! ! ! Backstress due to edges X(is) = xi*G12/(1.-v12)*burgerv(is)* + sqrt(abs(rhoGNDe))*sign(1.0,gsum) ! ! ! end do ! ! ! ! Screws do i = 1, nscrew ! is = screw(i) ! ! Sum of shear rates gsum = statev_gammasum(ie,ip,is) ! Screw dislocation density rhoGNDs = statev_gnd(ie,ip,nslip+i) ! ! rhoGND(is) = rhoGND(is) + ! + abs(statev_gnd(ie,ip,nslip+i)) ! ! Backstress due to screws X(is) = X(is) + xi*G12*burgerv(is)* + sqrt(abs(rhoGNDs))*sign(1.0,gsum) ! ! ! end do ! ! !! Backstress ! do is = 1, nslip !! !! Sum of shear rates ! gsum = statev_gammasum(ie,ip,is) !! ! X(is) = xi*G12*burgerv(is)*sqrt(rhoGND(is)) ! + *sign(1.0,gsum) !! ! end do ! ! ! Assign to the global vector statev_backstress(ie,ip,1:nslip) = X(1:nslip) ! ! ! ! ! ! end do ! ! ! ! ! ! ! end do ! ! ! ! ! ! ! return ! end subroutine backstressmodel2 ! ! end module backstress ================================================ FILE: OXFORD-UMAT v3.3/cpsolver.f ================================================ ! Oct. 1st, 2022 ! Eralp Demir ! This module contains the solver schemes for crystal plasticity ! module cpsolver implicit none contains ! ! This subroutine deals with ! global variables and their assignments ! before entering the main solver: ! 1. assigns the global variables to locals ! before calling the CP-solver ! 2. calls fge-predictor scheme before as ! spare solution ! 3. calls implicit or explicit CP-solvers ! 4. assigns the results to the glboal state variables subroutine solve(noel, npt, dfgrd1, dfgrd0, + temp, dtemp, jstep, tstep, dt, + matid, pnewdt, nstatv, statev, + sigma, jacobi) ! use globalvariables, only : dt_t, + statev_gmatinv, statev_gmatinv_t, statev_gmatinv_0, + statev_gammasum_t, statev_gammasum, statev_ssdtot_t, + statev_gammadot_t, statev_gammadot, statev_ssdtot, + statev_Fp_t, statev_Fp, statev_sigma_t, statev_sigma, + statev_jacobi_t, statev_jacobi, statev_Fth_t, statev_Fth, + statev_tauc_t, statev_tauc, statev_maxx_t, statev_maxx, + statev_Eec_t, statev_Eec, statev_gnd_t, statev_gnd, + statev_ssd_t, statev_ssd, statev_loop_t, statev_loop, + statev_forest_t, statev_forest, statev_evmp_t, statev_evmp, + statev_substructure_t, statev_substructure, statev_sigma_t2, + statev_totgammasum_t, statev_totgammasum, + statev_tausolute_t, statev_tausolute, forestproj_all, + numslip_all, numscrew_all, phaseid_all, + dirc_0_all, norc_0_all, caratio_all, cubicslip_all, + Cc_all, gf_all, G12_all, alphamat_all, burgerv_all, + sintmat1_all, sintmat2_all, hintmat1_all, hintmat2_all, + slipmodel_all, slipparam_all, creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, irradiationmodel_all, + irradiationparam_all, backstressparam_all, slip2screw_all, + statev_backstress_t, statev_backstress, statev_plasdiss_t, + statev_plasdiss, statev_theta_t, statev_theta, + statev_tauceff, statev_Fr, I3, I6, smallnum ! use userinputs, only: constanttemperature, temperature, + predictor, maxnslip, maxnparam, maxxcr, cutback, + phi, maxnloop, stateupdate, readresidualstrainfile, tres ! ! use usermaterials, only: materialparam ! use crss, only: slipresistance, totalandforest ! use useroutputs, only: assignoutputs, nstatv_outputs ! use errors, only: error ! use utilities, only: inv3x3, nolapinverse, matvec6, vecmat6, + rotord4sig, gmatvec6 ! implicit none ! ! element no integer, intent(in) :: noel ! ! ip no integer, intent(in) :: npt ! ! ! current deformation gradient real(8), intent(in) :: dfgrd1(3,3) ! ! former deformation gradient real(8), intent(in) :: dfgrd0(3,3) ! ! ABAQUS temperature real(8), intent(in) :: temp ! ! ABAQUS temperature increment real(8), intent(in) :: dtemp ! ! step number integer, intent(in) :: jstep ! ! step time real(8), intent(in) :: tstep ! ! time step real(8), intent(in) :: dt ! ! material id integer, intent(in) :: matid ! ! time factor real(8), intent(inout) :: pnewdt ! ! number of state variables - for postprocessing integer, intent(in) :: nstatv ! ! state variables - postprocessing real(8), intent(inout) :: statev(nstatv) ! ! Cauchy stress real(8), intent(out) :: sigma(6) ! ! Material tangent real(8), intent(out) :: jacobi(6,6) ! ! Local variables used within this subroutine ! ! ! phase-id integer :: phaid ! ! number of slip systems integer :: nslip ! ! ! Convergence flag (initially set to zero!) ! ! Flag for crystal plasticity explicit/implicit solver integer :: cpconv ! ! Flag for Euler solver convergence integer :: cpconv0 ! ! ! Local state variables with known dimensions ! crystal to sample transformation initally real(8) :: gmatinv_0(3,3) ! crystal to sample transformation at the former time step real(8) :: gmatinv_t(3,3) ! crystal to sample transformation at the former time step real(8) :: gmatinv(3,3) ! rss/crsss ratio at the former time step real(8) :: maxx_t ! rss/crsss ratio at the current time step real(8) :: maxx ! elastic strains in the crystal reference at the former time step real(8) :: Eec_t(6) ! elastic strains in the crystal reference at the current time step real(8) :: Eec(6) ! plastic deformation gradient at the former time step real(8) :: Fp_t(3,3) ! plastic deformation gradient at the current time step real(8) :: Fp(3,3) ! thermal deformation gradient at the former time step real(8) :: Fth_t(3,3) ! thermal deformation gradient at the current time step real(8) :: Fth(3,3) ! inverse of the thermal deformation gradient at the former time step real(8) :: invFth_t(3,3) ! inverse of the thermal deformation gradient at the current time step real(8) :: invFth(3,3) ! determinant of the thermal deformation gradient real(8) :: detFth, detFth_t ! total residual deformation gradient at the end of time step real(8) :: Fr0(3,3) ! residual deformation gradient at the former time step real(8) :: Fr_t(3,3) ! residual deformation gradient at the current time step real(8) :: Fr(3,3) ! inverse of the residual deformation gradient at the former time step real(8) :: invFr_t(3,3) ! inverse of the residual deformation gradient at the current time step real(8) :: invFr(3,3) ! determinant of the residual deformation gradient real(8) :: detFr, detFr_t ! mechanical deformation gradient at the former time step real(8) :: F_t(3,3) ! mechanical deformation gradient at the current time step real(8) :: F(3,3) ! ! Variables for velocity gradient calculation ! Fdot real(8) :: Fdot(3,3) ! velocity gradient at the current time step real(8) :: L(3,3) ! inverse of the deformation gradient real(8) :: Finv(3,3) ! determinant of the deformation gradient real(8) :: detF ! ! Local state variable arrays ! sum of slip per slip system real(8) :: gammasum_t(numslip_all(matid)) real(8) :: gammasum(numslip_all(matid)) ! slip rates real(8) :: gammadot_t(numslip_all(matid)) real(8) :: gammadot(numslip_all(matid)) ! slip resistance real(8) :: tauc_t(numslip_all(matid)) real(8) :: tauc(numslip_all(matid)) ! effective overall slip resistance ! (tauc0 + GND + SSD + solute + substructure + forest + etc.) real(8) :: tauceff_t(numslip_all(matid)) real(8) :: tauceff(numslip_all(matid)) ! Note the size of GND is different ! gnd density (nslip + nscrew) real(8) :: gnd_t(numslip_all(matid)+numscrew_all(matid)) real(8) :: gnd(numslip_all(matid)+numscrew_all(matid)) ! ! ssd density (nslip) real(8) :: ssd_t(numslip_all(matid)) real(8) :: ssd(numslip_all(matid)) ! loop density (maxnloop) real(8) :: loop_t(maxnloop) real(8) :: loop(maxnloop) ! total forest dislocation density - derived from other terms real(8) :: rhofor_t(numslip_all(matid)) real(8) :: rhofor(numslip_all(matid)) ! total density real(8) :: rhotot_t(numslip_all(matid)) real(8) :: rhotot(numslip_all(matid)) ! forest dislocation density as a state variable real(8) :: forest_t(numslip_all(matid)) real(8) :: forest(numslip_all(matid)) ! ! Cauchy stress at the former time step real(8) :: sigma_t(6) ! ! Strain increment real(8) :: dstran(6) ! ! Scalar state variables ! equivalent Von-Mises plastic strain real(8) :: evmp_t real(8) :: evmp ! ! rotation real(8) :: theta_t real(8) :: theta ! ! cumulative slip real(8) :: totgammasum_t real(8) :: totgammasum ! ! plastic dissipation power real(8) :: plasdiss_t real(8) :: plasdiss ! ! solute strength real(8) :: tausolute_t real(8) :: tausolute ! substructure density real(8) :: substructure_t real(8) :: substructure ! total density real(8) :: ssdtot_t real(8) :: ssdtot ! scalar cumulartive density real(8) :: sumrhotot_t real(8) :: sumrhotot ! ! material-related local variables ! number screw systems integer :: nscrew ! slip model flag integer :: smodel ! creep model flag integer :: cmodel ! hardening model flag integer :: hmodel ! irradiation mdoel flag integer :: imodel ! cubic slip flag integer :: cubicslip ! material temperature real(8) :: mattemp ! c/a ratio for hcp materials real(8) :: caratio ! compliance at the crystal reference real(8) :: Cc(6,6) ! geometric factor real(8) :: gf ! shear modulus real(8) :: G12 ! Poisson's ratio real(8) :: v12 ! thermal expansion coefficient real(8) :: alphamat(3,3) ! slip parameters real(8) :: sparam(maxnparam) ! creep parameters real(8) :: cparam(maxnparam) ! hardening parameters real(8) :: hparam(maxnparam) ! irradiation parameters real(8) :: iparam(maxnparam) ! Backstress parameters real(8) :: bparam(maxnparam) ! Burgers vector real(8) :: burgerv(numslip_all(matid)) ! Interaction matrices ! Strength interaction between dislocations real(8) :: sintmat1(numslip_all(matid),numslip_all(matid)) ! Strength interaction dislocation loops related with irradiation real(8) :: sintmat2(numslip_all(matid),numslip_all(matid)) ! Latent hardening real(8) :: hintmat1(numslip_all(matid),numslip_all(matid)) ! Hardening interaction matrix between dislocations real(8) :: hintmat2(numslip_all(matid),numslip_all(matid)) ! ! ! slip direction and slip plane normal at the crystal reference (undeformed) real(8) :: dirc_0(numslip_all(matid),3) real(8) :: norc_0(numslip_all(matid),3) ! slip direction and slip plane normal at the sample reference real(8) :: dirs_t(numslip_all(matid),3) real(8) :: nors_t(numslip_all(matid),3) ! ! Forest projection operators for GND and SSD real(8) :: forestproj(numslip_all(matid), + numslip_all(matid)+numscrew_all(matid)) ! ! Slip to screw system map real(8) :: slip2screw(numscrew_all(matid),numslip_all(matid)) ! ! Schmid Dyadic real(8) :: Schmid(numslip_all(matid),3,3) real(8) :: Schmidvec(numslip_all(matid),6) real(8) :: SchmidxSchmid(numslip_all(matid),6,6) real(8) :: sdir(3), ndir(3), SNij(3,3), NSij(3,3) real(8) :: nsi(6), sni(6) ! ! ! ! strain calculations ! total strain increment real(8) :: dstran33(3,3) ! thermal strain increment real(8) :: dstranth33(3,3), dstranth(6) ! total spin increment real(8) :: domega(3) ! total spin (rate) 3x3 matrix real(8) :: W(3,3), dW33(3,3) ! ! Elasticity transformation ! temporary array for elastic stiffness calculation real(8) :: rot4(6,6) ! elasticity matrix at the deformed reference real(8) :: Cs(6,6) ! ! Trial stress calculation ! trial stress real(8) :: sigmatr(6) ! ! Backstress at current time real(8) :: X(numslip_all(matid)) ! Backstress at former time real(8) :: X_t(numslip_all(matid)) ! Backstress backup solution real(8) :: X0(numslip_all(matid)) ! ! ! ! Resolved shear stress calculation ! GUESS values real(8) :: sigma0(6), jacobi0(6,6) ! value of resolved shear stress real(8) :: tau0(numslip_all(matid)) ! ! value of resolved shear stress real(8) :: tau_t(numslip_all(matid)) ! ! value of trial resolved shear stress real(8) :: tautr(numslip_all(matid)) ! absolute value of resolved shear stress real(8) :: abstautr(numslip_all(matid)) ! ! dummy variables real(8) :: dummy3(3), dummy33(3,3) real(8) :: dummy33_(3,3) real(8) :: dummy6(6), dummy66(6,6) integer :: dum1, dum2, dum3 ! unused variables real(8) :: notused1(maxnslip) real(8) :: notused2(maxnslip) real(8) :: notused3(maxnslip) ! In case materials subroutine entered everytime ! Strength interaction between dislocations real(8) :: notused4(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8) :: notused5(maxnslip,maxnslip) ! Latent hardening real(8) :: notused6(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8) :: notused7(maxnslip,maxnslip) ! Initial forest and substructure densities real(8) :: notused8, notused9 ! ! counter integer :: is, i, j ! ! ! ! Reset sparse arrays notused1=0.;notused2=0.;notused3=0. notused4=0.;notused5=0. notused6=0.;notused7=0. ! ! ! ! convergence check initially ! if sinh( ) in the slip law has probably blown up ! then try again with smaller dt if(any(dfgrd1 /= dfgrd1)) then ! Set the outputs to zero initially sigma = 0. jacobi = I6 ! cut back time pnewdt = cutback ! warning message in .dat file call error(11) ! go to the end of subroutine return end if ! ! ! ! phase-id phaid = phaseid_all(matid) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! ! ! ! undeformed slip direction dirc_0 = dirc_0_all(matid,1:nslip,1:3) ! undeformed slip plane normal norc_0 = norc_0_all(matid,1:nslip,1:3) ! ! ! Forest projection for GND forestproj = forestproj_all(matid,1:nslip,1:nslip+nscrew) ! ! ! Slip to screw system mapping slip2screw = slip2screw_all(matid,1:nscrew,1:nslip) ! ! ! Assign the global state variables ! to the local variables ! at the former time step gammasum_t = statev_gammasum_t(noel,npt,1:nslip) gammadot_t = statev_gammadot_t(noel,npt,1:nslip) tauc_t = statev_tauc_t(noel,npt,1:nslip) gnd_t = statev_gnd_t(noel,npt,1:nslip+nscrew) ssd_t = statev_ssd_t(noel,npt,1:nslip) loop_t = statev_loop_t(noel,npt,1:maxnloop) ssdtot_t = statev_ssdtot_t(noel,npt) forest_t = statev_forest_t(noel,npt,1:nslip) substructure_t = statev_substructure_t(noel,npt) evmp_t = statev_evmp_t(noel,npt) plasdiss_t = statev_plasdiss_t(noel,npt) theta_t = statev_theta_t(noel,npt) totgammasum_t = statev_totgammasum_t(noel,npt) tausolute_t = statev_tausolute_t(noel,npt) sigma_t = statev_sigma_t(noel,npt,:) Fp_t = statev_Fp_t(noel,npt,:,:) Fth_t = statev_Fth_t(noel,npt,:,:) Eec_t = statev_Eec_t(noel,npt,:) ! Crystal orientations at former time step gmatinv_t = statev_gmatinv_t(noel,npt,:,:) ! Initial orientation gmatinv_0 = statev_gmatinv_0(noel,npt,:,:) ! Backstress at former time step X_t = statev_backstress_t(noel,npt,1:nslip) ! ! residual deformation gradient Fr0=statev_Fr(noel,npt,:,:) ! ! Material parameters are constant caratio = caratio_all(matid) cubicslip = cubicslip_all(matid) Cc = Cc_all(matid,:,:) gf = gf_all(matid) G12 = G12_all(matid) alphamat = alphamat_all(matid,:,:) burgerv = burgerv_all(matid,1:nslip) ! ! sintmat1 = sintmat1_all(matid,1:nslip,1:nslip) sintmat2 = sintmat2_all(matid,1:nslip,1:nslip) hintmat1 = hintmat1_all(matid,1:nslip,1:nslip) hintmat2 = hintmat2_all(matid,1:nslip,1:nslip) ! ! ! smodel = slipmodel_all(matid) sparam = slipparam_all(matid,1:maxnparam) cmodel = creepmodel_all(matid) cparam = creepparam_all(matid,1:maxnparam) hmodel = hardeningmodel_all(matid) hparam = hardeningparam_all(matid,1:maxnparam) imodel = irradiationmodel_all(matid) iparam = irradiationparam_all(matid,1:maxnparam) bparam = backstressparam_all(matid,1:maxnparam) ! ! ! ! ! Temperature is constant and defined by the user if (constanttemperature == 1) then ! ! ! Assign temperature mattemp = temperature ! ! ! ! Temperature is defined by ABAQUS ! Material properties are entered every time ! Because properties can be temperature dependent else if (constanttemperature == 0) then ! ! Use ABAQUS temperature (must be in K) mattemp = temp ! ! ! get material constants call materialparam(matid,mattemp, + dum1,dum2,dum3,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,notused1, ! state variables are NOT updated here + notused2,notused3,notused8,notused9, + smodel,sparam,cmodel,cparam, + hmodel,hparam,imodel,iparam, + notused4,notused5,notused6, + notused7,bparam) ! Interaction matrices are not updated here ! ! ! ! ! end if ! ! ! ! ! ! Slip directions in the sample reference call rotateslipsystems(phaid,nslip,caratio, + gmatinv_t,dirc_0,norc_0,dirs_t,nors_t) ! ! ! Calculate Schmid tensors and Schmid dyadic Schmid=0.; SchmidxSchmid=0. do is=1,nslip ! ! Slip direction sdir = dirs_t(is,:) ! Slip plane normal ndir = nors_t(is,:) ! do i=1,3 do j=1,3 SNij(i,j) = sdir(i)*ndir(j) NSij(j,i) = ndir(j)*sdir(i) Schmid(is,i,j) = SNij(i,j) enddo enddo ! ! ! ! call gmatvec6(SNij,sni) ! call gmatvec6(NSij,nsi) ! ! Vectorized Schmid tensor Schmidvec(is,1:6) = sni ! do i=1,6 do j=1,6 SchmidxSchmid(is,i,j)=sni(i)*nsi(j) enddo enddo ! enddo ! ! ! ! Calculate total and forest density call totalandforest(phaid, nscrew, nslip, + gnd_t, ssd_t, + ssdtot_t, forest_t, + forestproj, slip2screw, rhotot_t, + sumrhotot_t, rhofor_t) ! ! ! ! Calculate crss call slipresistance(phaid, nslip, gf, G12, + burgerv, sintmat1, sintmat2, tauc_t, + rhotot_t, sumrhotot_t, rhofor_t, substructure_t, + tausolute_t, loop_t, hmodel, hparam, imodel, iparam, + mattemp, tauceff_t) ! ! ! ! ! Elastic stiffness in the sample reference ! ! Rotation matrix - special for symmetric 4th rank transformation call rotord4sig(gmatinv_t,rot4) ! ! ! ! Elasticity tensor in sample reference dummy66=matmul(rot4,Cc) Cs = matmul(dummy66,transpose(rot4)) ! !! To avoid numerical problems ! Cs = (Cs + transpose(Cs))/2. ! ! ! ! ! ! CALCULATION OF THERMAL STRAINS ! ! No thermal strains if (constanttemperature == 1) then ! ! dstranth = 0. ! ! Fth_t = I3; Fth = I3 ! invFth=I3; detFth=1. invFth_t=I3; detFth_t=1. ! ! Thermal strains if temperature change is defined by ABAQUS else ! ! Thermal eigenstrain in the crystal reference system dstranth33 = dtemp*alphamat ! ! Transform the thermal strains to sample reference dstranth33 = matmul(matmul(gmatinv_0,dstranth33), + transpose(gmatinv_0)) ! ! ! ! ! ! Convert to a vector call matvec6(dstranth33,dstranth) ! ! Shear corrections dstranth(4:6) = 2.0*dstranth(4:6) ! ! ! ! Thermal deformation gradient Fth = Fth_t + dstranth33 ! ! Invert the thermal distortions call inv3x3(Fth,invFth,detFth) ! call inv3x3(Fth_t,invFth_t,detFth_t) ! ! ! ! end if ! ! ! ! CALCULATION OF RESIDUAL STRAINS ! ! Residual strains if (readresidualstrainfile==1) then ! ! residual strains will be applied at the very first step ! linearly ramp the residual deformation if (jstep==1) then Fr = (Fr0-I3)*(tstep+dt)/tres + I3 Fr_t = (Fr0-I3)*tstep/tres + I3 else Fr = Fr0 end if ! call inv3x3(Fr,invFr,detFr) call inv3x3(Fr_t,invFr_t,detFr_t) ! ! No residual strains else ! Fr=I3; Fr_t=I3 ! invFr=I3; detFr=1. invFr_t=I3; detFr_t=1. ! ! end if ! ! ! ! Take out the thermal distortions from the total deformation F = matmul(dfgrd1,invFth) ! F_t = matmul(dfgrd0,invFth_t) ! ! Similarly, take out the residual deformations F = matmul(F,invFr) ! F_t = matmul(F_t,invFr_t) ! ! ! ! MECHANICAL PART OF THE DEFORMATION GRADIENT ! Calculate velocity gradient ! Rate of deformation gradient Fdot = (F - F_t) / dt ! ! Inverse of the deformation gradient call inv3x3(F,Finv,detF) ! ! Velocity gradient L = matmul(Fdot,Finv) ! ! ! ! ! ! ! CALCULATION OF TOTAL & MECHANICAL STRAINS ! ! Total stain increment from velocity gradient dstran33=(L+transpose(L))*0.5*dt ! ! ! call matvec6(dstran33,dstran) ! ! Shear corrections dstran(4:6) = 2.0*dstran(4:6) ! ! ! Total spin W=(L-transpose(L))*0.5 ! ! ! ! Total spin increment - components ! This is corrected as follows: Eralp - Alvaro 19.02.2023 ! The solution in Huang et al gives the negative -1/2*W ! We obtained the spin directly from velocity gradient ! 1. It is positive ! 2. It has to be divided by 2 domega(1) = W(1,2) - W(2,1) domega(2) = W(3,1) - W(1,3) domega(3) = W(2,3) - W(3,2) domega = domega * dt / 2. ! ! ! ! ! ! ! CALCULATION OF TRIAL STRESS ! ! Trial stress sigmatr = sigma_t + matmul(Cs,dstran) ! ! ! ! ! ! ! ! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tau_t(is) = dot_product(Schmidvec(is,:),sigma_t) end do ! ! ! ! CALCULATE TRIAL-RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tautr(is) = dot_product(Schmidvec(is,:),sigmatr)-X_t(is) abstautr(is) = abs(tautr(is)) end do ! ! ! maximum ratio of rss to crss maxx = maxval(abstautr/tauceff_t) ! ! ! ! ! DECISION FOR USING CRYSTAL PLASTICITY ! BASED ON THRESHOLD VALUE ! ! Elastic solution if (maxx <= maxxcr) then ! ! ! ! ! stress sigma = sigmatr ! ! material tangent jacobi = Cs ! ! ! Assign the global state variables ! For NO SLIP condition totgammasum=totgammasum_t gammasum=gammasum_t gammadot=0. tauceff=tauceff_t tauc=tauc_t gnd=gnd_t ssd=ssd_t loop = loop_t ssdtot=ssdtot_t forest=forest_t substructure=substructure_t evmp=evmp_t plasdiss=plasdiss_t theta=theta_t tausolute=tausolute_t Fp=Fp_t X=X_t cpconv=1 cpconv0=0 ! ! Update orietnations ! All the orientation changes are elastic - rotations dW33=0. dW33(1,2) = domega(1) dW33(1,3) = -domega(2) dW33(2,1) = -domega(1) dW33(2,3) = domega(3) dW33(3,1) = domega(2) dW33(3,2) = -domega(3) ! gmatinv = gmatinv_t + matmul(dW33,gmatinv_t) ! ! Elastic strains in the crystal lattice ! Add the former elastic strains ! ! Undo shear corrections dummy6 = dstran dummy6(4:6) = 0.5*dummy6(4:6) ! ! Convert the strain into matrix call vecmat6(dummy6,dummy33) ! ! Elastic strains in the crystal reference dummy33_ = matmul(transpose(gmatinv),dummy33) dummy33 = matmul(dummy33_,gmatinv) ! ! ! Vectorize call matvec6(dummy33,dummy6) ! ! Shear corrections dummy6(4:6) = 2.0*dummy6(4:6) ! Eec=Eec_t+dummy6 ! ! ! ! ! Solve using crystal plasticity else ! ! ! ! Guess if Forward Gradient Predictor scheme is not active if (predictor == 0) then ! sigma0 = (1.-phi)*sigma_t + phi*sigmatr ! ! ! ! This part is added by Chris Hardie (11/05/2023) ! Former stress scheme elseif (predictor == 1) then ! ! ! if (dt_t > 0.0) then ! do i = 1, 6 sigma0(i) = + statev_sigma_t(noel,npt,i) + + (statev_sigma_t(noel,npt,i) - + statev_sigma_t2(noel,npt,i))*dt/dt_t end do ! else sigma0 = sigma_t end if ! ! ! ! ! ! ! ! ! ! end if ! ! ! CALCULATE RESOLVED SHEAR STRESS ON SLIP SYSTEMS ! rss and its sign do is = 1, nslip tau0(is) = dot_product(Schmidvec(is,:),sigma0) end do ! ! ! call CP_Dunne(matid, phaid, + nslip, nscrew, mattemp, Cs, gf, G12, + burgerv, cubicslip, caratio, + F, Fp_t, gmatinv_t, Eec_t, + gammadot_t, gammasum_t, + totgammasum_t, evmp_t, plasdiss_t, + sigma0, tau0, sigmatr, + forestproj, slip2screw, + Schmid, Schmidvec, SchmidxSchmid, + smodel, sparam, cmodel, cparam, + imodel, iparam, hmodel, hparam, + bparam, sintmat1, sintmat2, + hintmat1, hintmat2, + tauceff_t, tauc_t, rhotot_t, + sumrhotot_t, ssdtot_t, + rhofor_t, forest_t, substructure_t, + gnd_t, ssd_t, loop_t, X_t, + dt, L, W, dstran, + Fp, gmatinv, Eec, + gammadot, gammasum, totgammasum, + evmp, plasdiss, theta, + tauceff, tauc, tausolute, + ssdtot, ssd, loop, X, + forest, substructure, + sigma, jacobi, cpconv) ! ! ! ! ! ! ! ! ! ! ! STILL NOT CONVERGED THE CUTBACK TIME ! Convergence check ! Use cpsolver did not converge ! Diverged! - use time cut backs if (cpconv == 0) then ! ! Set the outputs to zero initially sigma = 0.!statev_sigma_t(noel,npt,:) jacobi = 0.!statev_jacobi_t(noel,npt,:,:) ! Set time cut back and send a message pnewdt = cutback ! endif ! ! ! ! endif ! ! ! ! ! ! Assign the global state variables statev_gammasum(noel,npt,1:nslip)=gammasum statev_gammadot(noel,npt,1:nslip)=gammadot statev_tauc(noel,npt,1:nslip)=tauc statev_ssd(noel,npt,1:nslip)=ssd statev_loop(noel,npt,1:maxnloop)=loop statev_ssdtot(noel,npt)=ssdtot statev_forest(noel,npt,1:nslip)=forest statev_substructure(noel,npt)=substructure statev_evmp(noel,npt)=evmp statev_maxx(noel,npt)=maxx statev_totgammasum(noel,npt)=totgammasum statev_tausolute(noel,npt)=tausolute statev_sigma(noel,npt,1:6)=sigma statev_jacobi(noel,npt,1:6,1:6)=jacobi statev_Fp(noel,npt,1:3,1:3)=Fp statev_Fth(noel,npt,1:3,1:3)=Fth statev_Eec(noel,npt,1:6)=Eec ! Crystal orientations at former time step statev_gmatinv(noel,npt,1:3,1:3)=gmatinv ! Backstress statev_backstress(noel,npt,1:nslip)=X ! Plastic dissipation power density statev_plasdiss(noel,npt)=plasdiss ! Rotation statev_theta(noel,npt)=theta ! Overall CRSS statev_tauceff(noel,npt,1:nslip)=tauceff ! ! Write the outputs for post-processing ! If outputs are defined by the user if (nstatv_outputs>0) then ! call assignoutputs(noel,npt,nstatv,statev) ! end if ! ! ! ! ! ! return end subroutine solve ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! Semi-implicit / Explicit state update rule ! Solution using state variables at the former time step subroutine CP_Dunne(matid, phaid, + nslip, nscrew, mattemp, Cs, gf, G12, + burgerv, cubicslip, caratio, + F, Fp_t, gmatinv_t, Eec_t, + gammadot_t, gammasum_t, + totgammasum_t, evmp_t, plasdiss_t, + sigma0, tau0, + sigmatr, forestproj, slip2screw, + Schmid, Schmidvec, SchmidxSchmid, + slipmodel, slipparam, + creepmodel, creepparam, + irradiationmodel, irradiationparam, + hardeningmodel, hardeningparam, + backstressparam, + sintmat1, sintmat2, + hintmat1, hintmat2, + tauceff_t, tauc_t, rhotot_t, + sumrhotot_t, ssdtot_t, rhofor_t, + forest_t, substructure_t, + gnd_t, ssd_t, loop_t, X_t, + dt, L, W, dstran, + Fp, gmatinv, Eec, + gammadot, gammasum, totgammasum, + evmp, plasdiss, theta, + tauceff, tauc, tausolute, + ssdtot, ssd, loop, X, + forest, substructure, + sigma, jacobi, cpconv) ! use globalvariables, only : I3, I6, smallnum ! use userinputs, only : maxniter, maxnparam, maxnloop, + tauctolerance , SVDinversion, + backstressmodel, stateupdate, inversebackup ! use innerloop, only : Dunne_innerloop, Hardie_innerloop ! use utilities, only : vecmat6, matvec6, + nolapinverse, deter3x3, inv3x3, trace3x3, + vecmat9, matvec9, nolapinverse, SVDinverse, + polar ! ! use hardening, only: hardeningrules ! use backstress, only: backstressmodel1 ! use crss, only: slipresistance, totalandforest ! use errors, only : error ! implicit none ! ! ! INPUTS ! ! material-id integer, intent(in) :: matid ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! number of screw sytems integer, intent(in) :: nscrew ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! geometric factor real(8), intent(in) :: gf ! elastic shear modulus real(8), intent(in) :: G12 ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! mechanical deformation gradient real(8), intent(in) :: F(3,3) ! plastic part of the deformation gradient at former time step real(8), intent(in) :: Fp_t(3,3) ! Crystal to sample transformation martrix at former time step real(8), intent(in) :: gmatinv_t(3,3) ! Lattice strains real(8), intent(in) :: Eec_t(6) ! slip rates at the former time step real(8), intent(in) :: gammadot_t(nslip) ! total slip per slip system accumulated over the time ! at the former time step real(8), intent(in) :: gammasum_t(nslip) ! overall total slip at the former time step real(8), intent(in) :: totgammasum_t ! Von-Mises equivalent total plastic strain at the former time step real(8), intent(in) :: evmp_t ! Plastic dissipation power density at the former time step real(8), intent(in) :: plasdiss_t ! Cauchy stress guess real(8), intent(in) :: sigma0(6) ! rss guess real(8), intent(in) :: tau0(nslip) ! trial stress real(8), intent(in) :: sigmatr(6) ! Forest projections real(8), intent(in) :: forestproj(nslip,nslip+nscrew) ! Forest projections real(8), intent(in) :: slip2screw(nscrew,nslip) ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! creep model no. integer, intent(in) :: creepmodel ! creep model parameters real(8), intent(in) :: creepparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! hardening model no. integer, intent(in) :: hardeningmodel ! hardening model parameters real(8), intent(in) :: hardeningparam(maxnparam) ! backstress model parameters real(8), intent(in) :: backstressparam(maxnparam) ! ! Interaction matrices ! Strength interaction between dislocations real(8), intent(in) :: sintmat1(nslip,nslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(in) :: sintmat2(nslip,nslip) ! Latent hardening real(8), intent(in) :: hintmat1(nslip,nslip) ! Hardening interaction matrix between dislocations real(8), intent(in) :: hintmat2(nslip,nslip) ! ! ! overall crss real(8), intent(in) :: tauceff_t(nslip) ! crss at former time step real(8), intent(in) :: tauc_t(nslip) ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: rhotot_t(nslip) ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: sumrhotot_t ! total dislocation density over all slip systems at the former time step real(8), intent(in) :: ssdtot_t ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor_t(nslip) ! forest dislocation density per slip system at the former time step (hardening model = 4) real(8), intent(in) :: forest_t(nslip) ! substructure dislocation density at the former time step real(8), intent(in) :: substructure_t ! statistically-stored dislocation density per slip system at the former time step real(8), intent(in) :: gnd_t(nslip+nscrew) ! statistically-stored dislocation density per slip system at the former time step real(8), intent(in) :: ssd_t(nslip) ! loop defect density per slip system at the former time step real(8), intent(in) :: loop_t(maxnloop) ! backstress at former time step real(8), intent(in) :: X_t(nslip) ! time increment real(8), intent(in) :: dt ! total velocity gradient at the current time step real(8), intent(in) :: L(3,3) ! total spin real(8), intent(in) :: W(3,3) ! mechanical strain increment real(8), intent(in) :: dstran(6) ! ! ! ! OUTPUTS ! ! plastic part of the deformation gradient real(8), intent(out) :: Fp(3,3) ! Crystal to sample transformation martrix at current time step real(8), intent(out) :: gmatinv(3,3) ! Green-Lagrange strains in the crystal reference real(8), intent(out) :: Eec(6) ! slip rates at the current time step real(8), intent(out) :: gammadot(nslip) ! total slip per slip system accumulated over the time ! at the current time step real(8), intent(out) :: gammasum(nslip) ! overall total slip at the current time step real(8), intent(out) :: totgammasum ! Von-Mises equivalent total plastic strain at the current time step real(8), intent(out) :: evmp ! Plastic dissipation power density at the current time step real(8), intent(out) :: plasdiss ! Scalar measure for rotation real(8), intent(out) :: theta ! Current values of state variables ! overall crss real(8), intent(out) :: tauceff(nslip) ! crss at the current time step real(8), intent(out) :: tauc(nslip) ! solute strength due to irradiation hardening real(8), intent(out) :: tausolute ! total dislocation density over all slip systems at the current time step real(8), intent(out) :: ssdtot ! forest dislocation density per slip system at the current time step real(8), intent(out) :: forest(nslip) ! substructure dislocation density at the current time step real(8), intent(out) :: substructure ! statistically-stored dislocation density per slip system at the current time step real(8), intent(out) :: ssd(nslip) ! loop defect density per slip system at the current time step real(8), intent(out) :: loop(maxnloop) ! crss at the current time step real(8), intent(out) :: X(nslip) ! Cauchy stress real(8), intent(out) :: sigma(6) ! material tangent real(8), intent(out) :: jacobi(6,6) ! convergence flag integer, intent(out) :: cpconv ! ! ! ! Local variables used within this subroutine ! ! inverse of the mechanical deformation gradient real(8) detF,invF(3,3) ! plastic velocity gradient for slip real(8) Lp_s(3,3), Dp_s(3,3) ! plastic velocity gradient for creep real(8) Lp_c(3,3), Dp_c(3,3) ! plastic velocity gradient real(8) Lp(3,3), Dp(3,3) ! plastic tangent stiffness for slip real(8) Pmat_s(6,6) ! plastic tangent stiffness for creep real(8) Pmat_c(6,6) ! tangent matrix for NR iteration real(8) Pmat(6,6) ! slip rates for slip real(8) gammadot_s(nslip) ! slip rates for creep real(8) gammadot_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtau_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtau_c(nslip) ! derivative of slip rates wrto crss for slip real(8) dgammadot_dtauc_s(nslip) ! derivative of slip rates wrto crss for creep real(8) dgammadot_dtauc_c(nslip) ! ! ! rss at the former time step real(8) :: tau(nslip) ! absolute RSS and sign (used in Hardie scheme) real(8) :: abstau(nslip), signtau(nslip) ! ! trial absolute RSS and sign (used in Hardie scheme) real(8) :: tautr(nslip), abstautr(nslip), signtautr(nslip) ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8) :: dpsi_dsigma(6,6), invdpsi_dsigma(6,6) ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psi(6) ! ! Von-Mises equivalent plastic strain rate and increment real(8) :: pdot ! ! stress increment real(8) :: dsigma(6) ! ! stress 3x3 matrix real(8) :: sigma33(3,3) ! ! plastic part of the deformation gradient real(8) :: detFp, invFp(3,3) ! ! plastic part of the velocity gradient at the intermediate config. real(8) :: Lp0(3,3) ! ! elastic part of the deformation gradient real(8) :: Fe(3,3) ! elastic stretch and rotation real(8) :: Re(3,3), Ue(3,3) ! ! elastic part of the velocity gradient real(8) :: Le(3,3) ! ! elastic spin real(8) :: We(3,3) ! ! increment in rotation matrix real(8) :: dR(3,3) ! ! Von-Mises stress real(8) :: sigmaii, vms, sigmadev(3,3) ! ! Co-rotational stress update real(8) :: dotsigma33(3,3) ! ! Cauchy stress at former time step in 3x3 real(8) :: sigma33_t(3,3) ! ! Total mechanical strain increment real(8) :: dstran33(3,3) ! ! plastic strain increment real(8) :: dstranp33(3,3) ! ! elastic strain increment real(8) :: dstrane33(3,3) ! ! crss increment real(8) :: dtauc(nslip) ! ! ! ssd density increment real(8) :: dssd(nslip) ! ! ssd density increment real(8) :: dloop(maxnloop) ! ! backstress increment real(8) :: dX(nslip) ! ! total ssd density increment real(8) :: dssdtot ! ! forest dislocation density increment real(8) :: dforest(nslip) ! ! substructure dislocation density increment real(8) :: dsubstructure ! ! Residues real(8) :: dtauceff(nslip), tauceff_old(nslip) ! ! ! overall forest density real(8) :: rhofor(nslip) ! ! overall total density real(8) :: rhotot(nslip) ! ! overall total scalar density real(8) :: sumrhotot ! ! Overall residue real(8) :: dtauceffnorm ! ! error flag for svd inversion integer :: err ! ! other variables real(8) :: dummy3(3), dummy33(3,3), + dummy33_(3,3), dummy6(6), dummy0 integer :: is, il, iter, oiter integer :: iterinverse ! ! ! Set convergence flag to "converged" cpconv = 1 ! ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigma0 tau = tau0 ! ! ! State assignments gammasum=gammasum_t tauc = tauc_t tauceff = tauceff_t ssdtot = ssdtot_t ssd = ssd_t loop = loop_t rhofor = rhofor_t X = X_t forest = forest_t substructure = substructure_t ! ! Reset variables for the inner iteration oiter = 0 dtauceffnorm = 1. ! ! ! Outer loop for state update do while ((dtauceffnorm >= tauctolerance) +.and.(oiter < maxniter).and.(cpconv==1)) ! ! ! ! call Dunne_innerloop( + Schmid,SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! ! ! convergence check if (iter == maxniter) then ! did not converge cpconv = 0 end if ! ! ! Check for NaN in the slip rate vector if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 endif ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 endif ! ! Check for NaN in the stress vector if(any(sigma/=sigma)) then ! did not converge cpconv = 0 endif ! ! ! Inverse scheme start here!!! ! Try inverse scheme if not converged if ((cpconv==0).and.(inversebackup==1)) then ! ! Reset convergence flag cpconv=1 ! ! Calculate trial-resolved shear stress on slip systems ! Absolute value of trial-RSS and its sign do is = 1, nslip tautr(is)=dot_product(Schmidvec(is,:),sigmatr)-X_t(is) signtautr(is)=sign(1.0,tautr(is)) abstautr(is)=abs(tautr(is)) end do ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigma0 tau = tau0 ! Absolute value of RSS and its sign do is = 1, nslip signtau(is) = sign(1.0,tau0(is)) abstau(is) = abs(tau0(is)) end do ! ! Reverse slip scheme call Hardie_innerloop( + Schmid,SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + irradiationmodel, + irradiationparam, + dt,sigmatr, + abstautr,signtautr, + tauceff,rhofor,X, + sigma,iterinverse) ! ! ! ! ! Recalculate RSS on slip systems ! RSS and its sign do is = 1, nslip tau(is) = dot_product(Schmidvec(is,:),sigma) end do ! ! ! Call the Dunne solver again call Dunne_innerloop( + Schmid,SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! ! assign jacobi and stress if (cpconv == 0) then return end if ! end if ! End of inverse solution ! ! ! ! Calculate Von Mises invariant plastic strain rate pdot=sqrt(2./3.*sum(Dp*Dp)) ! ! ! Total plastic strain increment evmp = evmp_t + pdot*dt ! ! Total slip over time per slip system gammasum = 0. do is = 1, nslip ! gammasum(is) = gammasum_t(is) + + gammadot(is)*dt ! enddo ! ! ! Total slip totgammasum = totgammasum_t + + sum(abs(gammadot))*dt ! ! ! ! convergence check if (iter == maxniter) then ! did not converge cpconv = 0 return end if ! ! ! ! Check for NaN in the slip rate vector if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 return endif ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 return endif ! ! Check for NaN in the stress vector if(any(sigma/=sigma)) then ! did not converge cpconv = 0 return endif ! ! ! ! ! ! ! ! ! Update the states using hardening laws call hardeningrules(phaid,nslip, + mattemp,dt,G12,burgerv, + totgammasum,gammadot,pdot, + irradiationmodel,irradiationparam, + hardeningmodel,hardeningparam, + hintmat1,hintmat2, + tauc_t,ssd_t,loop_t, + rhofor_t,rhotot_t,substructure_t, + tausolute,dtauc,dssdtot,dforest, + dsubstructure,dssd,dloop) ! ! ! ! ! Update the hardening states ! tauc = tauc_t + dtauc ! ssd = ssd_t + dssd ! loop = loop_t + dloop ! ssdtot = ssdtot_t + dssdtot ! forest = forest_t + dforest ! substructure = substructure_t + dsubstructure ! ! ! ! Recalculate total and forest density call totalandforest(phaid, + nscrew, nslip, gnd_t, + ssd, ssdtot, forest, + forestproj, slip2screw, rhotot, + sumrhotot, rhofor) ! ! ! ! Store the former value of effective tauc tauceff_old = tauceff ! ! Recalculate slip resistance for the next iteration ! Calculate crss call slipresistance(phaid, nslip, + gf, G12, burgerv, sintmat1, sintmat2, + tauc, rhotot, sumrhotot, rhofor, + substructure, tausolute, loop, + hardeningmodel, hardeningparam, + irradiationmodel, irradiationparam, + mattemp, tauceff) ! ! ! Calculate the change of state ! with respect to the former increment dtauceff = abs(tauceff-tauceff_old) ! ! Explicit state update if (stateupdate==0) then dtauceffnorm = 0. ! Semi-implicit state update elseif (stateupdate==1) then dtauceffnorm = maxval(dtauceff) end if ! ! ! ! Check if the statevariables going negative due to softening ! This may happen at high temperature and strain rates constants going bad if(any(tauc < 0.)) then ! did not converge cpconv = 0 return endif ! if(any(ssd < 0.)) then ! did not converge cpconv = 0 return endif ! ! Loop density set to zero if negative do il = 1, maxnloop if(loop(il) < 0.) then ! loop(il) = 0. ! endif enddo ! ! if(any(forest < 0.)) then ! did not converge cpconv = 0 return endif ! if(substructure < 0.) then ! did not converge cpconv = 0 return endif ! ! ! Update backstress if local model is selected if (backstressmodel==1) then ! call backstressmodel1(backstressparam, + nslip,X,gammadot,dt,dX) ! ! Update the backstress X = X_t + dX ! end if ! ! ! increment iteration no. oiter = oiter + 1 ! ! End of state update (outer loop) end do ! ! ! ! convergence check if (oiter == maxniter) then ! did not converge cpconv = 0 return end if ! ! ! ! ! calculate jacobian jacobi = matmul(invdpsi_dsigma,Cs) ! ! ! ! Check for NaN in the jacobi matrix if(any(jacobi/=jacobi)) then ! did not converge cpconv = 0 return endif ! ! ! ! ! convert it to 3x3 marix call vecmat6(sigma,sigma33) ! ! Trace of stress call trace3x3(sigma33,sigmaii) ! ! deviatoric stress sigmadev = sigma33 - sigmaii*I3/3. ! ! Von-Mises stress vms = sqrt(3./2.*(sum(sigmadev*sigmadev))) ! ! ! Integration method for Fp ! ! invert the total mechanical deformation gradient call inv3x3(F,invF,detF) ! ! Check for zero determinant if (detF==0.0d+0) then ! did not converge cpconv = 0 return endif ! ! Correction for the velocity gradient for deformed configuration Lp0 = matmul(invF,matmul(Lp,F)) ! dummy33 = I3 + Lp0*dt ! ! plastic part of the deformation gradient Fp = matmul(Fp_t,dummy33) ! ! determinant call deter3x3(Fp,detFp) ! ! check wheter the determinant is negative ! or close zero if (detFp <= smallnum) then ! did not converge cpconv = 0 return else ! Scale Fp with its determinant to make it isochoric Fp = Fp / detFp**(1./3.) ! end if ! ! ! ! Elastic part of the deformation field call inv3x3(Fp,invFp,detFp) Fe = matmul(F,invFp) ! ! Polar decomposition call polar(Fe,Re,Ue) ! ! Trace call trace3x3(Re,theta) ! ! Lattice rotation theta = acos((theta-1.)/2.) ! ! Elastic part of the velocity gradient Le = L - Lp ! ! Elastic spin We = (Le - transpose(Le)) / 2. ! ! !! UMAT DOES THE ROTATION UPDATE ITSELF !! THERE IS NO NEED FOR THE ROTATION CORRECTION! !! stress rate due to spin ! dotsigma33 = matmul(W,sigma33) - matmul(sigma33,W) !! !! !! Update co-rotational sress state ! sigma33 = sigma33 + dotsigma33*dt !! !! !! Vectorize stress ! call matvec6(sigma33,sigma) ! ! ! ! ! ! Orientation update ! ! Intermediate variable dR = I3 + We*dt ! ! ! ! ! Update the crystal orientations gmatinv = matmul(dR, gmatinv_t) ! ! ! ! ! Undo shear corrections dummy6 = dstran dummy6(4:6) = 0.5*dummy6(4:6) ! ! Convert the strain into matrix call vecmat6(dummy6,dstran33) ! ! Elastic strain increment dstrane33 = dstran33-dstranp33 ! ! Elastic strains in the crystal reference dummy33_ = matmul(transpose(gmatinv),dstrane33) dummy33 = matmul(dummy33_,gmatinv) ! ! Vectorize call matvec6(dummy33,dummy6) ! ! Shear corrections dummy6(4:6) = 2.0*dummy6(4:6) ! ! Add the strain increment to the former value Eec=Eec_t+dummy6 ! ! ! Plastic dissipation power density plasdiss=0. do is = 1, nslip ! plasdiss = plasdiss + + tau(is)*gammadot(is)*dt ! enddo ! ! ! Sum over the fomer value plasdiss = plasdiss_t + plasdiss ! ! ! ! ! ! ! ! ! ! ! return end subroutine CP_Dunne ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! Implicit state update rule ! Solution using the updated state variables subroutine rotateslipsystems(iphase,nslip,caratio, + gmatinv,dirc,norc,dirs,nors) implicit none integer, intent(in) :: iphase integer, intent(in) :: nslip real(8), intent(in) :: caratio real(8), intent(in) :: gmatinv(3,3) real(8), intent(in) :: dirc(nslip,3) real(8), intent(in) :: norc(nslip,3) real(8), intent(out) :: dirs(nslip,3) real(8), intent(out) :: nors(nslip,3) ! integer :: i, is real(8) :: tdir(3), tnor(3) real(8) :: tdir1(3), tnor1(3) real(8) :: dirmag, normag ! dirs=0.;nors=0. ! ! do is=1,nslip ! rotate slip directions ! tdir = dirc(is,:) tnor = norc(is,:) ! ! ! tdir1 = matmul(gmatinv,tdir) tnor1 = matmul(gmatinv,tnor) ! dirmag = norm2(tdir1) normag = norm2(tnor1) ! ! dirs(is,:) = tdir1/dirmag nors(is,:) = tnor1/normag ! ! end do ! ! ! ! return end subroutine rotateslipsystems ! ! ! ! ! ! ! ! ! ! ! ! ! end module cpsolver ================================================ FILE: OXFORD-UMAT v3.3/creep.f ================================================ ! Oct. 6th, 2022 ! Eralp Demir ! Creep laws ! 1. exponential law (used for Ni-superalloy) ! module creep implicit none contains ! ! subroutine expcreep( + Schmid,SchmidxSchmid,tau,X,tauc, + dtime,nslip,iphase,T,creepparam,slipsysplasstran, + Lp,Dp,Pmat,gammadot,dgammadot_dtau,dgammadot_dtauc) ! use globalvariables, only : Rgas use utilities, only : gmatvec6 use userinputs, only: maxnparam implicit none ! Schmid tensor - deformed real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! time increment real(8), intent(in) :: dtime ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: creepparam(maxnparam) ! accumulated plastic strain on each slip system, signed real(8), intent(in) :: slipsysplasstran(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! variables used within this subroutine real(8) :: gammadotc, gammadotd, bc, bd, Qc, Qd real(8) :: abstau, signtau integer :: is ! ! ! ! ! Obtain creep parameters ! reference creep rate (1/s) gammadotc = creepparam(1) ! creep stress multiplier (1/MPa) bc = creepparam(5) ! activation energy for creep (J/mol) Qc = creepparam(3) ! reference damage rate (1/s) gammadotd = creepparam(4) ! damage stress multiplier (1/MPa) bd = creepparam(5) ! activation energy for damage (J/mol) Qd = creepparam(6) ! ! ! Pmat = 0.; Lp = 0.; Dp = 0. ! gammadot=0. dgammadot_dtau=0. dgammadot_dtauc=0. ! ! ! ! contribution to Lp of all slip systems do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! This statement is redundant so commented out! ! if (abstau > 0.0) then ! ! gammadot(is) = + signtau*gammadotc*exp(bc*abstau-Qc/Rgas/T) + + signtau*abs(slipsysplasstran(is))*gammadotd* + exp(bd*abstau-Qd/Rgas/T) ! dgammadot_dtau(is) = gammadotc*bc* + exp(bc*abstau-Qc/Rgas/T) + + abs(slipsysplasstran(is))* + gammadotd*bd*exp(bd*abstau-Qd/Rgas/T) ! ! ! ! ! contribution to Jacobian Pmat = Pmat + dtime*dgammadot_dtau(is) + *SchmidxSchmid(is,:,:) ! ! plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! ! ! ! endif ! ! ! end do ! ! ! ! ! Find plastic flow direction Dp = (Lp + transpose(Lp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! ! ! end subroutine expcreep ! ! ! ! ! end module creep ================================================ FILE: OXFORD-UMAT v3.3/crss.f ================================================ ! Oct. 03rd, 2022 ! Eralp Demir ! module crss implicit none contains ! ! ******************************************************** ! ** crss calculates the crss of slip systems ** ! ******************************************************** subroutine slipresistance(iphase,nslip,gf,G12, + burgerv,sintmat1,sintmat2, + tauc0,rhotot,sumrhotot,rhofor, + rhosub,tausolute,loop, + hardeningmodel, hardeningparam, + irradiationmodel,irradiationparam, + temperature, + tauc) use userinputs, only: useaveragestatevars, + maxnloop, maxnparam implicit none ! ! crystal type integer,intent(in) :: iphase ! ! number of slip systems integer,intent(in) :: nslip ! ! geometric factor real(8),intent(in) :: gf ! ! shear modulus for taylor dislocation law real(8),intent(in) :: G12 ! ! burgers vectors real(8),intent(in) :: burgerv(nslip) ! ! Strength interaction matrices ! Strength interaction between dislocations real(8), intent(in) :: sintmat1(nslip,nslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(in) :: sintmat2(nslip,nslip) ! ! ! critical resolved shear stress of slip systems real(8),intent(in) :: tauc0(nslip) ! ! total dislocation density (immobile) real(8),intent(in) :: rhotot(nslip) ! ! total scalar dislocation density (immobile) real(8),intent(in) :: sumrhotot ! ! forest dislocation density real(8),intent(in) :: rhofor(nslip) ! ! substructure dislocation density real(8),intent(in) :: rhosub ! ! increase in tauc due to solute force real(8),intent(in) :: tausolute ! ! increase in tauc due to loop defects real(8),intent(in) :: loop(maxnloop) ! ! hardeningmodel integer,intent(in) :: hardeningmodel ! ! hardening model parameters real(8),intent(in) :: hardeningparam(maxnparam) ! ! activate irradiation effect integer,intent(in) :: irradiationmodel ! ! irradiation model parameters real(8),intent(in) :: irradiationparam(maxnparam) ! ! current temperature real(8),intent(in) :: temperature ! ! critical resolved shear stress of slip systems real(8),intent(out) :: tauc(nslip) ! ! variables used in this subroutine integer :: is, il, nloop real(8) :: Ploop(nslip) ! ! Subtructure density real(8) :: tausub(nslip) ! Substructure factor real(8) :: ksub ! ! Precipitate strengthening parameters ! Strength factor / geometric factor real(8) :: gfp ! Number density of precipitates [1/mm^3] real(8) :: rhop ! Particle diameter [mm] real(8) :: Dp ! ! ! Reset the density of loops Ploop = 0. ! ! Reset Substructure density tausub = 0. ! ! Precipitate parameters ! Vikram Phalke (UKAEA) - Cu or CuCrZr ! Precipitate strength for hardening model-5 if (hardeningmodel==5) then ! Precipitate strength parameters gfp=hardeningparam(5) rhop=hardeningparam(6) Dp=hardeningparam(7) ! Vikram Phalke (UKAEA) - Cu or CuCrZr ! Precipitate strength for hardening model-5 elseif (hardeningmodel==7) then gfp=hardeningparam(5) rhop=hardeningparam(4)**(2./3.)! Note the exponent for hardening model-7! Dp=1. ! No precipatate hardening else gfp=0.; rhop=0.; Dp=0. end if ! ! ! ! ! If irradiation model-2 is set ON ! Compute the strength contribution if (irradiationmodel==2) then ! ! Number of defects nloop = int(irradiationparam(1)) ! do is = 1, nslip ! ! do il = 1, 3 ! Ploop(is) = Ploop(is) + + sintmat2(is,il)**2. * loop(il) ! end do ! end do ! ! ! end if ! ! ! ! ! ! ! ! Check crystal type ! Only for alpha-uranium there is an exception ! ! ! ! Defined by data fitting ! as a function of rhofor, rhosub, and temperature if (iphase == 4) then ! ! alpha-uranium model with forest and substructure dislocations ! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tome ! Deformation of wrought uranium: experiments and modeling ! Acta Materialia 58 (2010) 5447–5459 tauc(1) = tauc0(1) + 19.066 * dsqrt(rhofor(1)) + + 1.8218 * dsqrt(rhosub) * + log(1. / burgerv(1) / dsqrt(rhosub)) tauc(2) = tauc0(2) + 18.832 * dsqrt(rhofor(2)) + + 1.7995 * dsqrt(rhosub) * + log(1. / burgerv(2) / dsqrt(rhosub)) tauc(3) = tauc0(3) + 54.052 * dsqrt(rhofor(3)) + + 5.1650 * dsqrt(rhosub) * + log(1. / burgerv(3) / dsqrt(rhosub)) tauc(4) = tauc0(4) + 54.052 * dsqrt(rhofor(4)) + + 5.1650 * dsqrt(rhosub) * + log(1. / burgerv(4) / dsqrt(rhosub)) tauc(5) = tauc0(5) + 123.357 * dsqrt(rhofor(5)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(5) / dsqrt(rhosub)) tauc(6) = tauc0(6) + 123.357 * dsqrt(rhofor(6)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(6) / dsqrt(rhosub)) tauc(7) = tauc0(7) + 123.357 * dsqrt(rhofor(7)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(7) / dsqrt(rhosub)) tauc(8) = tauc0(8) + 123.357 * dsqrt(rhofor(8)) + + 11.7875 * dsqrt(rhosub) * + log(1. / burgerv(8) / dsqrt(rhosub)) ! ! zecevic 2016 temperature dependence tauc(1) = tauc(1) * dexp(-(temperature-293.0)/140.0) tauc(2) = tauc(2) * dexp(-(temperature-293.0)/140.0) tauc(3) = tauc(3) * dexp(-(temperature-293.0)/140.0) tauc(4) = tauc(4) * dexp(-(temperature-293.0)/140.0) tauc(5) = tauc(5) * dexp(-(temperature-293.0)/140.0) tauc(6) = tauc(6) * dexp(-(temperature-293.0)/140.0) tauc(7) = tauc(7) * dexp(-(temperature-293.0)/140.0) tauc(8) = tauc(8) * dexp(-(temperature-293.0)/140.0) ! ! daniel, lesage, 1971 minimum value as minima tauc(1) = max(tauc(1),4.0) tauc(2) = max(tauc(2),4.0) tauc(3) = max(tauc(3),4.0) tauc(4) = max(tauc(4),4.0) tauc(5) = max(tauc(5),4.0) tauc(6) = max(tauc(6),4.0) tauc(7) = max(tauc(7),4.0) tauc(8) = max(tauc(8),4.0) ! ! ! ! For any other phase ! Use forest/total dislocation spacing to determine the strength ! else ! ! Substructure density if (hardeningmodel==4) then ! do is = 1, nslip ksub = hardeningparam(9) tausub(is) = ksub*G12*burgerv(is)* + dsqrt(rhosub) *dlog(1./burgerv(is)/dsqrt(rhosub)) end do ! end if ! ! if (useaveragestatevars == 0) then ! do is = 1, nslip ! ! !! Taylor strength - total density / backstress ! tauc(is) = tauc0(is) + ! + G12*burgerv(is)*dsqrt(gf**2.*rhotot(is) + Ploop(is)) ! ! ! Taylor strength - forest spacing / cut-through tauc(is) = tauc0(is) + + G12*burgerv(is)*dsqrt(gf**2.*rhofor(is) + + Ploop(is) + gfp**2.*rhop*Dp) ! ! ! Add the effect of substructure density tauc(is) = tauc(is) + tausub(is) ! end do ! ! ! elseif (useaveragestatevars == 1) then ! ! do is = 1, nslip ! ! Taylor strength - total density tauc(is) = tauc0(is) + + G12*burgerv(is)*dsqrt(gf**2.*sumrhotot + + Ploop(is) + gfp**2.*rhop*Dp) ! ! !! Taylor strength - total density ! tauc(is) = tauc0(is)*(1.-X) + ! + G12*burgerv(is)*dsqrt(X*tauc0(is)/G12/burgerv(is) + ! + gf**2.*rhotot + Ploop(is)) ! ! ! Add the effect of substructure density tauc(is) = tauc(is) + tausub(is) ! end do ! endif ! ! ! ! ! ! ! end if ! check crystal type ! ! ! ! Effect of irradiation ! True for all crystal types if (irradiationmodel == 1) then tauc = tauc + tausolute end if ! ! ! return ! end subroutine slipresistance ! ! ! ! Calculates the total and forest density ! from SSD and GND densities using summation ! and forest projections subroutine totalandforest(iphase, nscrew, nslip, + gnd, ssd, ssdtot, forest, forestproj, slip2screw, + rhotot, sumrhotot, rhofor) use utilities, only : vecprod implicit none integer, intent(in) :: iphase integer, intent(in) :: nscrew integer, intent(in) :: nslip real(8), intent(in) :: gnd(nslip+nscrew) real(8), intent(in) :: ssd(nslip) real(8), intent(in) :: ssdtot real(8), intent(in) :: forest(nslip) real(8), intent(in) :: forestproj(nslip,nslip+nscrew) real(8), intent(in) :: slip2screw(nscrew,nslip) real(8), intent(out) :: rhotot(nslip) real(8), intent(out) :: sumrhotot real(8), intent(out) :: rhofor(nslip) ! ! local variables ! real(8) vec(3) integer i, j ! ! ! ! ! ! Compute forest density ! Add gnd and sdd contributions (if exist) ! Forest projections rhofor = forest + matmul(forestproj, abs(gnd)) + + matmul(forestproj(1:nslip,1:nslip), ssd) + ! edges + matmul(forestproj(1:nslip,nslip+1:nslip+nscrew), + matmul(slip2screw,ssd)) ! screws ! ! rhotot = ssd + + abs(gnd(1:nslip)) + ! edges + matmul(transpose(slip2screw), abs(gnd(nslip+1:nslip+nscrew))) ! screws ! ! ! ! Scalar sum sumrhotot = sqrt(sum(gnd*gnd)) + ssdtot ! ! return end subroutine totalandforest ! end module crss ================================================ FILE: OXFORD-UMAT v3.3/errors.f ================================================ ! Sept. 26th, 2022 ! Eralp Demir ! ! This is written point the user to the sources of errors ! module errors implicit none ! contains ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine error(errorid) implicit none ! ! ! integer :: errorid ! ! ! Message only when exiting the subroutine ! if(errorid.eq.1) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-001: Material-ID is out of range (1-9). + Pls. check materials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.2) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-002: Element type is not defined! + Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.3) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-003: "cubicslip" integer parameter is not + properly defined. Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.4) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-004: phase id of the material is not + within the possible limits!. Pls. check PROPS variable!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.5) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-005: "temperatureflag" is not + within the possible limits. Pls. check userinputs.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.6) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-006: "NSTATV" is less than the + defined outputs. + Pls. check DEPVAR in ABAQUS!' write(*,*) 'Exiting!' write(*,*) '*******************************************' else if (errorid.eq.7) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-007: GND calculation is not possible + for the selected element type. + Pls. change the element type in ABAQUS!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.8) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-008: Zero activation volume! + Pls. check the slip parameters and make sure that the + initial dislocation density has non-zero value + in usermaterials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit else if (errorid.eq.9) then write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-009: Could not read the element type + and the total number of elements from *.INP file. + Pls. check the file name in usermaterials.f!' write(*,*) 'Exiting!' write(*,*) '*******************************************' else if (errorid.eq.10) then ! write(*,*) '*******************ERROR*******************' ! write(*,*) 'ERROR-010: "Bmat" for L2 method ! + is not invertible. ! + GND model will give zero GND densities!.' ! write(*,*) '*******************************************' else if (errorid.eq.11) then ! write(*,*) '******************WARNING******************' ! write(*,*) 'ERROR-006: WARNING DFGRD1 = NaN!' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '*******************************************' else if (errorid.eq.12) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-012: Lp iteration did not converge' ! write(*,*) 'Using forward-gradient Euler predictor' ! write(*,*) '**********************************************' else if (errorid.eq.13) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-013: singular matrix in Lp iteration' ! write(*,*) 'Will continue if alternate solution exists!' ! write(*,*) '**********************************************' else if (errorid.eq.14) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-014: forward-gradient Euler predictor ! + did not converge or it does not exist' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.15) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-015: tmat array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.16) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-016: NR scheme reached maximum number of ! + iterations' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.17) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-017: stress array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.18) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-018: jacobian array contains NaN elements' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.19) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-019: det(Fp) is close to zero' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.20) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-020: det(Fe) is close to zero' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.21) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-021: state variables become negative' ! write(*,*) 'Cut-back time by one-half!' ! write(*,*) '**********************************************' else if (errorid.eq.22) then ! write(*,*) '******************WARNING********************' ! write(*,*) 'ERROR-022: inversion in predictor did not work' ! write(*,*) '' ! write(*,*) '**********************************************' else write(*,*) '*******************ERROR*******************' write(*,*) 'ERROR-???: Unknown error!' write(*,*) 'Exiting!' write(*,*) '*******************************************' call xit end if ! ! return end subroutine error ! ! ! end module errors ================================================ FILE: OXFORD-UMAT v3.3/globalvariables.f ================================================ ! Sept. 20th, 2022 ! Eralp Demir ! University of Oxford ! ! Global variables used within the code module globalvariables implicit none ! ! ! ! MATERIAL-LINKED GLOBAL VARIABLES ! ------------------------------------------------------------------------------- ! Global variable for Euler angles real(8), allocatable, public :: Euler(:,:) ! Global variable storing grain id ! Different grains can be present in the mesh integer, allocatable, public :: featureid(:,:) ! ! Global variable storing material id integer, allocatable, public :: materialid(:,:) ! ! Different phases can be present in the mesh integer, allocatable, public :: phaseid(:,:) ! ! ! ! Global variable storing phase-id ! This refers to the crystal structure ! Different phases can be present in the mesh integer, allocatable, public :: phaseid_all(:) ! ! Global variable for number of slip systems ! Number of slip systems could be different for each ip integer, allocatable, public :: numslip_all(:) ! ! Global variable for number of slip systems ! Required for GND calculations ! Number of slip systems could be different for each ip integer, allocatable, public :: numscrew_all(:) ! ! Slip model identifier ! 0: no slip (if only creep is considered) ! 1: sinh law ! 2: double exponent law ! 3: power law integer, allocatable, public :: slipmodel_all(:) ! ! Slip parameters ! Array size adjustable real(8), allocatable, public :: slipparam_all(:,:) ! For sinh law (slipmodel=1) ! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined, ! the alpha calculation will be ignored ! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined, ! the beta calculation will be ignored ! 3: psi / fraction of mobile dislocations / [-] / alpha calculation ! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation ! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation ! 6: nu0 / attempt frequency / [1/s] / alpha calculation ! 7: gamma0 / reference slip strain / [-] / beta calculation ! ! For double exponent law (slipmodel=2) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: p / inner exponent / [-] ! 3: q / outer exponent / [-] ! 4: DeltaFoct / activation energy for octahedral slip / [J/mol] ! 5: DeltaFcub / activation energy for cubic slip / [J/mol] ! ! For power law (slipmodel=3) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: n / power exponent / [-] ! ! ! Creep model identifier ! 0: no creep ! 1: sinh slip strain ! 2: exponential slip strain ! 3: power law slip strain ! 4: sinh slip strain + climb strain ! Default value is set to 0 integer, allocatable, public :: creepmodel_all(:) ! Creep parameters ! Array size adjustable real(8), allocatable, public :: creepparam_all(:,:) ! ! Hardening identifier ! 0: Hardening is off (tauc constant) ! 1: Kocks-Mecking hardening ! 2: Voce type hardening ! Default value is set to 0 integer, allocatable, public :: hardeningmodel_all(:) ! Hardening parameters ! Array size adjustable real(8), allocatable, public :: hardeningparam_all(:,:) ! ! Irradiation identifier ! 0: Irradiaion is off ! 1: Irradiation is on ! Default value is set to 0 integer, allocatable, public :: irradiationmodel_all(:) ! Irradiation model parameters ! Array size adjustable real(8), allocatable, public :: irradiationparam_all(:,:) ! 1: tau_s0: initial solute strength ! 2: gamma_s: saturation value of the cumulative slip ! 3: psi / fraction of mobile density for irradiated material for sinh law ! ! ! Backstress model parameters ! Array size adjustable (maxnmaterial, maxnparam) real(8), allocatable, public :: backstressparam_all(:,:) ! ! The following variables are stored for every element and ip ! INITALLY - only once at the beginning ! This is done for the following reasons ! 1. In order to reduce computation time ! 2. Various materials can be present in the mesh ! ! Global variable for caratio real(8), allocatable, public :: caratio_all(:) ! ! Global variable for cubicslip integer, allocatable, public :: cubicslip_all(:) ! ! Global variable for elasticity in crystal reference real(8), allocatable, public :: Cc_all(:,:,:) ! ! Global variable for geometric factor in Taylor equation real(8), allocatable, public :: gf_all(:) ! ! Global variable for shear modulus real(8), allocatable, public :: G12_all(:) ! ! Global variable for Poisson's ratio real(8), allocatable, public :: v12_all(:) ! ! Global variable for thermal expansion matrix real(8), allocatable, public :: alphamat_all(:,:,:) ! ! Global variable for Burgers vector real(8), allocatable, public :: burgerv_all(:,:) ! ! ! INTERACTION MATRICES ! Global variables for dislocation strength interaction matrix real(8), allocatable, public :: sintmat1_all(:,:,:) ! ! Global variable for dislocation irradiation loop strength interaction matrix real(8), allocatable, public :: sintmat2_all(:,:,:) ! ! Global variable for latent hardening interaction real(8), allocatable, public :: hintmat1_all(:,:,:) ! ! Global variable for dislocation hardening interaction real(8), allocatable, public :: hintmat2_all(:,:,:) ! ! Screw systems integer, allocatable, public :: screw_all(:,:) ! ! ! ! ------------------------------------------------------------------------------- ! ! ! ! ! TIME (SOLUTION) DEPENDENT GLOBAL VARIABLES ! ------------------------------------------------------------------------------- ! time at former time step real(8), public :: time_old ! ! time increment at former time step real(8), public :: dt_t ! ! Global initialization flag for elemental initialization ! Orientation assigment ! Initial slip direction calculations ! Global coordinates integer, allocatable, public :: initialized_firstinc(:,:) ! ! ! Global initialization flag for IP initialization integer, allocatable, public :: ip_init(:,:) ! ! Global one-time initialization flag integer, public :: init_once ! ! Global one-time initialization flag integer, public :: grad_init ! ! Global flag for IP count (10m elements, 100 ips) integer, allocatable, public :: ip_count(:,:) ! ! Crystal orientation at current time step real(8), allocatable, public :: statev_gmatinv(:,:,:,:) ! Crystal orientation at former time step real(8), allocatable, public :: statev_gmatinv_t(:,:,:,:) ! Crystal orientation initially real(8), allocatable, public :: statev_gmatinv_0(:,:,:,:) ! ! Total cumulative Von-Mises equivalent plastic strain at current time step real(8), allocatable, public :: statev_evmp(:,:) ! Total cumulative Von-Mises equivalent plastic strain at former time step real(8), allocatable, public :: statev_evmp_t(:,:) ! ! Plastic dissipation power density at current time step real(8), allocatable, public :: statev_plasdiss(:,:) ! Plastic dissipation power density at former time step real(8), allocatable, public :: statev_plasdiss_t(:,:) ! ! Rotation at current time step at current time step (in radians) real(8), allocatable, public :: statev_theta(:,:) ! Rotation at current time step at former time step (in radians) real(8), allocatable, public :: statev_theta_t(:,:) ! ! Effective critical resolved shear stress at current time step real(8), allocatable, public :: statev_tauceff(:,:,:) ! ! ! Total cumulative slip at current time step real(8), allocatable, public :: statev_totgammasum(:,:) ! Total cumulative slip at former time step real(8), allocatable, public :: statev_totgammasum_t(:,:) ! ! Cumulative slip at current time step real(8), allocatable, public :: statev_gammasum(:,:,:) ! Cumulative slip at former time step real(8), allocatable, public :: statev_gammasum_t(:,:,:) ! ! Slip rates at current time step real(8), allocatable, public :: statev_gammadot(:,:,:) ! Slip rates at former time step real(8), allocatable, public :: statev_gammadot_t(:,:,:) ! ! ! Plastic part of the deformation gradient at current time step real(8), allocatable, public :: statev_Fp(:,:,:,:) ! Plastic part of the deformation gradient at former time step real(8), allocatable, public :: statev_Fp_t(:,:,:,:) ! ! Global variable for the total residual deformation real(8), allocatable, public :: statev_Fr(:,:,:,:) ! ! Thermal part of the deformation gradient at current time step real(8), allocatable, public :: statev_Fth(:,:,:,:) ! Thermal part of the deformation gradient at former time step real(8), allocatable, public :: statev_Fth_t(:,:,:,:) ! ! ! Cauchy stress at current time step real(8), allocatable, public :: statev_sigma(:,:,:) ! Cauchy stress at former time step real(8), allocatable, public :: statev_sigma_t(:,:,:) ! Cauchy stress at previous time step real(8), allocatable, public :: statev_sigma_t2(:,:,:) ! ! Cauchy stress at current time step real(8), allocatable, public :: statev_jacobi(:,:,:,:) ! Cauchy stress at former time step real(8), allocatable, public :: statev_jacobi_t(:,:,:,:) ! ! ! Critical resolved shear stress at current time step real(8), allocatable, public :: statev_tauc(:,:,:) ! Critical resolved shear stress at former time step real(8), allocatable, public :: statev_tauc_t(:,:,:) ! ! maximum of the tau/tauc ratio at current time step real(8), allocatable, public :: statev_maxx(:,:) ! maximum of tau/tauc ratio at former time step real(8), allocatable, public :: statev_maxx_t(:,:) ! ! elastic strains at the crystal ref. at current time step real(8), allocatable, public :: statev_Eec(:,:,:) ! elastic strains at the crystal ref. at former time step real(8), allocatable, public :: statev_Eec_t(:,:,:) ! ! Lattice curvature at current time step real(8), allocatable, public :: statev_curvature(:,:,:) ! ! Incompatibility at current time step real(8), allocatable, public :: statev_Lambda(:,:,:) ! Incompatibility at former time step real(8), allocatable, public :: statev_Lambda_t(:,:,:) ! ! GND density per slip system at current time step real(8), allocatable, public :: statev_gnd(:,:,:) ! GND density per slip system at former time step real(8), allocatable, public :: statev_gnd_t(:,:,:) ! GND density per slip system initially - EBSD import real(8), allocatable, public :: statev_gnd_0(:,:,:) ! ! SSD density per slip system at current time step real(8), allocatable, public :: statev_ssd(:,:,:) ! SSD density per slip system at former time step real(8), allocatable, public :: statev_ssd_t(:,:,:) ! ! Total SSD density at current time step real(8), allocatable, public :: statev_ssdtot(:,:) ! Total SSD density at former time step real(8), allocatable, public :: statev_ssdtot_t(:,:) ! ! Forest dislocation density per slip system at current time step real(8), allocatable, public :: statev_forest(:,:,:) ! Forest dislocation density per slip system at former time step real(8), allocatable, public :: statev_forest_t(:,:,:) ! ! Substructure dislocation density for irradiation per slip system at current time step real(8), allocatable, public :: statev_substructure(:,:) ! Substructure dislocation density for irradiation per slip system at former time step real(8), allocatable, public :: statev_substructure_t(:,:) ! ! Solute strength for irradiation per slip system at current time step real(8), allocatable, public :: statev_tausolute(:,:) ! Solute strength for irradiation per slip system at former time step real(8), allocatable, public :: statev_tausolute_t(:,:) ! ! ! Defect loop density for irradiation per slip system at current time step real(8), allocatable, public :: statev_loop(:,:,:) ! Defect loop for irradiation per slip system at former time step real(8), allocatable, public :: statev_loop_t(:,:,:) ! ! Backstress per slip system at current time step real(8), allocatable, public :: statev_backstress(:,:,:) ! Backstress per slip system at former time step real(8), allocatable, public :: statev_backstress_t(:,:,:) ! ! ------------------------------------------------------------------------------- ! ! ! ! MESH INPUTS ! ------------------------------------------------------------------------------- ! ! Total number of elements in the mesh ! Adaptive mesh cannot be used! integer, public :: numel ! ! Element type ! Single element type is possible throughout the mesh ! Please do not leave any spaces between the characters ! Use the element types defined in ABAQUS element library ! Please see meshprop.f for the list of available element types character(len=:), allocatable, public :: eltyp ! ! ! Number of integration points per element integer, public :: numpt ! ! Number of nodes per element integer, public :: nnpel ! ! ! Dimensions of the problem: ! Tensor dimensions in UMAT integer, public :: numtens ! ! 2: 2D / 3: 3D integer, public :: numdim ! ! ! Number of neighbors integer, allocatable, public :: numneigh(:,:) ! ! Element numbers of neighbors integer, allocatable, public :: eleneigh(:,:,:) ! ! Integration points of neighbors integer, allocatable, public :: iptneigh(:,:,:) ! ! Weighting factor of neighbors real(8), allocatable, public :: facneigh(:,:,:) ! ! ------------------------------------------------------------------------------- ! ! ! ! ------------------------------------------------------------------------------- ! ! GLOBAL VARIABLES FOR NON-LOCAL CALCULATIONS ! ------------------------------------------------------------------------------- ! These variables will be assigned at the initialization ! A single type of element is assumed throughout the mesh ! ! integration point domain (area/volume) real(8), allocatable, public :: ipdomain(:,:) ! ! integration point weights real(8), allocatable, public :: ipweights(:) ! ! Global integration point coordinates real(8), allocatable, public :: ipcoords(:,:,:) ! ! Element specific shape functions and mappings ! Dependent on element type ! ! Gradient map for elements real(8), allocatable, public :: gradip2ip(:,:,:,:) ! ! Interpolation matrix real(8), allocatable, public :: Nmat(:,:) ! ! Inverse of interpolation matrix real(8), allocatable, public :: invNmat(:,:) ! ! Shape function derivatives real(8), allocatable, public :: dNmat(:,:,:) ! ! Shape function derivatives at element center real(8), allocatable, public :: dNmatc(:,:) ! ! Element having a single IP integer, public :: calculategradient ! ! ------------------------------------------------------------------------------- ! ! ! ! ! CONSTANTS ! ------------------------------------------------------------------------------- ! ! Number pi real(8), parameter, public :: pi = 3.14159265359 ! ! Taylor factor for a polycrytal aggregate real(8), parameter, public :: TF = 3.1 ! ! Universal gas contant [J/mol/K] real(8), parameter, public :: Rgas = 8.31432 ! ! Boltzman contant [m2 kg s-2 K-1 ] real(8), parameter, public :: KB = 1.380649d-23 ! ! Small real number real(8), parameter, public :: smallnum = 1.0d-20 ! ! Large real number real(8), parameter, public :: largenum = 1.0d+50 ! ! A random number array generated initially real(8), allocatable, public :: randnum(:) ! ! ------------------------------------------------------------------------------- ! ! ! ! ! IDENTITY TENSORS ! ------------------------------------------------------------------------------- ! ! Identity matrix (3x3) real(8), public :: I3(3,3) ! ! Identity matrix (6x6) real(8), public :: I6(6,6) ! ! Identity matrix (9x9) real(8), public :: I9(9,9) ! ! Permutation symbol (3,3,3) real(8), public :: eijk(3,3,3) ! ! ! SLIP DIRECTIONS ! ------------------------------------------------------------------------------- ! ! ! Global variable for slip directions ! Slip direction can be different for each material real(8), allocatable, public :: dirc_0_all(:,:,:) ! ! Global variable for slip plane normal ! Slip plane normal can be different for each material real(8), allocatable, public :: norc_0_all(:,:,:) ! ! Global variable for transverse direction ! Transverse direction can be different for each material real(8), allocatable, public :: trac_0_all(:,:,:) ! ! Global variable for line direction ! Line direction can be different for each material real(8), allocatable, public :: linc_0_all(:,:,:) ! ! Global variable for forest projections ! Forest projection for GND and SSD ! Can be different for each material real(8), allocatable, public :: forestproj_all(:,:,:) ! ! Global variable to map screw dislocations from the corespondent slip systems ! This is needed for gndmodels 4/5/6 where screw dislocations are computed at each system ! Therefore, need to account for only the defined set of screw systems ! Can be different for each material real(8), allocatable, public :: slip2screw_all(:,:,:) ! ! ! ! BCC slip directions real(8), public :: dir1(48,3) ! <111> {110} slip family data dir1(1,:) /-1., 1., 1. / data dir1(2,:) / 1., -1., 1. / data dir1(3,:) / 1., 1., 1. / data dir1(4,:) / 1., -1., 1. / data dir1(5,:) / 1., 1., 1. / data dir1(6,:) / 1., 1., -1. / data dir1(7,:) / 1., 1., 1. / data dir1(8,:) /-1., 1., 1. / data dir1(9,:) / 1., -1., 1. / data dir1(10,:) /1., 1., -1. / data dir1(11,:) /-1., 1., 1. / data dir1(12,:) / 1., 1., -1. / ! <111> {112} slip family data dir1(13,:) / 1., 1., -1. / data dir1(14,:) / 1., -1., 1. / data dir1(15,:) /-1., 1., 1. / data dir1(16,:) / 1., 1., 1. / data dir1(17,:) / 1., -1., 1. / data dir1(18,:) / 1., 1., -1. / data dir1(19,:) / 1., 1., 1. / data dir1(20,:) /-1., 1., 1. / data dir1(21,:) /-1., 1., 1. / data dir1(22,:) / 1., 1., 1. / data dir1(23,:) / 1., 1., -1. / data dir1(24,:) / 1., -1., 1. / ! <111> {123} slip family data dir1(25,:) / 1., 1., -1. / data dir1(26,:) / 1., -1., 1. / data dir1(27,:) /-1., 1., 1. / data dir1(28,:) / 1., 1., 1. / data dir1(29,:) / 1., -1., 1. / data dir1(30,:) / 1., 1., -1. / data dir1(31,:) / 1., 1., 1. / data dir1(32,:) /-1., 1., 1. / data dir1(33,:) / 1., 1., -1. / data dir1(34,:) / 1., -1., 1. / data dir1(35,:) /-1., 1., 1. / data dir1(36,:) / 1., 1., 1. / data dir1(37,:) / 1., -1., 1. / data dir1(38,:) / 1., 1., -1. / data dir1(39,:) / 1., 1., 1. / data dir1(40,:) /-1., 1., 1. / data dir1(41,:) /-1., 1., 1. / data dir1(42,:) / 1., 1., 1. / data dir1(43,:) / 1., 1., -1. / data dir1(44,:) / 1., -1., 1. / data dir1(45,:) /-1., 1., 1. / data dir1(46,:) / 1., 1., 1. / data dir1(47,:) / 1., 1., -1. / data dir1(48,:) / 1., -1., 1. / ! ! ! BCC slip plane normals real(8), public :: nor1(48,3) ! <111> {110} slip family data nor1(1,:) / 1., 1., 0. / data nor1(2,:) / 1., 1., 0. / data nor1(3,:) /-1., 0., 1. / data nor1(4,:) /-1., 0., 1. / data nor1(5,:) /-1., 1., 0. / data nor1(6,:) /-1., 1., 0. / data nor1(7,:) / 0., 1., -1. / data nor1(8,:) / 0., 1., -1. / data nor1(9,:) / 0., 1., 1. / data nor1(10,:) / 0., 1., 1. / data nor1(11,:) / 1., 0., 1. / data nor1(12,:) / 1., 0., 1. / ! <111> {112} slip family data nor1(13,:) / 1., 1., 2. / data nor1(14,:) /-1., 1., 2. / data nor1(15,:) / 1., -1., 2. / data nor1(16,:) / 1., 1., -2. / data nor1(17,:) / 1., 2., 1. / data nor1(18,:) /-1., 2., 1. / data nor1(19,:) / 1., -2., 1. / data nor1(20,:) / 1., 2., -1. / data nor1(21,:) / 2., 1., 1. / data nor1(22,:) /-2., 1., 1. / data nor1(23,:) / 2., -1., 1. / data nor1(24,:) / 2., 1., -1. / ! <111> {123} slip family data nor1(25,:) / 1., 2., 3. / data nor1(26,:) / -1., 2., 3. / data nor1(27,:) / 1., -2., 3. / data nor1(28,:) / 1., 2., -3. / data nor1(29,:) / 1., 3., 2. / data nor1(30,:) / -1., 3., 2. / data nor1(31,:) / 1., -3., 2. / data nor1(32,:) / 1., 3., -2. / data nor1(33,:) / 2., 1., 3. / data nor1(34,:) / -2., 1., 3. / data nor1(35,:) / 2., -1., 3. / data nor1(36,:) / 2., 1., -3. / data nor1(37,:) / 2., 3., 1. / data nor1(38,:) / -2., 3., 1. / data nor1(39,:) / 2., -3., 1. / data nor1(40,:) / 2., 3., -1. / data nor1(41,:) / 3., 1., 2. / data nor1(42,:) / -3., 1., 2. / data nor1(43,:) / 3., -1., 2. / data nor1(44,:) / 3., 1., -2. / data nor1(45,:) / 3., 2., 1. / data nor1(46,:) / -3., 2., 1. / data nor1(47,:) / 3., -2., 1. / data nor1(48,:) / 3., 2., -1. / ! ! ! ! FCC slip directions real(8), public :: dir2(18,3) ! <110> {111} slip family data dir2(1,:) / 1., -1., 0. / data dir2(2,:) / 0., 1., -1. / data dir2(3,:) / 1., 0., -1. / data dir2(4,:) / 1., 1., 0. / data dir2(5,:) / 0., 1., -1. / data dir2(6,:) / 1., 0., 1. / data dir2(7,:) / 1., 1., 0. / data dir2(8,:) / 0., 1., 1. / data dir2(9,:) / 1., 0., -1. / data dir2(10,:) / 1., -1., 0. / data dir2(11,:) / 0., 1., 1. / data dir2(12,:) / 1., 0., 1. / ! <110> {100} cubic slip family data dir2(13,:) / 0., 1., 1. / data dir2(14,:) / 0., 1., -1. / data dir2(15,:) / 1., 0., 1. / data dir2(16,:) / 1., 0., -1. / data dir2(17,:) / 1., 1., 0. / data dir2(18,:) / 1., -1., 0. / ! ! ! FCC slip plane normals real(8), public :: nor2(18,3) ! <110> {111} slip family data nor2(1,:) / 1., 1., 1. / data nor2(2,:) / 1., 1., 1. / data nor2(3,:) / 1., 1., 1. / data nor2(4,:) /-1., 1., 1. / data nor2(5,:) /-1., 1., 1. / data nor2(6,:) /-1., 1., 1. / data nor2(7,:) / 1., -1., 1. / data nor2(8,:) / 1., -1., 1. / data nor2(9,:) / 1., -1., 1. / data nor2(10,:) / 1., 1., -1. / data nor2(11,:) / 1., 1., -1. / data nor2(12,:) / 1., 1., -1. / ! <110> {100} cubic slip family data nor2(13,:) / 1., 0., 0. / data nor2(14,:) / 1., 0., 0. / data nor2(15,:) / 0., 1., 0. / data nor2(16,:) / 0., 1., 0. / data nor2(17,:) / 0., 0., 1. / data nor2(18,:) / 0., 0., 1. / ! ! ! The directions are corrected by Alvaro 23.02.2023 ! HCP slip directions real(8), public :: dir3h(30,4) ! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio) data dir3h(1,:) / 2., -1., -1., 0./ data dir3h(2,:) /-1., 2., -1., 0./ data dir3h(3,:) /-1., -1., 2., 0./ ! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio) data dir3h(4,:) / 2., -1., -1., 0./ data dir3h(5,:) /-1., 2., -1., 0./ data dir3h(6,:) /-1., -1., 2., 0./ ! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data dir3h(7,:) /-1., 2., -1., 0./ data dir3h(8,:) /-2., 1., 1., 0./ data dir3h(9,:) /-1., -1., 2., 0./ data dir3h(10,:) / 1., -2., 1., 0./ data dir3h(11,:) / 2., -1., -1., 0./ data dir3h(12,:) / 1., 1., -2., 0./ ! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data dir3h(13,:) /-2., 1., 1., 3./ data dir3h(14,:) /-1., -1., 2., 3./ data dir3h(15,:) /-1., -1., 2., 3./ data dir3h(16,:) / 1., -2., 1., 3./ data dir3h(17,:) / 1., -2., 1., 3./ data dir3h(18,:) / 2., -1., -1., 3./ data dir3h(19,:) / 2., -1., -1., 3./ data dir3h(20,:) / 1., 1., -2., 3./ data dir3h(21,:) / 1., 1., -2., 3./ data dir3h(22,:) /-1., 2., -1., 3./ data dir3h(23,:) /-1., 2., -1., 3./ data dir3h(24,:) /-2., 1., 1., 3./ ! ! <11.3>{-1-1.2} / 2nd order pyramidal systems data dir3h(25,:) /-1., -1., 2., 3./ data dir3h(26,:) / 1., -2., 1., 3./ data dir3h(27,:) / 2., -1., -1., 3./ data dir3h(28,:) / 1., 1., -2., 3./ data dir3h(29,:) /-1., 2., -1., 3./ data dir3h(30,:) /-2., 1., 1., 3./ ! ! ! HCP slip plane normals real(8), public :: nor3h(30,4) ! <-1-1.0>{00.1} / basal systems (independent of c/a-ratio) data nor3h(1,:) /0., 0., 0., 1./ data nor3h(2,:) /0., 0., 0., 1./ data nor3h(3,:) /0., 0., 0., 1./ ! <-1-1.0>{1-1.0} / prismatic systems (independent of c/a-ratio) data nor3h(4,:) /0., 1., -1., 0./ data nor3h(5,:) /-1., 0., 1., 0./ data nor3h(6,:) /1., -1., 0., 0./ ! <-1-1.0>{-11.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data nor3h(7,:) /1., 0., -1., 1./ data nor3h(8,:) /0., 1., -1., 1./ data nor3h(9,:) /-1., 1., 0., 1./ data nor3h(10,:) /-1., 0., 1., 1./ data nor3h(11,:) /0., -1., 1., 1./ data nor3h(12,:) /1., -1., 0., 1./ ! <11.3>{-10.1} / 1st order pyramidal systems (direction independent of c/a-ratio) data nor3h(13,:) /1., 0., -1., 1./ data nor3h(14,:) /1., 0., -1., 1./ data nor3h(15,:) /0., 1., -1., 1./ data nor3h(16,:) /0., 1., -1., 1./ data nor3h(17,:) /-1., 1., 0., 1./ data nor3h(18,:) /-1., 1., 0., 1./ data nor3h(19,:) /-1., 0., 1., 1./ data nor3h(20,:) /-1., 0., 1., 1./ data nor3h(21,:) /0., -1., 1., 1./ data nor3h(22,:) /0., -1., 1., 1./ data nor3h(23,:) /1., -1., 0., 1./ data nor3h(24,:) /1., -1., 0., 1./ ! <11.3>{-1-1.2} / 2nd order pyramidal systems data nor3h(25,:) /1., 1., -2., 2./ data nor3h(26,:) /-1., 2., -1., 2./ data nor3h(27,:) /-2., 1., 1., 2./ data nor3h(28,:) /-1., -1., 2., 2./ data nor3h(29,:) /1., -2., 1., 2./ data nor3h(30,:) /2., -1., -1., 2./ ! ! ! Slip direction for alpha-Uranium ! see McCabe, Tome et al 2010 (Figure 2) real(8), public :: dir4(8,3) data dir4(1,:) /1.0, 0.0, 0.0/ data dir4(2,:) /1.0, 0.0, 0.0/ data dir4(3,:) /0.43731, -0.89931, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0) data dir4(4,:) /0.43731, 0.89931, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0) data dir4(5,:) /0.24074, -0.49507, 0.83483/ ! [1-12](021) -> [a,-b,2c](0,c,b/2) data dir4(6,:) /-0.24074, -0.49507, 0.83483/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2) data dir4(7,:) /0.24074, 0.49507, 0.83483/ ! [112](0-21) -> [a,b,2c](0,c,-b/2) data dir4(8,:) /0.24074, -0.49507, -0.83483/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2) ! ! ! Slip plane normals of alpha-Uranium ! see McCabe, Tome et al 2010 (Figure 2) real(8), public :: nor4(8,3) data nor4(1,:) /0.0, 1.0, 0.0/ data nor4(2,:) /0.0, 0.0, 1.0/ data nor4(3,:) /0.89931, 0.43731, 0.0/ ! [1-10](110) -> [a,-b,0](b,a,0) data nor4(4,:) /0.89931, -0.43731, 0.0/ ! [110](1-10) -> [a,b,0](b,-a,0) data nor4(5,:) /0.0, 0.86013, 0.51008/ ! [1-12](021) -> [a,-b,2c](0,c,b/2) data nor4(6,:) /0.0, 0.86013, 0.51008/ ! [-1-12](021) -> [-a,-b,2c](0,c,b/2) data nor4(7,:) /0.0, 0.86013, -0.51008/ ! [112](0-21) -> [a,b,2c](0,c,-b/2) data nor4(8,:) /0.0, 0.86013, -0.51008/ ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2) ! ! ! ! ! ------------------------------------------------------------------------------- ! end module globalvariables ================================================ FILE: OXFORD-UMAT v3.3/hardening.f ================================================ ! Oct. 03rd, 2022 ! Eralp Demir ! module hardening implicit none contains ! Since crss is computed considering the phase ! Hardening shall evolve the proper state variables ! ! ! ******************************************** ! ** HARDENING updates the state variables ** ! ** that determine mechanical hardening ** ! ******************************************** subroutine hardeningrules(iphase,nslip, + temperature,dt,G12,burgerv, + totgammasum,gammadot,pdot, + irradiationmodel,irradiationparam, + hardeningmodel,hardeningparam, + hintmat1,hintmat2,tauc,ssd, + loop,rhofor,rhotot, + rhosub,tausolute, + dtauc,drhotot,drhofor, + drhosub, dssd, dloop) use globalvariables, only : KB use userinputs, only: maxnparam, maxnloop implicit none ! ! INPUTS ! crystal type integer,intent(in) :: iphase ! ! number of slip systems integer,intent(in) :: nslip ! ! current temperature real(8),intent(in) :: temperature ! ! time increment real(8),intent(in) :: dt ! ! shear modulus real(8),intent(in) :: G12 ! ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! ! ! cumulative crystallographic slip at the current tiemstep ! needed for model with irradiation real(8),intent(in) :: totgammasum ! ! plastic shear rate on slip systems ! and absolute value real(8),intent(in) :: gammadot(nslip) ! ! Von-mises equivalent plastic strain rate real(8),intent(in) :: pdot ! ! irradiation effect integer,intent(in) :: irradiationmodel ! ! irradiation model parameters real(8),intent(in) :: irradiationparam(maxnparam) ! ! hardening model integer,intent(in) :: hardeningmodel ! ! hardening parameters real(8),intent(in) :: hardeningparam(maxnparam) ! ! Hardening interaction matrices ! Latent hardening real(8), intent(in) :: hintmat1(nslip,nslip) ! Hardening interaction matrix between dislocations real(8), intent(in) :: hintmat2(nslip,nslip) ! ! crss real(8),intent(in) :: tauc(nslip) ! ! ssd density real(8),intent(in) :: ssd(nslip) ! ! loop density real(8),intent(in) :: loop(maxnloop) ! ! forest density real(8),intent(in) :: rhofor(nslip) ! ! total density real(8),intent(in) :: rhotot(nslip) ! ! substructure density real(8),intent(in) :: rhosub ! ! ! ! OUTPUTS ! increase in tauc due to solute force real(8),intent(out) :: tausolute ! ! crss increment real(8),intent(out) :: dtauc(nslip) ! ! ! ! ! total ssd density increment real(8),intent(out) :: drhotot ! ! forest dislocation density increment real(8),intent(out) :: drhofor(nslip) ! ! substructure dislocation density increment real(8),intent(out) :: drhosub ! ! ssd density increment real(8),intent(out) :: dssd(nslip) ! ! loop density increment real(8),intent(out) :: dloop(maxnloop) ! ! ! ! ! ! ! Variables used within this subroutine ! absolute value of the plastic shear rate on slip systems real(8), dimension(nslip) :: absgammadot ! Parameters for irradiation hardening real(8) :: taus0, gammasat, gamma ! Parameters for irradiation model = 2 integer :: nloop ! Parameters for Voce typ hardening model real(8) :: h0, ss, m, q, hb(nslip), Hab(nslip,nslip) ! Parameter for linear hardening model real(8) :: k ! Parameters for Kocks-Mecking hardening model real(8) :: k1, b, X, g, D, pdot0, k2, KBT ! Parameters for hardening model - 5 (KM) real(8) :: q1, q2, tot ! Additional parameters for substructure hardening real(8) :: f ! ! Parameters hardening model for CuCrZr real(8) :: Pm, alpham, gf ! integer :: is, js, i, j integer :: il ! ! ! Set outputs zero initially dtauc = 0. dssd = 0. drhofor = 0. drhosub = 0. drhotot = 0. tausolute = 0. dloop = 0. ! ! ! ! absolute value of slip rates absgammadot = dabs(gammadot) ! ! ! ! Irradiation hardening ! ========================================================================= ! ! ! update solute force if (irradiationmodel == 1) then ! ! Prefactor in irradiation hardening taus0 = irradiationparam(1) ! ! Saturation strain gammasat = irradiationparam(2) ! ! Solute strength tausolute = taus0*dexp(-totgammasum/gammasat) ! end if ! ! ! ! update loop density if (irradiationmodel == 2) then ! ! Number of type of the loop defects nloop = int(irradiationparam(1)) ! ! Compute the evolution (annihiliation) do il = 1, nloop ! ! do is = 1, nslip ! dloop(il) = dloop(il) - hintmat2(il,is) * + sqrt(loop(il)) / burgerv(is) * absgammadot(is) * dt ! ! ! ! ! end do ! ! end do ! ! ! end if ! ! ! ! ========================================================================= ! ! ! ! Other strainhardening models ! No hardening if (hardeningmodel==0) then ! ! Do not harden! ! ! elseif (hardeningmodel==1) then ! ! read in the parameters h0 = hardeningparam(1) ss = hardeningparam(2) m = hardeningparam(3) q = hardeningparam(4) ! ! ! ! Construct the latent hardening matrix ! Note that this is a matrix different than latent hardening Hab = hintmat1 ! hb=0. do is = 1,nslip ! hb(is) = h0*(1.-tauc(is)/ss)**m* + absgammadot(is)*dt ! ! ! ! ! end do ! dtauc = matmul(Hab,hb) ! ! ! linear hardening model elseif (hardeningmodel==2) then ! ! read in the parameters k = hardeningparam(1) ! ! ! total density drhotot = k*pdot*dt ! ! SSD evolution do is = 1, nslip ! dssd(is) = k*absgammadot(is)*dt ! end do ! ! ! ! Kocks-Mecking hardening elseif (hardeningmodel==3) then ! ! input parameters k1 = hardeningparam(1) X = hardeningparam(3) g = hardeningparam(4) D = hardeningparam(5) pdot0 = hardeningparam(6) ! ! ! Multiplied with 10^12 for unit conversion ! 1 Joule = 1 N*m = 10^12 MPa*micrometer ! Correction by Louis and Rui as Github contributors KBT = KB*temperature*1.d+12 ! ! ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! Parametrically calculate softening factor if (hardeningparam(2)==0.) then k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0)) else k2 = hardeningparam(2) end if ! ! dssd(is) = (k1/b*dsqrt(rhofor(is))-k2*ssd(is))* + absgammadot(is)*dt ! ! ! end do ! drhotot = sum(dssd) ! ! Kocks-Mecking hardening with substructure evolution ! Reference: https://doi.org/10.1016/j.actamat.2010.06.021 ! elseif (hardeningmodel==4) then ! ! ! ! ! ! ! ! ! ! ! for alpha-uranium material parameters are built in if (iphase == 4) then ! ! ! ! forest dislocations evolution ! using constants from calibration of tensile bar 3 ! using twin-slip interaction model drhofor(1) = 43.2*max(dsqrt(rhofor(1))- + (0.17100+2.6093e-03*temperature) + *rhofor(1),0.0)*absgammadot(1)*dt drhofor(2) = 6320.0*max(dsqrt(rhofor(2))- + (0.25650+5.8708e-04*temperature) + *rhofor(2),0.0)*absgammadot(2)*dt drhofor(3) = 0.24*max(dsqrt(rhofor(3))- + (0.11718+1.9289e-04*temperature) + *rhofor(3),0.0)*absgammadot(3)*dt drhofor(4) = 0.24*max(dsqrt(rhofor(4))- + (0.11718+1.9289e-04*temperature) + *rhofor(4),0.0)*absgammadot(4)*dt drhofor(5) = 800.0*max(dsqrt(rhofor(5))- + (0.12+1.5e-05*temperature) + *rhofor(5),0.0)*absgammadot(5)*dt drhofor(6) = 800.0*max(dsqrt(rhofor(6))- + (0.12+1.5e-05*temperature) + *rhofor(6),0.0)*absgammadot(6)*dt drhofor(7) = 800.0*max(dsqrt(rhofor(7))- + (0.12+1.5e-05*temperature) + *rhofor(7),0.0)*absgammadot(7)*dt drhofor(8) = 800.0*max(dsqrt(rhofor(8))- + (0.12+1.5e-05*temperature) + *rhofor(8),0.0)*absgammadot(8)*dt ! ! substructure dislocations evolution drhosub = 0.216*(17.545+0.26771*temperature)* + rhofor(1)*dsqrt(rhosub)*absgammadot(1)*dt ! ! If any other material else ! ! ! input parameters k1 = hardeningparam(1) X = hardeningparam(3) g = hardeningparam(4) D = hardeningparam(5) pdot0 = hardeningparam(6) q = hardeningparam(7) f = hardeningparam(8) ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! Parametrically calculate softening factor if (hardeningparam(2)==0.) then k2 = k1*X*b/g*(1.-KBT/D/b**3*dlog(pdot/pdot0)) else k2 = hardeningparam(2) end if ! drhofor(is)=(k1/b*dsqrt(rhofor(is))-k2*rhofor(is)) + *absgammadot(is)*dt ! drhosub = drhosub + b*q*f*dsqrt(rhosub)* + k2*rhofor(is)*absgammadot(is)*dt ! ! end do ! ! ! ! ! end if ! ! UKAEA - model ! Vikram Phalke ! Kocks-Mecking hardening - based on total density elseif (hardeningmodel==5) then ! ! input parameters k1 = hardeningparam(1) k2 = hardeningparam(2) q1 = hardeningparam(3) q2 = hardeningparam(4) ! ! ! interaction matrix Hab = hintmat1 ! ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! tot = 0. do js=1,nslip ! ! total density (rhottot) is used to include GND effects ! instead of just SSD density tot=tot + Hab(is,js)*rhotot(js) ! end do ! dssd(is) = + (k1/b*dsqrt(tot)-k2*ssd(is))* + absgammadot(is)*dt ! ! end do ! drhotot = sum(dssd) ! ! ! UKAEA - model ! Yunzhou Bai ! Hardening model for EUROFER steel ! Kocks-Mecking hardening - based on martensite lath spacing elseif (hardeningmodel==6) then ! ! input parameters k1 = hardeningparam(1) k2 = hardeningparam(2) D = hardeningparam(3) ! ! ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! ! ! dssd(is) = (k1/D/b-k2*ssd(is))* + absgammadot(is)*dt ! ! end do ! drhotot = sum(dssd) ! ! ! ! UKAEA - model ! Vikram Phalke ! Kocks-Mecking hardening - rhoforest elseif (hardeningmodel==7) then ! ! input parameters k1 = hardeningparam(1) k2 = hardeningparam(2) gf = hardeningparam(3) Pm = hardeningparam(4) alpham = hardeningparam(5) ! ! do is = 1,nslip ! ! Burgers vector b = burgerv(is) ! dssd(is) = + (k1/b*dsqrt(gf**2.*rhofor(is) + + alpham**2.*Pm**(2./3.))-k2*ssd(is))* + absgammadot(is)*dt ! ! end do ! drhotot = sum(dssd) ! ! ! ! ! end if ! return ! end subroutine hardeningrules ! ! ! ! ! end module hardening ================================================ FILE: OXFORD-UMAT v3.3/initializations.f ================================================ ! Sept. 26th, 2022 ! Eralp Demir ! ! This module includes initialization scripts ! module initializations implicit none contains ! ! ! ! ! Subroutines that need to run once at the beginning of calculations subroutine initialize_once use globalvariables, only: randnum use meshprop, only : feprop use useroutputs, only: defineoutputs implicit none ! ! ! ! ! 1. Enter mesh/element properties ! to get number of integration points for array allocation call feprop write(*,*) '1. Mesh initialization completed!' ! ! 2. Allocate arrays call allocate_arrays write(*,*) '2. Array allocation completed!' ! ! 3. Initialize identity matrices call initialize_identity write(*,*) '3. Identity tensors initialized!' ! ! 4. Define outputs ! Based on the flag: "readfromprops = 0 / 1" ! Will be either read from PROPS or from useroutputs.f call defineoutputs write(*,*) '4. Outputs are defined using useroutputs.f!' ! ! ! 5. Read the input files if needed call readfiles write(*,*) '5. The necessary files were read!' ! ! 6. Generate a random number call random_number(randnum) write(*,*) '6. A random number is generated!' ! return end subroutine initialize_once ! ! ! ! ! Subroutine to initialize global flags subroutine initialize_variables use userinputs, only: maxnumel, maxnumpt use globalvariables, only : time_old, + dt_t, calculategradient, numpt, numel, + ip_count, init_once, grad_init ! ! Use this instead of data statements time_old=0. dt_t=0. ! calculategradient=1 grad_init=0 ! ! Maximum number of elements and maximum number of integration points ! are defined in userinputs.f allocate(ip_count(maxnumel,maxnumpt)) ip_count=-1 ! ! Element number will be counted numpt=0 numel=0 ! ! flag for initialization once at the beginning init_once=0 ! return end subroutine initialize_variables ! ! ! ! ! ! Reading additional input files subroutine readfiles use userinputs, only: + voxfilename, foldername, readmaterialfile, + rsfilename, readresidualstrainfile use globalvariables, only: numel, numpt, + Euler, statev_Fr use utilities, only: vecmat9, inv3x3 integer :: i, iele, iquad real(8) :: dummy(8), dum1, dum2, det real(8) :: Fe0_vec(9), Fe0(3,3), Fr(3,3), detFr ! ! ! Read vox file if requested if (readmaterialfile==1) then ! Open the file open(200,file=foldername // '/' // voxfilename,action='read', + status='old') ! ! ! Number of lines is the same as the number of elements do iele=1,numel ! dummy=0. read(200,*) dummy(1:8) ! ! Bunge angles in degrees Euler(iele,1) = dummy(1) Euler(iele,2) = dummy(2) Euler(iele,3) = dummy(3) ! ! Test write if (i==1) then write(*,*) 'Testing reading of Job-1.vox file' write(*,*) 'iele', i write(*,*) 'Bunge (deg)', Euler(i,:) end if ! ! end do ! ! End of reading vox file close(200) ! end if ! ! ! ! ! Read residual strains if (readresidualstrainfile==1) then ! ! Open the file open(300,file=foldername // '/' // rsfilename,action='read', + status='old') ! ! total number of lines = ! number of elements x number of integtration points do i=1,numel*numpt ! ! dummy first read - Euler angles read(300,*) dum1, dum2, Fe0_vec(1:9) iele = int(dum1) iquad = int(dum2) ! ! calculate 3x3 deformation gradient call vecmat9(Fe0_vec,Fe0) ! !! invert to get the residual deformation ! call inv3x3(Fe0,Fr,detFr) ! ! Test write if (i==1) then write(*,*) 'Testing reading of resdef.dat file' write(*,*) 'iele', iele write(*,*) 'iquad', iquad write(*,*) 'Fe0_vec', Fe0_vec end if ! statev_Fr(iele,iquad,:,:)=Fe0 ! end do ! ! End of residual strain file close(300) ! end if ! ! ! ADD HERE IF THERE ARE ADDITIONAL INPUT FILES!!! ! ! return end subroutine readfiles ! ! ! ! Subroutines that need to run once at the beginning of calculations subroutine initialize_atfirstinc(noel,npt,coords,nprops, + props,temp,nstatv,ntens,stress) use userinputs, only: constanttemperature, temperature, + maxnslip, maxnparam, maxnmaterial, maxnloop, + backstressmodel, readmaterialfile use globalvariables, only: Euler, materialid, + featureid, phaseid, ipcoords, numdim, + statev_gmatinv, statev_gmatinv_t, ip_init, + numslip_all, numscrew_all, phaseid_all, + statev_tauc, statev_tauc_t, statev_gmatinv_0, + dirc_0_all, norc_0_all, + trac_0_all, linc_0_all, + forestproj_all, slip2screw_all, screw_all, + statev_ssd, statev_ssd_t, + statev_ssdtot, statev_ssdtot_t, + statev_forest, statev_forest_t, + statev_substructure, statev_substructure_t, + statev_tausolute, statev_tausolute_t, + statev_loop, statev_loop_t, + statev_tauceff, statev_gnd_0, + statev_sigma, statev_sigma_t, + caratio_all, cubicslip_all, + Cc_all, gf_all, G12_all, v12_all, + alphamat_all, burgerv_all, + slipmodel_all, slipparam_all, + creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, + irradiationmodel_all, irradiationparam_all, + sintmat1_all, sintmat2_all, + hintmat1_all, hintmat2_all, + backstressparam_all ! use irradiation, only: calculateintmats4irradmodel2 use usermaterials, only: materialparam use utilities, only: rotord4sig use crss, only: slipresistance, totalandforest use useroutputs, only: checkoutputs, + statev_outputs, nstatv_outputs use errors, only: error implicit none ! Element number integer, intent(in) :: noel ! Integration point integer, intent(in) :: npt ! Number of properties integer, intent(in) :: nprops ! Ip coordinates real(8), intent(in) :: coords(3) ! State variables real(8), intent(in) :: props(nprops) ! Abaqus temperature real(8), intent(in) :: temp ! Number of state variables integer, intent(in) :: nstatv ! Dimension of stress vector integer, intent(in) :: ntens ! Stress tensor real(8), intent(in) :: stress(ntens) ! ! Internal variables ! Flag for reading from PROPS vector integer readfromprops ! Crystal to sample transformation matrix real(8) :: gmatinv(3,3) ! Phase id integer :: phaid ! Number of slip systems integer :: nslip ! Number of screw systems integer :: nscrew ! Material id integer :: matid ! Slip model integer :: slipmodel ! Slip parameters real(8) :: slipparam(maxnparam) ! Creep model integer :: creepmodel ! Creep parameters real(8) :: creepparam(maxnparam) ! Hardening model integer :: hardeningmodel ! Hardening parameters real(8) :: hardeningparam(maxnparam) ! Irradiation model integer :: irradiationmodel ! Irradiation parameters real(8) :: irradiationparam(maxnparam) ! Backstress parameters real(8) :: backstressparam(maxnparam) ! Cubic slip for fcc nickel superalloys only integer :: cubicslip ! Material temperature real(8) :: mattemp ! c/a ratio for hexagonal materials real(8) :: caratio ! Crystal elasticity matrix real(8) :: Cc(6,6) ! Geometric factor real(8) :: gf ! Shear modulus real(8) :: G12 ! Poisson's ratio real(8) :: v12 ! Thermal expansion coefficient matrix in crystal lattice real(8) :: alphamat(3,3) ! Burgers vector real(8) :: burgerv(maxnslip) ! Screw systems integer :: screw(maxnslip) ! Initial critical resolved shear stress real(8) :: tauc_0(maxnslip) ! Initial dislocation density (SSD) real(8) :: rho_0(maxnslip) ! Sum of the initial density (SSD) real(8) :: rhosum_0 ! Initial forest density (hardening model-4) real(8) :: forest_0, for_0(maxnslip) ! Initial substructure density (hardening model-4) real(8) :: substructure_0 ! Interaction matrices ! Strength interaction between dislocations real(8) :: sintmat1(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8) :: sintmat2(maxnslip,maxnslip) ! Latent hardening real(8) :: hintmat1(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8) :: hintmat2(maxnslip,maxnslip) ! Allocatable arrays ! Slip direction real(8) :: dirc(maxnslip,3) ! Slip plane normal real(8) :: norc(maxnslip,3) ! Transverse direction real(8) :: trac(maxnslip,3) ! Slip line direction real(8) :: linc(maxnslip*2,3) ! Forest projection operator real(8) :: forestproj(maxnslip,maxnslip*2) ! Slip to screw system mapping real(8) :: slip2screw(maxnslip,maxnslip) ! initial Schmid tensor real(8) :: Schmidc_0(maxnslip,3,3) ! initial loop density real(8) :: loop_0(maxnloop) ! initial solute strength real(8) :: tausolute_0 ! initial GND density real(8) :: gnd_0(2*maxnslip) ! overall forest density real(8) :: rhofor_0(maxnslip) ! overall total density real(8) :: rhotot_0(maxnslip) ! overall cumulative density - scalar real(8) :: sumrhotot_0 ! Effective CRSS real(8) :: tauceff_0(maxnslip) ! Variables used in the calculations here within this subroutine ! Elasiticity real(8) :: C11, C12, C44, C13, C33 real(8) :: C23, C22, C55, C66 ! Thermal expansion real(8) :: alpha1, alpha2, alpha3 ! ! Dummy variables integer :: i, j, k, ind, is, nloop, dum integer :: i0, i1, i2 real(8) :: dir(3), nor(3) ! ! ! Reset arrays burgerv=0.; tauc_0=0.; rho_0=0.; forest_0=0.; substructure_0=0.; for_0=0. sintmat1=0.; sintmat2=0. hintmat1=0.; hintmat2=0. dirc=0.; norc=0.; trac=0.; linc=0. Schmidc_0=0. forestproj=0.; slip2screw=0.; screw=0 slipparam=0.;creepparam=0. hardeningparam=0.; irradiationparam=0. backstressparam = 0. ! loop_0=0.; tausolute_0=0. rhofor_0=0.; rhotot_0=0. sumrhotot_0=0.; gnd_0=0. tauceff_0=0. ! ! ! ! Calculation for only once (require NSTATV) ! This is done here because NSTATV is available in UMAT ! Can't be done at UEXTERNALDB(LOP=0) if (ip_init(1,1) == 0) then ! ! Check the number state variables defined in DEPVAR ! matches the outputs defined by the user (in useroutputs.f or in PROPS) call checkoutputs(nstatv) ! end if ! ! ! ! ! ! Initialization flag ip_init(noel,npt) = 1 ! ! Read integration point coordinates ! Assign and store at a global variable ipcoords(noel,npt,1:numdim) = coords(1:numdim) ! ! Read from PROPS readfromprops = int(props(6)) ! ! Material id matid = int(props(5)) ! ! Save material id materialid(noel,npt)=matid ! ! Save grain id featureid(noel,npt) = int(props(4)) ! ! Euler angles are read from PROPS ! IF the variable in userinputs.f was set as: "readmaterialfile=0" ! No entry from material file was selected if (readmaterialfile==0) then ! ! Initialize the ginv from Euler angles ! phi1: 1st on the property list Euler(noel,1)=props(1) ! Phi: 2nd on the property list Euler(noel,2)=props(2) ! phi2: 3rd on the property list Euler(noel,3)=props(3) ! end if ! ! ! ! ! write(*,*) 'noel', noel ! write(*,*) 'npt', npt ! write(*,*) 'matid', matid ! write(*,*) 'Euler', Euler ! ! ! ! ! ! ! Calculate inverse of the orientation matrix call initialize_orientations(Euler(noel,1:3),gmatinv) ! ! Assign the initial orientations statev_gmatinv(noel,npt,:,:)=gmatinv statev_gmatinv_t(noel,npt,:,:)=gmatinv statev_gmatinv_0(noel,npt,:,:)=gmatinv ! ! ! ! ! ! Decision on using ABAQUS temperature if (constanttemperature.eq.1) then ! ! ! Assign mattemp = temperature ! else if (constanttemperature.eq.0) then ! ! Use ABAQUS temperature (must be in K) mattemp = temp ! ! else ! Temperature flag is not assined correctly call error(5) ! endif ! ! ! If the properties are defined at "usermaterials.f" if (readfromprops==0) then ! ! Enter materials subroutine once for every ip to get number of slip systems call materialparam(matid,mattemp, + phaid,nslip,nscrew,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,burgerv, + tauc_0,rho_0,forest_0,substructure_0, + slipmodel,slipparam,creepmodel,creepparam, + hardeningmodel,hardeningparam, + irradiationmodel,irradiationparam, + sintmat1,sintmat2,hintmat1,hintmat2, + backstressparam) ! ! If material properies are defined in PROPS vector elseif (readfromprops==1) then ! ! Phase id indicates crystal structure phaid = int(props(7)) ! ! Number of slip systems nslip = int(props(8)) ! ! Number of screw systems nscrew = int(props(9)) ! ! cubic slip flag cubicslip = int(props(10)) ! ! geometric factor gf = props(11) ! ! Elastic constants C11 = props(12) C12 = props(13) C44 = props(14) ! ! Shear modulus G12 = C44 ! ! ! Poisson's ratio v12 = C12/(C11+C12) ! ! If cubic material - 3 constants if (phaid<3) then ! ! Elasticity matrix of a cubic material Cc = 0. Cc(1,1:3) = (/ C11, C12, C12 /) Cc(2,1:3) = (/ C12, C11, C12 /) Cc(3,1:3) = (/ C12, C12, C11 /) Cc(4,4) = C44 Cc(5,5) = C44 Cc(6,6) = C44 ! ! ! If hexagonal material - 5 constants elseif (phaid==3) then ! ! Read the remaning parameters C13 = props(15) C33 = props(16) ! ! Elasticity matrix of a hexagonal material Cc = 0. Cc(1,1:3) = (/ C11, C12, C13 /) Cc(2,1:3) = (/ C12, C11, C13 /) Cc(3,1:3) = (/ C13, C13, C33 /) Cc(4,4) = C44 Cc(5,5) = C44 Cc(6,6) = 0.5*(C11-C12) ! ! If tetragonal material - 9 constants elseif (phaid==4) then ! ! Read the remaning parameters C23 = props(17) C22 = props(18) C55 = props(19) C66 = props(20) ! ! Elasticity matrix of a ot material Cc = 0. Cc(1,1:3) = (/ C11, C12, C13 /) Cc(2,1:3) = (/ C12, C22, C23 /) Cc(3,1:3) = (/ C13, C23, C33 /) Cc(4,4) = C44 Cc(5,5) = C55 Cc(6,6) = C66 ! ! ! endif ! ! c/a ratio caratio = int(props(21)) ! ! ! Thermal expansion coefficients alpha1 = props(22) alpha2 = props(23) alpha3 = props(24) alphamat = 0. alphamat(1,1) = alpha1 alphamat(2,2) = alpha2 alphamat(3,3) = alpha3 ! ! ! Starting index for props i0 = 25 ! ! ! Slip model slipmodel = int(props(i0)) ! ! Slip model parameters do i = 1, maxnparam ! ind = i + i0 ! slipparam(i) = props(ind) ! end do ! ! Creep model creepmodel = int(props(i0+maxnparam+1)) ! ! Creep model parameters do i = 1, maxnparam ! ind = i + i0 + maxnparam+1 ! creepparam(i) = props(ind) ! ! end do ! ! ! Hardening model hardeningmodel = int(props(i0+2*(maxnparam+1))) ! ! Hardening model parameters do i = 1, maxnparam ! ind = i + i0+2*(maxnparam+1) ! hardeningparam(i) = props(ind) ! end do ! ! ! They are undefined for now - set to identity ! Interaction matrices ! Initially set all to identity sintmat1=0. sintmat2=0. hintmat1=0. hintmat2=0. do is = 1, maxnslip sintmat1(is,is)=1. sintmat2(is,is)=1. hintmat1(is,is)=1. hintmat2(is,is)=1. end do ! ! Define hardening matrix here based on the model! ! Hardening model-1 if (hardeningmodel==1) then ! Hardening interactions - latent hardening hintmat1 = hardeningparam(4) do k = 1, int(nslip/3.) do i = 1, 3 do j = 1, 3 hintmat1(3*(k-1)+i, 3*(k-1)+j)=1. enddo enddo enddo end if ! ! ! Irradiation model irradiationmodel = int(props(i0+3*(maxnparam+1))) ! ! ! Irradiation model parameters do i = 1, maxnparam ! ind = i + i0+3*(maxnparam+1) ! irradiationparam(i) = props(ind) ! end do ! ! ! Backstress parameters if (backstressmodel==1) then ! backstressparam(1) = props(ind+1) backstressparam(2) = props(ind+2) ! end if ! ! ! ! ! ! ! Overwrite user-defined outputs in useroutputs.f ! Reset number of state variables nstatv_outputs = 0 ! Reset the flags for outputs statev_outputs = 0 ! ! Reset starting index i1 = i0 + 5*maxnparam + 3 do i = 1, 30 ! ind = i + i1 ! dum = int(PROPS(ind)) ! statev_outputs(i) = dum ! ! Count the total number of outputs if (dum ==1) then nstatv_outputs = nstatv_outputs + 1 end if ! end do ! ! ! ! Assign slip system quantities ! Reset starting index i2 = i1 + 30 ! ! Initial dislocation density rho_0=0. do is = 1, maxnslip ! if (phaid.eq.1) then !bcc if (is.le.12) then ind = i2 + 1 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 2 elseif (is.gt.24) then ind = i2 + 3 end if elseif (phaid.eq.2) then !fcc if (is.le.12) then ind = i2 + 1 elseif (is.gt.12) then ind = i2 + 2 end if elseif (phaid.eq.3) then !hcp if (is.le.3) then ind = i2 + 1 elseif ((is.gt.3).and.(is.le.6)) then ind = i2 + 2 elseif ((is.gt.6).and.(is.le.12)) then ind = i2 + 3 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 4 elseif (is.gt.24) then ind = i2 + 5 end if end if ! ! rho_0(is) = props(ind) ! end do ! i2 = i2 + 6 ! ! Burgers vector burgerv=0. do is = 1, maxnslip ! if (phaid.eq.1) then !bcc if (is.le.12) then ind = i2 + 1 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 2 elseif (is.gt.24) then ind = i2 + 3 end if elseif (phaid.eq.2) then !fcc if (is.le.12) then ind = i2 + 1 elseif (is.gt.12) then ind = i2 + 2 end if elseif (phaid.eq.3) then if (is.le.3) then ind = i2 + 1 elseif ((is.gt.3).and.(is.le.6)) then ind = i2 + 2 elseif ((is.gt.6).and.(is.le.12)) then ind = i2 + 3 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 4 elseif (is.gt.24) then ind = i2 + 5 end if end if ! burgerv(is) = props(ind) ! end do ! i2 = i2 + 6 ! ! Initial critical resolved shear strength tauc_0=0. do is = 1, maxnslip ! if (phaid.eq.1) then !bcc if (is.le.12) then ind = i2 + 1 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 2 elseif (is.gt.24) then ind = i2 + 3 end if elseif (phaid.eq.2) then !fcc if (is.le.12) then ind = i2 + 1 elseif (is.gt.12) then ind = i2 + 2 end if elseif (phaid.eq.3) then if (is.le.3) then ind = i2 + 1 elseif ((is.gt.3).and.(is.le.6)) then ind = i2 + 2 elseif ((is.gt.6).and.(is.le.12)) then ind = i2 + 3 elseif ((is.gt.12).and.(is.le.24)) then ind = i2 + 4 elseif (is.gt.24) then ind = i2 + 5 end if end if ! tauc_0(is) = props(ind) ! end do ! ! Initial forest dislocation density (hardening model-4) forest_0 = props(147) ! ! Initial substructure dislocation density (hardening model-4) substructure_0 = props(148) ! ! ! PROPS(149-175) are intentionally left empty! ! ! endif ! ! ! ! Initialize phase-id of the material phaseid_all(matid)=phaid ! ! ! Initialize number of slip systems numslip_all(matid)=nslip ! ! Initialize number of screw systems ! Required for GND calculations numscrew_all(matid)=nscrew ! ! ! Initialize crss statev_tauc(noel,npt,1:maxnslip)=tauc_0 statev_tauc_t(noel,npt,1:maxnslip)=tauc_0 ! ! Initialize ssd density per slip system statev_ssd(noel,npt,1:maxnslip)=rho_0 statev_ssd_t(noel,npt,1:maxnslip)=rho_0 ! ! Initialize total ssd density rhosum_0=sum(rho_0(1:nslip)) statev_ssdtot(noel,npt)=rhosum_0 statev_ssdtot_t(noel,npt)=rhosum_0 ! Initialize forest density per slip system for_0(1:nslip)=forest_0 statev_forest(noel,npt,1:maxnslip)=for_0 statev_forest_t(noel,npt,1:maxnslip)=for_0 ! ! Initialize total ssd density statev_substructure(noel,npt)=substructure_0 statev_substructure_t(noel,npt)=substructure_0 ! ! ! ! ! Initialize irradiation parameters if (irradiationmodel==1) then ! Initialize solute strength tausolute_0=irradiationparam(1) statev_tausolute(noel,npt)=tausolute_0 statev_tausolute_t(noel,npt)=tausolute_0 ! ! elseif (irradiationmodel==2) then ! Initialize defect loop density nloop=int(irradiationparam(1)) do i = 1, nloop loop_0(i)=irradiationparam(1+i)* + irradiationparam(1+nloop+i) statev_loop(noel,npt,i)=loop_0(i) statev_loop_t(noel,npt,i)=loop_0(i) end do ! end if ! ! ! Initialize caratio caratio_all(matid)=caratio ! ! ! Initialize cubicslip cubicslip_all(matid)=cubicslip ! ! Initialize elasticity in crystal frame Cc_all(matid,1:6,1:6)=Cc ! ! Initialize geometric factor gf_all(matid)=gf ! ! Initialize shear modulus G12_all(matid)=G12 ! Initialize Poisson's ratio v12_all(matid)=v12 ! ! Initialize thermal expansion matrix alphamat_all(matid,1:3,1:3)=alphamat ! ! Initialize burgers vector burgerv_all(matid,1:maxnslip)=burgerv ! ! ! ! assign the global variables ! ! slip model slipmodel_all(matid)=slipmodel ! slip parameters slipparam_all(matid,:)=slipparam ! creep model creepmodel_all(matid)=creepmodel ! creep parameters creepparam_all(matid,:)=creepparam ! hardening model hardeningmodel_all(matid)=hardeningmodel ! hardening parameters hardeningparam_all(matid,:)=hardeningparam ! irradiation model irradiationmodel_all(matid)=irradiationmodel ! irradiation parameters irradiationparam_all(matid,:)=irradiationparam ! ! ! backstress parameters backstressparam_all(matid,:)=backstressparam ! ! Initialize initial (undeformed) slip vectors ! This is needed once per element since the material is different call initialize_slipvectors(phaid,nslip,nscrew,caratio, + screw(1:nscrew),dirc(1:nslip,1:3),norc(1:nslip,1:3), + trac(1:nslip,1:3),linc(1:nslip+nscrew,1:3), + forestproj(1:nslip,1:nslip+nscrew), + slip2screw(1:nscrew,1:nslip)) ! ! ! Irradiation strength and hardening matrices are a function of slip vectors ! Therefore, the interaction matrices need to be computed here, ! after the calculation of slip vectors if (irradiationmodel==2) then call calculateintmats4irradmodel2(nslip,dirc,norc, + irradiationparam,sintmat2,hintmat2) end if ! ! ! assign the interaction matrices ! Strength interaction between dislocations sintmat1_all(matid,:,:) = sintmat1 ! Strength interaction dislocation loops related with irradiation sintmat2_all(matid,:,:) = sintmat2 ! Latent hardening hintmat1_all(matid,:,:) = hintmat1 ! Hardening interaction matrix between dislocations hintmat2_all(matid,:,:) = hintmat2 ! ! ! ! ! ! ! assign undeformed slip directions dirc_0_all(matid,1:nslip,1:3) = dirc(1:nslip,1:3) norc_0_all(matid,1:nslip,1:3) = norc(1:nslip,1:3) trac_0_all(matid,1:nslip,1:3) = trac(1:nslip,1:3) linc_0_all(matid,1:nslip+nscrew,1:3) = linc(1:nslip+nscrew,1:3) ! ! Forest projection operator forestproj_all(matid,1:nslip,1:nslip+nscrew) = + forestproj(1:nslip,1:nslip+nscrew) ! ! ! Slip to screw mapping slip2screw_all(matid,1:nscrew,1:nslip) = + slip2screw(1:nscrew,1:nslip) ! ! ! Screw systems screw_all(matid,1:nscrew)=screw(1:nscrew) ! ! ! ! Initial GND density (may or may not be present!) gnd_0=statev_gnd_0(noel,npt,:) ! ! Calculate initial total and forest density call totalandforest( + phaid, nscrew, nslip, + gnd_0(1:nslip+nscrew), rho_0(1:nslip), rhosum_0, + for_0(1:nslip), forestproj(1:nslip,1:nslip+nscrew), + slip2screw(1:nscrew,1:nslip), + rhotot_0(1:nslip), sumrhotot_0, rhofor_0(1:nslip)) ! ! ! ! Calculate crss call slipresistance(phaid, nslip, gf, G12, + burgerv(1:nslip), sintmat1(1:nslip,1:nslip), + sintmat2(1:nslip,1:nslip), tauc_0(1:nslip), + rhotot_0, sumrhotot_0, rhofor_0(1:nslip), + substructure_0, tausolute_0, loop_0(1:maxnloop), + hardeningmodel, hardeningparam, + irradiationmodel, irradiationparam, + mattemp, tauceff_0(1:nslip)) ! ! statev_tauceff(noel,npt,1:maxnslip)=tauceff_0 ! ! initialize stress ! 3D if (ntens==6) then statev_sigma(noel,npt,1:6)=stress ! 2D-plane strain elseif (ntens==4) then statev_sigma(noel,npt,1:4)=stress ! 2D-plane stress elseif (ntens==3) then statev_sigma(noel,npt,1:2)=stress(1:2) statev_sigma(noel,npt,4)=stress(3) end if ! ! ! ! return end subroutine initialize_atfirstinc ! ! ! ! Arrays allocated subroutine allocate_arrays use globalvariables, only : numel, numpt, numdim, + Euler, materialid, featureid, phaseid, + phaseid_all, numslip_all, numscrew_all, + dirc_0_all, norc_0_all, trac_0_all, linc_0_all, + forestproj_all, slip2screw_all, screw_all, + ip_init, gradip2ip, ipcoords, ipdomain, + statev_sigma_t2, statev_gmatinv, statev_gmatinv_t, + statev_gmatinv_0, statev_gammasum, statev_gammasum_t, + statev_jacobi, statev_jacobi_t, statev_Fth, statev_Fth_t, + statev_gammadot, statev_gammadot_t, statev_Fp, statev_Fp_t, + statev_sigma, statev_sigma_t, statev_tauc, statev_tauc_t, + statev_maxx, statev_maxx_t, statev_Eec, statev_Eec_t, + statev_gnd, statev_gnd_t, statev_ssd, statev_ssd_t, + statev_forest, statev_forest_t, statev_substructure, + statev_substructure_t, statev_tausolute, statev_tausolute_t, + statev_totgammasum, statev_totgammasum_t, + statev_evmp, statev_evmp_t, statev_ssdtot, statev_ssdtot_t, + statev_Lambda, statev_Lambda_t, statev_curvature, + statev_loop, statev_loop_t, statev_gnd_0, + caratio_all, cubicslip_all, Cc_all, gf_all, + G12_all, v12_all, alphamat_all, burgerv_all, + slipmodel_all, slipparam_all, + creepmodel_all, creepparam_all, + hardeningmodel_all, hardeningparam_all, + irradiationmodel_all, irradiationparam_all, + sintmat1_all, sintmat2_all, + hintmat1_all, hintmat2_all, + backstressparam_all, statev_backstress_t, + statev_backstress, statev_plasdiss_t, + statev_theta, statev_theta_t, randnum, + statev_plasdiss, statev_tauceff, statev_Fr, + numneigh, eleneigh, iptneigh, facneigh ! use userinputs, only : maxnslip, maxnparam, + maxnmaterial, maxnloop, maxneigh implicit none integer i, j, k ! ! ! Can be different for each element allocate(Euler(numel,3)) Euler=0. ! ! For multiple grains allocate(featureid(numel,numpt)) featureid=0 ! ! For multi materials allocate(materialid(numel,numpt)) materialid=0 ! ! For multi phases allocate(phaseid(numel,numpt)) phaseid=0 ! ! Initial crystal to sample transformation ! ! For multi material case with varying number of slip systems allocate(numslip_all(maxnmaterial)) numslip_all=0 ! ! For multi material case with varying number of screw systems allocate(numscrew_all(maxnmaterial)) numscrew_all=0 ! ! Screw systems allocate(screw_all(maxnmaterial,maxnslip)) screw_all=0 ! ! ! For multi material case with varying number of slip systems allocate(phaseid_all(maxnmaterial)) phaseid_all=0 phaseid_all=0 ! ! Allocate slip systems allocate(dirc_0_all(maxnmaterial,maxnslip,3)) dirc_0_all=0. allocate(norc_0_all(maxnmaterial,maxnslip,3)) norc_0_all=0. allocate(trac_0_all(maxnmaterial,maxnslip,3)) trac_0_all=0. allocate(linc_0_all(maxnmaterial,2*maxnslip,3)) linc_0_all=0. ! ! Forest projections for GND allocate(forestproj_all(maxnmaterial,maxnslip,maxnslip*2)) forestproj_all=0. ! ! Mapping for dislocations at slip sytems to screw systems for GND allocate(slip2screw_all(maxnmaterial,maxnslip,maxnslip)) slip2screw_all=0. ! ! IP domain size (area/volume) allocate(ipdomain(numel,numpt)) ipdomain=0. ! ! ! These are needed for GND calculations allocate(ipcoords(numel,numpt,numdim)) ipcoords=0. allocate(ip_init(numel,numpt)) ip_init=0 ! very important to set to zero initially ! ! Allocate arrays related with shape functions ! Note the gradient is 3-dimensional ("numdim" is not used!) allocate(gradip2ip(numel,numpt+1,3,numpt)) gradip2ip=0. ! ! Random number for each slip system allocate(randnum(maxnslip)) ! ! Allocate state variables allocate(statev_gmatinv(numel,numpt,3,3)) statev_gmatinv=0. allocate(statev_gmatinv_t(numel,numpt,3,3)) statev_gmatinv_t=0. allocate(statev_gmatinv_0(numel,numpt,3,3)) statev_gmatinv_0=0. ! do i=1,numel do j=1,numpt do k=1,3 statev_gmatinv(i,j,k,k)=1. statev_gmatinv_t(i,j,k,k)=1. statev_gmatinv_0(i,j,k,k)=1. end do end do end do ! allocate(statev_gammasum(numel,numpt,maxnslip)) statev_gammasum=0. allocate(statev_gammasum_t(numel,numpt,maxnslip)) statev_gammasum_t=0. allocate(statev_gammadot(numel,numpt,maxnslip)) statev_gammadot=0. allocate(statev_gammadot_t(numel,numpt,maxnslip)) statev_gammadot_t=0. allocate(statev_Fp(numel,numpt,3,3)) statev_Fp=0. allocate(statev_Fp_t(numel,numpt,3,3)) statev_Fp_t=0. allocate(statev_Fth(numel,numpt,3,3)) statev_Fth=0. allocate(statev_Fth_t(numel,numpt,3,3)) statev_Fth_t=0. allocate(statev_Fr(numel,numpt,3,3)) statev_Fr=0. ! do i=1,numel do j=1,numpt do k=1,3 statev_Fp(i,j,k,k)=1. statev_Fp_t(i,j,k,k)=1. statev_Fth(i,j,k,k)=1. statev_Fth_t(i,j,k,k)=1. statev_Fr(i,j,k,k)=1. end do end do enddo ! allocate(statev_sigma(numel,numpt,6)) statev_sigma=0. allocate(statev_sigma_t(numel,numpt,6)) statev_sigma_t=0. allocate(statev_sigma_t2(numel,numpt,6)) statev_sigma_t2=0. allocate(statev_jacobi(numel,numpt,6,6)) statev_jacobi=0. allocate(statev_jacobi_t(numel,numpt,6,6)) statev_jacobi_t=0. ! do i=1,numel do j=1,numpt do k=1,6 statev_jacobi(i,j,k,k)=1. statev_jacobi_t(i,j,k,k)=1. end do end do enddo ! allocate(statev_tauc(numel,numpt,maxnslip)) statev_tauc=0. allocate(statev_tauc_t(numel,numpt,maxnslip)) statev_tauc_t=0. ! allocate(statev_tauceff(numel,numpt,maxnslip)) statev_tauceff=0. ! allocate(statev_maxx(numel,numpt)) statev_maxx=0. allocate(statev_maxx_t(numel,numpt)) statev_maxx_t=0. allocate(statev_Eec(numel,numpt,6)) statev_Eec=0. allocate(statev_Eec_t(numel,numpt,6)) statev_Eec_t=0. ! ! Incompatibility allocate(statev_Lambda(numel,numpt,9)) statev_Lambda = 0. allocate(statev_Lambda_t(numel,numpt,9)) statev_Lambda_t = 0. ! Lattice curvature allocate(statev_curvature(numel,numpt,9)) statev_curvature = 0. ! ! Allocated as twice the maxslip to leave space for screws allocate(statev_gnd(numel,numpt,2*maxnslip)) statev_gnd=0. allocate(statev_gnd_t(numel,numpt,2*maxnslip)) statev_gnd_t=0. allocate(statev_gnd_0(numel,numpt,2*maxnslip)) statev_gnd_0=0. allocate(statev_ssd(numel,numpt,maxnslip)) statev_ssd=0. allocate(statev_ssd_t(numel,numpt,maxnslip)) statev_ssd_t=0. allocate(statev_ssdtot(numel,numpt)) statev_ssdtot=0. allocate(statev_ssdtot_t(numel,numpt)) statev_ssdtot_t=0. allocate(statev_forest(numel,numpt,maxnslip)) statev_forest=0. allocate(statev_forest_t(numel,numpt,maxnslip)) statev_forest_t=0. allocate(statev_substructure(numel,numpt)) statev_substructure=0. allocate(statev_substructure_t(numel,numpt)) statev_substructure_t=0. allocate(statev_tausolute(numel,numpt)) statev_tausolute=0. allocate(statev_tausolute_t(numel,numpt)) statev_tausolute_t=0. allocate(statev_totgammasum(numel,numpt)) statev_totgammasum=0. allocate(statev_totgammasum_t(numel,numpt)) statev_totgammasum_t=0. allocate(statev_evmp(numel,numpt)) statev_evmp=0. allocate(statev_evmp_t(numel,numpt)) statev_evmp_t=0. ! allocate(statev_plasdiss(numel,numpt)) statev_plasdiss=0. allocate(statev_plasdiss_t(numel,numpt)) statev_plasdiss_t=0. ! allocate(statev_theta(numel,numpt)) statev_theta=0. allocate(statev_theta_t(numel,numpt)) statev_theta_t=0. ! ! allocate as sparse array allocate(statev_loop(numel,numpt,maxnloop)) statev_loop=0. allocate(statev_loop_t(numel,numpt,maxnloop)) statev_loop_t=0. ! allocate(statev_backstress(numel,numpt,maxnslip)) statev_backstress=0. allocate(statev_backstress_t(numel,numpt,maxnslip)) statev_backstress_t=0. ! ! Material parameters allocate(caratio_all(maxnmaterial)) caratio_all=0. allocate(cubicslip_all(maxnmaterial)) cubicslip_all=0 allocate(Cc_all(maxnmaterial,6,6)) Cc_all=0. allocate(gf_all(maxnmaterial)) gf_all=0. allocate(G12_all(maxnmaterial)) G12_all=0. allocate(v12_all(maxnmaterial)) v12_all=0. allocate(alphamat_all(maxnmaterial,3,3)) alphamat_all=0. allocate(burgerv_all(maxnmaterial,maxnslip)) burgerv_all=0. ! ! ! Material model parameters allocate(slipmodel_all(maxnmaterial)) slipmodel_all=0 allocate(slipparam_all(maxnmaterial,maxnparam)) slipparam_all=0. allocate(creepmodel_all(maxnmaterial)) creepmodel_all=0 allocate(creepparam_all(maxnmaterial,maxnparam)) creepparam_all=0. allocate(hardeningmodel_all(maxnmaterial)) hardeningmodel_all=0 allocate(hardeningparam_all(maxnmaterial,maxnparam)) hardeningparam_all=0. allocate(irradiationmodel_all(maxnmaterial)) irradiationmodel_all=0 allocate(irradiationparam_all(maxnmaterial,maxnparam)) irradiationparam_all=0. ! allocate(backstressparam_all(maxnmaterial,maxnparam)) backstressparam_all=0. ! ! Interaction matrices allocate(sintmat1_all(maxnmaterial,maxnslip,maxnslip)) sintmat1_all=0. allocate(sintmat2_all(maxnmaterial,maxnslip,maxnslip)) sintmat2_all=0. allocate(hintmat1_all(maxnmaterial,maxnslip,maxnslip)) hintmat1_all=0. allocate(hintmat2_all(maxnmaterial,maxnslip,maxnslip)) hintmat2_all=0. ! ! allocate(numneigh(numel,numpt)) numneigh=0 allocate(eleneigh(numel,numpt,maxneigh)) eleneigh=0 allocate(iptneigh(numel,numpt,maxneigh)) iptneigh=0 allocate(facneigh(numel,numpt,maxneigh)) facneigh=0. ! ! return end subroutine allocate_arrays ! ! ! ! ! ! ! ! ! ! ! ! ! This subroutine assigns identity tensors ! USES: I3(3,3),I6(6,6),I9(9,9),eijk(3,3,3) subroutine initialize_identity use globalvariables, only : I3, I6, I9, eijk implicit none integer :: i, j, k, l ! I3=0. I6=0. I9=0. ! ! Identity matrix (3x3) do i=1,3 I3(i,i)=1. enddo ! ! ! Identity matrix (6x6) do i=1,6 I6(i,i)=1. enddo ! ! Identity matrix (9x9) do i=1,9 I9(i,i)=1. enddo ! ! ! Permutation symbol (3x3x3) eijk=0. eijk(1,2,3)=1. eijk(2,3,1)=1. eijk(3,1,2)=1. eijk(3,2,1)=-1. eijk(2,1,3)=-1. eijk(1,3,2)=-1. ! return end subroutine initialize_identity ! ! ! This subroutine assigns orientations subroutine initialize_orientations(Euler,gmatinv) use utilities, only: Euler2ori implicit none real(8), intent(in) :: Euler(3) real(8), intent(out) :: gmatinv(3,3) real(8) :: g(3,3) ! ! ! Sample to crystal transformation call Euler2ori(Euler,g) ! ! ! Crystal to sample tranformation gmatinv = transpose(g) ! ! return end subroutine initialize_orientations ! ! ! All slip systems of different phases are initialized ! 1: BCC ! 2: FCC ! 3: HCP ! 4: alpha-uranium ! Forest projections are initialized here! ! The number of slip systems will be identified in materials card ! Slip directions subroutine initialize_slipvectors(phaid,nslip,nscrew,caratio, + screw,dirc,norc,trac,linc,forestproj,slip2screw) use userinputs, only : maxnslip use globalvariables, only : dir1, nor1, dir2, nor2, + dir3h, nor3h, dir4, nor4 use utilities, only: vecprod use errors, only: error implicit none ! Inputs integer, intent(in) :: phaid, nslip, nscrew real(8), intent(in) :: caratio ! Outputs real(8), dimension(nslip,3), intent(out) :: dirc real(8), dimension(nslip,3), intent(out) :: norc real(8), dimension(nslip,3), intent(out) :: trac real(8), dimension(nslip+nscrew,3), intent(out) :: linc real(8), dimension(nslip,nslip+nscrew), intent(out) :: forestproj real(8), dimension(nscrew,nslip), intent(out) :: slip2screw integer, dimension(nscrew), intent(out) :: screw ! ! Local variables used within this subroutine real(8) :: dir(48,3), nor(48,3) real(8) :: sdir(nslip+nscrew,3) real(8) :: res integer :: is, i, j ! ! caratio (c/a) ratio is only used for HCP materials ! So, caratio can take any value for other phases than HCP ! ! Reset arrays dirc=0.; norc=0. dir=0.; nor=0. ! ! BCC phase if (phaid == 1) then ! ! ! ! Normalize slip directions and normals do is=1, 48 dir(is,:) = dir1(is,:)/norm2(dir1(is,:)) ! nor(is,:) = nor1(is,:)/norm2(nor1(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! FCC phase elseif (phaid == 2) then ! ! ! ! ! Normalize slip directions and normals do is=1,18 dir(is,:) = dir2(is,:)/norm2(dir2(is,:)) ! nor(is,:) = nor2(is,:)/norm2(nor2(is,:)) end do ! ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! ! ! ! ! HCP phase elseif (phaid == 3) then ! ! slip direction conversion ! [uvtw]->[3u/2 (u+2v)*sqrt(3)/2 w*(c/a)]) do is=1,30 dir(is,1) = 3.*dir3h(is,1)/2. dir(is,2) = (dir3h(is,1) + 2.*dir3h(is,2))*sqrt(3.)/2. dir(is,3) = dir3h(is,4)*caratio end do ! ! ! slip plane conversion ! (hkil)->(h (h+2k)/sqrt(3) l/(c/a)) do is=1,30 nor(is,1) = nor3h(is,1) nor(is,2) = (nor3h(is,1) + 2.*nor3h(is,2))/sqrt(3.) nor(is,3) = nor3h(is,4)/caratio end do ! ! Normalize slip directions and normals do is=1,30 dir(is,:) = dir(is,:)/norm2(dir(is,:)) ! nor(is,:) = nor(is,:)/norm2(nor(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! ! ! alpha-Uranium elseif (phaid == 4) then ! ! Normalize slip directions and normals do is=1,8 dir(is,:) = dir4(is,:)/norm2(dir4(is,:)) ! nor(is,:) = nor4(is,:)/norm2(nor4(is,:)) end do ! ! Assign the slip system dirc(1:nslip,1:3) = dir(1:nslip,1:3) norc(1:nslip,1:3) = nor(1:nslip,1:3) ! else ! ! Error message needed! ! Phase number is not within the available options call error(4) ! ! ! end if ! ! ! Transverse directions trac = 0. do i = 1, nslip ! call vecprod(dirc(i,1:3),norc(i,1:3),trac(i,1:3)) ! end do ! ! ! ! Dislocation line directions: ! ! If screw systems are defined if (nscrew>0) then ! ! ! Build up the screw slip systems select case(phaid) ! ! ! ! BCC case(1) ! ! a/2<111> screw(1) = 1 screw(2) = 2 screw(3) = 3 screw(4) = 6 ! ! ! FCC case(2) ! screw(1) = 1 screw(2) = 2 screw(3) = 3 screw(4) = 4 screw(5) = 6 screw(6) = 8 ! ! ! ! HCP case(3) ! ! slip screw(1) = 1 screw(2) = 2 screw(3) = 3 ! screw(4) = 7 screw(5) = 8 screw(6) = 9 screw(7) = 10 screw(8) = 11 screw(9) = 12 ! ! ! ! end select ! end if ! ! ! ! slip2screw mapping slip2screw = 0. ! Loop through the defined screw systems for equivalency do i = 1, nscrew ! ! Screw system corresponding slip system is = screw(i) ! ! Set the mapping to 1/2 slip2screw(i,is) = 0.5 ! ! Loop through all possible slip sytems do j = 1, nslip ! ! Caclulate the difference in Burgers vector res = dot_product(dirc(is,1:3),dirc(j,1:3)) ! ! If all the components of the vector is the same if (abs(res)>0.99) then ! ! Assign the component of mapping as 1/2 slip2screw(i,j) = 0.5 ! ! end if ! ! Loop for slip sytems end do ! ! ! Loop for screw systems end do ! ! ! ! ! ! ! Calculate line directions for edge dislocations linc = 0. do i = 1, nslip ! call vecprod(dirc(i,1:3),norc(i,1:3),linc(i,1:3)) ! end do ! ! Calculate line directions for screw dislocations ! If screw dislocations exist if (nscrew>0) then ! do i = 1, nscrew ! linc(nslip+i,1:3) = dirc(screw(i),1:3) ! end do ! end if ! ! ! Compute forest projection operator for GNDs forestproj = 0. do i = 1, nslip ! do j = 1, nslip+nscrew ! forestproj(i,j) = + abs(dot_product(norc(i,1:3),linc(j,1:3))) ! enddo ! enddo ! ! ! ! ! ! ! ! return end subroutine initialize_slipvectors ! ! ! ! end module initializations ================================================ FILE: OXFORD-UMAT v3.3/innerloop.f ================================================ module innerloop implicit none contains ! ! subroutine Dunne_innerloop( + Schmid,SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + creepmodel,creepparam, + irradiationmodel, + irradiationparam, + dt,sigmatr,tauceff, + rhofor,X,gammasum, + sigma,tau,cpconv, + gammadot,Lp, + Dp,dstranp33, + invdpsi_dsigma,iter) ! use globalvariables, only : I6 ! use userinputs, only : maxniter, tolerance, + maxnparam, maxnloop, SVDinversion, maxnslip ! use utilities, only : matvec6, + nolapinverse, SVDinverse ! use slip, only : sinhslip, doubleexpslip, + powerslip ! use creep, only : expcreep ! use errors, only : error ! implicit none ! ! INPUTS ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! creep model no. integer, intent(in) :: creepmodel ! creep model parameters real(8), intent(in) :: creepparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! ! time increment real(8), intent(in) :: dt ! trial stress real(8), intent(in) :: sigmatr(6) ! overall crss real(8), intent(in) :: tauceff(nslip) ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! total slip per slip system accumulated over the time ! at the current time step real(8), intent(in) :: gammasum(nslip) ! ! INOUTS ! Cauchy stress real(8), intent(inout) :: sigma(6) ! overall crss real(8), intent(inout) :: tau(nslip) ! convergence flag integer, intent(inout) :: cpconv ! ! OUTPUTS ! slip rates at the current time step real(8), intent(out) :: gammadot(nslip) ! plastic velocity gradient real(8), intent(out) :: Lp(3,3) ! Total deformation rate real(8), intent(out) :: Dp(3,3) ! Total deformation rate real(8), intent(out) :: dstranp33(3,3) ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8), intent(out) :: invdpsi_dsigma(6,6) ! number of iterations integer, intent(out) :: iter ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3) ! plastic velocity gradient for creep real(8) Lp_c(3,3) ! Sym part of plastic velocity gradient for slip real(8) Dp_s(3,3) ! Sym part of plastic velocity gradient for creep real(8) Dp_c(3,3) ! plastic tangent stiffness for slip real(8) Pmat_s(6,6) ! plastic tangent stiffness for creep real(8) Pmat_c(6,6) ! tangent matrix for NR iteration real(8) Pmat(6,6) ! slip rates for slip real(8) gammadot_s(nslip) ! slip rates for creep real(8) gammadot_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtau_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtau_c(nslip) ! derivative of slip rates wrto rss for slip real(8) dgammadot_dtauc_s(nslip) ! derivative of slip rates wrto rss for creep real(8) dgammadot_dtauc_c(nslip) ! ! plastic strain increment real(8) :: dstranp(6) ! ! ! Jacobian of the Newton-Raphson loop ! and its inverse real(8) :: dpsi_dsigma(6,6) ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psi(6) ! ! ! ! stress increment real(8) :: dsigma(6) ! ! error flag for svd inversion integer :: err ! integer :: is ! ! Reset variables for the inner iteration psinorm = 1. iter = 0 ! ! ! Newton-Raphson (NR) iteration to find stress increment do while ((psinorm >= tolerance) +.and.(iter < maxniter).and.(cpconv == 1)) ! ! ! Slip models to find slip rates ! ! none if (slipmodel == 0) then ! Lp_s = 0. Dp_s = 0. Pmat_s = 0. gammadot_s = 0. ! ! ! sinh law elseif (slipmodel == 1) then ! call sinhslip(Schmid,SchmidxSchmid, + tau,X,tauceff,rhofor,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s,Dp_s,Pmat_s, + gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! ! exponential law elseif (slipmodel == 2) then ! ! call doubleexpslip(Schmid,SchmidxSchmid, + tau,X,tauceff,burgerv,dt,nslip,phaid, + mattemp,slipparam,irradiationmodel, + irradiationparam,cubicslip,caratio, + Lp_s,Dp_s,Pmat_s,gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! ! power law elseif (slipmodel == 3) then ! ! call powerslip(Schmid,SchmidxSchmid, + tau,X,tauceff,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s,Dp_s,Pmat_s, + gammadot_s,dgammadot_dtau_s, + dgammadot_dtauc_s) ! ! end if ! ! ! ! Slip due to creep if (creepmodel == 0) then ! ! Lp_c = 0. Dp_c = 0. Pmat_c = 0. gammadot_c = 0. ! ! elseif (creepmodel == 1) then ! ! ! call expcreep(Schmid,SchmidxSchmid, + tau,X,tauceff,dt,nslip,phaid, + mattemp,creepparam,gammasum,Lp_c,Dp_c,Pmat_c, + gammadot_c,dgammadot_dtau_c, + dgammadot_dtauc_c) ! ! ! ! endif ! ! ! Sum the effects of creep and slip rates Lp = Lp_s + Lp_c Dp = Dp_s + Dp_c Pmat = Pmat_s + Pmat_c gammadot = gammadot_s + gammadot_c ! ! ! ! Check for NaN in the slip rates if(any(gammadot/=gammadot)) then ! did not converge cpconv = 0 return endif ! ! ! Check for Inf in the slip rate vector if(any(gammadot*0./=gammadot*0.)) then ! did not converge cpconv = 0 return endif ! ! Check for the Pmat if(any(Pmat /= Pmat)) then ! did not converge cpconv = 0 return endif ! ! ! ! Plastic strain increment dstranp33 = Dp*dt call matvec6(dstranp33,dstranp) dstranp(4:6)=2.*dstranp(4:6) ! ! ! ! ! Tangent-stiffness calculation ! Jacobian of the Newton loop (see Dunne, Rugg, Walker, 2007) dpsi_dsigma = I6 + matmul(Cs, Pmat) ! ! ! ! Invert (double precision version) call nolapinverse(dpsi_dsigma,invdpsi_dsigma,6) ! ! ! If inversion is not successfull! ! Check for the inverse if(any(invdpsi_dsigma /= invdpsi_dsigma)) then ! ! Try using singular value decomposition ! If singular value decomposition is ON if (SVDinversion==1) then ! ! Invert call SVDinverse(dpsi_dsigma,6,invdpsi_dsigma,err) ! ! ! else ! ! ! did not converge err = 1 ! ! ! end if ! ! Check again and if still not successfull if(err==1) then ! did not converge cpconv = 0 return end if ! ! endif ! ! ! ! residual (predictor - corrector scheme) psi = sigmatr - sigma - matmul(Cs,dstranp) ! ! norm of the residual psinorm = sqrt(sum(psi*psi)) ! ! ! stress increment dsigma = matmul(invdpsi_dsigma,psi) ! ! ! stress update sigma = sigma + dsigma ! ! ! ! calculate resolved shear stress on slip systems ! rss and its sign do is = 1, nslip tau(is) = dot_product(Schmidvec(is,:),sigma) end do ! ! ! increment iteration no. iter = iter + 1 ! ! End of NR iteration (inner loop) end do ! ! ! ! ! return end subroutine Dunne_innerloop ! ! ! ! ! ! ! ! ! This subroutine is written by Chris Hardie (11/10/2023) ! Explicit state update rule ! Solution using state variables at the former time step subroutine Hardie_innerloop( + Schmid,SchmidxSchmid,Schmidvec, + phaid,nslip,mattemp,Cs, + burgerv,cubicslip,caratio, + slipparam,slipmodel, + irradiationmodel, + irradiationparam, + dt,sigmatr, + abstautr,signtautr, + tauceff,rhofor,X, + sigma,iterinverse) ! use globalvariables, only : I3, I6, smallnum ! use userinputs, only : maxniter, maxnparam, maxnslip, + inversetolerance ! use utilities, only : matvec6, gmatvec6 ! use slipreverse, only : sinhslipreverse, powerslipreverse, + doubleexpslipreverse ! ! implicit none ! ! ! INPUTS ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! Vectorized Schmid tensor real(8), intent(in) :: Schmidvec(nslip,6) ! phase-id integer, intent(in) :: phaid ! number of slip sytems integer, intent(in) :: nslip ! temperature real(8), intent(in) :: mattemp ! elastic compliance real(8), intent(in) :: Cs(6,6) ! Burgers vectors real(8), intent(in) :: burgerv(nslip) ! flag for cubic slip systems integer, intent(in) :: cubicslip ! c/a ratio for hcp crystals real(8), intent(in) :: caratio ! slip model no. integer, intent(in) :: slipmodel ! slip model parameters real(8), intent(in) :: slipparam(maxnparam) ! irrradiation model no. integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! ! time increment real(8), intent(in) :: dt ! trial stress real(8), intent(in) :: sigmatr(6) ! absolute value of trial RSS real(8), intent(in) :: abstautr(nslip) ! sign of trial RSS real(8), intent(in) :: signtautr(nslip) ! overall crss real(8), intent(in) :: tauceff(nslip) ! total forest dislocation density per slip system at the former time step real(8), intent(in) :: rhofor(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! ! OUTPUTS ! Cauchy stress real(8), intent(out) :: sigma(6) ! Number of iterations integer, intent(out) :: iterinverse ! ! ! Local variables used within this subroutine ! ! plastic velocity gradient for slip real(8) Lp_s(3,3) ! slip rates for slip real(8) gammadot_s(nslip) ! absolute slip rates real(8) absgammadot_s(nslip) ! sign of gammadot_s real(8) signgammadot_s(nslip) ! derivative of rss wrt slip rates for slip real(8) dtau_dgammadot_s(nslip,nslip) ! derrivative of error function real(8) dpsi_dgammadot(nslip,nslip) ! inverse of derivative above real(8) dpsi_dgammadotinv(nslip,nslip) ! slip correction real(8) dgammadot(nslip) ! Derivative of slip law in forward direction real(8) :: dgammadot_dtau(nslip) ! rss at the former time step real(8) :: tau(nslip), tau_e(nslip) ! absolute value of rss at the former time step real(8) :: abstau(nslip) ! sign of rss at the former time step real(8) :: signtau(nslip) ! ! residual of the Newton-Raphson loop ! vector and scalar real(8) :: psinorm, psinorm2, psi(nslip) ! ! Forward Jacobian real(8) :: Pmat(6,6) real(8) :: dpsi_dsigma(6,6) ! LU decomposition matricies for calculation of determinant ! real(8), allocatable :: l(:,:), u(:,:) ! integer, allocatable :: p(:,:) ! ! plastic strain increment real(8) :: plasstraininc33(3,3), plasstraininc(6) real(8) :: plasstrainrate(3,3) ! ! Shear Stiffness Matrix real(8) :: G(nslip,nslip) ! ! other variables real(8) :: dummy6(6), damping, iter_max, activesum integer :: is ! ! allocate(dpsi_dsigma(6,6),l(6,6),u(6,6),p(6,6)) ! ! ! Reset variables for iteration iter_max=10000.0 iterinverse = 0 psinorm = 1.0d+200 psinorm2 = 1.0d+200 ! ! Initial guess for NR scheme ! Stress at the former time step sigma = sigmatr abstau = abstautr signtau =signtautr tau_e = abstau*signtau gammadot_s=0. absgammadot_s=0. Lp_s=0. ! ! Build Shear stiffness matrix ! G = 0. do is = 1, nslip dummy6 = matmul(Cs, Schmidvec(is,:)) G(is,is) = dot_product(Schmidvec(is,:), dummy6) end do ! ! Newton-Raphson (NR) iteration to find stress increment do while ((psinorm >= inversetolerance))! .OR. (psinorm2 >= tol2))!((psinorm >= tol)) !((psinorm >= tol) .AND. (psinorm2 >= tol2)) ! ! increment iteration no. iterinverse = iterinverse + 1 ! ! Slip models to find slip rates ! ! none if (slipmodel == 0) then ! gammadot_s = 0. ! ! sinh law elseif (slipmodel == 1) then ! call sinhslipreverse( + Schmid,SchmidxSchmid,signtau, + abstau,tau,X,tauceff,rhofor,burgerv,dt, + nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio,Lp_s, + absgammadot_s, gammadot_s, + dtau_dgammadot_s, dgammadot_dtau,Pmat) ! ! ! ! double exponent law (exponential law) elseif (slipmodel == 2) then ! ! call doubleexpslipreverse( + Schmid,SchmidxSchmid, + tau,X,abstau,signtau,tauceff, + burgerv,dt,nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp_s,Pmat,absgammadot_s,gammadot_s, + dtau_dgammadot_s,dgammadot_dtau) ! ! ! power law elseif (slipmodel == 3) then ! ! call powerslipreverse( + Schmid,SchmidxSchmid, + tau,X,abstau,signtau,tauceff, + burgerv,dt,nslip,phaid,mattemp,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp_s,absgammadot_s, gammadot_s,dtau_dgammadot_s, + dgammadot_dtau, Pmat) ! ! end if ! ! calculate resolved shear stress on slip systems ! rss and its sign activesum=0 do is = 1, nslip tau(is) = signtau(is)*abstau(is) if (abstau(is) .GE. tauceff(is)) then activesum=activesum+1.0 end if end do ! ! residual (predictor - corrector) including backstress psi = tau - X - tau_e ! ! norm of the residual psinorm2 = sqrt(sum(psi*psi)) ! ! Forward Jacobian dgammadot_dtau=abs(dgammadot_dtau)*dt psinorm = maxval(dgammadot_dtau) ! ! ! CALL LU_DECOMP(dpsi_dsigma, p, l, u) ! ! ! ! dpsi_dgammadot ! dpsi_dgammadot = dtau_dgammadot_s + G*dt ! ! Invert diagonal matrix dpsi_dgammadotinv=0. do is = 1, nslip dpsi_dgammadotinv(is,is)=1/dpsi_dgammadot(is,is) end do ! ! damping=min(2.0/activesum, 1.0)!0.5) ! damping = 0.5 ! if (psinorm > 200.0) then ! damping=min(2.0/activesum, 0.5) ! end if ! ! slip increment dgammadot = matmul(dpsi_dgammadotinv,psi) ! gammadot_s = gammadot_s-damping*dgammadot ! ! ! Calculate Plastic Strain Lp_s=0.; plasstrainrate=0. do is = 1, nslip Lp_s = Lp_s + gammadot_s(is)*Schmid(is,:,:) plasstrainrate = plasstrainrate + + gammadot_s(is)*Schmid(is,:,:) absgammadot_s(is) = abs(gammadot_s(is)) signgammadot_s(is)= sign(1.0,gammadot_s(is)) end do ! ! plastic strain rate plasstrainrate = (plasstrainrate + + transpose(plasstrainrate))/2. ! ! ! Plastic strain increment plasstraininc33 = plasstrainrate*dt call matvec6(plasstraininc33,plasstraininc) plasstraininc(4:6)=2.*plasstraininc(4:6) call gmatvec6(plasstraininc33,plasstraininc) ! ! Calculate rss following plastic relaxation ! sigma=sigmatr-matmul(Cs,plasstraininc) ! ! calculate resolved shear stress on slip systems ! rss and its sign do is = 1, nslip tau_e(is) = dot_product(Schmidvec(is,:),sigma) tau(is) = tau_e(is) signtau(is) = sign(1.0,tau(is)) abstau(is) = abs(tau(is)) end do ! ! check if slip is changing direction do is = 1, nslip if (signgammadot_s(is) /= signtau(is)) then gammadot_s(is)=0.0 absgammadot_s(is)=0.0 end if end do ! if (iterinverse > iter_max) then psinorm=1e-10 psinorm2=1e-10 end if ! ! End of NR iteration for stress approximation end do !active_s=1 !do is = 1, nslip ! if (absgammadot_s(is) > 0.0) then ! active_s(is)=1 ! end if !end do return end subroutine Hardie_innerloop ! end module innerloop ================================================ FILE: OXFORD-UMAT v3.3/irradiation.f ================================================ ! Specific subroutines for irradiation models ! ! Strength and hardening interaction matrices for irradiation model-2 module irradiation implicit none ! ! contains ! ! ! Subroutine to calculate strength interaction matrix for ! irradiation model-2 ! Ref: https://doi.org/10.1016/j.actamat.2022.118361 subroutine calculateintmats4irradmodel2(nslip, dirc, norc, + irradiationparam, sintmat, hintmat) use userinputs, only: maxnslip, maxnparam implicit none ! Inputs ! Number of slip systems integer, intent(in) :: nslip ! Normalize slip directions real(8), intent(in) :: dirc(maxnslip,3) ! Normalized slip plane normals real(8), intent(in) :: norc(maxnslip,3) ! Irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! Outputs ! Strength interaction matrix ! Strength interaction: sintmat (nslip x nloop) real(8), intent(out) :: sintmat(maxnslip,maxnslip) ! Hardening (Softening) interaction matrix ! Hardening interaction: hintmat (nloop x nslip) real(8), intent(out) :: hintmat(maxnslip,maxnslip) ! Variables used in this subroutine integer :: nloop ! reaction vector real(8) :: r(3) ! Projected vector (reaction segment) real(8) :: a integer :: i, j, ind ! ! ! ! ! Reset arrays sintmat = 0. hintmat = 0. ! ! ! Number of types of defects nloop = int(irradiationparam(1)) ! ! do i=1,nslip ! do j=1,nloop ! ! Slip system index corresponding to the defect type ind = int(irradiationparam(7+j)) ! ! What is the reaction product for the gliding dislocation on slip ! system 'i' and defect type 'j'? r = dirc(i,:) + dirc(ind,:) ! ! Is this reaction in the slip plane of slip system 'i'? a = dot_product(norc(i,:), r) ! if (a==0.) then sintmat(i,j)=irradiationparam(12) hintmat(j,i)=irradiationparam(14) else sintmat(i,j)=irradiationparam(11) hintmat(j,i)=irradiationparam(13) end if ! end do ! end do ! ! ! ! ! ! ! end subroutine calculateintmats4irradmodel2 ! ! ! end module irradiation ================================================ FILE: OXFORD-UMAT v3.3/meshprop.f ================================================ ! Jan. 01st, 2023 ! Eralp Demir ! ! ! ABAQUS Analysis User's Manual (6.10) ! 2D-Plane strain elements ! CPE4 4-node bilinear 4-integration points ! CPE6 6-node quadratic 3-integration points ! CPE8 8-node biquadratic 9-integration points ! CPE8R 8-node biquadratic 4-integration points (reduced integration) ! ! ! 2D-Plane stress elements ! CPS4 4-node bilinear 4-integration points ! CPS6 6-node quadratic 3-integration points ! CPS8 8-node biquadratic 9-integration points ! CPS8R 8-node biquadratic 4-integration points (reduced integration) ! ! ! 3D - element types ! C3D6 6-node linear triangular prism 4-integration points ! C3D8 8-node linear brick 8-integration points ! C3D10 10-node quadratic tetrahedron 4-integration points ! C3D15 15-node quadratic triangular prism 9-integration points ! C3D20 20-node quadratic brick 27-integration points ! C3D20R 20-node quadratic brick 8-integration points (reduced integration) ! module meshprop implicit none contains ! ! Finite element properties ! based on element type subroutine feprop use errors, only : error use globalvariables, only : eltyp, numel, + numtens, numdim, numpt, nnpel, + Nmat, invNmat, dNmat, dNmatc, + ipweights, calculategradient use userinputs, only : gndlinear, gndmodel use utilities, only: nolapinverse ! ! implicit none ! ! Gaussian point coordinates real(8) :: a, b ! Parametric coordinates real(8) :: g, h, r ! ! Separate variables are used for each element type ! in order to avoid using allocatables! ! ! Element type: CPE4 or CPS4 or CPE8R or CPS8R ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP4(4,2) ! Shape functions (nnpel) real(8) :: N_CP4(4) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_CP4(2,4) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP4(4,4) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP4(4,4) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_CP4(4,2,4) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP4(2,4) ! ! ! Element type: CPE6 or CPS6 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP6(3,2) ! Shape functions (nnpel) ! Linear version real(8) :: N_CP3(3) ! Quadratic version real(8) :: N_CP6(6) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_CP3(2,3) ! Quadratic version real(8) :: dN_CP6(2,6) ! Shape function matrix ! Linear version (numpt x nnpel) real(8) :: Nmat_CP3(3,3) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_CP6(6,6) ! Inverse of the shape function matrix (nnpel x numpt) ! Linear version real(8) :: invNmat_CP3(3,3) ! Quadratic version real(8) :: invNmat_CP6(6,3) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_CP3(3,2,3) ! Quadratic version real(8) :: dNmat_CP6(3,2,6) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_CP3(2,3) ! Quadratic version real(8) :: dNmatc_CP6(2,6) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_CP6(3,2) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_CP3(3,2) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_CP6(6,3) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_CP6(6,6) ! ! ! Element type: CPE8 or CPS8 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_CP8(9,2) ! Shape functions (nnpel) real(8) :: N_CP8(8) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_CP8(2,8) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP8(9,8) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_CP8(8,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP8(8,9) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_CP8(9,2,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP8(2,8) ! Square matrix (nnpel x nnpel) real(8) :: NTN_CP8(8,8) ! ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_CP8lin(9,4) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_CP8lin(4,9) ! Shape function derivatives (numpt x numdim x nnpel) real(8) :: dNmat_CP8lin(9,2,4) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_CP8lin(2,4) ! Square matrix (nnpel x nnpel) real(8) :: NTN_CP8lin(4,4) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_CP8lin(4,4) ! ! ! Element type: C3D8 or C3D20R ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D8(8,3) ! Shape functions (nnpel) real(8) :: N_C3D8(8) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_C3D8(3,8) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D8(8,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D8(8,8) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_C3D8(8,3,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D8(3,8) ! ! ! Element type: C3D10 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D10(4,3) ! Shape functions (nnpel) ! Linear version real(8) :: N_C3D4(4) ! Quadratic version real(8) :: N_C3D10(10) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_C3D4(3,4) ! Quadratic version real(8) :: dN_C3D10(3,10) ! Shape function matrix ! Linear version (numpt x nnpel) real(8) :: Nmat_C3D4(4,4) ! Linear version (numpt_sub x nnpel) real(8) :: Nmat_sub_C3D4(6,4) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_C3D10(10,10) ! Inverse of the shape function matrix (nnpel x numpt) ! Linear version real(8) :: invNmat_C3D4(4,4) ! Quadratic version real(8) :: invNmat_C3D10(10,4) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_C3D4(4,3,4) ! Quadratic version real(8) :: dNmat_C3D10(4,3,10) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_C3D4(3,4) ! Quadratic version real(8) :: dNmatc_C3D10(3,10) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D10(6,3) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D4(6,3) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_C3D10(10,4) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_C3D10(10,10) ! ! ! ! Element type: C3D15 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D15(9,3) ! Shape functions (nnpel) ! Linear version real(8) :: N_C3D6(6) ! Quadratic version real(8) :: N_C3D15(15) ! Shape function derivatives (numdim x nnpel) ! Linear version real(8) :: dN_C3D6(3,6) ! Quadratic version real(8) :: dN_C3D15(3,15) ! Shape function matrix ! Linear version (numpt x nnpel_sub) real(8) :: Nmat_C3D6(9,6) ! Quadratic version (numpt x nnpel_sub) real(8) :: Nmat_sub_C3D6(6,6) ! Quadratic version (numpt+numpt_sub x nnpel) real(8) :: Nmat_C3D15(15,15) ! Coefficient matrix ! Linear version (nnpel_sub x numpt) real(8) :: coeff_C3D6(6,6) ! Linear version (nnpel_sub x numpt) real(8) :: invNmat_C3D6(6,9) ! Quadratic version (nnpel x numpt) real(8) :: invNmat_C3D15(15,9) ! Shape function derivatives (numdim x nnpel x numpt) ! Linear version real(8) :: dNmat_C3D6(9,3,6) ! Quadratic version real(8) :: dNmat_C3D15(9,3,15) ! Shape function derivatives at the center (numdim x nnpel) ! Linear version real(8) :: dNmatc_C3D6(3,6) ! Quadratic version real(8) :: dNmatc_C3D15(3,15) ! Sub element properties ! Global coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D15(6,3) ! Local coordinates (numpt_sub x numdim) real(8) :: GPcoords_sub_C3D6(6,3) ! Sub element mapping for additional IPs (numpt+numpt_sub x numpt) real(8) :: IPmap_C3D15(15,9) ! Inverse of the square matrix (nnpel x numpt + numpt_sub) real(8) :: coeff_C3D15(15,15) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D6(6,6) ! ! ! ! ! Element type: C3D20 ! GP coordinates (numpt x numdim) real(8) :: GPcoords_C3D20(27,3) ! Shape functions (nnpel) real(8) :: N_C3D20(20) ! Shape function derivatives (numdim x nnpel) real(8) :: dN_C3D20(3,20) ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D20(27,20) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_C3D20(20,20) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D20(20,27) ! Shape function derivatives (numdim x nnpel x numpt) real(8) :: dNmat_C3D20(27,3,20) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D20(3,20) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D20(20,20) ! ! Shape function matrix (numpt x nnpel) real(8) :: Nmat_C3D20lin(27,8) ! Inverse of the shape function matrix (nnpel x numpt) real(8) :: invNmat_C3D20lin(8,27) ! Shape function derivatives (numpt x numdim x nnpel) real(8) :: dNmat_C3D20lin(27,3,8) ! Shape function derivatives at the center (numdim x nnpel) real(8) :: dNmatc_C3D20lin(3,8) ! Square matrix (nnpel x nnpel) real(8) :: NTN_C3D20lin(8,8) ! inverted square matrix (nnpel x nnpel) real(8) :: coeff_C3D20lin(8,8) ! ! ! Sub element properties integer :: nnpel_sub, numpt_sub ! Parametric Gauss point coordinates integer :: ipt ! Dummy integers integer :: i, j ! ! ! Identify the element type ! Based on ! - number of integration points per element: numpt ! - dimension of the problem: ntens call findelementtype(numtens,numpt,eltyp) ! ! ! ! !! Output the element type ! write(*,*) 'ABAQUS element type: ', eltyp ! select case(eltyp) ! ! Element type: CPE3 or CPS3 or CPE6R or CPS6R ! Use the same interpolation functions for the reduced elements case('CPE3', 'CPS3', 'CPE6R', 'CPS6R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! Number of dimensions of the problem numdim = 2 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 3 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Element type: CPE4R or CPS4R ! Use the same interpolation functions for the reduced elements case('CPE4R', 'CPS4R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! Number of dimensions of the problem numdim = 2 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Element type: CPE4 or CPS4 or CPE8R or CPS8R ! Use the same interpolation functions for the reduced elements case('CPE4', 'CPS4', 'CPE8R', 'CPS8R') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=1. ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Gauss points GPcoords_CP4 = 0. GPcoords_CP4(1,:) = (/ -1., -1. /) GPcoords_CP4(2,:) = (/ 1., -1. /) GPcoords_CP4(3,:) = (/ -1., 1. /) GPcoords_CP4(4,:) = (/ 1., 1. /) GPcoords_CP4 = GPcoords_CP4/sqrt(3.) ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! ! Gauss point coordinates g = GPcoords_CP4(ipt,1) h = GPcoords_CP4(ipt,2) ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Shape function mapping Nmat_CP4(ipt,1:nnpel) = N_CP4 ! ! Shape function derivative dNmat_CP4(ipt,1:numdim,1:nnpel) = dN_CP4 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP4,invNmat_CP4,4) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Assign the center value dNmatc_CP4 = dN_CP4 ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP4(:,:) dNmat(:,:,:) = dNmat_CP4(:,:,:) invNmat(:,:) = invNmat_CP4(:,:) dNmatc(:,:) = dNmatc_CP4(:,:) ! ! ! Element type: CPE6 or CPS6 case('CPE6', 'CPS6') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1./6. ! ! ! ! ! Gauss points GPcoords_CP6 = 0. GPcoords_CP6(1,:) = (/ 1./6., 1./6. /) GPcoords_CP6(2,:) = (/ 2./3., 1./6. /) GPcoords_CP6(3,:) = (/ 1./6., 2./3. /) ! ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 3 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Use CP3 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP6(ipt,1) h = GPcoords_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3) ! ! Shape function mapping Nmat_CP3(ipt,1:nnpel) = N_CP3 ! ! Shape function derivative dNmat_CP3(ipt,1:numdim,1:nnpel) = dN_CP3 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP3,invNmat_CP3,3) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel,numdim,g,h,N_CP3,dN_CP3) ! ! Assign the center value dNmatc_CP3 = dN_CP3 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP3(:,:) dNmat(:,:,:) = dNmat_CP3(:,:,:) invNmat(:,:) = invNmat_CP3(:,:) dNmatc(:,:) = dNmatc_CP3(:,:) ! ! ! ! ! Quadratic interpolation functions else ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! Number of nodes per element nnpel = 6 ! ! Number of nodes per the sub element nnpel_sub = 3 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_CP6 = 0. GPcoords_sub_CP6(1,:) = (/ 5./12., 1./6. /) GPcoords_sub_CP6(2,:) = (/ 5./12., 5./12. /) GPcoords_sub_CP6(3,:) = (/ 1./6., 5./12. /) ! ! Local coordinates (in its linear form) GPcoords_sub_CP3 = 0. GPcoords_sub_CP3(1,:) = (/ 1./2., 0. /) GPcoords_sub_CP3(2,:) = (/ 1./2., 1./2. /) GPcoords_sub_CP3(3,:) = (/ 0., 1./2. /) ! ! ! ! Use CP6 (quadratic) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP6(ipt,1) h = GPcoords_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Shape function mapping Nmat_CP6(ipt,1:nnpel) = N_CP6 ! ! Shape function derivative dNmat_CP6(ipt,1:numdim,1:nnpel) = dN_CP6 ! end do ! ! ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_CP6(ipt,1) h = GPcoords_sub_CP6(ipt,2) ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Shape function mapping Nmat_CP6(numpt+ipt,1:nnpel) = N_CP6 ! ! ! ! Gauss point coordinates - local g = GPcoords_sub_CP3(ipt,1) h = GPcoords_sub_CP3(ipt,2) ! ! Calculate shape functions and their derivatives call CP3_N_dN(nnpel_sub,numdim,g,h,N_CP3,dN_CP3) ! ! Shape function mapping Nmat_CP3(ipt,1:nnpel_sub) = N_CP3 ! ! ! end do ! ! IPmap_CP6=0. ! Identity matrix do i=1,numpt IPmap_CP6(i,i)=1. end do IPmap_CP6(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_CP3 ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_CP6,coeff_CP6,6) ! ! invNmat_CP6 = matmul(coeff_CP6,IPmap_CP6) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. ! ! Calculate shape functions and their derivatives call CP6_N_dN(nnpel,numdim,g,h,N_CP6,dN_CP6) ! ! Assign the center value dNmatc_CP6 = dN_CP6 ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP6(:,:) dNmat(:,:,:) = dNmat_CP6(:,:,:) invNmat(:,:) = invNmat_CP6(:,:) dNmatc(:,:) = dNmatc_CP6(:,:) ! ! ! ! ! endif ! ! ! ! ! ! Element type: CPE8 or CPS8 case('CPE8', 'CPS8') ! ! Number of dimensions of the problem numdim = 2 ! ! ! ! Integration weights allocate(ipweights(numpt)) ipweights=0. ! ipweights(1) = 0.308641975308642 ipweights(2) = 0.493827160493827 ipweights(3) = 0.308641975308642 ipweights(4) = 0.493827160493827 ipweights(5) = 0.790123456790124 ipweights(6) = 0.493827160493827 ipweights(7) = 0.308641975308642 ipweights(8) = 0.493827160493827 ipweights(9) = 0.308641975308642 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! Gauss points GPcoords_CP8 = 0. GPcoords_CP8(1,:) = (/ -1., -1. /) GPcoords_CP8(2,:) = (/ 0., -1. /) GPcoords_CP8(3,:) = (/ 1., -1. /) GPcoords_CP8(4,:) = (/ -1., 0. /) GPcoords_CP8(5,:) = (/ 0., 0. /) GPcoords_CP8(6,:) = (/ 1., 0. /) GPcoords_CP8(7,:) = (/ -1., 1. /) GPcoords_CP8(8,:) = (/ 0., 1. /) GPcoords_CP8(9,:) = (/ 1., 1. /) GPcoords_CP8 = sqrt(0.6) * GPcoords_CP8 ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 4 ! ! ! Use CP4 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP8(ipt,1) h = GPcoords_CP8(ipt,2) ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Shape function mapping Nmat_CP8lin(ipt,1:nnpel) = N_CP4 ! ! Shape function derivative dNmat_CP8lin(ipt,1:numdim,1:nnpel) = dN_CP4 ! end do ! ! ! Make Nmat a square matrix NTN_CP8lin = matmul(transpose(Nmat_CP8lin),Nmat_CP8lin) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_CP8lin,coeff_CP8lin,4) ! ! Overall mapping for mapping from IPs to nodes invNmat_CP8lin=matmul(coeff_CP8lin,transpose(Nmat_CP8lin)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP4_N_dN(nnpel,numdim,g,h,N_CP4,dN_CP4) ! ! Assign the center value dNmatc_CP8lin = dN_CP4 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP8lin(:,:) dNmat(:,:,:) = dNmat_CP8lin(:,:,:) invNmat(:,:) = invNmat_CP8lin(:,:) dNmatc(:,:) = dNmatc_CP8lin(:,:) ! ! ! ! else ! ! ! ! ! Number of nodes per element nnpel = 8 ! ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_CP8(ipt,1) h = GPcoords_CP8(ipt,2) ! ! Calculate shape functions and their derivatives call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8) ! ! Shape function mapping Nmat_CP8(ipt,1:nnpel) = N_CP8 ! ! Shape function derivative dNmat_CP8(ipt,1:numdim,1:nnpel) = dN_CP8 ! end do ! ! Make Nmat a square matrix NTN_CP8 = matmul(transpose(Nmat_CP8),Nmat_CP8) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_CP8,coeff_CP8,8) ! ! Overall mapping for mapping from IPs to nodes invNmat_CP8 = matmul(coeff_CP8,transpose(Nmat_CP8)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. ! ! Calculate shape functions and their derivatives call CP8_N_dN(nnpel,numdim,g,h,N_CP8,dN_CP8) ! ! Assign the center value dNmatc_CP8 = dN_CP8 ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_CP8(:,:) dNmat(:,:,:) = dNmat_CP8(:,:,:) invNmat(:,:) = invNmat_CP8(:,:) dNmatc(:,:) = dNmatc_CP8(:,:) ! ! end if ! ! case('C3D4') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 4 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! case('C3D6') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 6 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! case('C3D8R') ! ! GND calculation is not possible for this element type if (gndmodel>0) then call error(7) end if ! ! ! ! Number of dimensions of the problem numdim = 3 ! ! ! Single integration point calculategradient = 0 ! ! Number of nodes per element nnpel = 8 ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! ! Element type: C3D8 or C3D20R ! Use the same interpolation functions for the reduced element case('C3D8','C3D20R') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! Number of nodes per element nnpel = 8 ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1. ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Gauss points GPcoords_C3D8 = 0. GPcoords_C3D8(1,:) = (/ -1., -1., -1. /) GPcoords_C3D8(2,:) = (/ 1., -1., -1. /) GPcoords_C3D8(3,:) = (/ -1., 1., -1. /) GPcoords_C3D8(4,:) = (/ 1., 1., -1. /) GPcoords_C3D8(5,:) = (/ -1., -1., 1. /) GPcoords_C3D8(6,:) = (/ 1., -1., 1. /) GPcoords_C3D8(7,:) = (/ -1., 1., 1. /) GPcoords_C3D8(8,:) = (/ 1., 1., 1. /) GPcoords_C3D8 = GPcoords_C3D8/sqrt(3.) ! ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D8(ipt,1) h = GPcoords_C3D8(ipt,2) r = GPcoords_C3D8(ipt,3) ! ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! ! ! Shape function mapping Nmat_C3D8(ipt,1:nnpel) = N_C3D8 ! ! ! ! Shape function derivative dNmat_C3D8(ipt,1:numdim,1:nnpel) = dN_C3D8 ! ! end do ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D8,invNmat_C3D8,8) ! ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Assign the center value dNmatc_C3D8 = dN_C3D8 ! ! ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D8(:,:) dNmat(:,:,:) = dNmat_C3D8(:,:,:) invNmat(:,:) = invNmat_C3D8(:,:) dNmatc(:,:) = dNmatc_C3D8(:,:) ! ! ! ! ! ! Element type: C3D10 case('C3D10') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights = 1./4./6. ! ! Gauss points a = 0.138196601125010 b = 0.585410196624968 ! ! GPcoords_C3D10 = 0. GPcoords_C3D10(1,:) = (/ a, a, a /) GPcoords_C3D10(2,:) = (/ b, a, a /) GPcoords_C3D10(3,:) = (/ a, b, a /) GPcoords_C3D10(4,:) = (/ a, a, b /) ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 4 ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! Use C3D4 (linear) element function write(*,*) 'Linear interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D10(ipt,1) h = GPcoords_C3D10(ipt,2) r = GPcoords_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Shape function mapping Nmat_C3D4(ipt,1:nnpel) = N_C3D4 ! ! Shape function derivative dNmat_C3D4(ipt,1:numdim,1:nnpel) = dN_C3D4 ! end do ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D4,invNmat_C3D4,4) ! ! ! Shape function derivatives at the element center g = 1./4. h = 1./4. r = 1./4. ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Assign the center value dNmatc_C3D4 = dN_C3D4 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D4(:,:) dNmat(:,:,:) = dNmat_C3D4(:,:,:) invNmat(:,:) = invNmat_C3D4(:,:) dNmatc(:,:) = dNmatc_C3D4(:,:) ! ! ! ! ! Quadratic interpolation functions else ! ! Number of nodes per element nnpel = 10 ! ! Number of nodes per the sub element nnpel_sub = 4 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_C3D10 = 0. do i=1,numdim GPcoords_sub_C3D10(1,i) = + 0.5*(GPcoords_C3D10(1,i)+GPcoords_C3D10(2,i)) GPcoords_sub_C3D10(2,i) = + 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(3,i)) GPcoords_sub_C3D10(3,i) = + 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(1,i)) GPcoords_sub_C3D10(4,i) = + 0.5*(GPcoords_C3D10(4,i)+GPcoords_C3D10(1,i)) GPcoords_sub_C3D10(5,i) = + 0.5*(GPcoords_C3D10(2,i)+GPcoords_C3D10(4,i)) GPcoords_sub_C3D10(6,i) = + 0.5*(GPcoords_C3D10(3,i)+GPcoords_C3D10(4,i)) end do ! ! ! Local coordinates (in its linear form) GPcoords_sub_C3D4 = 0. GPcoords_sub_C3D4(1,:) = (/ 0.5, 0., 0. /) GPcoords_sub_C3D4(2,:) = (/ 0.5, 0.5, 0. /) GPcoords_sub_C3D4(3,:) = (/ 0., 0.5, 0. /) GPcoords_sub_C3D4(4,:) = (/ 0., 0., 0.5 /) GPcoords_sub_C3D4(5,:) = (/ 0.5, 0., 0.5 /) GPcoords_sub_C3D4(6,:) = (/ 0., 0.5, 0.5 /) ! ! ! ! ! ! Use C3D10 (quadratic) element function write(*,*) 'Quadratic interpolation for will be used GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D10(ipt,1) h = GPcoords_C3D10(ipt,2) r = GPcoords_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Shape function mapping Nmat_C3D10(ipt,1:nnpel) = N_C3D10 ! ! Shape function derivative dNmat_C3D10(ipt,1:numdim,1:nnpel) = dN_C3D10 ! ! end do ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_C3D10(ipt,1) h = GPcoords_sub_C3D10(ipt,2) r = GPcoords_sub_C3D10(ipt,3) ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Shape function mapping Nmat_C3D10(numpt+ipt,1:nnpel) = N_C3D10 ! ! ! Gauss point coordinates - local g = GPcoords_sub_C3D4(ipt,1) h = GPcoords_sub_C3D4(ipt,2) r = GPcoords_sub_C3D4(ipt,3) ! ! Calculate shape functions and their derivatives call C3D4_N_dN(nnpel_sub,numdim,g,h,r,N_C3D4,dN_C3D4) ! ! Shape function mapping Nmat_sub_C3D4(ipt,1:nnpel_sub) = N_C3D4 ! ! end do ! ! ! Identity matrix IPmap_C3D10 = 0. do i=1,numpt IPmap_C3D10(i,i)=1. end do ! IPmap_C3D10(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_sub_C3D4 ! ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D10,coeff_C3D10,10) ! ! ! invNmat_C3D10 = matmul(coeff_C3D10,IPmap_C3D10) ! ! ! Shape function derivatives at the element center g = 1./4. h = 1./4. r = 1./4. ! ! Calculate shape functions and their derivatives call C3D10_N_dN(nnpel,numdim,g,h,r,N_C3D10,dN_C3D10) ! ! Assign the center value dNmatc_C3D10 = dN_C3D10 ! ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D10(:,:) dNmat(:,:,:) = dNmat_C3D10(:,:,:) invNmat(:,:) = invNmat_C3D10(:,:) dNmatc(:,:) = dNmatc_C3D10(:,:) ! ! ! ! ! ! ! ! endif ! ! ! ! Element type: C3D15 case('C3D15') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights=1./6./3. ! ! ! ! Isoparametric coordinate (r-axis) a = 0.774596669241483 ! ! GPcoords_C3D15 = 0. GPcoords_C3D15(2,:) = (/ 2./3., 1./6., -1. /) GPcoords_C3D15(1,:) = (/ 1./6., 1./6., -1. /) GPcoords_C3D15(3,:) = (/ 1./6., 2./3., -1. /) GPcoords_C3D15(5,:) = (/ 2./3., 1./6., 0. /) GPcoords_C3D15(4,:) = (/ 1./6., 1./6., 0. /) GPcoords_C3D15(6,:) = (/ 1./6., 2./3., 0. /) GPcoords_C3D15(8,:) = (/ 2./3., 1./6., 1. /) GPcoords_C3D15(7,:) = (/ 1./6., 1./6., 1. /) GPcoords_C3D15(9,:) = (/ 1./6., 2./3., 1. /) ! GPcoords_C3D15(:,3) = GPcoords_C3D15(:,3) * a ! ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 6 ! ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! ! ! Use C3D6 (linear) element function write(*,*) 'Linear interpolation will be used for GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D15(ipt,1) h = GPcoords_C3D15(ipt,2) r = GPcoords_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Shape function mapping Nmat_C3D6(ipt,1:nnpel) = N_C3D6 ! ! Shape function derivative dNmat_C3D6(ipt,1:numdim,1:nnpel) = dN_C3D6 ! end do ! ! NTN_C3D6 = matmul(transpose(Nmat_C3D6),Nmat_C3D6) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D6,coeff_C3D6,6) ! ! invNmat_C3D6 = matmul(coeff_C3D6,transpose(Nmat_C3D6)) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. r = 0. ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Assign the center value dNmatc_C3D6 = dN_C3D6 ! ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D6(:,:) dNmat(:,:,:) = dNmat_C3D6(:,:,:) invNmat(:,:) = invNmat_C3D6(:,:) dNmatc(:,:) = dNmatc_C3D6(:,:) ! ! ! ! ! ! ! ! Quadratic interpolation functions else ! ! Number of nodes per element nnpel = 15 ! ! Number of nodes of the sub-element nnpel_sub = 6 ! ! Additional Gauss points for quadratic interpolation numpt_sub = nnpel-numpt ! Calculated using the linear sub-element ! Global coordinates (in its quadratic form) GPcoords_sub_C3D15 = 0. do i=1,numdim GPcoords_sub_C3D15(1,i) = + 0.5*(GPcoords_C3D15(1,i)+GPcoords_C3D15(2,i)) GPcoords_sub_C3D15(2,i) = + 0.5*(GPcoords_C3D15(2,i)+GPcoords_C3D15(3,i)) GPcoords_sub_C3D15(3,i) = + 0.5*(GPcoords_C3D15(3,i)+GPcoords_C3D15(1,i)) GPcoords_sub_C3D15(4,i) = + 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(8,i)) GPcoords_sub_C3D15(5,i) = + 0.5*(GPcoords_C3D15(8,i)+GPcoords_C3D15(9,i)) GPcoords_sub_C3D15(6,i) = + 0.5*(GPcoords_C3D15(7,i)+GPcoords_C3D15(9,i)) end do ! ! ! Local coordinates (in its linear form) GPcoords_sub_C3D6 = 0. GPcoords_sub_C3D6(1,:) = (/ 0.5, 0., -1. /) GPcoords_sub_C3D6(2,:) = (/ 0.5, 0.5, -1. /) GPcoords_sub_C3D6(3,:) = (/ 0., 0.5, -1. /) GPcoords_sub_C3D6(4,:) = (/ 0.5, 0., 1. /) GPcoords_sub_C3D6(5,:) = (/ 0.5, 0.5, 1. /) GPcoords_sub_C3D6(6,:) = (/ 0., 0.5, 1. /) ! ! ! ! ! ! Use C3D15 (quadratic) element function write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D15(ipt,1) h = GPcoords_C3D15(ipt,2) r = GPcoords_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Shape function mapping Nmat_C3D15(ipt,1:nnpel) = N_C3D15 ! ! Shape function derivative dNmat_C3D15(ipt,1:numdim,1:nnpel) = dN_C3D15 ! ! end do ! ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt_sub ! ! Gauss point coordinates - global g = GPcoords_sub_C3D15(ipt,1) h = GPcoords_sub_C3D15(ipt,2) r = GPcoords_sub_C3D15(ipt,3) ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Shape function mapping Nmat_C3D15(numpt+ipt,1:nnpel) = N_C3D15 ! ! ! ! ! Gauss point coordinates - local g = GPcoords_sub_C3D6(ipt,1) h = GPcoords_sub_C3D6(ipt,2) r = GPcoords_sub_C3D6(ipt,3) ! ! Calculate shape functions and their derivatives call C3D6_N_dN(nnpel_sub,numdim,g,h,r,N_C3D6,dN_C3D6) ! ! Shape function mapping Nmat_sub_C3D6(ipt,1:nnpel_sub) = N_C3D6 ! ! ! end do ! ! ! Identity matrix IPmap_C3D15=0. do i=1,numpt IPmap_C3D15(i,i)=1. end do IPmap_C3D15(numpt+1:numpt+numpt_sub,1:nnpel_sub) = + Nmat_sub_C3D6 ! ! ! ! ! Compute inverse of the interpolation matrix call nolapinverse(Nmat_C3D15,coeff_C3D15,15) ! ! invNmat_C3D15 = matmul(coeff_C3D15,IPmap_C3D15) ! ! ! Shape function derivatives at the element center g = 1./3. h = 1./3. r = 0. ! ! Calculate shape functions and their derivatives call C3D15_N_dN(nnpel,numdim,g,h,r,N_C3D15,dN_C3D15) ! ! Assign the center value dNmatc_C3D15 = dN_C3D15 ! ! ! ! Allocate global arrays allocate(Nmat(numpt+numpt_sub,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! ! Assign global arrays Nmat(:,:) = Nmat_C3D15(:,:) dNmat(:,:,:) = dNmat_C3D15(:,:,:) invNmat(:,:) = invNmat_C3D15(:,:) dNmatc(:,:) = dNmatc_C3D15(:,:) ! ! ! ! ! ! endif ! ! ! ! ! ! ! Element type: C3D20 case('C3D20') ! ! Number of dimensions of the problem numdim = 3 ! ! ! ! IP integration weights allocate(ipweights(numpt)) ipweights=0. ! ipweights(1) = 0.171467764060357 ipweights(2) = 0.274348422496571 ipweights(3) = 0.171467764060357 ipweights(4) = 0.274348422496571 ipweights(5) = 0.438957475994513 ipweights(6) = 0.274348422496571 ipweights(7) = 0.171467764060357 ipweights(8) = 0.274348422496571 ipweights(9) = 0.171467764060357 ipweights(10) = 0.274348422496571 ipweights(11) = 0.438957475994513 ipweights(12) = 0.274348422496571 ipweights(13) = 0.438957475994513 ipweights(14) = 0.702331961591221 ipweights(15) = 0.438957475994513 ipweights(16) = 0.274348422496571 ipweights(17) = 0.438957475994513 ipweights(18) = 0.274348422496571 ipweights(19) = 0.171467764060357 ipweights(20) = 0.274348422496571 ipweights(21) = 0.171467764060357 ipweights(22) = 0.274348422496571 ipweights(23) = 0.438957475994513 ipweights(24) = 0.274348422496571 ipweights(25) = 0.171467764060357 ipweights(26) = 0.274348422496571 ipweights(27) = 0.171467764060357 ! ! Number of nodes per the sub element nnpel_sub = 0 ! ! Additional Gauss points for quadratic interpolation numpt_sub = 0 ! ! GPcoords_C3D20 = 0. GPcoords_C3D20(1,:)= (/ -1., -1., -1. /) GPcoords_C3D20(2,:)= (/ 0., -1., -1. /) GPcoords_C3D20(3,:)= (/ 1., -1., -1. /) GPcoords_C3D20(4,:)= (/ -1., 0., -1. /) GPcoords_C3D20(5,:)= (/ 0., 0., -1. /) GPcoords_C3D20(6,:)= (/ 1., 0., -1. /) GPcoords_C3D20(7,:)= (/ -1., 1., -1. /) GPcoords_C3D20(8,:)= (/ 0., 1., -1. /) GPcoords_C3D20(9,:)= (/ 1., 1., -1. /) GPcoords_C3D20(10,:)= (/ -1., -1., 0. /) GPcoords_C3D20(11,:)= (/ 0., -1., 0. /) GPcoords_C3D20(12,:)= (/ 1., -1., 0. /) GPcoords_C3D20(13,:)= (/ -1., 0., 0. /) GPcoords_C3D20(14,:)= (/ 0., 0., 0. /) GPcoords_C3D20(15,:)= (/ 1., 0., 0. /) GPcoords_C3D20(16,:)= (/ -1., 1., 0. /) GPcoords_C3D20(17,:)= (/ 0., 1., 0. /) GPcoords_C3D20(18,:)= (/ 1., 1., 0. /) GPcoords_C3D20(19,:)= (/ -1., -1., 1. /) GPcoords_C3D20(20,:)= (/ 0., -1., 1. /) GPcoords_C3D20(21,:)= (/ 1., -1., 1. /) GPcoords_C3D20(22,:)= (/ -1., 0., 1. /) GPcoords_C3D20(23,:)= (/ 0., 0., 1. /) GPcoords_C3D20(24,:)= (/ 1., 0., 1. /) GPcoords_C3D20(25,:)= (/ -1., 1., 1. /) GPcoords_C3D20(26,:)= (/ 0., 1., 1. /) GPcoords_C3D20(27,:)= (/ 1., 1., 1. /) GPcoords_C3D20 = GPcoords_C3D20 * sqrt(0.6) ! ! ! Based on the selected option ! Linear interpolation functions if (gndlinear==1) then ! ! write(*,*) 'Linear interpolation for will be used GNDs' ! ! Number of nodes per element (linear element) ! Assumed as a linear element nnpel = 8 ! ! ! ! ! Use C3D8 (linear) element function ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D20(ipt,1) h = GPcoords_C3D20(ipt,2) r = GPcoords_C3D20(ipt,3) ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Shape function mapping Nmat_C3D20lin(ipt,1:nnpel) = N_C3D8 ! ! Shape function derivative dNmat_C3D20lin(ipt,1:numdim,1:nnpel) = dN_C3D8 ! end do ! ! ! Make Nmat a square matrix NTN_C3D20lin = + matmul(transpose(Nmat_C3D20lin),Nmat_C3D20lin) ! ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D20lin,coeff_C3D20lin,8) ! ! Overall mapping for mapping from IPs to nodes invNmat_C3D20lin = + matmul(coeff_C3D20lin,transpose(Nmat_C3D20lin)) ! ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D8_N_dN(nnpel,numdim,g,h,r,N_C3D8,dN_C3D8) ! ! Assign the center value dNmatc_C3D20lin = dN_C3D8 ! ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D20lin(:,:) dNmat(:,:,:) = dNmat_C3D20lin(:,:,:) invNmat(:,:) = invNmat_C3D20lin(:,:) dNmatc(:,:) = dNmatc_C3D20lin(:,:) ! ! ! ! else ! ! ! ! ! Number of nodes per element nnpel = 20 ! write(*,*) 'Quadratic interpolation will be used for GNDs' ! ! ! ! Compute shape functions and their derivatives at the integration points do ipt = 1, numpt ! ! Gauss point coordinates g = GPcoords_C3D20(ipt,1) h = GPcoords_C3D20(ipt,2) r = GPcoords_C3D20(ipt,3) ! ! Calculate shape functions and their derivatives call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20) ! ! Shape function mapping Nmat_C3D20(ipt,1:nnpel) = N_C3D20 ! ! Shape function derivative dNmat_C3D20(ipt,1:numdim,1:nnpel) = dN_C3D20 ! end do ! ! ! Make Nmat a square matrix NTN_C3D20 = matmul(transpose(Nmat_C3D20),Nmat_C3D20) ! ! Compute inverse of the interpolation matrix call nolapinverse(NTN_C3D20,coeff_C3D20,20) ! ! Overall mapping to map from the IPs to the nodes invNmat_C3D20 = matmul(coeff_C3D20,transpose(Nmat_C3D20)) ! ! Shape function derivatives at the element center g = 0. h = 0. r = 0. ! ! Calculate shape functions and their derivatives call C3D20_N_dN(nnpel,numdim,g,h,r,N_C3D20,dN_C3D20) ! ! Assign the center value dNmatc_C3D20 = dN_C3D20 ! ! ! Allocate global arrays allocate(Nmat(numpt,nnpel)) Nmat=0. allocate(dNmat(numpt,numdim,nnpel)) dNmat=0. allocate(invNmat(nnpel,numpt)) invNmat=0. allocate(dNmatc(numdim,nnpel)) dNmatc=0. ! ! Assign global arrays Nmat(:,:) = Nmat_C3D20(:,:) dNmat(:,:,:) = dNmat_C3D20(:,:,:) invNmat(:,:) = invNmat_C3D20(:,:) dNmatc(:,:) = dNmatc_C3D20(:,:) ! ! end if ! ! ! case default ! call error(2) ! ! end select ! ! write(*,*) 'Dimension of the analysis: ', numdim write(*,*) 'Number of integration points per element: ', numpt ! write(*,*) 'Number of nodes per element: ', nnpel ! ! ! return end subroutine feprop ! ! ! ! Find the number of nodes for displacement analysis (not for GND analysis) subroutine findelementtype(numtens,numpt,eltyp) implicit none integer, intent(in) :: numtens integer, intent(in) :: numpt character(len=:), allocatable, intent(out) :: eltyp ! ! ! Determine the element type ! Based on the dimension of the problem (numdim=ntens) ! ! Dimension of the problem (2D-plane stress) if (numtens==3) then ! select case(numpt) ! ! 2D - CPS3 / CPS6R / CPS4R case(1) ! eltyp = 'CPS3' ! ! 2D - CPS4 / CPS8R case(4) ! eltyp = 'CPS4' ! ! 2D - CPS6 case(3) ! eltyp = 'CPS6' ! ! 2D - 8 node quadratic quadrilateral case(9) ! eltyp = 'CPS8' ! end select ! ! Dimension of the problem (2D - Plane strain) elseif (numtens==4) then ! select case(numpt) ! ! 2D - CPS3 / CPS6R / CPS4R case(1) ! eltyp = 'CPE3' ! ! 2D - CPS4 / CPS8R case(4) ! eltyp = 'CPE4' ! ! 2D - CPS6 case(3) ! eltyp = 'CPE6' ! ! 2D - 8 node quadratic quadrilateral case(9) ! eltyp = 'CPE8' ! end select ! ! ! Dimension of the problem (3D) elseif (numtens==6) then ! select case(numpt) ! ! 3D - C3D4 / C3D8R / C3D10R case(1) ! eltyp = 'C3D4' ! ! 3D - C3D6 / C3D15R case(2) ! eltyp = 'C3D6' ! ! 3D - C3D8 / C3D20R case(8) ! eltyp = 'C3D8' ! ! 3D - C3D10 case(4) ! eltyp = 'C3D10' ! ! 3D - C3D15 case(9) ! eltyp = 'C3D15' ! ! 3D - C3D20 case(27) ! eltyp = 'C3D20' ! end select ! end if ! ! write(*,*) 'Element type identified as: ', eltyp ! return end subroutine findelementtype ! ! ! Contains the element-by-element initializations ! Done only once at the first run subroutine initialize_gradientoperators use globalvariables, only : numel, + numdim, numpt, nnpel, gradip2ip, ipweights, + ipcoords, ipdomain, Nmat, invNmat, dNmat, dNmatc use userinputs, only : gndlinear use utilities, only: nolapinverse, inv2x2, inv3x3 implicit none ! Gauss point coordinates in sample reference real(8) :: xIP(numpt,numdim) ! Node point coordinates real(8) :: xnode(nnpel,numdim) ! Jacobian transpose real(8) :: JT(numdim,numdim) ! Jacobian inverse transpose real(8) :: invJT(numdim,numdim) ! Determinant of the inversion real(8) :: det ! Gradient operator real(8) :: grad(numdim,nnpel) ! Overall mapping real(8) :: grad_invN(numdim,numpt) ! Element number and ip number integer :: iel, ipt ! ! ! ! ! Loop through each element do iel = 1, numel ! ! ! ! Vectorize element ipcoordinates xIP = 0. do ipt = 1, numpt ! xIP(ipt,1:numdim) = ipcoords(iel,ipt,1:numdim) ! end do ! ! ! ! ! xnode = matmul(invNmat,xIP) ! ! ! ! ! ! For each integration point do ipt = 1, numpt ! ! ! Calculate jacobian (transpose) for isoparametric space to real reference JT = matmul(dNmat(ipt,1:numdim,1:nnpel),xnode) ! ! ! ! ! Invert the Jacobian if (numdim==2) then ! call inv2x2(JT,invJT,det) ! elseif (numdim==3) then ! call inv3x3(JT,invJT,det) ! endif ! ! ! IP domain size ipdomain(iel,ipt) = det * ipweights(ipt) ! ! ! ! Gradient operator grad = matmul(invJT,dNmat(ipt,1:numdim,1:nnpel)) ! ! ! ! Overall mapping grad_invN = matmul(grad,invNmat) ! ! ! ! ! Store gradip2ip(iel,ipt,1:numdim,1:numpt) = grad_invN ! ! ! ! ! end do ! ! write(*,*) 'vol: ', sum(ipdomain(iel,:)) ! write(*,*) '******************' ! ! For the center of the element ! ! Calculate jacobian (transpose) for isoparametric space to real reference JT = matmul(dNmatc,xnode) ! ! Invert the Jacobian if (numdim==2) then ! call inv2x2(JT,invJT,det) ! elseif (numdim==3) then ! call inv3x3(JT,invJT,det) ! endif ! ! ! Gradient operator grad = matmul(invJT,dNmatc) ! ! ! Overall mapping grad_invN = matmul(grad, invNmat) ! ! Store gradip2ip(iel,numpt+1,1:numdim,1:numpt) = grad_invN ! ! ! ! ! end do ! ! return end subroutine initialize_gradientoperators ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE3 or CPS3 subroutine CP3_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP3 element N(1) = 1. - g - h ! N(2) = g ! N(3) = h ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = -1. ! dN(1,2) = 1. ! dN(1,3) = 0. ! ! dN_dh dN(2,1) = -1. ! dN(2,2) = 0. ! dN(2,3) = 1. ! ! ! ! return end subroutine CP3_N_dN ! ! ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE4 or CPS4 or CPE8R or CPS8R subroutine CP4_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP4 element N(1) = (1. - g) * (1. - h) / 4. ! N(2) = (1. + g) * (1. - h) / 4. ! N(3) = (1. + g) * (1. + h) / 4. ! N(4) = (1. - g) * (1. + h) / 4. ! ! ! ! ! Shape function derivatives wrt natural coords for CP4 element ! ! dN_dg dN(1,1) = -1. * (1. - h) / 4. ! dN(1,2) = 1. * (1. - h) / 4. ! dN(1,3) = 1. * (1. + h) / 4. ! dN(1,4) = -1. * (1. + h) / 4. ! ! dN_dh dN(2,1) = (1. - g) * -1. / 4. ! dN(2,2) = (1. + g) * -1. / 4. ! dN(2,3) = (1. + g) * 1. / 4. dN(2,4) = (1. - g) * 1. / 4. ! ! ! ! ! return end subroutine CP4_N_dN ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE6 or CPS6 subroutine CP6_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP6 element N(1) = 2. * (0.5 - g - h) * (1. - g - h) ! N(2) = 2. * g * (g - 0.5) ! N(3) = 2. * h * (h - 0.5) ! N(4) = 4. * g * (1. - g - h) ! N(5) = 4. * g * h ! N(6) = 4. * h * (1. - g - h) ! ! ! ! ! Shape function derivatives wrt natural coords for C3D4 element ! dN_dg dN(1,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.) ! dN(1,2) = 2. * (1.) * (g - 0.5) + 2. * g * (1.) ! dN(1,3) = 0. ! dN(1,4) = 4. * (1.) * (1. - g - h) + 4. * g * (-1.) ! dN(1,5) = 4. * (1.) * h ! dN(1,6) = 4. * h * (-1.) ! ! dN_dh dN(2,1) = 2. * (-1.) * (1. - g - h) + 2. * (0.5 - g - h) * (-1.) ! dN(2,2) = 0. ! dN(2,3) = 2. * (1.) * (h - 0.5) + 2. * h * (1.) ! dN(2,4) = 4. * g * (-1.) ! dN(2,5) = 4. * g * (1.) ! dN(2,6) = 4. * (1.) * (1. - g - h) + 4. * h * (-1.) ! ! ! ! return end subroutine CP6_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: CPE8 or CPS8 subroutine CP8_N_dN(nnpel,numdim,g,h,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP8 element N(1) = -1./4. * (1. - g) * (1. - h) * (1. + g + h) ! N(2) = -1./4. * (1. + g) * (1. - h) * (1. - g + h) ! N(3) = -1./4. * (1. + g) * (1. + h) * (1. - g - h) ! N(4) = -1./4. * (1. - g) * (1. + h) * (1. + g - h) ! N(5) = 1./2. * (1. - g) * (1. + g) * (1. - h) ! N(6) = 1./2. * (1. - h) * (1. + h) * (1. + g) ! N(7) = 1./2. * (1. - g) * (1. + g) * (1. + h) ! N(8) = 1./2. * (1. - h) * (1. + h) * (1. - g) ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP8 element ! dN_dg dN(1,1) = (-1./4.) * (-1.) * (1. - h) * (1. + g + h) + + (-1./4.) * (1. - g) * (1. - h) * (1.) ! dN(1,2) = (-1./4.) * (1.) * (1. - h) * (1. - g + h) + + (-1./4.) * (1. + g) * (1. - h) * (-1.) ! dN(1,3) = (-1./4.) * (1.) * (1. + h) * (1. - g - h) + + (-1./4.) * (1. + g) * (1. + h) * (-1.) ! dN(1,4) = (-1./4.) * (-1.) * (1. + h) * (1. + g - h) + + (-1./4.) * (1. - g) * (1. + h) * (1.) ! dN(1,5) = 1./2. * (-1.) * (1. + g) * (1. - h) + + 1./2. * (1. - g) * (1.) * (1. - h) ! dN(1,6) = 1./2. * (1. - h) * (1. + h) * (1.) ! dN(1,7) = 1./2. * (-1.) * (1. + g) * (1. + h) + + 1./2. * (1. - g) * (1.) * (1. + h) ! dN(1,8) = 1./2. * (1. - h) * (1. + h) * (-1.) ! ! ! ! dN_dh dN(2,1) = (-1./4.) * (1. - g) * (-1.) * (1. + g + h) + + (-1./4.) * (1. - g) * (1. - h) * (1.) ! dN(2,2) = (-1./4.) * (1. + g) * (-1.) * (1. - g + h) + + (-1./4.) * (1. + g) * (1. - h) * (1.) ! dN(2,3) = (-1./4.) * (1. + g) * (1.) * (1. - g - h) + + (-1./4.) * (1. + g) * (1. + h) * (-1.) dN(2,4) = (-1./4.) * (1. - g) * (1.) * (1. + g - h) + + (-1./4.) * (1. - g) * (1. + h) * (-1.) ! dN(2,5) = 1./2. * (1. - g) * (1. + g) * (-1.) ! dN(2,6) = 1./2. * (-1.) * (1. + h) * (1. + g) + + 1./2. * (1. - h) * (1.) * (1. + g) ! dN(2,7) = 1./2. * (1. - g) * (1. + g) * (1.) ! dN(2,8) = 1./2. * (-1.) * (1. + h) * (1. - g) + + 1./2. * (1. - h) * (1.) * (1. - g) ! ! ! ! ! ! return end subroutine CP8_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D4 subroutine C3D4_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for CP3 element N(1) = 1. - h - r - g ! N(2) = g ! N(3) = h ! N(4) = r ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = -1. ! dN(1,2) = 1. ! dN(1,3) = 0. ! dN(1,4) = 0. ! ! ! dN_dh dN(2,1) = -1. ! dN(2,2) = 0. ! dN(2,3) = 1. ! dN(2,4) = 0. ! ! ! dN_dr dN(3,1) = -1. ! dN(3,2) = 0. ! dN(3,3) = 0. ! dN(3,4) = 1. ! ! ! ! ! ! return end subroutine C3D4_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D6 subroutine C3D6_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D6 element N(1) = 1./2.*(1.-g-h)*(1.-r) ! N(2) = 1./2.*g*(1.-r) ! N(3) = 1./2.*h*(1.-r) ! N(4) = 1./2.*(1.-g-h)*(1.+r) ! N(5) = 1./2.*g*(1.+r) ! N(6) = 1./2.*h*(1.+r) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for CP3 element ! dN_dg dN(1,1) = 1./2.*(-1.)*(1.-r) ! dN(1,2) = 1./2.*(1.)*(1.-r) ! dN(1,3) = 0. ! dN(1,4) = 1./2.*(-1.)*(1.+r) ! dN(1,5) = 1./2.*(1.)*(1.+r) ! dN(1,6) = 0. ! ! ! ! dN_dh dN(2,1) = 1./2.*(-1.)*(1.-r) ! dN(2,2) = 0. ! dN(2,3) = 1./2.*(1.)*(1.-r) ! dN(2,4) = 1./2.*(-1.)*(1.+r) ! dN(2,5) = 0. ! dN(2,6) = 1./2.*(1.)*(1.+r) ! ! ! ! dN_dr dN(3,1) = 1./2.*(1.-g-h)*(-1.) ! dN(3,2) = 1./2.*g*(-1.) ! dN(3,3) = 1./2.*h*(-1.) ! dN(3,4) = 1./2.*(1.-g-h)*(1.) ! dN(3,5) = 1./2.*g*(1.) ! dN(3,6) = 1./2.*h*(1.) ! ! ! ! ! ! return end subroutine C3D6_N_dN ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D8 subroutine C3D8_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D8 element N(1) = 1./8.*(1.-g)*(1.-h)*(1.-r) ! N(2) = 1./8.*(1.+g)*(1.-h)*(1.-r) ! N(3) = 1./8.*(1.+g)*(1.+h)*(1.-r) ! N(4) = 1./8.*(1.-g)*(1.+h)*(1.-r) ! N(5) = 1./8.*(1.-g)*(1.-h)*(1.+r) ! N(6) = 1./8.*(1.+g)*(1.-h)*(1.+r) ! N(7) = 1./8.*(1.+g)*(1.+h)*(1.+r) ! N(8) = 1./8.*(1.-g)*(1.+h)*(1.+r) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D8 element ! dN_dg dN(1,1) = 1./8.*(-1.)*(1.-h)*(1.-r) ! dN(1,2) = 1./8.*(1.)*(1.-h)*(1.-r) ! dN(1,3) = 1./8.*(1.)*(1.+h)*(1.-r) ! dN(1,4) = 1./8.*(-1.)*(1.+h)*(1.-r) ! dN(1,5) = 1./8.*(-1.)*(1.-h)*(1.+r) ! dN(1,6) = 1./8.*(1.)*(1.-h)*(1.+r) ! dN(1,7) = 1./8.*(1.)*(1.+h)*(1.+r) ! dN(1,8) = 1./8.*(-1.)*(1.+h)*(1.+r) ! ! ! ! ! dN_dh dN(2,1) = 1./8.*(1.-g)*(-1.)*(1.-r) ! dN(2,2) = 1./8.*(1.+g)*(-1.)*(1.-r) ! dN(2,3) = 1./8.*(1.+g)*(1.)*(1.-r) ! dN(2,4) = 1./8.*(1.-g)*(1.)*(1.-r) ! dN(2,5) = 1./8.*(1.-g)*(-1.)*(1.+r) ! dN(2,6) = 1./8.*(1.+g)*(-1.)*(1.+r) ! dN(2,7) = 1./8.*(1.+g)*(1.)*(1.+r) ! dN(2,8) = 1./8.*(1.-g)*(1.)*(1.+r) ! ! ! dN_dr dN(3,1) = 1./8.*(1.-g)*(1.-h)*(-1.) ! dN(3,2) = 1./8.*(1.+g)*(1.-h)*(-1.) ! dN(3,3) = 1./8.*(1.+g)*(1.+h)*(-1.) ! dN(3,4) = 1./8.*(1.-g)*(1.+h)*(-1.) ! dN(3,5) = 1./8.*(1.-g)*(1.-h)*(1.) ! dN(3,6) = 1./8.*(1.+g)*(1.-h)*(1.) ! dN(3,7) = 1./8.*(1.+g)*(1.+h)*(1.) ! dN(3,8) = 1./8.*(1.-g)*(1.+h)*(1.) ! ! ! ! ! ! return end subroutine C3D8_N_dN ! ! ! ! ! ! ! ! ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D10 subroutine C3D10_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D10 element N(1) = (2.*(1.-g-h-r)-1.)*(1.-g-h-r) ! N(2) = (2.*g - 1.)*g ! N(3) = (2.*h - 1.)*h ! N(4) = (2.*r - 1.)*r ! N(5) = 4.*(1.-g-h-r)*g ! N(6) = 4.*g*h ! N(7) = 4.*(1.-g-h-r)*h ! N(8) = 4.*(1.-g-h-r)*r ! N(9) = 4.*g*r ! N(10) = 4.*h*r ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D10 element ! dN_dg dN(1,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(1,2) = (2.*(1.))*g + (2.*g - 1.)*(1.) ! dN(1,3) = 0. ! dN(1,4) = 0. ! dN(1,5) = 4.*(-1.)*g + 4.*(1.-g-h-r)*(1.) ! dN(1,6) = 4.*h ! dN(1,7) = 4.*(-1.)*h ! dN(1,8) = 4.*(-1.)*r ! dN(1,9) = 4.*(1.)*r ! dN(1,10) = 0. ! ! ! ! ! dN_dh dN(2,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(2,2) = 0. ! dN(2,3) = (2.*(1.))*h + (2.*h - 1.)*(1.) ! dN(2,4) = 0. ! dN(2,5) = 4.*(-1.)*g ! dN(2,6) = 4.*g*(1.) ! dN(2,7) = 4.*(-1.)*h + 4.*(1.-g-h-r)*(1.) ! dN(2,8) = 4.*(-1.)*r ! dN(2,9) = 0. ! dN(2,10) = 4.*(1.)*r ! ! ! ! dN_dr dN(3,1) = (2.*(-1.))*(1.-g-h-r) + (2.*(1.-g-h-r)-1.)*(-1.) ! dN(3,2) = 0. ! dN(3,3) = 0. ! dN(3,4) = (2.*(1.))*r + (2.*r - 1.)*(1.) ! dN(3,5) = 4.*(-1.)*g ! dN(3,6) = 0. ! dN(3,7) = 4.*(-1.)*h ! dN(3,8) = 4.*(-1.)*r + 4.*(1.-g-h-r)*(1.) ! dN(3,9) = 4.*g*(1.) ! dN(3,10) = 4.*h*(1.) ! ! ! ! ! ! ! return end subroutine C3D10_N_dN ! ! ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D15 subroutine C3D15_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D15 element N(1) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.-r)-(1.-g-h)*(1.-r**2)) ! N(2) = 1./2.*(g*(2.*g-1.)*(1.-r)-g*(1.-r**2)) ! N(3) = 1./2.*(h*(2.*h-1.)*(1.-r)-h*(1.-r**2)) ! N(4) = 1./2.*((1.-g-h)*(2.*(1.-g-h)-1.)*(1.+r)-(1.-g-h)*(1.-r**2)) ! N(5) = 1./2.*(g*(2.*g-1.)*(1.+r)-g*(1.-r**2)) ! N(6) = 1./2.*(h*(2.*h-1.)*(1.+r)-h*(1.-r**2)) ! N(7) = 2.*(1.-g-h)*g*(1.-r) ! N(8) = 2.*g*h*(1.-r) ! N(9) = 2.*h*(1.-g-h)*(1.-r) ! N(10) = 2.*(1.-g-h)*g*(1.+r) ! N(11) = 2.*g*h*(1.+r) ! N(12) = 2.*h*(1.-g-h)*(1.+r) ! N(13) = (1.-g-h)*(1.-r**2) ! N(14) = g*(1.-r**2) ! N(15) = h*(1.-r**2) ! ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D15 element ! dN_dg dN(1,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2. ! dN(1,2) = ((r - 1.)*(r - 4.*g + 2.))/2. ! dN(1,3) = 0. ! dN(1,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2. ! dN(1,5) = ((r + 1.)*(4.*g + r - 2.))/2. ! dN(1,6) = 0. ! dN(1,7) = 2.*(r - 1.)*(2.*g + h - 1.) ! dN(1,8) = -2.*h*(r - 1.) ! dN(1,9) = 2.*h*(r - 1.) ! dN(1,10) = -2.*(r + 1.)*(2.*g + h - 1.) ! dN(1,11) = 2.*h*(r + 1.) ! dN(1,12) = -2.*h*(r + 1.) ! dN(1,13) = r**2 - 1. ! dN(1,14) = 1. - r**2 ! dN(1,15) = 0. ! ! ! ! dN_dh dN(2,1) = -((r - 1.)*(4.*g + 4.*h + r - 2.))/2. ! dN(2,2) = 0. ! dN(2,3) = ((r - 1.)*(r - 4.*h + 2.))/2. ! dN(2,4) = ((r + 1.)*(4.*g + 4.*h - r - 2.))/2. ! dN(2,5) = 0. ! dN(2,6) = ((r + 1.)*(4.*h + r - 2.))/2. ! dN(2,7) = 2.*g*(r - 1.) ! dN(2,8) = -2.*g*(r - 1.) ! dN(2,9) = 2.*(r - 1.)*(g + 2.*h - 1.) ! dN(2,10) = -2.*g*(r + 1.) ! dN(2,11) = 2.*g*(r + 1.) ! dN(2,12) = -2.*(r + 1.)*(g + 2.*h - 1.) ! dN(2,13) = r**2 - 1. ! dN(2,14) = 0. ! dN(2,15) = 1. - r**2 ! ! ! ! dN_dr dN(3,1) = -((g + h - 1.)*(2.*g + 2.*h + 2.*r - 1.))/2. ! dN(3,2) = (g*(2.*r - 2.*g + 1.))/2. ! dN(3,3) = (h*(2.*r - 2.*h + 1.))/2. ! dN(3,4) = ((g + h - 1.)*(2.*g + 2.*h - 2.*r - 1.))/2. ! dN(3,5) = (g*(2.*g + 2.*r - 1.))/2. ! dN(3,6) = (h*(2.*h + 2.*r - 1.))/2. ! dN(3,7) = g*(2.*g + 2.*h - 2.) ! dN(3,8) = -2.*g*h ! dN(3,9) = 2.*h*(g + h - 1.) ! dN(3,10) = -g*(2.*g + 2.*h - 2.) ! dN(3,11) = 2.*g*h ! dN(3,12) = -2.*h*(g + h - 1.) ! dN(3,13) = 2.*r*(g + h - 1.) ! dN(3,14) = -2.*g*r ! dN(3,15) = -2.*h*r ! ! ! ! ! ! ! ! return end subroutine C3D15_N_dN ! ! ! ! Finite element shape functions and derivatives ! For Element type: C3D20 subroutine C3D20_N_dN(nnpel,numdim,g,h,r,N,dN) implicit none ! inputs ! Number of nodes per element integer, intent(in) :: nnpel ! Dimensions of the analysis integer, intent(in) :: numdim ! Parametric coordinates real(8), intent(in) :: g real(8), intent(in) :: h real(8), intent(in) :: r ! ! outputs ! Shape functions real(8), dimension(nnpel), intent(out) :: N ! Shape function derivatives real(8), dimension(numdim,nnpel), intent(out) :: dN ! ! ! Shape functions for C3D20 element N(1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.)*(g + h + r + 2.) ! N(2) = -(g/8. + 1./8.)*(h - 1.)*(r - 1.)*(h - g + r + 2.) ! N(3) = -(g/8. + 1./8.)*(h + 1.)*(r - 1.)*(g + h - r - 2.) ! N(4) = -(g/8. - 1./8.)*(h + 1.)*(r - 1.)*(g - h + r + 2.) ! N(5) = -(g/8. - 1./8.)*(h - 1.)*(r + 1.)*(g + h - r + 2.) ! N(6) = -(g/8. + 1./8.)*(h - 1.)*(r + 1.)*(g - h + r - 2.) ! N(7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.)*(g + h + r - 2.) ! N(8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.)*(g - h - r + 2.) ! N(9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r - 1.) ! N(10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.) ! N(11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r - 1.) ! N(12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r - 1.) ! N(13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.) ! N(14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.) ! N(17) = -(r/4. - 1./4.)*(g - 1.)*(h - 1.)*(r + 1.) ! N(18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.)*(r + 1.) ! N(19) = -(r/4. - 1./4.)*(g + 1.)*(h + 1.)*(r + 1.) ! N(20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.)*(r + 1.) ! ! ! ! ! ! Shape function derivatives wrt natural coords for C3D20 element ! dN_dg dN(1,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (h - 1.)*(r - 1.)*(g + h + r + 2.)/8. ! dN(1,2) = (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (h - 1.)*(r - 1.)*(h - g + r + 2.)/8. ! dN(1,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (h + 1.)*(r - 1.)*(g + h - r - 2.)/8. ! dN(1,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (h + 1.)*(r - 1.)*(g - h + r + 2.)/8. ! dN(1,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (h - 1.)*(r + 1.)*(g + h - r + 2.)/8. ! dN(1,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (h - 1.)*(r + 1.)*(g - h + r - 2.)/8. ! dN(1,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (h + 1.)*(r + 1.)*(g + h + r - 2.)/8. ! dN(1,8) = (g/8. - 1./8.)*(h + 1.)*(r + 1.) + + (h + 1.)*(r + 1.)*(g - h - r + 2.)/8. ! dN(1,9) = - (g/4. - 1./4.)*(h - 1.)*(r - 1.) - + (g + 1.)*(h - 1.)*(r - 1.)/4. ! dN(1,10) = (h/4. - 1./4.)*(h + 1.)*(r - 1.) dN(1,11) = (g/4. - 1./4.)*(h + 1.)*(r - 1.) + + (g + 1.)*(h + 1.)*(r - 1.)/4. ! dN(1,12) = -(h/4. - 1./4.)*(h + 1.)*(r - 1.) ! dN(1,13) = (g/4. - 1./4.)*(h - 1.)*(r + 1.) + + (g + 1.)*(h - 1.)*(r + 1.)/4. ! dN(1,14) = -(h/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,15) = - (g/4. - 1./4.)*(h + 1.)*(r + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(1,16) = (h/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,17) = -(r/4. - 1./4.)*(h - 1.)*(r + 1.) ! dN(1,18) = (r/4. - 1./4.)*(h - 1.)*(r + 1.) ! dN(1,19) = -(r/4. - 1./4.)*(h + 1.)*(r + 1.) ! dN(1,20) = (r/4. - 1./4.)*(h + 1.)*(r + 1.) ! ! ! ! dN_dh dN(2,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (g/8. - 1./8.)*(r - 1.)*(g + h + r + 2.) ! dN(2,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (g/8. + 1./8.)*(r - 1.)*(h - g + r + 2.) ! dN(2,3) = - (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (g/8. + 1./8.)*(r - 1.)*(g + h - r - 2.) ! dN(2,4) = (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (g/8. - 1./8.)*(r - 1.)*(g - h + r + 2.) ! dN(2,5) = - (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (g/8. - 1./8.)*(r + 1.)*(g + h - r + 2.) ! dN(2,6) = (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (g/8. + 1./8.)*(r + 1.)*(g - h + r - 2.) ! dN(2,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (g/8. + 1./8.)*(r + 1.)*(g + h + r - 2.) ! dN(2,8) = (g/8. - 1./8.)*(r + 1.)*(g - h - r + 2.) - + (g/8. - 1./8.)*(h + 1.)*(r + 1.) ! dN(2,9) = -(g/4. - 1./4.)*(g + 1.)*(r - 1.) ! dN(2,10) = (h/4. - 1./4.)*(g + 1.)*(r - 1.) + + (g + 1.)*(h + 1.)*(r - 1.)/4. ! dN(2,11) = (g/4. - 1./4.)*(g + 1.)*(r - 1.) ! dN(2,12) = - (h/4. - 1./4.)*(g - 1.)*(r - 1.) - + (g - 1.)*(h + 1.)*(r - 1.)/4. ! dN(2,13) = (g/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,14) = - (h/4. - 1./4.)*(g + 1.)*(r + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(2,15) = -(g/4. - 1./4.)*(g + 1.)*(r + 1.) dN(2,16) = (h/4. - 1./4.)*(g - 1.)*(r + 1.) + + (g - 1.)*(h + 1.)*(r + 1.)/4. ! dN(2,17) = -(r/4. - 1./4.)*(g - 1.)*(r + 1.) ! dN(2,18) = (r/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,19) = -(r/4. - 1./4.)*(g + 1.)*(r + 1.) ! dN(2,20) = (r/4. - 1./4.)*(g - 1.)*(r + 1.) ! ! ! ! dN_dr dN(3,1) = (g/8. - 1./8.)*(h - 1.)*(r - 1.) + + (g/8. - 1./8.)*(h - 1.)*(g + h + r + 2.) ! dN(3,2) = - (g/8. + 1./8.)*(h - 1.)*(r - 1.) - + (g/8. + 1./8.)*(h - 1.)*(h - g + r + 2.) ! dN(3,3) = (g/8. + 1./8.)*(h + 1.)*(r - 1.) - + (g/8. + 1./8.)*(h + 1.)*(g + h - r - 2.) ! dN(3,4) = - (g/8. - 1./8.)*(h + 1.)*(r - 1.) - + (g/8. - 1./8.)*(h + 1.)*(g - h + r + 2.) ! dN(3,5) = (g/8. - 1./8.)*(h - 1.)*(r + 1.) - + (g/8. - 1./8.)*(h - 1.)*(g + h - r + 2.) ! dN(3,6) = - (g/8. + 1./8.)*(h - 1.)*(r + 1.) - + (g/8. + 1./8.)*(h - 1.)*(g - h + r - 2.) ! dN(3,7) = (g/8. + 1./8.)*(h + 1.)*(r + 1.) + + (g/8. + 1./8.)*(h + 1.)*(g + h + r - 2.) ! dN(3,8) = (g/8. - 1./8.)*(h + 1.)*(g - h - r + 2.) - + (g/8. - 1./8.)*(h + 1.)*(r + 1.) ! dN(3,9) = -(g/4. - 1./4.)*(g + 1.)*(h - 1.) ! dN(3,10) = (h/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,11) = (g/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,12) = -(h/4. - 1./4.)*(g - 1.)*(h + 1.) ! dN(3,13) = (g/4. - 1./4.)*(g + 1.)*(h - 1.) ! dN(3,14) = -(h/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,15) = -(g/4. - 1./4.)*(g + 1.)*(h + 1.) ! dN(3,16) = (h/4. - 1./4.)*(g - 1.)*(h + 1.) ! dN(3,17) = - (r/4. - 1./4.)*(g - 1.)*(h - 1.) - + (g - 1.)*(h - 1.)*(r + 1.)/4. ! dN(3,18) = (r/4. - 1./4.)*(g + 1.)*(h - 1.) + + (g + 1.)*(h - 1.)*(r + 1.)/4. ! dN(3,19) = - (r/4. - 1./4.)*(g + 1.)*(h + 1.) - + (g + 1.)*(h + 1.)*(r + 1.)/4. ! dN(3,20) = (r/4. - 1./4.)*(g - 1.)*(h + 1.) + + (g - 1.)*(h + 1.)*(r + 1.)/4. ! ! ! ! ! ! ! ! return end subroutine C3D20_N_dN ! ! ! ! ! ! ! ! ! ! end module meshprop ================================================ FILE: OXFORD-UMAT v3.3/miscellaneous.f ================================================ ! Oct. 27th, 2025 ! Eralp Demir ! module miscellaneous implicit none contains ! ! ******************************************************** ! ** general functions ** ! ******************************************************** ! ! ! ! ! Subroutine to calculate slip and kink bands ! Reference: https://doi.org/10.1016/j.actamat.2019.06.010 subroutine SlipandKink(noel,npt,K,S) use userinputs, only: maxnslip use globalvariables, only: + statev_theta, statev_evmp, + numel, numpt implicit none integer, intent(in) :: noel integer, intent(in) :: npt real(8), intent(out) :: K real(8), intent(out) :: S real(8) :: p_av, theta_av real(8) :: L, R p_av=sum(statev_evmp(:,:))/numpt/numel theta_av=sum(statev_theta(:,:))/numpt/numel ! plastic slip if (statev_evmp(noel,npt).gt.(1.5*p_av)) then L = 1. else L =0. end if ! rotation (changed from 3 to 2) if (statev_theta(noel,npt).gt.(3.*theta_av)) then R = 1. else R = 0. end if ! Kink band K = L * R ! Slip band S = L - K return end subroutine SlipandKink ! ! ! ! Subroutine to calculate the active slip sytems subroutine SlipSystemActivity(noel,npt,SSA) use userinputs, only: maxnslip use globalvariables, only: statev_gammadot, smallnum, + materialid, numslip_all implicit none integer, intent(in) :: noel integer, intent(in) :: npt real(8), intent(out) :: SSA(maxnslip) integer :: is, nslip, matid ! SSA=0. matid = materialid(noel,npt) if (matid.ne.0) then nslip = numslip_all(matid) do is=1,nslip if (abs(statev_gammadot(noel,npt,is)).gt.smallnum) then SSA(is)=1. end if end do end if ! return end subroutine SlipSystemActivity ! ! ! ! ! Subroutine to calculate strain projections subroutine ProjectLatticeStrain(noel,npt,eps) use globalvariables, only: statev_Eec use utilities, only: vecmat6 implicit none integer, intent(in) :: noel integer, intent(in) :: npt real(8), intent(out) :: eps real(8) :: hkl(3) real(8) :: Eec33(3,3), Eec(6) integer i, j ! ! THIS IS DEFINED BY THE USER ! Define hkl direction hkl(1) = 0. hkl(2) = -1. hkl(3) = 1. ! ! Normalize hkl=hkl/norm2(hkl) ! ! Read lattice strains Eec=statev_Eec(noel,npt,:) ! ! Undo shears Eec(4:6)=Eec(4:6)/2. ! ! Convert to a 3x3 matrix call vecmat6(Eec,Eec33) ! ! Project eps=0. do i=1,3 do j=1,3 eps = eps + + hkl(i)*Eec33(i,j)*hkl(j) end do end do ! ! return end subroutine ProjectLatticeStrain ! ! ! ! ! ! ! Subroutine to calculate Fatemi Socie parameter subroutine FatemiSocieParameter(noel,npt,FSp) use userinputs, only: maxnslip use globalvariables, only: statev_sigma, statev_gammasum, + statev_gmatinv, statev_tauceff, materialid, norc_0_all, + numslip_all use utilities, only: vecmat6 implicit none integer, intent(in) :: noel integer, intent(in) :: npt real(8), intent(out) :: FSp ! Variables used in the subroutine real(8) :: sig6(6), sig3x3(3,3) real(8) :: gammasum(maxnslip) real(8) :: gmatinv(3,3) real(8) :: tauceff(maxnslip), tauceffmax integer :: matid real(8) :: norc(3), nors(3) real(8) :: shmax, sigmax, k integer :: ismax, is, i, j, nslip ! ! Input parameter "k" ! Reference: https://doi.org/10.1016/j.ijfatigue.2011.01.003 k = 0.5 ! ! FSp=0. sig6 = statev_sigma(noel,npt,:) gammasum = statev_gammasum(noel,npt,:) gmatinv = statev_gmatinv(noel,npt,:,:) tauceff = statev_tauceff(noel,npt,:) matid = materialid(noel,npt) if (matid.ne.0) then nslip = numslip_all(matid) ! ! ! Find maximum slip shmax=0.; ismax=0 do is=1,nslip if (abs(gammasum(is)).gt.shmax) then shmax = abs(gammasum(is)) ismax = is end if end do ! ! If there is no maximum or zero slip if (ismax.eq.0) then ! FSp=0. ! ! If there some slip on any system else ! Maximum CRSS tauceffmax = tauceff(ismax) ! ! Slip plane normal of maximum slip norc = norc_0_all(matid,ismax,:) ! ! Transform to sample reference nors = matmul(gmatinv,norc) ! ! Convert stress to 3x3 matrix call vecmat6(sig6,sig3x3) ! ! Project stress to the slip plane of maximum slip sigmax = 0. do i = 1, 3 do j = 1, 3 sigmax = sigmax + + nors(i)*sig3x3(i,j)*nors(j) end do end do ! ! Check for zero tauceffmax if (tauceffmax.gt.0.) then ! Parameter calculation FSp = shmax/2.*(1.+k*sigmax/tauceffmax) else FSp = 0. end if ! end if else FSp = 0. end if ! return end subroutine FatemiSocieParameter ! ! ! ! Identify the neighboring points subroutine FindNeighbours use globalvariables, only: pi, + numel, numpt, ipcoords, numdim, ipdomain, + numneigh, eleneigh, iptneigh, facneigh use userinputs, only: maxneigh, horizonR implicit none ! Variables used in this subroutine integer :: iel, ipt, jel, jpt, k, ind real(8) :: d, sum2, Vi, Vj ! ! Loop through each point do iel=1, numel do ipt = 1, numpt Vi = ipdomain(iel,ipt) ind=0 do jel=1,numel if (jel.ne.iel) then do jpt=1,numpt Vj = ipdomain(jel,jpt) sum2=0. do k = 1, numdim sum2 = sum2 + + (ipcoords(iel,ipt,k) - ipcoords(jel,jpt,k))**2 end do d = sqrt(sum2) if (d.le.horizonR) then ind=ind+1 ! Store the first maxneigh - array size if (ind.le.maxneigh) then numneigh(iel,ipt)=ind eleneigh(iel,ipt,ind)=jel iptneigh(iel,ipt,ind)=jpt facneigh(iel,ipt,ind)= + Vj/Vi*exp(-pi*sum2/horizonR**2) end if end if end do end if end do enddo enddo return end subroutine FindNeighbours ! ! ! ! end module miscellaneous ================================================ FILE: OXFORD-UMAT v3.3/slip.f ================================================ ! Oct. 6th, 2022 ! Eralp Demir ! Slip laws ! 1. sinh law ! 2. double exponent law ! 3. power law module slip implicit none contains ! ! subroutine sinhslip( + Schmid,SchmidxSchmid, + tau,X,tauc,rhofor, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot, + dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB use utilities, only : gmatvec6 use errors, only: error implicit none ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Forest dislocation density real(8), intent(in) :: rhofor(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! variables used within this subroutine integer :: is real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0, + DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav real(8) :: abstau, signtau ! ! ! gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! ! ! ! Obtain slip parameters ! constant alpha alpha0 = slipparam(1) ! constant beta beta0 = slipparam(2) ! rhom0 - mobile dislocation density rhom0 = slipparam(4) ! DeltaF - activation energy to overcome Pierls barrier DeltaF = slipparam(5) ! nu0 - attempt frequency nu0 = slipparam(6) ! gamma0 - multiplier for activation volume ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta gamma0 = slipparam(7)*1.d-12 ! AV0 - activation volume (if defined not=0) ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta AV0 = slipparam(8)*1.d-12 ! ! ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! psi - fraction of mobile dislocations ! If there is no irradiation if (irradiationmodel == 0) then ! psi = slipparam(3) ! elseif (irradiationmodel == 1) then ! psi = irradiationparam(3) ! elseif (irradiationmodel == 2) then ! psi = slipparam(3) ! endif ! ! ! Scale mobile dislocation density rhom = psi * rhom0 ! ! endif ! ! ! ! Pmat=0.; Lp = 0.; Dp = 0. ! Loop through slip systems do is = 1,nslip ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! ! Outer multipler "alpha" calculation: ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T) ! ! alpha is defined as a constant else ! alpha = alpha0 ! endif ! ! ! ! Activation volume calculation: ! ! if AV is defined parametrically if (AV0 == 0.) then ! ! if (useaveragestatevars == 0) then ! ! average spacing based on forest densities lambda = 1./sqrt(rhofor(is)) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! elseif (useaveragestatevars == 1) then ! ! average forest density rhoav = sum(rhofor)/nslip ! ! average spacing lambda = 1./sqrt(rhoav) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! endif ! ! AV is defined as a constant else ! ! AV = AV0 * burgerv(is)**3. ! ! ! end if ! ! ! THESE CHECKS SHALL BE PLACED TO INITIALIZATION! !! Check for zero activation volume ! if (AV == 0.) then ! call error(8) ! end if ! ! ! ! ! Inner multiplier "beta" calculation: ! ! if beta is defined parametrically if (beta0 == 0.) then ! ! ! beta = AV/KB/T ! ! ! ! beta is defined as a constant else ! beta = beta0 ! ! endif ! ! ! ! c/a ratio correction for HCP if(iphase == 3) then ! Correction by C. Hardie - 26.05.2022 ! This correction needs to be done if activation volume ! IS NOT DEFINED PARAMETRICALLY, because it is already taken into account then! if (AV0 /= 0.0) then ! Corrected by A. Pechero - 23.02.2023 ! same burgers magnitude for 1st-12th slip systems ! changes only if slip system is greater than 12th if (is > 12) then alpha = caratio*caratio*alpha beta = caratio*caratio*beta endif end if end if ! ! This is critical threshold if (abstau >= tauc(is)) then ! ! slip rate gammadot(is) = alpha* + sinh(beta*(abstau-tauc(is)))*signtau ! ! dgammadot_dtau(is) = alpha*beta* + cosh(beta*(abstau-tauc(is))) ! ! dgammadot_dtauc(is) = -alpha*beta* + cosh(beta*(abstau-tauc(is)))*signtau ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! ! ! ! Update plastic velocity gradient Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! ! end if ! end do ! ! ! Find plastic flow direction Dp = (Lp + transpose(Lp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! end subroutine sinhslip ! ! ! ! ! ! ! ! ! ! ! Zhengxuan Fan & Serge Kruch (2020) A comparison of different crystal ! plasticity finite-element models on the simulation of nickel alloys, ! Materials at High Temperatures, 37:5, 328-339, DOI: 10.1080/09603409.2020.1801951 ! subroutine doubleexpslip( + Schmid,SchmidxSchmid, + tau,X,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot,dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB, smallnum use utilities, only : gmatvec6 implicit none ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! variables used within this subroutine integer :: is real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, ratio real(8) :: abstau, signtau ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! Inner exponent (p) p = slipparam(2) ! Outer exponent (q) q = slipparam(3) ! Activation energy for octahedral slip (J) Foct = slipparam(4) ! Activation energy for cubic slip (J) Fcub = slipparam(5) ! ! ! Pmat = 0.; Lp = 0.; Dp = 0. gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! Contribution to Lp of all slip systems do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! RSS/CRSS ratio ratio=abstau/tauc(is) ! ! Avoid negative values before elevating to power q if (ratio >= 1.0) then ! gammadot(is) = signtau*gammadot0 !*exp(-dF/(kB*CurrentTemperature)) ! ! Standard case elseif (ratio /= 0.) then ! ! Activation energy DeltaF=Foct ! ! Cubic slip case with a different activation energy ! If cubic slip systems are defined if (cubicslip == 1) then ! For cubic slip systems: 13-..-18 if (is > 12) then DeltaF=Fcub end if endif ! ! ! Strain rate due to thermally activated glide (rate dependent plasticity) gammadot(is) = signtau*gammadot0* + exp(-(DeltaF/KB/T)*((1.-(ratio**p))**q)) ! if (abs(gammadot(is)) > smallnum) then ! ! Calculate derivative d ( gammadot(i) ) / d ( tau(i) ) dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q + *((1.- (ratio**p))**(q-1.))*p/tauc(is)*(ratio**(p-1.)) ! ! ! ! Calculate derivative d ( gammadot(i) ) / d ( tauc(i) ) dgammadot_dtauc(is) = -abs(gammadot(is))*DeltaF/KB/T*q + *((1.- (ratio**p))**(q-1.))*p/tauc(is)*(ratio**p)*signtau ! else gammadot(is)=0. end if ! ! endif ! ! ! ! ! ! Contribution to Jacobian Pmat = Pmat + + dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:) ! ! ! Update plastic velocity gradient Lp = Lp + gammadot(is)*Schmid(is,:,:) ! end do ! ! ! Find plastic flow direction Dp = (Lp + transpose(Lp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! end subroutine doubleexpslip ! ! ! ! ! ! ! ! ! ! ! ! subroutine powerslip( + Schmid,SchmidxSchmid, + tau,X,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Dp,Pmat,gammadot,dgammadot_dtau, + dgammadot_dtauc) ! use userinputs, only : useaveragestatevars, maxnparam use utilities, only : gmatvec6 implicit none ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(in) :: tau(nslip) ! Backstress real(8), intent(in) :: X(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! plastic stretch rate at the deformed configuration real(8), intent(out) :: Dp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(out) :: gammadot(nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of slip rates wrto crss real(8), intent(out) :: dgammadot_dtauc(nslip) ! ! Variables used within this subroutine integer :: is, i, j real(8) :: gammadot0, power_n, constant_n, slope_n, ratio real(8) :: abstau, signtau ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! rate sensitivity exponent- constant (n) constant_n = slipparam(2) ! temperature dependence of exponent (dn/dT) slope_n = slipparam(3) ! ! ! ! ! Temperature dependence of rate sensitivity exponent power_n = slope_n * T + constant_n ! ! Pmat = 0.; Lp = 0.; Dp = 0. gammadot = 0. dgammadot_dtau = 0. dgammadot_dtauc = 0. ! ! do is=1,nslip ! ! ! Absolute value of RSS abstau = abs(tau(is)-X(is)) ! ! Sign of RSS signtau = sign(1.0,tau(is)-X(is)) ! ! ratio = abstau / tauc(is) ! ! gammadot(is) = gammadot0*ratio**power_n*signtau ! ! ! dgammadot_dtau(is) = gammadot0*power_n + /tauc(is)*ratio**(power_n-1.0) ! ! dgammadot_dtauc(is) = -gammadot0*power_n + /tauc(is)*ratio**(power_n)*signtau ! ! Pmat = Pmat + + dt*dgammadot_dtau(is)*SchmidxSchmid(is,:,:) ! ! Update plastic velocity gradient Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! ! end do ! ! Find plastic flow direction Dp = (Lp + transpose(Lp))/2. ! ! Symmetrize Pmat Pmat = (Pmat + transpose(Pmat))/2. ! ! ! end subroutine powerslip ! ! ! ! ! ! ! ! end module slip ================================================ FILE: OXFORD-UMAT v3.3/slipreverse.f ================================================ ! Oct. 6th, 2023 ! Chris Hardie ! Reverse Slip laws ! 1. sinh law ! 2. double exponent law ! 3. power law module slipreverse implicit none contains ! ! ! ! subroutine doubleexpslipreverse( + Schmid,SchmidxSchmid, + tau, X, abstau,signtau,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,Pmat,absgammadot,gammadot, + dtau_dgammadot,dgammadot_dtau) ! use userinputs, only : useaveragestatevars, maxnparam use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Absolute value of slip real(8), intent(in) :: absgammadot(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! slip rates real(8), intent(in) :: gammadot(nslip) ! crss at the current time step real(8), intent(in) :: X(nslip) ! Value of RSS real(8), intent(inout) :: tau(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! absolute value of RSS real(8), intent(out) :: abstau(nslip) ! ! variables used within this subroutine integer :: is real(8) :: gammadot0, p, q, Foct, Fcub, DeltaF, xx, u ! ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! Inner exponent (p) p = slipparam(2) ! Outer exponent (q) q = slipparam(3) ! Activation energy for octahedral slip (J) Foct = slipparam(4) ! Activation energy for cubic slip (J) Fcub = slipparam(5) ! ! ! Pmat = 0.; Lp = 0. ! ! Contribution to Lp of all slip systems do is=1,nslip ! ! RSS/CRSS ratio xx=abstau(is)/tauc(is) ! ! Activation energy DeltaF=Foct ! ! Cubic slip case with a different activation energy ! If cubic slip systems are defined if (cubicslip == 1) then ! For cubic slip systems: 13-..-18 if (is > 12) then DeltaF=Fcub end if endif ! ! u=-log(absgammadot(is)/gammadot0)*KB*T/DeltaF ! abstau(is)=max(tauc(is)*(1-u**(1/q))**(1/p), + tauc(is)) ! tau(is)=abstau(is)*signtau(is) ! ! if (absgammadot(is)>0.0) then dtau_dgammadot(is,is) = (KB*T*tauc(is)/ + (absgammadot(is)*DeltaF*q*p))* + (1-u**(1/q))**((1-p)/p)*u**((1-q)/q) else dtau_dgammadot(is,is) = 0.0 end if ! ! ! Calculate derivative d ( gammadot(i) ) / d ( tau(i) ) dgammadot_dtau(is) = abs(gammadot(is))*DeltaF/KB/T*q + *(1.- xx**p)**(q-1.)*p/tauc(is)*xx**(p-1.) ! ! ! ! Contribution to Jacobian Pmat = Pmat + + dt*dgammadot_dtau(is) * SchmidxSchmid(is,:,:) ! ! Plastic velocity gradient contribution Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! end do ! ! return end subroutine doubleexpslipreverse ! ! ! ! subroutine powerslipreverse( + Schmid,SchmidxSchmid, + tau, X, abstau,signtau,tauc, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,absgammadot, gammadot, + dtau_dgammadot, + dgammadot_dtau, Pmat) ! ! use userinputs, only : useaveragestatevars, + maxnparam, maxnslip use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(inout) :: tau(nslip) ! absolute value of RSS real(8), intent(inout) :: abstau(nslip) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! crss at the current time step real(8), intent(in) :: X(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(inout) :: gammadot(nslip) ! absolute slip rates real(8), intent(inout) :: absgammadot(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! Derivative of slip rates wrto rss real(8), intent(out) :: dgammadot_dtau(nslip) ! variables used within this subroutine real(8) :: gammadot0, constant_n, slope_n, power_n ! absolute ratio of RSS/CRSS real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max integer :: is ! dtau_dgammadot = 0. dgammadot_dtau = 0. ! ! Obtain slip parameters ! Reference strain rate gammadot0 = slipparam(1) ! rate sensitivity exponent- constant (n) constant_n = slipparam(2) ! temperature dependence of exponent (dn/dT) slope_n = slipparam(3) ! ! ! ! ! Temperature dependence of rate sensitivity exponent power_n = slope_n * T + constant_n ! ! xtau=abstau/tauc xtau_max=maxval(xtau) xtau_norm=xtau/xtau_max ! Lp = 0. ! Loop through slip systems do is = 1,nslip ! ! This is critical threshold if (((abstau(is) >= tauc(is)).OR. + (absgammadot(is) .GT. 1.0e-6))) then ! ! shear stress as a function of slip rate ! dgammadot_dtau(is) = + (power_n*gammadot0/tauc(is))*xtau(is)**(power_n-1) ! abstau(is)= + max(tauc(is)*(absgammadot(is)/gammadot0)**(1/power_n),tauc(is)) ! tau(is)=abstau(is)*signtau(is) ! ! if (absgammadot(is)>0.0) then dtau_dgammadot(is,is) = + (tauc(is)/power_n*gammadot0)* + (absgammadot(is)/gammadot0)**((1-power_n)/power_n) else dtau_dgammadot(is,is) = 0.0 end if ! ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! else ! ! tau(is) = tauc(is)*signtau(is) ! absgammadot(is)=0.0 ! gammadot(is)=0.0 ! dtau_dgammadot(is,is) = 0. ! end if ! end do ! ! return end subroutine powerslipreverse ! ! ! ! ! ! ! subroutine sinhslipreverse( + Schmid, SchmidxSchmid, signtau, + abstau,tau, X,tauc,rhofor, + burgerv,dt,nslip,iphase,T,slipparam, + irradiationmodel,irradiationparam, + cubicslip,caratio, + Lp,absgammadot,gammadot, + dtau_dgammadot, dgammadot_dtau, Pmat) ! use userinputs, only : useaveragestatevars, + maxnparam, maxnslip use globalvariables, only : KB use utilities, only : gmatvec6 implicit none ! ! Schmid tensor real(8), intent(in) :: Schmid(nslip,3,3) ! Schmid dyadic real(8), intent(in) :: SchmidxSchmid(nslip,6,6) ! RSS real(8), intent(inout) :: tau(nslip) ! absolute value of RSS real(8), intent(inout) :: abstau(nslip) ! sign of RSS real(8), intent(in) :: signtau(nslip) ! CRSS real(8), intent(in) :: tauc(nslip) ! Forest dislocation density real(8), intent(in) :: rhofor(nslip) ! Burger's vector real(8), intent(in) :: burgerv(nslip) ! time increment real(8), intent(in) :: dt ! number of slip systems integer, intent(in) :: nslip ! phase id integer, intent(in) :: iphase ! temperature real(8), intent(in) :: T ! slip parameters real(8), intent(in) :: slipparam(maxnparam) ! irradiation model id integer, intent(in) :: irradiationmodel ! irradiation model parameters real(8), intent(in) :: irradiationparam(maxnparam) ! cubic slip for fcc integer, intent(in) :: cubicslip ! c/a ratio for hcp materials real(8), intent(in) :: caratio ! crss at the current time step real(8), intent(in) :: X(nslip) ! plastic part of velocity gradient real(8), intent(out) :: Lp(3,3) ! tangent matrix required for N-R iteration (at the inner loop) real(8), intent(out) :: Pmat(6,6) ! slip rates real(8), intent(inout) :: gammadot(nslip) ! absolute slip rates real(8), intent(inout) :: absgammadot(nslip) ! Derivative of rss wrt slip rates real(8), intent(out) :: dtau_dgammadot(nslip,nslip) ! Derivative of slip rates wrto rss real(8) :: dgammadot_dtau(nslip) ! variables used within this subroutine ! absolute ratio of RSS/CRSS real(8) :: xtau(nslip), xtau_norm(nslip), xtau_max integer :: is real(8) :: alpha0, alpha, beta0, beta, rhom, rhom0, + DeltaF, nu0, gamma0, AV0, psi, lambda, AV, rhoav ! dtau_dgammadot = 0. dgammadot_dtau = 0. ! ! Obtain slip parameters ! constant alpha alpha0 = slipparam(1) ! constant beta beta0 = slipparam(2) ! rhom0 - mobile dislocation density rhom0 = slipparam(4) ! DeltaF - activation energy to overcome Pierls barrier DeltaF = slipparam(5) ! nu0 - attempt frequency nu0 = slipparam(6) ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) ! Unit conversion factor for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta gamma0 = slipparam(7)*1.d-12 ! AV0 - activation volume (if defined not=0) ! Unit conversion factor is for Boltmann constant (J/K) and stress (MPa) ! The multiplier 1d-12 stands for unit conversion for beta AV0 = slipparam(8)*1.d-12 ! ! ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! psi - fraction of mobile dislocations ! If there is no irradiation if (irradiationmodel == 0) then ! psi = slipparam(3) ! elseif (irradiationmodel == 1) then ! psi = irradiationparam(3) elseif (irradiationmodel == 2) then ! psi = slipparam(3) ! endif ! ! ! Scale mobile dislocation density rhom = psi * rhom0 ! ! endif ! ! ! Pmat = 0. Lp = 0. ! Loop through slip systems do is = 1,nslip ! ! ! alpha calculation ! ! if alpha is defined parametrically if (alpha0 == 0.) then ! ! alpha = rhom*burgerv(is)**2.*nu0*exp(-DeltaF/KB/T) ! ! alpha is defined as a constant else ! alpha = alpha0 ! endif ! ! ! ! Activation volume calculation: ! ! if AV is defined parametrically if (AV0 == 0.) then ! ! if (useaveragestatevars == 0) then ! ! average spacing based on forest densities lambda = 1./sqrt(rhofor(is)) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! elseif (useaveragestatevars == 1) then ! ! average forest density rhoav = sum(rhofor)/nslip ! ! average spacing lambda = 1./sqrt(rhoav) ! ! activation volume AV = gamma0*lambda*burgerv(is)**2. ! ! ! endif ! ! AV is defined as a constant else ! ! AV = AV0 * burgerv(is)**3. ! ! ! end if ! ! ! ! ! beta calculation ! ! if beta is defined parametrically if (beta0 == 0.) then ! ! beta = AV/KB/T ! ! beta is defined as a constant else ! beta = beta0 ! ! endif ! ! ! ! ! c/a ratio correction for HCP if(iphase == 3) then ! same burgers magnitude for first 1-6 and 25-30 ! change only 7-24 if (is > 12) then alpha = caratio*caratio*alpha beta = caratio*caratio*beta endif end if ! xtau=abstau/tauc xtau_max=maxval(xtau) xtau_norm=xtau/xtau_max ! ! This is critical threshold if (((abstau(is) >= tauc(is)) + .AND. (xtau_norm(is) .GT. 0.0)) + .OR. (absgammadot(is) .GT. 1.0e-6)) then ! ! shear stress as a function of slip rate ! dgammadot_dtau(is) = alpha*beta* + cosh(beta*(abstau(is)-tauc(is))) abstau(is)=tauc(is)+ + (1/beta)*asinh(absgammadot(is)/alpha) ! tau(is)=abstau(is)*signtau(is) ! ! dtau_dgammadot(is,is) = 1/(alpha*beta* + sqrt(absgammadot(is)**2*alpha**-2+1)) ! ! ! Pmat = Pmat + dt*dgammadot_dtau(is)* + SchmidxSchmid(is,:,:) ! Lp = Lp + gammadot(is)*Schmid(is,:,:) ! ! else ! ! tau(is) = tauc(is)*signtau(is) ! absgammadot(is)=0.0 ! gammadot(is)=0.0 ! dtau_dgammadot(is,is) = 0. ! end if end do ! ! return end subroutine sinhslipreverse ! ! ! ! end module slipreverse ================================================ FILE: OXFORD-UMAT v3.3/straingradients.f ================================================ ! Jan. 1st, 2023 ! Eralp Demir ! module straingradients implicit none ! contains ! ! ! ! ! ! GND model-1 ! GND calculation using curl of (Fp) together with L2 approximation ! Cumulative (total) calculation of GNDs ! Shutting down non-active slip systems followed by singular value decompostion ! Proposed by Chris Hardie subroutine gndmodel1 use userinputs, only : maxnslip, + gndhomogenization, gndthreshold use globalvariables, only : numel, numdim, numpt, nnpel, + materialid, numslip_all, numscrew_all, screw_all, + slip2screw_all, burgerv_all, dirc_0_all, trac_0_all, gradip2ip, + eijk, I3, statev_curvature, statev_Lambda, statev_gammasum, + statev_Fp, statev_gmatinv_0, statev_gnd, statev_gnd_t use utilities, only: matvec9 implicit none ! Local variables integer matid, nslip, nscrew ! Some variables are allotable since material type can vary hence ! the NUMBER OF SLIP SYSTEMS can alter within the mesh real(8) :: burgerv(maxnslip) real(8) :: gammasum(maxnslip) integer :: screw(maxnslip) real(8) :: slip2screw(maxnslip,maxnslip) real(8) :: dirc_0(maxnslip,3) real(8) :: trac_0(maxnslip,3) ! real(8) :: dirs(maxnslip,3) real(8) :: tras(maxnslip*2,3) real(8) :: Bmat(maxnslip*2,9) real(8) :: rhoGND(maxnslip*2) real(8) :: drhoGND(maxnslip*2) ! real(8) :: grad_invN(3,numpt), grad(3,3,3) real(8) :: Lambda(3,3), sum, Lambda_vec(9) real(8) :: kappa(3,3), kappa_vec(9), trace ! real(8) :: Fp_ip(numpt,3,3) real(8) :: gmatinv(3,3) ! integer :: i, j, k, l integer :: ie, ip, is ! ! ! ! ! Loop through the elements do ie=1,numel ! ! Reset arrays burgerv=0.; screw=0 dirc_0=0.; trac_0=0. dirs=0.; tras=0. slip2screw=0. ! ! ! ! ! Assume the same material for al the Gaussian points of an element matid = materialid(ie,1) ! ! Number of slip systems nslip = numslip_all(matid) ! ! Number of screw systems nscrew = numscrew_all(matid) ! ! Screw systems screw(1:nscrew) = screw_all(matid,1:nscrew) ! ! Slip to screw mapping slip2screw(1:nscrew,1:nslip) = + slip2screw_all(matid,1:nscrew,1:nslip) ! ! Burgers vector burgerv(1:nslip) = burgerv_all(matid,1:nslip) ! ! undeformed slip direction dirc_0(1:nslip,1:3) = dirc_0_all(matid,1:nslip,1:3) ! ! undeformed line direction trac_0(1:nslip,1:3) = trac_0_all(matid,1:nslip,1:3) ! ! ! Store Fp for each IP ! Plastic part of the deformation gradient Fp_ip = statev_Fp(ie,1:numpt,1:3,1:3) ! ! ! Calculate the gradient of Fp ! Calculate the gradients using gradient operator do ip = 1, numpt ! ! ! Reset arrays Bmat=0.; rhoGND=0.; gammasum=0. ! ! Crystal to sample transformation matrix gmatinv = statev_gmatinv_0(ie,ip,:,:) ! ! ! Slip rate per slip system gammasum(1:nslip) = statev_gammasum(ie,ip,1:nslip) ! ! do is = 1, nslip ! Transform slip directions to sample reference dirs(is,:) = matmul(gmatinv, dirc_0(is,:)) ! ! Transform line directions to sample reference tras(is,:) = matmul(gmatinv, trac_0(is,:)) ! end do ! ! ! Calculate Bmatrix - using singular value decomposition ! Arsenlis, A. and Parks, D.M., 1999. Acta materialia, 47(5), pp.1597-1611. call calculateBmatPINV(nslip,nscrew, + screw(1:nscrew), slip2screw(1:nscrew,1:nslip), + dirs(1:nslip,:),tras(1:nslip,:),burgerv(1:nslip), + gammasum(1:nslip), Bmat(1:nslip+nscrew,1:9)) ! ! ! Use gradients per integration point if (gndhomogenization == 0) then ! grad_invN = gradip2ip(ie,ip,:,:) ! ! Use the gradient at the element center else ! grad_invN = gradip2ip(ie,numpt+1,:,:) ! end if ! ! ! ! ! grad(k,i,j) = Fp(i,j,k) do k = 1,3 do j = 1,3 do i = 1,3 grad(k,i,j) = + dot_product(grad_invN(k,:),Fp_ip(:,i,j)) end do end do end do ! ! ! calculate curl ! NOTE THE NEGATIVE SIGN AND TRANSPOSE ARE MISSING IN THE ORIGINAL REFERENCE ! lambda(l,k) = -eijk(i,j,k) * Fp(l,j,i) ! index "i" refers to the gradient direction do k = 1,3 do l = 1,3 sum = 0. do i = 1, 3 do j = 1, 3 sum = sum - eijk(i,j,k)*grad(i,l,j) !! earlier version (no "-" sign) ! sum = sum + eijk(i,j,k)*grad(i,l,j) end do end do Lambda(l,k) = sum end do end do ! ! Vectorize the incompatibility call matvec9(Lambda,Lambda_vec) ! ! ! Assign the Incompatibility statev_Lambda(ie,ip,:) = Lambda_vec ! ! ! Trace trace = Lambda(1,1) + Lambda(2,2) + Lambda(3,3) ! ! Calculate curvature (negative transpose + trace term) kappa = -transpose(Lambda) + I3 * trace / 2. ! ! Convert curvature to vector call matvec9(kappa,kappa_vec) ! ! ! Assign curvature statev_curvature(ie,ip,1:9) = kappa_vec(1:9) ! ! ! ! ! Reset arrays rhoGND=0.; drhoGND=0. ! ! Compute the dislocation densities using L2 minimization rhoGND(1:nslip+nscrew) = + matmul(Bmat(1:nslip+nscrew,1:9),Lambda_vec) ! ! ! Calculate the increment of GNDs drhoGND(1:nslip+nscrew) = + rhoGND(1:nslip+nscrew) - statev_gnd_t(ie,ip,1:nslip+nscrew) ! ! ! Check for a threshold do is = 1, nslip+nscrew if (abs(drhoGND(is))nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b ! end do ! ! L2 solution by KKT condition ! Assign zero initially KKTmat = 0. ! Assign the identity part do i = 1, nslip+nscrew KKTmat(i,i)=2. end do ! ! Assign A^T - upper right part KKTmat(1:nslip+nscrew,nslip+nscrew+1:nslip+nscrew+9) = + transpose(Amat) ! ! Assign A - lower left part KKTmat(nslip+nscrew+1:nslip+nscrew+9,1:nslip+nscrew) = + Amat ! ! Take the inverse call nolapinverse(KKTmat,BmatKKT,nslip+nscrew+9) ! ! Set to zero if not invertible if(any(BmatKKT /= BmatKKT)) then ! Set the outputs to zero initially BmatKKT = 0. ! error message in .dat file call error(10) end if ! ! ! ! ! ! return end subroutine calculateBmatKKT ! ! ! ! ! Calculate Bmatrix using singular value decomposition subroutine calculateBmat(nslip,nscrew,screw,dirs,tras,burgerv, + Bmat) use utilities, only : nolapinverse use errors, only: error implicit none ! number of slip systems integer, intent(in) :: nslip ! number of screw systems integer, intent(in) :: nscrew ! screw systems integer, dimension(nscrew), intent(in) :: screw ! slip direction in sample reference real(8), dimension(nslip,3), intent(in) :: dirs ! transverse (to slip) direction in sample reference real(8), dimension(nslip,3), intent(in) :: tras ! Burgers vector real(8), dimension(nslip), intent(in) :: burgerv ! Rank Deficit B-matrix real(8), dimension(nslip+nscrew,9), intent(out) :: Bmat ! ! Local variables used within this subroutine ! Note A^T*A is rank deficit real(8) :: Amat(9,nslip+nscrew) real(8) :: AmatAmatT(9,9) real(8) :: invAmatAmatT(9,9) real(8) :: s(3), l(3), b integer :: i, j, is ! ! Construct Nye's tensor Amat=0. ! Loop through dislocation configurations do i = 1, nslip+nscrew ! ! ! Slip direction ! For screws if (i>nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b ! end do ! ! ! ! ! ! Other solution (former method) ! ----------------------------------------------- ! This is preserved to check its validity ! Right pseudo inverse is used ! This is exactly the same as the inversion by singular value decomposition ! Compute the L2 coefficient AmatAmatT = matmul(Amat,transpose(Amat)) ! ! Take the inverse call nolapinverse(AmatAmatT,invAmatAmatT,9) ! ! ! Compute Bmat Bmat = matmul(transpose(Amat),invAmatAmatT) ! ! Set to zero if not invertible if(any(Bmat /= Bmat)) then ! Set the outputs to zero initially Bmat = 0. ! error message in .dat file call error(10) end if ! ! ! return end subroutine calculateBmat ! ! ! Calculate Bmatrix using singular value decomposition subroutine calculateBmatPINV(nslip,nscrew,screw,slip2screw, + dirs,tras,burgerv,gammadot,BmatPINV) use userinputs, only: slipthreshold use utilities, only: svdgeninverse use errors, only: error implicit none ! number of slip systems integer, intent(in) :: nslip ! number of screw systems integer, intent(in) :: nscrew ! screw systems integer, dimension(nscrew), intent(in) :: screw ! slip to screw mapping real(8), dimension(nscrew,nslip), intent(in) :: slip2screw ! slip direction in sample reference real(8), dimension(nslip,3), intent(in) :: dirs ! transverse (to slip) direction in sample reference real(8), dimension(nslip,3), intent(in) :: tras ! Burgers vector real(8), dimension(nslip), intent(in) :: burgerv ! Cumulative slip per slip system real(8), dimension(nslip), intent(in) :: gammadot ! Rank Deficit B-matrix real(8), dimension(nslip+nscrew,9), intent(out) :: BmatPINV ! ! Local variables used within this subroutine ! Note A^T*A is rank deficit real(8) :: Amat(9,nslip+nscrew) real(8) :: gdot_screw(nscrew) ! real(8) :: AmatTAmat(nslip+nscrew,nslip+nscrew) ! real(8) :: invAmatTAmat(nslip+nscrew,nslip+nscrew) real(8) :: s(3), l(3), b integer :: i, j, is, err ! ! Construct Nye's tensor Amat=0. ! Loop through dislocation configurations do i = 1, nslip+nscrew ! ! ! Slip direction ! For screws if (i>nslip) then is = screw(i-nslip) s = dirs(is,:) l = dirs(is,:) b = burgerv(is) ! For edges else s = dirs(i,:) l = tras(i,:) b = burgerv(i) end if ! ! ! The ordering of Amat is as follows: ! 11-12-13-21-22-23-31-32-33 Amat(1,i)=s(1)*l(1)*b; Amat(2,i)=s(1)*l(2)*b Amat(3,i)=s(1)*l(3)*b; Amat(4,i)=s(2)*l(1)*b Amat(5,i)=s(2)*l(2)*b; Amat(6,i)=s(2)*l(3)*b Amat(7,i)=s(3)*l(1)*b; Amat(8,i)=s(3)*l(2)*b Amat(9,i)=s(3)*l(3)*b end do ! ! ! Sum slip on each system sharing common screw types gdot_screw= matmul(slip2screw,gammadot) ! ! ! Shut down the slip systems ! that have a cumulative slip ! less than 10^-10 ! For edge type of dislocations do is = 1, nslip ! if (abs(gammadot(is)) cubicslipystem flag ! material-08: zirconium / hcp / phase-3 ! material-09: berylium / hcp / phase-3 (not ready yet) ! material-10: alpha-uranium / alphauranium / phase-4 ! material-11: copper / UKAEA / Vikram Phalke ! material-12: CuCrZr / UKAEA / Vikram Phalke ! material-13: Eurofer-97 / HRI-summer internship programme / Yunzhou Bai ! material-14: Cu and CuCrZr / UKAEA / Vikram Phalke ! ! ! ! ********************************************** ! ** MATERIALPARAMETERS sets the material ** ! ** constants for elasticity and plasticity ** ! ********************************************** subroutine materialparam(imat,temperature, + iphase,nslip,nscrew,caratio,cubicslip,Cc, + gf,G12,v12,alphamat,burgerv, + tauc_0,rho_0,rhofor_0,rhosub_0, + slipmodel,slipparam,creepmodel,creepparam, + hardeningmodel,hardeningparam, + irradiationmodel,irradiationparam, + sintmat1,sintmat2,hintmat1,hintmat2, + backstressparam) use errors, only : error use userinputs, only : maxnslip, maxnparam implicit none ! ! material id integer, intent(in) :: imat ! ! ! current temperature in Kelvins real(8), intent(in) :: temperature ! ! phase id ! 1: BCC, 2: FCC, 3: HCP, 4: alpha-uranium integer, intent(out) :: iphase ! ! number of slip systems integer, intent(out) :: nslip ! ! number of screw systems integer, intent(out) :: nscrew ! ! c/a ratio for hcp crystals real(8), intent(out) :: caratio ! ! cubic slip for fcc superalloys integer, intent(out) :: cubicslip ! ! elastic stiffness matrix in the crystal reference frame real(8), intent(out) :: Cc(6,6) ! ! shear modulus for Taylor's dislocation law real(8), intent(out) :: G12 ! ! Poisson's ratio real(8), intent(out) :: v12 ! ! geometric factor for obstacle strength real(8), intent(out) :: gf ! ! thermal eigenstrain to model thermal expansion real(8), intent(out) :: alphamat(3,3) ! ! burgers vectors real(8), intent(out) :: burgerv(maxnslip) ! ! critical resolved shear stress of slip systems real(8), intent(out) :: tauc_0(maxnslip) ! ! initial ssd dislocation density real(8), intent(out) :: rho_0(maxnslip) ! ! initial forest dislocation density real(8), intent(out) :: rhofor_0 ! ! initial substructure dislocation density real(8), intent(out) :: rhosub_0 ! ! Slip model identifier ! 0: no slip (if only creep is considered) ! 1: sinh law ! 2: double exponent law ! 3: power law integer, intent(out) :: slipmodel ! ! Slip parameters ! Array size adjustable real(8), intent(out) :: slipparam(maxnparam) ! For sinh law (slipmodel=1) ! 1: alpha0 / constant value for alpha / [1/s] / if a non-zero value is defined, ! the alpha calculation will be ignored ! 2: beta0 / constant value for beta / [1/MPa] / if a non-zero value is defined, ! the beta calculation will be ignored ! 3: psi / fraction of mobile dislocations / [-] / alpha calculation ! 4: rhom0 / reference mobile dislocation density / [1/micrometer^2] / alpha calculation ! 5: DeltaF / activation energy for slip / [J/mol] / alpha calculation ! 6: nu0 / attempt frequency / [1/s] / alpha calculation ! 7: gamma0 / reference slip strain / [-] / beta calculation ! ! For double exponent law (slipmodel=2) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: p / inner exponent / [-] ! 3: q / outer exponent / [-] ! 4: DeltaFoct / activation energy for octahedral slip / [J/mol] ! 5: DeltaFcub / activation energy for cubic slip / [J/mol] ! ! For power law (slipmodel=3) ! 1: gammadot0 / refence slip rate / [1/s] ! 2: n / power exponent / [-] ! 3: dn/dT / temperature dependence of slip rate sensitivity / [1/K] ! ! ! Creep model identifier ! 0: no creep ! 1: exponential creep law ! Default value is set to 0 integer, intent(out) :: creepmodel ! Creep parameters ! Array size adjustable real(8), intent(out) :: creepparam(maxnparam) ! ! Hardening identifier ! 0: Hardening is off (tauc constant) ! 1: Voce type hardening ! 2: Linear hardening ! 3: Kocks-Mecking hardening ! 4: Kocks-Mecking hardening with substructure ! Default value is set to 0 integer, intent(out) :: hardeningmodel ! Hardening parameters ! Array size adjustable real(8), intent(out) :: hardeningparam(maxnparam) ! ! Irradiation identifier ! 0: Irradiaion is off ! 1: Irradiation is on ! Default value is set to 0 integer, intent(out) :: irradiationmodel ! Irradiation model parameters ! Array size adjustable real(8), intent(out) :: irradiationparam(maxnparam) ! 1: tau_s0: initial solute strength ! 2: gamma_s: saturation value of the cumulative slip ! 3: psi / fraction of mobile density for irradiated material for sinh law ! ! Interaction matrices ! Strength interaction between dislocations real(8), intent(out) :: sintmat1(maxnslip,maxnslip) ! Strength interaction dislocation loops related with irradiation real(8), intent(out) :: sintmat2(maxnslip,maxnslip) ! Latent hardening real(8), intent(out) :: hintmat1(maxnslip,maxnslip) ! Hardening interaction matrix between dislocations real(8), intent(out) :: hintmat2(maxnslip,maxnslip) ! ! Slip parameters ! Array size adjustable real(8), intent(out) :: backstressparam(maxnparam) ! ! burgers vector scalars real(8) :: burger1, burger2 ! ! elastic constants scalars real(8) :: e1, e2, e3, g13, v13 real(8) :: g23, v23, v21, v31, v32 ! ! critical resolved shear stress real(8) :: xtauc1, xtauc2, xtauc3, xtauc4, xtauc5 ! ! thermal expansion coefficients real(8) :: alpha1, alpha2, alpha3 ! ! temperature in celsius real(8) :: tcelsius ! real(8) :: C11, C12, C44, cst, C11_ ! ! local variable for identity martrix real(8) :: kdelta(maxnslip,maxnslip), q1, q2 ! integer :: i, j, k, is, js ! ! ! ! Set potentially unassigned parameters to zero ! Slip parameters slipparam = 0. ! Creep parameters creepparam = 0. ! Hardening parameters hardeningparam = 0. ! Irradiation parameters irradiationparam = 0. ! Backstress parameters backstressparam = 0. ! ! ! Interaction matrices ! Initially set all to zero sintmat1=0. sintmat2=0. hintmat1=0. hintmat2=0. ! do is = 1, maxnslip sintmat1(is,is)=1. sintmat2(is,is)=1. hintmat1(is,is)=1. hintmat2(is,is)=1. end do ! ! ! Temperature in Celcius tcelsius = temperature - 273.15 ! ! ! ! ! ! ! ! ! ! select material type select case(imat) ! ! custom material - bcc (i.e. ferrite) ! no temperature dependence case(1) ! ! Slip model ! sinh law slipmodel = 1 ! ! ! Phase id iphase = 1 ! ! This can be 12 or 24 nslip = 12 ! ! ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0. ! psi - fraction of mobile dislocations slipparam(3) = 0.727d-2 ! rhom0 - mobile dislocation density slipparam(4) = 0.035 ! DeltaF - activation energy slipparam(5) = 4.646312d-20 ! nu0 - attempt frequency slipparam(6) = 1.0d+11 ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) slipparam(7) = 0. ! Activation volume (factor of Burgers vector^3) slipparam(8) = 1. ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! Screw systems nscrew = 4 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 60. ! xtauc1 = 45. ! ! ! Burgers vectors [micrometers] burger1 = 2.48d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Example elastic modulus values ! ********************************************************** ! ! steel-ferrum ! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982 ! C11=230.1d3 ! C12=134.6d3 ! C44=116.6d3 ! ! steel-ferrite ! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies ! of the martensite lattice and mechanism of diffusionless transformation" ! page 1087 ! C11=233.5d3 ! C12=135.5d3 ! C44=118.0d3 ! ! ********************************************************** ! ! Cubic elastic constants [MPa] ! Value used for ferrite grains C11=233.5d3 C12=135.5d3 C44=118.0d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! custom material - fcc (i.e. copper) ! no temperature dependence case(2) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 3 ! ! copper ! Slip model parameters slipparam(1) = 1.0d-3 ! rate sensitivity exponent ! slipparam(2) = 83.333 slipparam(2) = 20. ! !! Inverse slip test parameters !! Slip model parameters ! slipparam(1) = 1.0d-9 !! rate sensitivity exponent ! slipparam(2) = 13. ! !! steel !! Slip model parameters ! slipparam(1) = 1.0d-3 !! rate sensitivity exponent ! slipparam(2) = 7.143 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! !! steel ! xtauc1 = 32. ! ! Copper xtauc1 = 16. ! !! Inverse slip test parameter ! xtauc1 = 32. ! ! Burgers vectors [micrometers] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! Example elastic modulus values ! ********************************************************** ! ! copper ! "Texture and Anisotropy", ! Cambridge University Press, 1998, page 300 ! C11=168.0d3 ! C12=121.4d3 ! C44=75.4d3 ! ! "The Mechanics of Crystals and Textured Polycrystals", ! Oxford University Press, 1993, page 16 ! C11=166.1d3 ! C12=199.0d3 wrong! correct value: 119.0d3 ! C44=75.6d3 ! ! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38 ! C11=168.3d3 ! C12=122.1d3 ! C44=75.7d3 ! ! aluminum ! "The Mechanics of Crystals and Textured Polycrystals", ! Oxford University Press, 1993, page 16 ! C11=107.3d3 ! C12=60.9d3 ! C44=28.3d3 ! ! H.P.R. Frederikse, "Hanbook of Chemistry and Physics" 1995, 12- 38 ! C11=106.75d3 ! C12=60.41d3 ! C44=28.34d3 ! ! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982 ! C11=106.43d3 ! C12=60.35d3 ! C44=28.21d3 ! ! steel-austenite ! S. Turteltaub and A.S.J. Suiker, "Transformation-induced plasticit in ferrous alloys", 2005 ! page 1765, Eq. (37) ! C11=268.5d3 ! C12=156.d3 ! C44=136.d3 ! ! steel ! C11=204.6d3 ! C12=137.7d3 ! C44=126.6d3 ! ! ********************************************************** ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 !! E=100 GPa and nu=0.3 ! C11 = 134.6154d3 ! C12 = 57.6923d3 ! C44 = 38.4615d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model hardeningmodel = 1 ! !! Kocks-Mecking hardening with substructure evolution !! Reference: https://doi.org/10.1016/j.actamat.2010.06.021 !! !! hardening model ! hardeningmodel = 4 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. !! q - substructure ! hardeningparam(7) = 4. !! f - substructure ! hardeningparam(8) = 20. !! ksub - substructure ! hardeningparam(9) = 0.086 ! ! !! Inverse slip test parameter ! hardeningmodel = 0 ! ! ! copper ! Hardening rate - h0 hardeningparam(1)=250. ! Saturation strength for slip - ss hardeningparam(2)=190. ! Hardening exponent - a hardeningparam(3)=2.5 ! Latent hardening coefficient - q hardeningparam(4)=1.4 ! ! !! steel !! Hardening rate - h0 ! hardeningparam(1)=217.8 !! Saturation strength for slip - ss ! hardeningparam(2)=257. !! Hardening exponent - a ! hardeningparam(3)=2.5 !! Latent hardening coefficient - q ! hardeningparam(4)=1.1 ! ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! Hardening interactions - latent hardening hintmat1 = hardeningparam(4) do k = 1, int(nslip/3.) do i = 1, 3 do j = 1, 3 hintmat1(3*(k-1)+i, 3*(k-1)+j)=1. enddo enddo enddo ! ! Backstress parameter backstressparam(1) = 0.25 ! ! custom material - hcp (i.e. zirconium) ! no temperature dependence case(3) ! ! Phase id iphase = 3 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0. ! fraction of mobile dislocations slipparam(3) = 1. ! reference mobile dislocations (1/micrometer^2) slipparam(4) = 0.01 ! activation energy for slip (J) slipparam(5) = 5.127d-20 ! attempt frequency slipparam(6) = 1.d11 ! scaling for jump distance slipparam(7) = 1. ! activation volume slipparam(8) = 20.93 ! ! ! ! Geometric factor (0.1-0.5) gf = 0.22364 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! ! number of slip systems nslip = 30 ! ! Screw systems nscrew = 9 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 10. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burger1 = 3.2d-4 burger2 = 6.0d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 98.32d3 e3 = 123.28d3 g12 = 32.01d3 v12 = 0.40 v13 = 0.24 ! ! crss [MPa] xtauc1 = 187.7 ! basal xtauc2 = 140.8 ! prismatic xtauc3 = 140.8 ! pyramidal xtauc4 = 489.8 ! pyramidal-1 xtauc5 = 2449.1 ! pyramidal-2 ! ! thermal expansion coefficients [1/K] alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g13 = e3/(1.+v13)/2. g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:30) = burger2 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc3 tauc_0(13:24) = xtauc4 tauc_0(25:30) = xtauc5 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model ! linear hardening hardeningmodel = 2 ! hardening parameter (1/micrometer^2) hardeningparam(1) = 2600. ! ! irradiation model irradiationmodel = 2 ! Irradiation parameters ! Number of different types of defects irradiationparam(1) = 3. ! Number density of defects (1/micrometer^3) irradiationparam(2:4) = 2.033d+4 ! size of defects (micrometer) irradiationparam(5:7) = 1.4d-3 ! defect vectors (crystallographic directions) irradiationparam(8:10) = (/ 4.0, 6.0, 11.0 /) ! Strength interaction matrix coefficients (two independent parameters) ! when a=0 (a: reaction segment) irradiationparam(11) = 1.25 ! when a not equals 0 irradiationparam(12) = 1.875 ! Hardening (Softening) interaction matrix coefficients (two independent parameters) ! when a=0 (a: reaction segment) irradiationparam(13) = 0.5 ! when a not equals 0 irradiationparam(14) = 0. ! ! ! ! ! ! tungsten - bcc case(4) ! ! Phase id iphase = 1 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Burgers vectors [micrometers] burger1 = 2.74d-4 ! ! Slip model parameters ! Partly available in the reference https://doi.org/10.1016/j.ijplas.2018.05.001 ! constant alpha slipparam(1) = 0. ! constant beta slipparam(2) = 0.0159 ! psi - fraction of mobile dislocations slipparam(3) = 0.727d-2 ! rhom0 - mobile dislocation density slipparam(4) = 0.035 ! DeltaF - activation energy to overcome Pierls barrier slipparam(5) = 3.524788e-20 ! nu0 - attempt frequency slipparam(6) = 1.0d11 ! gamma0 - multiplier for activation volume ! =1/sqrt(Psi) in the ref. which was =1/sqrt(1.457e-4) slipparam(7) = 0. ! AV0 slipparam(8) = 0. ! ! Geometric factor (0.1-0.5) gf = 0.1 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 4 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 360.0 ! 900 MPa in the reference ! ! elastic constants [MPa] e1 = 421d3 g12 = 164.4d3 v12 = 0.28 ! ! thermal expansion coefficients alpha1 = 9.5d-6 alpha2 = alpha1 alpha3 = 0.5895*alpha1 ! ! ! ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 2 hardeningparam(1) = 1000. ! ! irradiation model irradiationmodel = 1 ! irradiation parameters ! initial strength irradiationparam(1) = 750. ! solute strength saturation strain irradiationparam(2) = 0.025 ! factor for mobile density irradiationparam(3) = 3.457d-2 ! ! ! ! ! copper - fcc case(5) ! ! Phase id iphase = 2 ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.02 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 20.0 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! Burgers vectors [micrometers] burger1 = 2.55d-4 ! ! elastic constants [MPa] e1 = 66.69d3 v12 = 0.4189 g12 = 75.4d3 ! ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! thermal expansion coefficients alpha1 = 13.0d-6 alpha2 = alpha1 alpha3 = alpha1 ! ! burgerv(1:nslip)=burger1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! ! creep model creepmodel = 0 ! ! ! hardening model hardeningmodel = 0 ! ! ! irradiation model irradiationmodel = 0 ! ! ! ! carbide - fcc case(6) ! ! Phase id iphase = 2 ! ! Slip model ! power law slipmodel = 3 ! ! Slip model parameters ! Reference strain rate slipparam(1) = 1.0d-3 ! Rate sensitivity exponent slipparam(2) = 50 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 0 ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 2300.0 ! ! Burgers vectors [micrometers] burger1 = 3.5072d-4 ! ! elastic constants [MPa] e1 = 207.0d4 v12 = 0.28 ! ! thermal expansion coefficients alpha1 = 4.5d-6 alpha2 = alpha1 alpha3 = alpha1 ! ! ! elastic constants based on crystal symmetry e3 = e1 e2 = e1 v13 = v12 v23 = v12 g12 = e1/(2.0*(1.0+v12)) g13 = g12 g23 = g12 ! ! assign Burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! ! ! CMSX-4 - fcc + cubic case(7) ! ! Phase id iphase = 2 ! ! Slip model ! Double exponent law slipmodel = 2 ! ! Slip model parameters ! Reference strain rate slipparam(1) = 1.0d7 ! Inner exponent slipparam(2) = 0.78 ! Outer exponent slipparam(3) = 1.15 ! Activation energy for octahedral slip (J) slipparam(4) = 9.39d-19 ! Activation energy for cubic slip (J) slipparam(5) = 1.17d-18 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! Screw systems nscrew = 6 ! ! ! ! number of slip systems if (cubicslip == 0) then nslip = 12 elseif (cubicslip == 1) then nslip = 18 else call error(3) end if ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! ! crss [MPa] if (tcelsius <= 850.0) then ! temperature in celsius ! tauc_0=-0.000000001051*tcelsius**4 + + 0.000001644382*tcelsius**3 - + 0.000738679333*tcelsius**2 + 0.128385617901*tcelsius + + 446.547978926622 ! if (cubicslip == 1) then ! tauc_0(13:18)=-0.000000001077*tcelsius**4 + + 0.000001567820*tcelsius**3 - + 0.000686532147*tcelsius**2 - + 0.074981918833*tcelsius + + 571.706771689334 ! end if ! else ! tauc_0=-1.1707*tcelsius + 1478.9 ! if (cubicslip == 1) then ! tauc_0(13:18)=-0.9097*tcelsius + 1183 ! end if ! end if ! end temperature check ! ! tcelsius dependent stiffness constants [MPa] if (tcelsius <= 800.0) then ! celsius units ! c11=-40.841*tcelsius+251300 c12=-14.269*tcelsius+160965 ! else ! c11=0.111364*tcelsius**2-295.136*tcelsius+382827.0 c12=-0.000375*tcelsius**3+1.3375*tcelsius**2 - + 1537.5*tcelsius+716000 ! end if ! end temperature check ! g12=-0.00002066*tcelsius**3+0.021718*tcelsius**2 - + 38.3179*tcelsius+129864 ! e1 = (c11-c12)*(c11+2*c12)/(c11+c12) v12 = e1*c12/((c11-c12)*(c11+2*c12)) ! ! temperature dependent thermal expansion coefficient alpha1 = 9.119d-9*tcelsius +1.0975d-5 ! ! Eralp: Burgers vector was not defined for this burger1=2.56d-4 ! ! elastic constants based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! assign Burgers vector scalars burgerv(1:nslip) = burger1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 1 ! ! hardening model hardeningmodel = 0 ! ! creep parameters ! reference rate for creep (1/s) creepparam(1) = 4.0d+8 ! stress multiplier for creep (1/MPa) creepparam(2) = 3.2d-2 ! activation energy for creep (J/mol) creepparam(3) = 460000. ! reference rate for damage (1/s) creepparam(4) = 6.0d6 ! stress multiplier for damage (1/MPa) creepparam(5) = -5.0d-8 ! activation energy for damage (J/mol) creepparam(6) = 340000. ! ! irradiation model irradiationmodel = 0 ! ! ! zirconium - hcp case(8) ! ! Phase id iphase = 3 ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.1 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 9 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! ! Burgers vectors [micrometers] burger1 = 2.28d-4 burger2 = 4.242d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 289.38d3 e3 = 335.17d3 g12 = 132.80d3 g13 = 162.50d3 v12 = 0.09 v13 = 0.04 ! ! crss [MPa] xtauc1 = 15.2 ! basal xtauc2 = 67.7 ! prismatic xtauc4 = 2000.0 ! pyramidal ! ! thermal expansion coefficients [1/K] alpha1 = 9.5d-6 alpha2 = alpha1 alpha3 = 0.5895*alpha1 ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:12) = burger2 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc4 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! Material constants by Alvaro Martinez Pechero ! Berilyum - hcp case(9) ! ! Phase id iphase = 3 ! ! ! Slip model ! sinh law slipmodel = 1 ! ! Slip model parameters ! constant alpha slipparam(1) = 0.1 ! constant beta slipparam(2) = 0.1 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! ! number of slip systems nslip = 12 ! ! Screw systems nscrew = 3 ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 1. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burger1 = 2.28d-4 burger2 = 4.242d-4 ! sqrt(a^2 + c^2) ! ! ! elastic constants [MPa] e1 = 289.38d3 e3 = 335.17d3 g12 = 132.80d3 g13 = 162.50d3 v12 = 0.09 v13 = 0.04 ! ! crss [MPa] xtauc1 = 20.2 ! basal xtauc2 = 88.7 ! prismatic xtauc4 = 188. ! pyramidal ! ! thermal expansion coefficients [1/K] alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! ! elastic constants based on crystal symmetry e2 = e1 g23 = g13 v23 = v13 ! ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:12) = burger1 ! ! assign crss tauc_0(1:3) = xtauc1 tauc_0(4:6) = xtauc2 tauc_0(7:12) = xtauc4 ! ! c/a ratio caratio = 1.57 ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! ! alpha-uranium - alphauranium case(10) ! ! Phase id iphase = 4 ! ! Slip model ! power law slipmodel = 3 ! ! Slip model parameters ! reference strain rate slipparam(1) = 1.0d-3 ! rate sensitivity exponent slipparam(2) = 20. ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! number of slip systems nslip = 8 ! ! Screw systems nscrew = 0 ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 0. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! Burgers vectors [micrometers] burgerv(1:2) = 2.85d-4 burgerv(3:4) = 6.51d-4 burgerv(5:8) = 11.85d-4 ! ! constant factor tau_0^alpha for crss [MPa] ! calhoun 2013 values ! with temperature dependence as in zecevic 2016 ! added after hardening is included tauc_0(1) = 24.5 tauc_0(2) = 85.5 tauc_0(3) = 166.5 tauc_0(4) = 166.5 tauc_0(5) = 235.0 tauc_0(6) = 235.0 tauc_0(7) = 235.0 tauc_0(8) = 235.0 ! ! ! ! elastic moduli [MPa] and poissons ratios ! see prs literature review by philip earp ! short crack propagation in uranium, an anisotropic polycrystalline metal ! temperature dependence according to daniel 1971 e1 = 203665.987780 * (1.0 - 0.000935*(temperature-293.0)) e2 = 148588.410104 * (1.0 - 0.000935*(temperature-293.0)) e3 = 208768.267223 * (1.0 - 0.000935*(temperature-293.0)) v12 = 0.242363 v13 = -0.016293 v23 = 0.387816 g12 = 74349.442379 * (1.0 - 0.000935*(temperature-293.0)) g13 = 73421.439060 * (1.0 - 0.000935*(temperature-293.0)) g23 = 124378.109453 * (1.0 - 0.000935*(temperature-293.0)) ! ! define thermal expansion coefficients as a function of temperature ! lloyd, barrett, 1966 ! thermal expansion of alpha uranium ! journal of nuclear materials 18 (1966) 55-59 alpha1 = 24.22d-6 - 9.83d-9 * temperature + + 46.02d-12 * temperature * temperature alpha2 = 3.07d-6 + 3.47d-9 * temperature - + 38.45d-12 * temperature * temperature alpha3 = 8.72d-6 + 37.04d-9 * temperature + + 9.08d-12 * temperature * temperature ! ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 0 ! ! irradiation model irradiationmodel = 0 ! ! UKAEA - Vikram Phalke ! copper - fcc ! no temperature dependence case(11) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 1 ! ! copper ! Slip model parameters slipparam(1) = 2.0d-5 ! rate sensitivity exponent slipparam(2) = 1. ! ! ! Geometric factor (0.1-0.5) gf = 0.2 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 14.98 ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! ! Copper xtauc1 = 1. ! ! ! Burgers vectors [micrometers] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model hardeningmodel = 5 ! ! ! ! ! ! copper ! Hardening rate - k1 hardeningparam(1)=0.06 ! Softening rate - k2 hardeningparam(2)=35. ! Latent hardening coefficient - q1 hardeningparam(3)=1.35 ! Latent hardening coefficient - q2 hardeningparam(4)=1.2 ! ! !! hardening model ! hardeningmodel = 3 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. ! ! ! irradiation model irradiationmodel = 0 ! ! ! Define Kronecker delta kdelta = 0. do is=1,nslip kdelta(is,is)=1. end do ! q1=hardeningparam(3) q2=hardeningparam(4) hintmat1=0. ! Define the hardening interaction matrix do is=1,nslip do js=1,nslip hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js) end do end do ! ! ! ! Backstress parameter backstressparam(1) = 0. ! ! ! UKAEA - Vikram Phalke ! CuCrZr - fcc ! no temperature dependence case(12) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! power law slipmodel = 1 ! ! copper ! Slip model parameters slipparam(1) = 2.0d-5 ! rate sensitivity exponent slipparam(2) = 1. ! ! ! Geometric factor (0.1-0.5) gf = 0.2 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density [1/micrometer^2] rho_0(1:nslip) = 14.98 ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! ! CuCrZr xtauc1 = 84.6 ! ! ! Burgers vectors [micrometer] burger1 = 2.56d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model (KM with precipitates) hardeningmodel = 5 ! ! ! ! ! ! CuCrZr ! Hardening rate - k1 hardeningparam(1)=0.06 ! Softening rate - k2 hardeningparam(2)=35. ! Latent hardening coefficient - q1 hardeningparam(3)=1.35 ! Latent hardening coefficient - q2 hardeningparam(4)=1.2 ! ! Parameters related to precipitate strengthening ! Geometric/Strength factor for precipitates hardeningparam(5)=0.08 ! Number density of precipitates [1/micrometer^3] hardeningparam(6)=1.76d6 ! Particle diameter [micrometer] hardeningparam(7)=3.2d-3 ! !! hardening model ! hardeningmodel = 3 !! ! hardeningparam = 0. !! k1 - forest hardening ! hardeningparam(1) = 40.d-4 !! k2 - forest annihilation ! hardeningparam(2) = 1. ! ! ! irradiation model irradiationmodel = 0 ! ! ! Define Kronecker delta kdelta = 0. do is=1,nslip kdelta(is,is)=1. end do ! q1=hardeningparam(3) q2=hardeningparam(4) hintmat1=0. ! Define the hardening interaction matrix do is=1,nslip do js=1,nslip hintmat1(is,js) = q1 + (1.-q2)*kdelta(is,js) end do end do ! ! ! ! Backstress parameter backstressparam(1) = 0. ! ! ! EUROFER steel material model - bcc (i.e. ferrite) ! Developed by Yunzhou Bai ! case(13) ! ! Slip model ! sinh law slipmodel = 1 ! ! ! Phase id iphase = 1 ! ! This can be 12 or 24 nslip = 12 ! ! ! constant alpha slipparam(1) = 0.01 ! constant beta slipparam(2) = 0.01 ! ! Geometric factor (0.1-0.5) gf = 0.25 ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! Screw systems nscrew = 4 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density rho_0(1:nslip) = 1. ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] xtauc1 = 1. ! ! ! Burgers vectors [micrometers] burger1 = 2.48d-4 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Example elastic modulus values ! ********************************************************** ! ! steel-ferrum ! Cristian Teodosiu, "Elastic Models of crystal Defects" 1982 ! C11=230.1d3 ! C12=134.6d3 ! C44=116.6d3 ! ! steel-ferrite ! G.V. Kurdjumov, A.G. Khachaturyan, "Nature of axial ratio anomalies ! of the martensite lattice and mechanism of diffusionless transformation" ! page 1087 ! C11=233.5d3 ! C12=135.5d3 ! C44=118.0d3 ! ! ********************************************************** ! ! Cubic elastic constants [MPa] ! Value used for ferrite grains C11=233.5d3 C12=135.5d3 C44=118.0d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio=1. ! ! ! creep model creepmodel = 0 ! ! hardening model hardeningmodel = 6 ! k1 - hardening parameter hardeningparam(1) = 1.d-3 ! k2 - softening parameter hardeningparam(2) = 20. ! D - lath spacing (micrometers) hardeningparam(3) = 1. ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! ! UKAEA - Vikram Phalke ! Cu and CuCrZr - fcc ! no temperature dependence case(14) ! ! Phase id iphase = 2 ! ! ! ! Slip model ! Sinh law slipmodel = 1 ! ! copper ! Constant parameter : alpha slipparam(1) = 2.d-5 ! Constant parameter : beta slipparam(2) = 1.5 ! ! ! Geometric factor (0.1-0.5) gf = 0.05 ! ! ! cubic slip system flag ! 0: inactive / 1: active cubicslip = 0 ! ! ! This is 12 for fcc nslip = 12 ! ! Screw systems nscrew = 6 ! ! ! ! Initialize arrays burgerv = 0. tauc_0 = 0. rho_0 = 0. ! ! Initial value of SSD density [1/mili-meter^2] rho_0(1:nslip) = 0.1498e+6 ! ! ! Initial value of forest density (hardening model-4) rhofor_0 = 0. ! ! Initial value of substructure density (hardening model-4) rhosub_0 = 0. ! ! crss [MPa] ! ! CuCrZr xtauc1 = 1. ! ! ! Burgers vectors [mili-meter] burger1 = 2.56d-7 ! ! ! thermal expansion coefficients alpha1 = 0. alpha2 = 0. alpha3 = 0. ! ! ! Cubic elastic constants [MPa] ! Value used for copper C11 = 170.d3 C12 = 124.d3 C44 = 75.d3 ! ! re-calculate elastic constants e1 = (C11**2 + C11*C12 - 2.*C12**2)/(C11 + C12) v12 = C12/(C11 + C12) g12 = C44 ! ! assign the values based on crystal symmetry e2 = e1 e3 = e1 v13 = v12 v23 = v12 g13 = g12 g23 = g12 ! ! ! assign burgers vector scalars burgerv(1:nslip) = burger1 ! assign crss: same for all slip systems tauc_0(1:nslip) = xtauc1 ! ! c/a ratio for hcp crystals ! dummy output caratio = 1. ! ! creep model creepmodel = 0 ! ! ! ! hardening model (KM with precipitates) hardeningmodel = 7 ! ! ! ! ! ! CuCrZr ! Hardening rate - k1 hardeningparam(1)=12. ! Softening rate - k2 hardeningparam(2)=60. ! Parameters related to precipitate strengthening ! Geometric/Strength factor for dislocation type defect - alphan hardeningparam(3)=gf ! Number density of precipitates density [1/mili-meter^3] Pm : 1/lambda^3: lambda=19.7nm hardeningparam(4)=1.3d+5 ! alpham hardeningparam(5)=0.125 ! ! ! irradiation model irradiationmodel = 0 ! ! ! ! ! Backstress parameter backstressparam(1) = 0. ! ! ! ! case default ! call error(1) ! end select ! ! *** set up elastic stiffness matrix in lattice system *** ! http://solidmechanics.org/Text/Chapter3_2/Chapter3_2.php#Sect3_2_11 ! however, the voigt notation in abaqus for strain and stress vectors ! has the following order: ! stress = (sigma11,sigma22,sigma33,tau12 tau13 tau23) ! strain = (epsilon11,epsilon22,epsilon33,gamma12,gamma13,gamma23) ! Calculate the remaining Poisson's ratios v21 = e2/e1*v12 v31 = e3/e1*v13 v32 = e3/e2*v23 ! ! constant as a factor cst = 1./(1.-v12*v21-v23*v32-v31*v13 + -2.*v21*v32*v13) ! Cc=0. Cc(1,1) = e1*(1.-v23*v32)*cst Cc(2,2) = e2*(1.-v13*v31)*cst Cc(3,3) = e3*(1.-v12*v21)*cst Cc(1,2) = e1*(v21+v31*v23)*cst Cc(1,3) = e1*(v31+v21*v32)*cst Cc(2,3) = e2*(v32+v12*v31)*cst Cc(4,4) = g12 Cc(5,5) = g13 Cc(6,6) = g23 ! ! symmetrize compliance matrix Cc(2,1) = Cc(1,2) Cc(3,1) = Cc(1,3) Cc(3,2) = Cc(2,3) ! ! ! ! define thermal eigenstrain in the lattice system alphamat=0. alphamat(1,1) = alpha1 alphamat(2,2) = alpha2 alphamat(3,3) = alpha3 ! ! ! ! return ! end subroutine materialparam ! ! ! ! ! end module usermaterials ================================================ FILE: OXFORD-UMAT v3.3/useroutputs.f ================================================ ! Nov. 11th, 2022 ! Eralp Demir ! ! This is written to define the outputs for post-processing ! module useroutputs implicit none ! ! ! GLOBAL VARIABLES USED IN POST-PROCESSING ! ------------------------------------------------------------------------------- ! ! Flags for different outputs (22-30 custom outputs) integer, public :: statev_outputs(30) ! ! Set the desired outputs by setting 0 / 1 ! in the "defineoutputs" subroutine in the below! ! ! ! ! Number of outputs - will be computed integer, public :: nstatv_outputs ! ! ! ------------------------------------------------------------------------------- ! contains ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine defineoutputs ! use userinputs, only : maxnslip, maxnloop ! implicit none ! ! Variables used in the subroutine integer :: i, ind ! ! ! List of variables ! Set the flag to "1" if requested ! ! 1st State-variable output / number of outputs: 9 ! Crystal to Sample tranformation: statev_gmatinv statev_outputs(1) = 0 ! ! 2nd State-variable output / number of outputs: 1 ! Equivalent Von-Mises plastic total strain: statev_evmp statev_outputs(2) = 0 ! ! 3rd State-variable output / number of outputs: 1 ! Maximum ratio of rss to crss: statev_maxx statev_outputs(3) = 0 ! ! 4th State-variable output / number of outputs: 6 ! Elastic strains in the crystal frame: statev_Eec statev_outputs(4) = 0 ! ! 5th State-variable output / number of outputs: 9 ! Lattice curvature: statev_curvature statev_outputs(5) = 0 ! ! 6th State-variable output / number of outputs: 1 ! Total statistically-stored dislocation density: statev_ssdtot statev_outputs(6) = 0 ! ! 7th State-variable output / number of outputs: 1 ! Substructure dislocation density: statev_substructure statev_outputs(7) = 0 ! ! 8th State-variable output / number of outputs: 1 ! Solute strength: statev_tausolute statev_outputs(8) = 0 ! ! 9th State-variable output / number of outputs: 1 ! Cumulative slip: statev_totgammasum statev_outputs(9) = 0 ! ! 10th State-variable output / number of outputs: maxnslip ! Total slip per slip system: statev_gammasum statev_outputs(10) = 1 ! ! 11th State-variable output / number of outputs: maxnslip ! Slip rate: statev_gammadot statev_outputs(11) = 0 ! ! 12nd State-variable output / number of outputs: maxnslip ! Critical Resolved Shear Stress: statev_tauc statev_outputs(12) = 0 ! ! 13rd State-variable output / number of outputs: maxnslip ! Statistically-Stored Dislocation Density: statev_ssd statev_outputs(13) = 0 ! ! 14th State-variable output / number of outputs: maxnslip*2 ! Geometrically Necessary Dislocation Density: statev_gnd statev_outputs(14) = 0 ! ! 15th State-variable output / number of outputs: maxnslip ! Foresty Dislocation Density: statev_forest statev_outputs(15) = 0 ! ! 16th State-variable output / number of outputs: maxnloop ! Defect Loop Density: statev_loop statev_outputs(16) = 0 ! ! 17th State-variable output / number of outputs: maxnslip ! Backstress: statev_backstress statev_outputs(17) = 0 ! ! 18th State-variable output / number of outputs: 1 ! Total GND density statev_outputs(18) = 0 ! ! 19th State-variable output / number of outputs: 1 ! Plastic dissipation power density statev_outputs(19) = 0 ! ! 20st State-variable output / number of outputs: 1 ! Fatemi Socie parameter statev_outputs(20) = 0 ! ! 20st State-variable output / number of outputs: 1 ! Strain along a crystallographic plane - hkl ! hkl is defined in the assignoutputs subroutine statev_outputs(21) = 0 ! ! 22nd State-variable output / number of outputs: maxnslip ! Active slip systems statev_outputs(22) = 0 ! ! 23rd State-variable output / number of outputs: 1 ! Rotation statev_outputs(23) = 0 ! ! 24-30 custom outputs ! Need to be defined here! statev_outputs(24) = 0 statev_outputs(25) = 0 statev_outputs(26) = 0 statev_outputs(27) = 0 statev_outputs(28) = 0 statev_outputs(29) = 0 statev_outputs(30) = 0 ! ! ! ! ! ! ! ! Count the user-defined outputs nstatv_outputs=0 ! Find the total number of state variable outputs if (statev_outputs(1)==1) then nstatv_outputs=nstatv_outputs+9 endif if (statev_outputs(2)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(3)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(4)==1) then nstatv_outputs=nstatv_outputs+6 endif if (statev_outputs(5)==1) then nstatv_outputs=nstatv_outputs+9 endif if (statev_outputs(6)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(7)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(8)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(9)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(10)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(11)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(12)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(13)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(14)==1) then nstatv_outputs=nstatv_outputs+maxnslip*2 endif if (statev_outputs(15)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(16)==1) then nstatv_outputs=nstatv_outputs+maxnloop endif if (statev_outputs(17)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(18)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(19)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(20)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(21)==1) then nstatv_outputs=nstatv_outputs+1 endif if (statev_outputs(22)==1) then nstatv_outputs=nstatv_outputs+maxnslip endif if (statev_outputs(23)==1) then nstatv_outputs=nstatv_outputs+1 endif ! ! ! Custom outputs need to be filled here! ! ! ! ! ! end subroutine defineoutputs ! ! ! ! ! ******************************************************* ! * This routine writes error statements in case * ! * execution terminate or continue! * ! ******************************************************* subroutine checkoutputs(nstatv) use errors, only: error implicit none ! Number of state variables integer, intent(in) :: nstatv ! ! Check if defined correctly if (nstatv_outputs > nstatv) then write(*,*) 'There are ', + nstatv_outputs, ' number of outputs!' write(*,*) 'But, ', + nstatv, ' number of outputs were defined in DEPVAR!' ! error message in .dat file call error(6) end if ! end subroutine checkoutputs ! ! ! ! ! ! ! subroutine write_statev_legend use userinputs, only : maxnslip, maxnloop ! implicit none ! integer count, i character*2 ij ! ! Write the legend of the output variables (nstatv) ! Outputs to extract: ! 1: Transformation matrix from crystal to sample (x9) ! 2: Equivalent Von-Mises plastic strain (x1) ! 3: Maximum ratio of rss to crss (x1) ! 4: Elastic strain in crystal frame (x6) ! 5: Lattice curvature (x9) ! 6: SSD total (x1) ! 7: Substructure density (x1) ! 8: Solute strength (x1) ! 9: cumulative slip (x1) ! 10: total slip per slip system (x maxnslip) ! 11: slip rates per slip system (x maxnslip) ! 12: CRSS (x maxnslip) ! 13: SSD (x maxnslip) ! 14: GND (x maxnslip) ! 15: Forest (x maxnslip) ! 16: Loop (x maxnloop) ! 17: Backstress (x maxnslip) ! 18: GND density (x1) ! 19: Plastic dissipation power density (x1) ! 20: Fatemi Socie parameter (x1) ! 21: Lattice strain projections along hkl (x1) ! 22: Slip system activity (x maxnslip) ! 23: Rotation (x 1) ! 24-30: Custom outputs ! ! ! ! ! ! count = 0 open(100,file='../STATEV_legend.txt',action='write', + status='replace') ! ! ! ! ! ! ! ! State variable-1 if (statev_outputs(1) == 1) then ! do i = 1, 9 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'xy' case(3) ij = 'xz' case(4) ij = 'yx' case(5) ij = 'yy' case(6) ij = 'yz' case(7) ij = 'zx' case(8) ij = 'zy' case(9) ij = 'zz' ! end select ! ! ! write(100,'(A7,I3,A37,A2,A4)') + 'STATEV-', count, + ': Crystal to Sample transformation -', ij, ' [-]' ! end do ! ! endif ! ! ! ! ! State variable-2 if (statev_outputs(2) == 1) then ! ! ! count = count + 1 ! ! ! write(100,'(A7,I3,A39,A4)') + 'STATEV-', count, + ': Equivalent Von-Mises plastic strain', ' [-]' ! ! ! ! endif ! ! ! State variable-3 if (statev_outputs(3) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A32,A4)') + 'STATEV-', count, + ': Maximum ratio of rss to crss', ' [-]' ! ! ! ! endif ! ! ! ! State variable-4 if (statev_outputs(4) == 1) then ! do i = 1, 6 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'yy' case(3) ij = 'zz' case(4) ij = 'xy' case(5) ij = 'xz' case(6) ij = 'yz' ! end select ! ! ! write(100,'(A7,I3,A36,A2,A6)') + 'STATEV-', count, + ': Elastic strain in crystal frame-', ij, ' [MPa]' ! end do ! ! endif ! ! ! ! ! ! State variable-5 if (statev_outputs(5) == 1) then ! do i = 1, 9 ! count = count + 1 ! select case(i) ! case(1) ij = 'xx' case(2) ij = 'xy' case(3) ij = 'xz' case(4) ij = 'yx' case(5) ij = 'yy' case(6) ij = 'yz' case(7) ij = 'zx' case(8) ij = 'zy' case(9) ij = 'zz' ! end select ! ! ! write(100,'(A7,I3,A21,A2,A15)') + 'STATEV-', count, + ': Lattice curvature', ij, ' [1/micrometer]' ! end do ! ! endif ! ! ! ! ! ! ! ! ! ! State variable-6 if (statev_outputs(6) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A21,A17)') + 'STATEV-', count, + ': total SSD density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! ! State variable-7 if (statev_outputs(7) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A24,A17)') + 'STATEV-', count, + ': substructure density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! State variable-8 if (statev_outputs(8) == 1) then ! ! ! count = count + 1 ! ! ! write(100,'(A7,I3,A19,A6)') + 'STATEV-', count, + ': solute strength', ' [MPa]' ! ! ! ! endif ! ! ! State variable-9 if (statev_outputs(9) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A19,A4)') + 'STATEV-', count, + ': cumulative slip', ' [-]' ! ! ! ! endif ! ! ! ! ! State variable-10 if (statev_outputs(10) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A30,I2,A4)') + 'STATEV-', count, + ': Total slip on slip system-', i, ' [-]' ! end do ! ! endif ! ! ! ! ! State variable-11 if (statev_outputs(11) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A29,I2,A6)') + 'STATEV-', count, + ': Slip rate of slip system-', i, ' [1/s]' ! end do ! ! endif ! ! ! State variable-12 if (statev_outputs(12) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A24,I2,A6)') + 'STATEV-', count, + ': CRSS on slip system-', i, ' [MPa]' ! end do ! ! endif ! ! ! ! ! State variable-13 if (statev_outputs(13) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': SSD density of slip system-', i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! ! ! State variable-14 if (statev_outputs(14) == 1) then ! do i = 1, maxnslip*2 ! count = count + 1 ! ! Edge dislocation if (i <= maxnslip) then ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': Edge dislocation density-', i, ' [1/micrometer^2]' ! else ! write(100,'(A7,I3,A31,I2,A17)') + 'STATEV-', count, + ': Screw dislocation density-', i-maxnslip, ' [1/micrometer^2]' ! end if ! ! end do ! ! endif ! ! ! State variable-15 if (statev_outputs(15) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A46,I2,A17)') + 'STATEV-', count, + ': Forest dislocation density of slip system-', + i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! State variable-16 if (statev_outputs(16) == 1) then ! do i = 1, maxnloop ! count = count + 1 ! ! ! write(100,'(A7,I3,A46,I2,A17)') + 'STATEV-', count, + ': Loop dislocation density of defect system-', + i, ' [1/micrometer^2]' ! end do ! ! endif ! ! ! State variable-17 if (statev_outputs(17) == 1) then ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A30,I2,A6)') + 'STATEV-', count, + ': Backstress on slip system-', + i, ' [MPa]' ! end do ! ! endif ! ! State variable-18 if (statev_outputs(18) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A21,A17)') + 'STATEV-', count, + ': Total GND density', ' [1/micrometer^2]' ! ! ! ! endif ! ! ! State variable-19 if (statev_outputs(19) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A37,A5)') + 'STATEV-', count, + ': Plastic dissipation power density', ' [nW]' ! ! ! ! endif ! ! State variable-20 if (statev_outputs(20) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A26,A4)') + 'STATEV-', count, + ': Fatemi Socie parameter', ' [-]' ! ! ! ! endif ! ! ! State variable-21 if (statev_outputs(21) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A29,A4)') + 'STATEV-', count, + ': Lattice strains along hkl', ' [-]' ! ! ! ! endif ! ! State variable-22 if (statev_outputs(22) == 1) then ! ! ! do i = 1, maxnslip ! count = count + 1 ! ! ! write(100,'(A7,I3,A30,I2,A4)') + 'STATEV-', count, + ': Activity of slip system-', + i, ' [-]' ! end do ! ! ! ! endif ! ! ! State variable-23 if (statev_outputs(23) == 1) then ! ! ! count = count + 1 ! ! ! ! write(100,'(A7,I3,A19,A6)') + 'STATEV-', count, + ': total rotation', ' [rad]' ! ! ! ! endif ! ! close(100) ! ! ! ! ! ! return end subroutine write_statev_legend ! ! ! ! ! ! ! subroutine assignoutputs(noel,npt,nstatv,statev) use globalvariables, only: statev_gmatinv, + statev_evmp, statev_maxx, statev_Eec, + statev_curvature, statev_backstress_t, + statev_ssdtot, statev_substructure, + statev_tausolute, statev_totgammasum, + statev_gammasum, statev_gammadot, + statev_tauceff, statev_ssd, statev_loop, statev_gnd_t, + statev_forest, statev_plasdiss, statev_theta use userinputs, only: maxnslip, maxnloop use utilities, only: matvec9 use miscellaneous, only: FatemiSocieParameter, + SlipSystemActivity, ProjectLatticeStrain implicit none ! Element number integer, intent(in) :: noel ! Integration point integer, intent(in) :: npt ! Number of state variables integer, intent(in) :: nstatv ! Values of state variables real(8), intent(inout) :: statev(nstatv) ! Other variables integer :: i, j real(8) :: d6(6), d9(9), d1 real(8) :: gnd(maxnslip*2) real(8) :: eps, SSA(maxnslip) ! Outputs to extract: ! 1: Transformation matrix from crystal to sample (x9) ! 2: Equivalent Von-Mises plastic strain (x1) ! 3: Maxium ratio of rss to crss (x1) ! 4: Elastic strain in crystal frame (x6) ! 5: Lattice curvature (x9) ! 6: SSD total (x1) ! 7: Substructure density (x1) ! 8: Solute strength (x1) ! 9: Cumulative slip (x1) ! 10: Total slip per slip system (x maxnslip) ! 11: Slip rates per slip system (x maxnslip) ! 12: Effective CRSS (x maxnslip) ! 13: SSD (x maxnslip) ! 14: GND (x maxnslip) ! 15: Forest (x maxnslip) ! 16: Loop density (x maxnloop) ! 17: Backstress (x maxnslip) ! 18: Total GND density (x1) ! 19: Plastic dissipation (x1) ! 20: Fatemi Socie parameter (x1) ! 21: Lattice strain projections along hkl (x1) ! 22: Active Slip Systems (x maxnslip) ! 23: Rotation (x 1) ! 24-30: Custom outputs ! ! ! Reset the counter i=0 ! ! State variable-1 ! Transformation matrix from crystal to sample (x9) if (statev_outputs(1)==1) then ! ! ! call matvec9(statev_gmatinv(noel,npt,:,:),d9) ! do j = 1, 9 ! i = i + 1 statev(i) = d9(j) ! end do ! end if ! ! ! ! State variable-2 ! Equivalent Von-Mises plastic strain (x1) if (statev_outputs(2)==1) then ! i = i + 1 statev(i) = statev_evmp(noel,npt) ! end if ! ! ! State variable-3 ! Maxium ratio of rss to crss (x1) if (statev_outputs(3)==1) then ! i = i + 1 statev(i) = statev_maxx(noel,npt) ! end if ! ! ! State variable-4 ! Elastic strain in crystal frame (x6) if (statev_outputs(4)==1) then ! ! do j = 1, 6 i = i + 1 statev(i) = statev_Eec(noel,npt,j) end do ! ! end if ! ! ! State variable-5 ! Lattice curvature (x9) if (statev_outputs(5)==1) then ! d9 = statev_curvature(noel,npt,:) ! do j = 1, 9 ! i = i + 1 statev(i) = d9(j) ! end do ! ! end if ! ! ! State variable-6 ! SSD total (x1) if (statev_outputs(6)==1) then ! i = i + 1 statev(i) = statev_ssdtot(noel,npt) ! end if ! ! ! ! State variable-7 ! Substructure density (x1) if (statev_outputs(7)==1) then ! i = i + 1 statev(i) = statev_substructure(noel,npt) ! end if ! ! ! State variable-8 ! Solute strength (x1) if (statev_outputs(8)==1) then ! i = i + 1 statev(i) = statev_tausolute(noel,npt) ! end if ! ! ! State variable-9 ! Cumulative slip (x1) if (statev_outputs(9)==1) then ! i = i + 1 statev(i) = statev_totgammasum(noel,npt) ! end if ! ! ! State variable-10 ! Total slip per slip system (x maxnslip) if (statev_outputs(10)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_gammasum(noel,npt,j) end do ! end if ! ! ! State variable-11 ! Slip rates per slip system (x maxnslip) if (statev_outputs(11)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_gammadot(noel,npt,j) end do ! end if ! ! State variable-12 ! CRSS (x maxnslip) if (statev_outputs(12)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_tauceff(noel,npt,j) end do ! end if ! ! ! State variable-13 ! SSD (x maxnslip) if (statev_outputs(13)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_ssd(noel,npt,j) end do ! end if ! ! ! State variable-14 ! GND (x maxnslip) if (statev_outputs(14)==1) then ! do j = 1, maxnslip*2 i = i + 1 statev(i) = statev_gnd_t(noel,npt,j) end do ! end if ! ! ! State variable-15 ! Forest density (x maxnslip) if (statev_outputs(15)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_forest(noel,npt,j) end do ! end if ! ! State variable-16 ! Loop density (x maxnloop) if (statev_outputs(16)==1) then ! do j = 1, maxnloop i = i + 1 statev(i) = statev_loop(noel,npt,j) end do ! end if ! ! ! State variable-17 ! Backstress (x maxnslip) if (statev_outputs(17)==1) then ! do j = 1, maxnslip i = i + 1 statev(i) = statev_backstress_t(noel,npt,j) end do ! end if ! ! State variable-18 ! GND total (x1) if (statev_outputs(18)==1) then ! i = i + 1 gnd = statev_gnd_t(noel,npt,1:2*maxnslip) statev(i) = sqrt(sum(gnd*gnd)) ! end if ! ! State variable-19 ! Plastic dissipation power density (x1) if (statev_outputs(19)==1) then ! i = i + 1 statev(i) = statev_plasdiss(noel,npt) ! end if ! ! State variable-20 ! Fatemi Socie parameter (x1) if (statev_outputs(20)==1) then ! i = i + 1 call FatemiSocieParameter(noel,npt,d1) statev(i) = d1 ! end if ! ! State variable-21 ! Lattice strain projections along hkl (x1) if (statev_outputs(21)==1) then ! i = i + 1 call ProjectLatticeStrain(noel,npt,eps) statev(i) = eps ! end if ! ! ! State variable-22 ! Slip system activity (x maxnslip) if (statev_outputs(22)==1) then ! ! calculate the active slip systems call SlipSystemActivity(noel,npt,SSA) ! do j = 1, maxnslip i = i + 1 statev(i) = SSA(j) end do ! end if ! ! ! State variable-23 ! Rotation if (statev_outputs(23)==1) then ! i = i + 1 statev(i) = statev_theta(noel,npt) ! end if ! ! ! Custom state variables 22-30 ! Please add custom outputs here! ! ! ! ! return end subroutine assignoutputs ! ! ! ! ! ! end module useroutputs ================================================ FILE: OXFORD-UMAT v3.3/utilities.f ================================================ ! ************************************************* ! ************************************************* ! * UTILITY SUBROUTINES * ! ************************************************* ! ************************************************* ! Updated on Sept 23rd, 2022 ! Reorganized by Eralp Demir ! Converged into a module file ! Function trace is written as a subroutine ! ! module utilities implicit none contains ! ! ! ************************************************* ! * TRACE OF A 3X3 MATRIX * ! ************************************************* subroutine trace3x3(a,aii) implicit none real(8), intent(in) :: a(3,3) real(8), intent(out) :: aii ! aii = a(1,1)+a(2,2)+a(3,3) ! return end subroutine trace3x3 ! ! ! ! ************************************************* ! * TRACE OF A2X2 MATRIX * ! ************************************************* subroutine trace2x2(a,aii) implicit none real(8), intent(in) :: a(2,2) real(8), intent(out) :: aii ! aii = a(1,1)+a(2,2) ! return end subroutine trace2x2 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR * ! ************************************************* subroutine vecmat9(dvin,dmout) implicit none real(8), intent(in) :: dvin(9) real(8), intent(out) :: dmout(3,3) integer :: i ! dmout(1,1) = dvin(1) dmout(1,2) = dvin(2) dmout(1,3) = dvin(3) ! dmout(2,1) = dvin(4) dmout(2,2) = dvin(5) dmout(2,3) = dvin(6) ! dmout(3,1) = dvin(7) dmout(3,2) = dvin(8) dmout(3,3) = dvin(9) ! return end subroutine vecmat9 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 9X1 COLUMN VECTOR * ! ************************************************* subroutine matvec9(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(9) integer :: i ! dvout(1) = dmin(1,1) dvout(2) = dmin(1,2) dvout(3) = dmin(1,3) ! dvout(4) = dmin(2,1) dvout(5) = dmin(2,2) dvout(6) = dmin(2,3) ! dvout(7) = dmin(3,1) dvout(8) = dmin(3,2) dvout(9) = dmin(3,3) ! return end subroutine matvec9 ! ! ! ************************************************* ! * TRANSFER 3X3 MATRIX TO 6X1 COLUMN VECTOR * ! ************************************************* subroutine matvec6(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(6) integer :: i ! do i=1,3 dvout(i)=dmin(i,i) end do ! dvout(4) = (dmin(1,2)+dmin(2,1))/2. dvout(5) = (dmin(1,3)+dmin(3,1))/2. dvout(6) = (dmin(2,3)+dmin(3,2))/2. ! return end subroutine matvec6 ! ! ! ************************************************* ! * TRANSFER 6X1 COLUMN VECTOR TO 3X3 MATRIX * ! ************************************************* ! subroutine vecmat6(dvin,dmout) implicit none real(8), intent(in) :: dvin(6) real(8), intent(out) :: dmout(3,3) integer :: i ! do i=1,3 dmout(i,i) = dvin(i) end do ! dmout(1,2) = dvin(4) dmout(2,1) = dvin(4) dmout(1,3) = dvin(5) dmout(3,1) = dvin(5) dmout(3,2) = dvin(6) dmout(2,3) = dvin(6) ! return end subroutine vecmat6 ! ! ! ************************************************* ! * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 * ! ************************************************* subroutine vecprod(dvin1,dvin2,dvout) implicit none real(8), intent(in) :: dvin1(3), dvin2(3) real(8), intent(out) :: dvout(3) ! dvout(1)=dvin1(2)*dvin2(3)-dvin1(3)*dvin2(2) dvout(2)=dvin1(3)*dvin2(1)-dvin1(1)*dvin2(3) dvout(3)=dvin1(1)*dvin2(2)-dvin1(2)*dvin2(1) ! return end subroutine vecprod ! ! ! ************************************************* ! * DOT PRODUCT OF 3X1 WITH 3X1 GIVING 1X1 * ! ************************************************* subroutine dotprod(dvin1,dvin2,dvout) implicit none real(8), intent(in) :: dvin1(3), dvin2(3) real(8), intent(out) :: dvout(3) ! dvout = dvin1(1)*dvin2(1)+dvin1(2)*dvin2(2)+dvin1(3)*dvin2(3) dvout = abs(dvout) ! return end subroutine dotprod ! ! ! **************************************************** ! * TRANSFER GENERAL 3X3 MATRIX TO 6X1 COLUMN VECTOR * ! **************************************************** ! Off-diagonal terms are doubled! ! This is valid for shear conversion only! subroutine gmatvec6(dmin,dvout) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: dvout(6) integer :: i ! do i=1,3 dvout(i)=dmin(i,i) end do ! dvout(4) = dmin(1,2)+dmin(2,1) dvout(5) = dmin(3,1)+dmin(1,3) dvout(6) = dmin(2,3)+dmin(3,2) ! return end subroutine gmatvec6 ! ! ************************************************* ! * INVERSE OF A MATRIX WITH LAPACK * ! ************************************************* ! Checked inverse against python's numpy.linalg.inv subroutine lapinverse(xmatin,m,info,xmatout) implicit none ! integer,intent(in) :: m real(8),intent(in):: xmatin(m,m) !abaqus won't allow xmatin(:,:) ! integer,parameter :: lwork = 64 real(8),parameter :: zero=1.0d-12 integer :: i,j ! integer,intent(out) :: info real(8),intent(out) :: xmatout(m,m) integer :: ipiv(m) real(8) :: a(m,m) real(8) :: work(lwork) ! ! ! https://software.intel.com/en-us/mkl-developer-reference-fortran-getri#626EB2AE-CA6A-4233-A6FA-04F54EF7A6E6 ! ! EXTERNAL DGETRI, DGETRF ! ! ! xmatout = 0. ! ED: I have added to run this ! The next line shall be removed info=1 ! a = xmatin !don't input array xmatin ! ! call DGETRF( m, m, a, m, ipiv, info ) ! if(info == 0) then ! call DGETRI( m, a, m, ipiv, work, lwork, info ) !write(*,*) "work(1) == min lwork needed", work(1) else xmatout = 0. ! write(*,*)"dgetrf, illegal value at = ",-info,". no inverse" end if ! do i=1,m; do j=1,m; if (abs(a(i,j))<= zero) a(i,j) = 0. end do end do xmatout = a ! ! ! ! return end subroutine lapinverse ! ! ! ! ! **************************************************** ! * INVERSE OF A MATRIX WITHOUT LAPACK * ! **************************************************** ! subroutine nolapinverse(ain,c,n) ! ============================================================ ! Inverse matrix ! Method: Based on Doolittle LU factorization for Ax=b ! Alex G. December 2009 ! ----------------------------------------------------------- ! input ... ! a(n,n) - array of coefficients for matrix A ! n - dimension ! output ... ! c(n,n) - inverse matrix of A ! ! =========================================================== implicit none ! integer, intent(in) :: n real(8), intent(out) :: c(n,n) real(8), intent(in) :: ain(n,n) real(8) :: L(n,n), U(n,n), b(n), d(n), x(n) real(8) :: coeff, a(n,n) integer :: i, j, k ! ! step 0: initialization for matrices L and U and b ! Fortran 90/95 allows such operations on matrices L=0. U=0. b=0. a=ain ! ! step 1: forward elimination do k=1,n-1 do i=k+1,n coeff=a(i,k)/a(k,k) L(i,k) = coeff do j=k+1,n a(i,j) = a(i,j)-coeff*a(k,j) end do end do end do ! ! Step 2: prepare L and U matrices ! L matrix is a matrix of the elimination coefficient ! + the diagonal elements are 1.0 do i=1,n L(i,i) = 1.0 end do ! U matrix is the upper triangular part of A do j=1,n do i=1,j U(i,j) = a(i,j) end do end do ! ! Step 3: compute columns of the inverse matrix C do k=1,n b(k)=1.0 d(1) = b(1) ! Step 3a: Solve Ld=b using the forward substitution do i=2,n d(i)=b(i) do j=1,i-1 d(i) = d(i) - L(i,j)*d(j) end do end do ! Step 3b: Solve Ux=d using the back substitution x(n)=d(n)/U(n,n) do i = n-1,1,-1 x(i) = d(i) do j=n,i+1,-1 x(i)=x(i)-U(i,j)*x(j) end do x(i) = x(i)/u(i,i) end do ! Step 3c: fill the solutions x(n) into column k of C do i=1,n c(i,k) = x(i) end do b(k)=0.0 end do ! end subroutine nolapinverse ! ! ! ! ! ! ************************************************* ! * SUBROUTINE MATRIX SQUARE ROOT * ! ************************************************* ! subroutine msqrt(a,b) implicit none real(8), intent(inout) :: a(3,3) real(8), intent(out) :: b(3,3) integer :: i real(8) :: diag(3,3), q(3,3), d(3), + qtrans(3,3), res(3,3) ! ! diag=0.; b=0.; q=0.;res=0.;d=0. ! call jacobi(a,3,d,q) call eigsrt(d,q,3) ! do i=1,3 if (d(i) .ge. 0) then diag(i,i)=sqrt(d(i)) else write (6,*) 'the matrix is not positive definite' end if end do ! res = matmul(q,diag) b = matmul(res,transpose(q)) ! return end subroutine msqrt ! ! ! ! ************************************************* ! * SUBROUTINE MATRIX EIGENVALUES AND EIGENVECTORS* ! ************************************************* ! subroutine jacobi(a,n,d,v) implicit none integer, intent(in) :: n real(8), intent(inout) :: a(n,n) real(8), intent(out) :: d(n), v(n,n) ! integer, parameter :: nmax=500 integer :: i, j, ip, iq, nrot real(8) :: b(nmax), z(nmax), dial(n,n), + sm, tresh, g, h, t, theta, c, s, ta ! ! do ip=1,n do iq=1,n v(ip,iq)=0. end do v(ip,ip)=1. end do ! do ip=1,n b(ip)=a(ip,ip) d(ip)=b(ip) z(ip)=0. end do ! nrot=0 do i=1,50 sm=0. do ip=1,n-1 do iq=ip+1,n sm=sm+abs(a(ip,iq)) end do end do ! if (sm .eq. 0.) return if (i .lt. 4) then tresh=0.2*sm/n**2 else tresh=0. end if ! do ip=1,n-1 do iq=ip+1,n g=100.*abs(a(ip,iq)) if ((i .gt. 4) .and. (abs(d(ip))+g .eq. abs(d(ip))) + .and. (abs(d(ip))+g .eq. abs(d(iq)))) then a(ip,iq)=0. else if (abs(a(ip,iq)) .gt. tresh) then h=d(iq)-d(ip) if (abs(h)+g .eq. abs(h)) then t=a(ip,iq)/h else theta=0.5*h/a(ip,iq) t=1./(abs(theta)+sqrt(1.+theta**2)) if (theta .lt. 0) t=-t end if c=1./sqrt(1.+t**2) s=t*c ta=s/(1.+c) h=t*a(ip,iq) z(ip)=z(ip)-h z(iq)=z(iq)+h d(ip)=d(ip)-h d(iq)=d(iq)+h a(ip,iq)=0. ! do j=1,ip-1 g=a(j,ip) h=a(j,iq) a(j,ip)=g-s*(h+g*ta) a(j,iq)=h+s*(g-h*ta) end do ! do j=ip+1,iq-1 g=a(ip,j) h=a(j,iq) a(ip,j)=g-s*(h+g*ta) a(j,iq)=h+s*(g-h*ta) end do ! do j=iq+1,n g=a(ip,j) h=a(iq,j) a(ip,j)=g-s*(h+g*ta) a(iq,j)=h+s*(g-h*ta) end do ! do j=1,n g=v(j,ip) h=v(j,iq) v(j,ip)=g-s*(h+g*ta) v(j,iq)=h+s*(g-h*ta) end do ! nrot=nrot+1 end if end do end do ! do ip=1,n b(ip)=b(ip)+z(ip) d(ip)=b(ip) z(ip)=0. end do end do ! ! return end subroutine jacobi ! ! ! ************************************************* ! * SUBROUTINE SORT EIGENVALUES * ! ************************************************* ! subroutine eigsrt(d,v,n) implicit none integer, intent(in) :: n real(8), intent(inout) :: d(n) real(8), intent(inout) :: v(n,n) ! integer :: i, j, k real(8) :: p ! do i=1,n-1 k=i p=d(i) do j=i+1,n if(d(j).ge.p)then k=j p=d(j) endif end do if(k.ne.i)then d(k)=d(i) d(i)=p do j=1,n p=v(j,i) v(j,i)=v(j,k) v(j,k)=p end do endif end do ! return end subroutine eigsrt ! ! ! ************************************************* ! * THE DETERMINANT OF A 3X3 MATRIX * ! ************************************************* subroutine deter3x3(dmin,d) implicit none real(8), intent(in) :: dmin(3,3) real(8), intent(out) :: d ! d = 0. d = dmin(1,1)*dmin(2,2)*dmin(3,3) + + dmin(1,2)*dmin(2,3)*dmin(3,1) + + dmin(2,1)*dmin(3,2)*dmin(1,3) - + dmin(1,3)*dmin(2,2)*dmin(3,1) - + dmin(1,1)*dmin(2,3)*dmin(3,2) - + dmin(1,2)*dmin(2,1)*dmin(3,3) ! return end subroutine deter3x3 ! ! ! ************************************************* ! * THE DETERMINANT OF A 2X2 MATRIX * ! ************************************************* subroutine deter2x2(dmin,d) implicit none real(8), intent(in) :: dmin(2,2) real(8), intent(out) :: d ! d=0. d=dmin(1,1)*dmin(2,2)-dmin(1,2)*dmin(2,1) ! return end subroutine deter2x2 ! ! ************************************************* ! * Build 4th order rotation matrix (tsigma) * ! ************************************************* ! valid for rotating symmetric tensors subroutine rotord4sig(xrot,tsigma) implicit none real(8), intent(in) :: xrot(3,3) real(8), intent(out) :: tsigma(6,6) ! tsigma(1,1) = xrot(1,1)*xrot(1,1) tsigma(1,2) = xrot(1,2)*xrot(1,2) tsigma(1,3) = xrot(1,3)*xrot(1,3) tsigma(1,4) = 2.*xrot(1,1)*xrot(1,2) tsigma(1,6) = 2.*xrot(1,2)*xrot(1,3) tsigma(1,5) = 2.*xrot(1,3)*xrot(1,1) ! tsigma(2,1) = xrot(2,1)*xrot(2,1) tsigma(2,2) = xrot(2,2)*xrot(2,2) tsigma(2,3) = xrot(2,3)*xrot(2,3) tsigma(2,4) = 2.*xrot(2,1)*xrot(2,2) tsigma(2,6) = 2.*xrot(2,2)*xrot(2,3) tsigma(2,5) = 2.*xrot(2,3)*xrot(2,1) ! tsigma(3,1) = xrot(3,1)*xrot(3,1) tsigma(3,2) = xrot(3,2)*xrot(3,2) tsigma(3,3) = xrot(3,3)*xrot(3,3) tsigma(3,4) = 2.*xrot(3,1)*xrot(3,2) tsigma(3,6) = 2.*xrot(3,2)*xrot(3,3) tsigma(3,5) = 2.*xrot(3,3)*xrot(3,1) ! tsigma(4,1) = xrot(1,1)*xrot(2,1) tsigma(4,2) = xrot(1,2)*xrot(2,2) tsigma(4,3) = xrot(1,3)*xrot(2,3) tsigma(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1) tsigma(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3) tsigma(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1) ! tsigma(6,1) = xrot(2,1)*xrot(3,1) tsigma(6,2) = xrot(2,2)*xrot(3,2) tsigma(6,3) = xrot(2,3)*xrot(3,3) tsigma(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2) tsigma(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2) tsigma(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1) ! tsigma(5,1) = xrot(3,1)*xrot(1,1) tsigma(5,2) = xrot(3,2)*xrot(1,2) tsigma(5,3) = xrot(3,3)*xrot(1,3) tsigma(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2) tsigma(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3) tsigma(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3) ! return end subroutine rotord4sig ! ! ! ************************************************* ! * Build 4th order rotation matrix (tstran) * ! ************************************************* ! valid for symmetric tensors subroutine rotord4str(xrot,tstran) implicit none real(8), intent(in) :: xrot(3,3) real(8), intent(out) :: tstran(6,6) ! tstran(1,1) = xrot(1,1)*xrot(1,1) tstran(1,2) = xrot(1,2)*xrot(1,2) tstran(1,3) = xrot(1,3)*xrot(1,3) tstran(1,4) = xrot(1,1)*xrot(1,2) tstran(1,6) = xrot(1,2)*xrot(1,3) tstran(1,5) = xrot(1,3)*xrot(1,1) ! tstran(2,1) = xrot(2,1)*xrot(2,1) tstran(2,2) = xrot(2,2)*xrot(2,2) tstran(2,3) = xrot(2,3)*xrot(2,3) tstran(2,4) = xrot(2,1)*xrot(2,2) tstran(2,6) = xrot(2,2)*xrot(2,3) tstran(2,5) = xrot(2,3)*xrot(2,1) ! tstran(3,1) = xrot(3,1)*xrot(3,1) tstran(3,2) = xrot(3,2)*xrot(3,2) tstran(3,3) = xrot(3,3)*xrot(3,3) tstran(3,4) = xrot(3,1)*xrot(3,2) tstran(3,6) = xrot(3,2)*xrot(3,3) tstran(3,5) = xrot(3,3)*xrot(3,1) ! tstran(4,1) = 2.*xrot(1,1)*xrot(2,1) tstran(4,2) = 2.*xrot(1,2)*xrot(2,2) tstran(4,3) = 2.*xrot(1,3)*xrot(2,3) tstran(4,4) = xrot(1,1)*xrot(2,2) + xrot(1,2)*xrot(2,1) tstran(4,6) = xrot(1,2)*xrot(2,3) + xrot(2,2)*xrot(1,3) tstran(4,5) = xrot(1,3)*xrot(2,1) + xrot(2,3)*xrot(1,1) ! tstran(6,1) = 2.*xrot(2,1)*xrot(3,1) tstran(6,2) = 2.*xrot(2,2)*xrot(3,2) tstran(6,3) = 2.*xrot(2,3)*xrot(3,3) tstran(6,4) = xrot(2,1)*xrot(3,2) + xrot(3,1)*xrot(2,2) tstran(6,6) = xrot(2,2)*xrot(3,3) + xrot(2,3)*xrot(3,2) tstran(6,5) = xrot(2,3)*xrot(3,1) + xrot(3,3)*xrot(2,1) ! tstran(5,1) = 2.*xrot(3,1)*xrot(1,1) tstran(5,2) = 2.*xrot(3,2)*xrot(1,2) tstran(5,3) = 2.*xrot(3,3)*xrot(1,3) tstran(5,4) = xrot(3,1)*xrot(1,2) + xrot(1,1)*xrot(3,2) tstran(5,6) = xrot(3,2)*xrot(1,3) + xrot(1,2)*xrot(3,3) tstran(5,5) = xrot(3,3)*xrot(1,1) + xrot(3,1)*xrot(1,3) ! return end subroutine rotord4str ! ! ! *************************************************************** ! * Build 4th order lower (and upper) tensor product * ! * NB: When contracted from 4th to the format used for * ! * C-matrix, it turns out that the upper and lower products * ! * are the same! * ! *************************************************************** ! valid for symmetric tensors subroutine ltprod(a,b,c) implicit none real(8), intent(in) :: a(3,3), b(3,3) real(8), intent(out) :: c(6,6) integer :: i, j ! c = 0. c(1,1) = 2.*a(1,1)*b(1,1) c(1,2) = 2.*a(1,2)*b(1,2) c(1,3) = 2.*a(1,3)*b(1,3) c(1,4) = a(1,1)*b(1,2)+a(1,2)*b(1,1) c(1,5) = a(1,1)*b(1,3)+a(1,3)*b(1,1) c(1,6) = a(1,2)*b(1,3)+a(1,3)*b(1,2) ! c(2,2) = 2.*a(2,2)*b(2,2) c(2,3) = 2.*a(2,3)*b(2,3) c(2,4) = a(2,1)*b(2,2)+a(2,2)*b(2,1) c(2,5) = a(2,1)*b(2,3)+a(2,3)*b(2,1) c(2,6) = a(2,2)*b(2,3)+a(2,3)*b(2,2) ! c(3,3) = 2.*a(3,3)*b(3,3) c(3,4) = a(3,1)*b(3,2)+a(3,2)*b(3,1) c(3,5) = a(3,1)*b(3,3)+a(3,3)*b(3,1) c(3,6) = a(3,2)*b(3,3)+a(3,3)*b(3,2) ! c(4,4) = a(1,1)*b(2,2)+a(1,2)*b(2,1) c(4,5) = a(1,1)*b(2,3)+a(1,3)*b(2,1) c(4,6) = a(1,2)*b(2,3)+a(1,3)*b(2,2) ! c(5,5) = a(1,1)*b(3,3)+a(1,3)*b(3,1) c(5,6) = a(1,2)*b(3,3)+a(1,3)*b(3,2) ! c(6,6) = a(2,2)*b(3,3)+a(2,3)*b(3,2) ! do i=2,6 do j=1,i-1 c(i,j)=c(j,i) end do end do ! c = 0.5*c ! return end subroutine ltprod ! ! ! ************************************************** ! * Build 4th order tensor product (kronecker)* ! ************************************************** ! valid for symmetric tensors subroutine tprod(a,b,c) implicit none real(8), intent(in) :: a(3,3), b(3,3) real(8), intent(out) :: c(6,6) integer :: i, j ! c = 0. c(1,1) = 2.*a(1,1)*b(1,1) c(1,2) = 2.*a(1,1)*b(2,2) c(1,3) = 2.*a(1,1)*b(3,3) c(1,4) = a(1,1)*b(1,2)+a(1,1)*b(2,1) c(1,5) = a(1,1)*b(1,3)+a(1,1)*b(3,1) c(1,6) = a(1,1)*b(2,3)+a(1,1)*b(3,2) ! c(2,2) = 2.*a(2,2)*b(2,2) c(2,3) = 2.*a(2,2)*b(3,3) c(2,4) = a(2,2)*b(1,2)+a(2,2)*b(2,1) c(2,5) = a(2,2)*b(1,3)+a(2,2)*b(3,1) c(2,6) = a(2,2)*b(2,3)+a(2,2)*b(3,2) ! c(3,3) = 2.*a(3,3)*b(3,3) c(3,4) = a(3,3)*b(1,2)+a(3,3)*b(2,1) c(3,5) = a(3,3)*b(1,3)+a(3,3)*b(3,1) c(3,6) = a(3,3)*b(2,3)+a(3,3)*b(3,2) ! c(4,4) = a(1,2)*b(1,2)+a(1,2)*b(2,1) c(4,5) = a(1,2)*b(1,3)+a(1,2)*b(3,1) c(4,6) = a(1,2)*b(2,3)+a(1,2)*b(3,2) ! c(5,5) = a(1,3)*b(1,3)+a(1,3)*b(3,1) c(5,6) = a(1,3)*b(2,3)+a(1,3)*b(3,2) ! c(6,6) = a(2,3)*b(2,3)+a(2,3)*b(3,2) ! do i=2,6 do j=1,i-1 c(i,j)=c(j,i) end do end do ! c = 0.5*c ! return end subroutine tprod ! ! ! ! ************************************** ! * MULTIPLY 3x3 MATRICES * ! ************************************** subroutine mmult(dm1,dm2,dm) implicit none real(8), intent(in) :: dm1(3,3), dm2(3,3) real(8), intent(out) :: dm(3,3) integer :: i, j, k real(8) :: x ! ! do i=1,3 do j=1,3 x=0.0 do k=1,3 x=x+dm1(i,k)*dm2(k,j) end do dm(i,j)=x end do end do ! return end subroutine mmult ! ! ! This subroutine inverts a 3x3 matrix ! INPUT: Matrix --- A(3,3) ! OUTPUT: Invereted matrix, determinant --- invA(3,3),det subroutine inv3x3(A,invA,det) use globalvariables, only: smallnum implicit none real(8), intent(in) :: A(3,3) real(8), intent(out) :: invA(3,3), det integer :: i,j ! ! ! First calculate the determinant call deter3x3(A,det) ! If the determinant is greater than certain value if (abs(det) < smallnum) then invA=0.0d+0 else invA(1,1)=((A(2,2)*A(3,3))-(A(2,3)*A(3,2)))/det invA(2,1)=-((A(2,1)*A(3,3))-(A(2,3)*A(3,1)))/det invA(3,1)=((A(2,1)*A(3,2))-(A(2,2)*A(3,1)))/det invA(1,2)=-((A(1,2)*A(3,3))-(A(1,3)*A(3,2)))/det invA(2,2)=((A(1,1)*A(3,3))-(A(1,3)*A(3,1)))/det invA(3,2)=-((A(1,1)*A(3,2))-(A(1,2)*A(3,1)))/det invA(1,3)=((A(1,2)*A(2,3))-(A(1,3)*A(2,2)))/det invA(2,3)=-((A(1,1)*A(2,3))-(A(2,1)*A(1,3)))/det invA(3,3)=((A(1,1)*A(2,2))-(A(1,2)*A(2,1)))/det endif return end subroutine inv3x3 ! ! ! This subroutine inverts a 2x2 matrix ! INPUT: Matrix --- A(2,2) ! OUTPUT: Invereted matrix, determinant --- invA(2,2),det subroutine inv2x2(A,invA,det) use globalvariables, only: smallnum implicit none real(8), intent(in) :: A(2,2) real(8), intent(out) :: invA(2,2), det integer :: i,j ! ! ! First calculate the determinant call deter2x2(A,det) ! If the determinant is greater than certain value if (abs(det) < smallnum) then invA=0.0d+0 else invA(1,1) = A(2,2)/det invA(1,2) =-A(1,2)/det invA(2,1) =-A(2,1)/det invA(2,2) = A(1,1)/det endif return end subroutine inv2x2 ! ! Euler angles to crystal orientation matrix ! INPUT: Angles(deg) --- ang(3) ! OUTPUT: Orientation matrix --- R(3,3) ! USES: Number pi --- pi subroutine Euler2ori(Euler,R) use globalvariables, only : pi implicit none real(8), intent(in) :: Euler(3) real(8), intent(out) :: R(3,3) real(8) :: phi1, phi2, Phi ! ! convert to radians phi1=Euler(1)*pi/180. Phi=Euler(2)*pi/180. phi2=Euler(3)*pi/180. ! ! R=0. R(1,1)=(cos(phi1)*cos(phi2))-(sin(phi1)*sin(phi2)*cos(Phi)) R(2,1)=-(cos(phi1)*sin(phi2))-(sin(phi1)*cos(phi2)*cos(Phi)) R(3,1)=sin(phi1)*sin(Phi) R(1,2)=(sin(phi1)*cos(phi2))+(cos(phi1)*sin(phi2)*cos(Phi)) R(2,2)=-(sin(phi1)*sin(phi2))+(cos(phi1)*cos(phi2)*cos(Phi)) R(3,2)=-cos(phi1)*sin(Phi) R(1,3)=sin(phi2)*sin(Phi) R(2,3)=cos(phi2)*sin(Phi) R(3,3)=cos(Phi) ! return end subroutine Euler2ori ! ! ! Orientation matrix from Euler angles ! INPUT: Orientation matrix --- R(3) ! OUTPUT: Bunge angles(deg) --- ang(3) ! USES: Number pi --- pi subroutine ori2Euler(R,Euler) use globalvariables, only : pi implicit none real(8), intent(in) :: R(3,3) real(8), intent(out) :: Euler(3) real(8) :: phi1, phi2, Phi ! if (R(3,3).eq.1.) then Phi=0. phi1=atan2(R(1,2),R(1,1)) phi2=0. else Phi=acos(R(3,3)) phi1=atan2(R(3,1)/sin(Phi),-R(3,2)/sin(Phi)) phi2=atan2(R(1,3)/sin(Phi),R(2,3)/sin(Phi)) endif Euler(1)=phi1 Euler(2)=Phi Euler(3)=phi2 ! convert to degrees Euler=Euler*180./pi ! return end subroutine ori2Euler ! ! ! This subroutine calculates inverse of a square matrix ! by singular value decomposition subroutine SVDinverse(A,n,invA,err) use globalvariables, only: smallnum implicit none integer n real(8), intent(in) :: A(n,n) real(8), intent(out) :: invA(n,n) integer, intent(out) :: err ! local variables real(8) :: w(n), V(n,n), U(n,n) real(8) :: invS(n,n), tol integer :: i ! ! ! tolerance value tol = sqrt(smallnum) ! U = A ! Singular Value Decomposition call svdcmp(U,n,n,n,n,w,V,err) ! ! subroutine returns ! U = A ! V = V ! S(i,i) = w(i) ! ! Calculate the inverse ! A = U * S * V^T ! invA = V * inv(S) * U^T ! inv(S) is the pseudo inverse 1/w(i) ! ! If there is no error if (err==0) then ! invS = 0. do i = 1, n if (abs(w(i)) > tol) then invS(i,i) = 1. / w(i) end if end do ! Corrected by Alvaro invA = matmul(matmul(V,invS),transpose(U)) ! In case of an error else ! V = 0. invA = 0. ! ! end if ! end subroutine SVDinverse ! ! ! Generalized inverse by singular value decomposition ! Written by Alvaro Martinez 08-03-2023 ! subroutine SVDgeninverse(A,n,m,invA,err) use globalvariables, only: smallnum implicit none integer, intent(in) :: n integer, intent(in) :: m real(8), intent(in) :: A(n,m) real(8), intent(out) :: invA(m,n) integer, intent(out) :: err ! local variables real(8) :: w(m), V(m,m), U(n,m) real(8) :: invS(m,m), tol integer :: i ! ! ! tolerance value tol = sqrt(smallnum) ! U = A ! Singular Value Decomposition call svdcmp(U,n,m,n,m,w,V,err) ! subroutine returns ! U = A ! V = V ! S(i,i) = w(i) ! ! Calculate the inverse ! A = U * S * V^T ! invA = V * inv(S) * U^T ! inv(S) is the pseudo inverse 1/w(i) ! ! If there is no error if (err==0) then invS = 0. do i = 1, m if (abs(w(i)) > tol) then invS(i,i) = 1. / w(i) end if end do ! invA = matmul(matmul(V,invS),transpose(U)) ! In case of an error else ! V = 0. invA = 0. ! ! end if ! end subroutine SVDgeninverse ! ! ! ! Codes for singular value decomposition ! Numerical Recipies in F77 ! https://websites.pmc.ucsc.edu/~fnimmo/eart290c_17/NumericalRecipesinF77.pdf ! ! SVDcmp subroutine ! Given a matrix (1:m,1:n) with physical dimensions mp by np, ! this routine computes its singular value decomposition, ! A = U W VT. The matrix U replaces A on output. The diagonal ! matrix of singular values W is output as a vector w(1:n) ! The matrix V (not the transpose VT) is the output as V(1:n,1:n) ! subroutine svdcmp(A,m,n,mp,np,w,V,err) use errors, only: error implicit none integer, intent(in) :: m,mp,n,np real(8), intent(inout) :: A(mp,np) real(8), intent(out) :: V(np,np), w(np) integer, intent(out) :: err integer, parameter :: nmax=1000 ! uses pythag integer i,its,j,jj,k,l,nm real(8) anorm,c,f,g,h,s,scale,x,y,z,rv1(nmax),pyt ! initialize error flag err=0 ! g=0.0 scale=0.0 anorm=0.0 do 25 i=1,n l=i+1 rv1(i)=scale*g g=0.0 s=0.0 scale=0.0 if(i.le.m)then do 11 k=i,m scale=scale+abs(A(k,i)) 11 continue if(scale.ne.0.0)then do 12 k=i,m A(k,i)=A(k,i)/scale s=s+A(k,i)*A(k,i) 12 continue f=A(i,i) g=-sign(sqrt(s),f) h=f*g-s A(i,i)=f-g do 15 j=l,n s=0.0 do 13 k=i,m s=s+A(k,i)*A(k,j) 13 continue f=s/h do 14 k=i,m A(k,j)=A(k,j)+f*A(k,i) 14 continue 15 continue do 16 k=i,m A(k,i)=scale*A(k,i) 16 continue endif endif w(i)=scale *g g=0.0 s=0.0 scale=0.0 if((i.le.m).and.(i.ne.n))then do 17 k=l,n scale=scale+abs(A(i,k)) 17 continue if(scale.ne.0.0)then do 18 k=l,n A(i,k)=A(i,k)/scale s=s+A(i,k)*A(i,k) 18 continue f=A(i,l) g=-sign(sqrt(s),f) h=f*g-s A(i,l)=f-g do 19 k=l,n rv1(k)=A(i,k)/h 19 continue do 23 j=l,m s=0.0 do 21 k=l,n s=s+A(j,k)*A(i,k) 21 continue do 22 k=l,n A(j,k)=A(j,k)+s*rv1(k) 22 continue 23 continue do 24 k=l,n A(i,k)=scale*A(i,k) 24 continue endif endif anorm=max(anorm,(abs(w(i))+abs(rv1(i)))) 25 continue do 32 i=n,1,-1 if(i.lt.n)then if(g.ne.0.0)then do 26 j=l,n V(j,i)=(A(i,j)/A(i,l))/g 26 continue do 29 j=l,n s=0.0 do 27 k=l,n s=s+A(i,k)*V(k,j) 27 continue do 28 k=l,n V(k,j)=V(k,j)+s*V(k,i) 28 continue 29 continue endif do 31 j=l,n V(i,j)=0.0 V(j,i)=0.0 31 continue endif V(i,i)=1.0 g=rv1(i) l=i 32 continue do 39 i=min(m,n),1,-1 l=i+1 g=w(i) do 33 j=l,n A(i,j)=0.0 33 continue if(g.ne.0.0)then g=1.0/g do 36 j=l,n s=0.0 do 34 k=l,m s=s+A(k,i)*A(k,j) 34 continue f=(s/A(i,i))*g do 35 k=i,m A(k,j)=A(k,j)+f*A(k,i) 35 continue 36 continue do 37 j=i,m A(j,i)=A(j,i)*g 37 continue else do 38 j= i,m A(j,i)=0.0 38 continue endif A(i,i)=A(i,i)+1.0 39 continue do 49 k=n,1,-1 do 48 its=1,30 do 41 l=k,1,-1 nm=l-1 if((abs(rv1(l))+anorm).eq.anorm) goto 2 if((abs(w(nm))+anorm).eq.anorm) goto 1 41 continue 1 c=0.0 s=1.0 do 43 i=l,k f=s*rv1(i) rv1(i)=c*rv1(i) if((abs(f)+anorm).eq.anorm) goto 2 g=w(i) call pythag(f,g,h) w(i)=h h=1.0/h c= (g*h) s=-(f*h) do 42 j=1,m y=A(j,nm) z=A(j,i) A(j,nm)=(y*c)+(z*s) A(j,i)=-(y*s)+(z*c) 42 continue 43 continue 2 z=w(k) if(l.eq.k)then if(z.lt.0.0)then w(k)=-z do 44 j=1,n V(j,k)=-V(j,k) 44 continue endif goto 3 endif if(its.eq.30) then !pause 'no convergence in svdcmp' err=1 endif x=w(l) nm=k-1 y=w(nm) g=rv1(nm) h=rv1(k) f=((y-z)*(y+z)+(g-h)*(g+h))/(2.0*h*y) call pythag(f,1.0d+0,g) f=((x-z)*(x+z)+h*((y/(f+sign(g,f)))-h))/x c=1.0 s=1.0 do 47 j=l,nm i=j+1 g=rv1(i) y=w(i) h=s*g g=c*g call pythag(f,h,z) rv1(j)=z c=f/z s=h/z f= (x*c)+(g*s) g=-(x*s)+(g*c) h=y*s y=y*c do 45 jj=1,n x=V(jj,j) z=V(jj,i) V(jj,j)= (x*c)+(z*s) V(jj,i)=-(x*s)+(z*c) 45 continue call pythag(f,h,z) w(j)=z if(z.ne.0.0)then z=1.0/z c=f*z s=h*z endif f= (c*g)+(s*y) x=-(s*g)+(c*y) do 46 jj=1,m y=A(jj,j) z=A(jj,i) A(jj,j)= (y*c)+(z*s) A(jj,i)=-(y*s)+(z*c) 46 continue 47 continue rv1(l)=0.0 rv1(k)=f w(k)=x 48 continue 3 continue 49 continue return end subroutine svdcmp ! (C) Copr. 1986-92 Numerical Recipes Software ! ! ! ! ! ! subroutine pythag(a,b,pyt) implicit none real(8), intent(in):: a,b real(8), intent(out):: pyt real(8) absa,absb absa=abs(a) absb=abs(b) if(absa.gt.absb)then pyt=absa*sqrt(1.+(absb/absa)**2) else if(absb.eq.0.)then pyt=0. else pyt=absb*sqrt(1.+(absa/absb)**2) endif endif return end subroutine pythag ! (C) Copr. 1986-92 Numerical Recipes Software ! ! c c********1*********2*********3*********4*********5*********6*********7** c c MATPP3(G,R,S) c c positive polar decomposition of 3x3 matrix G = R * S c forcing positive orthonormal rotation matrix c c INPUTS c G = 3x3 general matrix c c OUTPUTS c R = 3x3 positive orthonormal matrix c S = 3x3 symmetric matrix c c PRECISION: single c COMMONS: none c CALLS: none c FUNCTIONS: ABS, SQRT c REFERENCE: Veldpaus, F.E., H.J. Woltring, and L.J.M.G. Dortmans, c A Least-Squares Algorithm for the Equiform c Transformation from Spatial Marker Coordinates, c J. Biomechanics, 21(1):45-54 (1988). c DATE: 10/8/92 - HJSIII c c SUBROUTINE polar(G,R,S) c use globalvariables, only: I3, smallnum implicit none c declarations REAL(8) G(3,3),R(3,3),S(3,3) REAL(8) COG(3,3),P(3,3),ADP(3,3),PBI(3,3) real(8) EPS, G1SQ, G1, G2SQ, G2, G3, H1, H2, X, Y real(8) DEN, RES1, RES2, DX, DY, BETA1, BETA2, DETPBI integer I c c constants EPS=1.0E-5 c c cofactors and determinant of g COG(1,1)=G(2,2)*G(3,3)-G(2,3)*G(3,2) COG(2,1)=G(1,3)*G(3,2)-G(1,2)*G(3,3) COG(3,1)=G(1,2)*G(2,3)-G(1,3)*G(2,2) COG(1,2)=G(2,3)*G(3,1)-G(2,1)*G(3,3) COG(2,2)=G(1,1)*G(3,3)-G(1,3)*G(3,1) COG(3,2)=G(1,3)*G(2,1)-G(1,1)*G(2,3) COG(1,3)=G(2,1)*G(3,2)-G(2,2)*G(3,1) COG(2,3)=G(1,2)*G(3,1)-G(1,1)*G(3,2) COG(3,3)=G(1,1)*G(2,2)-G(1,2)*G(2,1) G3=G(1,1)*COG(1,1)+G(2,1)*COG(2,1)+G(3,1)*COG(3,1) c c P = trans(G) * G = S * S DO 10000 I=1,3 P(I,1)=G(1,I)*G(1,1)+G(2,I)*G(2,1)+G(3,I)*G(3,1) P(I,2)=G(1,I)*G(1,2)+G(2,I)*G(2,2)+G(3,I)*G(3,2) P(I,3)=G(1,I)*G(1,3)+G(2,I)*G(2,3)+G(3,I)*G(3,3) 10000 CONTINUE c c adjoint of P ADP(1,1)=P(2,2)*P(3,3)-P(2,3)*P(3,2) ADP(2,2)=P(1,1)*P(3,3)-P(1,3)*P(3,1) ADP(3,3)=P(1,1)*P(2,2)-P(1,2)*P(2,1) c c G invariants G1SQ=P(1,1)+P(2,2)+P(3,3) G1=SQRT(G1SQ) G2SQ=ADP(1,1)+ADP(2,2)+ADP(3,3) G2=SQRT(G2SQ) c c initialize iteration H1=G2/G1SQ H2=G3*G1/G2SQ X=1.0 Y=1.0 c c iteration loop 10001 CONTINUE DEN=2.0*(X*Y-H1*H2) RES1=1.0-X*X+2.0*H1*Y RES2=1.0-Y*Y+2.0*H2*X DX=(Y*RES1+H1*RES2)/DEN DY=(H2*RES1+X*RES2)/DEN X=X+DX Y=Y+DY IF(ABS(DX/X).GT.EPS.OR.ABS(DY/Y).GT.EPS)GO TO 10001 c c BETA invariants BETA1=X*G1 BETA2=Y*G2 c c invert ( trans(G) * G + BETA2 * identity ) P(1,1)=P(1,1)+BETA2 P(2,2)=P(2,2)+BETA2 P(3,3)=P(3,3)+BETA2 PBI(1,1)=P(2,2)*P(3,3)-P(2,3)*P(3,2) PBI(1,2)=P(1,3)*P(3,2)-P(1,2)*P(3,3) PBI(1,3)=P(1,2)*P(2,3)-P(1,3)*P(2,2) PBI(2,1)=P(2,3)*P(3,1)-P(2,1)*P(3,3) PBI(2,2)=P(1,1)*P(3,3)-P(1,3)*P(3,1) PBI(2,3)=P(1,3)*P(2,1)-P(1,1)*P(2,3) PBI(3,1)=P(2,1)*P(3,2)-P(2,2)*P(3,1) PBI(3,2)=P(1,2)*P(3,1)-P(1,1)*P(3,2) PBI(3,3)=P(1,1)*P(2,2)-P(1,2)*P(2,1) DETPBI=P(1,1)*PBI(1,1)+P(2,1)*PBI(1,2)+P(3,1)*PBI(1,3) c c R = (cofac(G)+BETA1*G) * inv(trans(G)*G+BETA2*identity) DO 10002 I=1,3 R(I,1)=((COG(I,1)+BETA1*G(I,1))*PBI(1,1) 1 +(COG(I,2)+BETA1*G(I,2))*PBI(2,1) 2 +(COG(I,3)+BETA1*G(I,3))*PBI(3,1))/DETPBI R(I,2)=((COG(I,1)+BETA1*G(I,1))*PBI(1,2) 1 +(COG(I,2)+BETA1*G(I,2))*PBI(2,2) 2 +(COG(I,3)+BETA1*G(I,3))*PBI(3,2))/DETPBI R(I,3)=((COG(I,1)+BETA1*G(I,1))*PBI(1,3) 1 +(COG(I,2)+BETA1*G(I,2))*PBI(2,3) 2 +(COG(I,3)+BETA1*G(I,3))*PBI(3,3))/DETPBI 10002 CONTINUE c c S = trans(R) * G DO 10003 I=1,3 S(I,1)=R(1,I)*G(1,1)+R(2,I)*G(2,1)+R(3,I)*G(3,1) S(I,2)=R(1,I)*G(1,2)+R(2,I)*G(2,2)+R(3,I)*G(3,2) S(I,3)=R(1,I)*G(1,3)+R(2,I)*G(2,3)+R(3,I)*G(3,3) 10003 CONTINUE c c done c c done RETURN END SUBROUTINE polar c c********1*********2*********3*********4*********5*********6*********7** c c ! ! end module utilities ================================================ FILE: OXFORD-UMAT v3.3/v3.3-updates.txt ================================================ updates with respect to v2.1 - The variable "ipdomain" for IP domain size (area or volume) is added ************************************************ updates with respect to v2.2 - C3D8R element type is added (no GND calculation is possible) ************************************************ updates with respect to v2.3 - UMAT.f: The gradient calculaiton for elements with 1-int. points are eliminated from the solution - creep.f: Dp is reset to zero - globalvariables.f: nogradient flag is introduced for elements without enough number of integration points - meshprop.f: C3D6 gradient calculation is avoided - initializations.f: when using PROPS as the entry, material-ID is defined for which two different materials with the same phases can be present (noted by Guofeng) - backstress.f: local Armstrong-Frederick backstress model is added - useroutoutputs.f: backstress outputs are rearranged for per slip system outputs ************************************************ updates with respect to v2.5 - backstress.f: backstress model-2 calculation is updated to account for the sign of gammasum - userinputs.f: the values of quadprec and phi are set to zero - hardening.f: Hardening model-4 burgers vector is included as as multiplier to the substructure hardening - hardening.f: Hardening model-4 "drhosub" term added over slip systems - hardening.f: Hardening model-3 and 4 k1 term is divided by burgers vector - cpsolver.f: the sign of gammasum is preserved due to the backstress calculations - UMAT.f: if statement is added before GND calculations - BUG-FIX - backstress.f: line-88 phaseid is corrected to materialid - cpsolver.f: iterno0.99 - usermaterials.f - tungsten properties in case(4) are updated - useroutputs.f - total GND density is added as another output - materials.vox file can be optionally used for in-grain orientation scatter - the earlier change in v2.5 that is "semi-implicit state update, the hardening function is called for the updated value of states (not for *_t)" reverted back to original - cpsolver.f - line 535: NSij(i,j) changed to NSij(j,i) ************************************************ updates with respect to v2.9 - meshprop.f - C3D15 integration weights are added - meshprop.f - C3D15 ip coordinates are corrected, ordering was wrong - initializations.f - in allocation of one of the array is corrected to linc_0_all(maxnmaterial,maxnslip*2,3) - innerloop.f - line 263: a check for the slip rates becoming NaN is placed. - innerloop.f - line 173: a statement is added to end the inner loop in case of "no convergence" - several locations: hardening model of Vikram Phalke (UKAEA) is included ************************************************ updates with respect to v2.10 - hardening.f - line 434: the hardening model-5 is correct, softening effect is taken out of the loop - initializations.f - line 661/662: initial total density is corrected to have the sum over the slip systems - initializations.f - (formerly) line 1403-1418: removed, causes uneven evolution of densities - cpsolver.f - line 116/199: data statements are removed for those flags ************************************************ updates with respect to v2.11 - all data statements except slip systems are removed - cpsolver.f - various places: gammadot==inf cases are handled - element number and element type entries are avoided (automatically performed) - in the first entry - no calculations are performed, time cut-back is applied ************************************************ updates with respect to v2.12 - correction required such that gradient_initialization is done after getting the IP coordinates - 16-bit reals are avoided ************************************************ updates with respect to v2.13 - slip2screw mapping is corrected - cpsolver.f - totalandforestdensity subroutine: Screw type densities of SSD are ignored - usermaterials.f - matid=11: material properties are updated ************************************************ updates with respect to v2.14 - crss.f: Precipate hardening terms is added to UKAEA hardening model - usermaterials.f: Material number 12 is added for CuCrZr ************************************************ updates with respect to v2.15 - useroutputs.f: Effective CRSS is added as outputs, number of outputs are increased to 30 - initialization.f - lines 875-900 : effective CRSS computation is performed - cpsolver.f - lines 570-584: effective CRSS is computed initially and stored as a state variables hence calculation is voided - useroutputs.f: Failure indicators using plastic dissipated power density and Fatemi-Socie parameter are added - initialization.f - initial GND density can be used as an input state variable to the model ************************************************ updates with respect to v2.16 - crss.f: the index "is" was forgotton for calculation of tausub ************************************************ updates with respect to v2.17 - initializations.f -line 809: slip2screw matrix is assigned incorrectly. Important bug fix by C.Hardie. - crss.f - lines 333-334: effect of screw dislocations on the forest density is turned back on again after the screw mapping is fixed. ************************************************ updates with respect to v2.18 - straingradients.f - subroutine calculateBmatPINV: slip2screw mapping is used to the slip rates on the screw system ************************************************ updates with respect to v2.19 - slip.f - lines 429: an if statement for small values of slip is added for double exponent slip law ************************************************ updates with respect to v2.20 - initializations.f - line 107: The number "100" in read statement is corrected to "200". ************************************************ updates with respect to v2.21 - usermaterial.f - various: Material model for EUROFER steel is added. (case(13)) ************************************************ updates with respect to v2.22 - useroutputs.f - various: Fatemi Socie if statements are added to avoid 1/0 and 0 indexing ************************************************ updates with respect to v2.23 - initialization.f, OXFORD-UMAT.f - various: STRESS initialization added - cpsolver.f - lines 1767-1775- - various: The rotation correction to use the total spin instead of elastic spin is corrected. - cpsolver.f - line 1784: Rotation correcion is simplified. ************************************************ updates with respect to v2.24 Schmid_0 is corrected to be at the sample reference ************************************************ updates with respect to v2.25 - cpsolver.f - line 537: Schmid_0 is corrected - initialization.f - various: PROPS is corrected - usermaterials.f - lines 225-230: hardening interaction matrices are reset to identity instead of zero. ************************************************ updates with respect to v2.26 - UEXTERNALDB is separated from UMAT - Residual deformation can be read from a file ************************************************ updates with respect to v3.0 - meshprop.f - line 1998: comment out the write statement about element type, misguides the user for reduced integration elements. - globalvariables.f - line 726: typo corrected - hardening.f - line 289: Unit for Boltzmann constant corrected (by Louis and Rui) - UEXTERNALDB.f - line 326: "End Subroutine UEXTERNALDB" is added - OXFORD-UMAT.f - line 284: "End Subroutine UMAT" is added - slip.f and creep.f - various: Lp is calculated using deformed vectors (Schmid) - cpsolver.f - lines 1054-1055/1057: extra lines deleted - cpsolver.f - various: removed Lp based on undeformed vectors - cpsolver.f - lines 1723-1769: modified integration of Lp based on deformed vectors - globalvariables.f and intialization: Removed Schmidc_0_all variable - userinputs.f - line 48: redundant input for the FG scheme removed - cpsolver.f - line 642-643: thermal strains are updated using the initial orientation matrix not the deformed - hardening.f, usermaterials.f, crss.f - various: Vikram Phalke new precipitate hardening model - useroutputs.f - various: Lattice strain projects along a user-defined crytallographic plane ************************************************ updates with respect to v3.1 - OXFORD-UMAT.f - lines 250-261: 2D plane stress conversion is corrected! - miscellaneous.f: this module is added for various functions used - miscellaneous.f: findneighbours subroutine is added to find the points in the vicinity of each material point, radius is defined in "userinputs.f" - useroutputs.f: outputs for "slip system activity" and "scalar rotation" are added. - utilities.f: polar decomposition method is added - cpsolver.f - lines 1853-1864: rotation update of the corotational stress is cancelled because UMAT is already accounting for that. - cpsolver.f - line 794 and line 1508: backstress is subtracted to find the trial stress (correction from Louis96108). ************************************************ updates with respect to v3.2 - UEXTERNALDB.f: find neighbours of each IP if defined in userinputs.f by setting the flag "neighbourhood=1" ================================================ FILE: README.md ================================================ # CrystalPlasticity CP UMAT and CZM UEL for Abaqus full details in: https://doi.org/10.1016/j.ijsolstr.2024.113110 The latest version of single crystal solver Inputs (PROPS) PROPS(1): phi1 - 1st Bunge angle PROPS(2): PHI - 2nd Bunge angle PROPS(3): phi2 - 3rd Bunge angle PROPS(4): grain-ID PROPS(5): material-ID PROPS(6): "0" for using usermaterials.f / "1" for manual entry to PROPS The user entries are given in userinputs.f / useroutputs.f / usermaterial.f files Video Tutorials 1. Single crystal uniaxial test: https://youtu.be/T1bCw61qMLw 2. Dream3D2Abaqus polycrytal plasticity: https://youtu.be/s0r0Tgjc7Io 3.a. Neper polycrystal mesh generation: https://youtu.be/zAH1m9wIT_4 3.b. Neper2Abaqus polycrystal plasticity: https://youtu.be/FfixSufVZ30 References for the solver: https://doi.org/10.1016/j.ijplas.2006.10.013 https://doi.org/10.1016/j.ijmecsci.2009.03.005 https://doi.org/10.1016/j.ijplas.2023.103773 References for the GND calculation: https://doi.org/10.1016/j.ijplas.2018.05.001 https://doi.org/10.1016/j.ijplas.2024.104013 ================================================ FILE: old version/NickelSuperalloy.f ================================================ C Christos Skamniotis C University of Oxford C December 2021 C C Simplified Double exponent slip rule and empirical creep law for tertiary creep: subroutine NickelSuperalloy(xNorm,xDir,tau,signtau,tauc, + burgerv,dtime,nSys,iphase,CurrentTemperature,Lp, + tmat,gammaDot, cubicslip,creep, usvars, nsvars) implicit none ! number of slip system integer, intent(in):: nSys ! activation flag for cubic slip (additional 6 systems activated when loading is along 111) INTEGER,intent(in) :: cubicslip ! activation flag for tertiary creep INTEGER,intent(in) :: creep ! phase integer, intent(in):: iphase ! number of Abaqus state variables INTEGER,intent(in) :: nsvars ! slip directions and normals real*8, intent(in) :: xNorm(nSys,3),xDir(nSys,3) ! resolved shear stress and critical resolved shear stress ! and sign of the resolved shear stress ! tauc is positive by definition real*8, intent(in) :: tau(nSys), tauc(nSys), signtau(nSys) ! Burgers vectors real*8, intent(in) :: burgerv(nSys) ! time step real*8, intent(in) :: dtime ! Temperature in Kelvin real*8, intent(in) :: CurrentTemperature ! Abaqus state variables REAL*8,intent(in) :: usvars(nsvars) ! plastic velocity gradient real*8, intent(out) :: Lp(3,3) ! and its derivative with respect to the stress real*8, intent(out) :: tmat(6,6) ! plastic strain rate on each slip system real*8, intent(out) :: gammaDot(nSys) ! Boltzmann constant (J/K) real*8, parameter :: kB = 1.38e-23 ! Gas constant (J*mol/K) real*8, parameter :: R = 8.314462 ****************************************** ** The following parameters must be set ** c *** RATE DEPENDENT PLASTICITY (thermally activated glide) ! Activation energy for octahedral slip (J) real*8, parameter :: Foctahedral = 9.39e-19 ! Activation energy for cubic slip (J) real*8, parameter :: Fcubic = 1.17e-18 ! reference strain rate (1/s) real*8, parameter :: gammadot0 = 1.0e7 ! real 1.0e-7 ! rate sensitivity exponents real*8, parameter :: p = 0.78 ! real 0.78 real*8, parameter :: q = 1.15 ! real 1.15 c *** TERTIARY CREEP (dislocation climb & damage) !!!! Initial creep rate constants ! Activation energy for creep (J/mol) real*8, parameter :: Qo = 460000.0 ! reference rate (1/s) real*8, parameter :: ao = 4.0e8 ! stress multiplier (1/MPa) real*8, parameter :: bo = 3.2e-2 !!!! Climb/damage constants ! Activation energy for damage (J/mol) real*8, parameter :: QD = 340000.0 ! reference rate (1/s) real*8, parameter :: aD = 6000000.0 ! stress multiplier (1/MPa) real*8, parameter :: bD = -5.0e-08 !!!! Rafting C real*8, parameter :: SS = 100 C real*8, parameter :: TT = 1000 C real*8, parameter :: QQ = 20000 C real*8, parameter :: m = -3 ** End of parameters to set ** ****************************************** ! slip system index integer :: i ! Schmid tensor and its transpose real*8 :: SNij(3,3), NSij(3,3) ! Schmid tensor and its transpose in Voigt notation real*8 :: sni(6), nsi(6) ! higher order Schmid tensor in Voigt notation real*8 :: SNNS(6,6) ! temporary slip normal and slip direction real*8 :: tempNorm(3), tempDir(3) ! temporary variable to calculate the Jacobian real*8 :: result1 ! Jacobian real*8 :: result4(6,6) ! activation energy real*8 :: dF ! RSS/CRSS ratio real*8 :: tau_ratio C C C *** CALCULATE LP AND THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH C RESPECT TO THE STRESS DEFINED AS tmat*** C C tmat = 0.0 Lp = 0.0 result4 = 0.0 ! contribution to Lp of all slip systems do i=1,nSys tau_ratio=tau(i)/tauc(i) if (tau_ratio >= 0.0) then if (tau_ratio >= 1.0) then ! avoid negative values before elevating to power q gammaDot(i) = signtau(i)*gammadot0 !*exp(-dF/(kB*CurrentTemperature)) else ! standard case dF=Foctahedral if (i .gt. 12) then dF=Fcubic end if ! strain rate due to thermally activated glide (rate dependent plasticity) gammaDot(i) = signtau(i)*gammadot0* + exp(-(dF/(kB*CurrentTemperature))*(1- tau_ratio**p)**q) end if ! add tertiary creep strain rate if (creep == 1) then gammaDot(i) = gammaDot(i) + + signtau(i)*ao*exp(bo*tau(i) - + Qo/(R*CurrentTemperature)) + + signtau(i)*abs(usvars(89+i))*aD*exp(bD*tau(i) - + QD/(R*CurrentTemperature)) end if tempNorm = xNorm(i,:) tempDir = xDir(i,:) SNij = spread(tempDir,2,3)*spread(tempNorm,1,3) NSij = spread(tempNorm,2,3)*spread(tempDir,1,3) call KGMATVEC6(SNij,sni) call KGMATVEC6(NSij,nsi) SNNS = spread(sni,2,6)*spread(nsi,1,6) ! calculate derivative d ( gammaDot(i) ) / d ( tau(i) ) result1 = abs(gammaDot(i)) result1 = result1 * dF/(kB*CurrentTemperature) result1 = result1 * q result1 = result1 * (1- tau_ratio**p)**(q-1.0) result1 = result1 * p result1 = result1 / tauc(i) result1 = result1 * tau_ratio**(p-1.0) if (creep == 1) then result1 = result1 + ao*bo* + exp(bo*tau(i)-Qo/(R*CurrentTemperature)) + + abs(usvars(89+i))*aD*bD* + exp(bD*tau(i)-QD/(R*CurrentTemperature)) end if ! contribution to Jacobian result4 = result4 + dtime*result1*SNNS ! plastic velocity gradient contribution Lp = Lp + gammaDot(i)*SNij else gammaDot(i) = 0.0 end if end do tmat = 0.5*(result4+transpose(result4)) return end ================================================ FILE: old version/README.md ================================================ UMAT for Abaqus written by Nicolò Grilli and Ed Tarleton based on UEL by Fionn Dunne. Grilli, N., Tarleton, E. & Cocks, A.C.F. Coupling a discrete twin model with cohesive elements to understand twin-induced fracture. Int J Fract 227, 173–192 (2021). https://doi.org/10.1007/s10704-020-00504-9 # Usage instructions: define a user material in Abaqus with 125 state dependent variables (SDV) 11 material constants The first constant indicates the crystal type: 0 = HCP 1 = BCC 2 = BCC 3 = Carbide 4 = Olivine 5 = Orthorombic The constants 2-10 contains the components of the rotation matrix that transforms a vector from the crystal reference frame to the sample (Abaqus) reference frame The order of the components in the input file must be R11, R12, R13, R21, R22, R23, R31, R32, R33 The 11th constant is the grain index different for different grains Therefore a polycrystal should be made with different materials in abaqus The parameters that must be set are in the variable declaration part of the following files: umat.for kmat.f kMaterialParam.f The total number of bulk elements and cohesive interface elements must be set in: mycommon.f If the twins are activates, it is necessary to set the number of neighbouring points (NUpDown) in mycommon.f and then set ArrayNUpDown as the product: NUpDown * nElements * nintpts A preliminary simulation must be run, if the number of neighbouring points is not high enough for the specific mesh, warning will be given in the .log file The last warning line will contain the number that must be assigned to NUpDown IMPORTANT: when using discrete twin model be sure no more such warnings are present in the .log for reliable simulation results kMaterialParam.f includes the elastic and plastic parameters for different materials. If a new material is needed, new parameters and material name must be introduced in this file kRhoTwinInit.f is preset, but can be modified if it is necessary to introduce a specific initial value (for instance space dependent) of the dislocation density or twin phase field ================================================ FILE: old version/SMAAspUserArrays.hdr ================================================ !============================================================================= ! COPYRIGHT DASSAULT SYSTEMES 2001-2013 ! ! @CAA2Level L0 ! @CAA2Usage U0 ! !============================================================================= C C Fortran interface to Global Allocatable Arrays for use in Parallel User Subroutines C C Arguments: C ID -- arbitrary integer chosen by the user, used to locate the same array C from any user subroutine. Max value for an ID is INT_MAX ( 2,147,483,647 ). C SIZE -- max value for size is INT_MAX ( 2,147,483,647 ) C INITVAL -- initial value to initialize the arrays with C Note: C FloatArrays can be used to store both SINGLE and DOUBLE PRECISION values INTERFACE FUNCTION SMAIntArrayCreate( ID, SIZE, INITVAL ) ! -- Create an array or resize it INTEGER(KIND=8) :: SMAIntArrayCreate ! returns a pointer to the newly allocated array INTEGER(KIND=4) :: ID ! Arbitrary integer chosen by the user, used later to locate this array INTEGER(KIND=4) :: SIZE ! max value is INT_MAX ( 2,147,483,647 ) INTEGER(KIND=4) :: INITVAL ! initial value to initialize each value in the array with END FUNCTION SMAIntArrayCreate FUNCTION SMAIntArrayAccess(ID) ! -- Access an array INTEGER(KIND=8) :: SMAIntArrayAccess ! -- Returns an address that can be associated with a Fortran pointer INTEGER(KIND=4) :: ID ! Array ID END FUNCTION SMAIntArrayAccess FUNCTION SMAIntArraySize(ID) ! -- Return the current size of the array as the number of integers INTEGER(KIND=8) :: SMAIntArraySize INTEGER(KIND=4) :: ID ! Array ID END FUNCTION SMAIntArraySize SUBROUTINE SMAIntArrayDelete(ID) ! -- Delete an array with the given ID INTEGER(KIND=4) :: ID ! Array ID END SUBROUTINE SMAIntArrayDelete FUNCTION SMAFloatArrayAccess( ID ) ! -- Get an address that can be associated with a Fortran pointer INTEGER(KIND=8) :: SMAFloatArrayAccess ! -- Returns an address that can be associated with a Fortran pointer INTEGER(KIND=4) :: ID ! Array ID END FUNCTION SMAFloatArrayAccess FUNCTION SMAFloatArraySize( ID ) ! -- Return the current size of the array as the number of floats INTEGER(KIND=8) :: SMAFloatArraySize INTEGER(KIND=4) :: ID ! Array ID END FUNCTION SMAFloatArraySize SUBROUTINE SMAFloatArrayDelete( ID ) INTEGER(KIND=4) :: ID ! Array ID END SUBROUTINE SMAFloatArrayDelete END INTERFACE INTERFACE SMAFloatArrayCreate INTEGER*8 FUNCTION SMAFloatArrayCreateSP( ID, SIZE, INITVAL ) ! returns a pointer to the newly allocated array INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 ) REAL(KIND=4), INTENT(IN) :: INITVAL ! initial value for each element of the array (SINGLE PRECISION) END FUNCTION INTEGER*8 FUNCTION SMAFloatArrayCreateDP( ID, SIZE, INITVAL ) ! returns a pointer to the newly allocated array INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 ) REAL(KIND=8), INTENT(IN) :: INITVAL ! initial value for each element of the array (DOUBLE PRECISION) END FUNCTION FUNCTION SMAFloatArrayCreateNoInit( ID, SIZE ) RESULT (PTR) INTEGER(KIND=8) :: PTR ! Returns a pointer to the newly allocated array INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 ) END FUNCTION END INTERFACE SMAFloatArrayCreate !--------------------------------------------------------------------------------------------------------- ! Real Arrays -- Allocatable arrays of 'Real'. This type switches its precision along with Explicit. ! Real is 32-bits long in single precision Explict, and 64-bits long in double precision. !--------------------------------------------------------------------------------------------------------- ! Usage: ! pointer(ptrra,ra) ! note: type of 'ra' should be implicit, not declared ! ! ptrra = SMARealArrayCreate(ID, SIZE) ! prtra = SMARealArrayCreate(ID, SIZE, INITVAL) !--------------------------------------------------------------------------------------------------------- INTERFACE SMARealArrayCreate FUNCTION SMARealArrayCreateSP( ID, SIZE, INITVAL ) RESULT (PTR) INTEGER(KIND=8) :: PTR ! Returns a pointer to the newly allocated array INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 ) REAL(KIND=4), INTENT(IN) :: INITVAL ! (optional) initial value for each element of the array END FUNCTION SMARealArrayCreateSP FUNCTION SMARealArrayCreateDP( ID, SIZE, INITVAL ) RESULT (PTR) INTEGER(KIND=8) :: PTR ! Returns a pointer to the newly allocated array INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 ) REAL(KIND=8), INTENT(IN) :: INITVAL ! (optional) initial value for each element of the array END FUNCTION SMARealArrayCreateDP FUNCTION SMARealArrayCreateNoInit( ID, SIZE ) RESULT (PTR) INTEGER(KIND=8) :: PTR ! Returns a pointer to the newly allocated array INTEGER(KIND=4),INTENT(IN) :: ID ! Arbitrary integer chosen by the user, used later to locate this array INTEGER(KIND=4),INTENT(IN) :: SIZE ! max value is INT_MAX ( 2,147,483,647 ) END FUNCTION SMARealArrayCreateNoInit END INTERFACE INTERFACE FUNCTION SMARealArrayAccess( ID ) RESULT( PTR ) INTEGER(KIND=8) :: PTR ! -- Returns an address that can be associated with a Fortran pointer INTEGER(KIND=4) :: ID ! Array ID END FUNCTION SMARealArrayAccess FUNCTION SMARealArraySize( ID ) ! -- Return the current size of the array as the number of floats INTEGER(KIND=8) :: SMARealArraySize INTEGER(KIND=4) :: ID ! Array ID END FUNCTION SMARealArraySize SUBROUTINE SMARealArrayDelete( ID ) INTEGER(KIND=4) :: ID ! Array ID END SUBROUTINE SMARealArrayDelete END INTERFACE !-------------------------------------------------------------------------------------------------------- ! ! Struct Arrays -- Allocatable arrays of Fortran or C/C++ Structs ( user defined types ) ! !-------------------------------------------------------------------------------------------------------- INTERFACE SMAStructArrayCreate ! -- Creates an array with a given ID, length = NUM_ITEMS; no initialization integer*8 FUNCTION SMAStructArrayCreateNoInit(ARRAY_ID, NUM_ITEMS, ITEM_SIZE) INTEGER(KIND=4),INTENT(IN) :: ARRAY_ID ! arbitrary ID chosen by the user INTEGER(KIND=4),INTENT(IN) :: NUM_ITEMS ! max value is INT_MAX ( 2,147,483,647 ) INTEGER(KIND=8),INTENT(IN) :: ITEM_SIZE ! size of one struct in bytes as returned by SIZEOF() END FUNCTION SMAStructArrayCreateNoInit ! -- Creates an array with a given ID and SIZE; each slot initialized to INITVAL integer*8 FUNCTION SMAStructArrayCreateInit(ARRAY_ID,NUM_ITEMS,ITEM_SIZE,INITVAL) INTEGER(KIND=4),INTENT(IN) :: ARRAY_ID ! arbitrary ID chosen by the user INTEGER(KIND=4),INTENT(IN) :: NUM_ITEMS ! max value is INT_MAX ( 2,147,483,647 ) INTEGER(KIND=8),INTENT(IN) :: ITEM_SIZE ! size of one struct in bytes as returned by SIZEOF() CLASS(*),INTENT(IN) :: INITVAL ! a struct used as initializer for each slot of the array END FUNCTION SMAStructArrayCreateInit END INTERFACE SMAStructArrayCreate INTERFACE ! -- Return the size of the array as the number of structs (a 64-bit integer) FUNCTION SMAStructArraySize(ID) INTEGER(KIND=8) :: SMAStructArraySize INTEGER(KIND=4) :: ID ! Array ID END FUNCTION SMAStructArraySize ! -- Delete the array with the given ID SUBROUTINE SMAStructArrayDelete(ID) INTEGER(KIND=4) :: ID ! Array ID END SUBROUTINE SMAStructArrayDelete ! -- Access an array: return a pointer which can be associated with native array in Fortran ! If an attempt is made to access an array which does not exist (has not been created, or has been deleted). ! it will return 0. FUNCTION SMAStructArrayAccess(ID) INTEGER(KIND=8) :: SMAStructArrayAccess ! -- Returns an address that can be associated with a Fortran pointer INTEGER(KIND=4) :: ID ! Array ID END FUNCTION SMAStructArrayAccess END INTERFACE C C Fortran interfaces to Allocatable Thread-Local Arrays for use in User Subroutines C C Arguments: C ID -- arbitrary integer chosen by the user, used to locate/reference the same array C from any other user subroutine. C SIZE -- max value is INT_MAX ( 2,147,483,647 ) C INITVAL -- (optional) initial value to initialize the arrays with. If not supplied C integer arrays will be initialized with INT_MAX, float arrays -- with NANS. C Note: C FloatArrays can be used to store both SINGLE and DOUBLE PRECISION values INTERFACE SMALocalIntArrayCreate ! -- Creates an array with a given ID and SIZE; initialized to supplied INITVAL integer*8 FUNCTION SMALocalIntArrayCreateInit(ID,SIZE,INITVAL) INTEGER(KIND=4),INTENT(IN) :: ID INTEGER(KIND=4),INTENT(IN) :: SIZE INTEGER(KIND=4),INTENT(IN) :: INITVAL END FUNCTION SMALocalIntArrayCreateInit ! -- Creates an array with a given ID and SIZE; initialized implicitly to INT_MAX integer*8 FUNCTION SMALocalIntArrayCreateNoInit(ID,SIZE) INTEGER(KIND=4),INTENT(IN) :: ID INTEGER(KIND=4),INTENT(IN) :: SIZE END FUNCTION SMALocalIntArrayCreateNoInit END INTERFACE SMALocalIntArrayCreate INTERFACE SMALocalIntArrayAccess ! -- Return an address that can be associated with a Fortran pointer integer*8 FUNCTION SMALocalIntArrayAccess(ID) INTEGER(KIND=4),INTENT(IN) :: ID END FUNCTION SMALocalIntArrayAccess END INTERFACE SMALocalIntArrayAccess INTERFACE SMALocalIntArraySize ! -- Return the current size of the array as the number of integers integer*4 FUNCTION SMALocalIntArraySize(ID) INTEGER(KIND=4),INTENT(IN) :: ID END FUNCTION SMALocalIntArraySize END INTERFACE SMALocalIntArraySize INTERFACE SMALocalFloatArrayCreate ! -- Creates an array with a given ID and SIZE FUNCTION SMALocalFloatArrayCreateNoInit(ID,SIZE) INTEGER(KIND=8) :: SMALocalFloatArrayCreateNoInit ! returns a pointer to the newly allocated array INTEGER(KIND=4),INTENT(IN) :: ID ! arbitrary number chosen by the user INTEGER(KIND=4),INTENT(IN) :: SIZE END FUNCTION SMALocalFloatArrayCreateNoInit ! -- Creates an array with a given ID and SIZE; each slot initialized to SINGLE-PRECISION INITVAL FUNCTION SMALocalFloatArrayCreateSP(ID,SIZE,INITVAL) INTEGER(KIND=8) :: SMALocalFloatArrayCreateSP ! returns a pointer to the newly allocated array INTEGER(KIND=4),INTENT(IN) :: ID ! arbitrary number chosen by the user INTEGER(KIND=4),INTENT(IN) :: SIZE REAL (KIND=4),INTENT(IN) :: INITVAL ! initial value for each element of the array (SINGLE PRECISION) END FUNCTION SMALocalFloatArrayCreateSP ! -- Creates an array with a given ID and SIZE; each slot initialized to DOUBLE-PRECISION INITVAL FUNCTION SMALocalFloatArrayCreateDP(ID,SIZE,INITVAL) INTEGER(KIND=8) :: SMALocalFloatArrayCreateDP ! returns a pointer to the newly allocated array INTEGER(KIND=4),INTENT(IN) :: ID ! arbitrary number chosen by the user INTEGER(KIND=4),INTENT(IN) :: SIZE REAL (KIND=8),INTENT(IN) :: INITVAL ! initial value for each element of the array (DOUBLE PRECISION) END FUNCTION SMALocalFloatArrayCreateDP END INTERFACE SMALocalFloatArrayCreate INTERFACE ! -- Get an address of the array that can be associated with a Fortran pointer integer*8 FUNCTION SMALocalFloatArrayAccess(ID) INTEGER(KIND=4),INTENT(IN) :: ID END FUNCTION SMALocalFloatArrayAccess ! -- Return the current size of the array as the number of floats integer*4 FUNCTION SMALocalFloatArraySize(ID) INTEGER(KIND=4),INTENT(IN) :: ID END FUNCTION SMALocalFloatArraySize ! -- Delete the array with the given ID SUBROUTINE SMALocalIntArrayDelete(ID) INTEGER, INTENT(IN) :: ID END SUBROUTINE SMALocalIntArrayDelete ! -- Delete the array with the given ID SUBROUTINE SMALocalFloatArrayDelete(ID) INTEGER, INTENT(IN) :: ID END SUBROUTINE SMALocalFloatArrayDelete END INTERFACE ================================================ FILE: old version/SMAAspUserSubroutines.hdr ================================================ !============================================================================= ! COPYRIGHT DASSAULT SYSTEMES 2001-2013 ! ! @CAA2Level L0 ! @CAA2Usage U0 ! !============================================================================= #include #include ================================================ FILE: old version/SMAAspUserUtilities.hdr ================================================ !============================================================================= ! COPYRIGHT DASSAULT SYSTEMES 2001-2013 ! ! @CAA2Level L0 ! @CAA2Usage U0 ! !============================================================================= C C Fortran interface to utilities used in Parallel User Subroutines C INTERFACE ! Function to find out the number of threads in ABAQUS FUNCTION GETNUMTHREADS ( ) RESULT( numThreads ) INTEGER(KIND=4) :: numThreads END FUNCTION GETNUMTHREADS ! Get ID of the current thread ( an ABAQUS assigned integer ) FUNCTION get_thread_id ( ) RESULT ( threadID ) INTEGER(KIND=4) :: threadID END FUNCTION get_thread_id ! Get ABAQUS MPI communicator or 0 if not in MPI mode FUNCTION GETCOMMUNICATOR ( ) RESULT ( communicator ) INTEGER(KIND=4) :: communicator END FUNCTION GETCOMMUNICATOR ! Initialize Mutex -- Typically, this is done at the ! beginning of the analysis in UXTERNALDB/VEXTERNALDB SUBROUTINE MutexInit ( ID ) INTEGER(KIND=4) :: ID END SUBROUTINE MutexInit ! Lock Mutex -- can be called anywhere after initialization SUBROUTINE MutexLock ( ID ) INTEGER(KIND=4) :: ID END SUBROUTINE MutexLock ! Unlock Mutex -- can be called anywhere after initialization SUBROUTINE MutexUnlock ( ID ) INTEGER(KIND=4) :: ID END SUBROUTINE MutexUnlock END INTERFACE ================================================ FILE: old version/UEL.for ================================================ c 3D UEL for ABAQUS Code (Compatible with 8 node Brick Elements) c By: Daniel Spring c October 3rd, 2012 c c References c 1) Seong Hyeok Song "Fracture of Asphalt Concrete: A Cohesive c Zone Modeling Approach Considering Viscoelastic Effects." PhD Thesis, c Department of Civil and Environmental Engineering, UIUC, 2006. c c 2) Kyoungsoo Park. "Concrete Fracture Mechanics and Size Effect Using c a Specialized Cohesive Zone Model" MS Thesis, Department of Civil and c Environmental Engineering, UIUC, 2005. c c 3) "Cohesive fracture model for functionally graded fiber reinforced c concrete" K. Park, G.H. Paulino, J. Roesler. Cement and Concrete c Research. Vol 40, No. 6, pp. 956-965, 2010. c c 4) "A growing library of three-dimensional cohesive elements for c use in ABAQUS" D. W. Spring, G. H. Paulino. Engineering Fracture c Mechanics. Volume 126, August 2014, Pages 190-216 c c Bilinear force-separation law included c Nicolo Grilli c University of Oxford c 7 Luglio 2020 c c The damage affects the stiffness tensor c so that damaged stiffness is (1-D)K c Introducing the off-diagonal Jacobian terms Dnt c damage in shear included c using the effetive displacement variable delta c in Ortiz, Pandolfi, 1999 c c ===================================================================== SUBROUTINE UEL (RHS, AMATRX, SVARS, ENERGY, NDOFEL, NRHS, NSVARS, 1 PROPS, NPROPS, COORDS, MCRD, NNODE, U, DU, V, A, JTYPE, TIME, 2 DTIME, KSTEP, KINC, JELEM, PARAMS, NDLOAD, JDLTYP, ADLMAG, 3 PREDEF, NPREDF, LFLAGS, MLVARX, DDLMAG, MDLOAD, PNEWDT, JPROPS, 4 NJPROP, PERIOD) c INCLUDE 'ABA_PARAM.INC' c include 'mycommon.f' c DIMENSION RHS(MLVARX,*),AMATRX(NDOFEL,NDOFEL),PROPS(*), 1 SVARS(*),ENERGY(8),COORDS(MCRD,NNODE),U(NDOFEL), 2 DU(MLVARX,*),V(NDOFEL),A(NDOFEL),TIME(2),PARAMS(*), 3 JDLTYP(MDLOAD,*),ADLMAG(MDLOAD,*),DDLMAG(MDLOAD,*), 4 PREDEF(2,NPREDF,NNODE),LFLAGS(*),JPROPS(*) c DIMENSION ds1(4),ds2(4),dn(4),Trac(MCRD,NRHS), 1 Trac_Jacob(MCRD,MCRD),R(MCRD,MCRD),coord_l(MCRD,NNODE), 2 GP_coord(2),sf(4),B(MCRD,NDOFEL),co_de_m(3,4), 3 B_t(NDOFEL,MCRD), Transformation_M(NDOFEL,NDOFEL), 4 Transformation_M_T(NDOFEL,NDOFEL),temp1(MCRD,NDOFEL) c DIMENSION stiff_l(NDOFEL,NDOFEL),temp2(NDOFEL,NDOFEL), 1 stiff_g(NDOFEL,NDOFEL),residual_l(NDOFEL,NRHS), 2 residual_g(NDOFEL,NRHS),aJacob_M(2,3),delu_loc_gp(mcrd), 3 co_de(mcrd,nnode),damage(4) c DOUBLE PRECISION delta0, deltaF, stiffK, stiffG, sigma0 c Normal and shear distance DOUBLE PRECISION opn, opt, deltaortiz c Map between cohesive elements and neighbouring bulk elements real*8 :: cohelebulkmap(nElemUel,3) c Twin volume fractions in the neighbouring elements real*8 :: tvfneigh1(2), tvfneigh2(2) integer :: tempelem, tempneighelem1, tempneighelem2 include 'CoheleBulkMap.f' tempelem = JELEM - nElements ! number of the cohesive element c Find indices of the neighbouring bulk elements c and corresponding twin volume fraction tempneighelem1 = cohelebulkmap(tempelem,2) tempneighelem2 = cohelebulkmap(tempelem,3) tvfneigh1(1:2) = 0.0 tvfneigh2(1:2) = 0.0 do i = 1,nintpts tvfneigh1(1) = tvfneigh1(1) + kTwinVolFrac(tempneighelem1,i,1) tvfneigh1(2) = tvfneigh1(2) + kTwinVolFrac(tempneighelem1,i,2) end do tvfneigh1(1) = tvfneigh1(1) / nintpts tvfneigh1(2) = tvfneigh1(2) / nintpts do i = 1,nintpts tvfneigh2(1) = tvfneigh2(1) + kTwinVolFrac(tempneighelem2,i,1) tvfneigh2(2) = tvfneigh2(2) + kTwinVolFrac(tempneighelem2,i,2) end do tvfneigh2(1) = tvfneigh2(1) / nintpts tvfneigh2(2) = tvfneigh2(2) / nintpts c c Define Inputs======================================================== c stiffK = PROPS(1) ! normal stiffness stiffG = PROPS(2) ! shear stiffness sigma0 = PROPS(3) ! max stress before failure do j = 1,nnode if (coords(1,j) .GT. 25.0) then sigma0 = sigma0 * (1.0 + ((coords(1,j)-25.0)/5.0)) EXIT end if if (coords(1,j) .LT. 5.0) then sigma0 = sigma0 * (1.0 + ((5.0-coords(1,j))/5.0)) EXIT end if end do sigma0 = sigma0 - 400.0*max(abs(tvfneigh1(1)-tvfneigh2(1)),abs(tvfneigh1(2)-tvfneigh2(2))) ! output sigma0 in the bulk elements as the ! minimum on the four interface elements connected to ! that element call MutexLock( 12 ) ! lock Mutex #12 do i = 1,nintpts if (sigma0 < kSigma0(tempneighelem1,i)) then kSigma0(tempneighelem1,i) = sigma0 end if if (sigma0 < kSigma0(tempneighelem2,i)) then kSigma0(tempneighelem2,i) = sigma0 end if end do call MutexUnlock( 12 ) ! unlock Mutex #12 delta0 = sigma0/stiffK ! max displacement before failure begins deltaF = PROPS(4) ! displacement for complete failure ! 4 Gauss points at the surface of the cohesive element GP_n=4d0 c c Initialize Matrices and Vectors====================================== c ! shear and normal openings at the four nodes ! of the midsurface call k_vector_zero(ds1,4) ! ds1 has dimension 4 call k_vector_zero(ds2,4) ! ds2 has dimension 4 call k_vector_zero(dn,4) ! dn has dimension 4 ! traction vector and derivatives ! with respect to opening displacement vector call k_matrix_zero(Trac,mcrd,nrhs) ! nrhs = 1 (apart from Riks analysis) call k_matrix_zero(Trac_Jacob,mcrd,mcrd) ! Trac_Jacob(3,3) ! rotation matrix that transforms global coordinates ! into local coordinates of the midsurface frame of reference call k_matrix_zero(R,mcrd,mcrd) ! R(3,3) ! coordinates of the nodes in the local frame of reference call k_matrix_zero(coord_l,mcrd,nnode) ! coord_l(3,8) call k_vector_zero(GP_coord,2) ! surface Gauss point coordinates (2D) call k_vector_zero(sf,4) ! sf(4) = shape functions calculated at gauss points ! transformation matrices contain one R matrix for each node call k_matrix_zero(Transformation_M,ndofel,ndofel) ! Transformation_M(24,24) call k_matrix_zero(Transformation_M_T,ndofel,ndofel) ! Transformation_M_T(24,24) ! B(3,24) matrix connects global nodal displacement with local separation call k_matrix_zero(B,mcrd,ndofel) call k_matrix_zero(B_t,ndofel,mcrd) call k_matrix_zero(temp1,mcrd,ndofel) ! used in B_t * Trac_Jacob * B ! stiffness matrix expressed in the local frame of reference call k_matrix_zero(stiff_l,ndofel,ndofel) ! stiff_l(24,24) call k_matrix_zero(temp2,ndofel,ndofel) ! used in T' * K * T ! stiffness matrix expressed in the global frame of reference call k_matrix_zero(stiff_g,ndofel,ndofel) ! stiff_g(24,24) ! residual in the local and global coordinates call k_matrix_zero(residual_l,ndofel,nrhs) ! residual_l(24,1) call k_matrix_zero(residual_g,ndofel,nrhs) ! residual_g(24,1) ! rows contain vectors on the midsurface call k_matrix_zero(aJacob_M,2,3) ! right hand side of the overall system of equations ! output for Abaqus call k_matrix_zero(rhs,ndofel,nrhs) ! rhs(24,1) ! amatrx(24,24) is the stiffness matrix of cohesive element ! given by B^T R^T D_{loc} R B (Eq. 4 in Spring 2014) ! D_{loc} is the local tangent stiffness of the cohesive element ! R is the rotation matrix of nodal displacement ! local coordinates are determined by connecting the midside points of the cohesive elements ! R transforms the global coordinates into the local coordinates call k_matrix_zero(amatrx,ndofel,ndofel) ! co_de(3,8) are the deformed coordinates of the nodes call k_matrix_zero(co_de,mcrd,nnode) a_Jacob=0.d0 ! The following will create an infinite loop, ! giving sufficient time to attach the debugger to ! the running process once the program is running debug = 0 DO WHILE(debug .eq. 1 .and. KINC == 1) !paused for debugging END DO c c Do local computations================================================ c Determine deformed coordinates do i = 1,mcrd do j = 1,nnode co_de(i,j)=coords(i,j)+U(3.0*(j-1.0)+i) end do end do c c Do Calculations at Gauss Points====================================== c c Begin cycling over Gauss points c do i = 1,GP_n c call k_matrix_zero(aJacob_M,2,3) c gpt = i ! Gauss point index c Damage at Gauss point is stored into state variables damage(i) = SVARS(i) c c Define rotation matrix R that transforms global coordinates c into local coordinates referred to the midplane c call k_local_coordinates(gpt,co_de,R,coord_l,Transformation_M, & Transformation_M_T,a_Jacob,aJacob_M,coords,u,ndofel,nnode, & mcrd,SVARS,KINC) c c Compute shear and normal local opening displacements================== c note that the order of the nodes is 1,2,3,4 on the bottom face c corresponding to 5,6,7,8 on the top face c Coordinates are in the midsurface reference frame c do j = 1,4 ds1(j)=coord_l(1,j+4)-coord_l(1,j) ds2(j)=coord_l(2,j+4)-coord_l(2,j) dn(j) =coord_l(3,j+4)-coord_l(3,j) end do c c Determine the values of the shape function at Gauss Point i c call k_shape_fun(i,sf) c call k_vector_zero(delu_loc_gp,mcrd) c c Determine shear and normal opening displacements at Gauss points c Coordinates are in the midsurface reference frame c do j = 1,4 delu_loc_gp(1)=delu_loc_gp(1)+ds1(j)*sf(j) delu_loc_gp(2)=delu_loc_gp(2)+ds2(j)*sf(j) delu_loc_gp(3)=delu_loc_gp(3)+dn(j)*sf(j) end do c c Shear distance calculation c opn=delu_loc_gp(3) opt=sqrt(delu_loc_gp(1)**2.0+delu_loc_gp(2)**2.0) c c Determine Traction vector and tangent modulus matrix c Bilinear cohesive law c Trac is a pressure c Trac_Jacob is the derivative of Trac with respect to c crack opening vector in the local frame of reference c with coordinates in the midsurface reference frame call k_cohesive_law(Trac,Trac_Jacob,stiffK,stiffG,sigma0, & delta0,deltaF,delu_loc_gp,mcrd,nrhs,SVARS,damage(i),KINC,deltaortiz) ! assign new damage to state variables ! and to global variable SVARS(i) = damage(i) ! output effective opening in the bulk elements as the ! maximum on the four interface elements connected to ! that element call MutexLock( 15 ) ! lock Mutex #15 do j = 1,nintpts if (deltaortiz > kDeltaEff(tempneighelem1,j)) then kDeltaEff(tempneighelem1,j) = deltaortiz end if if (deltaortiz > kDeltaEff(tempneighelem2,j)) then kDeltaEff(tempneighelem2,j) = deltaortiz end if end do call MutexUnlock( 15 ) ! unlock Mutex #15 c c Determine B matrix and its transpose c B connects the displacement at the nodes with c the crack opening along the midsurface c call k_Bmatrix(sf,B,mcrd,ndofel) c call k_matrix_transpose(B,B_t,mcrd,ndofel) c c Compute the stiffness matrix c Local Stiffness = B_t * Trac_Jacob * B c Calculated with coordinates in the midsurface reference frame c call k_matrix_multiply(Trac_Jacob,B,temp1,mcrd,mcrd, & ndofel) call k_matrix_multiply(B_t,temp1,stiff_l,ndofel, & mcrd,ndofel) c c Compute Global stiffness matrix c Global_K = T' * K * T c Transformation_M rotates coordinates of each node c from global to local system of the midsurface c call k_matrix_multiply(Transformation_M_T,stiff_l, & temp2,ndofel,ndofel,ndofel) call k_matrix_multiply(temp2,Transformation_M,stiff_g, & ndofel,ndofel,ndofel) c c Multiply Jacobian with the Global stiffness and add contribution c from each Gauss Point c Equation 4 in Spring 2014 c a_Jacob is the scalar value of the area c of the midsurface (for 1 Gauss point) c call k_matrix_plus_scalar(amatrx,stiff_g,a_Jacob, & ndofel,ndofel) c c Compute the global residual vector c Local_residual = B_t * Trac c Global_residual = T' * Local_residual c Equation 5 in Spring 2014 c call k_matrix_multiply(B_t,Trac,residual_l,ndofel, & mcrd,nrhs) call k_matrix_multiply(Transformation_M_T,residual_l, & residual_g,ndofel,ndofel,nrhs) c c Multiply the Global residual by the Jacobian and add the c contribution from each point c call k_matrix_plus_scalar(rhs,residual_g,a_Jacob, & ndofel,nrhs) c c End cycling over Gauss points c end do c return end c====================================================================== c=============================SUBROUTINES============================== c====================================================================== c c Determine the strain-displacement (B) matrix c B connects the displacement at the nodes with c the crack opening along the midsurface c subroutine k_Bmatrix(sf,B,mcrd,ndofel) INCLUDE 'ABA_PARAM.INC' dimension sf(4),B(mcrd,ndofel) B(1,1) = sf(1) B(1,4) = sf(2) B(1,7) = sf(3) B(1,10)= sf(4) B(1,13)= -sf(1) B(1,16)= -sf(2) B(1,19)= -sf(3) B(1,22)= -sf(4) B(2,2) = sf(1) B(2,5) = sf(2) B(2,8) = sf(3) B(2,11)= sf(4) B(2,14)= -sf(1) B(2,17)= -sf(2) B(2,20)= -sf(3) B(2,23)= -sf(4) B(3,3) = sf(1) B(3,6) = sf(2) B(3,9) = sf(3) B(3,12)= sf(4) B(3,15)= -sf(1) B(3,18)= -sf(2) B(3,21)= -sf(3) B(3,24)= -sf(4) c return end c====================================================================== c Bilinear cohesive law c subroutine k_cohesive_law(T,T_d,stiffK,stiffG,sigma0, & delta0,deltaF,delu,mcrd,nrhs,SVARS,damage,KINC,deltaortiz) INCLUDE 'ABA_PARAM.INC' dimension T(mcrd,nrhs),T_d(mcrd,mcrd),delu(mcrd),SVARS(4) DOUBLE PRECISION stiffK, stiffG, sigma0, delta0, & deltaF, popn, popt, Tn, Tt, damage, deltaD, maxS, & Dnn, Dnt, Dtt, Dtn c weight factor in front of shear displacement c determines how much shear contributes to damage c corresponds to beta^2 in Ortiz, Pandolfi, 1999 DOUBLE PRECISION smaxratio c effective displacement delta which determines the damage c see Ortiz, Pandolfi 1999 DOUBLE PRECISION deltaortiz c Derivatives of the damage with respect to popn and popt c when damage is increase, otherwise zero DOUBLE PRECISION ddamagedpopn, ddamagedpopt DOUBLE PRECISION ddamagetemp c c Define normal and shear displacement c popn=delu(3) popt=sqrt(delu(1)**2.0+delu(2)**2.0) ! always positive ! Damage accumulation ! equation holds for every case ! damage also in shear ! bilinear relationship determined by effective length deltaortiz smaxratio = 0.1 if (popn .GT. 0.0) then deltaortiz = sqrt(smaxratio*popt*popt + popn*popn) ! effective displacement > 0 else deltaortiz = popt*sqrt(smaxratio) ! shear/compression damage > 0 end if ! deltaD is the value of deltaortiz ! above which the mechanical behaviour becomes softening ! calculated with the damage at the previous time step ! always > 0 deltaD = delta0*deltaF/(deltaF-damage*(deltaF-delta0)) if (damage .LT. 1.0) then if (deltaortiz .GT. deltaF) then ! fully damaged damage = 1.0 else if (deltaortiz .GT. deltaD) then ! damage increase damage = deltaF*(deltaortiz-delta0)/(deltaortiz*(deltaF-delta0)) end if ! otherwise constant end if else ! limit damage to 1.0 damage = 1.0 end if c Determine load case and c calculate the normal cohesive traction Tn c and shear traction Tt c if (damage .LE. 0.0) then ! undamaged ! uploading (popn > 0) ! compression (popn < 0) Tn = stiffK*popn Tt = stiffG*popt Dnn = stiffK Dtt = stiffG Dtn = 0.0 ! derivative of Tt with respect to popn Dnt = 0.0 ! derivative of Tn with respect to popt elseif (damage .GE. 1.0) then ! completely damaged if (popn .GT. 0.0) then ! crack open Tn = 0.0 Dnn = 0.0 else ! contact Tn = stiffK*popn Dnn = stiffK end if ! shear traction always 0 when completely damaged ! because of no friction Tt = 0.0 Dtt = 0.0 Dtn = 0.0 ! derivative of Tt with respect to popn Dnt = 0.0 ! derivative of Tn with respect to popt else ! partially damaged if (deltaortiz .GT. deltaD) then ! damage increase ddamagetemp = deltaF*delta0 ddamagetemp = ddamagetemp/(deltaortiz*deltaortiz*deltaortiz) ddamagetemp = ddamagetemp/(deltaF-delta0) ddamagedpopn = ddamagetemp*popn ddamagedpopt = smaxratio*ddamagetemp*popt else ! damage is constant -> no derivatives of damage ddamagedpopn = 0.0 ddamagedpopt = 0.0 end if Tt = (1.0-damage)*stiffG*popt Dtt = (1.0-damage)*stiffG - stiffG*popt*ddamagedpopt Dtn = -stiffG*popt*ddamagedpopn if (popn .GT. 0.0) then Tn = (1.0-damage)*stiffK*popn Dnn = (1.0-damage)*stiffK - stiffK*popn*ddamagedpopn Dnt = -stiffK*popn*ddamagedpopt else ! contact Tn = stiffK*popn Dnn = stiffK Dnt = 0.0 end if end if ! assign components of the traction vector T(3,1) = Tn if (popt .EQ. 0.0) then ! avoid division by zero T(1,1) = 0.0 T(2,1) = 0.0 else T(1,1) = Tt*delu(1)/popt T(2,1) = Tt*delu(2)/popt end if ! assign components of the derivatives of ! the traction vector T_d(3,3) = Dnn if (popt .EQ. 0.0) then T_d(1,1) = Dtt T_d(1,2) = 0.0d00 T_d(1,3) = 0.0d00 T_d(2,1) = 0.0d00 T_d(2,2) = Dtt T_d(2,3) = 0.0d00 T_d(3,1) = 0.0d00 T_d(3,2) = 0.0d00 else T_d(1,1)=Dtt*(delu(1)/popt)**2.0+Tt*((delu(2)**2.0)/(popt & **3.0)) T_d(1,2)=Dtt*delu(1)*delu(2)/(popt**2.0) & -Tt*delu(1)*delu(2)/(popt**3.0) T_d(1,3)=Dtn*delu(1)/popt c T_d(2,1)=T_d(1,2) T_d(2,2)=Dtt*(delu(2)/popt)**2.0+Tt*((delu(1)**2.0)/(popt & **3.0)) T_d(2,3)=Dtn*delu(2)/popt T_d(3,1) = Dnt*delu(1)/popt T_d(3,2) = Dnt*delu(2)/popt end if c return end c===================================================================== c determine the rotation matrix R that transforms c global coordinates into local coordinates of the midsurface c determine the Jacobian: a_Jacob, aJacob_M c subroutine k_local_coordinates(gpt,co_de,R,coord_l,Transformation_M, & Transformation_M_T,a_Jacob,aJacob_M,coords,u,ndofel,nnode, & mcrd, SVARS, KINC) INCLUDE 'ABA_PARAM.INC' dimension R(mcrd,mcrd),coord_l(mcrd,nnode),aJacob_M(2,3), & Transformation_M(ndofel,ndofel),coords(mcrd,nnode), & Transformation_M_T(ndofel,ndofel),u(ndofel), & co_de(mcrd,nnode), co_de_m(3,4),SFD(2,4),SVARS(4) ! coordinate components of the 4 midpoints of the cohesive element DOUBLE PRECISION x1, x2, x3, x4, y1, y2, y3, y4, y5, y6, z1, z2, & z3, z4 c ! co_de_m(3,4) are the coordinates of the 4 midpoints of the cohesive element call k_matrix_zero(co_de_m,3,4) c do i = 1,3 co_de_m(i,1)=(co_de(i,1)+co_de(i,5))*0.5 co_de_m(i,2)=(co_de(i,2)+co_de(i,6))*0.5 co_de_m(i,3)=(co_de(i,3)+co_de(i,7))*0.5 co_de_m(i,4)=(co_de(i,4)+co_de(i,8))*0.5 end do !if (KINC == 1000) then ! write(*,*) 'co_de_m(1,2)' ! write(*,*) co_de_m(1,2) ! write(*,*) 'co_de_m' ! write(*,*) co_de_m !end if c x1=co_de_m(1,1) x2=co_de_m(1,2) x3=co_de_m(1,3) x4=co_de_m(1,4) c y1=co_de_m(2,1) y2=co_de_m(2,2) y3=co_de_m(2,3) y4=co_de_m(2,4) c z1=co_de_m(3,1) z2=co_de_m(3,2) z3=co_de_m(3,3) z4=co_de_m(3,4) c c Coordinates of the Gauss points in the reference element c with edges in plus/minus 1 c if (gpt .eq. 1) then c_r=-sqrt(1.0d0/3.0d0) c_s=-sqrt(1.0d0/3.0d0) elseif (gpt .eq. 2) then c_r= sqrt(1.0d0/3.0d0) c_s=-sqrt(1.0d0/3.0d0) elseif (gpt .eq. 3) then c_r= sqrt(1.0d0/3.0d0) c_s= sqrt(1.0d0/3.0d0) elseif (gpt .eq. 4) then c_r=-sqrt(1.0d0/3.0d0) c_s= sqrt(1.0d0/3.0d0) end if c c Shape function derivatives c with respect to coordinates 1 and 2 c in the reference element = dphi/dxi c SFD(1,1) =-0.25*(1-c_s) SFD(1,2) = 0.25*(1-c_s) SFD(1,3) = 0.25*(1+c_s) SFD(1,4) =-0.25*(1+c_s) SFD(2,1) =-0.25*(1-c_r) SFD(2,2) =-0.25*(1+c_r) SFD(2,3) = 0.25*(1+c_r) SFD(2,4) = 0.25*(1-c_r) c c Jacobian matrix: coordinates of the midpoints are multiplied c by the derivatives dphi/dxi, since co_de_m * phi c are the coordinates on the mid surface using shape function interpolation c then aJacob_M = dx/dxi c the two rows of aJacob_M are 3D vectors indicating the two edges c of the mid surface c do i = 1,2 do j = 1,3 do k =1,4 aJacob_M(i,j) = aJacob_M(i,j) + SFD(i,k)*co_de_m(j,k) end do end do end do c c Vector product to find the normal of the mid surface c dum1 = aJacob_M(1,2)*aJacob_M(2,3) - aJacob_M(1,3)*aJacob_M(2,2) dum2 = aJacob_M(1,3)*aJacob_M(2,1) - aJacob_M(1,1)*aJacob_M(2,3) dum3 = aJacob_M(1,1)*aJacob_M(2,2) - aJacob_M(1,2)*aJacob_M(2,1) c a_Jacob = sqrt(dum1**2 + dum2**2 + dum3**2) c c Third row of the rotation matrix is the surface normal c see Eq. 7 in Spring 2014 c R(3,1) = dum1/a_Jacob R(3,2) = dum2/a_Jacob R(3,3) = dum3/a_Jacob c c Definition of the first row of rotation matrix R c as the first vector of aJacob_M, which is the vector on the mid surface c determined by the coordinate c_s in the reference element c aLen=sqrt(aJacob_M(1,1)**2.0d00+aJacob_M(1,2)**2.0d00+aJacob_M(1,3)**2.0d00) R(1,1)=aJacob_M(1,1)/aLen R(1,2)=aJacob_M(1,2)/aLen R(1,3)=aJacob_M(1,3)/aLen c c Definition of the second row of rotation matrix R c as the vector product between midsurface normal and c first vector of aJacob_M c aLen2a=R(3,2)*R(1,3)-R(3,3)*R(1,2) aLen2b=R(3,3)*R(1,1)-R(3,1)*R(1,3) aLen2c=R(3,1)*R(1,2)-R(3,2)*R(1,1) c aLen2 = sqrt(aLen2a**2.0d00 + aLen2b**2.0d00 + aLen2c**2.0d00) c R(2,1) = aLen2a/aLen2 R(2,2) = aLen2b/aLen2 R(2,3) = aLen2c/aLen2 c c Components of the Jacobian matrix aJacob_M c are recalculated c a_J11 = aJacob_M(1,1) c a_J12 = aJacob_M(1,3) c a_J21 = aJacob_M(2,1) c a_J22 = aJacob_M(2,3) c a_J11 = (-0.25*(1-c_s))*x1 + (0.25*(1-c_s))*x2 + (0.25*(1+c_s))*x3 + & (-0.25*(1+c_s))*x4 a_J12 = (-0.25*(1-c_s))*z1 + (0.25*(1-c_s))*z2 + (0.25*(1+c_s))*z3 + & (-0.25*(1+c_s))*z4 a_J21 = (-0.25*(1-c_r))*x1 + (-0.25*(1+c_r))*x2 + (0.25*(1+c_r))*x3 + & (0.25*(1-c_r))*x4 a_J22 = (-0.25*(1-c_r))*z1 + (-0.25*(1+c_r))*z2 + (0.25*(1+c_r))*z3 + & (0.25*(1-c_r))*z4 c b_J11 = (-0.25*(1-c_s))*x1 + (0.25*(1-c_s))*x2 + (0.25*(1+c_s))*x3 + & (-0.25*(1+c_s))*x4 b_J12 = (-0.25*(1-c_s))*y1 + (0.25*(1-c_s))*y2 + (0.25*(1+c_s))*y3 + & (-0.25*(1+c_s))*y4 b_J21 = (-0.25*(1-c_r))*x1 + (-0.25*(1+c_r))*x2 + (0.25*(1+c_r))*x3 + & (0.25*(1-c_r))*x4 b_J22 = (-0.25*(1-c_r))*y1 + (-0.25*(1+c_r))*y2 + (0.25*(1+c_r))*y3 + & (0.25*(1-c_r))*y4 c c_J11 = (-0.25*(1-c_s))*y1 + (0.25*(1-c_s))*y2 + (0.25*(1+c_s))*y3 + & (-0.25*(1+c_s))*y4 c_J12 = (-0.25*(1-c_s))*z1 + (0.25*(1-c_s))*z2 + (0.25*(1+c_s))*z3 + & (-0.25*(1+c_s))*z4 c_J21 = (-0.25*(1-c_r))*y1 + (-0.25*(1+c_r))*y2 + (0.25*(1+c_r))*y3 + & (0.25*(1-c_r))*y4 c_J22 = (-0.25*(1-c_r))*z1 + (-0.25*(1+c_r))*z2 + (0.25*(1+c_r))*z3 + & (0.25*(1-c_r))*z4 c c The following are the components of the normal vector c to the mid surface, calculated using vector product of c aJacob_M(1,1:3) and aJacob_M(2,1:3) c a_Jacob1 = (a_J11*a_J22 - a_J12*a_J21) a_Jacob2 = (b_J11*b_J22 - b_J12*b_J21) a_Jacob3 = (c_J11*c_J22 - c_J12*c_J21) c c a_Jacob is the scalar value of the area c of the midsurface (for 1 Gauss point) c note that this area change from Gauss point c to Gauss point c a_Jacob = sqrt(a_Jacob1**2.0d00 + a_Jacob2**2.0d00 + a_Jacob3**2.0d00) c c====================================================================== num=nnode c c Transformation_M(24,24) contains 8 times the rotation matrix c on the diagonal 3x3 regions of the matrix c It can rotate the coordinates of each node independently c do i = 1,num dum=3.0*(i-1.0) Transformation_M(dum+1,dum+1)=R(1,1) Transformation_M(dum+1,dum+2)=R(1,2) Transformation_M(dum+1,dum+3)=R(1,3) Transformation_M(dum+2,dum+1)=R(2,1) Transformation_M(dum+2,dum+2)=R(2,2) Transformation_M(dum+2,dum+3)=R(2,3) Transformation_M(dum+3,dum+1)=R(3,1) Transformation_M(dum+3,dum+2)=R(3,2) Transformation_M(dum+3,dum+3)=R(3,3) end do c call k_matrix_transpose(Transformation_M,Transformation_M_T, $ ndofel,ndofel) c c coord_l(3,8) are the coordinates of the cohesive element nodes c expressed in the local coordinate system c which is the coordinate system of the midsurface c do i = 1, nnode coord_l(1,i)=(R(1,1)*co_de(1,i)+R(1,2)*co_de(2,i) & +R(1,3)*co_de(3,i)) coord_l(2,i)=(R(2,1)*co_de(1,i)+R(2,2)*co_de(2,i) & +R(2,3)*co_de(3,i)) coord_l(3,i)=(R(3,1)*co_de(1,i)+R(3,2)*co_de(2,i) & +R(3,3)*co_de(3,i)) end do c !if (KINC == 2) then ! write(*,*) 'R(2,1)' ! write(*,*) R(2,1) ! write(*,*) 'R' ! write(*,*) R !end if c return end c====================================================================== c Calculate shape function at gauss point i c of the midsurface element c subroutine k_shape_fun(i,sf) INCLUDE 'ABA_PARAM.INC' dimension sf(4), GP_coord(2) c if (i .eq. 1) then GP_coord(1)=-sqrt(1.0d0/3.0d0) GP_coord(2)=-sqrt(1.0d0/3.0d0) elseif (i .eq. 2) then GP_coord(1)= sqrt(1.0d0/3.0d0) GP_coord(2)=-sqrt(1.0d0/3.0d0) elseif (i .eq. 3) then GP_coord(1)= sqrt(1.0d0/3.0d0) GP_coord(2)= sqrt(1.0d0/3.0d0) elseif (i .eq. 4) then GP_coord(1)=-sqrt(1.0d0/3.0d0) GP_coord(2)= sqrt(1.0d0/3.0d0) end if c sf(1)=(1-GP_coord(1))*(1-GP_coord(2))*0.25 sf(2)=(1+GP_coord(1))*(1-GP_coord(2))*0.25 sf(3)=(1+GP_coord(1))*(1+GP_coord(2))*0.25 sf(4)=(1-GP_coord(1))*(1+GP_coord(2))*0.25 c return end c====================================================================== c Multiply matrices A and B to give C c subroutine k_matrix_multiply(A,B,C,l,n,m) INCLUDE 'ABA_PARAM.INC' dimension A(l,n),B(n,m),C(l,m) c call k_matrix_zero(C,l,m) c do i = 1, l do j = 1, m do k = 1, n C(i,j)=C(i,j)+A(i,k)*B(k,j) end do end do end do c return end c====================================================================== c Sum matrices with prefactor c subroutine k_matrix_plus_scalar(A,B,c,n,m) INCLUDE 'ABA_PARAM.INC' dimension A(n,m),B(n,m) c do i = 1, n do j = 1, m A(i,j)=A(i,j)+c*B(i,j) end do end do c return end c====================================================================== c Transpose matrix subroutine k_matrix_transpose(A,B,n,m) INCLUDE 'ABA_PARAM.INC' dimension A(n,m),B(m,n) c do i = 1,n do j = 1,m B(j,i)=A(i,j) end do end do c return end c====================================================================== c Initialize all the components of a matrix to zero subroutine k_matrix_zero(A,n,m) INCLUDE 'ABA_PARAM.INC' dimension A(n,m) c do i = 1, n do j = 1, m A(i,j)=0.d0 end do end do c return end c====================================================================== c Initialize all the components of a vector to zero subroutine k_vector_zero(A,n) INCLUDE 'ABA_PARAM.INC' dimension A(n) c do i = 1, n A(i)=0.d0 end do c return end c====================================================================== c Calculate Macaulay brackets subroutine k_Mac(pM,a,b) INCLUDE 'ABA_PARAM.INC' c if ((a-b) .GE. 0.0) then pM=a-b elseif ((a-b) .LT. 0.0) then pM=0.d0 end if c return end c====================================================================== c=================================END================================== c====================================================================== ================================================ FILE: old version/abaqus_v6.env ================================================ # Abaqus 2016 env file memory="190 gb" compile_fortran=['ifort','/Qmkl', # <-- MKL library '/c','/DABQ_WIN86_64', '/extend-source', '/fpp', '/iface:cref', '/recursive', '/Qauto-scalar', '/QxSSE3', '/QaxAVX', '/heap-arrays:1', # '/Od', '/Ob0', # <-- Optimization Debugging # '/Zi', # <-- Debugging '/include:%I'] link_sl=['LINK', '/nologo', '/NOENTRY', '/INCREMENTAL:NO', '/subsystem:console', '/machine:AMD64', '/NODEFAULTLIB:LIBC.LIB', '/NODEFAULTLIB:LIBCMT.LIB', '/DEFAULTLIB:OLDNAMES.LIB', '/DEFAULTLIB:LIBIFCOREMD.LIB', '/DEFAULTLIB:LIBIFPORTMD.LIB', '/DEFAULTLIB:LIBMMD.LIB', '/DEFAULTLIB:kernel32.lib', '/DEFAULTLIB:user32.lib', '/DEFAULTLIB:advapi32.lib', '/FIXED:NO', '/dll', # '/debug', # <-- Debugging '/def:%E', '/out:%U', '%F', '%A', '%L', '%B', 'oldnames.lib', 'user32.lib', 'ws2_32.lib', 'netapi32.lib', 'advapi32.lib'] ================================================ FILE: old version/kCRSS.f ================================================ ******************************************************** ** KCRSS calculates the CRSS of slip and twin systems ** ******************************************************** SUBROUTINE kCRSS(iphase,tauc,nSys,G12,burgerv,gndtot,irradiate, + tauSolute,gndcut,rhofor,rhosub,Temperature,homogtwin, + nTwinStart,nTwinEnd,twinvolfrac,tauctwin,nTwin,TwinIntegral, + twinvolfractotal,twinon) INCLUDE 'ABA_PARAM.INC' ! crystal type INTEGER,intent(in) :: iphase ! number of slip systems INTEGER,intent(in) :: nSys ! total number of twin systems INTEGER,intent(in) :: nTwin ! shear modulus for Taylor dislocation law REAL*8,intent(in) :: G12 ! Burgers vectors REAL*8,intent(in) :: burgerv(nSys) ! scalar total GND density REAL*8,intent(in) :: gndtot ! activate irradiation effect INTEGER,intent(in) :: irradiate ! increase in tauc due to solute force REAL*8,intent(in) :: tauSolute ! GND density (immobile) REAL*8,intent(in) :: gndcut(nSys) ! forest dislocation density REAL*8,intent(in) :: rhofor(nSys) ! substructure dislocation density REAL*8,intent(in) :: rhosub ! Current temperature REAL*8,intent(in) :: Temperature ! homogenize twin model INTEGER,intent(in) :: homogtwin ! the active twins are the ones in the ! interval [nTwinStart,nTwinEnd] in the ! twin system file INTEGER,intent(in) :: nTwinStart,nTwinEnd ! twin systems activation flag INTEGER,intent(in) :: twinon ! twin volume fraction REAL*8,intent(in) :: twinvolfrac(nTwin) ! average of the twin volume fraction ! over the neighbourhood ! two twin systems REAL*8,intent(in) :: TwinIntegral(nTwin) ! total twin volume fraction REAL*8,intent(in) :: twinvolfractotal ! critical resolved shear stress of slip systems REAL*8,intent(inout) :: tauc(nSys) ! critical resolved shear stress of twin systems REAL*8,intent(inout) :: tauctwin(nTwin) INTEGER :: i ! check crystal type if (iphase == 1) then ! Taylor dislocation law tauc = tauc + 0.0065*G12*(burgerv(1))*sqrt(gndtot) if (irradiate == 1) then tauc = tauc + tauSolute end if else if (iphase == 2) then ! Taylor dislocation law tauc = tauc + 0.32*G12*(burgerv(1))*sqrt(gndcut) else if (iphase == 5) then ! alpha-Uranium model with forest and substructure dislocations ! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tomé ! Deformation of wrought uranium: Experiments and modeling ! Acta Materialia 58 (2010) 5447–5459 tauc(1) = tauc(1) + 19.066 * sqrt(rhofor(1)) + 1.8218 * sqrt(rhosub) * log(1.0 / (burgerv(1) * sqrt(rhosub))) tauc(2) = tauc(2) + 18.832 * sqrt(rhofor(2)) + 1.7995 * sqrt(rhosub) * log(1.0 / (burgerv(2) * sqrt(rhosub))) tauc(3) = tauc(3) + 54.052 * sqrt(rhofor(3)) + 5.1650 * sqrt(rhosub) * log(1.0 / (burgerv(3) * sqrt(rhosub))) tauc(4) = tauc(4) + 54.052 * sqrt(rhofor(4)) + 5.1650 * sqrt(rhosub) * log(1.0 / (burgerv(4) * sqrt(rhosub))) tauc(5) = tauc(5) + 123.357 * sqrt(rhofor(5)) + 11.7875 * sqrt(rhosub) * log(1.0 / (burgerv(5) * sqrt(rhosub))) tauc(6) = tauc(6) + 123.357 * sqrt(rhofor(6)) + 11.7875 * sqrt(rhosub) * log(1.0 / (burgerv(6) * sqrt(rhosub))) tauc(7) = tauc(7) + 123.357 * sqrt(rhofor(7)) + 11.7875 * sqrt(rhosub) * log(1.0 / (burgerv(7) * sqrt(rhosub))) tauc(8) = tauc(8) + 123.357 * sqrt(rhofor(8)) + 11.7875 * sqrt(rhosub) * log(1.0 / (burgerv(8) * sqrt(rhosub))) ! Zecevic 2016 temperature dependence tauc(1) = tauc(1) * exp(-(Temperature-293.0)/140.0) tauc(2) = tauc(2) * exp(-(Temperature-293.0)/140.0) tauc(3) = tauc(3) * exp(-(Temperature-293.0)/140.0) tauc(4) = tauc(4) * exp(-(Temperature-293.0)/140.0) tauc(5) = tauc(5) * exp(-(Temperature-293.0)/140.0) tauc(6) = tauc(6) * exp(-(Temperature-293.0)/140.0) tauc(7) = tauc(7) * exp(-(Temperature-293.0)/140.0) tauc(8) = tauc(8) * exp(-(Temperature-293.0)/140.0) ! Daniel, Lesage, 1971 minimum value as minima tauc(1) = max(tauc(1),4.0) tauc(2) = max(tauc(2),4.0) tauc(3) = max(tauc(3),4.0) tauc(4) = max(tauc(4),4.0) tauc(5) = max(tauc(5),4.0) tauc(6) = max(tauc(6),4.0) tauc(7) = max(tauc(7),4.0) tauc(8) = max(tauc(8),4.0) if (twinon == 1) then ! twin active if (homogtwin == 1) then ! homogenized twin model ! add cross hardening of one twin system on the other DO i=nTwinStart,nTwinEnd tauctwin(i) = tauctwin(i) + 96.79*twinvolfractotal END DO else ! discrete twin model ! add hardening in the nucleation stage ! 50% is the critical twin volume fraction at which the ! softest value is reached DO i=nTwinStart,nTwinEnd if (twinvolfrac(i) < 0.5) then tauctwin(i) = tauctwin(i) + 37.5*(0.5-twinvolfrac(i)) tauctwin(i) = tauctwin(i) + 2000.0*TwinIntegral(i) else ! twinvolfrac(i) > 0.5 tauctwin(i) = tauctwin(i) + 37.5*(twinvolfrac(i)-0.5) tauctwin(i) = tauctwin(i) + 2000.0*TwinIntegral(i) end if END DO ! local interaction between twin systems ! only when threshold is passed if (twinvolfrac(nTwinEnd) > 0.5) then tauctwin(nTwinStart) = tauctwin(nTwinStart) + 200.0*twinvolfrac(nTwinEnd) end if if (twinvolfrac(nTwinStart) > 0.5) then tauctwin(nTwinEnd) = tauctwin(nTwinEnd) + 200.0*twinvolfrac(nTwinStart) end if end if ! choice of twin model (homogeneous/discrete) end if ! twin active end if ! check crystal type RETURN END ================================================ FILE: old version/kHardening.f ================================================ ******************************************** ** KHARDENING updates the state variables ** ** that determine mechanical hardening ** ******************************************** SUBROUTINE kHardening(pdot,p,plasStrainrate,dtime,slip,gammaDot, + nSys,irradiate,tauSolute,gammast,rhossd,iphase,rhofor, + Temperature,rhosub,twinon,twinvolfrac,nTwin, + nTwinStart,nTwinEnd,gammaTwinDot) INCLUDE 'ABA_PARAM.INC' ! number of slip systems INTEGER,intent(in) :: nSys ! plastic strain rate REAL*8,intent(in) :: plasStrainRate(3,3) ! time increment REAL*8,intent(in) :: dtime ! plastic shear rate on slip systems ! and absolute value REAL*8,intent(in) :: gammadot(nSys) ! activate irradiation effect INTEGER,intent(in) :: irradiate ! prefactor for SSD evolution equation REAL*8,intent(in) :: gammast ! crystal type INTEGER,intent(in) :: iphase ! Current temperature REAL*8,intent(in) :: Temperature ! twin systems activation flag INTEGER,intent(in) :: twinon ! total number of twin systems INTEGER,intent(in) :: nTwin ! the active twins are the ones in the ! interval [nTwinStart,nTwinEnd] in the ! twin system file INTEGER,intent(in) :: nTwinStart,nTwinEnd ! twin rate REAL*8,intent(in) :: gammaTwinDot(nTwin) ! Von Mises invariant plastic strain rate REAL*8,intent(inout) :: p ! crystallographic slip ! needed for model with irradiation REAL*8,intent(inout) :: slip ! increase in tauc due to solute force REAL*8,intent(inout) :: tauSolute ! total SSD density REAL*8,intent(inout) :: rhossd ! forest dislocation density REAL*8,intent(inout) :: rhofor(nSys) ! substructure dislocation density REAL*8,intent(inout) :: rhosub ! twin volume fraction REAL*8,intent(inout) :: twinvolfrac(nTwin) ! Von Mises invariant plastic strain rate REAL*8,intent(out) :: pdot ! absolute value of the plastic shear rate on slip systems REAL*8,dimension(nSys) :: tgammadot INTEGER :: I ! calculate Von Mises invariant plastic strain rate pdot=sqrt(2./3.*sum(plasStrainrate*plasStrainrate)) p = p + pdot*dtime ! update crystallographic slip slip = slip + sum(abs(gammaDot))*dtime ! update solute force if (irradiate == 1) then tauSolute = 750.0*exp(-slip/0.025) end if !========================================================================= ! SSD Evolution rhossd = rhossd + (gammast*pdot*dtime) !========================================================================= !========================================================================= ! Dislocation density evolution (explicit Euler time integration) ! alpha-Uranium model if (iphase == 5) then ! slip independent of twin fraction DO I=1,nSys tgammaDot(I) = abs(gammaDot(I)) END DO ! forest dislocations evolution ! using constants from calibration of tensile bar 3 ! using twin-slip interaction model rhofor(1) = rhofor(1) + 43.2*max(sqrt(rhofor(1))-(0.17100+2.6093e-03*Temperature)*rhofor(1),0.0)*tgammaDot(1)*dtime rhofor(2) = rhofor(2) + 6320.0*max(sqrt(rhofor(2))-(0.25650+5.8708e-04*Temperature)*rhofor(2),0.0)*tgammaDot(2)*dtime rhofor(3) = rhofor(3) + 0.24*max(sqrt(rhofor(3))-(0.11718+1.9289e-04*Temperature)*rhofor(3),0.0)*tgammaDot(3)*dtime rhofor(4) = rhofor(4) + 0.24*max(sqrt(rhofor(4))-(0.11718+1.9289e-04*Temperature)*rhofor(4),0.0)*tgammaDot(4)*dtime rhofor(5) = rhofor(5) + 800.0*max(sqrt(rhofor(5))-(0.12+1.5e-05*Temperature)*rhofor(5),0.0)*tgammaDot(5)*dtime rhofor(6) = rhofor(6) + 800.0*max(sqrt(rhofor(6))-(0.12+1.5e-05*Temperature)*rhofor(6),0.0)*tgammaDot(6)*dtime rhofor(7) = rhofor(7) + 800.0*max(sqrt(rhofor(7))-(0.12+1.5e-05*Temperature)*rhofor(7),0.0)*tgammaDot(7)*dtime rhofor(8) = rhofor(8) + 800.0*max(sqrt(rhofor(8))-(0.12+1.5e-05*Temperature)*rhofor(8),0.0)*tgammaDot(8)*dtime ! substructure dislocations evolution rhosub = rhosub + 0.216*(17.545+0.26771*Temperature)*rhofor(1)*sqrt(rhosub)*tgammaDot(1)*dtime ! twin volume fraction evolution ! dot(f)^beta = dot(gamma)^beta / gamma^twin ! see Kalidindi JMPS 1998 (equations 32 and 33a) ! if twinvolfractot = 1.0 => all gammaTwinDot are zero => no evolution ! McCabe 2010: (130) twin induces a total strain 0.299 if (twinon == 1) then ! twin active twinvolfrac(nTwinStart) = twinvolfrac(nTwinStart) + gammaTwinDot(nTwinStart)*dtime/0.299 twinvolfrac(nTwinEnd) = twinvolfrac(nTwinEnd) + gammaTwinDot(nTwinEnd)*dtime/0.299 end if end if RETURN END ================================================ FILE: old version/kMaterialParam.f ================================================ ******************************************** ** KMATERIAL sets the material constants ** ** for elasticity and plasticity ** ******************************************** SUBROUTINE kMaterialParam(iphase,caratio,compliance,G12,thermat, + gammast,burgerv,nSys,tauc,screwplanes,Temperature, + tauctwin,nTwin,twinon,nTwinStart,nTwinEnd, + cubicslip) ! crystal type INTEGER,intent(in) :: iphase ! number of slip systems INTEGER,intent(in) :: nSys ! current temperature in Kelvin REAL*8,intent(in) :: Temperature ! total number of twin systems INTEGER,intent(in) :: nTwin ! twin systems activation flag INTEGER,intent(in) :: twinon ! the active twins are the ones in the ! interval [nTwinStart,nTwinEnd] in the ! twin system file INTEGER,intent(in) :: nTwinStart,nTwinEnd ! activate cubic slip systems for CMSX-4 alloy INTEGER,intent(in) :: cubicslip ! c/a ratio for hcp crystals REAL*8,intent(out) :: caratio ! elastic compliance matrix in the crystal reference frame REAL*8,intent(out) :: compliance(6,6) ! shear modulus for Taylor dislocation law REAL*8,intent(out) :: G12 ! thermal eigenstrain to model thermal expansion REAL*8,intent(out) :: thermat(3,3) ! prefactor for SSD evolution equation REAL*8,intent(out) :: gammast ! Burgers vectors REAL*8,intent(out) :: burgerv(nSys) ! critical resolved shear stress of slip systems REAL*8,intent(out) :: tauc(nSys) ! number of screw planes integer,intent(out) :: screwplanes ! critical resolved shear stress of twin systems REAL*8,intent(out) :: tauctwin(nTwin) ****************************************** ** The following parameters must be set ** ! material name ! more materials can be added ! by modifying this subroutine ! materials available are the following: ! 'zirconium', 'alphauranium', 'tungsten', 'copper', 'carbide', ! 'olivine', 'CMSX4' (Nickel alloy) character(len=*), parameter :: matname = 'alphauranium' ** End of parameters to set ** ****************************************** ! Burgers vector scalars REAL*8 :: burger1, burger2 ! Elastic constants scalars REAL*8 :: E1, E2, E3, G13, v12, v13 REAL*8 :: G23, v23 ! hcp: basal critical resolved shear stress REAL*8 :: XTAUC1 ! hcp: prismatic critical resolved shear stress REAL*8 :: XTAUC2 ! hcp: prismatic critical resolved shear stress REAL*8 :: XTAUC4 ! thermal expansion coefficients REAL*8 :: alpha1, alpha2, alpha3 ! temperature in Celsius REAL*8 :: TCelsius INTEGER :: i, j TCelsius = Temperature - 273.5 ! select crystal type SELECT CASE(iphase) case(0) !hcp SELECT CASE(matname) case('zirconium') ! Burgers vectors (um) burger1 = 2.28E-4 burger2 = 4.242E-4 ! sqrt(a^2 + c^2) caratio = 1.57 ! elastic constants (MPa units) E1 = 289.38E3 E3 = 335.17E3 G12 = 132.80E3 G13 = 162.50E3 v12 = 0.09 v13 = 0.04 ! CRSS (MPa units) XTAUC1 = 15.2 ! basal XTAUC2 = 67.7 ! prismatic XTAUC4 = 2000.0 ! pyramidal ! thermal expansion coefficients alpha1 = 9.5D-6 alpha2 = alpha1 alpha3 = 0.5895*alpha1 ! prefactor for SSD evolution equation gammast = 0.0 case default WRITE(*,*)"Not sure what material" END SELECT ! elastic constants based on crystal symmetry E2 = E1 G23 = G13 v23 = v13 ! assign Burgers vector scalars burgerv(1:6) = burger1 burgerv(7:12) = burger2 ! assign CRSS tauc(1:3) = XTAUC1 tauc(4:6) = XTAUC2 tauc(7:12) = XTAUC4 case(1) !bcc SELECT CASE(matname) case('tungsten') ! CRSS (MPa units) XTAUC1 = 360.0 ! Burgers vectors (um) burger1 = 2.74E-4 ! elastic constants (MPa units) E1 = 421E3 G12 = 164.4E3 v12 = 0.28 ! thermal expansion coefficients alpha1 = 9.5e-6 alpha2 = alpha1 alpha3 = 0.5895*alpha1 ! prefactor for SSD evolution equation gammast = 0.0 case default WRITE(*,*)"Not sure what material" END SELECT ! elastic constants based on crystal symmetry E2 = E1 E3 = E1 v13 = v12 v23 = v12 G13 = G12 G23 = G12 ! assign Burgers vector scalars burgerv = burger1 ! assign CRSS: same for all slip systems tauc = XTAUC1 case(2) !fcc SELECT CASE(matname) case('copper') ! CRSS (MPa units) XTAUC1 = 20.0 ! assign CRSS: same for all slip systems tauc = XTAUC1 ! Burgers vectors (um) burger1 = 2.55E-4 ! elastic constants (MPa units) E1 = 66.69E3 v12 = 0.4189 G12 = 75.4E3 ! thermal expansion coefficients alpha1 = 13.0e-6 alpha2 = alpha1 alpha3 = alpha1 ! prefactor for SSD evolution equation gammast = 0.0 case('CMSX4') c ! CRSS (MPa units) if (TCelsius .LE. 850.0) then ! Celsius units tauc=-0.000000001051*TCelsius**4 + + 0.000001644382*TCelsius**3 - + 0.000738679333*TCelsius**2 + 0.128385617901*TCelsius + + 446.547978926622 if (cubicslip == 1) then tauc(13:18)=-0.000000001077*TCelsius**4 + + 0.000001567820*TCelsius**3 - + 0.000686532147*TCelsius**2 - 0.074981918833*TCelsius + + 571.706771689334 end if else tauc=-1.1707*TCelsius + 1478.9 if (cubicslip == 1) then tauc(13:18)=-0.9097*TCelsius + 1183 end if end if ! end temperature check ! TCelsius dependent stiffness constants (MPa units) if (TCelsius .LE. 800.0) then ! Celsius units C11=-40.841*TCelsius+251300 C12=-14.269*TCelsius+160965 else C11=0.111364*TCelsius**2-295.136*TCelsius+382827.0 C12=-0.000375*TCelsius**3+1.3375*TCelsius**2 - + 1537.5*TCelsius+716000 end if ! end temperature check G12=-0.00002066*TCelsius**3+0.021718*TCelsius**2 - + 38.3179*TCelsius+129864 E1 = (C11-C12)*(C11+2*C12)/(C11+C12) v12 = E1*C12/((C11-C12)*(C11+2*C12)) ! temperature dependent thermal expansion coefficient alpha1 = 9.119E-9*TCelsius +1.0975E-5 ! prefactor for SSD evolution equation gammast = 0.0 case default WRITE(*,*)"Not sure what material" END SELECT screwplanes = 2 ! elastic constants based on crystal symmetry E2 = E1 E3 = E1 v13 = v12 v23 = v12 G13 = G12 G23 = G12 ! assign Burgers vector scalars burgerv = burger case(3) ! carbide SELECT CASE(matname) case('carbide') ! CRSS (MPa units) XTAUC1 = 2300.0 ! Burgers vectors (um) burger = 3.5072e-4 ! elastic constants (MPa units) E1 = 207.0E+4 v12 = 0.28 ! thermal expansion coefficients alpha1 = 4.5e-6 alpha2 = alpha1 alpha3 = alpha1 case default WRITE(*,*)"Not sure what material" END SELECT ! elastic constants based on crystal symmetry E3 = E1 v13 = v12 G12 = E1/(2.0*(1.0+v12)) G13 = G12 G23 = G12 ! assign Burgers vector scalars burgerv = burger ! assign CRSS: same for all slip systems tauc = XTAUC1 case(4) ! olivine SELECT CASE(matname) case('olivine') ! CRSS (MPa units) XTAUC1 = 2000.0 ! Burgers vectors (um) burger1 = 2.74E-4 ! elastic constants (MPa units) E1 = 421E3 v12 = 0.28 G12 = 164.4E3 ! thermal expansion coefficients alpha1 = 4.5e-6 alpha2 = alpha1 alpha3 = alpha1 case default WRITE(*,*)"Not sure what material" END SELECT ! elastic constants based on crystal symmetry E2 = E1 E3 = E1 v13 = v12 v23 = v12 G13 = G12 G23 = G12 ! assign Burgers vector scalars burgerv = burger1 ! assign CRSS tauc(1:7) = XTAUC1*(/2.0,1.0,1.0,1.5,4.0,4.0,1.0/) case(5) !alpha-Uranium SELECT CASE(matname) case('alphauranium') ! Burgers vectors (micrometre) burgerv(1:2) = 2.85e-4 burgerv(3:4) = 6.51e-4 burgerv(5:8) = 11.85e-4 ! Constant factor tau_0^alpha for CRSS (MPa) ! Calhoun 2013 values ! with temperature dependence as in Zecevic 2016 ! added after hardening is included tauc(1) = 24.5 tauc(2) = 85.5 tauc(3) = 166.5 tauc(4) = 166.5 tauc(5) = 235.0 tauc(6) = 235.0 tauc(7) = 235.0 tauc(8) = 235.0 ! Daniel 1971, Figure 9 ! softest value (MPa) if (twinon == 1) then tauctwin(nTwinStart) = 6.25 tauctwin(nTwinEnd) = 6.25 end if ! elastic moduli (MPa) and Poissons ratios ! see PRS Literature Review by Philip Earp ! Short Crack Propagation in Uranium, an Anisotropic Polycrystalline Metal ! temperature dependence according to Daniel 1971 E1 = 203665.987780 * (1.0 - 0.000935*(Temperature-293.0)) E2 = 148588.410104 * (1.0 - 0.000935*(Temperature-293.0)) E3 = 208768.267223 * (1.0 - 0.000935*(Temperature-293.0)) v12 = 0.242363 v13 = -0.016293 v23 = 0.387816 G12 = 74349.442379 * (1.0 - 0.000935*(Temperature-293.0)) G13 = 73421.439060 * (1.0 - 0.000935*(Temperature-293.0)) G23 = 124378.109453 * (1.0 - 0.000935*(Temperature-293.0)) ! define thermal expansion coefficients as a function of temperature ! Lloyd, Barrett, 1966 ! Thermal expansion of alpha Uranium ! Journal of Nuclear Materials 18 (1966) 55-59 alpha1 = 24.22e-6 - 9.83e-9 * Temperature + 46.02e-12 * Temperature * Temperature alpha2 = 3.07e-6 + 3.47e-9 * Temperature - 38.45e-12 * Temperature * Temperature alpha3 = 8.72e-6 + 37.04e-9 * Temperature + 9.08e-12 * Temperature * Temperature case default WRITE(*,*)"Not sure what material" END SELECT case default WRITE(*,*)"Not sure what crystal type" END SELECT C *** SET UP ELASTIC STIFFNESS MATRIX IN LATTICE SYSTEM *** C notation as in: https://en.wikipedia.org/wiki/Hooke%27s_law C However, the Voigt notation in Abaqus for strain and stress vectors C has the following order: C stress = (sigma11,sigma22,sigma33,tau12 tau13 tau23) C strain = (epsilon11,epsilon22,epsilon33,gamma12,gamma13,gamma23) compliance(1,1:3) = (/1./E1,-v12/E1,-v13/E1/) compliance(2,2:3) = (/1./E2,-v23/E2/) compliance(3,3:3) = (/1./E3/) compliance(4,4:4) = (/1./G12/) compliance(5,5:5) = (/1./G13/) compliance(6,6:6) = (/1./G23/) ! symmetrize compliance matrix DO i=2,6 DO j=1,i-1 compliance(i,j)=compliance(j,i) END DO END DO ! define thermal eigenstrain in the lattice system thermat(1,1) = alpha1 thermat(2,2) = alpha2 thermat(3,3) = alpha3 RETURN END ================================================ FILE: old version/kRhoTwinInit.f ================================================ ************************************ ** Initialize dislocation density ** ** and twin phase field ** ************************************ SUBROUTINE kRhoTwinInit(nTwin,M,NSTATV,STATEV,twinon,nTwinStart,nTwinEnd, + iphase,COORDS,nSys) INCLUDE 'ABA_PARAM.INC' ! dimension of the space INTEGER,intent(in) :: M ! total number of twin systems INTEGER,intent(in) :: nTwin ! twin activation flag INTEGER,intent(in) :: twinon ! the active twins are the ones in the ! interval [nTwinStart,nTwinEnd] in the ! twin system file INTEGER,intent(in) :: nTwinStart INTEGER,intent(in) :: nTwinEnd ! crystal type INTEGER,intent(in) :: iphase ! coordinates of this IP REAL*8,intent(in) :: COORDS(3) ! number of slip systems INTEGER,intent(in) :: nSys REAL*8,intent(inout) :: STATEV(NSTATV) ! initial random twin phase field real*8 :: TwinInitRand ! temporary twin directions and normals real*8 :: ttwindir(M) real*8 :: ttwinnor(M) ! rotation matrix needed to ! rotate twin directions and normals real*8 :: gmatinv(M,M) ! twin directions and normals real*8 :: dtwindir(nTwin,M) real*8 :: dtwinnor(nTwin,M) integer :: i, j ! twin directions are necessary ! to determine the Schmid tensor ! associated with the initial twins include 'xTwinDirAlphaUranium.f' ! twin normals are necessary ! to determine the position of an IP with ! respect to a formed twin include 'xTwinNormAlphaUranium.f' ! get rotation matrix from state variable DO i=1,3 DO j=1,3 gmatinv(i,j) = STATEV(j+(i-1)*3) END DO END DO if (twinon == 1) then ! twin active DO i=nTwinStart,nTwinEnd ! cycle over active twin systems ! initial random twin volume fraction CALL RANDOM_NUMBER(TwinInitRand) TwinInitRand = 0.001*TwinInitRand ! twin of 2nd system at 45 degrees if (i == nTwinEnd) then if (abs(COORDS(1)-COORDS(2)) < 1.414) then TwinInitRand = 0.49 end if end if ! rotate twin direction and normal ! to find the Schmid tensor of the twin in the ! sample reference frame, use matmul(M,v) function DO j=1,3 ttwindir(j) = dtwindir(i,j) ! already normalized ttwinnor(j) = dtwinnor(i,j) ! already normalized END DO ttwindir = matmul(gmatinv,ttwindir) ttwinnor = matmul(gmatinv,ttwinnor) ! initial plastic deformation ! found by tensor product of ttwindir and ttwinnor STATEV(81) = STATEV(81) + 0.299*ttwindir(1)*ttwinnor(1)*TwinInitRand STATEV(82) = STATEV(82) + 0.299*ttwindir(1)*ttwinnor(2)*TwinInitRand STATEV(83) = STATEV(83) + 0.299*ttwindir(1)*ttwinnor(3)*TwinInitRand STATEV(84) = STATEV(84) + 0.299*ttwindir(2)*ttwinnor(1)*TwinInitRand STATEV(85) = STATEV(85) + 0.299*ttwindir(2)*ttwinnor(2)*TwinInitRand STATEV(86) = STATEV(86) + 0.299*ttwindir(2)*ttwinnor(3)*TwinInitRand STATEV(87) = STATEV(87) + 0.299*ttwindir(3)*ttwinnor(1)*TwinInitRand STATEV(88) = STATEV(88) + 0.299*ttwindir(3)*ttwinnor(2)*TwinInitRand STATEV(89) = STATEV(89) + 0.299*ttwindir(3)*ttwinnor(3)*TwinInitRand ! random initial twin volume fraction STATEV(106+i) = TwinInitRand END DO ! end cycle over active twin systems end if ! twin active ! see: Grilli, Cocks, Tarleton ! A phase field model for the growth and characteristic thickness of deformation-induced twins ! Journal of the Mechanics and Physics of Solids, Volume 143, October 2020, 104061 if (iphase == 5) then ! initial substructure dislocation density, alpha-Uranium STATEV(65) = 4.0 ! initial forest dislocation densities do i=1,nSys STATEV(56+i) = 4.0 end do end if RETURN END ================================================ FILE: old version/kcurlET.f ================================================ C STRAIN GRADIENTS C ******************************************************************************* C * Compute Curl of a 2nd order tensor * C * As a vector, curl of row written in corresponding column * C * Full integration * C ******************************************************************************* SUBROUTINE kcurlET(curlFp,Fp,xnat,gauss,gausscoords) INCLUDE 'ABA_PARAM.INC' integer, parameter:: nnodes=8 !scalars real*8,intent(out) :: curlFP(8,9) !arrays gauss is gauss coordinates of isoparametric element in (s1,s2,s3) space real*8,intent(in) :: xnat(nnodes,3),gauss(nnodes,3), + gausscoords(3,nnodes), Fp(8,9) real*8 :: J(3,3),Jinv(3,3),dNds(nnodes,3),dndx(nnodes,3), + fnode(3,nnodes), fmat1(3,3),dmout(3,3),N(nnodes), z(3) !Extrapolation arrays real*8 :: z11i(nnodes),z11n(nnodes),z12i(nnodes),z12n(nnodes), + z13i(nnodes),z13n(nnodes),z21i(nnodes),z21n(nnodes),z22i(nnodes), + z22n(nnodes),z23i(nnodes),z23n(nnodes),z31i(nnodes),z31n(nnodes), + z32i(nnodes),z32n(nnodes),z33i(nnodes),z33n(nnodes), + Nmat(nnodes,nnodes),xnmatI(nnodes,nnodes) real(kind=8):: ri,si,ti,gr,gs,gt,dgr,dgs,dgt,xgauss fnode = 0.;fmat1 = 0.;Nmat=0.;xnmatI=0. z11i=0.;z11n=0.;z12i=0.;z12n=0.;z13i=0.;z13n=0. z21i=0.;z21n=0.;z22i=0.;z22n=0.;z23i=0.;z23n=0. z31i=0.;z31n=0.;z32i=0.;z32n=0.;z33i=0.;z33n=0. C C USE EIGHT GAUSS POINT FOR GRADIENTS C C LOOP OVER EIGHT INTEGRATION POINTS ! Evaluate curlT at the integration points, and simultaneously populate Nmat which will be later inverted for extrapolation purposes. do kint2 = 1,8 C SPECIFY z - INTEGRATION POINT z = gauss(kint2,1:3) C SHAPE FUNCTIONS AND DERIVATIVES do i = 1,nnodes ri = xnat(i,1) si = xnat(i,2) ti = xnat(i,3) !--------------------------- gr = 0.5*(1. + ri*z(1)) dgr = 0.5*ri !--------------------------- gs = 0.5*(1.+si*z(2)) dgs = 0.5*si !--------------------------- gt = 0.5*(1.+ti*z(3)) dgt = 0.5*ti !--------------------------- N(i) = gr*gs*gt !--------------------------- dNds(i, 1) = dgr*gs*gt ! dnds1(i) dNds(i, 2) = gr*dgs*gt ! dnds2(i) dNds(i, 3) = gr*gs*dgt ! dnds3(i) end do Nmat(kint2,:) = N C C SET UP JACOBIAN C J = matmul(gausscoords,dNds) C AND ITS INVERSE C call KDETER(J,det) if (abs(det) <= 1.0e-6 .or. det /= det) then !last part true if det=NaN dmout = 0.0 else call lapinverse(J,3,info,Jinv) if(info /= 0) then write(6,*) "inverse failure: J in kcurl" end if C dndx = matmul(dNds,Jinv) C C DETERMINE first column of curlf: Read row, to determine column. C C fnode(1:3, 1:8) = transpose(Fp(1:8,1:3)) fmat1 = matmul(fnode,dndx) !Curlfp at integeration points z11i(kint2) = fmat1(3,2) - fmat1(2,3) z21i(kint2) = fmat1(1,3) - fmat1(3,1) z31i(kint2) = fmat1(2,1) - fmat1(1,2) C C DETERMINE second column of curlf C C fnode(1:3, 1:8) = transpose(Fp(1:8,4:6)) fmat1 = matmul(fnode,dndx) !Curlfp at integeration points z12i(kint2) = fmat1(3,2) - fmat1(2,3) z22i(kint2) = fmat1(1,3) - fmat1(3,1) z32i(kint2) = fmat1(2,1) - fmat1(1,2) C C DETERMINE third column of curlf C C fnode(1:3, 1:8) = transpose(Fp(1:8,7:9)) fmat1 = matmul(fnode,dndx) !Curlfp at integeration points z13i(kint2) = fmat1(3,2) - fmat1(2,3) z23i(kint2) = fmat1(1,3) - fmat1(3,1) z33i(kint2) = fmat1(2,1) - fmat1(1,2) C end if end do !kint2 !All integration points done. Extrapolation begins call lapinverse(Nmat,nnodes,info2,xnmatI) if(info2 /= 0) then write(6,*) "inverse failure: xnmat in kcurl" end if z11n = matmul(xnmatI,z11i) z21n = matmul(xnmatI,z21i) z31n = matmul(xnmatI,z31i) z12n = matmul(xnmatI,z12i) z22n = matmul(xnmatI,z22i) z32n = matmul(xnmatI,z32i) z13n = matmul(xnmatI,z13i) z23n = matmul(xnmatI,z23i) z33n = matmul(xnmatI,z33i) !The storage is done by row. do kint=1,nnodes curlFp(kint,1) = z11n(kint) curlFp(kint,2) = z12n(kint) curlFp(kint,3) = z13n(kint) curlFp(kint,4) = z21n(kint) curlFp(kint,5) = z22n(kint) curlFp(kint,6) = z23n(kint) curlFp(kint,7) = z31n(kint) curlFp(kint,8) = z32n(kint) curlFp(kint,9) = z33n(kint) end do !kint C RETURN END C C ================================================ FILE: old version/kdirns.f ================================================ subroutine kdirns(xrot,TwinRot,iphase,L,nTwin, + ddir1,dnor1,dtwindir1,dtwinnor1, + caratio,cubicslip) implicit none integer :: i,j,k,slip integer,parameter :: m = 3 integer,intent(in):: iphase,L,nTwin real*8,intent(in):: xrot(m,m), TwinRot(nTwin,m,m), caratio ! activate cubic slip systems for CMSX-4 alloy INTEGER,intent(in) :: cubicslip real*8,intent(out) :: ddir1(L,m),dnor1(L,m) real*8,intent(out) :: dtwindir1(nTwin,m),dtwinnor1(nTwin,m) real(kind=8) :: ddir(L,m),dnor(L,m) real(kind=8) :: dtwindir(nTwin,m),dtwinnor(nTwin,m) real(kind=8) :: tdir(m),tnor(m),ttwindir(m),ttwinnor(m) real(kind=8) :: tdir1(m),tnor1(m),ttwindir1(m),ttwinnor1(m) real(kind=8):: xdirmag,xnormag,xtwindirmag,xtwinnormag ddir1 = 0.0; dnor1 = 0.0 if(iphase .eq. 0) then !hcp include 'xDir0ET.f' include 'xNorm0ET.f' else if(iphase .eq. 1) then !bcc (24/48) include 'xDir1.f' include 'xNorm1.f' else if(iphase .eq. 2) then !fcc (12) if (cubicslip == 0) then ! cubic slip include 'xDir2.f' include 'xNorm2.f' else include 'xDir2c.f' include 'xNorm2c.f' end if else if (iphase .eq. 4) then ! olivine (7) include 'xDir4.f' include 'xNorm4.f' else if (iphase .eq. 5) then ! alpha-Uranium (8) include 'xDirAlphaUranium.f' include 'xNormAlphaUranium.f' include 'xTwinDirAlphaUranium.f' include 'xTwinNormAlphaUranium.f' end if do k=1,L ! rotate slip directions (without twinning) do i=1,m tdir(i) = ddir(k,i) tnor(i) = dnor(k,i) end do if(iphase .eq. 0) then !hcp ET added tdir(3) = tdir(3)*caratio tnor(3) = tnor(3)/caratio end if tdir1 = matmul(xrot,tdir) tnor1 = matmul(xrot,tnor) xdirmag = sqrt(dot_product(tdir1,tdir1)) xnormag = sqrt(dot_product(tnor1,tnor1)) do i=1,m ddir1(k,i) = tdir1(i)/xdirmag dnor1(k,i) = tnor1(i)/xnormag end do end do if (iphase .eq. 5) then ! alpha-Uranium (2 twin systems) do k=1,nTwin ! rotate twin direction and normal with gmatinv do i=1,m ttwindir(i) = dtwindir(k,i) ttwinnor(i) = dtwinnor(k,i) end do ttwindir1 = matmul(xrot,ttwindir) ! rotation with gmatinv ttwinnor1 = matmul(xrot,ttwinnor) xtwindirmag = sqrt(dot_product(ttwindir1,ttwindir1)) xtwinnormag = sqrt(dot_product(ttwinnor1,ttwinnor1)) do i=1,m ! assign value to output dtwindir1(k,i) = ttwindir1(i)/xtwindirmag dtwinnor1(k,i) = ttwinnor1(i)/xtwinnormag end do end do end if return end ================================================ FILE: old version/kgndl2ET.f ================================================ !Least Squares Density Minimisation subroutine kgndl2ET(curlFp,xNin,xDin,tau,burgerv,iphase,ne,ns, + screwplanes,jelem,kint,time,gndall,gndcut,gndmob) ! implicit real*8(a-h,o-z) implicit none integer :: i,m,n,ialloc,info real*8 :: det, costheta, sumtau real*8,parameter :: zero = 1.0e-6 integer,intent(in):: ne,iphase,jelem,kint,ns,screwplanes real*8,intent(in) :: time(2) real*8,intent(in) :: curlFp(3,3),xNin(ne,3),xDin(ne,3),tau(ne), + burgerv(ne) real*8,dimension(3,3) :: xrot,btdyad,bsdyad real*8,dimension(3) :: tempn,temps,tempt real*8,dimension(9) :: btvec,bsvec,gv real*8,dimension(ne+ns,3) :: xLine real*8, dimension(ne,ne+ns) :: tdotn !real*8,dimension(:,:),allocatable :: A,A1,A2,Ainv !real*8,dimension(:),allocatable :: xvec,absgnds real*8,dimension(9,ne+ns) :: A real*8,dimension(ne+ns,9) :: Ainv real*8,dimension(9,9) :: A1, A2 real*8,dimension(ne+ns):: xvec !real*8,dimension(:),allocatable :: xvec real*8, dimension(ne) :: gnde real*8, dimension(ns) :: gnds integer,dimension(ns) :: screw integer, dimension(ne) :: stype integer, dimension(ne, screwplanes-1) :: sgroup character (len=*), parameter :: fmt2 = "(24(' ',(I2,1X)))", + fmt3="(3(' ',(ES11.3,1X)))", + fmt9 = "(9(' ',(ES11.3,1X)))",fmt33 = "(33(' ',(ES11.3,1X)))" real*8,intent(out) :: gndall(ne+ns), gndcut(ne), gndmob integer :: j !EXTERNAL DGELSD !select case(iphase) !case (0); ns = 9; ne=12; !HCP !case (1); ns = 4; ne=24 !BCC !case (2); ns = 6; ne=12 !FCC !case (4); ns = 2; ne=7 !olivine !end select !allocate(absgnds(ns), STAT=ialloc) select case(iphase) !build up the screw slip systems case(0) !HCP ! slip screw(1) = 1 screw(2) = 2 screw(3) = 3 ! screw(4) = 7 screw(5) = 8 screw(6) = 9 screw(7) = 10 screw(8) = 11 screw(9) = 12 case(1) ! BCC !a/2<111> screw(1) = 1 screw(2) = 2 screw(3) = 3 screw(4) = 6 case(2) ! FCC screw(1) = 1 screw(2) = 2 screw(3) = 3 screw(4) = 4 screw(5) = 6 screw(6) = 8 case(4) ! olivine screw(1) = 1 screw(2) = 3 end select gnde = 0.; gnds = 0.; gndall = 0.0; gndcut = 0.0; gndmob =0.0 !Compute the geometric dislocation tensor gv = reshape(curlFp,(/9/))!This happens by column. !===BEGIN LONG IF if(maxval(abs(gv)) <= zero) then !Trying to handle the situation when G = 0. gnde = 0.; gnds = 0. else m = 9; n = ne+ns !allocate(A(m,n),Ainv(n,m),xvec(n),STAT=ialloc) A = 0.; Ainv = 0.; xvec=0. !m < n !right inverse !allocate(A1(m,m),A2(m,m),STAT=ialloc) A1=0.; A2=0. !Construct the matrix of dyadics !Edge do i = 1,ne tempn = xNin(i,:) temps = xDin(i,:) CALL KVECPROD(temps,tempn,tempt) btdyad = spread(tempt,2,3)*spread(temps,1,3)*burgerv(i) A(:,i) = reshape(btdyad,(/9/)) xLine(i,:) = tempt end do do i = 1,ns j = screw(i) temps = xDin(j,:) tempt = temps btdyad = spread(tempt,2,3)*spread(temps,1,3)*burgerv(i) A(:,ne+i) = reshape(btdyad,(/9/)) xLine(ne+i,:) = tempt end do ! if ((jelem == 7910 .or. jelem == 8010) .and. kint == 6) then ! write(6,*) "A, ne",ubound(A,1),ubound(A,2),ne ! write(6,fmt33) (A(k,:),k=1,ubound(A,1)) !Print rows ! write(6,*) ! end if !! call ksvd(A,m,n,Ainv) ! ! m < n right inverse A1 = matmul(A,transpose(A)) ![9x9] = [9xn][nx9] call lapinverse(A1,m,info,A2) if(info /= 0) write(*,*) "inverse failure: A1 in kgndl2" Ainv = matmul(transpose(A),A2) ![nx9]=[nx9][9x9] !three-ifs solution xvec = matmul(Ainv,gv) ![nx1] = [nx9][9x1] do i=1,ne+ns !ubound(xvec,1) if (xvec(i) /= xvec(i)) then xvec(i) = 0.0 write(*,*) "error in kgndl2 jelem,kint,time",jelem,kint,time end if end do !Density to output gndall = sqrt(xvec*xvec) !sqrt(gnde*gnde +gnds*gnds) !deallocate(A,A1,A2,Ainv,xvec) where(gndall > 1.0E7) gndall = 1.0E7 !catching infinities. 1.0e7 for microns, 1.0e19 for metres. do i =1,ne tempn = xNin(i,:) do j=1,n tempt = xLine(j,:) CALL KDOTPROD(tempt,tempn,costheta) tdotn(i,j) = costheta end do end do gndcut= matmul(tdotn,gndall) gnde = gndall(1:ne) gnds = gndall(ne:ne+ns) !do i =1,ne ! j = stype(i) ! ! sumtau = tau(i) ! do n=1,screwplanes-1 ! other possible slip planes which screw could glide on ! sumtau = sumtau + tau(sgroup(i,n)) ! end do ! ! gndmob(i) = gnde(i) + gnds(j)*tau(i)/sumtau !end do !Ben's experimental data storage groups !absgnde = sqrt(gnde*gnde); absgnds = sqrt(gnds*gnds) !if(iphase == 0) then !!edge !abasedge = sum(absgnde(1:3)) !aprismedge = sum(absgnde(4:6)) !apyramedge = sum(absgnde(7:12)) !capyramedge = sum(absgnde(13:18)) !!screw !ascrew = sum(absgnds(1:3)) !capyramscrew = sum(absgnds(4:9)) !end if ! !===END LONG IF end if return end ================================================ FILE: old version/kmat.f ================================================ ******************************************** ** KMAT calculates the material behaviour ** ** Global stiffness matrix and stress ** ******************************************** SUBROUTINE kmat(dtime,nsvars,usvars,xI,jelem,kint,time,F, + L,iphase,irradiate,C,stressvec,dstressinc,totstran,dtotstran, + TEMP,DTEMP,vms,pdot,pnewdt,gndon,nSys,nTwin,ns,coords, + TwinIntegral,nTwinStart,nTwinEnd,twinon,cubicslip) !INCLUDE 'ABA_PARAM.INC' ! number of Abaqus state variables INTEGER,intent(in) :: nsvars ! element number INTEGER,intent(in) :: jelem ! integration point number INTEGER,intent(in) :: kint ! crystal type INTEGER,intent(in) :: iphase ! activate irradiation effect INTEGER,intent(in) :: irradiate ! GND activation flag INTEGER,intent(in) :: gndon ! number of slip systems INTEGER,intent(in) :: nSys ! total number of twin systems INTEGER,intent(in) :: nTwin ! number of screw dislocation systems INTEGER,intent(in) :: ns ! the active twins are the ones in the ! interval [nTwinStart,nTwinEnd] in the ! twin system file INTEGER,intent(in) :: nTwinStart,nTwinEnd ! twin systems activation flag INTEGER,intent(in) :: twinon ! activate cubic slip systems for CMSX-4 alloy INTEGER,intent(in) :: cubicslip ! time increment REAL*8,intent(in) :: dtime ! coordinates REAL*8,intent(in) :: coords(3) ! average of the twin volume fraction ! over the neighbourhood ! two twin systems REAL*8,intent(in) :: TwinIntegral(nTwin) ! Abaqus state variables REAL*8,intent(inout) :: usvars(nsvars) ! time: time(1) = step time; time(2) = total time REAL*8,intent(in) :: time(2) ! deformation gradient REAL*8,intent(in) :: F(3,3) ! velocity gradient REAL*8,intent(in) :: L(3,3) ! identity matrix REAL*8,intent(in) :: xI(3,3) ! stress vector (Cauchy, Abaqus notation) ! stressvec = (sigma11,sigma22,sigma33,tau12 tau13 tau23) REAL*8,intent(out) :: stressvec(6) ! Stiffness matrix (Jacobian, Abaqus notation) REAL*8,intent(out) :: C(6,6) ! Von Mises invariant plastic strain rate REAL*8,intent(out) :: pdot ! Von Mises stress REAL*8,intent(out) :: vms ****************************************** ** The following parameters must be set ** ! activate debug mode with Visual Studio ! 0 = off ; 1 = on integer, parameter :: debug = 0 ! select slip law ! 0 = Original slip rule with no GND coupling i.e. using alpha and beta ! 5 = Original slip rule with GND coupling ! 6 = Slip rule with constants alpha and beta: alpha.sinh[ beta(tau-tauc)sgn(tau) ] ! 7 = Powerlaw plasticity ! 8 = Powerlaw plasticity and creep for Ni alloys integer, parameter :: kslip = 8 ! initial temperature and temperature rate real*8, parameter :: Temperature = 293.0 real*8, parameter :: ytemprate = 0.0 ! homogenize twin model ! 0 = use discrete twin model ! 1 = use homogenised twin model integer, parameter :: homogtwin = 0 ! accuracy of the crystal plasticity Newton-Raphson loop ! WARNING: change only if you know what you are doing real*8, parameter :: xacc = 1.e-8 ! max number of iterations of the Newton-Raphson loop ! WARNING: change only if you know what you are doing integer, parameter :: maxNRiter = 1000 ! use temperature provided by Abaqus solver ! through the TEMP and DTEMP variables integer, parameter :: use_abaqus_temperature = 0 ! 0 = temperature in K ! 1 = temperature in C integer, parameter :: temp_in_celsius = 0 ! 1 = activate creep for CMSX-4 alloy integer, parameter :: creep = 1 ** End of parameters to set ** ****************************************** ! dimension of the space INTEGER, parameter :: M=3,N=3 ! dimension of Voigt vectors INTEGER, parameter :: KM=6,KN=6 ! stress matrix in the Newton-Raphson loop REAL*8 :: stressM(3,3) ! plastic strain increment in the Newton-Raphson loop REAL*8 :: plasStrainInc(3,3),plasStrainInc2(6) ! temporary variables REAL*8 :: prod(M),prod6(6,6) ! temporary normals and directions of slip/twin systems REAL*8 :: tempNorm(M),tempDir(M) ! plastic strain rate REAL*8 :: plasStrainRate(3,3) ! plastic velocity gradient REAL*8 :: Lp(3,3) ! cumulative plastic strain (for output) ! vector and scalar REAL*8 :: totplasstran(6), p ! cumulative plastic strain on each slip system, signed REAL*8 :: slipsysplasstran(nSys) ! identity matrix REAL*8 :: xIden6(KM,KN) ! elastic velocity gradient REAL*8 :: Le(3,3) ! derivatives of the plastic velocity gradient ! with respect to the stress components REAL*8 :: tmat(KM,KN) ! trial stress, starting point of the ! Newton-Raphson loop, vector and matrix REAL*8 :: trialstress(6),trialstressM(3,3) ! Jacobian of the Newton-Raphson loop ! and its inverse REAL*8 :: xjfai(KM,KN),xjfaiinv(KM,KN) ! residual of the Newton-Raphson loop ! vector and scalar REAL*8 :: faivalue,fai(6) ! stress increment of the Newton-Raphson loop REAL*8 :: dstressinc(6) ! stress at the current increment ! given back to Abaqus at the end of iteration ! matrix and vector REAL*8 :: xstressmdef(M,N),xstressdef(6) ! elastic stiffness matrix in the crystal reference frame REAL*8 :: xStiff(6,6) ! elastic stiffness matrix in the sample reference frame REAL*8 :: xStiffdef(6,6) ! elastic spin (W_e) REAL*8 :: elasspin(3,3) ! temporary array for elastic stiffness calculation REAL*8 :: tSig(6,6),tSigTranspose(6,6) ! rotation matrix from input file ! current and previous increment REAL*8 :: gmatinv(3,3),gmatinvnew(3,3),gmatinvold(3,3) ! deviatoric stress (for output) REAL*8 :: devstress(3,3) ! elastic compliance matrix in the crystal reference frame REAL*8 :: compliance(6,6) ! temporary variables for plastic deformation update REAL*8 :: print2(3,3),print3(3,3) ! total strain increment ! vector and matrix REAL*8 :: dtotstran(6),tempstrain(3,3) ! cumulative total strain (for output) REAL*8 :: totstran(6) ! curl of the plastic deformation gradient REAL*8 :: curlfp(3,3) ! elastic Green-Lagrange strain (for output) REAL*8 :: EECrys(3,3) ! spin W (from total velocity gradient) REAL*8 :: spin(3,3) ! plastic deformation gradient ! current and previous increment ! and inverse REAL*8 :: Fp(3,3),fpold(3,3),Fpinv(3,3) ! elastic deformation gradient ! and inverse REAL*8 :: Fe(3,3),Feinv(3,3) ! thermal eigenstrain to model thermal expansion ! Voigt vector, matrix in the crystal reference frame ! matrix in the sample reference frame REAL*8 :: dstranth(6),thermat(3,3),expanse33(3,3) ! rotated slip normals and directions (gmatinv) REAL*8,dimension(nSys,M) :: xNorm,xDir ! resolved shear stress on slip system ! and its sign REAL*8,dimension(nSys) :: tau REAL*8,dimension(nSys) :: signtau ! plastic shear rate on slip systems REAL*8,dimension(nSys) :: gammadot ! GND density (immobile, mobile) REAL*8,dimension(nSys) :: gndcut REAL*8,dimension(nSys) :: gndmob ! Burgers vectors REAL*8,dimension(nSys) :: burgerv ! critical resolved shear stress of slip systems REAL*8,dimension(nSys) :: tauc ! resolved shear stress, twin systems REAL*8,dimension(nTwin) :: tautwin ! sign of the resolved shear stress of twin systems REAL*8,dimension(nTwin) :: signtautwin ! critical resolved shear stress of twin systems REAL*8,dimension(nTwin) :: tauctwin ! rotated twin normal and direction (gmatinv) REAL*8,dimension(nTwin,M) :: xTwinNorm,xTwinDir ! plastic shear rate due to twinning REAL*8 :: gammatwindot(nTwin) ! GND density edge and screw systems REAL*8,dimension(nSys+ns) :: gndall ! scalar total GND density REAL*8 :: gndtot ! prefactor for SSD evolution equation REAL*8 :: gammast REAL*8 :: LpFeinv(3,3), matrix(3,3), update(3,3) ! number of screw planes integer :: screwplanes ! current temperature ! modified by temperature rate REAL*8 :: CurrentTemperature ! substructure dislocation density REAL*8 :: rhosub ! forest dislocation density REAL*8 :: rhofor(nSys) ! total dislocation density REAL*8 :: rhototal ! total SSD density REAL*8 :: rhossd ! ratio: resolved shear stress for slip / CRSS for slip REAL*8 :: xtau ! twin volume fraction REAL*8 :: twinvolfrac(nTwin) ! total twin volume fraction REAL*8 :: twinvolfractotal ! ratio: resolved sheat stress for twin / CRSS for twin REAL*8 :: xtautwin ! rotation matrix due to twinning in the lattice system ! and temporary matrix REAL*8 :: TwinRot(nTwin,3,3) REAL*8 :: TwinRotTemp(3,3) ! stiffness tensor after twinning ! and temporary matrix REAL*8 :: xStifftwin(6,6) REAL*8 :: xStifftwinTemp(6,6) ! c/a ratio for hcp crystals REAL*8 :: caratio ! shear modulus for Taylor dislocation law REAL*8 :: G12 ! crystallographic slip ! needed for model with irradiation REAL*8 :: slip ! increase in tauc due to solute force REAL*8 :: tauSolute ! temporary variable for determinant REAL*8 :: deter ! flag to decide if crystal plasticity ! Newton-Raphson loop starts integer :: EnterNRLoop ! iteration number of the Newton-Raphson loop integer :: iter ! debug temporary variable integer :: debugWait integer :: i, j, k C *** INITIALIZE ZERO ARRAYS *** prod=0. tSig=0. xjfai=0. xjfaiinv=0. totstran = 0.0 totplasstran = 0.0 trialstress=0. devstress=0. spin=0. tempstrain=0. Fe=0. Fp=0. gmatinvnew=0. gmatinv=0. dstranth=0. Lp = 0. plasStrainRate = 0. plasStrainInc2=0. xStiff=0.0 xStiffdef=0.0 C=0.0 trialstressM=0.0 tmat=0.0; plasStrainInc=0. stressvec=0. fai=0. dstressinc=0. xIden6=0.; xRot=0.; compliance=0. Le = 0. thermat =0. expanse33=0. curlfp=0. gammadot=0. xNorm=0. xDir=0. tau=0. gndcut=0. gndall=0. tautwin = 0.0 gndmob=0. gammatwindot = 0.0 gndtot=0. xTwinNorm = 0.0 xTwinDir = 0.0 twinvolfrac(1:nTwin) = 0.0 twinvolfractotal = 0.0 caratio = 0.0 G12 = 0.0 gammast = 0.0 burgerv = 0.0 tauc = 0.0 screwplanes = 0 tauctwin(1:nTwin) = 0.0 rhossd = 0.0 pdot = 0.0 ! define identity matrix DO I=1,KM; xIden6(I,I)=1.; END DO ! initialize sign of the resolved shear stress signtau=1. signtautwin=1.0 ! calculate temperature if (use_abaqus_temperature == 1) then ! use Abaqus temperature CurrentTemperature = TEMP else CurrentTemperature = Temperature + ytemprate*time(2) end if ! add 273.15 if temperature is in Celsius if (temp_in_celsius == 1) then CurrentTemperature = CurrentTemperature + 273.15 end if ! set materials constants call kMaterialParam(iphase,caratio,compliance,G12,thermat, + gammast,burgerv,nSys,tauc,screwplanes,CurrentTemperature, + tauctwin,nTwin,twinon,nTwinStart,nTwinEnd,TwinIntegral, + cubicslip) ! define rotation matrices due to twinning (in the lattice system) TwinRot = 0.0 if (twinon == 1) then CALL ktwinrot(nTwin,TwinRot) end if TwinRotTemp = 0.0 ! find stiffness matrix CALL lapinverse(compliance,6,info,xStiff) C *** INITIALIZE USER ARRAYS FROM STATE VARIABLES *** ! get rotation matrix DO i=1,3 DO j=1,3 gmatinv(i,j) = usvars(j+(i-1)*3) END DO END DO gmatinvold = gmatinv ! get cumulative plastic strain rate scalar p = usvars(10) ! get cumulative plastic strain rate vector DO i=1,6 totplasstran(i) = usvars(10+i) END DO ! get cumulative total strain DO i=1,6 totstran(i) = usvars(16+i) END DO ! get cumulative plastic strain on each slip system DO i=1,nSys slipsysplasstran(i) = usvars(89+i) END DO ! initialize stress as the values at previous increment DO i=1,6 xstressdef(i) = usvars(47+i) END DO ! get scalar total GND density gndtot = usvars(26) ! get SSD dislocation density rhossd = usvars(54) ! get immobile GND density DO i=1,nSys gndcut(i) = usvars(56+i) END DO ! model with forest and substructure dislocation densities ! R.J. McCabe, L. Capolungo, P.E. Marshall, C.M. Cady, C.N. Tomé ! Deformation of wrought uranium: Experiments and modeling ! Acta Materialia 58 (2010) 5447–5459 if (iphase == 5) then rhototal = 0.0 DO i=1,nSys rhofor(i) = usvars(56+i) rhototal = rhototal + rhofor(i) END DO rhosub = usvars(65) rhototal = rhototal + rhosub if (twinon == 1) then ! twin active ! initialize twin volume fraction DO i=1,nTwin twinvolfrac(i) = usvars(106+i) END DO DO i=1,nTwin ! calculate total twin volume fraction twinvolfractotal = twinvolfractotal + twinvolfrac(i) END DO twinvolfractotal = min(twinvolfractotal,1.0) end if ! twin active end if ! get plastic deformation gradient DO i=1,3 DO j=1,3 Fp(i,j) = usvars(80+j+((i-1)*3)) END DO END DO ! get curl of the plastic deformation gradient DO i=1,3 DO j=1,3 curlfp(i,j) = usvars(37+j+(i-1)*3) END DO END DO ! variables needed for irradiation model (softening) ! crystallographic slip slip = usvars(35) ! increase in tauc due to solute force tauSolute = usvars(36) ! calculates CRSS of slip and twin systems call kCRSS(iphase,tauc,nSys,G12,burgerv,gndtot,irradiate, + tauSolute,gndcut,rhofor,rhosub,CurrentTemperature,homogtwin, + nTwinStart,nTwinEnd,twinvolfrac,tauctwin,nTwin,TwinIntegral, + twinvolfractotal,twinon) ! Reorient stiffness tensor if twins are present ! weighting using twin volume fraction ! calculation in the lattice reference frame ! initialization of the temporary variable xStifftwin = 0.0 xStifftwinTemp = 0.0 if (twinon == 1) then ! twin active DO k=nTwinStart,nTwinEnd DO i=1,M ! get rotation matrix for this twin DO j=1,N TwinRotTemp(i,j) = TwinRot(k,i,j) END DO END DO CALL rotord4sig(TwinRotTemp,tSig) ! rotate stiffness tensor prod6 = matmul(tSig,xStiff) tSigTranspose = transpose(tSig) xStifftwinTemp = twinvolfrac(k)*matmul(prod6,tSigTranspose) xStifftwin = xStifftwin + xStifftwinTemp END DO ! end of twin system end if ! twin active xStiff = (1.0 - twinvolfractotal) * xStiff + xStifftwin C *** DIRECTIONS FROM LATTICE TO DEFORMED AND TWINNED SYSTEM *** CALL kdirns(gmatinv,TwinRot,iphase,nSys,nTwin,xDir,xNorm, + xTwinDir,xTwinNorm,caratio,cubicslip) C *** STIFFNESS FROM LATTICE TO DEFORMED SYSTEM *** CALL rotord4sig(gmatinv,tSig) prod6 = matmul(tSig,xStiff) tSigTranspose = transpose(tSig) xStiffdef = matmul(prod6,tSigtranspose) ! rotate the thermal eigenstrain in the sample reference system expanse33 = matmul(matmul(gmatinv,thermat),transpose(gmatinv)) if (use_abaqus_temperature == 1) then expanse33 = expanse33*DTEMP !dstrain = alpha*dT else expanse33 = expanse33*ytemprate*dtime !dstrain = alpha*dT end if CALL kmatvec6(expanse33,dstranth) dstranth(4:6) = 2.0*dstranth(4:6) C *** DETERMINE INCREMENT IN TOTAL STRAIN (6X1) *** tempstrain=(L+transpose(L))*0.5*dtime spin=(L-transpose(L))*0.5 CALL kmatvec6(tempstrain,dtotstran) dtotstran(4:6) = 2.0*dtotstran(4:6) C *** COMPUTE TRIAL STRESS *** DO i=1,6 stressvec(i) = xstressdef(i) ! old stress END DO trialstress = stressvec + matmul(xStiffdef,dtotstran) - + matmul(xStiffdef,dstranth) CALL kvecmat6(trialstress,trialstressM) CALL kvecmat6(stressvec,stressM) trialstressM = trialstressM + (matmul(spin,stressM) - + matmul(stressM,spin))*dtime C *** CALCULATE RESOLVED SHEAR STRESS ON SLIP AND TWIN SYSTEMS *** C *** NOW CALCULATED USING THE STRESS OF THE PREVIOUS INCREMENT *** C *** AS TRIAL STRESS *** DO I=1,nSys tempNorm = xNorm(I,:); tempDir = xDir(I,:) prod = matmul(stressM,tempNorm) tau(I)= dot_product(prod,tempDir) signtau(I) = 1.d0 IF(tau(I) .LT. 0.0) THEN tau(I) = -1.E0*tau(I) ! always positive RSS signtau(I) = -1.d0 ! carry info about the sign END IF END DO if (twinon == 1) then ! twin active DO I=nTwinStart,nTwinEnd ! here only homogenized stress is considered tempNorm = xTwinNorm(I,:); tempDir = xTwinDir(I,:) prod = matmul(stressM,tempNorm) tautwin(I) = dot_product(prod,tempDir) signtautwin(I) = 1.d0 IF(tautwin(I) .LT. 0.0) THEN tautwin(I) = 0.0 ! twinning cannot be induced with negative RSS (no detwinning) END IF END DO end if ! twin active xtau = maxval(tau/tauc) xtautwin = maxval(tautwin/tauctwin) C *** PLASTIC DEFORMATION *** ! decide if Newton Raphson loop starts EnterNRLoop = 0 if (xtau > 0.0 .or. xtautwin >= 0.5) then ! stress condition EnterNRLoop = 1 else ! twinvolfrac > 0.5 is needed for twin completion ! in the discrete twin model if (twinon == 1) then if (twinvolfrac(nTwinStart) > 0.5 + .or. twinvolfrac(nTwinEnd) > 0.5) then EnterNRLoop = 1 end if end if end if ! stress condition IF (EnterNRLoop == 1) THEN do while (debug == 1 .and. kint == 1) debugwait = 0 end do faivalue=1. iter=0 fpold = Fp C *** USE NEWTON METHOD TO DETERMINE STRESS INCREMENT *** DO WHILE (faivalue .gt. xacc) iter=iter+1 !============================================================================ ! Slip rule: ! Returns Lp and tmat required to define the material jacobian. !============================================================================ IF (kslip == 0) THEN ! Original slip rule with no GND coupling i.e. using alpha and beta CALL kslip0(xNorm,xDir,tau,tauc,caratio,dtime,nSys,0.0,iphase, + Lp,tmat) ELSE IF (kslip == 5) THEN ! Original slip rule with GND coupling CALL kslip5ET(xNorm,xDir,tau,signtau,tauc,burgerv,rhossd,gndtot, + gndall,gndcut,gndmob,dtime,nSys,ns,iphase,Lp,tmat) ELSE IF (kslip == 6) THEN ! updated slip rule with GND coupling CALL kslip6ET(xNorm,xDir,tau,signtau,tauc,burgerv,dtime,nSys, + iphase,irradiate,gndcut,gndtot,rhossd,Lp,tmat,gammaDot) ELSE IF (kslip == 7) THEN ! Powerlaw plasticity, orthorombic alpha-Uranium CALL kslipPowerLaw(xNorm,xDir,xTwinNorm,xTwinDir, + tau,tautwin,signtau,signtautwin, + tauc,tauctwin,burgerv,dtime,nSys, + nTwin,iphase,irradiate,gndcut,gndtot, + rhossd,twinvolfrac,twinvolfractotal, + Lp,tmat,gammaDot,gammatwindot,twinon, + nTwinStart,nTwinEnd) ELSE IF (kslip == 8) THEN ! Powerlaw plasticity and creep CALL kslipCreepPowerLaw(xNorm,xDir,tau,signtau,tauc, + dtime,nSys,iphase,CurrentTemperature,Lp, + tmat,gammaDot,cubicslip,creep,slipsysplasstran) END IF if(any(tmat /= tmat)) then call Mutexlock( 10 ) ! lock Mutex #5 pnewdt = 0.5 ! if sinh( ) has probably blown up then try again with smaller dt write(*,*) "*** WARNING tmat = NaN: jelem, kint, time: ", jelem, kint, time do while (debug == 1) debugWait = 1! wait here to attach debugger end do call MutexUnlock( 10 ) ! unlock Mutex #5 return end if !============================================================================ C *** DETERMINE PLASTIC STRAIN INCREMENTS plasStrainInc = (Lp+transpose(Lp))*0.5*dtime CALL kmatvec6(plasStrainInc,plasStrainInc2) plasStrainInc2(4:6) = 2.0*plasStrainInc2(4:6) C *** CALCULATE THE STRESS INCREMENT *** xjfai = xIden6 + matmul(xStiffdef,tmat) ! Jacobian of the Newton loop (see Dunne, Rugg, Walker, 2007) CALL lapinverse(xjfai,6,info3,xjfaiinv) ! invert Jacobian IF(info3 /= 0) write(6,*) "inverse failure: xjfai in kmat" ! trial stress here is in the assumption of full elastic increment ! C (epsilon_total - epsilon_plastic) = C ( epsilon_elastic ) = stress ! therefore the algorithm is finding the zero of "fai" ! and the variable that is updated at each iteration is "stressvec" fai = trialstress - stressvec - matmul(xStiffdef,plasStrainInc2) dstressinc = matmul(xjfaiinv,fai) stressvec = stressvec + dstressinc CALL kvecmat6(stressvec,stressM) faivalue = sqrt(sum(fai*fai)) C *** UPDATE RESOLVED SHEAR STRESS ACCORDING TO NEW STRESS *** DO I=1,nSys tempNorm = xNorm(I,:); tempDir = xDir(I,:) prod = matmul(stressM,tempNorm) tau(I)= dot_product(prod,tempDir) signtau(I) = 1.d0 IF(tau(I) < 0.0) THEN tau(I) = -1.E0*tau(I) signtau(I) = -1.d0 END IF END DO if (twinon == 1) then ! twin active DO I=nTwinStart,nTwinEnd ! here only homogenized stress is considered tempNorm = xTwinNorm(I,:); tempDir = xTwinDir(I,:) prod = matmul(stressM,tempNorm) tautwin(I) = dot_product(prod,tempDir) signtautwin(I) = 1.d0 IF(tautwin(I) .LT. 0.0) THEN tautwin(I) = 0.0 ! twinning cannot be induced with negative RSS (no detwinning) END IF END DO end if ! twin active xtau = maxval(tau/tauc) xtautwin = maxval(tautwin/tauctwin) IF (iter .gt. maxNRiter) THEN call Mutexlock( 11 ) ! unlock Mutex pnewdt = 0.5 WRITE(*,*) "WARNING NEWTON LOOP NOT CONVERGED: ", + jelem, kint, time(1) WRITE(*,*) "fai", fai WRITE(*,*) "stressM", stressM call MutexUnlock( 11 ) ! unlock Mutex return END IF !!*** THE END OF NEWTON ITERATION *** END DO C *** NOW CALCULATE THE JACOBIAN*** C = matmul(xjfaiinv,xStiffdef) ! assign the updated stress xstressmdef = stressM C *** UPDATE OUTPUT VARIABLES *** plasStrainrate=(Lp+transpose(Lp))*0.5 C *** UPDATE PLASTIC DEFORMATION GRADIENT print2 = 0.; print3 = 0. print2 = xI - Lp*dtime CALL kdeter(print2,deter) IF (deter /= 0.0) THEN CALL lapinverse(print2,3,info4,print3) Fp = matmul(print3,fpold) ELSE Fp = Fp END IF !========================================================================= C *** DETERMINE DENSITY OF GNDs ! Definitely needs to be inside plasticity loop ! And should use the directions that have been modified according to tau! !========================================================================= ! Edge-screw separated IF (gndon == 0) THEN !Switching GND evolution on and off! gndall = 0. gndcut = 0. ELSE CALL kgndl2ET(curlfp,xNorm,xDir,tau,burgerv,iphase,nSys,ns, + screwplanes,jelem,kint,time,gndall,gndcut,gndmob) IF (xtau < 1.0) THEN write(*,*) "xtau<1, jelem,kint,time",jelem,kint,time END IF END IF ! sum all GNDs gndtot = sum(gndall) ! update state variables that determine hardening call kHardening(pdot,p,plasStrainrate,dtime,slip,gammaDot, + nSys,irradiate,tauSolute,gammast,rhossd,iphase,rhofor, + CurrentTemperature,rhosub,twinon,twinvolfrac,nTwin, + nTwinStart,nTwinEnd,gammaTwinDot) !========================================================================= C *** ELASTIC DEFORMATION *** ELSE xstressmdef = trialstressM C = xStiffdef END IF ! end of PLASTIC DEFORMATION CALL kmatvec6(xstressmdef,xstressdef) !output stress devstress = xstressmdef - 1./3.*trace(xstressmdef)*xI vms = sqrt(3./2.*(sum(devstress*devstress))) !von mises stress C *** ORIENTATION UPDATE *** ! Assuming that all rigid body rotation is lumped into Fe and that the elastic strains are small ! then the elastic spin is the antisymmetric part of We = d(Fe)/dt inv(Fe) ! L = We + Fe Lp inv(Fe) therefore ! We = L - Fe Lp inv(Fe) ! G(t+dt) = G(t) + We G(t)dt dt or an implicit update is G(t+dt) = G(t)exp[We(t+dt)dt] ~ inv[I - We(t+dt) dt] G(t) ! We need Fe and inv(Fe) using F = Fe Fp gives Fe = F.inv(Fp) CALL kdeter(Fp,deter) IF (deter /= 0.) THEN Fpinv = 0. CALL lapinverse(Fp,3,info5,Fpinv) ! IF(info5 /= 0) write(6,*) "inverse failure: print3 in kmat" Fe = matmul(F,Fpinv) ELSE write(*,*) "Error in orientation update: finding inv(Fp)",jelem,kint, kinc write(*,*) "Fp, det(Fp)", Fp, deter write(*,*) "fpold", fpold write(*,*) "Lp", Lp Fp = fpold Fpinv = 0. CALL lapinverse(Fp,3,info5,Fpinv) Fe = matmul(F,Fpinv) do while (debug == 1) debugwait = 1 end do END IF CALL kdeter(Fe,deter) IF (deter /= 0.) THEN Feinv = 0. CALL lapinverse(Fe,3,info5,Feinv) ! IF(info5 /= 0) write(6,*) "inverse failure: print3 in kmat" ELSE write(*,*) "Error in orientation update: finding inv(Fe)",jelem,kint, kinc write(*,*) "Fe", Fe call XIT END IF LpFeinv = 0.; LpFeinv = matmul(Lp, Feinv) Le = L - matmul(Fe,LpFeinv) elasspin=(Le-transpose(Le))*0.5 matrix = xI - elasspin*dtime CALL kdeter(matrix,deter) C *** if plastic deformation took place C *** use the elastic spin to rotate the corotational C *** stress tensor if (iter > 0) then print2 = (matmul(elasspin,stressM)-matmul(stressM,elasspin)) xstressmdef = xstressmdef + print2*dtime CALL kmatvec6(xstressmdef,xstressdef) !output stress end if IF (deter /= 0.) THEN update = 0. CALL lapinverse(matrix,3,info5,update) IF(info5 /= 0) write(*,*) "inverse failure: print3 in kmat" gmatinvnew = matmul(update,gmatinvold) ELSE gmatinvnew = gmatinvold write(*,*) "WARNING gmatinv not updated at jelem,kint, kinc:", + jelem, kint, kinc END IF gmatinv = gmatinvnew if (maxval(gmatinv) > 1) then !write(*,*) "something very wrong with gmatinv" !write(*,*) "jelem,kint,kinc",jelem,kint,kinc !write(*,*) "maxval(gmatinv)",maxval(gmatinv) !call XIT end if C *** CALCULATE GREEN_LAGRANGE STRAIN FOR OUTPUT *** C *** ROTATE: LATTICE COORDINATES *** EECrys = matmul(transpose(Fe),Fe) EECrys = EECrys - xI EECrys = 0.5*EECrys EECrys = matmul(matmul(transpose(gmatinv),EECrys),gmatinv) C *** UPDATE STATE VARIABLES *** ! DO i=1,3 DO j=1,3 usvars(j+(i-1)*3) = gmatinv(i,j) END DO END DO usvars(10) = p DO i=1,6 usvars(10+i) = totplasstran(i) + plasStrainInc2(i) END DO DO i=1,6 usvars(16+i) = totstran(i) + dtotstran(i) END DO usvars(26) = gndtot DO i=1,nSys usvars(89+i) = slipsysplasstran(i) + gammaDot(i)*dtime END DO DO i=1,6 usvars(47+i) = xstressdef(i) END DO usvars(32) = maxval(plasStrainrate) usvars(33) = pdot usvars(34) = xtau usvars(35) = slip usvars(36) = tauSolute usvars(54) = rhossd usvars(55) = vms usvars(56) = maxval(tauc) !GNDs on indiviual systems !max(nSys) is currently limited to 24. IF all 48 of bcc is needed, storage should be raised to match that! DO i=1,nSys usvars(56+i) = gndcut(i) END DO usvars(71) = Temperature DO i=1,3 DO j=1,3 usvars(71+j+(i-1)*3) = EECrys(i,j) usvars(80+j+(i-1)*3) = Fp(i,j) END DO END DO ! Output for orthorombic alpha-Uranium material if (iphase == 5) then ! rewrite gndcut state variables ! for the alpha-Uranium model DO i=1,nSys usvars(56+i) = rhofor(i) END DO usvars(65) = rhosub DO i=1,nSys usvars(98+i) = tauc(i) END DO ! output some of the plastic strain rates on the slip systems usvars(90) = gammaDot(1) usvars(91) = gammaDot(2) usvars(92) = gammaDot(3) usvars(93) = gammaDot(4) usvars(94) = gammatwindot(nTwinStart) usvars(95) = gammatwindot(nTwinEnd) usvars(96) = TwinIntegral(nTwinStart) usvars(97) = TwinIntegral(nTwinEnd) DO i=1,nTwin ! twin volume fractions usvars(106+i) = twinvolfrac(i) END DO DO i=1,nTwin ! twin CRSS usvars(112+i) = tauctwin(i) END DO end if ! Output for CMSX-4 alloy if (kslip == 9) then do i=1,nSys ! RSS in slip systems usvars(107+i) = tau(i) end do ! maximum RSS usvars(125) = maxval(abs(tau)) end if RETURN END ================================================ FILE: old version/kshapes.f ================================================ ! ************************************************* ! * shape functions and derivatives * ! * 20-noded reduced integration (2x2x2) element * ! ************************************************* subroutine kshapes(yp,yq,yr,xnat,xn,dndloc) !20-noded element implicit none integer :: i integer,parameter:: nnodes = 20 real*8,intent(in):: yp,yq,yr real*8,intent(in):: xnat(nnodes,3) real*8,intent(out):: xn(nnodes),dndloc(nnodes,3) real(kind=8):: gn(nnodes),gnr(nnodes),gns(nnodes),gnt(nnodes) real(kind=8):: ri,si,ti,gr,gs,gt,dgr,dgs,dgt,xgauss character(len=*),parameter :: fmt20 = "(' ',20(F4.2,1X))" ! Zero output arrays. xn = 0.; dndloc = 0. do i = 1,nnodes ri = xnat(i,1);si = xnat(i,2);ti = xnat(i,3) !--------------------------- if(ri == 1. .or. ri==-1.) then gr = 0.5*(1.+ri*yp) dgr = 0.5*ri else gr = (1.-yp*yp) dgr = -2.0*yp end if !--------------------------- if(si == 1. .or. si==-1.) then gs = 0.5*(1.+si*yq) dgs = 0.5*si else gs = (1.-yq*yq) dgs = -2.0*yq end if !--------------------------- if(ti == 1. .or. ti==-1.) then gt = 0.5*(1.+ti*yr) dgt = 0.5*ti else gt = (1.-yr*yr) dgt = -2.0*yr end if !--------------------------- gn(i) = gr*gs*gt !--------------------------- gnr(i) = dgr*gs*gt gns(i) = gr*dgs*gt gnt(i) = gr*gs*dgt end do ! write(6,*)"gn in shape functions"; write(6,fmt20)gn ! Build the shape functions do i = 9,20 xn(i) = gn(i) end do ! Uel node numbering order xn(1) = gn(1) - (gn(9)+gn(12)+gn(17))/2. xn(2) = gn(2) - (gn(9)+gn(10)+gn(18))/2. xn(3) = gn(3) - (gn(10)+gn(11)+gn(19))/2. xn(4) = gn(4) - (gn(11)+gn(12)+gn(20))/2. xn(5) = gn(5) - (gn(13)+gn(16)+gn(17))/2. xn(6) = gn(6) - (gn(13)+gn(14)+gn(18))/2. xn(7) = gn(7) - (gn(14)+gn(15)+gn(19))/2. xn(8) = gn(8) - (gn(15)+gn(16)+gn(20))/2. ! Now for derivatives! do i = 9,20 dndloc(i,1) = gnr(i) dndloc(i,2) = gns(i) dndloc(i,3) = gnt(i) end do dndloc(1,1) = gnr(1) - (gnr(9)+gnr(12)+gnr(17))/2. dndloc(2,1) = gnr(2) - (gnr(9)+gnr(10)+gnr(18))/2. dndloc(3,1) = gnr(3) - (gnr(10)+gnr(11)+gnr(19))/2. dndloc(4,1) = gnr(4) - (gnr(11)+gnr(12)+gnr(20))/2. dndloc(5,1) = gnr(5) - (gnr(13)+gnr(16)+gnr(17))/2. dndloc(6,1) = gnr(6) - (gnr(13)+gnr(14)+gnr(18))/2. dndloc(7,1) = gnr(7) - (gnr(14)+gnr(15)+gnr(19))/2. dndloc(8,1) = gnr(8) - (gnr(15)+gnr(16)+gnr(20))/2. dndloc(1,2) = gns(1) - (gns(9)+gns(12)+gns(17))/2. dndloc(2,2) = gns(2) - (gns(9)+gns(10)+gns(18))/2. dndloc(3,2) = gns(3) - (gns(10)+gns(11)+gns(19))/2. dndloc(4,2) = gns(4) - (gns(11)+gns(12)+gns(20))/2. dndloc(5,2) = gns(5) - (gns(13)+gns(16)+gns(17))/2. dndloc(6,2) = gns(6) - (gns(13)+gns(14)+gns(18))/2. dndloc(7,2) = gns(7) - (gns(14)+gns(15)+gns(19))/2. dndloc(8,2) = gns(8) - (gns(15)+gns(16)+gns(20))/2. dndloc(1,3) = gnt(1) - (gnt(9)+gnt(12)+gnt(17))/2. dndloc(2,3) = gnt(2) - (gnt(9)+gnt(10)+gnt(18))/2. dndloc(3,3) = gnt(3) - (gnt(10)+gnt(11)+gnt(19))/2. dndloc(4,3) = gnt(4) - (gnt(11)+gnt(12)+gnt(20))/2. dndloc(5,3) = gnt(5) - (gnt(13)+gnt(16)+gnt(17))/2. dndloc(6,3) = gnt(6) - (gnt(13)+gnt(14)+gnt(18))/2. dndloc(7,3) = gnt(7) - (gnt(14)+gnt(15)+gnt(19))/2. dndloc(8,3) = gnt(8) - (gnt(15)+gnt(16)+gnt(20))/2. return end subroutine ! ************************************************* ! * shape functions and derivatives * ! * 8-noded full integration (2x2x2) element * ! ************************************************* subroutine kshapes8(yp,yq,yr,xnat,xn,dndloc) !8-noded element. implicit none integer :: i integer,parameter::nnodes = 8 real*8,intent(in):: yp,yq,yr real*8,intent(in):: xnat(nnodes,3) real*8,intent(out):: xn(nnodes),dndloc(nnodes,3) real(kind=8):: gn(nnodes),gnr(nnodes),gns(nnodes),gnt(nnodes) real(kind=8):: ri,si,ti,gr,gs,gt,dgr,dgs,dgt,xgauss character(len=*),parameter :: fmt20 = "(' ',20(F4.2,1X))" ! Zero output arrays. xn = 0.; dndloc = 0. do i = 1,nnodes !20 ri = xnat(i,1);si = xnat(i,2);ti = xnat(i,3) !--------------------------- if(ri == 1. .or. ri==-1.) then gr = 0.5*(1.+ri*yp) dgr = 0.5*ri else gr = (1.-yp*yp) dgr = -2.0*yp end if !--------------------------- if(si == 1. .or. si==-1.) then gs = 0.5*(1.+si*yq) dgs = 0.5*si else gs = (1.-yq*yq) dgs = -2.0*yq end if !--------------------------- if(ti == 1. .or. ti==-1.) then gt = 0.5*(1.+ti*yr) dgt = 0.5*ti else gt = (1.-yr*yr) dgt = -2.0*yr end if !--------------------------- gn(i) = gr*gs*gt !--------------------------- gnr(i) = dgr*gs*gt gns(i) = gr*dgs*gt gnt(i) = gr*gs*dgt end do ! Uel node numbering order xn(1) = gn(1) xn(2) = gn(2) xn(3) = gn(3) xn(4) = gn(4) xn(5) = gn(5) xn(6) = gn(6) xn(7) = gn(7) xn(8) = gn(8) ! Now for derivatives! dndloc(1,1) = gnr(1) dndloc(2,1) = gnr(2) dndloc(3,1) = gnr(3) dndloc(4,1) = gnr(4) dndloc(5,1) = gnr(5) dndloc(6,1) = gnr(6) dndloc(7,1) = gnr(7) dndloc(8,1) = gnr(8) dndloc(1,2) = gns(1) dndloc(2,2) = gns(2) dndloc(3,2) = gns(3) dndloc(4,2) = gns(4) dndloc(5,2) = gns(5) dndloc(6,2) = gns(6) dndloc(7,2) = gns(7) dndloc(8,2) = gns(8) dndloc(1,3) = gnt(1) dndloc(2,3) = gnt(2) dndloc(3,3) = gnt(3) dndloc(4,3) = gnt(4) dndloc(5,3) = gnt(5) dndloc(6,3) = gnt(6) dndloc(7,3) = gnt(7) dndloc(8,3) = gnt(8) return end subroutine ================================================ FILE: old version/kslip0.f ================================================ !Slip Rule Re-development subroutine kslip0(xNorm,xDir,tau,tauc,caratio,dtime,nSys,r,iphase, + xlp,tmat) implicit none integer,intent(in):: nSys,iphase real*8,intent(in) :: dtime,r,caratio real*8,intent(in) :: xNorm(nSys,3),xDir(nSys,3),tau(nSys),tauc(nSys) real*8,intent(out) :: xlp(3,3),tmat(6,6) integer :: i real*8 :: xalpha,xbeta,result1, + xsnt(3,3),xsnv(6),xnsv(6),xsnnst(6,6),xnst(3,3),result4(6,6), + tempNorm(3), tempDir(3),gammaDot(nSys) C C *** CALCULATE THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH C RESPECT TO THE STRESS DEFINED AS tmat*** C tmat=0.; xlp = 0.;result4=0. Do I=1,nSys xalpha = 0.1; xbeta = 0.1 ! xalpha = 5.0e-7; xbeta = 5.0e-7 !c/a ratio for HCP! !same burgers magnitude for first 12 if(iphase==0 .and. i > 12) then xalpha = caratio*caratio*xalpha xbeta = caratio*caratio*xbeta end if C if (tau(I) >= tauc(I)) THEN gammaDot(I)=xalpha*sinh(xbeta*abs(tau(I)-r-tauc(I))) tempNorm = xNorm(I,:); tempDir = xDir(I,:) xsnt = spread(tempDir,2,3)*spread(tempNorm,1,3) xnst = spread(tempNorm,2,3)*spread(tempDir,1,3) CALL KGMATVEC6(xsnt,xsnv) CALL KGMATVEC6(xnst,xnsv) xsnnst = spread(xsnv,2,6)*spread(xnsv,1,6) result1 = cosh(xbeta*abs(tau(I)-r-tauc(I))) result4 = result4 + xalpha*xbeta*dtime*result1*xsnnst xlp = xlp + gammaDot(I)*xsnt else gammaDot(I)=0.0 end if C END DO tmat = 0.5*(result4+transpose(result4)) return end subroutine kslip0 ================================================ FILE: old version/kslip5ET.f ================================================ !Slip Rule Re-development subroutine kslip5ET(xNorm,xDir,tau,signtau,tauc,burgerv,rhossd,gndtot, + gndall,gndcut,gndmob,dtime,ne,ns,iphase,Lp,tmat) implicit none integer,intent(in):: ne,ns,iphase real*8, intent(in) :: rhossd,gndtot,dtime, gndall(ne+ns), gndcut(ne), gndmob(ne), signtau(ne) real*8, intent(in) :: xNorm(ne,3),xDir(ne,3),tau(ne),tauc(ne),burgerv(ne) real*8, intent(out) :: Lp(3,3),tmat(6,6) integer :: i real*8 :: alpha,beta,result1, + xlambdap,xvol,rhom,rhom0,psi,K,T,dF,f, + SNij(3,3),sni(6),nsi(6),SNNS(6,6),NSij(3,3),result4(6,6), + tempNorm(3), tempDir(3),gammaDot(ne), gamm0, rhognd C C *** CALCULATE THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH C RESPECT TO THE STRESS DEFINED AS tmat*** C if (iphase == 0) then !Slava Be psi = 1.0 rhom0 = 0.003 !Slava Be dF = 3.4559E-20 *1E12 ! microN.microns = pJ f = 1e11 gamm0 = 5e-2 elseif (iphase == 2) then psi = 1E-7 !1.457e-4 rhom0 = 5.0 dF = 0.0 ! !3.4559E-20 *1E12 ! microN.microns = pJ f = 50E+11 !1e11 gamm0 = 6e-4 !8.33E-6 endif K = 1.381E-23 *1E12 ! pJ / K T = 293.0 !ne = microns, stress = MPa, F = microN, therefore E = pJ C tmat=0.; Lp = 0.;result4=0. !rhogndold=sum(gndold) Do I=1,ne if (tau(I) >= tauc(I)) THEN rhom = psi*(rhom0 + gndmob(I)) rhognd = gndtot !gndcut(I) xlambdap = 1.0/sqrt((rhognd+rhossd)) !overall xvol = xlambdap*burgerv(I)*burgerv(I) beta = gamm0*xvol/(K*T) alpha = rhom*burgerv(I)*burgerv(I)*f*exp(-dF/(K*T)) gammaDot(I)=alpha*sinh(beta*signtau(I)*(tau(I) - tauc(I)) ) tempNorm = xNorm(I,:); tempDir = xDir(I,:) SNij = spread(tempDir,2,3)*spread(tempNorm,1,3) NSij = spread(tempNorm,2,3)*spread(tempDir,1,3) CALL KGMATVEC6(SNij,sni) CALL KGMATVEC6(NSij,nsi) SNNS = spread(sni,2,6)*spread(nsi,1,6) result1 = cosh(beta*signtau(I)*(tau(I) - tauc(I))) result4 = result4 + alpha*beta*dtime*result1*SNNS Lp = Lp + gammaDot(I)*SNij else gammaDot(I)=0.0 end if C END DO tmat = 0.5*(result4+transpose(result4)) return end subroutine kslip5ET ================================================ FILE: old version/kslip6ET.f ================================================ subroutine kslip6ET(xNorm,xDir,tau,signtau,tauc,burgerv,dtime, + nSys,iphase,irradiate, gndcut,gndtot,rhossd,Lp,tmat,gammaDot) !Slip Rule with constant coefficients for simplicity implicit none integer,intent(in):: nSys,iphase, irradiate real*8, intent(in) :: dtime, signtau(nSys), gndcut(nSys), gndtot,rhossd real*8, intent(in) :: xNorm(nSys,3),xDir(nSys,3),tau(nSys),tauc(nSys),burgerv(nSys) real*8, intent(out) :: Lp(3,3),tmat(6,6), gammaDot(nSys) integer :: i real*8 :: alpha,beta,result1, rhom,dF,f,T,k,gamma0,b,psi,V, + SNij(3,3),sni(6),nsi(6),SNNS(6,6),NSij(3,3),result4(6,6), + tempNorm(3), tempDir(3) C C *** CALCULATE THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH C RESPECT TO THE STRESS DEFINED AS tmat*** C if (iphase == 1) then rhom = 0.035 !mobile dislocation density dF = 3.4559E-8 !! Energy barrier microN.microns = pJ f = 1.0E11 ! attempt frequency /s T = 293.0 k = 1.381E-11 ! pJ / K gamma0 = 8.33E-6 ! some reference strain which appears in eg http://dx.doi.org/10.1016/j.ijsolstr.2015.02.023 b = burgerv(1) if (irradiate == 1) then psi = 3.457e-2 else psi = 0.727e-2 end if alpha = rhom*b*b*f*exp(-dF/(k*T)) ! prefactor /s V = b*b/sqrt(psi*rhossd) ! activation volume /micron^3 beta = gamma0*V/(k*T) ! rate sensitivity 1/MPa elseif (iphase == 2) then alpha = 0.02 beta = 0.1 endif !ne = microns, stress = MPa, F = microN, therefore E = pJ C tmat=0.; Lp = 0.;result4=0. !rhogndold=sum(gndold) Do I=1,nSys if (tau(I) >= tauc(I)) THEN gammaDot(I)=alpha*sinh(beta*signtau(I)*(tau(I) - tauc(I)) ) tempNorm = xNorm(I,:); tempDir = xDir(I,:) SNij = spread(tempDir,2,3)*spread(tempNorm,1,3) NSij = spread(tempNorm,2,3)*spread(tempDir,1,3) CALL KGMATVEC6(SNij,sni) CALL KGMATVEC6(NSij,nsi) SNNS = spread(sni,2,6)*spread(nsi,1,6) result1 = cosh(beta*signtau(I)*(tau(I) - tauc(I))) result4 = result4 + alpha*beta*dtime*result1*SNNS Lp = Lp + gammaDot(I)*SNij else gammaDot(I)=0.0 end if C END DO tmat = 0.5*(result4+transpose(result4)) return end ================================================ FILE: old version/kslipCreepPowerLaw.f ================================================ C Christos Skamniotis C University of Oxford C December 2021 C C Simplified power law slip rule and empirical creep law for tertiary creep: subroutine kslipCreepPowerLaw(xNorm,xDir,tau,signtau,tauc, + dtime,nSys,iphase,CurrentTemperature,Lp, + tmat,gammaDot,cubicslip,creep,slipsysplasstran) implicit none ! number of slip system integer, intent(in):: nSys ! activation flag for cubic slip (additional 6 systems activated when loading is not along 001) INTEGER,intent(in) :: cubicslip ! activation flag for tertiary creep INTEGER,intent(in) :: creep ! accumulated plastic strain on each slip system, signed real*8, intent(in) :: slipsysplasstran(nSys) ! phase integer, intent(in):: iphase ! slip directions and normals real*8, intent(in) :: xNorm(nSys,3), xDir(nSys,3) ! resolved shear stress and critical resolved shear stress ! and sign of the resolved shear stress ! tauc is positive by definition real*8, intent(in) :: tau(nSys), tauc(nSys), signtau(nSys) ! time step real*8, intent(in) :: dtime ! Temperature in Kelvin real*8, intent(in) :: CurrentTemperature ! plastic velocity gradient real*8, intent(out) :: Lp(3,3) ! and its derivative with respect to the stress real*8, intent(out) :: tmat(6,6) ! plastic strain rate on each slip system real*8, intent(out) :: gammaDot(nSys) ! Gas constant (J*mol/K) real*8, parameter :: R = 8.314462 ****************************************** ** The following parameters must be set ** *** RATE DEPENDENT PLASTICITY (thermally activated glide) ! reference strain rate (1/s) real*8, parameter :: ref_gammaDot = 7.071136E-05 ! rate sensitivity multiplier (1/Kelvin) real*8, parameter :: slopeM = -0.036273 ! rate sensitivity constant (-/-) real*8, parameter :: constantM = 65.33827694 *** TERTIARY CREEP (dislocation climb & damage) ! Initial creep rate constants ! Activation energy for creep (J/mol) real*8, parameter :: Qo = 440.0e3 ! reference rate (1/s) real*8, parameter :: ao = 6.0e7 ! stress multiplier (1/MPa) real*8, parameter :: bo = 5.0e-2 ! Climb/damage constants ! Activation energy for damage (J/mol) real*8, parameter :: QD = 170.0e3 ! reference rate (1/s) real*8, parameter :: aD = 6.0e-1 ! stress multiplier (1/MPa) real*8, parameter :: bD = 3.5e-2 ** End of parameters to set ** ****************************************** ! slip system index integer :: i ! Schmid tensor and its transpose real*8 :: SNij(3,3), NSij(3,3) ! Schmid tensor and its transpose in Voigt notation real*8 :: sni(6), nsi(6) ! higher order Schmid tensor in Voigt notation real*8 :: SNNS(6,6) ! temporary slip normal and slip direction real*8 :: tempNorm(3), tempDir(3) ! temporary variable to calculate the Jacobian real*8 :: result1 ! Jacobian real*8 :: result4(6,6) ! RSS/CRSS ratio real*8 :: tau_ratio ! rate sensitivity real*8 :: mpower C C *** CALCULATE LP AND THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH C RESPECT TO THE STRESS DEFINED AS tmat*** C C tmat = 0.0 Lp = 0.0 result4 = 0.0 mpower = slopeM * CurrentTemperature + constantM ! contribution to Lp of all slip systems do i=1,nSys tau_ratio=tau(i)/tauc(i) if (tau_ratio > 0.0) then ! strain rate due to thermally activated glide (rate dependent plasticity) gammaDot(i) = signtau(i)*ref_gammaDot*tau_ratio**mpower ! calculate derivative d ( gammaDot(i) ) / d ( tau(i) ) result1 = ref_gammaDot*mpower*(1/tauc(i))*(tau_ratio**(mpower-1)) ! add tertiary creep rate if (creep == 1 .and. tau_ratio > 0.05) then gammaDot(i) = gammaDot(i) + + signtau(i)*ao*exp(bo*tau(i)-Qo/(R*CurrentTemperature)) + + signtau(i)*abs(slipsysplasstran(i))*aD* + exp(bD*tau(i)-QD/(R*CurrentTemperature)) result1 = result1 + ao*bo* + exp(bo*tau(i)-Qo/(R*CurrentTemperature)) + + abs(slipsysplasstran(i))*aD*bD* + exp(bD*tau(i)-QD/(R*CurrentTemperature)) end if ! calculate SNNS tempNorm = xNorm(i,:) tempDir = xDir(i,:) SNij = spread(tempDir,2,3)*spread(tempNorm,1,3) NSij = spread(tempNorm,2,3)*spread(tempDir,1,3) call KGMATVEC6(SNij,sni) call KGMATVEC6(NSij,nsi) SNNS = spread(sni,2,6)*spread(nsi,1,6) ! contribution to Jacobian result4 = result4 + dtime*result1*SNNS ! plastic velocity gradient contribution Lp = Lp + gammaDot(i)*SNij else gammaDot(i) = 0.0 end if end do tmat = 0.5*(result4+transpose(result4)) return end ================================================ FILE: old version/kslipDoubleExponent.f ================================================ C Nicolo Grilli C University of Bristol C Christos Skamniotis C University of Oxford C 11 Novembre 2021 C C Double exponent slip rule in: C Zhengxuan Fan & Serge Kruch (2020) A comparison of different crystal C plasticity finite-element models on the simulation of nickel alloys, C Materials at High Temperatures, 37:5, 328-339, DOI: 10.1080/09603409.2020.1801951 C Equation in Table 1 subroutine kslipDoubleExponent(xNorm,xDir,tau,signtau,tauc, + burgerv,dtime,nSys,iphase,CurrentTemperature,Backstress,Lp, + tmat,gammaDot) implicit none ! number of slip system integer, intent(in):: nSys ! phase integer, intent(in):: iphase ! slip directions and normals real*8, intent(in) :: xNorm(nSys,3),xDir(nSys,3) ! resolved shear stress and critical resolved shear stress ! and sign of the resolved shear stress ! tauc is positive by definition real*8, intent(in) :: tau(nSys), tauc(nSys), signtau(nSys) ! Burgers vectors real*8, intent(in) :: burgerv(nSys) ! time step real*8, intent(in) :: dtime ! Temperature real*8, intent(in) :: CurrentTemperature ! Backstress state variable real*8, intent(in) :: Backstress(nSys) ! plastic velocity gradient real*8, intent(out) :: Lp(3,3) ! and its derivative with respect to the stress real*8, intent(out) :: tmat(6,6) ! plastic strain rate on each slip system real*8, intent(out) :: gammaDot(nSys) ****************************************** ** The following parameters must be set ** ! Free energy variation (J/mol) real*8, parameter :: dF = 286000.0 ! Boltzmann constant (J/K) real*8, parameter :: kB = 1.38e-23 ! reference strain rate (1/s) real*8, parameter :: gammadot0 = 1.0e7 ! ratio between shear modulus at CurrentTemperature ! and at 0K real*8, parameter :: mu_over_mu0 = 103.5 / 134.0 ! strain rate sensitivity exponents real*8, parameter :: p = 0.59 real*8, parameter :: q = 1.8 ! Peierls stress at 0K (MPa) real*8, parameter :: tau0 = 342.0 ** End of parameters to set ** ****************************************** ! slip system index integer :: i ! Schmid tensor and its transpose real*8 :: SNij(3,3), NSij(3,3) ! Schmid tensor and its transpose in Voigt notation real*8 :: sni(6), nsi(6) ! higher order Schmid tensor in Voigt notation real*8 :: SNNS(6,6) ! temporary slip normal and slip direction real*8 :: tempNorm(3), tempDir(3) ! ratio between free energy jump and KB * T real*8 :: dF_over_kBT ! argument of the exponential to calculate gammaDot real*8 :: gammaDot_exp_arg ! effective stress for slip real*8 :: tau_eff ! temporary variable to calculate the Jacobian real*8 :: result1 ! product between tauc and mu_over_mu0 real*8 :: tauc_mu_over_mu0 ! product between tau0 and mu_over_mu0 real*8 :: tau0_mu_over_mu0 = mu_over_mu0 * tau0 ! the variable elevated to power p (temporary variable) real*8 :: powerp ! Jacobian real*8 :: result4(6,6) dF_over_kBT = dF / (kB * CurrentTemperature) C C *** CALCULATE LP AND THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH C RESPECT TO THE STRESS DEFINED AS tmat*** C tmat = 0.0 Lp = 0.0 result4 = 0.0 ! contribution to Lp of all slip systems do i=1,nSys tauc_mu_over_mu0 = mu_over_mu0 * tauc(i) tau_eff = abs(tau(i) - Backstress(i)) - tauc_mu_over_mu0 if (tau_eff >= 0.0) then gammaDot_exp_arg = tau_eff / tau0_mu_over_mu0 ! always positive if (gammaDot_exp_arg >= 1.0) then ! avoid negative values before elevating to power q gammaDot_exp_arg = 0.0 powerp = 0.0 else ! standard case powerp = gammaDot_exp_arg**p gammaDot_exp_arg = (1.0 - powerp)**q end if gammaDot(i) = gammadot0*exp(-dF_over_kBT*gammaDot_exp_arg) if ((tau(i) - Backstress(i)) < 0.0) then ! sign is based on (tau(i) - Backstress(i)) gammaDot(i) = (-1.0) * gammaDot(i) end if tempNorm = xNorm(i,:) tempDir = xDir(i,:) SNij = spread(tempDir,2,3)*spread(tempNorm,1,3) NSij = spread(tempNorm,2,3)*spread(tempDir,1,3) call KGMATVEC6(SNij,sni) call KGMATVEC6(NSij,nsi) SNNS = spread(sni,2,6)*spread(nsi,1,6) ! calculate derivative d ( gammaDot(i) ) / d ( tau(i) ) result1 = abs(gammaDot(i)) result1 = result1 * dF_over_kBT result1 = result1 * q result1 = result1 * ((1.0 - powerp)**(q-1.0)) result1 = result1 * p result1 = result1 / (tau0_mu_over_mu0**p) result1 = result1 * ((tau_eff)**(p-1.0)) ! contribution to Jacobian result4 = result4 + dtime*result1*SNNS ! plastic velocity gradient contribution Lp = Lp + gammaDot(i)*SNij else gammaDot(i) = 0.0 end if end do tmat = 0.5*(result4+transpose(result4)) return end ================================================ FILE: old version/kslipPowerLaw.f ================================================ ** Nicolo Grilli ** 28th January 2019 ** alpha-Uranium ** AWE project ** ** including twinning ** NO rotation of slip systems due to twinning ** but slip is allowed inside twins ** ** for full twin developement a characteristic ** time is introduced if twin volume fraction > 0.5 ** This leads the twin volume fraction to reach 1.0 ** after about the characteristic time ** subroutine kslipPowerLaw(xNorm,xDir,xTwinNorm,xTwinDir, + tau,tautwin,signtau,signtautwin,tauc,tauctwin, + burgerv,dtime,nSys,nTwin,iphase,irradiate, + gndcut,gndtot,rhossd,twinvolfrac,twinvolfractotal, + Lp,tmat,gammaDot,gammaTwinDot,twinon, + nTwinStart,nTwinEnd) implicit none integer,intent(in) :: nSys,nTwin,iphase,irradiate,twinon integer,intent(in) :: nTwinStart,nTwinEnd real*8, intent(in) :: dtime, signtau(nSys),signtautwin(nTwin), gndcut(nSys), gndtot,rhossd real*8, intent(in) :: xNorm(nSys,3),xDir(nSys,3),tau(nSys),tauc(nSys),burgerv(nSys) real*8, intent(in) :: xTwinNorm(nTwin,3),xTwinDir(nTwin,3),tautwin(nTwin),tauctwin(nTwin) real*8, intent(in) :: twinvolfrac(nTwin), twinvolfractotal ! twin volume fraction real*8, intent(inout) :: gammaTwinDot(nTwin) real*8, intent(out) :: Lp(3,3),tmat(6,6), gammaDot(nSys) integer :: i, j real*8 :: alpha,beta,result1, rhom,dF,f,T,k,gamma0,b,psi,V, + SNij(3,3),sni(6),nsi(6),SNNS(6,6),NSij(3,3),result4(6,6), + tempNorm(3), tempDir(3) ! alpha-Uranium shear strain rate law real*8 :: gamma0dot, gamma0dottwin ! slip rate prefactor real*8 :: nsliprate ! slip rate exponent real*8 :: xtau ! ratio: resolved shear stress / CRSS C C *** CALCULATE THE DERIVATIVE OF PLASTIC STRAIN INCREMENT WITH C RESPECT TO THE STRESS DEFINED AS tmat*** C gamma0dot = 1.0e-3 gamma0dottwin = 1.0e-3 nsliprate = 20.0 !ne = microns, stress = MPa, F = microN, therefore E = pJ C tmat=0.; Lp = 0.;result4=0. Do I=1,nSys ! shear due to slip without twinning xtau = tau(I) / tauc(I) ! 0.5 for alpha-Uranium model due to the exponent 20 in the shear rate law ! slip is allowed inside twins if (xtau >= 0.5) THEN gammaDot(I)=gamma0dot*(xtau**nsliprate)*signtau(I) ! signed tempNorm = xNorm(I,:); tempDir = xDir(I,:) SNij = spread(tempDir,2,3)*spread(tempNorm,1,3) ! b_i tensor product n_j NSij = spread(tempNorm,2,3)*spread(tempDir,1,3) ! n_i b_j CALL KGMATVEC6(SNij,sni) CALL KGMATVEC6(NSij,nsi) ! nsi and sni are the same thing SNNS = spread(sni,2,6)*spread(nsi,1,6) result1 = xtau**(nsliprate-1.0) ! result4 = dt dL_{ij}/dsigma_{kl} with indices in Voigt notation ! such that 4,5,6 components contributes as (b_i n_j + b_j n_i) ! slip inside twin is allowed result4=result4+(gamma0dot*nsliprate/tauc(I))*dtime*result1*SNNS ! update plastic velocity gradient ! slip is allowed inside twins Lp = Lp + gammaDot(I)*SNij else gammaDot(I)=0.0 end if C END DO if (twinon == 1) then ! twin active Do I=nTwinStart,nTwinEnd ! shear due to twinning xtau = tautwin(I) / tauctwin(I) ! 0.5 for alpha-Uranium model due to the exponent 20 in the shear rate law ! if twins have already occupied the whole volume ! no additional plastic strain from twinning is possible if ((xtau >= 0.5 .or. twinvolfrac(I) > 0.5) .and. twinvolfrac(I) < 1.0) THEN gammaTwinDot(I)=gamma0dottwin*(xtau**nsliprate)*signtautwin(I) ! signtautwin always positive if (gammaTwinDot(I) > 1000.0*gamma0dottwin) then gammaTwinDot(I) = 1000.0*gamma0dottwin end if ! add contribution if activation threshold 0.5 has been passed ! here characteristic time is 1s if (twinvolfrac(I) > 0.5) then gammaTwinDot(I)=gammaTwinDot(I)+0.299*(1.0-twinvolfrac(I)) end if tempNorm = xTwinNorm(I,:); tempDir = xTwinDir(I,:) SNij = spread(tempDir,2,3)*spread(tempNorm,1,3) ! b_i tensor product n_j NSij = spread(tempNorm,2,3)*spread(tempDir,1,3) ! n_i b_j CALL KGMATVEC6(SNij,sni) CALL KGMATVEC6(NSij,nsi) ! nsi and sni are the same thing SNNS = spread(sni,2,6)*spread(nsi,1,6) if (gammaTwinDot(I) > 999.0*gamma0dottwin) then result1 = 707.9 else result1 = xtau**(nsliprate-1.0) end if ! result4 = dt dL_{ij}/dsigma_{kl} with indices in Voigt notation ! such that 4,5,6 components contributes as (b_i n_j + b_j n_i) result4 = result4 + (gamma0dottwin*nsliprate/tauctwin(I))*dtime*result1*SNNS ! update plastic velocity gradient Lp = Lp + gammaTwinDot(I)*SNij else gammaTwinDot(I)=0.0 end if END DO end if ! twin active tmat = 0.5*(result4+transpose(result4)) return end ================================================ FILE: old version/ksvd.f ================================================ !Slip Rule Re-development subroutine ksvd(A,m,n,B) implicit none integer,parameter :: LWORK=5315 real*8,parameter :: zero = 1.0e-7 integer,intent(in):: m,n real*8,intent(in) :: A(m,n) real*8,intent(out) :: B(n,m) real*8 :: U(m,n),VT(m,n),diagm(n,m),qt1(m,m),WORK(LWORK) integer,dimension(:),allocatable :: IWORK real*8,dimension(:),allocatable :: S integer :: i,j,ialloc,INFO, LDA, LDU, LDVT real*8 :: xbig CHARACTER*1 :: JOBZ character (len=*),parameter :: fmt2="(24(' ',(I2,1X)))", + fmt3="(9(' ',(F8.5,1X)))",fmt6= "(24(' ',(ES11.3,1X)))" EXTERNAL DGESDD !Allocate dimensions to key arrays !============================ allocate(S(min(m,n)),IWORK(8*min(m,n)),STAT=ialloc) S=0.; B=0.; U=0.;VT=0.;diagm=0.;qt1=0.; IWORK=0 !Find SVD of tau* (with LAPACK) !============================ JOBZ = 'A'; LDA = m; LDU = m; LDVT = n call DGESDD( JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK, $ LWORK, IWORK, INFO ) xbig = maxval(S) do i=1,ubound(S,1) ! if(abs(S(i)) <= zero) S(i) = 0. if(abs(S(i)) <= 0.0001*xbig) S(i) = 0. !i.e. difference of four orders of magnitude end do write(6,*)"singular values,xbig",xbig; write(6,fmt6) S !Find psuedoinverse of A !============================ do i=1,ubound(S,1); if(S(i) /= 0.) diagm(i,i) = 1./S(i); end do qt1 = matmul(diagm,transpose(U)) B = matmul(transpose(VT),qt1) return end subroutine ksvd ================================================ FILE: old version/ktwinneighbourhood.f ================================================ C Non-local twin model C find neigbourhood of an integration point C and calculate the integral of the twin volume fraction C on that neighbourhood C see: Grilli, Cocks, Tarleton C A phase field model for the growth and characteristic thickness of deformation-induced twins C Journal of the Mechanics and Physics of Solids, Volume 143, October 2020, 104061 C calculation of TwinUpDownEl, TwinUpDownIP C at the second increment when kgausscoords C have been assigned for all elements and IPs SUBROUTINE kfindneighbourhood(noel,npt,COORDS,STATEV,NSTATV, + Twin1UpDownEl,Twin1UpDownIP,Twin2UpDownEl,Twin2UpDownIP, + nTwinStart,nTwinEnd,nTwin) integer,intent(in) :: NSTATV real*8,intent(in) :: COORDS(3) real*8,intent(in) :: STATEV(NSTATV) integer,intent(in) :: noel,npt integer,intent(in) :: nTwinStart integer,intent(in) :: nTwinEnd integer,intent(in) :: nTwin include 'mycommon.f' integer,intent(inout) :: Twin1UpDownEl(ArrayNUpDown), Twin1UpDownIP(ArrayNUpDown) integer,intent(inout) :: Twin2UpDownEl(ArrayNUpDown), Twin2UpDownIP(ArrayNUpDown) ! temporary vector from current IP ! to neighbouring IP and its norm real*8 :: NeighbourConnection(3) real*8 :: NeighbourConnectionAbs ! temporary gauss point coordinates real*8 :: gausscoords(3) ! rotation matrix needed to ! rotate twin directions and normals real*8 :: gmatinv(3,3) ! temporary twin normal real*8 :: ttwinnor(3) ! twin normals real*8 :: dtwinnor(nTwin,3) ! temporary projection of the distance ! from neighbouring IP on the twin plane normal real*8 :: NeighbourProjection ! temporary distance from neighbouring IP ! to the axis of the cylinder passing through ! the current IP and parallel to the twin plane normal real*8 :: NeighbourDistCyl ! temporary indices of the neighbouring IPs ! two discrete twin systems per grain ! but indices can be arbitrary based on nTwinStart and nTwinEnd integer :: NeighbourUpDownIndex(nTwin) ! flag telling that NUpDown has been exceeded ! not enough space in the NUpDown variable ! for neighbouring points integer :: FlagNUpDown ! temporary indices of SMAIntArray ! converting noel, npt and NeighbourUpDownIndex ! into the SMA array index integer :: ArrayIndexUpDown integer :: elem, ip, i, j, twinindex ! twin normals are necessary ! to determine the position of an IP with ! respect to a formed twin include 'xTwinNormAlphaUranium.f' NeighbourUpDownIndex(1:nTwin) = 0 FlagNUpDown = 0 ! loop over all elements and IPs do elem=1,nElements do ip=1,nintpts NeighbourConnection(1:3) = 0.0 NeighbourConnectionAbs = 0.0 if (elem /= noel .or. ip /= npt) then ! check that IP is not the current one if (kGrainIndex(noel,npt) == kGrainIndex(elem,ip)) then ! check that IP belongs to the same grain ! assign IP coordinate to a temporary variable gausscoords(1) = kgausscoords(elem,ip,1) gausscoords(2) = kgausscoords(elem,ip,2) gausscoords(3) = kgausscoords(elem,ip,3) ! check that x coordinate is close to ! the current element if (abs(COORDS(1) - gausscoords(1)) < 10.001) then ! check that y coordinate is close to ! the current element if (abs(COORDS(2) - gausscoords(2)) < 10.001) then ! check that z coordinate is close to ! the current element if (abs(COORDS(3) - gausscoords(3)) < 1.001) then ! calculate vector from current IP to ! neighbouring IP NeighbourConnection(1) = gausscoords(1) - COORDS(1) NeighbourConnection(2) = gausscoords(2) - COORDS(2) NeighbourConnection(3) = gausscoords(3) - COORDS(3) NeighbourConnectionAbs = dot_product(NeighbourConnection(1:3),NeighbourConnection(1:3)) NeighbourConnectionAbs = sqrt(NeighbourConnectionAbs) ! assign rotation matrix to gmatinv DO i=1,3 DO j=1,3 gmatinv(i,j) = STATEV(j+(i-1)*3) END DO END DO DO twinindex=nTwinStart,nTwinEnd ! cycle over twin systems ! dtwinnor is assumed normalized ! rotate it to the sample reference frame DO i=1,3 ttwinnor(i) = dtwinnor(twinindex,i) ! already normalized END DO ttwinnor = matmul(gmatinv,ttwinnor) ! calculate projection of NeighbourConnection ! on the twin plane normal NeighbourProjection = abs(dot_product(NeighbourConnection(1:3),ttwinnor(1:3))) NeighbourDistCyl = NeighbourConnectionAbs*NeighbourConnectionAbs NeighbourDistCyl = NeighbourDistCyl - NeighbourProjection*NeighbourProjection NeighbourDistCyl = sqrt(NeighbourDistCyl) ! check if the neighbouring point ! is up/down (inside the cylinder or not) if (NeighbourDistCyl < 1.001 .and. NeighbourProjection < 5.001) then ! up/down NeighbourUpDownIndex(twinindex) = NeighbourUpDownIndex(twinindex) + 1 if (NeighbourUpDownIndex(twinindex) <= NUpDown) then ArrayIndexUpDown = (noel-1)*nintpts*NUpDown+(npt-1)*NUpDown+NeighbourUpDownIndex(twinindex) if (twinindex == nTwinStart) then Twin1UpDownEl(ArrayIndexUpDown) = elem Twin1UpDownIP(ArrayIndexUpDown) = ip end if if (twinindex == nTwinEnd) then Twin2UpDownEl(ArrayIndexUpDown) = elem Twin2UpDownIP(ArrayIndexUpDown) = ip end if else FlagNUpDown = 1 ! NUpDown needs to be increased end if end if ! check up/down END DO ! cycle over twin systems end if ! check z coordinate end if ! check y coordinate end if ! check x coordinate end if ! check that IP belongs to the same grain end if ! check that IP is not the current one end do ! loop over all IPs end do ! loop over all elements ! assign number of Neighbours to common block kNoNeighbours(noel,npt,1) = NeighbourUpDownIndex(nTwinStart) kNoNeighbours(noel,npt,2) = NeighbourUpDownIndex(nTwinEnd) if (FlagNUpDown == 1) then if (maxval(NeighbourUpDownIndex) > NUpDownExceeded) then NUpDownExceeded = maxval(NeighbourUpDownIndex) write(*,*) "WARNING: number of up/down neighbouring IPs exceeded" write(*,*) "Max value reached by NeighbourUpDownIndex(nTwinStart:nTwinEnd) is:" write(*,*) "maxval(NeighbourUpDownIndex)" write(*,*) maxval(NeighbourUpDownIndex) end if end if RETURN END C calculate integral of the twin volume fraction C in the up/down region SUBROUTINE ktwinvolfracintegral(noel,npt,TwinIntegral, + Twin1UpDownEl,Twin1UpDownIP,Twin2UpDownEl,Twin2UpDownIP, + nTwinStart,nTwinEnd,nTwin) integer,intent(in) :: nTwinStart integer,intent(in) :: nTwinEnd integer,intent(in) :: nTwin real*8,intent(inout) :: TwinIntegral(nTwin) integer,intent(in) :: noel,npt include 'mycommon.f' integer,intent(in) :: Twin1UpDownEl(ArrayNUpDown), Twin1UpDownIP(ArrayNUpDown) integer,intent(in) :: Twin2UpDownEl(ArrayNUpDown), Twin2UpDownIP(ArrayNUpDown) integer :: I, twinindex ! temporary indices of SMAIntArray ! converting noel, npt and NeighbourUpDownIndex ! into the SMA array index integer :: ArrayIndexUpDown ! temporary element index ! to find neighbouring IPs integer :: noelTwin ! temporary IP index ! to find neighbouring IPs integer :: nptTwin DO twinindex=nTwinStart,nTwinEnd ! cycle over twin systems DO I=1,NUpDown ! cycle over up/down neighbours ArrayIndexUpDown = (noel-1)*nintpts*NUpDown+(npt-1)*NUpDown+I if (twinindex == nTwinStart) then noelTwin = Twin1UpDownEl(ArrayIndexUpDown) nptTwin = Twin1UpDownIP(ArrayIndexUpDown) end if if (twinindex == nTwinEnd) then noelTwin = Twin2UpDownEl(ArrayIndexUpDown) nptTwin = Twin2UpDownIP(ArrayIndexUpDown) end if if (noelTwin /= 0 .and. nptTwin /= 0) then ! this IP was not assigned: e.g. element close to the boundary if (twinindex == nTwinStart) then TwinIntegral(twinindex) = TwinIntegral(twinindex) + kTwinVolFrac(noelTwin,nptTwin,1) end if if (twinindex == nTwinEnd) then TwinIntegral(twinindex) = TwinIntegral(twinindex) + kTwinVolFrac(noelTwin,nptTwin,2) end if end if END DO ! cycle over up/down neighbours END DO ! end cycle over twin systems ! average over neighbours if (kNoNeighbours(noel,npt,1) == 0) then ! kNoNeighbours is not assigned at the first increment TwinIntegral(nTwinStart) = 0.0 else TwinIntegral(nTwinStart) = TwinIntegral(nTwinStart) / kNoNeighbours(noel,npt,1) end if if (kNoNeighbours(noel,npt,2) == 0) then ! kNoNeighbours is not assigned at the first increment TwinIntegral(nTwinEnd) = 0.0 else TwinIntegral(nTwinEnd) = TwinIntegral(nTwinEnd) / kNoNeighbours(noel,npt,2) end if RETURN END ================================================ FILE: old version/ktwinrot.f ================================================ subroutine ktwinrot(nTwin,TwinRot) implicit none integer :: i,j,k integer,parameter :: m = 3 integer,intent(in):: nTwin real*8,intent(out):: TwinRot(nTwin,m,m) real(kind=8):: dtwindir(nTwin,m),dtwinnor(nTwin,m) include 'xTwinDirAlphaUranium.f' include 'xTwinNormAlphaUranium.f' ! for compound twins ! Q_{ij} = 2 n_i n_j - delta_{ij} ! where n_i is the twin plane normal ! see Franz Roters' thesis 2011 ! Advanced Material Models for the Crystal Plasticity Finite Element Method ! equation 7.48 DO k=1,nTwin ! only compound twins are considered DO i=1,m DO j=1,m TwinRot(k,i,j) = 2.0 * dtwinnor(k,i) * dtwinnor(k,j) END DO END DO END DO ! for 2nd kind twins ! Q_{ij} = 2 d_i d_j - delta_{ij} ! where d_i is the twin direction ! see Cahn, Acta Mater. 1953 (Figure 2) !DO k=3,nTwin ! DO i=1,m ! DO j=1,m ! TwinRot(k,i,j) = 2.0 * dtwindir(k,i) * dtwindir(k,j) ! END DO ! END DO !END DO ! subtract the identity matrix ! for both 1st and 2nd kind twin DO k=1,nTwin DO i=1,m TwinRot(k,i,i) = TwinRot(k,i,i) - 1.0 END DO END DO return end ================================================ FILE: old version/mycommon.f ================================================ ! Nicolo Grilli ! University of Oxford ! AWE project 2020 ! 7th April 2020 ! calculate integral of the twin volume fraction ! in a cylinder parallel to the twin plane normal ! two twin systems ! use allocatable arrays to avoid passing ! the 2 GB limit for static arrays in the stack ! as common blocks do ! use the command SMALocalIntArrayCreateInit(ID,SIZE,0) !Use this to avoid editing multiple common blocks independently integer, parameter :: nElements = 18315 integer, parameter :: nintpts = 8 integer, parameter :: nsdv = 125 ! number of cohesive elements integer, parameter :: nElemUel = 36390 ! maximum number of IPs in the cylinder integer, parameter :: NUpDown = 3428 ! NUpDown * nElements * nintpts integer, parameter :: ArrayNUpDown = 502270560 real*8 :: kFp, kgausscoords, kcurlFp, kTwinVolFrac real*8 :: kSigma0 real*8 :: kDeltaEff integer :: kNoNeighbours ! grain index for each element and IP integer :: kGrainIndex, NUpDownExceeded COMMON/UMPS/kFp(nElements, nintpts, 9), + kgausscoords(nElements,nintpts,3), + kcurlFp(nElements, nintpts, 9), + kTwinVolFrac(nElements,nintpts,2), ! twin volume fraction + kNoNeighbours(nElements,nintpts,2), ! number of up/down neighbours + kGrainIndex(nElements,nintpts), + kSigma0(nElements,nintpts), ! output the max stress to failure + kDeltaEff(nElements,nintpts), ! output the max effective opening + NUpDownExceeded ! keep track of the max value of the neighbouring IP reached ================================================ FILE: old version/test.txt ================================================ ================================================ FILE: old version/uexternaldb.f ================================================ SUBROUTINE UEXTERNALDB(LOP,LRESTART,TIME,DTIME,KSTEP,KINC) C INCLUDE 'ABA_PARAM.INC' DIMENSION TIME(2) C !user coding to set up the FORTRAN environment, open files, close files, !calculate user-defined model-independent history information, !write history information to external files, !recover history information during restart analyses, etc. !do not include calls to utility routine XIT call MutexInit( 1 ) ! initialize Mutex #1 call MutexInit( 2 ) call MutexInit( 3 ) call MutexInit( 4 ) call MutexInit( 5 ) call MutexInit( 6 ) call MutexInit( 7 ) call MutexInit( 8 ) call MutexInit( 9 ) call MutexInit( 10 ) call MutexInit( 11 ) call MutexInit( 12 ) call MutexInit( 13 ) call MutexInit( 14 ) call MutexInit( 15 ) RETURN END ================================================ FILE: old version/umat.for ================================================ *********************************************************** ** Crystal Plasticity UMAT ** University of Oxford ** Developed by Nicolo Grilli 2020, ** rewrite of UMAT by Ed Tarleton which was based on UEL by Fionn Dunne 2007 ********************************************************** SUBROUTINE UMAT(STRESS,STATEV,DDSDDE,SSE,SPD,SCD, 1 RPL,DDSDDT,DRPLDE,DRPLDT, 2 STRAN,DSTRAN,TIME,DTIME,TEMP,DTEMP,PREDEF,DPRED,CMNAME, 3 NDI,NSHR,NTENS,NSTATV,PROPS,NPROPS,COORDS,DROT,PNEWDT, 4 CELENT,DFGRD0,DFGRD1,NOEL,NPT,LAYER,KSPT,KSTEP,KINC) INCLUDE 'ABA_PARAM.INC' #include CHARACTER*80 CMNAME DIMENSION STRESS(NTENS),STATEV(NSTATV), 1 DDSDDE(NTENS,NTENS),DDSDDT(NTENS),DRPLDE(NTENS), 2 STRAN(NTENS),DSTRAN(NTENS),TIME(2),PREDEF(1),DPRED(1), 3 PROPS(NPROPS),COORDS(3),DROT(3,3),DFGRD0(3,3),DFGRD1(3,3) ****************************************** ** The following parameters must be set ** ! activate debug mode with Visual Studio ! 0 = off ; 1 = on integer, parameter :: debug = 0 ! activate GND calculations ! 0 = off ; 1 = on integer, parameter :: gndon = 0 ! activate twin systems ! 0 = off ; 1 = on integer, parameter :: twinon = 0 ! total number of twins (active/inactive) integer, parameter :: TotalNTwin = 2 ! the active twins are the ones in the ! interval [nTwinStart,nTwinEnd] in the ! twin system file integer, parameter :: nTwinStart = 1 integer, parameter :: nTwinEnd = 2 ! activate irradiation effect ! 0 = off ; 1 = on integer, parameter :: irradiate = 0 ! Activate cubic slip systems for single crystal FCC integer, parameter :: cubicslip = 0 ** End of parameters to set ** ****************************************** ! dimension of the space PARAMETER (M=3,N=3) ! Gauss points coordinates of the parent C3D8 element DIMENSION gauss(8,3), gausscoords(3,8) ! identity matrix DIMENSION xI(3,3) ! coordinates of the nodes of the parent element DIMENSION xnat(8,3) ! curl of the plastic deformation gradient DIMENSION curlfp(8,9) ! plastic deformation gradient DIMENSION Fp(8,9) ! stress components real*8 :: stressvec(6) ! stress increment real*8 :: dstressinc(6) ! strain increment real*8 :: dtotstran(6) ! total strain real*8 :: totstran(6) ! time derivative of the deformation gradient real*8 :: Fdot(3,3) ! inverse of the deformation gradient real*8 :: invF(3,3) ! deformation gradient at previous increment real*8 :: F(3,3) ! velocity gradient real*8 :: L(3,3) ! Von Mises invariant plastic strain rate real*8 :: pdot ! Von Mises stress real*8 :: vms integer :: i, j, K, debugWait ! number of slip systems integer :: nSys ! total number of twins integer :: nTwin ! number of screw systems integer :: ns ! number of active slip systems considered integer :: L0=12 ! HCP integer :: L1=12 ! BCC integer :: L2 ! FCC: variable because cubic systems can be included integer :: L4=7 ! Olivine integer :: LalphaUranium=8 ! alpha-uranium ! crystal type ! first material constant in the input file ! 0 = HCP ! 1 = BCC ! 2 = BCC ! 3 = Carbide ! 4 = Olivine ! 5 = Orthorombic integer :: iphase ! integral of the twin volume fraction in a 1 um cylinder around ! the twin plane normal is calculated to determine the CRSS ! of the twin system in the discrete twin model real*8 :: TwinIntegral(TotalNTwin) ! position of the Gauss point in the C3D8 parent element PARAMETER ( xgauss = 0.577350269189626) include 'mycommon.f' ! arrays to store element index and IP index ! of the neighbouring IPs integer, target :: Twin1UpDownEl(ArrayNUpDown), Twin1UpDownIP(ArrayNUpDown) ! first twin sys storage integer, target :: Twin2UpDownEl(ArrayNUpDown), Twin2UpDownIP(ArrayNUpDown) ! second twin sys storage pointer(ptrTwin1UpDownEl,Twin1UpDownEl) pointer(ptrTwin1UpDownIP,Twin1UpDownIP) pointer(ptrTwin2UpDownEl,Twin2UpDownEl) pointer(ptrTwin2UpDownIP,Twin2UpDownIP) ! wait here to attach Visual Studio debugger do while (debug == 1) debugWait = 1 end do ! if sinh( ) in the slip law has probably blown up ! then try again with smaller dt if(any(DFGRD1 /= DFGRD1)) then call MutexLock( 1 ) ! lock Mutex #1 pnewdt = 0.5 write(*,*) "*** WARNING DFGRD1 = NaN: noel, npt, time: ", noel, npt, time call MutexUnlock( 1 ) ! lock Mutex #1 return end if if (cubicslip == 0) then L2=12 else L2=18 end if ! read crystal type from input file ! first material constant iphase = int(props(1)) SELECT CASE(iphase) CASE(0) !hcp nSys = L0 ns = 9 ! number of screw systems case(1) !bcc nSys = L1 ns = 4 case(2) !fcc nSys = L2 ns = 6 case(3) !carbide nSys = L2 ns = 0 case(4) !olivine nSys = L4 ns = 2 case(5) !alpha-Uranium nSys = 8 ns = 0 case default WRITE(*,*)"Not sure what crystal type. Material constants." END SELECT ! assign number of twins to initialize ! arrays with the right size in kmat nTwin = TotalNTwin C WRITE PROPS INTO SVARS TO INITIALIZE (ONCE ONLY), if (kinc <= 1 .and. kstep==1) then STATEV = 0. ! read rotation matrix from the material constants ! 2 to 10 in the input file ! and assign to state variables 1 to 9 ! order of the components in the input file must be ! R11, R12, R13, R21, R22, R23, R31, R32, R33 do i=1,3 do j=1,3 STATEV(j+(i-1)*3) = props(j+1+((i-1)*3)) end do end do ! Initialize plastic deformation gradient ! to identity STATEV(81) = 1.0 STATEV(85) = 1.0 STATEV(89) = 1.0 ! initialize cumulative plastic slip to zero STATEV(35) = 0.0 ! initialize hardening from defects if (irradiate == 1) then STATEV(36) = 750.0 else STATEV(36) = 0.0 end if ! initialize sessile SSD density STATEV(54) = 0.01 ! initialize dislocation density and twin phase field call kRhoTwinInit(nTwin,M,NSTATV,STATEV,twinon,nTwinStart,nTwinEnd, + iphase,COORDS,nSys) ! initialize plastic deformation gradient call MutexLock( 2 ) ! lock Mutex #2 kFp(noel,npt,1:9) = 0.0 call MutexUnlock( 2 ) ! unlock Mutex #2 ! initialize gauss points coordinates call MutexLock( 3 ) ! lock Mutex #3 kgausscoords(noel,npt,1:3) = coords(1:3) call MutexUnlock( 3 ) ! unlock Mutex #3 ! initialize curl of plastic deformation gradient call MutexLock( 4 ) ! lock Mutex #4 kcurlFp(noel,npt,1:9) = 0.0 call MutexUnlock( 4 ) ! unlock Mutex #4 ! initialize number of neighbouring IPs call MutexLock( 7 ) ! lock Mutex #7 kNoNeighbours(noel,npt,1:2) = 0 call MutexUnlock( 7 ) ! unlock Mutex #7 ! initialize grain index ! it is the constant 11 in the ! material constants of the input file call MutexLock( 8 ) ! lock Mutex #8 kGrainIndex(noel,npt) = props(11) NUpDownExceeded = 0 call MutexUnlock( 8 ) ! unlock Mutex #8 ! initialize maximum stress of the cohesive law ! and effective opening of fracture surface call MutexLock( 13 ) ! lock Mutex #13 kSigma0(noel,npt) = 1300.0 kDeltaEff(noel,npt) = 0.0 call MutexUnlock( 13 ) ! unlock Mutex #13 ! define local thread variables to store the element and IP ! indices that are within a length l0 ! from the current noel and npt if (twinon == 1) then ptrTwin1UpDownEl = SMAIntArrayCreate(1,ArrayNUpDown,0) ptrTwin1UpDownIP = SMAIntArrayCreate(2,ArrayNUpDown,0) ptrTwin2UpDownEl = SMAIntArrayCreate(3,ArrayNUpDown,0) ptrTwin2UpDownIP = SMAIntArrayCreate(4,ArrayNUpDown,0) end if end if ! END OF WRITE PROPS INTO SVARS TO INITIALIZE (ONCE ONLY) ! access the arrays TwinUpDownEl, TwinUpDownIP ! and assign them to the pointers if (twinon == 1) then ptrTwin1UpDownEl = SMAIntArrayAccess(1) ptrTwin1UpDownIP = SMAIntArrayAccess(2) ptrTwin2UpDownEl = SMAIntArrayAccess(3) ptrTwin2UpDownIP = SMAIntArrayAccess(4) end if ! calculation of Twin1UpDownEl, Twin1UpDownIP ! calculation of Twin2UpDownEl, Twin2UpDownIP ! at the second increment when kgausscoords ! have been assigned for all elements and IPs if (kinc == 2 .and. kstep == 1 .and. twinon == 1) then call MutexLock( 9 ) ! lock Mutex #9 call kfindneighbourhood(noel,npt,COORDS,STATEV,NSTATV, + Twin1UpDownEl,Twin1UpDownIP,Twin2UpDownEl,Twin2UpDownIP, + nTwinStart,nTwinEnd,nTwin) call MutexUnlock( 9 ) ! unlock Mutex #9 end if ! END OF CALCULATION OF TwinUpDownEl and TwinUpDownIP (ONCE ONLY) ! define identity matrix xI=0. DO I=1,3 xI(I,I)=1. END DO C DETERMINE DEFORMATION AND VELOCITY GRADIENTS stressvec = 0.0 F=0. invF = 0. Fdot = 0. L=0. F = DFGRD0 Fdot = (DFGRD1-DFGRD0)/DTIME CALL lapinverse(F,3,info,invF) L = matmul(Fdot,invF) ! assign curl of plastic deformation gradient ! to state variables for output DO i=1,9 statev(37+i) = kcurlfp(noel,npt,i) END DO ! calculate integral of the twin volume fraction ! for the two twin systems ! in the up/down region TwinIntegral(1:nTwin) = 0.0 if (twinon == 1) then ! active twin if (kinc >= 2 .or. kstep > 1) then ! TwinUpDownEl, TwinUpDownIP already assigned call ktwinvolfracintegral(noel,npt,TwinIntegral, + Twin1UpDownEl,Twin1UpDownIP,Twin2UpDownEl,Twin2UpDownIP, + nTwinStart,nTwinEnd,nTwin) end if ! check increment end if ! active twin C CALL KMAT FOR MATERIAL BEHAVIOUR - Global stiffness matrix C C and stress call kmat(dtime,NSTATV,STATEV,xI,NOEL,NPT,time,F, + L,iphase,irradiate,DDSDDE,stressvec,dstressinc,totstran,dtotstran, + TEMP,DTEMP,vms,pdot,pnewdt,gndon,nSys,nTwin,ns,coords, + TwinIntegral,nTwinStart,nTwinEnd,twinon,cubicslip) ! store twin phase field ! in common block variable call MutexLock( 14 ) ! lock Mutex #14 kTwinVolFrac(noel,npt,1) = STATEV(106+nTwinStart) kTwinVolFrac(noel,npt,2) = STATEV(106+nTwinEnd) call MutexUnlock( 14 ) ! unlock Mutex #14 ! store UEL variable in STATEV ! for output STATEV(124) = kDeltaEff(noel,npt) STATEV(125) = kSigma0(noel,npt) C RECOVER stress for calculating residual force DO K=1,6 stress(K)=STATEV(47+K) END DO ! GND calculations if (gndon == 1) then call MutexLock( 5 ) ! lock Mutex #5 kFp(noel,npt,1:9)= statev(81:89) call MutexUnlock( 5 ) ! unlock Mutex #5 IF (npt == 8 ) THEN ! update curl Fp C======================================================================= C SPECIFY GAUSS POINT LOCAL COORDS, AND WEIGHTING CONSTANTS xnat(1,:) = (/-1.,1.,1./) xnat(2,:) = (/-1.,-1.,1./) xnat(3,:) = (/-1.,1.,-1./) xnat(4,:) = (/-1.,-1.,-1./) xnat(5,:) = (/1.,1.,1./) xnat(6,:) = (/1.,-1.,1./) xnat(7,:) = (/1.,1.,-1./) xnat(8,:) = (/1.,-1.,-1./) do i = 1,8 gauss(i,:)=(/xnat(i,1),xnat(i,2),xnat(i,3)/)*xgauss end do DO i=1,3 gausscoords(i,1:8) = kgausscoords(noel,1:8,i) END DO Fp = kFp(noel,1:8,1:9) C======================================================================= C A FULL INTEGRATION GRADIENT SCHEME CALL kcurlET(curlFp,Fp,xnat,gauss,gausscoords) ! faster and cleaned up version but same result as kcurl call MutexLock( 6 ) ! lock Mutex #6 kcurlFp(noel,1:8,1:9) = curlFp(1:8,1:9) call MutexUnlock( 6 ) ! unlock Mutex #6 END IF ! 8 IP check end if RETURN END include 'kmat.f' include 'uexternaldb.f' include 'kdirns.f' include 'ktwinrot.f' include 'kslip0.f' include 'kslip5ET.f' include 'kslip6ET.f' include 'kslipPowerLaw.f' include 'kgndl2ET.f' include 'kcurlET.f' include 'kshapes.f' include 'utils.f' include 'UEL.for' include 'ktwinneighbourhood.f' include 'kRhoTwinInit.f' include 'kMaterialParam.f' include 'kCRSS.f' include 'kHardening.f' include 'kslipCreepPowerLaw.f' ================================================ FILE: old version/utils.f ================================================ C ************************************************* C ************************************************* C * UTILITY SUBROUTINES * C ************************************************* C ************************************************* C C ************************************************* C * TRACE OF A 3X3 MATRIX * C ************************************************* real*8 function trace(A) real*8, intent(in):: A(3,3) trace = A(1,1)+A(2,2)+A(3,3) return end function !Trace for any size of square matrix ! real*8 function trace(A) ! real*8, intent(in):: A(:,:) ! real*8 :: X ! integer :: N ! ! X = 0. ! do i=1,ubound(A,1) ! X = X+ A(i,i) ! end do ! trace = X ! return ! end function C ************************************************* C * TRANSFER 3X3 MATRIX TO 6X1 COLUMN VECTOR * C ************************************************* SUBROUTINE KMATVEC6(DMIN,DVOUT) INCLUDE 'aba_param.inc' PARAMETER (M=3,N=3,K=6) DIMENSION DMIN(M,N),DVOUT(K) DO I=1,M DVOUT(I)=DMIN(I,I) END DO DVOUT(4) = DMIN(1,2) DVOUT(5) = DMIN(1,3) DVOUT(6) = DMIN(2,3) RETURN END C ************************************************* C * TRANSFER 6X1 COLUMN VECTOR TO 3X3 MATRIX * C ************************************************* SUBROUTINE KVECMAT6(DVIN,DMOUT) INCLUDE 'aba_param.inc' PARAMETER (M=3,N=3,K=6) DIMENSION DVIN(K),DMOUT(M,N) DO I=1,M DMOUT(I,I) = DVIN(I) END DO DMOUT(1,2) = DVIN(4) DMOUT(2,1) = DVIN(4) DMOUT(1,3) = DVIN(5) DMOUT(3,1) = DVIN(5) DMOUT(3,2) = DVIN(6) DMOUT(2,3) = DVIN(6) RETURN END C ************************************************* C * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 * C ************************************************* SUBROUTINE KVECPROD(DVIN1,DVIN2,DVOUT) INCLUDE 'ABA_PARAM.INC' PARAMETER(M=3) DIMENSION DVIN1(M),DVIN2(M),DVOUT(M) DVOUT(1)=DVIN1(2)*DVIN2(3)-DVIN2(2)*DVIN1(3) DVOUT(2)=DVIN2(1)*DVIN1(3)-DVIN1(1)*DVIN2(3) DVOUT(3)=DVIN1(1)*DVIN2(2)-DVIN2(1)*DVIN1(2) RETURN END C ************************************************* C * VECTOR PRODUCT OF 3X1 WITH 3X1 GIVING 3X1 * C ************************************************* SUBROUTINE KDOTPROD(DVIN1,DVIN2,DVOUT) INCLUDE 'ABA_PARAM.INC' PARAMETER(M=3) DIMENSION DVIN1(M),DVIN2(M) DVOUT = DVIN1(1)*DVIN2(1)+DVIN1(2)*DVIN2(2)+DVIN1(3)*DVIN2(3) DVOUT = abs(DVOUT) RETURN END C ************************************************* C *TRANSFER GENERAL 3X3 MATRIX TO 6X1 COLUMN VECTOR * C ************************************************* SUBROUTINE KGMATVEC6(DMIN,DVOUT) INCLUDE 'ABA_PARAM.INC' PARAMETER (M=3,N=3,K=6) DIMENSION DMIN(M,N),DVOUT(K) DO I=1,M DVOUT(I)=DMIN(I,I) END DO DVOUT(4) = DMIN(1,2)+DMIN(2,1) DVOUT(5) = DMIN(3,1)+DMIN(1,3) DVOUT(6) = DMIN(2,3)+DMIN(3,2) RETURN END C ************************************************* C * INVERSE OF A MATRIX WITH LAPACK * C ************************************************* !Checked inverse against python's numpy.linalg.inv subroutine lapinverse(xmatin,M,info,xmatout) implicit none integer,intent(in) :: M real*8,intent(in):: xmatin(M,M) !abaqus won't allow xmatin(:,:) integer,parameter :: LWORK = 64 real*8,parameter :: zero=1.0e-12 integer :: i,j integer,intent(out) :: INFO real*8,intent(out):: xmatout(M,M) integer :: IPIV(M) real*8 :: A(M,M) real*8 :: WORK(LWORK) EXTERNAL DGETRI, DGETRF ! https://software.intel.com/en-us/mkl-developer-reference-fortran-getri#626EB2AE-CA6A-4233-A6FA-04F54EF7A6E6 xmatout = 0. A = xmatin !Don't input array xmatin call DGETRF( M, M, A, M, IPIV, INFO ) if(info == 0) then call DGETRI( M, A, M, IPIV, WORK, LWORK, INFO ) !write(*,*) "work(1) == min LWORK needed", work(1) else xmatout = 0. write (*,*)"DGETRF, illegal value at = ",-info,". No inverse" end if do i=1,m; do j=1,m; if (abs(A(i,j))<= zero) A(i,j) = 0. end do end do xmatout = A return end subroutine ! subroutine lapinverseOLD(xmatin,m,info,xmatout) ! implicit none ! ! integer,intent(in) :: m ! real*8,intent(in):: xmatin(m,m) !abaqus won't allow xmatin(:,:) ! ! integer,parameter :: LWORK = 8000 ! real*8,parameter :: zero=1.0e-6 ! integer :: LDA,ialloc,i,n,j ! ! integer,intent(out) :: INFO ! real*8,intent(out):: xmatout(m,m) ! integer, allocatable :: IPIV(:) ! real*8, allocatable :: A(:,:) ! real*8 :: WORK(LWORK) ! EXTERNAL DGETRI, DGETRF ! ! LDA = max(1,m); n = m ! xmatout = 0. ! ! allocate(A(LDA,n),IPIV(min(m,n)),stat=ialloc) ! ! A = xmatin !Don't input array xmatin ! ! call DGETRF( M, N, A, LDA, IPIV, INFO ) ! ! if(info < 0) then !! write (6,*)"DGETRF, illegal value at = ",-info,". No inverse" ! xmatout = 0. ! ! else if(info > 0) then !! write (6,*)"DGETRF, U(i,i) zero at i = ",info,". No inverse" ! xmatout = 0. ! ! else ! call DGETRI( N, A, LDA, IPIV, WORK, LWORK, INFO ) ! ! do i=1,m; do j=1,m; if (abs(A(i,j))<= zero) A(i,j) = 0. ! end do; end do ! xmatout = A ! ! end if ! ! deallocate(A,IPIV) ! return ! end subroutine C **************************************************** C * INVERSE OF A MATRIX WITHOUT LAPACK * C **************************************************** subroutine nolapinverse(a,c,n) !============================================================ ! Inverse matrix ! Method: Based on Doolittle LU factorization for Ax=b ! Alex G. December 2009 !----------------------------------------------------------- ! input ... ! a(n,n) - array of coefficients for matrix A ! n - dimension ! output ... ! c(n,n) - inverse matrix of A ! comments ... ! the original matrix a(n,n) will be destroyed ! during the calculation !=========================================================== implicit none integer,intent(in) :: n real*8 :: a(n,n) real*8,intent(out) :: c(n,n) real*8 :: L(n,n), U(n,n), b(n), d(n), x(n) real*8 :: coeff integer :: i, j, k ! step 0: initialization for matrices L and U and b ! Fortran 90/95 aloows such operations on matrices L=0.0 U=0.0 b=0.0 ! step 1: forward elimination do k=1,n-1 do i=k+1,n coeff=a(i,k)/a(k,k) L(i,k) = coeff do j=k+1,n a(i,j) = a(i,j)-coeff*a(k,j) end do end do end do ! Step 2: prepare L and U matrices ! L matrix is a matrix of the elimination coefficient ! + the diagonal elements are 1.0 do i=1,n L(i,i) = 1.0 end do ! U matrix is the upper triangular part of A do j=1,n do i=1,j U(i,j) = a(i,j) end do end do ! Step 3: compute columns of the inverse matrix C do k=1,n b(k)=1.0 d(1) = b(1) ! Step 3a: Solve Ld=b using the forward substitution do i=2,n d(i)=b(i) do j=1,i-1 d(i) = d(i) - L(i,j)*d(j) end do end do ! Step 3b: Solve Ux=d using the back substitution x(n)=d(n)/U(n,n) do i = n-1,1,-1 x(i) = d(i) do j=n,i+1,-1 x(i)=x(i)-U(i,j)*x(j) end do x(i) = x(i)/u(i,i) end do ! Step 3c: fill the solutions x(n) into column k of C do i=1,n c(i,k) = x(i) end do b(k)=0.0 end do end subroutine nolapinverse C ************************************************* C * SUBROUTINE MATRIX SQURAE ROOT * C ************************************************* SUBROUTINE KMSQRT(a,b) INCLUDE 'ABA_PARAM.INC' PARAMETER (n=3,nx=3) DIMENSION a(n,n),diag(n,n),q(n,n),d(n),b(n,n), + qtrans(n,n),result(n,n) diag=0.; b=0.; q=0.;result=0.;d=0. call Kjacobi(a,n,d,q) call Keigsrt(d,q,n) C do i=1,n if (d(i) .ge. 0) then diag(i,i)=sqrt(d(i)) else write (6,*) 'the matrix is not positive definite' end if end do result = matmul(q,diag) b = matmul(result,transpose(q)) return end C C C ************************************************* C * SUBROUTINE MATRIX EIGENVALUES AND EIGENVECTORS* C ************************************************* C SUBROUTINE KJACOBI(a,n,d,v) INCLUDE 'ABA_PARAM.INC' PARAMETER (NMAX=500) DIMENSION a(n,n),d(n),v(n,n),b(NMAX),z(NMAX),dial(n,n) do ip=1,n do iq=1,n v(ip,iq)=0. end do v(ip,ip)=1. end do C do ip=1,n b(ip)=a(ip,ip) d(ip)=b(ip) z(ip)=0. end do C nrot=0 do i=1,50 sm=0. do ip=1,n-1 do iq=ip+1,n sm=sm+abs(a(ip,iq)) end do end do C if (sm .eq. 0.) return if (i .lt. 4) then tresh=0.2*sm/n**2 else tresh=0. end if C do ip=1,n-1 do iq=ip+1,n g=100.*abs(a(ip,iq)) if ((i .gt. 4) .and. (abs(d(ip))+g .eq. abs(d(ip))) + .and. (abs(d(ip))+g .eq. abs(d(iq)))) then a(ip,iq)=0. else if (abs(a(ip,iq)) .gt. tresh) then h=d(iq)-d(ip) if (abs(h)+g .eq. abs(h)) then t=a(ip,iq)/h else theta=0.5*h/a(ip,iq) t=1./(abs(theta)+sqrt(1.+theta**2)) if (theta .lt. 0) t=-t end if c=1./sqrt(1+t**2) s=t*c ta=s/(1.+c) h=t*a(ip,iq) z(ip)=z(ip)-h z(iq)=z(iq)+h d(ip)=d(ip)-h d(iq)=d(iq)+h a(ip,iq)=0. C do j=1,ip-1 g=a(j,ip) h=a(j,iq) a(j,ip)=g-s*(h+g*ta) a(j,iq)=h+s*(g-h*ta) end do C do j=ip+1,iq-1 g=a(ip,j) h=a(j,iq) a(ip,j)=g-s*(h+g*ta) a(j,iq)=h+s*(g-h*ta) end do C do j=iq+1,n g=a(ip,j) h=a(iq,j) a(ip,j)=g-s*(h+g*ta) a(iq,j)=h+s*(g-h*ta) end do C do j=1,n g=v(j,ip) h=v(j,iq) v(j,ip)=g-s*(h+g*ta) v(j,iq)=h+s*(g-h*ta) end do C nrot=nrot+1 end if end do end do C do ip=1,n b(ip)=b(ip)+z(ip) d(ip)=b(ip) z(ip)=0. end do end do C C return C END C ************************************************* C * SUBROUTINE SORT EIGENVALUES * C ************************************************* SUBROUTINE kEIGSRT(D,V,N) INCLUDE 'ABA_PARAM.INC' DIMENSION D(N),V(N,N) DO I=1,N-1 K=I P=D(I) DO J=I+1,N IF(D(J).GE.P)THEN K=J P=D(J) ENDIF END DO IF(K.NE.I)THEN D(K)=D(I) D(I)=P DO J=1,N P=V(J,I) V(J,I)=V(J,K) V(J,K)=P END DO ENDIF END DO RETURN END C ************************************************* C * THE DETERMINANT OF A 3X3 MATRIX * C ************************************************* SUBROUTINE KDETER(DMIN,D) INCLUDE 'ABA_PARAM.INC' PARAMETER(M=3,N=3) DIMENSION DMIN(M,N) D=0. D=DMIN(1,1)*DMIN(2,2)*DMIN(3,3)+DMIN(1,2)* + DMIN(2,3)*DMIN(3,1)+DMIN(2,1)*DMIN(3,2)* + DMIN(1,3)-DMIN(1,3)*DMIN(2,2)*DMIN(3,1)- + DMIN(1,1)*DMIN(2,3)*DMIN(3,2)-DMIN(1,2)* + DMIN(2,1)*DMIN(3,3) RETURN END C ************************************************* C * Build 4th order rotation matrix (tsigma) * C ************************************************* subroutine rotord4sig(xrot,tSigma) real*8, intent(in) :: xrot(3,3) real*8, intent(out) :: tSigma(6,6) tSigma(1,1) = xRot(1,1)*xRot(1,1) tSigma(1,2) = xRot(1,2)*xRot(1,2) tSigma(1,3) = xRot(1,3)*xRot(1,3) tSigma(1,4) = 2.0*xRot(1,1)*xRot(1,2) tSigma(1,6) = 2.0*xRot(1,2)*xRot(1,3) tSigma(1,5) = 2.0*xRot(1,3)*xRot(1,1) tSigma(2,1) = xRot(2,1)*xRot(2,1) tSigma(2,2) = xRot(2,2)*xRot(2,2) tSigma(2,3) = xRot(2,3)*xRot(2,3) tSigma(2,4) = 2.0*xRot(2,1)*xRot(2,2) tSigma(2,6) = 2.0*xRot(2,2)*xRot(2,3) tSigma(2,5) = 2.0*xRot(2,3)*xRot(2,1) tSigma(3,1) = xRot(3,1)*xRot(3,1) tSigma(3,2) = xRot(3,2)*xRot(3,2) tSigma(3,3) = xRot(3,3)*xRot(3,3) tSigma(3,4) = 2.0*xRot(3,1)*xRot(3,2) tSigma(3,6) = 2.0*xRot(3,2)*xRot(3,3) tSigma(3,5) = 2.0*xRot(3,3)*xRot(3,1) tSigma(4,1) = xRot(1,1)*xRot(2,1) tSigma(4,2) = xRot(1,2)*xRot(2,2) tSigma(4,3) = xRot(1,3)*xRot(2,3) tSigma(4,4) = xRot(1,1)*xRot(2,2) + xRot(1,2)*xRot(2,1) tSigma(4,6) = xRot(1,2)*xRot(2,3) + xRot(2,2)*xRot(1,3) tSigma(4,5) = xRot(1,3)*xRot(2,1) + xRot(2,3)*xRot(1,1) tSigma(6,1) = xRot(2,1)*xRot(3,1) tSigma(6,2) = xRot(2,2)*xRot(3,2) tSigma(6,3) = xRot(2,3)*xRot(3,3) tSigma(6,4) = xRot(2,1)*xRot(3,2) + xRot(3,1)*xRot(2,2) tSigma(6,6) = xRot(2,2)*xRot(3,3) + xRot(2,3)*xRot(3,2) tSigma(6,5) = xRot(2,3)*xRot(3,1) + xRot(3,3)*xRot(2,1) tSigma(5,1) = xRot(3,1)*xRot(1,1) tSigma(5,2) = xRot(3,2)*xRot(1,2) tSigma(5,3) = xRot(3,3)*xRot(1,3) tSigma(5,4) = xRot(3,1)*xRot(1,2) + xRot(1,1)*xRot(3,2) tSigma(5,6) = xRot(3,2)*xRot(1,3) + xRot(1,2)*xRot(3,3) tSigma(5,5) = xRot(3,3)*xRot(1,1) + xRot(3,1)*xRot(1,3) return end subroutine C ************************************************* C * Build 4th order rotation matrix (tstran) * C ************************************************* subroutine rotord4str(xrot,tStran) real*8, intent(in) :: xrot(3,3) real*8, intent(out) :: tStran(6,6) tStran(1,1) = xRot(1,1)*xRot(1,1) tStran(1,2) = xRot(1,2)*xRot(1,2) tStran(1,3) = xRot(1,3)*xRot(1,3) tStran(1,4) = xRot(1,1)*xRot(1,2) tStran(1,6) = xRot(1,2)*xRot(1,3) tStran(1,5) = xRot(1,3)*xRot(1,1) tStran(2,1) = xRot(2,1)*xRot(2,1) tStran(2,2) = xRot(2,2)*xRot(2,2) tStran(2,3) = xRot(2,3)*xRot(2,3) tStran(2,4) = xRot(2,1)*xRot(2,2) tStran(2,6) = xRot(2,2)*xRot(2,3) tStran(2,5) = xRot(2,3)*xRot(2,1) tStran(3,1) = xRot(3,1)*xRot(3,1) tStran(3,2) = xRot(3,2)*xRot(3,2) tStran(3,3) = xRot(3,3)*xRot(3,3) tStran(3,4) = xRot(3,1)*xRot(3,2) tStran(3,6) = xRot(3,2)*xRot(3,3) tStran(3,5) = xRot(3,3)*xRot(3,1) tStran(4,1) = 2.0*xRot(1,1)*xRot(2,1) tStran(4,2) = 2.0*xRot(1,2)*xRot(2,2) tStran(4,3) = 2.0*xRot(1,3)*xRot(2,3) tStran(4,4) = xRot(1,1)*xRot(2,2) + xRot(1,2)*xRot(2,1) tStran(4,6) = xRot(1,2)*xRot(2,3) + xRot(2,2)*xRot(1,3) tStran(4,5) = xRot(1,3)*xRot(2,1) + xRot(2,3)*xRot(1,1) tStran(6,1) = 2.0*xRot(2,1)*xRot(3,1) tStran(6,2) = 2.0*xRot(2,2)*xRot(3,2) tStran(6,3) = 2.0*xRot(2,3)*xRot(3,3) tStran(6,4) = xRot(2,1)*xRot(3,2) + xRot(3,1)*xRot(2,2) tStran(6,6) = xRot(2,2)*xRot(3,3) + xRot(2,3)*xRot(3,2) tStran(6,5) = xRot(2,3)*xRot(3,1) + xRot(3,3)*xRot(2,1) tStran(5,1) = 2.0*xRot(3,1)*xRot(1,1) tStran(5,2) = 2.0*xRot(3,2)*xRot(1,2) tStran(5,3) = 2.0*xRot(3,3)*xRot(1,3) tStran(5,4) = xRot(3,1)*xRot(1,2) + xRot(1,1)*xRot(3,2) tStran(5,6) = xRot(3,2)*xRot(1,3) + xRot(1,2)*xRot(3,3) tStran(5,5) = xRot(3,3)*xRot(1,1) + xRot(3,1)*xRot(1,3) return end subroutine C ************************************************************* C * Build 4th order lower (and upper) tensor product * C * NB: When contracted from 4th to the format used for * C * C-matrix, it turns out that the upper and lower products * C * are the same! * C ************************************************************* subroutine ltprod(A,B,C) real*8, intent(in) :: A(3,3),B(3,3) real*8, intent(out) :: C(6,6) C = 0. C(1,1) = 2*A(1,1)*B(1,1) C(1,2) = 2*A(1,2)*B(1,2) C(1,3) = 2*A(1,3)*B(1,3) C(1,4) = A(1,1)*B(1,2)+A(1,2)*B(1,1) C(1,5) = A(1,1)*B(1,3)+A(1,3)*B(1,1) C(1,6) = A(1,2)*B(1,3)+A(1,3)*B(1,2) C(2,2) = 2*A(2,2)*B(2,2) C(2,3) = 2*A(2,3)*B(2,3) C(2,4) = A(2,1)*B(2,2)+A(2,2)*B(2,1) C(2,5) = A(2,1)*B(2,3)+A(2,3)*B(2,1) C(2,6) = A(2,2)*B(2,3)+A(2,3)*B(2,2) C(3,3) = 2*A(3,3)*B(3,3) C(3,4) = A(3,1)*B(3,2)+A(3,2)*B(3,1) C(3,5) = A(3,1)*B(3,3)+A(3,3)*B(3,1) C(3,6) = A(3,2)*B(3,3)+A(3,3)*B(3,2) C(4,4) = A(1,1)*B(2,2)+A(1,2)*B(2,1) C(4,5) = A(1,1)*B(2,3)+A(1,3)*B(2,1) C(4,6) = A(1,2)*B(2,3)+A(1,3)*B(2,2) C(5,5) = A(1,1)*B(3,3)+A(1,3)*B(3,1) C(5,6) = A(1,2)*B(3,3)+A(1,3)*B(3,2) C(6,6) = A(2,2)*B(3,3)+A(2,3)*B(3,2) do i=2,6 do j=1,i-1 C(i,j)=C(j,i) end do end do C = 0.5*C return end subroutine C ************************************************** C * Build 4th order tensor product (kronecker)* C ************************************************** subroutine tprod(A,B,C) real*8, intent(in) :: A(3,3),B(3,3) real*8, intent(out) :: C(6,6) C = 0. C(1,1) = 2*A(1,1)*B(1,1) C(1,2) = 2*A(1,1)*B(2,2) C(1,3) = 2*A(1,1)*B(3,3) C(1,4) = A(1,1)*B(1,2)+A(1,1)*B(2,1) C(1,5) = A(1,1)*B(1,3)+A(1,1)*B(3,1) C(1,6) = A(1,1)*B(2,3)+A(1,1)*B(3,2) C(2,2) = 2*A(2,2)*B(2,2) C(2,3) = 2*A(2,2)*B(3,3) C(2,4) = A(2,2)*B(1,2)+A(2,2)*B(2,1) C(2,5) = A(2,2)*B(1,3)+A(2,2)*B(3,1) C(2,6) = A(2,2)*B(2,3)+A(2,2)*B(3,2) C(3,3) = 2*A(3,3)*B(3,3) C(3,4) = A(3,3)*B(1,2)+A(3,3)*B(2,1) C(3,5) = A(3,3)*B(1,3)+A(3,3)*B(3,1) C(3,6) = A(3,3)*B(2,3)+A(3,3)*B(3,2) C(4,4) = A(1,2)*B(1,2)+A(1,2)*B(2,1) C(4,5) = A(1,2)*B(1,3)+A(1,2)*B(3,1) C(4,6) = A(1,2)*B(2,3)+A(1,2)*B(3,2) C(5,5) = A(1,3)*B(1,3)+A(1,3)*B(3,1) C(5,6) = A(1,3)*B(2,3)+A(1,3)*B(3,2) C(6,6) = A(2,3)*B(2,3)+A(2,3)*B(3,2) do i=2,6 do j=1,i-1 C(i,j)=C(j,i) end do end do C = 0.5*C return end subroutine ** ** ************************************** ** MULTIPLY MATRIX 1 * ************************************** *USER SUBROUTINE SUBROUTINE KMLT(DM1,DM2,DM) C INCLUDE 'ABA_PARAM.INC' C PARAMETER (M=3,N=3) DIMENSION DM1(M,N),DM2(M,N),DM(M,N) C DO 10 I=1,M DO 10 J=1,N X=0.0 DO 20 K=1,M X=X+DM1(I,K)*DM2(K,J) 20 CONTINUE DM(I,J)=X 10 CONTINUE RETURN END ================================================ FILE: old version/xDir0ET.f ================================================ ! 3 basal ddir(1,:) = (/-0.5000, 0.8660, 0.0000/) ddir(2,:) = (/1.0000, 0.0000, 0.0000/) ddir(3,:) = (/-0.5000, -0.8660, 0.0000/) ! 3 prismatic ddir(4,:) = (/-0.5000, 0.8660, 0.0000/) ddir(5,:) = (/1.0000, 0.0000, 0.0000/) ddir(6,:) = (/-0.5000, -0.8660, 0.0000/) ! 6 slip direc for 1st order pyramidal planes ! ddir(7,:) = (/ -0.5000, 0.8660, 0./) !ddir(8,:) = (/-0.5000, 0.8660, 0./) !ddir(9,:) = (/1.0000, 0., 0./) !ddir(10,:) = (/1.0000, 0., 0./) !ddir(11,:) = (/-0.5000, -0.8660, 0./) !ddir(12,:) = (/-0.5000, -0.8660, 0./) ! 6 slip directions for 2nd order pyramidal slip planes ddir(7,:) = (/-0.3536, 0.6124, 0.7071/) ddir(8,:) = (/-0.3536, 0.6124, -0.7071/) ddir(9,:) = (/ 0.7071, 0.0000, 0.7071/) ddir(10,:) =(/ 0.7071, 0.0000, -0.7071/) ddir(11,:) =(/-0.3536,-0.6124, 0.7071/) ddir(12,:) =(/-0.3536,-0.6124, -0.7071/) ================================================ FILE: old version/xDir1.f ================================================ ddir(1,:) = (/-0.57735027,0.57735027,0.57735027/) ddir(2,:) = (/0.57735027,-0.57735027,0.57735027/) ddir(3,:) = (/0.57735027,0.57735027,0.57735027/) ddir(4,:) = (/0.57735027,-0.57735027,0.57735027/) ddir(5,:) = (/0.57735027,0.57735027,0.57735027/) ddir(6,:) = (/0.57735027,0.57735027,-0.57735027/) ddir(7,:) = (/0.57735027,0.57735027,0.57735027/) ddir(8,:) = (/-0.57735027,0.57735027,0.57735027/) ddir(9,:) = (/0.57735027,-0.57735027,0.57735027/) ddir(10,:) = (/0.57735027,0.57735027,-0.57735027/) ddir(11,:) = (/-0.57735027,0.57735027,0.57735027/) ddir(12,:) = (/0.57735027,0.57735027,-0.57735027/) !ddir(13,:) = (/0.57735027,0.57735027,-0.57735027/) !ddir(14,:) = (/0.57735027,-0.57735027,0.57735027/) !ddir(15,:) = (/-0.57735027,0.57735027,0.57735027/) !ddir(16,:) = (/0.57735027,0.57735027,0.57735027/) !ddir(17,:) = (/0.57735027,-0.57735027,0.57735027/) !ddir(18,:) = (/0.57735027,0.57735027,-0.57735027/) !ddir(19,:) = (/0.57735027,0.57735027,0.57735027/) !ddir(20,:) = (/-0.57735027,0.57735027,0.57735027/) !ddir(21,:) = (/-0.57735027,0.57735027,0.57735027/) !ddir(22,:) = (/0.57735027,0.57735027,0.57735027/) !ddir(23,:) = (/0.57735027,0.57735027,-0.57735027/) !ddir(24,:) = (/0.57735027,-0.57735027,0.57735027/) ================================================ FILE: old version/xDir2.f ================================================ ddir(1,:) = (/0.70710678,-0.70710678,0.00000000/) ddir(2,:) = (/0.00000000,0.70710678,-0.70710678/) ddir(3,:) = (/0.70710678,0.00000000,-0.70710678/) ddir(4,:) = (/0.70710678,0.70710678,0.00000000/) ddir(5,:) = (/0.00000000,0.70710678,-0.70710678/) ddir(6,:) = (/0.70710678,0.00000000,0.70710678/) ddir(7,:) = (/0.70710678,0.70710678,0.00000000/) ddir(8,:) = (/0.00000000,0.70710678,0.70710678/) ddir(9,:) = (/0.70710678,0.00000000,-0.70710678/) ddir(10,:) = (/0.70710678,-0.70710678,0.00000000/) ddir(11,:) = (/0.00000000,0.70710678,0.70710678/) ddir(12,:) = (/0.70710678,0.00000000,0.70710678/) ================================================ FILE: old version/xDir2c.f ================================================ ddir(1,:) = (/0.70710678,-0.70710678,0.00000000/) ddir(2,:) = (/0.00000000,0.70710678,-0.70710678/) ddir(3,:) = (/0.70710678,0.00000000,-0.70710678/) ddir(4,:) = (/0.70710678,0.70710678,0.00000000/) ddir(5,:) = (/0.00000000,0.70710678,-0.70710678/) ddir(6,:) = (/0.70710678,0.00000000,0.70710678/) ddir(7,:) = (/0.70710678,0.70710678,0.00000000/) ddir(8,:) = (/0.00000000,0.70710678,0.70710678/) ddir(9,:) = (/0.70710678,0.00000000,-0.70710678/) ddir(10,:) = (/0.70710678,-0.70710678,0.00000000/) ddir(11,:) = (/0.00000000,0.70710678,0.70710678/) ddir(12,:) = (/0.70710678,0.00000000,0.70710678/) ddir(13,:) = (/0.00000000,0.70710678,0.70710678/) ddir(14,:) = (/0.00000000,0.70710678,-0.70710678/) ddir(15,:) = (/0.70710678,0.00000000,0.70710678/) ddir(16,:) = (/0.70710678,0.00000000,-0.70710678/) ddir(17,:) = (/0.70710678,0.70710678,0.000000000/) ddir(18,:) = (/0.70710678,-0.70710678,0.000000000/) ================================================ FILE: old version/xDir4.f ================================================ ddir(1,:) = (/1.0,0.0,0.0/) ddir(2,:) = (/1.0,0.0,0.0/) ddir(3,:) = (/0.0,0.0,1.0/) ddir(4,:) = (/0.0,0.0,1.0/) ddir(5,:) = (/1.0,0.0,0.0/) ddir(6,:) = (/1.0,0.0,0.0/) ddir(7,:) = (/0.0,0.0,1.0/) ================================================ FILE: old version/xDirAlphaUranium.f ================================================ ! slip directions of alpha-Uranium ! see McCabe, Tome et al 2010 (Figure 2) ddir(1,:) = (/1.0,0.0,0.0/) ddir(2,:) = (/1.0,0.0,0.0/) ddir(3,:) = (/0.43731,-0.89931,0.0/) ! [1-10](110) -> [a,-b,0](b,a,0) ddir(4,:) = (/0.43731,0.89931,0.0/) ! [110](1-10) -> [a,b,0](b,-a,0) ddir(5,:) = (/0.24074,-0.49507,0.83483/) ! [1-12](021) -> [a,-b,2c](0,c,b/2) ddir(6,:) = (/-0.24074,-0.49507,0.83483/) ! [-1-12](021) -> [-a,-b,2c](0,c,b/2) ddir(7,:) = (/0.24074,0.49507,0.83483/) ! [112](0-21) -> [a,b,2c](0,c,-b/2) ddir(8,:) = (/0.24074,-0.49507,-0.83483/) ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2) ================================================ FILE: old version/xNorm0ET.f ================================================ ! basal plane for 3 slip dnor(1,:) = (/0.0000,0.0000,1.0000/) dnor(2,:) = (/0.0000,0.0000,1.0000/) dnor(3,:) = (/0.0000,0.0000,1.0000/) !prismatic planes for 3 slip dnor(4,:) = (/-0.8660, -0.5000, 0.0000/) dnor(5,:) = (/ 0.0000, -1.0000, 0.0000/) dnor(6,:) = (/ 0.8660, -0.5000, 0.0000/) ! 6 1st order pyramidal slip planes for slip ! dnor(7,:) = (/-0.7500, -0.4330, 0.5000/) !dnor(8,:) = (/ 0.7500, 0.4330, 0.5000/) !dnor(9,:) = (/ 0., 0.8660, 0.5000/) !dnor(10,:) = (/ 0., -0.8660, 0.5000/) !dnor(11,:) = (/0.7500, -0.4330, 0.5000/) !dnor(12,:) = (/-0.7500, 0.4330, 0.5000/) ! 6 2nd order pyramidalslip planes for slip dnor(7,:) = (/ 0.3536, -0.6124, 0.7071/) dnor(8,:) = (/-0.3536, 0.6124, 0.7071/) dnor(9,:) = (/-0.7071, 0.0000, 0.7071/) dnor(10,:) =(/ 0.7071, 0.0000, 0.7071/) dnor(11,:) =(/ 0.3536, 0.6124, 0.7071/) dnor(12,:) =(/-0.3536, -0.6124, 0.7071/) ================================================ FILE: old version/xNorm1.f ================================================ dnor(1,:) = (/0.70710678,0.70710678,0.00000000/) dnor(2,:) = (/0.70710678,0.70710678,0.00000000/) dnor(3,:) = (/-0.70710678,0.00000000,0.70710678/) dnor(4,:) = (/-0.70710678,0.00000000,0.70710678/) dnor(5,:) = (/-0.70710678,0.70710678,0.00000000/) dnor(6,:) = (/-0.70710678,0.70710678,0.00000000/) dnor(7,:) = (/0.00000000,0.70710678,-0.70710678/) dnor(8,:) = (/0.00000000,0.70710678,-0.70710678/) dnor(9,:) = (/0.00000000,0.70710678,0.70710678/) dnor(10,:) = (/0.00000000,0.70710678,0.70710678/) dnor(11,:) = (/0.70710678,0.00000000,0.70710678/) dnor(12,:) = (/0.70710678,0.00000000,0.70710678/) !dnor(13,:) = (/0.40824829,0.40824829,0.81649658/) !dnor(14,:) = (/-0.40824829,0.40824829,0.81649658/) !dnor(15,:) = (/0.40824829,-0.40824829,0.81649658/) !dnor(16,:) = (/0.40824829,0.40824829,-0.81649658/) !dnor(17,:) = (/0.40824829,0.81649658,0.40824829/) !dnor(18,:) = (/-0.40824829,0.81649658,0.40824829/) !dnor(19,:) = (/0.40824829,-0.81649658,0.40824829/) !dnor(20,:) = (/0.40824829,0.81649658,-0.40824829/) !dnor(21,:) = (/0.81649658,0.40824829,0.40824829/) !dnor(22,:) = (/-0.81649658,0.40824829,0.40824829/) !dnor(23,:) = (/0.81649658,-0.40824829,0.40824829/) !dnor(24,:) = (/0.81649658,0.40824829,-0.40824829/) ================================================ FILE: old version/xNorm2.f ================================================ dnor(1,:) = (/0.57735027,0.57735027,0.57735027/) dnor(2,:) = (/0.57735027,0.57735027,0.57735027/) dnor(3,:) = (/0.57735027,0.57735027,0.57735027/) dnor(4,:) = (/-0.57735027,0.57735027,0.57735027/) dnor(5,:) = (/-0.57735027,0.57735027,0.57735027/) dnor(6,:) = (/-0.57735027,0.57735027,0.57735027/) dnor(7,:) = (/0.57735027,-0.57735027,0.57735027/) dnor(8,:) = (/0.57735027,-0.57735027,0.57735027/) dnor(9,:) = (/0.57735027,-0.57735027,0.57735027/) dnor(10,:) = (/0.57735027,0.57735027,-0.57735027/) dnor(11,:) = (/0.57735027,0.57735027,-0.57735027/) dnor(12,:) = (/0.57735027,0.57735027,-0.57735027/) ================================================ FILE: old version/xNorm2c.f ================================================ dnor(1,:) = (/0.57735027,0.57735027,0.57735027/) dnor(2,:) = (/0.57735027,0.57735027,0.57735027/) dnor(3,:) = (/0.57735027,0.57735027,0.57735027/) dnor(4,:) = (/-0.57735027,0.57735027,0.57735027/) dnor(5,:) = (/-0.57735027,0.57735027,0.57735027/) dnor(6,:) = (/-0.57735027,0.57735027,0.57735027/) dnor(7,:) = (/0.57735027,-0.57735027,0.57735027/) dnor(8,:) = (/0.57735027,-0.57735027,0.57735027/) dnor(9,:) = (/0.57735027,-0.57735027,0.57735027/) dnor(10,:) = (/0.57735027,0.57735027,-0.57735027/) dnor(11,:) = (/0.57735027,0.57735027,-0.57735027/) dnor(12,:) = (/0.57735027,0.57735027,-0.57735027/) dnor(13,:) = (/1.00000000,0.00000000,0.00000000/) dnor(14,:) = (/1.00000000,0.00000000,0.00000000/) dnor(15,:) = (/0.00000000,1.00000000,0.00000000/) dnor(16,:) = (/0.00000000,1.00000000,0.00000000/) dnor(17,:) = (/0.00000000,0.00000000,1.00000000/) dnor(18,:) = (/0.00000000,0.00000000,1.00000000/) ================================================ FILE: old version/xNorm4.f ================================================ dnor(1,:) = (/0.0,1.0,0.0/) dnor(2,:) = (/0.0,0.0,1.0/) dnor(3,:) = (/1.0,0.0,0.0/) dnor(4,:) = (/0.0,1.0,0.0/) dnor(5,:) = (/0.0,0.7071,0.7071/) dnor(6,:) = (/0.0,0.9487,0.3162/) dnor(7,:) = (/0.7071,0.7071,0.0/) ================================================ FILE: old version/xNormAlphaUranium.f ================================================ ! slip plane normals of alpha-Uranium ! see McCabe, Tome et al 2010 (Figure 2) dnor(1,:) = (/0.0,1.0,0.0/) dnor(2,:) = (/0.0,0.0,1.0/) dnor(3,:) = (/0.89931,0.43731,0.0/) ! [1-10](110) -> [a,-b,0](b,a,0) dnor(4,:) = (/0.89931,-0.43731,0.0/) ! [110](1-10) -> [a,b,0](b,-a,0) dnor(5,:) = (/0.0,0.86013,0.51008/) ! [1-12](021) -> [a,-b,2c](0,c,b/2) dnor(6,:) = (/0.0,0.86013,0.51008/) ! [-1-12](021) -> [-a,-b,2c](0,c,b/2) dnor(7,:) = (/0.0,0.86013,-0.51008/) ! [112](0-21) -> [a,b,2c](0,c,-b/2) dnor(8,:) = (/0.0,0.86013,-0.51008/) ! [1-1-2](0-21) -> [a,-b,-2c](0,c,-b/2) ================================================ FILE: old version/xTwinDirAlphaUranium.f ================================================ ! twin directions (eta_1) of alpha-Uranium ! see Zhou, Xiao, Wang et al. 2016 (Table 2) dtwindir(1,:) = (/0.82482,-0.56540,0.0/) ! eta_1 = [3-10] -> [3a,-b,0], K_1 = (130) -> normal is [b,3a,0] dtwindir(2,:) = (/-0.82482,-0.56540,0.0/) ! eta_1 = [-3-10] -> [-3a,-b,0], K_1 = (-130) -> normal is [-b,3a,0] ================================================ FILE: old version/xTwinNormAlphaUranium.f ================================================ ! twin normals (K_1) of alpha-Uranium ! see Zhou, Xiao, Wang et al. 2016 (Table 2) dtwinnor(1,:) = (/0.56540,0.82482,0.0/) ! eta_1 = [3-10] -> [3a,-b,0], K_1 = (130) -> normal is [b,3a,0] dtwinnor(2,:) = (/-0.56540,0.82482,0.0/) ! eta_1 = [-3-10] -> [-3a,-b,0], K_1 = (-130) -> normal is [-b,3a,0]